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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 2
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none of these
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Question # 3
Name the property used in a (b-c) = ab - ac
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commutative property of multiplication
distributive property of multiplication
associative property of multiplication
multiplicative inverse
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Question # 4
What is the period of 5 cot x=?
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π
-π
π/2
2π
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Question # 5
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a constant function
linear function
quadratic funtion
none of these
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Question # 6
If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =
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4
6
5
3
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Question # 7
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 8
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 9
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
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8
4
-4
8
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Question # 10
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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Question # 11
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 12
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 13
In (x +iy) y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 14
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A
B
A'B'
B'A
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Question # 15
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Question # 16
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 17
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 18
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 19
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 20
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 21
A and B be two square matrices and if their inverse exist the (AB)-1 =
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A-1 B-1
AB-1
A-1B
B-1A-1
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Question # 22
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
Choose an answer
2
26
27
1
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Question # 23
(x + 2)
2
= x
2
+ 4x + 4 is
Choose an answer
A linear equation
A cubic equation
A quadratic equation
None
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Question # 24
The upper 3/4 the portion of a vertical pole subtends an angle tan
-1
3/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
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20 m
40 m
60 m
80 m
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Question # 25
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 26
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all are correct
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Question # 27
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Associate law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 28
If origin is the mid point of (a, -3) and (-5, b) then
Choose an answer
a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 29
120° degrees are equal to how many radians?
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Question # 30
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none of these
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Question # 31
If T = {2,4,6,8,10,12}, then
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T = (First six natural numbers)
T = (First six odd numbers)
T = (First six real numbers)
T = ( First six even numbers)
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