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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 2
Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then
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A≠ C
B = C
A = B
A≠ B
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Question # 3
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 4
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 5
If a > 0 they parabola y2 =-4ax lies in
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I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 6
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 7
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none of these
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Question # 8
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
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4
3
2
1
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Question # 9
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 10
A line segment whose end points lie on a circle is called
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the secant of the circle
the arc of the circle
the chord of the circle
the circumference of the circle
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Question # 11
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100x
99
100x
101
-99x
99
-100x
101
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Question # 12
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 13
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 14
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 15
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Question # 16
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Question # 17
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π
/ 2
π
/ 3
π
/ 4
π
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Question # 18
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 19
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The law of sines
The law of tangents
The pythagorus theorem
None of these
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Question # 20
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Question # 21
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Question # 22
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 23
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In(x
2
- x + 1) + c
In(2x - 1) + c
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Question # 24
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 25
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Even
Odd
Prime
None of these
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Question # 26
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 27
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 28
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Question # 29
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Question # 30
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 31
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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