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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 2
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 3
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 4
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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Question # 5
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 6
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Y = -x log x -x + c
Y = x log x + x
Y = x log x - x + c
None of these
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Question # 7
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Question # 8
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 9
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 10
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An empty set
Universal set
A singleton set
None of these
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Question # 11
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 12
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Question # 13
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 14
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 15
The solution set of the equation 1 + Cos x = 0 is __________
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none of these
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Question # 16
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16
None of these
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Question # 17
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-cosec
2
x
-sec
2
x
- cosec x cot x
cosec x
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Question # 18
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Question # 19
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 20
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 21
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 # 22
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56
7
8
8/7
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Question # 23
QUQ, =
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N
R
W
Z
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Question # 24
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 25
If z
1
=ā-36 ,z
2
=ā-25,z3 =ā-16 then
Choose an answer
15
15i
-15i
-15
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Question # 26
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Question # 27
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Question # 28
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 29
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 30
Choose an answer
(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 31
for nā¬ N, 3
2n + 7 is divisible by
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7
8
9
10
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