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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 2
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 3
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none of these
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Question # 4
ax + by < c is linear inequality in
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four variables
three variables
two variables
one variable
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Question # 5
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π / 4
π / 6
π / 3
0
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Question # 6
Which is the proper rational function
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Question # 7
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 8
If a
n
= 2n -3, write the first four terms
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-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 9
Some of two real numbers is also a real number , this property is called:
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Commutative property w.r.t addition
Closure property w.r.t. addition
Associative property w.r.t. addition
Distributive property w.r.t addition
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Question # 10
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Question # 11
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1/2
2
1/4
4
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Question # 12
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 13
The position vector of a point (x, y) in xy plane is
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none of these
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Question # 14
f(x) = x
3
is:
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an odd function
an even function
an implicit function
a quadratic funtion
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Question # 15
If P is a proposition then its negative is denoted by
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Question # 16
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Question # 17
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Question # 18
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 19
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Question # 20
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Question # 21
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 22
If y = 2x , then
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y1 -ln2y = 0
y2-(ln2)2 y = 0
y2-(ln2)y1 = 0
All are correct
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Question # 23
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 24
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 25
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Question # 26
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Question # 27
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k3
0
3k
k6
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Question # 28
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 29
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Question # 30
If the roots of ax
2
+ b = 0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 31
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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