Average and Alligation Problems PDF

Average and Alligation 1. The average weight of 8 persons increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new person. What could be the weight of new person? 2. The average age of 37 students of a class is 17 years. When the age of class teacher is added, it becomes...

Average and Alligation 1. The average weight of 8 persons increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new person. What could be the weight of new person? 2. The average age of 37 students of a class is 17 years. When the age of class teacher is added, it becomes 18 years. What is the age of class teacher? 3. A man bought 13 shirts for Rs. 50 each, 15 pants of Rs. 60 each and 12 pair of shoes at Rs. 65 a pair. Find average value of each article. 4. The average temperature for first 3 days is 270C and of the next 3 days is 29 0C. If the average temperature of the whole week is 28.5 0C find the temperature of last day: 5. A library has an average number of 510 visitors on Sunday and 240 on other days. Find the average number of visitors per days in a month of 30 days beginning with Sunday. 6. In a test conducted recently, it was found that the average marks obtained by 40 boys is 65 while the average marks obtained by 60 girls is 55. Find the overall marks per student. a. 59 b. 55 c. 60 d. 59.5 7. In an organization, 7 workers were paid an average wage of 300, 5 supervisors were paid 270 in average and 3 executives were paid an average of 500. Find the average wage of all the employees. a. 300 b. 310 c. 320 d. 330 8. The average rainfall in a week is 3 cm. It rained as much on Wednesday as on all other days combined. Find the net rainfall on Wednesday. a. 10.5 b. 11 c. 3 d. 10 9. The average temperature from Monday till Thursday is 48 degrees and the average from Tuesday till Friday is 52 degrees. If the temperature on Monday was 42, what was the temperature on Friday? a. 54 b. 52 c. 56 d. 58 10. The average of 4 consecutive even numbers is 20, what are the numbers? a. 18, 20, 22, 24 b. 16, 18, 20, 22 c. 20, 22, 24,26 d. None of these 11. The average of first 7 consecutive even numbers is A. If the next 4 consecutive even numbers are also included, then find the average of all the 11 numbers. a. A+11 b. A+4 c. A-4 d. Cannot be determined 12. The average first 7 numbers are 5 and the average of first 6 numbers are 4. Find the seventh number. a. 8 b. 9 c. 10 d. 11 13. The average of 11 numbers is 24. If 108 is added find the new average. a. 31 b. 32 c. 33 d. 34 14. Consider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now? a. 40.18 b. 40.56 c. 40.67 d.40.49 15. Suppose there are 7 positive numbers and their average is Z. Now if we take any 4 numbers at a time and calculate their average. Considering all such possible groups, we take average of all these averages. Will this average be equal to the average of seven numbers? 1. Yes b. No c. Cannot be determined d. None of these 16. The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is. a. 100 b. 95 c. 80 d.98 17. In what ratio must wheat at 3.20 Rs/kg be mixed with wheat at 2.90 Rs/kg so that mixture be worth to 3 Rs/kg? 18. The ratio in which tea costing 192 Rs/kg is to be mixed with tea costing150 Rs/kg so that mixed tea when sold at rupees 194.40 Rs/kg gives profit of 20%, 19. A trader has 100 kg of wheat part of which he sells at 5% profit and rest at 20% profit. He gains 15% on whole. Find how much he sold at 5% profit. 20. A mixture of certain quantity of milk with 16 litres of water is worth 90 p/lit if pure milk be worth 1.08 Rs/lit. How much milk is there in the mixture? 21. John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit at the cost price? a. Rs.12 b. Rs.8 c. Rs.16 d. Rs.20 22. In what ratio should rice at Rs.9.4 per Kg be mixed with rice at Rs. 11.8 per Kg so that the mixture be worth Rs.10.4 per Kg? a. 13:10 b. 9:7 c. 7:5 d. 5:3 23. In what ratio the rice of inferior quality of price – Rs. 34/kg should be mixed with the rice of superior quality of price – Rs. 46/ kg so that the seller will gain Rs. 3 after selling the rice for Rs. 45/kg. a. 1:10 b. 4:7 c. 1:2 d. 1:11 24. How many Kg of rice at Rs.17.2 per Kg be mixed with 11 Kg of rice at Rs.19.2 per Kg to get a mixture worth Rs.17.6 per Kg a. 55 b. 44 c. 11/4 d. 11/5 25. In what ratio must tea worth Rs. 120 per kg be mixed with tea worth Rs. 150 a Kg such that by selling the mixture at Rs. 143 a Kg, there will be a gain 10%? a. 4:5 b. 2:1 c. 1:2 d. 7:23 26. How many liters of water must be mixed with 12 liters of milk costing Rs.12 per liter in order to get a mixture worth of Rs.9 per liter? a. 36 b. 3 c. 4 d. 12 27. A dishonest milkman sells his milk at cost price but he mixes it with water and thereby gains 20%. What is the percentage of water in the mixture? a. 33.33 b. 16.66 c. 25 d. 20 28. How many liters of water must be added to 21 liters of milk and water which contains 20% water to make it 40% water in it a. 7 b. 10.5 c. 4.25 d. 63 29. How much pure milk must be added in 240 ml of mixture of milk and water in the ratio 3:1 to make the ratio 4:1? a. 80 b. 60 c. 40 d. NOTA 30. Rice worth Rs. 42 per kg and Rs.35 per kg are mixed with a third variety of rice in the ratio 5: 2: 3. If the mixture is worth Rs. 40 per kg, what is the price of the third variety per kg? a. 38 b. 41.66 c. 40 d. 39 31. A Trader has 2000Kg of rice. He sells a part at 20% profit and the rest at 28% profit. If he gains 25% on the whole, find the quantity sold (in Kg) at 20% profit a. 750 b. 1250 c. 1500 d. NOTA 32. Some amount out of Rs.8000 was lent at 11% per annum and the remaining was lent at 15% per annum. If the total simple interest from both the fractions in 2 years was Rs.2000, then sum lent of 11% per annum was a. 3000 b. 5000 c. 2750 d. 4000 33. A reservoir contains 50 litres of water. 5 litres of water is taken out of it and replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture. (a) 1 : 4 (b) 41 : 50 (c) 19 : 81 (d) 81 : 19 34. A jar full of mixture of milk and water contains 60% milk. A part of this mixture is replaced by another containing 35% milk and now the percentage of milk was found to be 45%. The quantity of mixture replaced is a. 2/3 b. 3/2 c. 3/5 d. 2/5 35. Two solutions of 90% and 97% purity are mixed resulting in 21 liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture? a. 15 liters b. 12 liters c. 9 liters d. 6 liters 36. 13 liter of water is added to 52 liter of a solution containing 40% of alcohol in the water. The percentage of alcohol in the new mixture is a. 32 b. 20 c. 28.5 d. NOTA 37. A container contains 60 liters of water. From this container 6 liters was taken out and replaced by alcohol. This process was repeated further two times. How much liters of water is now left in the container? a. 42 b. 18 c. 48.6 d. 43.74 38. A 20 liter mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture? a. 17 : 3 b. 9 : 1 c. 3 : 17 d. 5 : 3 39. 15 liters are drawn from a cask full of pure milk and is then replaced with water. This operation is performed one more time. The ratio of the quantity of milk now left in cask to that of the water is 16:9. How much milk did the cask originally hold? a. 80 b. 100 c. 60 d. 75 Problem on Ages 1. 5 years ago, the average age of Ram and Shyam was 20 years. Now the average age of Ram, Shyam and Mohan is 30 years. What will be the Mohan’s age 10 years hence? 2. The average age of A, B, C & D 5 years ago was 45 yrs. By joining “present average age of all five is 49 yrs. What is present age of “x”? 3. The average age of father, wife and son 3 years ago was 27 years. 5 years ago from now, the avera ge age of wife and son was 20. Find the present age of the father. a. 30 b. 40 c. 30.5 d. 50 4. The present ages of a man and his son are in the ratio of 7: 2. After 15 years, their ages would be in the ratio of 2: 1. What was father's age when the son was born? 5. Four years ago, a man's age was 6 times that of his son. 12 years from now, his age will be twice that of the son. What is the ratio of their present ages? 6. 4 years ago A is four years younger than B. 6 years hence ratio of ages of A to B will be 16 : 17. Find the sum of ages of both 4 years ago. 112 7. Average age of a family of three members 4 years ago is 20 years. A child was born in the family during this period. If average age of the family three years hence is 21. 5 years then find the present age of the child. 2  Blood Relations 1. Ashish said to Himani, "Your only brother’s son is my wife’s brother". How is Himani related to wife of Ashish? (A)Sister (B) Aunt (C) Mother (D) Daughter 2. Pointing towards a person in a photograph, Alka said, "He is the only son of the father of my sister’s brother". How is that person related to Alka? (A) Uncle (B) Mother (C) Father (D) Brother 3. A is the sister of B, C is the father of B, D is the wife of C and E is the father of D. How is E related to B? (A) Uncle (B) Grandmother (C) Father (D) Grandfather 4. A, B, C, D, E and F belong to a family that has two married couples. No one from the third generation is married. C is F’s mother–in–law. D, E and B are A’s elder sister, father and grandfather respectively Who is C’s husband? (A) A (B) B (C) C (D) E 5. Pointing to a photograph, a person tells his friend, “She is the granddaughter of the elder brother of my father.” How is the girl in the photograph related to this man? (A) Niece (B) Sister (C) Aunt (D) Sister–in–law 6. Pointing to a photograph, Ankit said, “She is the daughter of my grand–father’s only son.” How is Ankit related to the girl in the photograph? (A) Father (B) Brother (C) Cousin (D) Data inadequate 7. If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P? (A) P@Q$T#W*U (B) P@W$Q*T#U (C) P@Q$W*T#U (D) P@Q$T#U*W 8. B5D means B is the father of D. B9D means B is the sister of D. B4D means B is the brother of D. B3D means B is the wife of D. Which of the following means F is the mother of K? (A)F9M4N3K (B) F5M3K (C) F3M5K (D) F3M5N3K 9. P is the sister of Q. R is the father of S, who is the brother of Q. R married to T. How is Q related to T? a) Son b) Daughter c) Either son or daughter d) Date inadequate e) None 10. G is the father of K, who is the brother of B. K married to U. B is the daughter of C. D is the father of U and M is the only son of D. How is U related to C? a) Daughter b) Daughter-in-law c) Granddaughter d) Son-in-law e) None 11. K married to S. P is a brother of B. S is a mother of N, who is a brother of B. How is B related to K? a) Son b) Daughter c) Either son or daughter d) Data Inadequate e) None 12. Pointing to a girl, Mala said, ‘She is the granddaughter of my grandfather’s only son’. How is the girl related to Mala? a) Niece b) Sister c) Daughter d) Cannot be determined e) None of these 13. Pointing a photograph, Sheela said, he is the only son of my grandfather’s only son. How is the boy in the photograph related to Sheela? a) Brother b) Cousin c) Son d) Cannot be determined e) None of these 14. Pointing a boy, Ram said, ‘He is the only son of my grandfather’s son’. How is the boy related to Ram? a) Son b) Brother c) Cousin d) Data Inadequate e) None of these 15. Pointing a girl, Prasad said, ‘she is the only granddaughter of my wife’s grandfather’s only child. How is the girl related to Prasad? a) Sister b) Niece c) Daughter d) Cannot be determined e) None of these 16. A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not the mother of Q. P and R are married couple. Y is the brother of R. X is the daughter of P and Z is the brother of P. Who is the brother–in-law of R? a) P b) Z c) Y d) X e) Q 17. If A-B means ‘A is father of B’, A/B means ‘A is sister of B’, A + B means ‘A is daughter of B’ then how is S related to P in M / P – R + S? a) Mother b) Wife c) Sister d) Cannot be determined e) None of these 18. Pointing to a man on the stage, Rita said, "He is the brother of the daughter of the wife of my husband." How is the man on the stage related to Rita? (a) Son (b) Husband (c) Cousin (d) Nephew (e) Brother-in-law 19. Showing the man receiving the prize, Saroj said, He is the brother of my uncle's daughter." Who is the man to Saroj? (a) Son (b) Brother-in-law (c) Nephew (d) Uncle (e) Cousin 20. Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man? (a) Mother (b) Daughter (c) Sister (d) Grandmother (e) None of these 21. Pointing to a photograph, a man tells his friend, "She is the granddaughter of the elder brother of my father’’ How is the girl in the photograph related to this man? (a) Niece (b) Sister (c) Aunt (d) Sister-in-law (e) Maternal aunt 22. Pointing to a photograph, a boy, Vipul said "She is the daughter of my grandfather's only son." How is Vipul related to the girl in the photograph? (a) Father (b) Brother (c) Cousin (d) Data inadequate (e) None of these 23. A woman introduces a man as the son of the brother of her mother. How is the man related to the woman? (a) nephew (b) Son (c) Cousin (d) Uncle (e) Grandson 24. Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking? 1. His son (b) His cousin (c) His uncle (d) His nephew (e) None Directions 1. I am facing north. I turn left and walk 20 m. Then I turn left again and walk 10 m. Then I turn right and walk 10 m and then turning left walk 20 m. Then I turn left again and walk 60 m. In which direction am I from the starting point? (A) East (B) South–West (C) South–East (D) West 2. If you start running from a point towards north and after covering 4 km you turn to your left and run 5 km, and then again turn to your left and run 5 km and then turn to left again and run another 6 km and before finishing you take another left and run 1 km.  How many km are you from the place you started? (A)1 (B) 2 (C) 3 (D) 4 In which direction will you be running while finishing? (A) East (B) west (C) north (D) south After taking the second turn, in which direction will you be running? (A) east (B) west (C) north (D) south 3. There are 6 check posts A, B, C, D, E and F. Check post F is 25 km to the north of D which is 35 km to the north east of B. Check post A is 15km west of E and 35 km to the south west of C. B, A and E are in straight-line in same sequence. The check posts B and E are 70kms apart from each other. Which check post is the farthest to the south west of D? (A) A (B) B (C) C (D) cannot be determined If a jeep moves from E to F via A, B and D, how much distance it will have to covel;r (in km)? (A)65 km (B) 110 km (C) 70 km (D) None of these 4. Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P? a. North b. South c. South-West d. None of these 5. One evening before sunset Rekha and Hema were talking to each other face to face. If Hema’s shadow was exactly to the right of Hema, which direction was Rekha facing? a. North b. South c. East d. Data is inadequate 6. A man walks 5 km toward south and then turns to the right. After walking 3 km, he turns to the lest and walks 5 km. Now in which direction is he from the starting place? a. West b. South c. North-East d. South-West 7. A girl rode her bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. She found herself 1 km west of her starting point. How far did she ride northward initially? a. 1 km b. 2 km c. 3 km d. 5 km 8. Ahmedabad is to the southwest of Bangalore, Chennai is to the east of Ahmedabad and southeast of Bangalore and Delhi is to the north of Chennai in line with Ahmedabad-Bangalore. In which direction of Bangalore is Delhi located? a. South b. South-west c. East d. North-east 9. K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K? a. East b. West c. North-east d. South 10. Some boys are sitting in three rows all facing North such that A is in the middle row. P is just to the right of A but in the same row. Q is just behind of P while R is in the North of A. In which direction of R is Q? a. South b. South-west c. North-east d. South-east 11. X started to walk straight towards south. After walking 5 m he turned to the left and walked 3 m. After this he turned to the right and walked 5 m Now to which direction X is facing? a. North-east b. South c. North d. South-west 12. Hemant in order to go to university started from his house in the east and came to a crossing. The road to the left ends in a theatre, straight ahead is the hospital. In which direction is the university? a. North b. South c. East d. West 13. After walking 6 km, I turned to the right and then walked 2 km. After then I turned to the left and walked 10 km. In the end, I was moving towards the North. From which direction did I start my journey? a. North b. East c. South d. West 14. One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing? a. East b. South c. West d. Data is inadequate  Speed Time and Distance 1. Walking at three-fourths of his normal speed, a man is late by 1.5 hr. The usual time is: 2. If Abhi walks from his house at 4 km/hr, he reaches school 10 min early. If he walks at 3 km/hr, he reaches 10 min late. What is the distance from his house to school? 3. Train A leaves Mumbai central for Lucknow at 11 am, running at speed of 60 km/hr. Train B leaves Mumbai central for Lucknow by the same route at 2 pm on same day, running at the speed 72 km/hr. At what time will two train meet each other? 4. A thief steals motor car at 1 pm and drives at 45 km/hr. The thief is discovered at 2 pm & owner seats off by another car at 54km/hr. When will he overtake the thief? 5. A man is walking at a speed of 12 km/hr. After every km. he takes rest for 12 min. How much time will he take to cover distance of 36 km? 6. A motor car do a journey in 10 hrs, the 1 st half at 21km/hr & 2nd half at 24km/hr. Find distance. 7. The driver of a car sees a bus 40 m ahead of him. After 20 s, the bus is 60 m behind. If the speed of the car is 30 km/hr, what is the speed of the bus? 8. Abhishek on a platform notices that a train going in one direction takes 10 s to pass him, and a train of same length going in the opposite direction takes 15 s to pass him. What is the time taken by the two trains to pass one another if the length of the trains is 200 m each? 9. Two trains travel in opposite directions at 36 km/hr. and 45 km/hr. respectively. A man sitting in the slower train passes the faster train in 8 s. The length of the faster train is: 10. A man sees a train passing over a bridge 1 km long. The length of the train is half that of the bridge. If the train clears the bridge in 2 min, the speed of the train is: 11. A train 110 m long is travelling at a speed of 58 km/hr. What is the time in which it will pass a man walking in the same direction at 4 km/hr? 12. The ratio between speed of bus and train is 15:27. A car covers 720 km in 9 hours. The speed of bus is three fourth the speed of car. How much distance will the train cover in 7 hours? 13. The distance between point A and B is 70 km. A car starts from point A and another car starts from point B. If both cars move in the same direction, they meet after 7 hours, but if they move in opposite direction they meet after 1 hour. Find the speed of both the cars. 14. Train running at 25 km/hr takes 18 seconds to pass a platform. Next it takes 12 seconds to pass a man walking at 5 km/hr in the opposite direction. Find the length of the train. 15. A train crosses a platform in 60 seconds at a speed of 45 km/hr. How much time will it take to cross an electric pole, if the length of the platform is 100 metres? 16. A man's speed with the current is 15 km per hour and the speed of the current is 2.5 km per hour. what is man's speed against the current?  17. A boat goes 14 km upstream in 56 minutes. The speed of the stream is 2 km/hr. what is the speed of boat in still water? 18. A man takes twice as long to row up as to row down the river. If the rate of the river is 4 km/hr, find the rate of the man in still water. 19. Ramesh can go a certain distance downstream in 6 hours and return the same distance in 9 hours. If the stream flows at the rate of 3 km/hr, find the speed of Ramesh in still water. 20. Man can row 6 km/hr in still water. If the river is running at 2 km/hr, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place? 21. Boatman goes 2 km against the current of the stream in 1 hour and come back 1 km in 10 minutes opposite. How long will it take to go 5 km in stationary water? 22. In a stream running at 2 km/hr a motorboat goes 10 km upstream and back again to the starting point in 55 minutes what is the speed of the motor boat in still water. (1)17 km/Hr (2)22 km/Hr (3)18 km/Hr (4)32 km/Hr Data Interpretation The following pie-charts show the run scored by a batsman against different countries in one-day internationals (ODI) and Twenty (T20) world cup matches. Runs scored by the batsman in ODI and T20 are 2800 and 2000 respectively. 1. If the batsman played 14 innings against Sri Lanka in ODI and remained not out in 5 innings. Find his average runs scored against Sri Lanka. (a) 28 (b) 24 (c) 26 (d) Other than the given options (e) 22 2. Runs scored by the batsman against New Zealand in T20 matches are approximately what percent of the runs scored against Pakistan in ODI? (a) 64% (b) 66% (c) 62% (d) Other than the given options (e) 68% 3. In case of which of the following countries, the difference between the runs scored in ODI and T20 is the second lowest? (a) Sri Lanka (b) Pakistan (c) South Africa (d) Other than the given options (e) WI 4. The runs scored by the batsman against WI in T20 is approximately what percent of the runs scored against Australia in ODI?  (a) None of these (b) 71% (c) 75% (d) 73% (e) 69% 5. If the batsman had scored 280 runs against Pakistan in T20 matches, what would have been its percentage in the T20 match, if the total runs scored in T20 remains the same? (a) None of these (b) 12% (c) 16% (d) 14% (e) 10% The following pie-chart shows the distribution of the monthly family budget of a person and table shows the further distribution (in percent) of the above-mentioned items among the five family members i.e P (the person himself), W (his wife), Rahul (son), Rohit (son), and Preeti (his daughter). His monthly family budget is Rs. 1,20,000 6. What is the average expenses of P? (a) Rs. 5620 (b) Other than the given options (c) Rs. 5640 (d) Rs. 5460 (e) Rs. 5480 7. What is the approximate percentage increase in the amount Which Rahul enjoys for entertainment as compared to Preeti for the same? (a) 33% (b) 31% (c) Other than the given options (d) 37% (e) 35% 8. The average expenses of Rohit is approximately what percent of the average expenses of W (Wife)? (a) 76.4% (b) 81.5% (c) 79.5% (d) 83.5% (e) Other than the given options 9. Find the difference (in percentage of the budget) between the average expenses of Education and the average expenses on Entertainment of the couple? (a) 1.3% (b) 0.9% (c) 2% (d) Other than the given options (e) 2.5% 10. The total amount spent by Rahul on Travelling and Food is approximately what percent of the total amount spent by Preeti on Education and Food? (a) Other than the given options (b) 168% (c) 171% (d) 175% (d) 174% Following table shows the percentage population of six states below poverty line and the proportion of males and females.  11. If the total population of state S₁ is 4400, then what is the approximate number of females above the poverty line in state S₁? (a) 1478 (b) None (c) 1578 (d) 1484 (e) 1487 12. If the total population of state S₃ and s₄ together is 17000, then what is the total number of females below the poverty line in the above-mentioned states? (a) 1320 (b) 6820 (c) 4850 (d) Data inadequate (e) None 13. If the population of males below the poverty line in state S₁ is 18000 and that in state S₅ is 24000, then what is the ratio of the total population of state S₁ to that of state S₅? (a) 315:512 (b) 316:513 (c) None (d) 315:513 (e) 319:512 14. If the population of males above the poverty line in state S₂ is 4100 then what is the total population of that state? (a) None (b) 12500 (c) 13000 (d) 14000 (e) 12000 15. If in state S₆ the population of females above the poverty line in 4800 then what is the population of males below the poverty line in that state? (a) 2400 (b) 2000 (c) 2500 (d) None (e) 2800 Study the following information carefully and answer the questions given below. The given bar graph shows the quantity of vegetables (Potato and Tomato (in kg)) sold in five different shops.  1. The quantity of Tomato sold in F is the average quantity of Tomato sold in A, C and D together and the ratio of the Tomato to potato sold in F is 4:5. Find the quantity of potato sold in F? (a) 720 kg (b) 750 kg (c) 780 kg (d) 810 kg (e) 900 kg 2. The quantity of Potato sold in B and D together is what percent of the total quantity of vegetables sold in E? (a) 87.8% (b)89.5% (c) 85.6% (d) 83.9% (e) 81.7% 3. The quantity of Pumpkin sold in A is the difference between the quantity of tomato sold in A and B together and the quantity of Potato sold in C and D together. Find the total quantity of vegetables sold in A (Potato, Tomato and Pumpkin)? (a) 1048 kg (b) 1084 kg (c) 1096 kg (d) 1124 kg (e) None of these 4. The ratio of the total quantity of vegetables sold in B and F is 32:35. Find the difference between the number of vegetables sold in F and D? (a) 108 (b) 112 (c) 104 (d) 116 (e) 120 5. What is the difference between the quantity of Potato and Tomato in all the shops together? (a) 608 kg (b) 612 kg (c) 616 kg (d) 620 kg (e) 604 kg Study the following information carefully and answer the questions given below. The given pie chart shows the percentage distribution of the number of red cars sold in five different days in a week. 6. If the ratio of the number of black to white cars sold on Thursday and Wednesday is in the ratio of 3:2 and 8:9 respectively and the number of red cars sold on Thursday is 45 less than the number of black cars sold on the same day and the number of white cars sold on Wednesday is 20% more than the number of red cars sold on the same day. Find the difference between the total number of cars sold on Thursday and Wednesday? (Total number of cars = number of red cars + black cars + white cars) (a) 1040 (b) 1050 (c) 1080 (d) 1100 (e) 1120 7. The ratio of the number of red, black and white cars sold on Friday and Monday is 11:8:12 and 9:11:7 respectively. What is the ratio of the number of black and white cars together sold on Friday to that of Monday? (a) 2:1 (b) 2:2 (c) 3:2 (d) 2:3 (e) 1:1 8. The number of red cars sold on Tuesday is what percent of the number of red cars sold on Monday? (a) 85% (b) 90% (c) 95% (d) 80% (e) 75% 9. The number of red cars sold on Tuesday is 166 more than the number black cars sold on the same day and the number of black colour cars sold on Monday is 11(1/9) % more than the number of red cars sold on Monday. Find the total number of black cars sold on Tuesday and Monday together? (a) 920 (b) 940 (c) 960 (d) 980 (e) 900 10. Find the difference between the number of red cars sold on Wednesday and Thursday? (a) 240 (b) 250 (c) 260 (d) 270 (e) 280 Study the following information carefully and answer the questions given below. The given line graph shows the quantity of milk and water (in Liters) in six different vessels. 11. What is the average quantity of Milk in all the vessels together? (a) 113 Liters (b) 112 Liters (c) 111 Liters (d) 110 Liters (e) 109 Liters 12. What is the ratio of the quantity of milk and water together in C to D? (a) 51:64 (b) 50:63 (c) 55:61 (d) 100:121 (e) None of these 13. The quantity of milk and water in A is approximately what percent of the quantity of Water and Milk together in F? (a) 108% (b) 102% (c) 105% (d) 99% (e) 100% 14. If the average quantity of Water in E, B and G together is 80 and the ratio of the quantity of milk to water in G is 5:4, then find the quantity of milk in G? (a) 120 Liters (b)150 Liters (c) 100 Liters (d) 90 Liters (e) 110 Liters 15. If the ratio of the quantity of Milk, oil and honey in B is 5:7:11, then what is the difference between the quantity of honey and oil in B? (a) 80 Liters (b) 70 Liters (c) 60 Liters (d) 40 Liters (e) 50 Liters Read the following information carefully and answer the questions. The given table chart shows the percentage of the total number of students from five different institutes i.e. A, B, C, D and E in March and also given the ratio of the number of boys and girls in five different institutes. Note: The total number of girls in institute B is 160 more than the total number of girls in institute C. 16. If the total number of boys and girls in institute F is 28.56% and 20% more than that of institute A, then find the average number of students in institute F? (a) 375 (b) 325 (c) 365 (d) 345 (e) None of these 17. The total number of boys in institutes A, B and C together are how much more/less than the total number of girls in institutes C, D and E together? (a) 320 less (b) 340 less (c) 300 more (d) 360 more (e) None of these 18. If the total number of students in April from institute E is 22.22% more than that of March from institute E, in which 33.33% of the students are girls and then find 37.5% of the total number of boys from institute E in April? (a) 115 (b) 125 (c) 165 (d) 145 (e) None of these 19. The total number of girls in institutes A and B together is what percentage of the total number of boys in institutes A and D together? (a) 15% (b) 50% (c) 20% (d) 35% (e) None of these 20. In institute C, the total number of students and teachers is 408 out of which 62.5% are males and then find the difference between the total number of male and female teachers in institute C? (a) 22 (b) 20 (c) 26 (d) 24 (e) None of these Permutation and Combination 1. In how many ways can the letters of the word DIRECTOR be arranged such that vowels never come together? 2. 4 boys and 2 girls are to be seated in a row in such a way that, two girls seats always together. In how many different ways can they be seated? 3. In how many ways 5 boys and 4 girls can be seated in a row so that they are alternate? 4. How many ways 3-digit No. Are possible with the digit 1, 2, 3, 4, 5, 6? A. With repeat digits B. Without repeat digits 5. How many 5-digit numbers are possible with digit 1, 2, 3, 4, 5, 0? A. With Repeats B. Without Repeats 6. How many 4 digits Odd numbers are possible with the digit 0, 1, 2, 5, 7, 4? 7. How many 100 digits positive numbers are possible? 8. How many 5-digit numbers are possible which cannot be divided by 3 and having 9 as its first and 6 as its third digit? 9. The number of different 6-digit numbers that are divisible by 5 can be formed using the digits 1, 2, 7, 0, 5, 9? 10. From 5 men and 4 women. In how many ways can a committee of 4 is to be formed. Such that it contains: A. Exactly 1 Woman  B. No. Women C. All Women D. At most one woman E. At least one woman. F. Having same Sex G. 3 women 1 men. 11. Out of 4 officers and 5 Police a committee of 4 is to be formed. What is probability that it will contain: A. Exactly 1 Officer B. At least one officer C. No Officer D. Either officer or Police E. All Officer F. Exactly two officers 12. A bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contains balls of different Colour? 13. In how many ways a team of 5 members out of 9 can be formed such that Sachin is always included? (1) 126 (2) 70 (3) 1680 (4) 140 14. In how many ways a photograph of 5 members out of 9 can be taken such that Sachin is always included? (1) 120 (2) 3024 (3) 8400 (4) 15120 15. Find the value of 30 P2 a) 435 b) 870 c) 300 d) 600 16. How many words can be formed by using letters of the word ‘DELHI’? a) 50 b) 72 c) 85 d) 120 17. Find the number of ways the letters of the word ‘RUBBER can be arranged? a) 450 b) 362 c) 250 d) 180 18. Find in how many different ways, the letters of the word ‘LEADING’ can be arranged in such way that the vowels always come together? a) 548 b) 426 c) 720 d) 790 19. Find the value of 40 C2 a) 390 b) 780 c) 600 d) 600 20. Out of 5 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? a) 60 b) 1200 c) 5230 d) 7200 21. A bag contains 2 white marbles, 3 black marbles and 4 red marbles. Find in how many ways, 3 marbles can be drawn, so that at least one black marble is included in each draw? a) 64 b) 52 c) 58 d) 36 22. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done? a) 702 b) 624 c) 756 d) 812 23. How many 4-digit numbers can be formed with the help of 1,2,3,4 and 5? (repetition of the digits is allowed) a) 25 b) 625 c) 125 d) 40 24. How many 3-digit even numbers can be formed with the help of 0,2,3,4 and 7? (repetition is not allowed) a) 125 b) 60 c) 30 d) 44 25. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated? a) 24 b) 16 c) 8 d) 20 26. There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period? a) 3200 b) 1800 c) 3600 d) None 27. How any 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once? a) 720 b) 1420 c) 360 d) 1680 28. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours? a) 48 b) 12 c) 24 d) 62 29. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers? a) 120 b) 729 c) 125 d) 720 30. In how many ways can 5 man draw water from 5 taps if no tap can be used more than once? a) 720 b) 120 c) 60 D) None 31. There are 5 yellow, 4 green and 3 black balls in a bag. All the 12 balls are drawn one by one and arranged in a row. Find out the number of different arrangements possible. a) 5230 b) 21200 c) 23420 d) 27720 32. In how many ways can 7 boys be seated in a circular order? a) 120 b) 720 c) 5040 d) 60 33. How many triangles can be formed by joining the vertices of an octagon? a) 28 b) 120 c) 56 d) 112 34. Find the number of diagonals of a decagon? a) 12 b) 28 c) 35 d) 16 35. Find the number of triangles that can be formed using 14 points in a plane such that 4 points are collinear? a) 360 b) 120 c) 480 d) 240 36. What is the sum of all 4 digit numbers formed using the digits 2, 3,4 and 5 without repetition? a) 93024 b) 92314 c) 91242 d) 93324 Probability 1. A die is rolled, find the probability that an even number is obtained. (a) 1/4 (b) 1/6 (c) 1/2 (d) 1/3 (e) None of these 2. Two coins are tossed, find the probability that two heads are obtained. (a) 1/4 (b) 1/6 (c) 1/2 (d) 1/5 (e) None of these 3. A dice is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head. (a) 1/4 (b) 1/2 (c) 1/3 (d) 1/12 (e) None of these 4. A card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond. (a) 1/52 (b) 3/52 (c) 1/26 (d) 3/26 (e) None of these 5. Two cards are drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that they are both aces if the first card is not replaced? (a) 3/52 (b) 1/13 * 3/51 (c) 4/(52*52) (d) 4/52 * 3/52 (e) None 6. A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace or a diamond? (a) 17/52 (b) 1/52 (c) 4/13 (d) 1/13 7. A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace of a diamond? (a) 17/52 (b) 1/52 (c) 4/13 (d) 1/13 8. When two dice are rolled, what is the probability that the sum is either 7 or 11? a) 2/9 b) 1/9 c) 2/5 d) 1/4 9. A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue balls. What is the probability that it is red? (a) 2/5 (b) 2/13 (c) 5/7 (d) 5/2 (e) None of these 10. A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? (a)10/21 (b) 9/11 (c) 1/2 (d) 7/11 (e) None 11. Golu and Molu go for an interview for two vacancies. The probability for the selection of Golu is 1/3 whereas the probability for the selection of Molu is 1/5. What is the probability that none of them are selected? a) 3/5 b) 7/12 c) 8/15 d) 1/5 12. Golu and Molu go for an interview for two vacancies. The probability for the selection of Golu is 1/3 whereas the probability for the selection of Molu is 1/5. What is the probability that only one of them is selected? a) 3/5 b) 5/12 c) 7/15 d) 2/5 13. A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event? a) 35% b) 5% c) 45% d) 22.5% 14. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? a) 1/5 b) 1/20 c) 1/4 d) 9/20 15. Two dice are rolled together. What is the probability of getting two numbers whose product is even? a) 1/3 b) 3/4 c) 17/36 d) 11/25 16. A basket contains 15 apples and 10 oranges out of which 4 apples and 2 oranges are defective. If a person takes two fruits at random, what is the probability that either both are apples or both are good? a) 221/300 b) 312/401 c) 1/2 d) None 17. A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black? a) 18/145 b) 18/29 c) 36/135 d) 36/145 18. You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die? a) 1/2 b) 1/6 c) 1/8 d) 1/12 19. A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack? a) 4/13 b) 2/13 c) 6/13 d) 9/13 Coding-Decoding 1. If CRICKET is coded as DQJBLDU, what is the code for FOOTBALL? (A) GPPUCBMM (B) GNPSCBKM (C) GNPCSZMKB (D) GNPSCZMK 2. If NICE is coded as 15131221, what is the code for CHART? (A) 3811820 (B) 412103445 (C) 413203445 (D) 381019 3. If TIGER is coded as 69 and LION as 60, then what is the code for LEOPARD? (A) 65 (B) 81 (C) 79 (D) 73 4. If TELEPHONE is coded TEENLOEHP, then the code for TELECOM will be? (A) TMELOEC (B) TMEOLCE (C) TMELOCE (D) TMEOLEC 5. If the code for FRONT is 39347, for CHALK is 61867, then what is the code for REVERSE? (A) 9252983 (B) 9454904 (C) 9151981 (D) 9454984 6. If FINGER is coded as SGJRNL, what is the code for GROUND? (A) TLSNJE (B) TGNRSP (C) EPXSWM (D) EPNRWM 7. The code for ORANGE is 3 and the code for BLACK is 4. What is the code for PINK? (A) 1 (B) 2 (C) 3 (D) 4 8. In a certain code language, ‘dom pul ta’ means ‘bring hot food’, ‘pul tir sop’ means ‘food is good’ and `tak da sop’ means ‘good bright boy’. Which of the following does mean ‘is’ in that language? (A) dom (B) pul (C) to (D) tir (E) Cannot be determined 9. In a certain code language, ‘XZM’ means ‘He is bright.’, ‘TCZO’ means ‘Every lawn is green.’ and ‘OQCN’ means ‘Every wall was green’. Which of the following means ‘Every lawn is bright’ in that language? (A) ZTOM (B) CXZT (C) XOTZ (D) CZOT (E) cannot be determined In a certain code, ′Media Letter Reply Profile′ is written as ′18e% 14r$ 20y@ 15a@′ ′Simple Camp Views Much′ is written as ′21e$ 24s@ 5p# 15h#′ ′Improve Tool Worker Draft′ is written as ′6t@ 25r$ 11e% 22l#′ ′Output Hundred List Greater′ is written as ′10d% 17t$ 9r% 14t#′ 10. What is the code for ‘Post Adverts‘? A) 18t@ 3s% B) 18t@ 3s$ C) 18t# 3s% D) 16t# 3s$ E) Cannot be determined 11. What is the code for ‘Green Signal‘? A) 21l@ 9n@ B) 21l$ 8n# C) 22l# 9n@ D) 21l$ 9n@ E) Cannot be determined 12. What is the code for ‘Delete Image‘? A) 6e# 9e$ B) 6e$ 11e@ C) 6e@ 11e# D) 8e@ 11e$ E) Cannot be determined 13. What is the code for ‘Share Content‘? A) 7t% 21e@ B) 3t% 21e% C) 5t% 21e# D) 5t% 21e@ E) Cannot be determined 14. What is the code for ‘Current Quiz‘? A) 7t% 19z# B) 5t% 19z# C) 5t% 19z# D) 5t% 20z# E) Cannot be determined Number series, Letter series In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number. 1. 50 51 47 56 42 65 29 a) 51 b) 47 c) 56 d) 42 e) 65 2. 3 9 23 99 479 2881 20159 a) 9 b) 23 c) 99 d) 479 e) 2881 3. 7 4 6 9 20 52.5 160.5  a) 6 b) 4 c) 20 d) 9 e) 52.5 4. 1 3 6 11 20 39 70 a) 3 b) 39 c) 11 d) 20 e) 6 5. 2 13 27 113 561 3369 23581 a) 27 b) 13 c) 113 d) 561 e) 3369 6. 132 156 182 210 240 ? A. 272 B. 284 C. 296 D. 302 E. None of these 7. 186 210 258 282 ? 354 A. 318 B. 330 C. 326 D. 352 E. None of these 8. 11 53 93 129 159 ? A. 162 B. 174 C. 181 D. 206 E. None of these 9. 12 6 15 67.5 ? 3729.375 A. 583.75 B. 589.75 C. 498.75 D. 438.75 E. 555.75 10. 383 394 407 414 419 ? A. 429 B. 446 C. 452 D. 438 E. None of these 11. What is the next letter in the series B, C, E, G, ______ ? 1) J 2) I 3) K 4) M 12. _ stt _ tt _ tts _ A)tsts B)ttst C)sstt D)tsst 13. gfe _ ig _ eii _ fei _ gf_ ii A)eifgi B)figie C)ifgie D)ifige 14. D,H,L,P,T,_____? A) X B) Y C) U D) W 15. A,G,M,S,_____? A) X B) Y C) U D) W 16. H,J,M,O,R,T,W,_____? A) Y B) Z C) A D) B Directions: The questions are based upon the following series. T%U4)6 &KY^ A2$8LG|3 M@FP7!C~H9Q:E1B5 17. If all the vowels are skipped from the series then which of the following will be third to the left of the tenth element from right end? A. @ B. P C. F D. 7 E. None of these 18. How many numbers in the given series are immediately preceded by a consonant and immediately followed by a symbol? A. 3 B. 4 C. 2 D. None E. None of these 19. Four of the following five are alike in a certain way and thus form a group. Which of the following does not belong to the group? A. 4&U B. 6Y) C. 7~P D. 9EH E. 15E 20. What will be the resultant when second prime number from left end is multiplied with the first composite number from left end of the series? A. 8 B. 12 C. 10 D. 16 E. None of these 21. Which of the following meaningful word cannot be formed using the letters that come between second even number from left end and forth odd number from right end? A. Map B. Palm C. Glad D. Flag E. Play Seating arrangement, Data arrangement P, Q, R, S, T, U, V and W are eight friends. They are sitting around a round table and having coffee. P is sitting between U and V. Q is sitting between W and T. R is sitting to the third left of V. W is sitting third right of S. What is the position of V with respect to S? (A)Immediate left (B) Immediate right (C) Third to the left (D) Fourth to the right P, Q, R, S, T, V and W are seven friends who left for seven different places-Delhi, Chennai, Hyderabad, Bangalore, Kolkata, Chandigarh and Patna each one on a different day of a week. R left for Patna on Monday. On the last day of the week one person left for Bangalore. T left on the day after P, who left for Chandigarh two days prior to W’s departure. S left for Kolkata on Friday. Q did not leave for either Hyderabad or Bangalore and W left for Delhi. It is also given that the week starts on Sunday and end on Saturday. On Which day of the week did Q leave? (A) Sunday (B) Saturday (C) Wednesday (D)Can’t determine Who left for Bangalore? (A) T (B) P (C) V (D)Can’t determine On which day of the week did T leave? (A)Tuesday (B) Thursday (C) Sunday (D) Wednesday Which of the following combinations of person-place is not correct? (A)R ---Patna (B) P ---Chandigarh (C) T ---Hyderabad (D)All are correct Study the following information carefully and answer the question given below: A, B, C, D, E, F, G and H are seated in a straight line but not necessarily in the same order. Some of them are facing south while some of them are facing north. E faces south. Only three people sit to the left of E. only two people sit between E and B. F sits third to the right of H. H is an immediate neighbor of neither E nor B. H does not sit at any of the extreme end of the line. Both the immediate neighbors of D face north. D is not an immediate neighbor of H. only one person sits between D and A. A face the same direction as H. the immediate neighbors of B face opposite directions (i.e., if one neighbor faces north then the other faces south and vice versa). Persons sitting at extreme ends face opposite directions. C faces a direction opposite that of D. A is not an immediate neighbor of F. How many persons are seated between E and A? A. Four B. More than four C. One D. Three E. Two Which of the following pairs represents the persons seated at the two extreme ends of the line? (A) C, E (B) A, G (C) A, F (D) B, C (E) None of these What is the position of A with respect to E? (A) Second to the right (B) Second to the left (C) Third to the left (D) Third to the right (E) Fourth to the right How many persons are seated between F and G? (A) One (B) Two (C) Three (D) Four (E) None Who is the immediate right of F? (A) D (B) B (C) A (D) E (E) C Study the following information carefully and answer the question given below: Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row 1-A, B, C, D, E and F are seated and all of them are facing south. In row 2- P, Q, R, S, T and V are seated and all of them facing north. Therefore, in the given sitting arrangement each member seated in a row faces another member of the other row. V sits third to the right of S. S faces F and F does not sit at any of the extreme ends of the line. D sits third to the right of C. R faces C. The one facing E sits third to the right of P.B and P do not sit at the extreme end of the line. T is not an immediate neighbor of V and A is not an immediate neighbor of C. Who amongst the following faces D? A. T B. P C. Q D. R E. None of these Who amongst the following represents the people sitting at the extreme ends of the rows? A. R, F B. T, A C. D, R D. C, Q E. S, A Four of the following five are alike in a certain way and thus form a group. Which is the one that does not belong to that group? A. B-T B. A-Q C. C-S D. F-P E. D-R Four of the following five are alike in certain way and thus formed a group. Which is the one that does not belong to that group? A. D B. S C. V D. T E. A How many persons are seated between R and T? A. One B. Two C. Three D. Four E. None A, B, C, D, E, F and G are members of a sports club and have liking for different games, viz Carrom, Table Tennis, Badminton, Bridge, Hockey, Football and Lawn Tennis but not necessarily in the same order. Each one of them has a liking for different musical instruments, viz Sitar, Guitar, Harmonium, Flute, Tabla, Banjo and Santoor, not necessarily in the same order. B likes Carrom and Banjo. E likes to play Bridge but not Harmonium or Tabla. The one who plays Hockey plays Sitar. F plays Guitar but not Table Tennis or Lawn Tennis. A plays badminton and Flute. The one who plays Lawn Tennis does not play Tabla. C plays Harmonium and G plays Hockey. D plays which game? A. Table Tennis B. Lawn Tennis C. Football D. Cannot be determined E. None of these Who plays Santoor? A. D B. A C. E D. D or E E. None of these Which of the following combinations of game person-musical instrument is definitely correct? A. Badminton-B-Flute B. Table Tennis-E-Santoor C. Lawn Tennis-D Tabla D. Table Tennis-C-Tabla E. None of these Who plays Football? A. C B. D C. G D. F E. None of these Who plays Table Tennis? A. C B. F C. D D. Cannot be determined E. None of these Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1, Anika, Bianca, Catlyn, Dhruv, Esha and Feroj are sitting facing South. In row 2, Parul, Qadir, Rudra, Saumya, Tanuj and Vikram are sitting facing North. Therefore, in the given seating arrangement, each member sitting in a row faces another member of the other row. Three persons sit between Catlyn and Dhruv. Either Catlyn or Dhruv sits at an extreme end of the line. The one who faces Dhruv sits third to the left of Rudra. Saumya faces the one who sits third to the left of Anika and he cannot sit adjacent to Rudra. The immediate neighbour of Qadir faces the immediate neighbour of Anika. Only one person sits between Parul and Tanuj, who is facing the one sitting on the immediate right of Esha. Neither Esha nor Feroj faces Rudra. Vikram and Qadir cannot sit adjacent to each other. Who among the following faces Bianca? A. Parul B. Qadir C. Tanuj D. Rudra E. Saumya Who among the following sit at the extreme ends of the rows? A. Dhruv, Qadir B. Tanuj, Feroj C. Esha, Saumya D. Bianca, Tanuj E. Feroj, Qadir If Esha is related to Parul in the same way as Catlyn is related to Saumya, which of the following is Anika related to, following the same pattern? A. Vikram B. Rudra C. Qadir D. Tanuj E. Can’t be determined How many persons are sitting between Esha and Feroj? A. None B. One C. Two D. Tree E. Four Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group? A. Parul–Dhruv B. Qadir–Anika C. Qadir–Feroj D. Saumya–Bianca E. Tanuj– Anika Nine persons Anu, Bablu, Cheenu, Dona, Esha, Faria, Gaurav, Harish and Ishita are sitting in a row and all are facing north. It is known that Cheenu sits exactly in the middle and there is no person to the right of Ishita. Dona is fourth to the right of Faria. Gaurav and Harish are sitting next to each other. Esha is the neighbour of Dona but not of Cheenu. Harish doesn't sit at any extreme corner. Dona is not sitting adjacent to either Cheenu or Ishita. Anu is second to the right of Harish. Who is sitting to the immediate left of Cheenu? A. Faria B. Anu C. Harish D. Dona E. None of these Who is sitting between Bablu and Esha? A. Dona B. Faria C. Gaurav D. Cheenu E. None of these Four of the following five are alike in a certain way and thus forms a group. Which of the following does not belong to that group? A. Gaurav and Harish B. Cheenu and Bablu C. Faria and Gaurav D. Dona and Esha E. Esha and Ishita Who is sitting third to the right of Harish? A. Bablu B. Dona C. Faria D. Cheenu E. None of these Who is sitting at the left most seat of the row? A. Faria B. Bablu C. Gaurav D. Dona E. None of these There are eight persons - Mita, Niya, Om, Pari, Qiya, Rati, Shri and Tiya. All of them are sitting in a straight row and are facing in the South direction but not necessarily in the same order. There are only two persons between Rati and Pari. The number of persons between Qiya and Mita is same as the number of persons between Pari and Shri. Om is not a neighbor of Shri who is immediate left of Niya. Qiya is second to the left of Rati who is fourth from the right corner. Mita sits at any corner of the row. Tiya sits immediate right of Qiya. How many persons are seated to the left of Niya? A. One B. Three C. Four D. Six E. None of these Four of the following five are alike in some way and thus form a group. Which of the following does not belong to the group? A. Om B. Rati C. Shri D. Qiya E. Pari Who among the following is/are immediate neighbour(s) of Qiya? A. Tiya B. Om C. Both A and B D. Either A or B E. Shri Who among the following sits second to the left of the person who sits third from the right end? A. Mita B. Tiya C. Pari D. Niya E. None of these Who among the following sits third to the left of Rati? A. Om B. Pari C. Niya D. Mita E. None of these Study the following information carefully and answer the questions given below: (i) A, B, C, D, E, F, G and H are eight students, each having a different height. (ii) D is shorter than A but taller than G. (iii) E is taller than H but shorter than C. (iv) B is shorter than D but taller than F. (v) C is shorter than G. (v) G is not as tall as F. Which of the following is definitely false? (a) G is shorter than F (b) C is shorter than F (c) F is taller than C (d) B is taller than E (e) All are true If another student J, who is taller than E but shorter than G, is added to the group, which of the following will be definitely true? (a) C and J are of the same height (b) J is shorter than D (c) J is shorter than H (d) J is taller than A (e) None of these Which of the following will definitely be the third from top when the eight students are arranged in descending order of height? (a) B (b) F (c) G (d) B or G (e) Cannot be determined How many of them are definitely shorter than F? (a) Three (b) Four (c) Five (d) data inadequate (e) None of these Which of the following is redundant to answer all the above questions? (a) (ii) only (b) (ii) and (iii) only (c) (iii) and (iv) only (d) (ii) and (v) only (e) All are necessary to answer the above questions Study the following information to answer the given questions: (i) Six plays are to be organized from Monday to Sunday – one play each day with one day when there is no play. ‘No play’ day is not Monday or Sunday. (ii) The plays are held in sets of 3 plays each in such a way that 3 plays are held without any break, i.e. 3 plays are held in such a way that there is no ‘Noplay’ day between them but immediately before this set or immediately after this set it is ‘No play’ day. (iii) Play Z was held on 26th and play X was held on 31 st of the same month. (iv) Play B was not held immediately after play A (but was held after A, not necessarily immediately) and play M was held immediately before Q. (v) All the six plays were held in the same month. Which play was organized on Monday? (a) Z (b) M (c) Q (d) Cannot be determined (e) None of these Which day was play Z organized? (a) Tuesday (b) Monday (c) Wednesday (d) Cannot be determined (e) None of these Which date was a ‘No play’ day? (a) 26th (b) 28th (c) 29th (d) Cannot be determined (e) None of these Which of the following is true? (a) Play B is held immediately before play M. (b) Play Z is held after play B (c) there was a gap after 2 plays and then 4 plays were organized (d) first play was organized on the 25 th (e) Play B was held on Friday Which day was play Q organized? (a) Friday (b) Wednesday (c) Saturday (d) Cannot be determined (e) None Who amongst the following sit at extreme ends of the rows? (a) B, E (b) S, T (c) P, R (d) B, F (e) None of these Who amongst the following faces A? (a) R (b) T (c) P (d) Q (e) S How many persons are seated between T and S? (a) one (b) Two (c) Three (d) Four (e) None P is related to V in the same way as C is related to F. which of the following is E related to, following the same pattern? (a) B (b) D (c) C (d) A (e) None of these Which of the following is true regarding F? (a) F sits second to right of C (b) F is not an immediate neighbour of A. (c) F sits third to left of D (d) F sits at one of the extreme ends of the line (e) F faces V. Study the following information and answer the questions given below: M, N, P, R, T, W, F and H are sitting around a circle facing the centre. P is third to the left of M and second to the right of T. N is second to the right of P. R is second to the right of W, who is second to the right of M. F is not an immediate neighbour of P. Who is to the immediate right of P?  (a) H (b) F (c) R (d) Data inadequate (e) None of these Who is to the immediate right of H? (a) R (b) F (c) M (d) Data inadequate (e) None of these Who is to the immediate left of R? (a) P (b) H (c) W (d) T (e) Data inadequate Who is third to the right of H? (a) T (b) W (c) R (d) F (e) Data inadequate Who is second to the right of F? (a) M (b) R (c) T (d) Data inadequate (e) None of these Visual Reasoning In each of the following questions five figures are given. Four of them are similar in some way but one figure is not like the other four. Point out which figure does not belong to the group. In the following questions there are two sets of figures - the problem figures and the answer figures. The problem figures are presented in two units. The first unit contains two figures and the second unit one figure and a question mark. You are to find out which one of the answer figures marked (a) to (e) should be in place of the question mark. In each of the following questions five figures are given. Four of them are similar in some way but one figure is not like the other four. Point out which figure does not belong to the group. In the following questions there are two sets of figures - the problem figures and the answer figures. The problem figures are presented in two units. The first unit contains two figures and the second unit one figure and a question mark. You are to find out which one of the answer figures marked (a) to (e) should be in place of the question mark.  Mensuration Triangle: Area = 1 /2 base x height Area = [ s(s - a)(s - b)(s - c) ] where s = semi perimeter = (a + b + c)/2 Area of an equilateral triangle = 3 /4 side2 Area of a right triangle = 1 /2 product of perpendicular sides Rectangle: Area = length x breadth Square: Area = side2 = a2 Diagonal = a2 Area = 1 /2 product of diagonals Parallelogram: Area = base x height Rhombus: Area = 1 /2 product of diagonals Trapezium: Area = 1 /2 (sum of parallel sides) x distance between parallel sides Circle: Area = r2 where r = radius of the circle; Circumference = 2r Cuboid: Volume = l x b x h where l = length, b = breadth, h = height Area of 4 walls of a cuboid = 2(l + b) x h Total surface area of a cuboid = 2(lb + bh + lh) Body Diagonals of a cuboid = (l2 + b2 + h2) Cube: Volume = a3 where a = edge of the cube Total surface area of the cube = 6a 2, Body Diagonal of a cube = a3 Cylinder: Volume = r2 h where r = radius of base, h = height  Curved surface = 2rh Total surface = 2 r(r + h) Cone: Volume = 1 /3 r 2 h where r = radius of circular base, h = height Curved surface area =  r l where l = slant height = (r2 + h2) Total surface area =  r(r + l) Sphere: Volume = 4 /3 r 3 where r = radius of the sphere Surface = 4r2 Volume of a spherical shell = 4 /3 (R3 - r 3 ) Volume of a hemisphere is 2 /3 r3 Total surface area is 3r2 1. The area of a playground is 5600 sq. metres. What will be the cost of covering it with gravel 1 cm. deep if the cost of gravel is Rs. 2.80 per cubic metre? 2. There is a rectangular plot of area 43560 sq. ft. The length and breadth of the rectangle are in the ratio 5 : 2. A gravel path 5 ft. wide runs outside the plot close to the four sides of the plot. If the cost of gravelling is Rs. 590 at 25 paise/cubic feet, what is the depth to which the gravelling has been done? 3. Verbal Reasoning Each of the following questions consists of a statement followed by two arguments I and II. Give answer (a) if only argument I is strong; (b) if only argument II is strong; (c) if either I or II is strong; (d) if neither I nor II is strong and (e) if both I and II are strong. 1. Statement: Should number of holidays of government employees be reduced? Arguments: I. Yes. Our government employees are having maximum number of holidays among the other countries of the world. II. Yes. It will lead to increased productivity of government offices. (b) 2. Statement: Should foreign films be banned in India? Arguments: I. Yes. They depict an alien culture which adversely affects our values. II. No. Foreign films are of a high artistic standard. (d) 3. Statement: Should there be reservation of seats and posts on communal basis?  Arguments: I. Yes. It will check most of the inter-communal biases. II. No. Ours is a secular state. (b) 4. Statement: Should octroi be abolished? Arguments: I. Yes. It will eliminate an important source of corruption. II. No. It will adversely affect government revenues. (e) 5. Statement: Should taxes on colour television be further increased? Arguments: I. Yes. Colour television is a luxury item and only rich people buy them. II. No. Televisions are bought by the poor too. (d) 6. Statement: Should English be the medium of instruction for higher education in India? Arguments: I. Yes. Even in advanced countries like England and U.S. A., the medium of instruction is English for higher education. II. Yes. English is a much widely spoken language in the world. (b) Directions: In each question below is given a statement followed by two assumptions numbered I and II. Consider the statement and decide which of the given assumptions is implicit. Give answer (a) if only assumption I is implicit; (b) if only assumption II is implicit; (c) if either I or II is implicit; (d) if neither I nor II is implicit and (e) if both I and II are implicit. 7. Statement: It is desirable to put the child in school at the age of 5 or so. Assumptions: I. At that age the child reaches appropriate level of development and is ready to learn. II. The schools do not admit children after six years of age. (a) 8. Statement: "You must learn to refer to dictionary if you want to become a good writer." — A advises B. Assumptions: I. Only writers refer to the dictionary. II. All writer s good or bad refer to the dictionary. (d) 9. Statement: The chairman and secretary of the housing society have requested society member s to use water economically to help society to save on water tax. Assumptions: I. Majority of members of society are likely to follow the request. II. It is desirable to reduce expenditure wherever possible. (b) 10. Statement: "If you want to give any advertisement, give it in the newspaper X.” — A tell s B. Assumptions: I. B wants to publicise his products. II. Newspaper X has a wide circulation. (b)  11. Statement: We must settle all the payment due to our suppliers within three working days. Assumptions: I. We will always have necessary funds in our account to settle the bills. II. We are capable of verifying and clearing the bills in less than three working days. (e) 12. Statement: A good book, even if costly, is sold. Assumptions: I. Some books are better than others. II. Most of the books are costly. (a) In each question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true9 then decide which of the two suggested courses of action logically follows for pursuing. Give answer (a) if only I follows; (b) if only II follows; (c) if either I or II follows; (d) if neither I nor II follows and (e) if both I and II follow. 13. Statement: Many cases of cholera were reported from a nearby village. Courses of action: I. The question should be raised in the Legislative Assembly. II. A team of doctors should be rushed to the village. (b) 14. Statement: People residing in some tribal areas are far from education. Courses of action: I. Schools for children and adults, should be opened there. II. Social workers should be entrusted with the job of educating them. (a) 15. Statement: India today is midstream fin its demographic transaction. In the last 60 years there has been an almost continuous decline in mortality; while fertility has declined over the last 20 years. The consequence is that there has been a rapid growth in population over the last 50 years. Course of action: I. India should immediately revitalise its family planning programme. II. The Government should immediately launch a massive education programme through mass media highlighting the implication of population growth at the present rate. (e) In each of the following questions, read the two statements and the four conclusions. Choose the correct answer option. 16. Statement: 1. Some newspapers are radios. 2. Some radios are televisions. 3. No television is magazine. Conclusion: 1. No newspaper is magazine. 2. No radio is magazine. 3. Some radios are not magazines. 4. Some newspapers are televisions.  a. Only 1 or 2 follows b. Only 3 follows c. Only 4 follows d. None follows In each question below are given three statements followed by 2 conclusions numbered I and II. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. 1. If conclusion I follows. 2. If conclusion II follows. 3. If either conclusion I or II follows. 4. If neither conclusion I nor II follows. 5. If both conclusions I and II follows. 17. Statements: 1. All chairs are handles. 2. Some handles are pots 3. No pot is a mat Conclusions: I. Only pots are handles. II. All mats being chairs is a possibility. a) 1 b) 2 c) 3 d) 4 e) 5 18. Statements: 1. No pen is a clock. 2. All clocks are tyres. 3. A few tyres are buses Conclusions: I. All buses being clocks is not a possibility. II. No bus is a pen. a) 1 b) 2 c) 3 d) 4 e) 5 19. Statements: 1. All blades are sharp. 2. Some blades are blunt. 3. No blunt is a sword. Conclusions: I. All sword being blades is a possibility. II. At least some blades may be swords. a) 1 b) 2 c) 3 d) 4 e) 5 20. Statements: 1. All flowers are white. 2. Some whites are beautiful. Conclusions: I. All flowers being beautiful is a possibility. II. At least some white may not be flowers. a) 1 b) 2 c) 3 d) 4 e) 5