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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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1
-1
0
None of these
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Question # 3
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 4
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 5
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 6
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 7
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Question # 8
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1
7
4
None of these
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Question # 9
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 10
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 11
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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Question # 12
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1.5
1.2
8
None of these
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Question # 13
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a = a
a < a
a > a
a
2
= a
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Question # 14
Some of two real numbers is also a real number , this property is called:
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Commutative property w.r.t addition
Closure property w.r.t. addition
Associative property w.r.t. addition
Distributive property w.r.t addition
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Question # 15
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 16
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 17
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Question # 18
The roots of (x - a)(x - b) = ab x2 are always
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Real
Depends upon a
Depends upon b
Depends upon a and b
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Question # 19
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 20
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Question # 21
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 22
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Question # 23
x = _________ is in the solution of 2x + 3 < 0
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0
2
-1
-2
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Question # 24
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 25
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 26
(1 + 2x)
4
= ______
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1 + 4x + 6x
2
+ 4x
3
+ x
4
1 - 4x + 6x
2
- 4x
3
+ x
4
1 - 8x + 24x
2
- 32x
3
+ 16x
4
1 + 8x+ 24x
2
+ 32x
3
+ 16x
4
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Question # 27
1.4142135... is ______
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A natural number
A rational number
A prime number
An irrational number
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Question # 28
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 29
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 30
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Question # 31
Q∪ Q' =
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Q
Q'
N
R
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