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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
none of these
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Question # 2
PQ is a post of given height a, and AB is a tower at some distance;
α
and
β
are the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are
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Question # 3
How many arrangements of the letters of the word ADDING can be made
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Question # 4
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 5
The set (Q, .)
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Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
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Question # 6
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 7
The law of sines can be used to solve oblique triangle when following information is given:
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Two angles and a side
Two sides and an angle opposite one of the given sides
Two sides and the angle between two sided
Option a and b
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Question # 8
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 9
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 10
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Question # 11
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 12
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Question # 13
No term of a harmonic sequence can be
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0
1
2
3
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Question # 14
√-1 b=
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b
2
2b
None of these
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Question # 15
The no of term is the expansion of (a+x)n-1 is
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n+1
n-1
n
n-2
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Question # 16
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2x + 2y
4 - x
2
-x/y
x/y
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Question # 17
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Question # 18
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 19
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 20
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 21
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4
6
8
10
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Question # 22
The extraction of cube root of a given number is a
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Unary Operation
Binary Operation
Relation
None of these
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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
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 25
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sec 3x + c
- cosec 3x + c
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Question # 26
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 27
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 28
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 29
The general equation of a circle is
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Question # 30
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 31
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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