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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If A is a non singular matrix then A
-1
= ______
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Question # 2
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 3
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 4
w
73
= ______
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0
1
w
w
2
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Question # 5
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 6
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Question # 7
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
Choose an answer
2
9
2
10
2
11
2
8
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Question # 8
Period of sin x is
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Question # 9
Cos 0° = ______
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-1
0
1
Undefined
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Question # 10
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Question # 11
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Question # 12
Domain of sin
θ
is
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Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
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Question # 13
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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Question # 14
The third term in the expansion of (1+2x) is
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-2x2
-4x2
2x2
4x2
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Question # 15
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
Choose an answer
Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 16
Choose an answer
a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 17
Choose an answer
-1
0
1
Undefined
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Question # 18
1 + 2 + 3 + ...... + n = ______
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Question # 19
Any horizontal line divided the plane into
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Left half plane
Upper and lower half planes
Infinite number of horizontal liens
None of these
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Question # 20
The period of cot 8x is
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π/10
9π/7
π/9
π/8
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Question # 21
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 # 22
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 23
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 24
For all points (x,y) in second quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 25
All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is
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NAAGI
NAAIG
IAANG
INAGA
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Question # 26
The proposition S(n) is true∀n∈N,S(k+1) true when ______is true
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S(1)
Both a & c
S(k)
None
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Question # 27
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 28
an -an-1,∀n∈N∧n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 29
Choose an answer
Even
Odd
Prime
None of these
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Question # 30
Cos-1 (-x) =
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-x
1/x
tan-1 x
π-cos-1 x
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Question # 31
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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