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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 3
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 4
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 5
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 6
If there is one-one correspondence between A and B, then we write.
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A = B
A⊆ B
A⊇ B
A ∼ B
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Question # 7
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A onto B
both a & c
A into B
none of these
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Question # 8
Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is
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375
500
625
150
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Question # 9
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11
61
1
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Question # 10
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Question # 11
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Question # 12
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Question # 13
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 # 14
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 15
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 16
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Question # 17
The 5th term of (3a-2b)
-1
is
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77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 18
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 19
sin 3a = ______;
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3sin a - 4sin3a
4sin a -3 sin3 a
3 cos3 a -cosa
4cos3 a - 3cos a
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Question # 20
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
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0
1
2
Infinite
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Question # 21
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
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14 / 29
20 / 39
1 / 2
n
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Question # 22
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 23
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
2
- Z
1
| = ?
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Question # 24
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π
π/6
-
π/2
2
π
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Question # 25
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Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 26
If the graph of f is entirely below the x-axis, then the value of definite integral is
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= 0
< 0
> 0
None
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Question # 27
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sin 2x + c
-sin 2x + c
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Question # 28
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Question # 29
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 30
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 31
If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;
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Elevation
Depression
Right angle
None off these
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