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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The range of the principle cos function is
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Question # 2
Domain of sec x is ______
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Question # 3
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
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x - y = -6
x - y < -6
x - y > -6
None
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Question # 4
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 5
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 6
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 7
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Question # 8
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 9
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1
-1
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Question # 10
(x + 2)
2
= x
2
+ 4x + 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 11
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Question # 12
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 13
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 14
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 15
The equation of the circle with centre (5, -2) and radius 4 is
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(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 16
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0
-4
none of these
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Question # 17
The set {1,2,3,4......} is called
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Set of natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 18
Associative law of multiplication
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ab - ba
a(bc) = (ab) c
a(b + c) = ab +ac
(a +b)c = ac + bc
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Question # 19
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 20
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 21
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 22
∀a,b, c ε R,a +c = b + c = > a = b
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 23
Period of Tangent function is
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0°
-
π
π
2
π
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Question # 24
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 25
cot(3π/2 -θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 26
The number of subset of {0} is
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1
2
3
None
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Question # 27
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 28
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
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7 / 25
9 / 25
11 / 25
None of these
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Question # 29
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 30
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 31
(1+w)(1+w2)(1+w4)(1+w8)....50 factors
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0
-1
1
2
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