# QUANTITATIVE APTITUDE

DIRECTIONS (Q. 1-5) : In each of the following questions, a question is followed by information given in three Statements I, II and III. You have to study the question along with the statements and decide the information given in which of the statement(s) is necessary to answer the question.

1. In how many days 10 women can finish the work?
I. 10 men finish the work in 6 days.
II. 10 women and 10 men finish the work in 337 days.
III. If 10 men work 3 days and after that 10 women are deployed to work for men, the rest work is finished in 4 days.
(a) I and II (b) Any two of three
(c) I and III (d) II and III
(e) None of these

2. What is the present age of Sabir?
I. The present age of Sabir is half of his father’s age.
II. After five years the ratio of ages of Sabir and his father is 6 : 11.
III. Sabir is younger to his brother by five years.
(a) I and II (b) I and III
(c) II and III (d) All of these
(e) Cannot be determined

3. What is two digit number?
I. The difference between the number and the number
formed by interchanging the digit is 27.
II. The difference between two digits is 3.
III. The digit at unit’s place is less than that at ten place by 3.
(a) I and II (b) I and either II or III
(c) I and III (d) All of these
(e) None of these

4. What is the rate of interest Percent per annum?
I. An amount doubles itself in 5 yr on simple interest;
II. Difference between the compound interest and the simple interest earned on a certain amount in two years is 400.
III. Simple interest earned per annum is 2000.
(a) Only I (b) II and III
(c) Any two of three (d) I or II and III
(e) Only I or II and III

5. What is the cost of flooring the rectangular hall?
I. Length and the breadth of the hall are in the ratio of 3 : 2
II. Length of the hall is 48 m and cost of flooring is 850 per sq m.
III. Perimeter of the hall is 160 m and cost of flooring is 850 per sq m.
(a) I and II (b) I and III
(c) Only III (d) I and either II or III
(e) Any two of the three

6. If the numerator of a fraction is increased by 20% and the denominator is increased by 25%, the fraction obtained is 3/5 . What was the original fraction?

(a) 5/7

(b) 4/7

(c) 3/8

(d) Cannot be determined

(e) None of these

7. If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number?
(a) 36 (b) 63
(c) 48 (d) Cannot be determined
(e) None of these

8. One of the angles of a quadrilateral is thrice the smaller angle of a parallelogram. The respective ratio between the adjacent angles of the parallelogram is 4:5. Remaining three angles of the quadrilateral are in ratio 4 : 11: 9 respectively. What is the sum of the largest and the smallest angles of the quadrilateral?
(a) 255° (b) 260°
(c) 265° (d) 270°
(e) None of these

9. An aeroplane flies with an average speed of 756 km/h. A helicopter takes 48 h to cover twice the distance covered by aeroplane in 9 h. How much distance will the helicopter cover in 18 h? (Assuming that flights are non-stop and moving with uniform speed.)
(a) 5010 km (b) 4875 km
(c) 5760 km (d) 5103 km
(e) None of these

DIRECTIONS (Q. 10-14) : Study the following table carefully and answer the question given below.

Number of People taking Fresh Loans from Different Banks over the Year and the Percentage of Defaulters Amongst

them each Year
P       Q         R        S         T
2004 27361 26345 25467 28246 30164
2005 32081 27456 32461 29435 35128
2006 25361 28637 32652 29565 32443
2007 23654 29045 32561 28314 36152
2008 36125 30467 25495 23764 35463
2009 35465 31963 27649 24356 33214
2010 34135 31974 28283 26553 31264

Approximate Percentage of Defaulters Among them Bank

Year    P Q  R  S   T
2004 12 9 15 13 19
2005 24 8 17 20 23
2006 22 13 16 21 25
2007 18 11 18 22 19
2008 12 10 13 23 18
2009 11 20 11 22 21
2010 9 21 1.2 21 23

10. Approximately how many people taking a loan from Bank S in the year 2006 were defaulters?
(a) 6490 (b) 6210
(c) 5020 (d) 6550
(e) 5580

11. Approximately what was the difference between the number of defaulters of Bank Q in the year 2004 and 2005?
(a) 175 (b) 125
(c) 190 (d) 205
(e) 140

12. In which of the following years was the number of defaulters of Bank R, the maximum among the given years?
(a) 2005 (b) 2006
(c) 2007 (d) 2010
(e) None of these

13. In which of the following years was the difference in number of people taking loan from Bank P from the previous year the highest?
(a) 2008 (b) 2006
(c) 2007 (d) 2005
(e) None of these

14. Approximately what was the total number of defaulters of Bank T in the years 2007 and 2008 together?
(a) 14110 (b) 13620
(c) 13250 (d) 14670
(e) 15330 DIRECTIONS (Q. 15-19) : In the following number series, a wrong number is given. Find out the wrong number.

15. 29, 37, 21, 43 ,13, 53, 5
(a) 37 (b) 53 (c) 13 (d) 21 (e) 43

16. 600, 125, 30, 13, 7.2, 6.44, 6.288
(a) 6 (b) 10 (c) 15 (d) 12
(e) None of these

17. 80, 42, 24, 13.5, 8.75, 6.375, 5.1875
(a) 8.75 (b) 13.5 (c) 24 (d) 6.375 (e) 42

18. 10, 8, 13, 35, 135, 671, 4007
(a) 8 (b) 671 (c) 135 (d) 13 (e) 35

19. 150, 290, 560, 1120, 2140, 4230, 8400
(a) 2140 (b) 560 (c) 1120 (d) 4230 (e) 290

DIRECTIONS (Q. 20-24) : Study the following information carefully to answer the questions that follow.

There are two trains A and B. Both trains have four different types of coaches viz. General coaches, sleeper coaches, first class coaches and AC coaches. In train A, there are total 700 passengers. Train B has 30% more passengers than train A. 20% of the passengers of train A are in general coaches. One-fourth of the total number of passengers of train A are in AC coaches. 23% of the passengers of train A are in sleeper class coaches. Remaining passengers of train A are in first class coaches. Total number of passengers in AC coaches in both the trains together is 480. 30% of the number of passengers of train B is in sleeper class coaches, 10% of the total passengers of train B are in first class coaches. Remaining passengers of train B are in general class coaches.

20. What is the ratio of the number of passengers in first class coaches of train A to the number of passengers in sleeper class coaches of train B?
(a) 13 : 7 (b) 7 : 13
(c) 32 : 39 (d) Data inadequate
(e) None of these

21. What is the total number of passengers in the general coaches of train A and the AC coaches of train B together?
(a) 449 (b) 459
(c) 435 (d) 445
(e) None of these

22. What is the difference between the number of passengers in the AC coaches of train A and total number of passengers in sleeper class coaches and first class coaches together of train B?
(a) 199 (b) 178
(c) 187 (d) 179
(e) None of these

23. Total number of passengers in general class coaches in both the trains together is approximately. What percentage of total number of passengers in train B?
(a) 35 (b) 42
(c) 45 (d) 38
(e) 31

24. If cost of per ticket of first class coach ticket is Rs. 450, what total amount will be generated from first class coaches of train A?
(a) Rs. 100080 (b) Rs. 108000
(c) Rs. 100800 (d) Rs. 10800
(e) None of these