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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Three right angles is the angle of measure
Choose an answer
270°
180°
90°
270'
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Question # 2
A function from A to B is denoted by
Choose an answer
f: A→ B
f: B → A
f: → A :B
f → A→ B
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Question # 3
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 4
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
Choose an answer
α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 5
If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 6
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
Choose an answer
0
7
-7
5
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Question # 7
y=-a is the equation of the directrix of
Choose an answer
y2 =4ax
x2=-4ay
x2=4ay
y2=-4ax
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Question # 8
Cot 45° = ______
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Question # 9
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Question # 10
How many necklaces can be made from 6 beads of different colours?
Choose an answer
120
60
24
15
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Question # 11
One minute is denoted by
Choose an answer
1
0
1'
1"
None of these
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Question # 12
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
Choose an answer
32
31
64
1024
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Question # 13
Which shape of the following objects are approximately parabolic ares?
Choose an answer
Light reflectors
Force
Weight of the pendul
None of these
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Question # 14
Choose an answer
Rational
Irrational
Non-real
Zero
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Question # 15
∫Sec
2
(ax + b) dx is equal to:
Choose an answer
tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 16
If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is
Choose an answer
8
12
10
14
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Question # 17
A non-terminating, non-recurring decimal represent
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A natural number
A rational number
An irrational number
A prime number
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Question # 18
If A is a non singular matrix then A
-1
= ______
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Question # 19
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Rational
Irrational
Even
Odd
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Question # 20
22.5°=______
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Question # 21
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Question # 22
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Question # 23
The identity element with respect to subtraction is
Choose an answer
0
1
-1
Does not exist
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Question # 24
The statement that a group can have more than one identity elements is
Choose an answer
True
False
Fallacious
Some times true
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Question # 25
Choose an answer
none of these
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Question # 26
Choose an answer
G.P
H.P.
A.P.
No particular sequence
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Question # 27
If n(A) = n then n(P(A)) is
Choose an answer
2n
n
2
n/2
2
n
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Question # 28
The roots of the equation x2 +6x-7=0,are
Choose an answer
1
2
1 and -7
-7
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Question # 29
Choose an answer
none of these
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Question # 30
A circle drawn inside a triangle and touching its sides is called
Choose an answer
In-circle
Circum circle
Escribed circle
None of these
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Question # 31
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
Choose an answer
8
15
-6
None
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