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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A set having only one element is called
Choose an answer
An empty set
Universal set
A singleton set
A power set
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Question # 2
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 3
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Question # 4
There are ______ types of rational fraction
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Three
Four
Five
Two
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Question # 5
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 6
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 7
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 8
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
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1 / 10
2 / 10
3 / 10
4 / 10
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Question # 9
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 10
Choose an answer
none of these
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Question # 11
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 12
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 13
The equation of the parabola with directirx x = 2 and the axis y = 0 is
Choose an answer
y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 14
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
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12
8
24
-24
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Question # 15
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Question # 16
Choose an answer
none of these
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Question # 17
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Question # 18
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 19
Choose an answer
120
5
4
6
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Question # 20
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 21
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Question # 22
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sin h x
cos h x
sec h x
cosec h x
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Question # 23
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 24
Sin 90° = ______
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-1
0
1
Undefined
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Question # 25
The 60th part of one minute is called
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Degree
Second
Radiam
None of these
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Question # 26
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 27
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 28
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 29
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0
1
2
4
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Question # 30
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 31
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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