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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
Choose an answer
2 AB
2 BA
A + B
AB
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Question # 2
The equation of the directrix of the parabola x
2
= 4ay is
Choose an answer
x + a = 0
x - a = 0
y + a = 0
y - a = 0
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Question # 3
If y = sin (ax + b), then fourth derivative of y with respect to x =
Choose an answer
a
4
cos (ax + b)
a
4
sin (ax + b)
-a
4
sin (ax + b)
a
4
tan (ax + b)
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Question # 4
The identity element of a set X with respect to intersection in P(x) is
Choose an answer
X
Does not exist
∅
None of these
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Question # 5
Choose an answer
I3
rI3
r
none
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Question # 6
If f(x) = x
2
then f(2) is
Choose an answer
-2
2
4
-4
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Question # 7
Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0
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(1,0)
(0,4)
(3,0)
(8,0)
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Question # 8
cos
θ/2=
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Question # 9
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Question # 10
If a (p + q)
2
+ bpq +c = 0 and a (p + r)
2
+ 2 bpr + c = 0, then qr equals
Choose an answer
p
2
+ c/a
p
2
+ a/c
p
2
+ c/a
p
2
- c/a
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Question # 11
Inverse of the function y-10x is
Choose an answer
y=logx
y=lnx
x=10y
x=10y
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Question # 12
Power set of difference set N-W is
Choose an answer
Empty set
Infinite set
Singleton set
{0,∅}
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Question # 13
Find the geometric mean between 4 and 16
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Question # 14
Choose an answer
[0,1[
[0, 1]
]0, 1[
None of these
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Question # 15
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 16
The sum of coefficients in the binomial expansion equals to
Choose an answer
2
2
n+1
2
n-1
2
n
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Question # 17
There is no integer n for which 3
n
is
Choose an answer
Odd
even
Natural
Prime
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Question # 18
Choose an answer
K/6
2K
3K
6K
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Question # 19
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Question # 20
w
-1
= ______
Choose an answer
0
1
w
w
2
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Question # 21
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Question # 22
The distance between the points (0 , 0) and (1, 2) is
Choose an answer
5
0
3
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Question # 23
Choose an answer
5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 24
Choose an answer
None of these
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Question # 25
The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is
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Question # 26
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Question # 27
A stationary point x is a relative exterma of y= f(x) is
Choose an answer
f′′ (x) > 0
f′′ (x) < 0
f′′ (x) ≠ 0
f′′(x) = 0
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Question # 28
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
Choose an answer
(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 29
Choose an answer
1
0
5
2
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Question # 30
Choose an answer
tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 31
A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?
Choose an answer
460
495
272
60
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