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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set of the first elements of the ordered pairs forming a relation is called its
Choose an answer
Function on B
Range
Domain
A into B
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Question # 2
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 3
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 4
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 5
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 6
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 7
The physical quantity which can be specified by a number alongwith unit is called a
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scalar
vector
constant
none of these
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Question # 8
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Question # 9
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No solution
One real solution
More than one real solution
None of these
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Question # 10
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 11
The first three terms in the expansion of (1 + x)
3
are
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1 + 3x +6x
2
1- 3x + 6x
2
\
-3 -3x -6x
2
1- 3x -6x
2
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Question # 12
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none of these
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Question # 13
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 14
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 15
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 16
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Question # 17
Which conjunction is not true ?
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Question # 18
If n is any positive integer then 2
n
> 2(n + 1) is true for all
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Question # 19
sec h x = ________
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Question # 20
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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Question # 21
The three consecutive numbers a,√ab,b are in
Choose an answer
G.P
H.P
G.M
None of these
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Question # 22
i
2
=
Choose an answer
1
2
-1
0
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Question # 23
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Question # 24
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Question # 25
For≥ -2 , 1+3+5+......+(2n+5)
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(n+2)
2
(n-2)
2
2n+1
(n+3)
2
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Question # 26
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Question # 27
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 # 28
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none of these
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Question # 29
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Question # 30
The set {x|x∈N∧x-4=0} in tabular form is
Choose an answer
{-4}
{0}
{}
None of these
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Question # 31
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
Choose an answer
b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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