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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 2
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 3
A set having only one element is called
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An empty set
Universal set
A singleton set
A power set
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Question # 4
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Question # 5
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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Question # 6
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 7
The coefficient of xn in the expansion of (1-x)-1 is
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(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 8
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Question # 9
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 10
One minute is denoted by
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1
0
1'
1"
None of these
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Question # 11
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0
1
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Question # 12
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1
0
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Question # 13
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Question # 14
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 15
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 16
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Question # 17
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 18
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 19
If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is
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(2, 4)
(4, 8)
(0, 2)
(0, -2)
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Question # 20
What is the period of 5 cot x=?
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π
-π
π/2
2π
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Question # 21
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Question # 22
The multiplicative inverse of 0 is
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1
-1
0
Does not exist
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Question # 23
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An expression
Rational fraction
Equation
Identity
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Question # 24
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 25
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 26
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 27
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Question # 28
The probability to get an odd number in a dice thrown once is
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6
1
1/6
1/2
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Question # 29
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 30
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15
15 i
-15 i
-15
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Question # 31
The set (Z,+) forms a group
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Forms a group w.r.t addition
Non commutative group w.r.t multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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