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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Any whole number can be written as a product of factors which are
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Even number
Odd numbers
Prime number
Rational number
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Question # 2
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Question # 3
If z
1
= (a,b), z
2
=(c,d), then z
1
z
2
= -------------------
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(ac,bd)
(ac+bd, ad-bc)
(ac-bd , ad+bc)
(ac-bd , ad-bc)
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Question # 4
If n is any positive integer ,t hen 2+4+6+......+2 n=
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2
n
-1
2
n
+1
n
2
+1
n(n+1)
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Question # 5
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 6
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 7
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Question # 8
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 9
Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is
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9028
9208
9802
9820
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Question # 10
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Question # 11
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 12
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 13
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1
-1
0
I
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Question # 14
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Question # 15
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 16
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Question # 17
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 18
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 19
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 20
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 21
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 22
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Question # 23
An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)
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Implicit equation
Differential equation
General equation
None of these
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Question # 24
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Question # 25
The set of complex numbers forms a group under the binary operation of
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Addition
Multiplication
Division
Subtraction
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Question # 26
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 27
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Question # 28
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 29
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 30
If z
1
= 2 + 6i and z
2
= 3 + 7i, then which expression defines the product of z
1
and z
2
?
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36 + (-32)i
-36 + 32i
6 + (-11)1
0, +(-12)i
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Question # 31
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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