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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If y=sin(ax+b) then y4=________:
Choose an answer
sin4(ax+b)
a4sin(ax+b)
a4cos(ax+b)
None of these
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Question # 2
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Question # 3
E-radius corresponding to < B is
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Question # 4
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 # 5
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 6
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
Choose an answer
3 / 17
5 / 17
7 / 17
9 / 17
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Question # 7
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 8
Optimal solution is found by evaluation the objective function at
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All point of feasible region
Corner point
Origin
None
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Question # 9
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 10
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Question # 11
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 12
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 # 13
Choose an answer
A
B
A'B'
B'A
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Question # 14
The root of the quadratic equation are
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3
2
1
4
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Question # 15
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 16
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 17
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 18
If #n = (n-5)2 + 5, then find #3 x #4.
Choose an answer
54
12
4
9
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Question # 19
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
Choose an answer
7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 20
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 21
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 22
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 23
sin2 π/6 + sin2 π/3 + tan2 π/4 =______;
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1
2
3
4
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Question # 24
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Rational
Irrational
Non-real
Zero
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Question # 25
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 26
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 27
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Question # 28
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 29
Choose an answer
none of these
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Question # 30
(0.90)
1/2
is equal to
Choose an answer
0.99
0.90
0.80
0.88
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Question # 31
1 radian = ______
Choose an answer
180°
90°
57.296°
60°
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