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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The factorial of a positive integers is a (an)
Choose an answer
Rational number
Positive integer
Real number
None
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Question # 2
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 3
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
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8
6
4
None of these
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Question # 4
The sum if 1,3,5,7,9........ up to 20 terms is
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400
472
563
264
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Question # 5
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Question # 6
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 7
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 # 8
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Question # 9
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 10
The distance of the point (-2 , -3) from y-axis is
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2
-2
3
-3
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Question # 11
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a = 2, b = 3
a = 3, b = 2
a = 2, b = 1, 2
a = 3, b = 3
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Question # 12
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Question # 13
E-radius corresponding to < A is
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Question # 14
A function f is said to be an even if f(-x) =
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0
1
f(x)
-f(x)
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Question # 15
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Question # 16
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Question # 17
The general term of a sequence is denoted by
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a
1
a
n
n
s
n
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Question # 18
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Question # 19
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Addition
Subtraction
Multiplication
None of these
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Question # 20
Unit vector in the positive direction of x-axis is
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Question # 21
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Question # 22
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 23
What is the period of cos 6x =?
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π/2
π/3
π/4
π
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Question # 24
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
Choose an answer
n!
ann!
0
an
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Question # 25
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 26
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Question # 27
(a,0) x (c, 0) =
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(0,ac)
(ac, 0)
(0,0)
(a, c)
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Question # 28
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
Choose an answer
1594
792
924
2924
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Question # 29
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 30
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Question # 31
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
Choose an answer
d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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