(Held on 21-06-2015)

**Quantitative Aptitude**

**Solved Questions**

(a) 16 years (b) 20 years (c) 14 years (d) 18 years (e) 24 years (

**Ans :**d)

**Directions (2-6) :**In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer.

**Give answer :**

(a) If

*x*≥

*y*

(b) If

*x*≤

*y*

(c) If

*x*>

*y*

(d) If

*x*<

*y*

(e) If relationship between

*x*and

*y*cannot be established

**I.**4

*x*

^{2}+ 17

*x*+ 15 = 0

**II.**3

*y*+ 19

*y*+ 28 = 0 (

**Ans :**e)

3.

**I.**3

*x*

^{2}–17

*x*+ 22 = 0

**II.**5

*y*– 21

*y*+ 22 = 0 (

**Ans :**a)

4.

**I.**3

*x*

^{2}+ 11

*x*+ 10 = 0

**II.**2

*y*+ 13

*y*+ 21 = 0 (

**Ans :**c)

5.

**I.**3

*x*

^{2}+ 13

*x*+ 14 = 0

**II.**8

*y*+ 26

*y*+ 21 = 0 (

**Ans :**d)

6.

**I.**3

*x*

^{2 }– 14

*x*+ 15 = 0

**II.**15

*y*– 34

*y*+ 15 = 0 (

**Ans :**a)

**Directions (7-11) :**Study the table to answer the given questions.

(Note: Other than the mentioned expenses under the given heads, there may also be some other expense. For calculation purposes, please consider the given expense heads only.)

7. What is the respective ratio between the marketing expenses of company A and the marketing expenses of company C ?

(a) 34 : 35 (b) 32 : 33 (c) 35 : 36 (d) 36 : 37 (e) 37 : 38 (

**Ans :**d)

8. Total expenses of company E in October 2012 was 20% more than the total given expenses of the same company in April 2012. How much was the Marketing expenses of the same company in October 2012, if it was 25% of the total expenses of the same month? (in Rs. lakh)

(a) 27 (b) 24 (c) 26 (d) 21 (e) 18 (

**Ans :**d)

9. Marketing expenses of company D is less than marketing expenses of Company B, by approximately what percent?

(a) 20% (b) 40% (c) 39% (d) 59% (e) 29% (

**Ans :**e)

10. What is the average total expense of all the companies? (in Rs. lakh)

(a) 75.25 (b) 75.8 (c) 75 (d) 72.8 (e) 72.25 (

**Ans :**b)

11. What is the difference between the total expenses made by company C in legal and marketing together and the total expenses made by company E in legal and marketing together? (in Rs. lakh)

(a) 24.5 (b) 23.5 (c) 22.9 (d) 23 (e) 23.9 (

**Ans :**e)

**Directions (12-16) :**What approximate value will come in place of the question mark (?) in the given questions? (You are not expected to calculate the exact value.)

12. 6399 × l 5/8 + 353 » ? = 10444

(a) 14 (b) 22 (c) 2 (d) 16 (e) 8 (

**Ans :**e)

13 √(624) × 14.02 + √(404) × 15.97 = ?

(a) 670 (b) 570 (c) 710 (d) 510 (e) 610 (

**Ans :**a)

14. 8461 » 11.99 – 24.01 » 5/100 = ?

(a) 625 (b) 400 (c) 25 (d) 900 (e) 225 (

**Ans :**e)

15. 14.85% of 679 + 19.9% of 219.89 = ?

(a) 115 (b) 145 (c) 65 (d) 105 (e) 85 (

**Ans :**b)

16. 1441 » ? + 149.98 × 14.99 = 3006 – 254.91

(a) 35 (b) 15 (c) 25 (d) 45 (e) 3 (

**Ans :**e)

**Directions (17-21) :**What will come in place of the question mark (?) in the following number series?

17. 19 30 44 67 117 ?

(a) 236 (b) 272 (c) 264 (d) 248 (e) 254 (

**Ans :**d)

18. 7 9 18 46 111 ?

(a) 245 (b) 229 (c) 233 (d) 248 (e) 237 (

**Ans :**e)

19. 7 24 58 109 ? 262

(a) 183 (b) 189 (c) 171 (d) 163 (e) 177 (

**Ans :**e)

20. 19 20 16 25 9 ?

(a) 32 (b) 38 (c) 34 (d) 42 (e) 48 (

**Ans :**c)

21. 7.4 9.2 11.4 14 17 ?

(a) 19.8 (b) 22.6 (c) 23 (d) 21 (e) 20.4 (

**Ans :**e)

22. A bag contains 5 red balls, 6 yellow balls and 3 green balls. If two balls are picked at random, what is the probability that either both are red or both are green in colour ?

(a) 3/7 (b) 5/14 (c) 1/7 (d) 2/7 (e) 3/14 (

**Ans :**c)

23. In a 140 litre of mixture of milk and water, percentage of water is only 30%. The milkman gave 20 litre of this mixture to a customer. Then he added equal quantities of pure milk and water to the remaining mixture. As a result the respective ratio of milk and water in the mixture became 2 : 1. What was the quantity of milk added? (in litres)

(a) 12 (b) 16 (c) 18 (d) 8 (e) 10 (

**Ans :**a)

24. A boat can travel 4.2 km upstream in 14 min. If the respective ratio of speed of the boat in still water and speed of the stream is 7 : 1. How much time will the boat take to cover 17.6 km downstream? (in min)

(a) 52 (b) 44 (c) 48 (d) 36 (e) 54 (

**Ans :**b)

25. A starts a business with a capital of Rs. 1,500/-. B joins the business 6 months later from the start of the business and C joins the business 8 months later from the start of the business. In the end of the year their respective share in profit was in ratio of 5 : 3 : 3. What is the sum of amount put in the business by Band C together?

(a) Rs. 3,300/- (b) Rs. 3,500/- (c) Rs. 4,200/- (d) Rs. 4,800/- (e) Rs. 4,500/- (

**Ans :**e)

26. The length of a rectangle is 4m more than the side of a square and the breadth of the rectangle is 4m less than side of the same square. If the area of the square is 567 sq m, what is the area of the rectangle? (in sq m)

(a) 549 (b) 545 (c) 557 (d) 560 (e) 551 (

**Ans :**d)

27. A sells an item at 20% profit to B. B sells it to C at 10% profit. C sells it to D at Rs. 116/- profit. Difference between the cost price of D and cost price of A was Rs. 500/-. How much did B pay to A for the item?

(a) Rs. 1,240/- (b) Rs. 1,250/- (c) Rs. 1,440/- (d) Rs. 1,450/- (e) Rs. 1,400/- (

**Ans :**c)

28. 10 men can finish a piece of work in 15 days. 8 women can finish the same piece of work in 25 days. Only 10 women started working and in few days completed certain amount of work. After that 3 men joined them. The remaining work was completed by 10 women and 3 men together in 5 days. After how many days 3 men joined 10 women?

(a) 11 (b) 13 (c) 15 (d) 10 (e) 12 (

**Ans :**b)

29. Rs. 16,000/- was invested for three years, partly in Scheme A at the rate of 5% simple interest per annum and partly in Scheme B at the rate of 8% simple interest per annum. Total interest received at the end was Rs. 3,480/-. How much sum of money was invested in Scheme A ?

(a) Rs. 6,000/- (b) Rs. 6,500/- (c) Rs. 4,500/- (d) Rs. 4,000/- (e) Rs. 8,000/- (

**Ans :**d)

**Directions (30-34) :**Refer to the graph and answer the given questions.

30. Number of hats sold by store M during January is what per cent of the total number of hats sold by the store N during March and April together?

(a) 51 ⅓% (b) 55 ⅔% (c) 47 ⅓% (d) 53 ⅓% (e) 57 ⅔% (

**Ans :**d)

31. What is the average number of hats sold by store N during January, March, May and June?

(a) 535 (b) 525 (c) 515 (d) 500 (e) 530 (

**Ans :**b)

32. Stores M and N sell only two types of hats : Fedora Hats and Trilby Hats. If the respective ratio of total number of Fedora hats to total number of Trilby hats sold by stores M and N together during March is 9 : 5, what is the total number of Fedora hats sold by stores M and N together during March?

(a) 990 (b) 900 (c) 720 (d) 630 (e) 810 (

**Ans :**e)

33. If the total number of hats sold by stores M and N together in July is 15% more than the total number of hats sold by the same stores together during June, what is the total number of hats sold by the same stores together during July?

(a) 1298 (b) 1316 (c) 1356 (d) 1284 (e) 1334 (

**Ans :**e)

34. Number of hats sold by store M increased by what percent from February to May?

(a) 75 (b) 55 (c) 65 (d) 70 (e) 60 (

**Ans :**c)

35. Monthly salary of Dex is 1/4th of his father's monthly salary. Dex's sister's monthly salary is 2/5th of their father's monthly salary. Dex's sister pays Rs. 12,800/- which is 1/4th of her monthly salary as study loan. Savings and expenses made out of the monthly salary, by Dex is in the respective ratio 3 : 5. How much does Dex save each month?

(a) Rs. 12,000/- (b) Rs. 10,600/- (c) Rs. 10,400/- (d) Rs. 12,600/- (e) Rs. 12,400/- (

**Ans :**a)