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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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(x, y)
(kx, y)
(x, ky)
(kx, ky)
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Question # 4
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 5
If the trace of matrix A is 5, then the trace of the matrix 3A is
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3/5
5/3
8
15
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Question # 6
The maximum value of sin x + cos x is
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Question # 7
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Question # 8
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 9
Number of selections of n different things out of n
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1
nPr
n!
nPr
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Question # 10
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6
20
0
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Question # 11
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An empty set
Universal set
A singleton set
None of these
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Question # 12
i
=
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√1
√2
√-2
√-1
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Question # 13
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 14
3/2 is
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An irrational number
Whole number
A positive integer
A rational number
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Question # 15
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Question # 16
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-8
8
8i
32
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Question # 17
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8
4
64
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Question # 18
If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be
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Improper subset of B
Super set of B
Proper subset of B
None of these
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Question # 19
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Question # 20
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Question # 21
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 22
For f(x) = x
2
+ px +1, if f(3) = 3 then P =
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3/7
-2/5
-7/5
-7/3
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Question # 23
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Question # 24
The point (1,3) is one solution of
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3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 25
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 26
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 27
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
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4
6
8
10
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Question # 28
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 29
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 30
Range of y = sec x is
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-1≤ y≤ 1
y≥ 1 or y≤ -1
y≤ 1or y≥ -1
-∞ < y < +∞
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Question # 31
(2.02)4 s equal to
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16
16.6496
17
18
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