Q1.
If A = {x : x2 - 3x + 2 = 0}
B = {x : x2 + 4x - 12 = 0} then B - A is equal to
(a) {2,6}
(b) {1,2} (c) {-6} (d) {2}
Solution.
(c) {-6}
Solution
Q2.
If x = logθ , y = eθ, find dy/dx
(a) eθ (b) θ.eθ (c) θ
(d) 1
Solution.
(b) θ.eθ
Solution
Q3.
The volume of a sphere is increasing at the rate of 8 cm3/s . find the rate at which its surface area is increasing when the radius
of the sphere is 16 cm.
(a) 1cm2/sec (b) 2cm2/sec (c) 3cm2/sec (d) 4cm2/sec
Solution.
1cm2/sec
Solution
Q4.
Which one is incorrect .
(a) (A + B)' = B' + A'
(b) (A')' = A
(c) I2 = I
(d) (AB)' = A'B'
Solution.
(d) (AB)' = A'B'
Solution
Q5.
If a matrix has 7 elements then write all possible orders it can have
(a) (7 x 1)(1 x 7) (b) (1 x 7) (c) (7 x 1)
(d) (7 x 7)
Solution.
(a) (7 x 1)(1 x 7)
Solution
Q6.
If IAI = 0 , then the value A-1 is
(a) 0 (b) not exist (c) 2 (d) A
Solution.
(b) not exist
Solution
Q7.
If A is square matrix of order (2 x 2) then find the value of k if I2AI = kIAI
(a) 1 (b) 2 (c) 4 (d) 8
Solution.
(c) 4
Solution
Q8.
If b2 - 4ac (Discriminant) is a perfect square but not equal to zero, than the roots are:
(a) Imaginary
(b) real equal
(c) real irrational and equal.
(d) real, rational and unequal.
Solution.
(d) real, rational and unequal.
Solution
Q9.
If the sum of n terms of an A.P is (3n2 - n) and its common difference is 4, then its first term is :
(a) 2 (b) 3 (c) 4 (d) 5
Solution.
(a) 2
Solution
Q10.
If 2log1010 + log(5x + 1) = log(x + 5) + 2
Find the value of x .
(a) 3 (b) 2 (c) 1 (d) 4
Solution.
(c) 1
Solution
