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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
∀x,y∈R and x> 0 , y>0, if x > y
Choose an answer
None of these
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Question # 2
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 3
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 # 4
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 5
Choose an answer
an A.P.
a G.P.
a H.P.
None of these
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Question # 6
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 7
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Question # 8
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 9
Choose an answer
405 / 256
504 / 259
450 / 263
None
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Question # 10
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 # 11
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 12
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
Choose an answer
-i
2 + i
i
2 - i
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Question # 13
Choose an answer
Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 14
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Question # 15
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 16
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2
-2
none of these
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Question # 17
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 18
The roots of the equation 4x - 3.2x+2 + 32 = 0 would include
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1 and 3
1 and 4
1 and 2
2 and 3
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Question # 19
The sum of the roots of the equation x2 -6x +2 = 0 is
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-6
2
-2
6
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Question # 20
Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is
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Question # 21
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 22
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 23
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 24
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 25
Arithmetic mean between a and b is
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Question # 26
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 27
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 28
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 29
The set {x|x∈N∧x-4=0} in tabular form is
Choose an answer
{-4}
{0}
{}
None of these
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Question # 30
Choose an answer
8
4
64
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Question # 31
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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