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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 2
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 3
The roots of the equation 2
2x
- 10.2
x
+ 16 = 0 are
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2, 8
1, 3
1, 8
2, 3
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Question # 4
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 5
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 6
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Question # 7
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 8
What is the period of 5 cot x=?
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π
-π
π/2
2π
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Question # 9
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 10
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 11
A - B = ______
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Question # 12
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 13
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 14
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Question # 15
If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:
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y
2
= -4 ax
x
2
= 4ay
x
2
= -4ay
y
2
= 4ax
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Question # 16
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Question # 17
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 18
cos 3a =_______;
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3sin a - 4sin3 a
4sin a - 3sin3 a
3cos3 a - 4cos a
4cos3a - 3cos a
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Question # 19
Tan 30° = _____
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Question # 20
If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 21
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 22
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Question # 23
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 24
In natural logarithm the base is
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1
0
10
e
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Question # 25
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 26
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n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 27
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Question # 28
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 29
If n is add the expansion (a + x)
n
has middle terms
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2
3
4
5
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Question # 30
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Question # 31
i
=
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√1
√2
√-2
√-1
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