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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
-1
0
2
1
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Question # 2
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none of these
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Question # 3
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Question # 4
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Question # 5
Which of the following is a vector.
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work
time
density
electric field
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Question # 6
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
Choose an answer
2
1
-1
-2
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Question # 7
The equation of the chord of the circle x
2
+ y
2
- 4x = 0 whose mid-point is (1, 0) is
Choose an answer
y = 2
y = 1
x = 2
x = 1
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Question # 8
The coefficient of x
18
in (ax
4
-bx)
9
after expansion is
Choose an answer
84a
3
b
6
22a
3
b
6
27a
4
b
5
28a
3
b
6
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Question # 9
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Question # 10
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-cosec
2
x
-sec
2
x
- cosec x cot x
cosec x
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Question # 11
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Question # 12
5th term of a G.P. is 2, then the product of first 9 terms is
Choose an answer
256
128
512
None of these
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Question # 13
Sin
-1
(-x)=
Choose an answer
Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 14
The multiplicative inverse of 2/3 is
Choose an answer
3/2
-2/3
-3/2
1
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Question # 15
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 16
csc(-Ï€/2) = __________;
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0
1
-1
Undefined
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Question # 17
The identity element with respect to subtraction is
Choose an answer
0
1
-1
Does not exist
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Question # 18
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Question # 19
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Question # 20
1st four terms of the expansion (1-x)
-2
are
Choose an answer
1 + 2x + 3x
2
+ 4x
3
3x
2
+ 2x + 1
1 + 3x + 4x
2
+ 5x
3
None of these
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Question # 21
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 22
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Question # 23
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 24
Choose an answer
none of these
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Question # 25
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 26
The slope of y-axis is
Choose an answer
0
undefined
1
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Question # 27
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Question # 28
The point ________ is in the solution of the inequality 4x - 3y < 2
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(0,1)
(2,1)
(2,2)
(3,3)
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Question # 29
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Question # 30
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0
undefined
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Question # 31
For each even natural number n (n
2
-1) is divisible by
Choose an answer
6
3
4
8
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