MAT September 2014 Solved Question Paper: Quantitative Aptitude

Jagran Josh

Previous year papers provide the best snapshot to the student regarding what they can expect in the coming year exam. By practicing the previous year papers you can also get an overview to prepare the expected topics in a systematic manner.

In this article we will be taking an in-depth look at the Quantitative Aptitude Section of MAT September 2014 Solved Question Paper.

So, read the questions carefully and solve the question paper to brush up your Quantitative Aptitude skills for the upcoming MAT exam.

MAT September 2014 Solved Question Paper: Quantitative Aptitude

(a) 3

(b) 4

(c) 5

(d) 6

2. Three containers A, B and C are having mixtures of milk and water in the ratio 1:5, 3:5 and 5:7, respectively. If the capacities of the containers are in the ratio 5:4:5, find the ratio of milk to water, if the mixtures of all the three containers are mixed together?

(a) 53:115

(b) 23:123

(c) 11:4

(d) None of these

3. In what ratio should tea at ` 350 per kg be mixed with tea at ` 400 per kg in order that the mixture be worth `380 per kg?

(a) 3:2

(b) 2:3

(c) 1:2

(d) 2:1

4. The expenses of an all boys' institute are partly constant and partly vary as the number of boys. The expenses were ` 10000 for 150 boys and ` 8400 for 120 boys. What will the expenses be when there are 330 boys?

(a) ` 18000

(b) ` 19600

(c) ` 22400

(d) None of these

5. In a company XYZ Ltd. a certain number of engineers can develop a design in 40 days. If there were 5 more engineers, it could be finished in 10 days less. How many engineers were there in the beginning?

(a) 18

(b) 20

(c) 25

(d) 15

6. A tank of capacity 25 L has an inlet and an outlet tap. If both are opened simultaneously, the tank is filled in 5 min. But if the outlet flow rate is doubled and taps opened the tank never gets filled up. Which of the following can be outlet flow rate?

(a) 3 L/min

(b) 4 L/min

(c) 5 L/min

(d) None of these

7. A and B completed a work together in 5 days. Had A worked at twice the speed and B at half the speed, it would have taken them 4 days to complete the job. How much time would it take for A alone to do the work?

(a) 10 days

(b) 20 days

(c) 15 days

(d) 25 days

8. A cistern is normally filled in 6 h but takes 4 h longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in how much time?

(a) 20 h

(b) 15 h

(c) 23 h

(d) 17 h

9. A railway passenger counts the telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50 m. What will be his count in 4 h, if the speed of the train is 45 km/h?

(a) 600

(b) 2500

(c) 3600

(d) 5000

10. Ram and Shyam run a race of 2000 m. First, Ram gives Shyam a start of 200 m and beats him by 30 s. Next, Ram gives Shyam a start of 3 min and is beaten by 1000 m. Find the time in minutes in which Ram and Shyam can run the race separately?

(a) 8 min, 10 min

(b) 4 min, 5 min

(c) 5 min, 9 min

(d) 6 min, 9 min

11. Two swimmers started simultaneously from the beach, one to the South and the other to the East. Two hours later, the distance between them turned out to be 100 km. Find the speed of the faster swimmer, knowing that the speed of one of them was 75% of the speed of the other.

(a) 30 km/h

(b) 40 km/h

(c) 45 km/h

(d) 60 km/h

13. The length, breadth and height of a room are, in the ratio of 3:2:1. If its volume be 1296 m3, find its breadth.

(a) 24 m

(b) 15 m

(c) 16 m

(d) 12 m

14. 94. Seven equal cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboid.

(a) 750 cm3

(b) 1500 cm3

(c) 2250 cm3

(d) 700 cm3

15. If the curved surface area of a cone is thrice that of another cone and slant height of the second cone is thrice that of the first, find the ratio of the area of their base.

(a) 9:1

(b) 81:1

(c; 3:1

(d) 27:1

21. 400 students took the mock test, 60% of the boys and 80% of the girls cleared the cut off in the, test. If the total percentage of students qualifying is 65%, how many girls appeared in the test?

(a) 100

(b) 120

(c) 150

(d) 300

22. A cistern contains 50 L of water. 5 L of water is taken out of it and replaced with 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

23. In a zoo, there are healthy deers and ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?

(a) 156

(b) 68

(c) 22

(d) 44

24.  What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels in the ratio 4:1,5:2 and 6:1, respectively?

(a) 166:22

(b) 83:22

(c) 83:44

(d) None of these

25. The cost of manufacture of an article is made up of four components A, B, C and D which have a ratio of 3:4:5:6, respectively. If there are respective changes in the cost of + 10%, -20%, -30% and + 40%, then what would be the percentage change in the cost?

(a) 2.22%

(b) 1.80%

(c) 3.28%

(d) 0.95%

26. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays Rs. 680.40 as the price including the sales tax, then what is, the marked price of the item?

(a) ` 630

(b) ` 700

(c) ` 780

(d) None of these

27. In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 157300 was their profit, how much amount did B receive?

(a) 24200

(b) 36300

(c) 48400

(d) 72600

28. After receiving two successive raises, Ajitha's salary became equal to 15/8 times of her initial salary. By how much per cent was the salary raised the first time if the second raise was twice as high (in per cent) as the first?

(a) 15

(b) 20

(c) 25

(d) 30

29. A person saves 6% of his income. 2 yr later, his income shoots up by 15% but his savings remain the same. Find the hike in his expenditure (in approx per cent).

(a) 13.65%

(b) 12.45%

(c) 14.85%

(d) 15.95%

30. A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for 1800. Find the original price of petrol (in ` per gallon).

(a) 20

(b) 30

(c) 40

(d) 50

31. Aditi bought an article and spent Rs. 110 on its repairs. She then sold it to Samir at a profit of 20%. Samir sold it to Vikas at a loss of 10%. Vikas finally sold it for 1188 at a profit of 10%. How much did Aditi pay for the article?

(a)  890

(b) 1000

(c) 780

(d) 840

32. A carpenter wants to sell 40 chairs. If he sells them at Rs. 156 per chair, he would be able to sell all the chairs. But for every Rs. 6 increase in price, he will be left with one additional unsold chair. At what selling price would he be able to maximize his profits (assuming unsold chairs remain with him)?

(a) 198

(b) 192

(c)  204

(d) cannot be determined

33. A driver of an auto-rickshaw makes a profit of 20% on every trip when he carries three passengers and the price of petrol is Rs. 30/L. Find the percentage profit for the same journey if he goes for four passengers per trip and the price of petrol reduces to Rs. 24/L? (Assume that revenue per passenger is the same in both the cases).

(a) 33.33%

(b) 65.66%

(c) 100%

34. After selling a watch, Sultan found that he had made a loss of 10%. He also found that had he sold it for Rs. 27 more, he would have made a profit of 5%. The actual initial loss was what percentage of the profit earned, had he sold the watch for a 5% profit?

(a) 23%

(b) 150%

(c) 180%

(d) 200%

36. Ashok borrows 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is 186. How much does he borrow at the rate of 12%?

(a) 1200

(b) 1300

(c) 1400

(d) 1000

37. Divide 6000 into two parts, so that simple interest on the first part for 2 yr at 6% per annum may be equal to the simple interest on the second part for 3 yr at 8% per annum?

(a) 4000, 2000

(b) 5000, 1000

(c) 3000, 3000

(d) None of these

38. A part of 38800 is lent out at 6% per six months. The rest of the amount is lent out at 5% per annum after 1 yr. The ratio of interest after 3 yr from the time when first amount was lent out is 5:4. Find the second part that was lent out at 5%.

(a) 26600

(b) 28800

(c) 7500

(d) `28000

= 38800 - 10000

= 28800

39. Mukesh borrows a certain sum of money from the ABC Bank at 10% per annum at compound interest. The entire debt is discharged in full by Mukesh on payment of two equal amounts of 1000 each, one at the end of the first year and the other at the end of the second year .What is the approximate value of the amount borrowed by him?

(a) 1852

(b) 1694

(C) 1736

(d) 1792

40. 5783 is divided among Ramesh, Shiv and Bhuwan in such a way that if ` 28, ` 37 and ` 18 be deducted from their respective shares, they have money in the ratio 4:6:9. Find Ramesh's share.

(a) 1256

(b) 1054

(c) 1456

(d) 1228