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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 2
The roots of (b-c)x2+(c-a) x+a-b=0 are equal if
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2b = a+c
2a = b+c
2c = a+b
a + b + c =0
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Question # 3
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 4
Write down the power set of {9, 11}
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Question # 5
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 6
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 7
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0
-1-w
2
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Question # 8
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 9
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Question # 10
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 11
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Question # 12
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplicative identity
Associative law of multiplication
Multiplicative inverse
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Question # 13
i
2
=
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1
2
-1
0
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Question # 14
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 15
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 16
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 17
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 18
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 19
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8
9
10
11
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Question # 20
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 21
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 22
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cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 23
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 24
Sin
-1
(-x)=
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Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 25
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 26
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
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2 mn
1/2 mn
mn
mn
2
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Question # 27
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 28
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Question # 29
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 30
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Question # 31
(a-1)-1 =
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a-1
a
-a
None of above
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