Pages: 95 (12568 words) Published: February 22, 2013
Section – I : Quantitative Techniques & Data Interpretation 5
th of Vinod’s salary and Vinod’s salary is 25% less than Pradeep’s salary. If 6
Pradeep’s salary is `24,000, then what is the salary of Sameer? (a) `30,000
(b) `20,000
(c) `15,000
(d) `28,000

1.

Sameer’s salary is

2.

The range of values of x for
(a) x  [1, 2]  [3, )

x2
0
x²  4x  3

(b)

x  [1 2)  [3, )
,

(c) x  (1, 2)  (3, )

(d) None of these

3.

Find the principal, if the difference between the simple interest and the compound interest is `120 at the end of 2 years at 20% rate of interest per annum.
(a) `2,500
(b) `3,000
(c) `3,500
(d) `4,000

4.

If the first term of an arithmetic progression is 7 and the common difference is 0.6, then what is the sum of the first 12 terms of the arithmetic progression?
(a) 123.6
(b) 121.4
(c) 133.6
(d) 131.4

5.

Stations A and B are 1200 km apart. The ratio of the speeds of Harish and Sunil is 3 : 2. If Harish and Sunil start from stations A and B respectively and meet for the first time at a point C, then what is the distance between the point C and the station B?

(a) 240 km
(b) 360 km
(c) 480 km
(d) 720 km

6.

A sphere of radius ‘r’ is melted to form a cone of the same radius. What is the ratio of the total surface area of the sphere to that of the cone?
(a) 4 : ( 17  1)

(b) 4 : ( 17 – 1)

(c) 4 : ( 5  1)

(d) 4 : ( 5 – 1)

7.

A and B invested `6,000 and `9,000 respectively in a business. After 7 months, B withdrew from the business. If at the end of the year, the total profit was `4,500, then how much did B get? (a) `2,100

(b) `2,400
(c) `1,800
(d) `2,700

8.

Pure spirit costs `100 per liter. If 90% spirit solution is mixed with 60% spirit solution, Shyam makes a profit of 25% by selling the mixture at `100 per liter. In what ratio does he mix the two? (a) 2 : 1

(b) 1 : 2
(c) 1 : 3
(d) 3 : 1

9.

A and B together can complete a piece of work in 12 days. A and C together can complete the work in 20 days. If three of them together can complete the work in 8 days, then in how many days can A alone complete the work?

(a) 24

Mock - 1

(b) 13

1
3

(c) 120

CMAT

(d) 60

Page 1

10.

A mason used to earn `180 on Saturdays, `210 on Sundays and a fixed amount on the remaining five days of the weeks in a particular year. If the average income of the mason in the month of April, whose first day was Sunday, was `164, then what was the fixed amount (in `) he used to earn on the remaining five days of the weeks? (Assume that the mason worked on all the 30 days of the month).

(a) 140
(b) 150
(c) 165
(d) 170

11.

The ratio of the present age of a mother to that of her daughter is 9 : 4. Ten years ago, the ratio of their ages was 7 : 2. What are their present ages?
(a) 54 years, 24 years
(b) 45 years, 20 years
(c) 54 years, 28 years
(d) 36 years, 16 years

12.

In the following figure, if  BCA = 50° and  BGE = 95°, then what is the value of  EDF? E

B
G

A

D

(a) 45°

C

F
(b) 40°

(c) 35°

(d) 30°

13.

There are 7 objective type questions in an examination. First four questions have 4 options each and the remaining 3 questions have 5 options each. How many sequences of answers are possible? (a) 675000

(b) 135000
(c) 32000
(d) 16000

14.

If 3 dice are thrown simultaneously, then what is the probability that the same number appears on each of them?
(a)

15.

1
216

(b)

1
18

(c)

1
27

(d)

1
36

The table given below shows the number of students in five management institutes in five different disciplines.

Discipline
HR
Marketing
Operations
Finance
Others

A
46
78
34
65
62

Management Institutes
B
C
D
49
54
38
85
70
66
28
42
18
75
58
52
77
55
88

E
63
73
24
48
74

What is the ratio of the total number of students in institute C to the total number of students in institute E in all the...