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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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A positive integer
A negative integer
A natural number
An irrational number
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Question # 2
The complement of set A relative to universal set U is the set
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Question # 3
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 4
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 5
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
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4
3
2
1
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Question # 6
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 7
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 8
Gooch crucible is made of :
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Brass.
Porcelain.
Bronze.
Gold.
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Question # 9
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Question # 10
The area enclosed between the graph y = x
2
-4x and the x- axis is:
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20/3
41/3
32/3
25/3
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Question # 11
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2
-2
none of these
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Question # 12
If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
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1
4
2
8
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Question # 13
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Rule of quotient of fraction
Golden rule of fraction
Rule for product of fraction
Principle for equality of fraction
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Question # 14
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 15
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 16
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
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3
-4
7
1
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Question # 17
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G.P
H.P.
A.P.
No particular sequence
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Question # 18
A right angle is the angle of measure
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90'
60°
60"
90°
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Question # 19
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Question # 20
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 21
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 22
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Question # 23
If Z = (1,2), then Z
-1
=?
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(0.2, 0.4)
(-0.2 ,0.4)
(0.2,-0.4)
(-0.2,-0.4)
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Question # 24
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Question # 25
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 26
The difference of two consecutive terms of an A.P is called the
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Common difference
Common ratio
Geometric series
Geometric mean
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Question # 27
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2
0
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Question # 28
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 29
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 30
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 31
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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