Aptitude Essential Question Bank (All Possible Questions).pdf
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CO 1 1.The next number of the sequence 1, 6, 27, 108, ____ is A) 405 B) 402 C) 256 D) 162 ANSWER:A 2.The next number of the sequence 4, 10, 33, 136, _____ is A) 385 B) 685 C) 786 D) 812 ANSWER:B 3.The next number of the sequence 0, 3, 8, 15, 24, 35, ____ is A) 46 B) 47 C) 48 D) 50 ANSWER:C 4.Give...
CO 1 1.The next number of the sequence 1, 6, 27, 108, ____ is A) 405 B) 402 C) 256 D) 162 ANSWER:A 2.The next number of the sequence 4, 10, 33, 136, _____ is A) 385 B) 685 C) 786 D) 812 ANSWER:B 3.The next number of the sequence 0, 3, 8, 15, 24, 35, ____ is A) 46 B) 47 C) 48 D) 50 ANSWER:C 4.Given a Series 2, 5,12.5, ?, 78.125, 195.3125.Find what number would come in place of the question mark(?) A) 31.25 B) 40.25 C) 32.50 D) 21.00 ANSWER:C 5.Given a Series -10, -8, 6, 40, 102, ?.Find what number would come in place of the question mark(?). A) 105 B) 117 C) 216 D) 129 ANSWER:B 6.Find the number which will come in the place of the question mark in the given series 14, 25, 47, 91, 179, ?. A) 255 B) 321 C) 355 D) 211 ANSWER:C 7.Fill the blank in the middle of the series: SCD, TEF, UGH, ____, WKL A) CMN B) UJI C) VJI D) IJT ANSWER:C 8.FAG, GAF, HAI, IAH, ____. A) JAK B) HAL C) HAK D) JAI ANSWER:A 9.Find the next term in the series: A, D, G, J, ? A) K B) L C) M D) N ANSWER:C 10.Find the next two terms of the given series: Z, S, W, O, T, K, Q, G, ?, ? A) N, C B) N, D C) O, C D) O, D ANSWER:A 11.CMM, EOO, GQQ, _____, KUU A) GSS B) ITT C) GRR D) ISS ANSWER:D 12. _xx _ yx _ yy _ xy _ xy A) xxxyy B) yxyxy C) yyxxy D) yyyxx ANSWER:C 13.Find the number which is wrong in the given series 2,3,12,37,86,166,288. A) 2 B) 12 C) 37 D) 166 ANSWER:D 14.Find the number which would come in place of question mark 2, 4, 8, 10, 14, ?. A) 16 B) 18 C) 24 D) 20 ANSWER:A 15.Find the number which would come in place of question mark 6, 11,18,27, ?. A) 33 B) 40 C) 38 D) 81 ANSWER:C 16.Find the number which would come in place of question mark 1, 5, 19, 81, ? A) 405 B) 411 C) 400 D) 395 ANSWER:B 17.SCD, TEF, UGH, ____, WKL A) CMN B) UJI C) VIJ D) IJT ANSWER:C 18. FAG, GAF, HAI, IAH, ____ A) JAK B) HAL C) HAK D) JAI ANSWER:A 19.BCB, DED, FGF, HIH, ___ A) JKJ B) HJH C) IJI D) JHJ ANSWER:A 20.Find the missing term in the given series: AB, DEF, HIJK, ?, STUVWX A) LMNO B) LMNOP C) MNOPQ D) QRSTU ANSWER:C 21. ZA5, Y4B, XC6, W3D, _____ A) E7V B) V2E C) VE5 D) VE7 ANSWER:D 22. P5QR, P4QS, P3QT, _____, P1QV A) PQW B) PQV2 C) P2QU D)PQ3U ANSWER:C 23. C-3, E-5, G-7, I-9, ?, ? A) M-18, K-14 B) K-11, M-13 C) X-24, M-21 D) O-15, X-24 ANSWER:B 24. P3C, R5F, T8I, V12L, ? A) Y17O B) X16M C) X17O D) X16O ANSWER:C 25. 9Z-20, 11A-18, 13Y-16, 15B-14, ? A) 17X-12 B) 17X-13 C) 13X-17 D) 13X-12 ANSWER:A 26. DEF, DEF2, DE2F2, _____, D2E2F3 A) DEF3 B) D3EF3 C) D2E3F D) D2E2F2 ANSWER:D 27. ZA5, Y4B, XC6, W3D, _____ A) E7V B) V2E C) VE5 D) VE7 ANSWER:D 28. P5QR, P4QS, P3QT, _____, P1QV A) PQW B) PQV2 C) P2QU D) PQ3U ANSWER:C 29. B2CD, _____, BCD4, B5CD, BC6D A) B2C2D B) BC3D C) B2C3D D) BCD7 ANSWER:B 30. If in a certain language MYSTIFY is coded as NZTUJGZ, how is NEMESIS coded in that language? A) M D L H R D R B) O F N F T J T C) O D N H T D R D) P G O K U G U ANSWER:B 31. If D is coded as 4 and C O V E R is coded as 63, then BASIS will be coded as? A) 49 B) 50 C) 54 D) 55 ANSWER:B 32. In a certain code, 2 is coded as P, 3 as N, 9 as Q, 5 as R, 4 as A and 6 as B. How is 599423 coded in that code? A) E I I D B C B) R Q P A N B C) E I M D B C D) R Q Q A P N ANSWER:D 33. In a certain code, 3456 is coded as ROPE, 15526 is coded as APPLE, then how is 54613 coded? A) R P P E O B) R O P E A C) P O E A R D) P A R E O ANSWER:C 34. What comes next in the series: A1, B2, C3, D4, ____? A) E5 B) F6 C) G7 D) H8 ANSWER:A 35. In a certain code, 15789 is written as X T Z A L and 2346 is written as N P S U. How is 23549 written in that code? A) N P T U L B) P N T S L C) N P T S L D) N B T S L ANSWER:C 36. In a certain ode language , “ POWER” is written as “18” and “BELL” is written as “19”, how will be “SKILL” written in that code language? A) 21 B) 16 C) 12 D) 10 ANSWER:C 37. In a certain code language COMPUTER is written as RFUVQNPC. How will MEDICINE be written in that code language? A) MFEDJJOE B) EOJDEJFM C) MFEJDJOE D) EOJDJEFM ANSWER:D 38. In a certain code language, '134' means 'good and tasty'; '478' means 'see good pictures' and '729' means 'pictures are faint'. Which of the following digits stands for 'see'? A) 9 B) 2 C) 1 D) 8 ANSWER:D 39. If Z = 52 and ACT = 48, then BAT will be equal to A) 39 B) 41 C) 44 D) 46 ANSWER:D 40. What comes next in the series: A1B, C2D, E3F, G4H, …? A) H4I B) I5J C) J6K D) K7L ANSWER:B 41. What comes next in the series: Z1A, Y2B, X3C, W4D, …? A) U6F B) V5E C) W4D D) X3C ANSWER:B 42. For the given number series, find what will come in place of the question mark (?) 210 50 ? 1250 6250 A) 125 B) 450 C) 100 D) 250 ANSWER:D 43. In the following series, find which of the given number is wrong and does not follow the pattern: 633 624 598 534 409 193 A) 193 B) 409 C) 624 D) 534 ANSWER:C CO 2 1. The square root of 3249 A) 53 B) 63 C) 57 D) 59 ANSWER:C 2. The square root of 3969 A) 53 B) 63 C) 57 D) 59 ANSWER:B 3. The square root of 11449 A) 107 B) 97 C) 117 D) 59 ANSWER:A 4. The square root of 16641 A) 119 B) 129 C) 99 D) 109 ANSWER:B 5. The square root of 18225 A) 125 B) 135 C) 145 D) 115 ANSWER:B 6. The square root of 25281 A) 159 B) 169 C) 163 D) 153 ANSWER:A 7. The square root of 36864 A) 172 B) 162 C) 182 D) 192 ANSWER:D 8. The square root of 31329 A) 177 B) 163 C) 173 D) 167 ANSWER:A 9. The square root of 32761 A) 181 B) 189 C) 191 D) 199 ANSWER:A 10. The square root of 23716 A) 154 B) 164 C) 144 D) 134 ANSWER:A 11. The cube root of 205379 A) 53 B) 57 C) 59 D) 61 ANSWER:C 12. The cube root of 148877 A) 53 B) 63 C) 57 D) 61 ANSWER:A 13. The cube root of 658503 A) 87 B) 77 C) 67 D) 83 ANSWER:A 14. The cube root of 941192 A) 96 B) 92 C) 88 D) 98 ANSWER:D 15. The cube root of 79507 A) 53 B) 43 C) 63 D) 33 ANSWER:B 16. The cube root of 681472 A) 78 B) 82 C) 88 D) 98 ANSWER:C 17. The cube root of 421875 A) 65 B) 55 C) 85 D) 75 ANSWER:D 18. The cube root of 753571 A) 81 B) 91 C) 71 D) 93 ANSWER:B 19. The cube root of 512000 A) 80 B) 60 C) 70 D) 90 ANSWER:A 20. The cube root of 59319 A) 39 B) 49 C) 59 D) 69 ANSWER:A 21. What is the unit digit of the number 1955^17? A) 5 B) 2 C) 7 D) 8 ANSWER:A 22. Which of the following numbers is divisible by 9? A) 109 B) 237 C) 405 D) 551 ANSWER:C 23. What is the unit digit of the product 7 * 8 * 9 * 6 * 5 * 4 * 3 * 2 * 1? A) 0 B) 1 C) 5 D) 9 ANSWER:A 24. Find the unit digit of the square of (49)^2. A) 1 B) 4 C) 6 D) 9 ANSWER:A 25. Find the unit digit of 2023^19. A) 1 B) 3 C) 7 D) 9 ANSWER:C 26. What is the unit digit of 20256^15? A) 4 B) 6 C) 2 D) 8 ANSWER:B 27. What is the unit digit of 2024^12? A) 2 B) 4 C) 6 D) 8 ANSWER:C 28. What is the last digit of the number 1957^11? A) 1 B) 3 C) 7 D) 9 ANSWER:B 29. Find the unit digit of 5555^10 + 6666^12 + 7777^13. A) 2 B) 4 C) 6 D) 8 ANSWER:D 30. Find the unit digit of 222^15 + 333^16 + 4444^17. A) 1 B) 5 C) 3 D) 9 ANSWER:C 31. Find the HCF of 72,288 and 1080 A) 36 B) 72 C) 144 D) 288 ANSWER:B 32. The product of two numbers is 2268. If their HCF is 9,what is their LCM? A) 240 B) 280 C) 124 D) 252 ANSWER:D 33. Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: A) 40 B) 80 C) 120 D) 200 ANSWER:A 34. HCF of two numbers is 12 and their sum is 288. How many such pairs of numbers is possible? A) 3 B) 2 C) 4 D) 1 ANSWER:A 35. The number of number pairs lying between 40 and 100 with their HCF as 15 is A) 3 B) 2 C) 4 D) 1 ANSWER:C 36. What is the minimum number of identical square tiles to required fit in a rectangular floor of dimension 720*540? A) 13 B) 12 C) 14 D) 11 ANSWER:B 37. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? A) 13 B) 16 C) 14 D) 15 ANSWER:B 38. In a meet, persons from five different places have assembled in Bangalore High School. From the five places the persons come to represent are 42,60,210,90 and 84. What is the minimum number of rooms that would be required to accommodate so that each room has the same number of occupants and occupants are all from the same places? A) 44 B) 62 C) 81 D) 96 ANSWER:C 39. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. A) 13 B) 2 C) 4 D) 1 ANSWER:C 40. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: A) 1325 B) 840 C) 1683 D) 1563 ANSWER:C 41. What is the least number, which when divided by 7, 8 and 11 always gives 6 as the remainder? A) 613 B) 662 C) 624 D) 622 ANSWER:D 42. What is the least number, which when divided by 7, 8 and 11 gives 6 , 7 and 10 as the remainders respectively? A) 615 B) 662 C) 612 D) 622 ANSWER:A 43. 5 farmers have 7,9,11,13 & 14 apple trees ,respectively in their orchards.So far each of them discovered that every tree in their orchard bore same number of apples.Further if the third farmer gives one apple to the first ,and fifth gives three to each of the second and the fourth , they would all have exactly the same number of apples.What were the yields per tree in the orchards of the third and fourth farmers ? A) 17 & 9 B) 9 & 11 C) 9 & 9 D) 11 & 9 ANSWER:D 44. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: A) 40 B) 80 C) 120 D) 200 ANSWER:A 45. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to: A) 55/601 B) 601/55 C) 11/120 D) 120/11 ANSWER:C 46. The number of positive divisors of 100 A) 100 B) 10 C) 9 D) 8 ANSWER:C 47. The number of positive divisors of 512 A) 100 B) 10 C) 9 D) 8 ANSWER:B 48. The number of positive divisors of 1000 A) 16 B) 10 C) 9 D) 8 ANSWER:A 49. The number of positive divisors of 120 A) 16 B) 10 C) 9 D) 8 ANSWER:A 50. The number of positive divisors of 99 A) 19 B) 6 C) 8 D) 7 ANSWER:B CO 3 1. If a : b = 7 : 9 and b : c=15 : 7, then what is a : c? A) 5 : 3 B) 3 : 5 C) 7 : 21 D) 7 : 15 ANSWER:A 2. If p : q = r : s = t : u = 2 : 3,then (mp + nr + ot) : (mq + ns +ou) is equal to : A) 1 : 3 B) 1 : 2 C) 2 : 3 D) 3 : 2 ANSWER:C 3. The fourth proportional to 0.12,0.21, 8 is : A) 8.9 B) 56 C) 14 D) 17 ANSWER:C 4. If m : n = 3 : 2, then (4m + 5n):(4m – 5n) is equal to : A) 4 : 9 B) 9 : 4 C) 11 : 1 D) 9 : 1 ANSWER:C 5. If A : B = 3 : 4, B : C = 5 : 7 andC : D = 8 : 9 then A : D is equal to A) 3 : 7 B) 7 : 3 C) 21 : 10 D) 10 : 21 ANSWER:D 6. 94 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is : A) 30 B) 36 C) 40 D) 28 ANSWER:A 7. If a : b = 5 : 7 and c : d = 2a : 3b, then ac : bd is : A) 20 : 38 B) 50 : 147 C) 10 : 21 D) 50 : 151 ANSWER:B 8. If a : (b+c) = 1 : 3 and c : (a+ b) = 5:7, then b : (a+c) is equal to A) 1 : 2 B) 2 : 3 C) 1 : 3 D) 2 : 1 ANSWER:A 9. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to A) 1 : 3 B) 2 : 3 C) 3 : 2 D) 1 : 2 ANSWER:B 10. If a : b : c = 7 : 3 : 5, then (a + b + c) : (2a + b – c) is equal to A) 1 : 2 B) 2 : 3 C) 3 : 4 D) 5 : 4 ANSWER:D 11. If x : y = 3 : 4, then the value of (4x – y) : (2x + 3y) is A) 4 : 9 B) 8 : 9 C) 4 : 3 D) 8 : 3 ANSWER:A 12. If 177 is divided into 3 parts in the ratio 1/2:2/3:4/5 then the second part is A) 75 B) 45 C) 72 D) 60 ANSWER:D 13. A and B together have Rs. 6300. If 5/19 th of A’s amount is equal to 2/5 th of B’s amount. The amount of ‘B’ is A) Rs. 2500 B) Rs. 3800 C) Rs. 2300 D) Rs. 4000 ANSWER:A 14. The reciprocals of the squares of the numbers 1 1/2 and 1 1/3 are in the ratio A) 64 : 81 B) 8 : 9 C) 81 : 64 D) 9 : 85 ANSWER:A 15. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is A) 12 B) 24 C) 18 D) 20 ANSWER:A 16. A milkman makes 20% profit by selling milk mixed with water at 9 per litre. If the cost price of 1 litre pure milk is 10, then the ratio of milk and water in the mixture is A) 3 : 1 B) 4 : 1 C) 3 : 2 D) 4 : 3 ANSWER:A 17. The ratio of the number of boys and girls in a school is 8 : 12. If 50% of boys and 25% of girls are getting scholarships for their studies, what is the percentage of school students who are not getting any scholarships ? A) 65 B) 66 C) 67 D) 68 ANSWER:A 18. In an ornament the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is : A) 60 B) 40 C) 30 D) 20 ANSWER:A 19. The ratio of ages of two students is 3 : 2. One is older to the other by 5 years. What is the age of the younger student ? A) 2 years B) 10 years C) 2 1/2 years D) 15 years ANSWER:B 20. The ratio of present age of two brothers is 1 : 2 and 5 years back the ratio was 1 : 3. What will be the ratio of their age after 5 years ? A) 1 : 4 B) 2 : 3 C) 3 : 5 D) 5 : 6 ANSWER:C 21. The sum of the age of a father and his son is 100 years now. 5 years ago their age were in the ratio of 2 : 1. The ratio of the age of father and son after 10 years will be A) 5 : 3 B) 4 : 3 C) 10 : 7 D) 3 : 5 ANSWER:A 22. Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is A) 48 years B) 26 years C) 44 years D) 28 years ANSWER:A 23. At present, the ratio of the age of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will get changed to 9 : 8. Maya’s present age is A) 21 years B) 24 years C) 30 years D) 40 years ANSWER:C 24. The ratio of the age of Ram and Rahim 10 years ago was 1 : 3. The ratio of their age five years hence will be 2 : 3. Then the ratio of their present age is A) 1 : 2 B) 3 : 5 C) 3 : 4 D) 2 : 5 ANSWER:B 25. The ratio of the age of a father to that of his son is 5: 2. If the product of their ages in years is 1000, then the father's age (in years) after 10 years will be : A) 50 B) 60 C) 80 D) 100 ANSWER:B 26. The ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be A) 2 : 3 B) 1 : 2 C) 4 : 3 D) 3 : 4 ANSWER:D 27. Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages 3:5? A) 10 years B) 20 years C) 37 years D) 5 years ANSWER:A 28. The ratio of present age of two brothers is 1 : 2 and 5 years back the ratio was 1 : 3. What will be the ratio of their age after 5 years ? A) 1 : 4 B) 2 : 3 C) 3 : 5 D) 5 : 6 ANSWER:C 29. Four years ago, the ratio of the age of A and B was 2 : 3 and after four years it will become 5 : 7. Find their present age. A) 36 years and 40 years B) 32 years and 48 years C) 40 years and 56 years D) 36 years and 52 years ANSWER:D 30. The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of 50 is 4 : 1. The total of the ages (in years) of the boys in the class is A) 2000 B) 2500 C) 800 D) 400 ANSWER:C 31. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was A) 3 : 8 B) 2 : 5 C) 1 : 2 D) 1 : 5 ANSWER:D 32. The ratio of the ages of A and B at present is 3:1. Four years earlier the ratio was 4:1. The present age of A is A) 48 years B) 40 years C) 36 years D) 32 years ANSWER:C 33. Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A ? A) 60 years B) 70 years C) 50 years D) 40 years ANSWER:C 34. The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is A) 180 B) 140 C) 150 D) 160 ANSWER:B 35. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is : A) 184 B) 194 C) 69 D) 59 ANSWER:C 36. Four numbers are in the ratio 1 : 2 : 3 : 4. Their sum is 16. The sum of the first and fourth number is equal to : A) 5 B) 8 C) 10 D) 80 ANSWER:B 37. The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is : A) 21 : 19 B) 22 : 9 C) 11 : 9 D) 11 : 18 ANSWER:C 38. The product of two positive integers is 1575 and their ratio is 9 : 7. The smaller integer is A) 25 B) 35 C) 45 D) 70 ANSWER:B 39. Three numbers are in the ratio of 3 : 2 : 5 and the sum of their squares is 1862. The smallest of these numbers is A) 24 B) 21 C) 14 D) 35 ANSWER:C 40. The sum of three numbers is 116. The ratio of second to the third is 9 : 16 and the first to the third is 1 : 4. The second number is A) 30 B) 32 C) 34 D) 36 ANSWER:D 41. In a 45 litres mixture of milk and water, the ratio of the milk to water is 2 : 1. When some quantity of water is added to the mixture, this ratio becomes 1 : 2. The quantity of water added is A) 10 litres B) 21 litres C) 35 litres D) 45 litres ANSWER:D 42. Three numbers are in the ratio 1/2:2/3:3/4. The difference between the greatest and the smallest number is 36. The numbers are A) 72, 84, 108 B) 60, 72, 96 C) 72, 84, 96 D) 72, 96, 108 ANSWER:D 43. Two numbers are in the ratio 4 : 5 and their L.C.M. is 180. The smaller number is A) 9 B) 15 C) 36 D) 45 ANSWER:C 44. The ratio of two numbers is 3 : 4 and their HCF is 15. Then the sum of the two numbers is : A) 105 B) 115 C) 120 D) 110 ANSWER:A 45. Zinc and copper are in the ratio 5 : 3 in 400 gm of an alloy. How much of copper (in grams) should be added to make the ratio 5 : 4? A) 50 B) 66 C) 72 D) 200 ANSWER:A 46. The income of A, B and C are in the ratio 3 : 7 : 4 and their expenses in the ratio 4 : 3 : 5. If A saves 300 out of an income of 2,400, the savings of B and C are : A) 4025 and 575 B) 1575 and 2625 C) 2750 and 1525 D) 3725 and 1525 ANSWER:A 47. Between two consecutive years my income are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is 45000 and my expenses in the first year is 25000 my total savings for the two years is : A) Nil B) 15000 C) 10000 D) 5000 ANSWER:D 48. A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save 1800 and 1600 respectively, find the monthly income of B : A) 3400 B) 2700 C) 1720 D) 7200 ANSWER:D 49. The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. Find the income of each person, if they save 1,300 and 900 respectively. A) 4,000, 2,400 B) 3,000, 1,800 C) 5,000, 3,000 D) 4,500 2,700 ANSWER:A 50. The annual income of A and B are in the ratio 4 : 3 and the ratio of their expenditures is 3 : 2. If each of them saves 600 in the year, the annual income of A is A) 4800 B) 1800 C) 1200 D) 2400 ANSWER:D CO 4 1. If a price increases from $200 to $250, what is the percentage increase? A) 20% B) 25% C) 30% D) 35% ANSWER: B 2. If a number increases by 15% to become 92, what was the original number? A) 75 B) 80 C) 85 D) 90 ANSWER:B 3. If a price decreases from $1500 to $1200, what is the percentage decrease? A) 20% B) 25% C) 30% D) 35% ANSWER:A 4. If a number decreases by 10% to become 45, what was the original number? A) 50 B) 55 C) 60 D) 65 ANSWER:A 5. After a 20% discount, the price of a shirt is $400. What was the original price? A) $450 B) $480 C) $500 D) $520 ANSWER:C 6. What is 20% of 550? A) 120 B) 110 C) 150 D) 200 ANSWER:B 7. In a class of 40 students, 30% are girls. How many boys are there in the class? A) 28 B) 30 C) 32 D) 35 ANSWER:A 8. A car depreciates in value by 20% each year. If its initial value was $25,000, what will be its value after one year? A) $20,000 B) $22,500 C) $23,000 D) $24,000 ANSWER:B 9. A store is offering a 25% discount on all items. If a jacket originally costs $8000, what is the sale price? A) $2000 B) $6000 C) $6500 D) $7000 ANSWER:B 10. A Cycle was purchased for Rs.1600 and sold for Rs.1400.Find its gain or loss percentage? A) 25% B) 25.5% C) 12% D) 12.5% ANSWER:D 11. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle? A) $1090 B) $1160 C) $1190 D) $1202 ANSWER:A 12. If two numbers are respectively 20% and 50% of a third number, what is the percentage of the first number to the second? A) 10 B) 20 C) 30 D) 40 ANSWER:D 13. If an article is sold at a loss of 10%, the selling price is $1800.What was cost price? A) $2000 B) $2200 C) $2500 D) $2700 ANSWER:A 14. What is 93% of 30? A) 27% B) 27.5% C) 27.2% D) 27.9% ANSWER:D 15. If the selling price is doubled,the profit triples.Find the profit percent? A) 50% B) 100% C) 150% D) 200% ANSWER:B 16. A student scored 72 marks out of 90 in an exam.Whatn is the percentage score? A) 75% B) 80% C) 85% D) 90% ANSWER:B 17. What is 88% of 40? A) 25 B) 25.2 C) 35.2 D) 35.4 ANSWER:C 18. What is 15% of 10200? A) 8650 B) 8670 C) 8550 D) 8570 ANSWER:B 19. If 15% of a number is 45, what is the number? A) 100 B) 200 C) 300 D) 400 ANSWER:C 20. A company's profit incresed from $500,000 to $750,000.What is the percentage increase in profit? A) 30% B) 40% C) 50% D) 60% ANSWER:C 1. A value decreases by 20% in the first month and by 30% in the second month. If the initial value was 500, what is the value at the end of the second month? A. 240 B. 250 C. 280 D. 350 ANSWER:A 2.A sells a bycycle to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays $225, what did A pay for it. A) $200 B) $250 C) $150 D) $170 ANSWER:C 3. If the cost price of 6 articles is equal to the selling price of 4 articles. Find the gain or loss percent? A) 100% B) 50% C) 25% D) 12.5% ANSWER:B 4. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: A) 15 B) 16 C) 18 D) 25 ANSWER:B 5. On selling 17 balls at Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is: A) $45 B) $50 C) $55 D) $60 ANSWER:D 6. A trader marks his goods at 40% above the cost price and gives a discount of 25% on the marked price. What is his profit percentage? A) 5% B) 10% C) 15% D) 20% ANSWER:A 7. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is: A) 30% B) 33.33% C) 35% D) 44% ANSWER:D 8. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? A) $21,000 B) $22,500 C) $25,300 D) $25,800 ANSWER:C 9. If A’s salary is 25% higher than B’s salary,then how much per cent is B’s salary lower than A’s? A) 16.33% B) 33.33% C) 20% D) 25% ANSWER:C 10. When the cost of petroleum increases by 40%, a man reduces his annual consumption by 20%. Find the percentage change in his annual expenditure on petroleum. A) 12% B) 16% C) 20% D) 40% ANSWER:A 1. A man buys two items for $300 each. He sells one at a profit of 20% and the other at a loss of 10%. What is his overall profit or loss? A) $20 profit B) $30 profit C) $20 loss D) $30 loss ANSWER:B 2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? A) 30% B) 70% C) 100% D) 250% ANSWER:B 3. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit? A) 3.5% B) 4.5% C) 5.6% D) 6.5% ANSWER:C 4. A screw driver and a hammer currently have the same price. If the price of a screw driver rises by 5% and the price of hammer goes up by 3%, then how much more will it cost to buy 3 screw drivers and 3 hammers? A) 3% B) 4% C) 5% D) 8% ANSWER:B 5. A number is increased by 20% and then decreased by 25%.The final value is 360.What was the original number? A) 100 B) 200 C) 300 D) 400 ANSWER:D 6. A population of a town is 50,000.If the male population increased by 10% and the female population increased by 15%, the total population becomes 55,750.Find the original number of males and females in the town. A) 15,000;35,000 B) 35,000;15,000 C) 20,000;30,000 D) 25,000;25,000 ANSWER:B 7. A merchant sold an article at a loss of 20%.If he had sold it for $50 more, he would have gained at 10%.Find the cost price of the article? A) $166.67 B) $156.67 C) $146.67 D) $136.67 ANSWER:A 8. Sixty five percentage of a number is 21 less than four-fifth of that number.What is the number? A) 110 B) 120 C) 130 D) 140 ANSWER:D 9. A book was sold for Rs.27.50 with a profit of 10%. If it were sold for Rs.25.75,then what would have been the percentage of profit or loss? A) 3% B) 4% C) 5% D) 8% ANSWER:A 10. Jacob bought a scooter for a certain sum of money.He spent 10% of the cost on repairs and sold the scooter for a profit of Rs.1100.How much did he spend on repairs if he made a profit of 20%? A) Rs.400 B) Rs.440 C) Rs.500 D) Rs.550 ANSWER:C CO 5 1. What is marked price of the the product? Statement I – After giving the 10% discount on mark price the shopkeeper make a profit of 26% by selling the item. Ratio of cost price and mark price is 5:7. Statement II – Difference of mark price and cost price is 40. Difference of selling price and marked price is 14. Marked price is 40% of the cost price. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:E 2. Is A is an even number? Statement I – 6A+3B is even number. Statement II – 3A+6B is even number. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:B 3. Find the present age of B? Statement I – Age A 2years ago equal to the age of C 4 years ago. Age of C is average age of A and B. Statement II – ratio of present age of B and age of C after 2 years is 1:1. A is 2 years younger than C. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:D 4. There is three numbers, first, second and third. What is the 45% of first number? Statement I – 6/11 of the first number is equal to the 22% percent of second number. second number is equal to the ¼ of third number. Statement II – First number is 92 more than the ¼ of the second number. Difference of first and second number is 458. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:B 5.. In a company there are two type of employee in a company either 25 year or more than 25 year. Find how many male are 25 year old? Statement I – There is 45 % male employee in the company. Out of the total female employee 60% is 25 years age. Statement II – Total employee of the company is 4800. Out of that 40% is above 25 years age. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:C 6.What is the total profit or loss percentage made by shopkeeper? Statement I – The shopkeeper mixed Rs. 38 per kg 4kg rice with Rs. 34 per kg rice and sells the total rice at Rs. 36 per kg. Statement II – shopkeeper sell total 9 kg of rice and also give 950gm rice in place of 1kg. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:C 7. What is the two-digit? Statement I – sum of the digit is 9 and difference of the digit is 1. Statement II – if we added sum of the digit than we get the reverse of the number. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:C 8. Find the cost price of the product? Statement I – when shopkeeper give 20% discount on marked price shopkeeper earn 5% profit. Statement II – when shopkeeper gives 10% discount then there is profit of Rs.58. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:C 9. What are maximum marks of the examination? Statement I – Avearge marks of three students is 643. First student get 56% second student gets 634 marks. Statement II – Third students gets 92% marks in the exam which is 171 marks less than Second student. Second student gets 144 more marks than First student. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II. ANSWER:C 10. In a certain code language which of the following is the code for “trunk”? Statements I: “trunk call given” is coded as “ckgsnc” Statements II. “given new behalf” is coded as “pknctp” Statements III. “call our given” is coded as “gsncmj” A) All the statements are required B) Only I and II are sufficient C) Only II and III are sufficient D) Only I and III are sufficient E) Question cannot be answered even with the information in all three statements. ANSWER:D 11. In the given coded language, how is the word ‘loud’ coded? Statement I: In a certain language, ‘does that matter’ is coded as ‘di ci ni’ and ‘matter loud clear’ is coded as ‘ni pi qi’. Statement II: In a certain language, ‘loud part apart’ is coded as ‘qi ei fi’ and ‘trans apart slice’ is coded as ‘fi gi mi’ A. If the data given in statement I alone is sufficient to answer the question. B. If the data given in statement II alone is sufficient to answer the question. C. If the data given in either statement I or statement II alone is sufficient to answer the question. D. If the data given in both statement I and statement II are sufficient to answer the question. ANSWER:D 12. Two positive integers A and B are given. what is the HCF of A and B Statement I:The LCM of A and B is 84 Statement II:A and B are both factors of 84. A. Statement I alone is sufficient,but statement 2 alone is not sufficient. B. Statement II alone is sufficient,but statement 1 alone is not sufficient. C. both statement I and statement II are sufficient. D. Statements I and II together are not sufficient. E. Each statement alone is sufficient. ANSWER:E 13. What is the unit digit of the product of two integers A and B Statement I:The unit digit of A is 4 Statement II: The unit digit of B is 7. A. Statement I alone is sufficient,but statement 2 alone is not sufficient. B. Statement II alone is sufficient,but statement 1 alone is not sufficient. C. both statement I and statement II together are sufficient. D. Statements I and II together are not sufficient. E. Each statement alone is sufficient. ANSWER:D 14. What is the cube root of n where n is a positive integer ? Statement I:n is perfect cube Statement II: n is the three digit number A. Statement I alone is sufficient,but statement 2 alone is not sufficient. B. Statement II alone is sufficient,but statement 1 alone is not sufficient. C. both statement I and statement II together are sufficient. D. Statements I and II together are not sufficient. E. Each statement alone is sufficient. ANSWER:A 15.What is John’s current age ? Statement I:In 5 years ,john will be twice as old as he was 5 years ago. Statement II: John’s brother is currently 10 years older that john. A. Statement I alone is sufficient, but statement 2 alone is not sufficient. B. Statement II alone is sufficient, but statement 1 alone is not sufficient. C. both statement I and statement II together are sufficient. D. Statements I and II together are not sufficient. E. Each statement alone is sufficient. ANSWER:A 1. The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answers the question that follow. Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.) 1.Near about 20% of the funds are to be arranged through: A.SPVS B. External Assistance C. Annuity D. Market Borrowing Answer: Option B. Explanation: 20% of the total funds to be arranged = Rs. (20% of 57600) crores = Rs. 11520 crores Rs. 11486 crores. Rs. 11486 crores is the amount of funds to be arranged through External Assistance. 2.If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds? A. 4.5% B. 7.5% C. 6% D. 8% Answer: Option C. Explanation: Shortage of funds arranged = Rs. (11486 - 9695) crores through External Assistance = Rs. 1791 crores. Increase required in Market Borrowing = Rs. 1791 crores. 1791 Percentage increase required = x 100 % = 5.98% 6%. 29952 3. The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is A. 2 : 9 B. 1 : 6 C. 3 : 11 D. 2 : 5 Answer: Option B Explanation: 4910 1 1 Required ratio = =. 29952 6.1 6 2. The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors. Subscriptions Generated for India Bonds 1.If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's together is: A. 24,000 crore B. 24,363 crore C. 25,423 crore D. 25,643 crore Answer: OptionB Explanation: (67/11) x 4000 = 24 363.6364 2. What percentage of the total investment is coming from FII's and NRI's ? A. 33 % B. 11 % C. 44 % D. 22 % Answer: Option C Explanation: (33 + 11) = 44 3. If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRI's and Offshore funds will be (approximately) ? A. 274,100 B. 285,600 C. 293,000 D. Cannot be determined Answer: Option A Explanation: Investment other than NRI and corporate houses is 33% = 335000. Also, investment by offshore funds and NRI's is equal to 27%. Hence, 27 x 335,000/33 = 274 090.909 3. The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it. 1. What percent of total spending is spent on Tennis? A. 12 ½ % B. 22 ½% C. 25% D. 45% Answer: OptionA Explanation: 45 1 Percentage of money spend on Tennis = x 100 % = 12 %. 360 2 2.How much percent more is spent on Hockey than that on Golf? A. 27% B. 35% C. 37.5% D. 75% Answer: Option D Explanation: Let the total spendings on sports be Rs. x. Then, 36 x Amount spent on Golf = Rs. x x = Rs.. 360 10 63 7x Amount spent on Hockey = Rs x x = Rs.. 360 40 7x x 3x Difference = Rs. - = Rs. 40 10 40 3x/40 Required percentage = Rs. x 100 % = 75%. x/10 3. If the total amount spent on sports during the year be Rs. 1,80,00,000 , the amount spent on Basketball exceeds on Tennis by: A. Rs. 2,50,000 B. Rs. 3,60,000 C. Rs. 3,75,000 D. Rs. 4,10,000 Answer: Option A Explanation: Amount spent on Basketball exceeds that on Tennis by: (50 - 45) Rs. x 1,80,00,000 = Rs. 2,50,000. 360 4. How much percent less is spent on Football than that on Cricket? A. 22 2/9 % B. 27% 1 C. 333 % 1 D. 37 7% Answer: Option C Explanation: Let the total spendings on sports be Rs. x. Then, 81 9x Amount spent on Cricket = Rs. x x = Rs.. 360 40 54 3x Amount spent on Football = Rs x x = Rs.. 360 20 9x 3x 3x Difference = Rs. - = Rs. 40 20 40 3x/40 1 Required percentage = Rs. x 100 % = 33 %. 9x/40 3 5. If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on Cricket and Hockey together was: A. Rs. 8,00,000 B. Rs. 80,00,000 C. Rs. 1,20,00,000 D. Rs. 1,60,00,000 Answer: Option B Explanation: (81 + 63) Amount spent on Cricket and Hockey together = Rs. x2 crores 360 = Rs. 0.8 crores = Rs. 80,00,000. HARD 4. The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by Income - Expenditure % Profit/Loss = x 100 Expenditure Income and Expenditure (in million US $) of five companies in the year 2001. 1. The companies M and N together had a percentage of profit/loss of? A. 12% loss B. 10% loss C. 10% profit D. There was no loss or profit Answer: Option D Explanation: Total income of Companies M and N together = (35 + 50) million US $ = 85 million US $ Total expenditure of Companies M and N together = (45 + 40) million US $ = 85 million US $. Percent Profit/Loss of companies M and N together 85 - 85 % Profit/Loss = x 100 = 0%. 85 Thus, there was neither loss nor profit for companies M and N together. 2. In 2001, what was the approximate percentage of profit/loss of all the five Companies taken together? A. 5% profit B. 6.5% profit C. 4% loss D. 7% loss Answer: Option A Explanation: Total income of all five companies = (35 + 50 + 40 + 40 + 50) million US $ = 215 million US $. Total expenditure of all five companies = (45 + 40 + 45 + 30 + 45) million US $ = 205 million US $. (215 - 205) % Profit = x 100 % = 4.88% 5%. 205 3.Which company earned the maximum percentage profit in the year 2001? A. M B. N C.P D. Q Answer: Option D Explanation: The percentage profit/loss in the year 2001 for various comapanies are: (35 - 45) For M = x 100 % = -22.22% i.e., Loss = 22.22%. 45 (50 - 40) For N = x 100 % = 25% i.e., Profit = 25%. 40 (40 - 45) For P = x 100 % = -11.11% i.e., Loss = 11.11%. 45 (40 - 30) For Q = x 100 % = 33.33% i.e., Profit = 33.33%. 30 (50 - 45) For R = x 100 % = 11.11% i.e., Profit = 11.11%. 45 Clearly, the Company Q earned the maximum profit in 2001. EASy: 5. A cosmetic company provides five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 are shown in the following bar graph. Sales (in lakh number of packs) of five different products of Cosmetic Company during 1995 and 2000 1. The sales of lipsticks in 2000 was by what percent more than the sales of nail enamels in 2000? (rounded off to nearest integer) A. 33% B. 31% C. 28% D. 22% Answer: Option C Explanation: (48.17 - 37.76) Required percentage = x 100 % 37.76 = 27.57% 28%. 2. What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcum powders in 1995? A. 7:2 B. 5:2 C. 4:3 D. 2:1 Answer: Option B Explanation: 37.76 5 Required ratio = 2.5 =. 14.97 2 3. The sales of conditioners in 1995 was by what percent less than the sales of shampoos in 1995? (rounded off to nearest integer) A. 57% B.36% C. 29% D. 25% Answer: Option B Explanation: (7.88 - 5.01) Required percentage = x 100 % 7.88 = 36.42% 36%. 6. The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991 - 1992 to 1998 - 1999. Foreign Exchange Reserves Of a Country. (in million US $) 1. The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves is? A. 2:6 B. 3:4 C. 3:5 D. 4:4 Answer: Option C Explanation: Average foreign exchange reserves over the given period = 3480 million US $. The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98, i.e., for 3 years and below 3480 million US $ during the years 1991-92, 1993-94, 1994-95, 1995-56 and 1998-99 i.e., for 5 years. Hence, required ratio = 3 : 5. 2.The foreign exchange reserves in 1997-98 was how many times that in 1994-95? A. 0.7 B. 1.2 C. 1.4 D. 1.5 Answer: Option D Explanation: 5040 Required ratio = = 1.5. 3360 3. What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94? A. 100 B. 150 C. 200 D. 620 Answer: Option A Explanation: Foreign exchange reserves in 1997 - 1998 = 5040 million US $. Foreign exchange reserves in 1993 - 1994 = 2520 million US $. Increase = (5040 - 2520) = 2520 US $. 2520 Percentage Increase = x 100 % = 100%. 2520 7. Study the following table and answer the questions.Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination. Marks out of 50 Subject 40 and 30 and 20 and 10 and 0 and above above above above above Physics 9 32 80 92 100 Chemistry 4 21 66 81 100 Average 7 27 73 87 100 (Aggregate) 1.What is the different between the number of students passed with 30 as cut-off marks in Chemistry and those passed with 30 as cut-off marks in aggregate? A. 3 B. 4 C. 5 D. 6 Answer: Option D Explanation: Required difference = (No. of students scoring 30 and above marks in Chemistry) - (Number of students scoring 30 and above marks in aggregate) = 27 - 21 = 6. 2.If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in Physics? A. 27 B. 32 C. 34 D. 41 Answer: Option B. Explanation: 60 We have 60% of 50 = x 50 = 30. 100 Required number = No. of students scoring 30 and above marks in Physics = 32 3. If it is known that at least 23 students were eligible for a Symposium on Chemistry, then the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range? A. 40-45 B. 30-40 C. 20-30 D. Below 20 Answer: Option C Explanation: Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30. 8. A school has four sections A, B, C, D of Class IX students. The results of half yearly and annual examinations are shown in the table given below. No. of Students Result Section A Section B Section C Section D Students failed in both Exams 28 23 17 27 Students failed in half-yearly 14 12 8 13 but passed in Annual Exams Students passed in half-yearly 6 17 9 15 but failed in Annual Exams Students passed in both Exams 64 55 46 76 1. If the number of students passing an examination be considered a criteria for comparison of difficulty level of two examinations, which of the following statements is true in this context? A. Half yearly examinations were more difficult. B. Annual examinations were more difficult. C. Both the examinations had almost the same difficulty level. D. The two examinations cannot be compared for difficulty level. Answer: Option C. Explanation: Number of students who passed half-yearly exams in the school = (Number of students passed in half-yearly but failed in annual exams) + (Number of students passed in both exams) = (6 + 17 + 9 + 15) + (64 + 55 + 46 + 76) = 288. Also, Number of students who passed annual exams in the school = (Number of students failed in half-yearly but passed in annual exams) + (Number of students passed in both exams) = (14 + 12 + 8 + 13) + (64 + 55 + 46 + 76) = 288. Since, the number of students passed in half-yearly = the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level. Thus Statements (a), (b) and (d) are false and Statement (c) is true. 2.How many students are there in Class IX in the school? A. 336 B. 189 C. 335 D. 430 Answer: Option D. Explanation: Since the classification of the students on the basis of their results and sections form independent groups, so the total number of students in the class: = (28 + 23 + 17 + 27 + 14 + 12 + 8 + 13 + 6 + 17 + 9 + 15 + 64 + 55 + 46 + 76) = 430. 3. Which section has the maximum pass percentage in at least one of the two examinations? A. A Section B. B Section C. C Section D. D Section Answer: Option D. Explanation: Pass percentages in at least one of the two examinations for different sections are: (14 + 6 + 64) 84 For Section A x 100 % = x 100 % = 75%. (28 + 14 + 6 + 64) 112 For Section B (12 + 17 + 55) x 100 % = 84 x 100 % = 78.5%. (23 + 12 + 17 + 55) 107 (8 + 9 + 46) 63 For Section C x 100 % = x 100 % = 78.75%. (17 + 8 + 9 + 46) 80 (13 + 15 + 76) 104 For Section D x 100 % = x 100 % = 79.39%. (27 + 13 + 15 + 76) 131 Clearly, the pass percentage is maximum for Section D. HARD: 9. The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Proportion of Males and Females Percentage of Population below the Below Poverty Above Poverty State Poverty Line Line Line M:F M:F P 35 5:6 6:7 Q 25 3:5 4:5 R 24 1:2 2:3 S 19 3:2 4:3 T 15 5:3 3:2 1.If the male population above poverty line for State R is 1.9 million, then the total population of State R is? A. 4.5 million B. 4.85 million C. 5.35 million D. 6.25 million Answer: Option D. Explanation: Let the total population of State R be x million. Then, population of State R above poverty line = [(100 - 24)% of x] million 76 = xx million 100 And so, male population of State R above poverty line 2 76 = x xx million 5 100 But, it is given that male population of State R above poverty line = 1.9 million. 2 76 5 x 100 x 1.9 x xx = 1.9 x= = 6.25. 5 100 76 x 2 Total population of State R = 6.25 million. 2.What will be the number of females above the poverty line in the State S if it is known that the population of State S is 7 million? A. 3 million B. 2.43 million C. 1.33 million D. 5.7 million Answer: Option B. Explanation: Total population of State S = 7 million. Population above poverty line = [(100 - 19)% of 7] million = (81% of 7) million = 5.67 million. And so, the number of females above poverty line in State S 3 = x 5.67 million 7 = 2.43 million. 10. The table below shows the number of units produced and sold by a company over five years. Year Units Produced Units Sold 2019 12,000 11,500 2020 15,000 14,000 2021 18,000 17,500 2022 20,000 19,000 2023 25,000 24,500 Based on the table, answer the following question: 1. In which year did the company sell the highest percentage of its produced units? A) 2019 B) 2020 C) 2021 D) 2022 E) 2023 Solution: The highest percentage of units sold is in 2023. Correct Answer: E) 2023 2. What is the total number of units sold by the company over the five years? A) 86,000 B) 88,000 C) 89,500 D) 90,000 E) 92,000 Solution: Sum of units sold from 2019 to 2023: 11,500 + 14,000 + 17,500 + 19,000 + 24,500 = 86,500 Correct Answer: C) 89,500 3. What is the average number of units produced by the company per year over the five years? A) 18,600 B) 18,800 C) 19,000 D) 19,200 E) 19,400 Solution: Sum of units produced from 2019 to 2023: 12,000 + 15,000 + 18,000 + 20,000 + 25,000 = 90,000 Average number of units produced per year: 90,0005=18,000\frac{90,000}{5} = 18,000590,000=18,000 Correct Answer: B) 18,800 11. Age Group Male Population Female Population Total Population 0-10 3,500 3,200 6,700 11-20 4,000 3,900 7,900 21-30 5,500 5,300 10,800 31-40 4,700 4,600 9,300 41-50 3,800 3,700 7,500 51-60 3,200 3,100 6,300 61-70 2,700 2,600 5,300 71-80 1,800 1,700 3,500 81-90 1,200 1,100 2,300 Question: What is the ratio of the total population in the age group 21-30 to the combined total population of the age groups 51-60 and 71-80? A) 1.00 B) 1.05 C) 1.08 D) 1.10 Solution: Total population in age group 21-30: 10,800 Combined total population of age groups 51-60 and 71-80: 6,300 + 3,500 = 9,800 Ratio = 10,8009,800=1.102≈1.10\frac{10,800}{9,800} = 1.102 \approx 1.109,80010,800 =1.102≈1.10 Correct Answer: D) 1.10 11. Table: Age Distribution of Employees in a Company Department 20-30 years 31-40 years 41-50 years 51-60 years Total Employees HR 10 15 5 5 35 IT 20 25 10 5 60 Finance 5 10 15 5 35 Marketing 10 15 5 5 35 Operations 15 20 10 5 50 Total 60 85 45 25 215 Question: 1. If a company policy requires at least 40% of employees in any department to be under 40 years of age for initiating a specific training program, which of the following departments are eligible for the program? A) HR and IT B) IT and Marketing C) HR, IT, and Marketing D) IT, Marketing, and Operations E) HR, IT, Marketing, and Operations Solution: Calculate the percentage of employees under 40 years in each department:. The correct answer is: E) HR, IT, Marketing, and Operations 2. What is the average number of employees in the 41-50 years age group across all departments? A) 5 B) 9 C) 8.5 D) 7.5 E) 10 Solution: Sum of employees in the 41-50 years age group = 5 (HR) + 10 (IT) + 15 (Finance) + 5 (Marketing) + 10 (Operations) = 45 Average number of employees in 41-50 years age group = 455=9\frac{45}{5} = 9545=9 The correct answer is: B) 9 3.If the company decides to lay off 10% of employees aged 51-60 years from each department, how many employees in this age group will remain in the company? A) 22 B) 20 C) 23 D) 21 E) 25 Solution: Total employees aged 51-60 years = 25 10% of 25 = 2.5 (rounding down to 2 as you can't have half an employee) Remaining employees aged 51-60 years = 25 - 2 = 23 The correct answer is: C) 23
