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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 4
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 5
A and B be two square matrices and if their inverse exist the (AB)-1 =
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A-1 B-1
AB-1
A-1B
B-1A-1
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Question # 6
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 7
Period of 3 sin x is ______
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Question # 8
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 9
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 10
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1
0
3
-3
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Question # 11
If n is any positive integer then n! > n
2
for
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Question # 12
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 13
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 14
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Question # 15
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 16
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Question # 17
The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is
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1/5
1/4
1/3
1/2
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Question # 18
Which of the following is skew symmetric matrix
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Question # 19
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Question # 20
Name the property used in 1000 x 1 = 1000
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additive inverse
multiplicative inverse
additive identity
multiplicative identity
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Question # 21
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 22
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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Question # 23
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 24
A fraction in which the degree of the numerator is less the degree of the denominator is called
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Polynomial
Proper fraction
Rational fraction
None
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Question # 25
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Question # 26
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Question # 27
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 28
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of these
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Question # 29
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 30
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Question # 31
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