Question 1
If A = {1, 2, 3}, B = {2, 3, 4}, then A ∩ B is

a.1, 2, 3

b.2, 3, 4

c.2, 3

d.3, 4

Question 2
In a class of 45 students, 22 can speak in Hindi only and 12 can speak in English only. How many students can speak both Hindi and English?

a.11

b.12

c.21

d.22

Question 3
The solution of | x – 3 | = 8 is equal to

a.(5, 11)

b.(-5, 11)

c.(5, -11)

d.(-5, -11)

Question 4
If α and β are the roots of x2 – 6x + 6 = 0, then α2 + β2 = ?

a.12

b.18

c.24

d.32

e.36

Question 5
If 2x + y = 5, 3x – 4y = 2, then the value of 2xy is

a.2

b.4

c.6

d.8

Question 6
How many words can be formed by using all the letters of the word ‘TIGER’?

a.30

b.60

c.120

d.240

Question 7
Evaluate log3 243.

a.2

b.3

c.4

d.5

Question 8
Find the sum of the series 3, 6, 9, 12, … upto 10 terms.

a.150

b.155

c.160

d.165

Question 9
Find the value of a, b, c and d form the following equation:

a. a = 1, b = 2, c = 3, d = 4

b. a = 4, b = 3, c = 2, d = 1

c. a = 1, b = 3, c = 2, d = 4

d. a = 1, b = 2, c = 4, d = 3

Question 10
Evaluate the determinant.

a.26

b.36

c.46

d.56

Question 11
In a right triangle ABC, right-angled at B, if tan A = 1, then find the value of 2 sin A cos A.

a.1

b.2

c.3

d.4

Question 12
sec A (1 – sin A)(sec A + tan A) = ?

a.4

b.3

c.2

d.1

Question 13
Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.

a.1

b.3

c.5

d.6

Question 14
The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are

a.Perpendicular

b.Parallel

c.intersect y-axis

d.none of the above

Question 15
A bag contains 5 red balls and 4 green balls. 2 balls are drawn at random. What is the probability that both balls are same in color?

a.2/9

b.3/9

c.4/9

d.5/9

Question 16
Evaluate:

a.1

b.-1

c.2

d.-2

Question 17
Evaluate:

a.-1

b.-2

c.-3

d.-4

Question 18
What is the order of the differential equation given below?

a.1

b.2

c.3

d.Not defined

Question 19
The total revenue in Rupees received from the sale of x units of a product is given by

R(x) = 13×2 + 26x + 15

Find the marginal revenue when x = 7.

a.Rs. 108

b.Rs. 208

c.Rs. 116

d.Rs. 216

Question 20
What will be the result of the following integration?

∫ sec x(sec x + tanx)dx

a.tanx + secx + C

b.tanx + secx – C

c.tanx – secx + C

d.tanx – secx – C