Arithmetic - 1 PDF Past Paper

# Arithmetic - 1 ## Topics Covered - Percentage calculations - SI/CI ## Number of questions: 30 ## Questions 1. Ram scored 48% marks in a test and he failed by 14 marks. Had he scored 51% marks in the same test, he would have passed by 7 marks. Find the pass marks in that test. - 336 - 350...

# Arithmetic - 1 ## Topics Covered - Percentage calculations - SI/CI ## Number of questions: 30 ## Questions 1. Ram scored 48% marks in a test and he failed by 14 marks. Had he scored 51% marks in the same test, he would have passed by 7 marks. Find the pass marks in that test. - 336 - 350 - 357 - 700 2. Sixty percent of the employees of a certain company are men, and 75% of the men earn more than Rs. 30,000 per year. If 55% of the company's employees earn more than Rs. 30,000 per year, what fraction of the women employed by the company earn Rs. 30,000 per year or less? - 2/11 - 1/4 - 10/17 - None of these 3. In an election 10% of the voters on the voter list did not cast their votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list was - 3600 - 6200 - 4575 - 6026 4. A bus traveling at 80 kmph uses 40% more diesel to travel a certain distance than it does when it travels at speed of 60 kmph. If the bus can travel 22.4 km on a litre of diesel at 60 kmph, how far can the bus travel on 10 litres of diesel at a speed of 80 kmph? - 130 - 140 - 150 - 160 5. A watermelon is kept under sun for 3 days. Due to which its water content reduces from 85% to 80%. If 3 kg of water got evaporated, then what was the initial weight (in kg) of the watermelon? 6. Fresh grapes contain 80% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes? - 4 kg - 5.5 kg - 10 kg - None of these 7. If the price of a bicycle is increased by 9.09%, then by 8.33% and then by 7.7%, the price becomes Rs. 1,274. What is the original price of the bicycle (in Rs.)? 8. The price per unit of an article decreases by 4%, and the consumption (in units) decreases by 8%. The expenditure would decrease by - 12% - 12.32% - 11.68% - 4.32% - 3.68% 9. The length of a rectangle increases by 6%, while its breadth decreases by 5%. The area would increase by - 1% - 0.6% - 0.7% - 2% - 7% 10. If all the sides of a cuboid increase by 4%, the volume would increase by - 12% - 12.49% - 11.52% - 12.12% -12.64% 11. The price of petrol was increased by 25% and a person reduced his consumption by 25%. What was the percentage change in the expenditure incurred by him on petrol? - 6.25% decrease - 7% decrease - 6.75% increase - 6% increase - 6.25% increase 12. Radius of the base of a right circular cylinder is increased by 10% and height is decreased by 20%. Find the percentage increase or decrease in - Area of the base - Volume of the right circular cylinder - 21% increase, 5.6% decrease - 10% increase, 5.6% decrease - 10% increase, 12% decrease - 21% increase, 3.2% decrease - 21% decrease, 5.6% decrease 13. The price of sugar is raised by 10%. By how much percent must a man reduce his consumption of sugar in order to keep his expenditure the same? - 9.09% - 10% 14. The length of a rectangle is increased by 20%. What is the percentage change in its breadth such that its area will increase by 10%. - 8.33% decrease - 8.33% increase - 32% decrease - 32% increase - Cannot be determined 15. If A earns 1 / 3 33 % more than B, then how much percent does B earn less than A? - 20% - 25% - 33 1/3 % - 40% - 15% 16. Due to reduction in the price of mangoes by 30%, a customer can buy 15 more mangoes for the same amount. Find the original number of mangoes he used to buy. 17. Due to 21% increase in price of sugar, a person can buy 10.5 kg sugar less for Rs. 1,600. Find the increased price of sugar. - Rs. 26.44/kg - Rs. 32/kg - Rs. 22.53/kg - Rs. 40.50/kg 18. At the end of year 2014, poultryman bought nine dozen cocks. Henceforth every year he added m% of the cocks at the beginning of the year and sold n% of the cocks at the end of the year, where m > 0 and n > 0. If poultryman had nine dozen cocks at the end of the year 2018, after making the sales for that year, which of the following is true? - m = n - m > n - m < n - m = 2n 19. The simple interest on a certain sum invested at a certain rate of interest for certain period is 9/16th of the sum. Find the rate per cent and time (in years), if both are equal. - 8.5%, 8.5 years - 9.5%, 9.5 years - 6.5%, 6.5 years - 3.33%, 3.33 years - 7.5%, 7.5 years 20. In a fixed deposit scheme, the rate of interest for the first 2 years is 3% p.a., for the next 3 years it is 8% p.a. and for the period beyond 5 years it is 10% p.a. If a man gets Rs. 1,520 as a simple interest for 6 years, how much did he deposit? - Rs. 3,750 - Rs. 3,800 - Rs. 4,000 - Rs. 3,900 21. A man invested Rs. 1,000 at a simple interest of 15% per annum. He withdraws the final amount after 'T' years. He keeps half of the withdrawn amount with him and invests the remaining. This invested amount kept on reducing at a simple rate of 12.5% per annum for a period 6 years. If the aggregate sum with the man after (T + 6) years is Rs.1,000, then find the value of 'T' (in years). 22. An amount doubles itself in 7 years when invested under CI at a certain rate. In how many years will the amount become 8 times of the original amount when invested at the same rate? - 28 years - 21 years - 49 years - 35 years 23. If the difference between the CI and SI at the end of 2 years for the same principal is Rs. 100, what is the principal amount? Rate is 5% per annum in both the cases. - Rs.50,000 - Rs.40,000 - Rs. 10,000 - Rs.20,000 - None of these 24. The compound interest on a certain sum of money for 2 years at 10% per annum is Rs.420. The simple interest on the same sum at the same rate and for the same time will be - Rs.350 - Rs.375 - Rs.380 - Rs.400 - Rs.420 25. A certain amount of money compounded annually at r% becomes Rs. 1,440 and Rs. 1,728 after 2 and 3 years respectively. Find the value of r (in %). 26. In a class, there are 'x' students. Out of these students 'y' students are fools. The percentage of fools in the class is 22.1875. What is the minimum value of (x + y)? 27. In the General Election involving only two parties, the number of votes polled against Bahumukhi Party increased by 25% over the previous general election, and it lost by a margin twice as large as that by which it had won the previous general election. If a total of 2,60,000 people voted each time, how many people voted for the Bahumukhi Party in the previous general election? - 1,10,000 - 1,50,000 - 1,40,000 - 1,20,000 - 1,30,000 28. At a premier B-School, in a batch of 160 students, 75% students did not have any prior work experience. Out of the students who had prior work experience, 80% are engineers. The percentage of the number of commerce graduates as a percentage of the number of students in this batch who are not engineers is 50. If the number of engineers is greater than the number of commerce graduates, then find the minimum possible number of engineers in this batch who do not have prior work experience. - 16 - 18 - 20 - 22 - 24 29. Vaibhav wrote CAT 2019 exam. There were four passages of equal length (in words) and they had 5, 8, 8 and 6 questions respectively. Vaibhav can answer exactly 12 questions in the time that he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same across all four passages. By what percentage should Vaibhav increase his speed (reading) in order to cutdown his total time spent by 10%? - 20% - 18.5% - 25% - 15.625% 30. Mrs. Gupta is planning for higher education expenses of her two sons aged 15 and 11. She plans to divide Rs. 20 lakhs in two equal parts and invest in two different plans such that her sons may have access to Rs. 25 lakhs each when they reach the age of 21. She is looking for plans that will give her a simple interest per annum. The rates of interest of the plans for her younger son and her elder son should be (XAT) - 5% and 7.5% respectively - 8% and 12% respectively - 10% and 15% respectively - 15% and 22.5% respectively - 15% and 25% respectively Visit "Test Gym" for taking Topic Tests / Section Tests on a regular basis.