ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 3/4 is ______ An odd number An even number A natural number A rational number
2 π is ______ A complex number A rational number A natural number An irrational number
3 A complex number A rational number A natural number An irrational number
4 The quadratic equation 8 sec2θ - 6 secθ +1 =0 has Infinitely many roots Exactly two roots Exactly four roots No roots
5 If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are Real and negative Non-real with negative real parts Real and positive Nothing can be said
6 if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is -i 2 + i i 2 - i
7 If the roots of ax2 + b =0 are real and distinct then ab > 0 a = 0 ab < 0 a > 0,b > 0
8 If ax + bx + c =0 is satisfied by every value of x,then b = 0,c = 0 c = 0 b = 0 a = b = c = 0
9 Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always Positive Negative Real None of these
10 The roots of (x - a)(x - b) = ab x2 are always Real Depends upon a Depends upon b Depends upon a and b
11 Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then α = β αβ = 1 α = β α = 1
12 Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if c = 0 c = 0,b≠ 0 b = 0,c = 0 b = 0,c≠ 0
13 The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is a > 0 a < 0 a≠ 0 a≠ 0,b ≠ 0
14 The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is 2 x 3 3 x 2 2 x 5 5 x 2
15 If for the matrix A,A5 = 1,then A-1= A2 A3 A None of above
16 For a square matrix A, if A = At, then A is called Matrix Transpose Symmetric Non-symmetric
17 If A = |aij| is (m x n) matrix then transpose of A is of the order m x m m x n n x n n x m
18 We solve the system of non-homogeneous linear equations by a and b b and c c and a a,b and c
19 Trival solution of homogeneous linear equation is (0, 0, 0) (1, 2, 3) (1, 3, 5) a.b and c
20 For non-trival solution |A| is non zero A = 0 |A| = 0 At = 0
21 For trival solution |A| is A |A| = 0 A = 0 |A|≠ 0
22 System of linear equation is inconsistent if System has no solution System has one solution System has two solution None of above
23 An equation of the form ax + by = k is homogeneous linear equation when b = 0, a = 0 a = 0,b ≠ 0 b = -0,a≠ 0 a≠ 0,b≠ 0, k = 0
24 The matrix A is Hermitian when (A)' = A -A A A'
25 The square matrix A is skew Hermitian when (A)'= A A' -A A
26 The square matrix A is skew-symmetric when At = -B -C -A -D
27 A square matrix A = [aij] is upper triangular when cij = 0 bij = 0 aij = 0 for all i > j dij = 0
28 A square matrix A = [aij] is lower triangular matrix when aij = 0 for all i<j bij = 0 cij = 0 dij = 0
29 Cofactor of an element aij denoted by Aij is (-2)i+j Mij (-1)i+j Mij None of above
30 Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for BA A2 AB B2
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