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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
2x + 3y > 4 is a linear inequality in
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one variable
two variables
three variables
none of these
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Question # 3
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Question # 4
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Question # 5
How many necklaces can be made from 6 beads of different colours?
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120
60
24
15
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Question # 6
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 # 7
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 8
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 9
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k3
0
3k
k6
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Question # 10
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Question # 11
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 12
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Question # 13
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 14
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1
2
-1
0
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Question # 15
Number of combination of zero or more things out of n different things
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nPn
nPr
nCr
2n
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Question # 16
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 17
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 18
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Question # 19
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 20
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 21
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 22
If Z = (1,2), then Z
-1
= ?
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(0.2, 0.4)
(-0.2, 0.4)
(0.2, -0.4)
(-0.2, -0.4)
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Question # 23
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 24
A Series which does not coverage to a Unique sum is called
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Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 25
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 26
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Question # 27
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 28
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Question # 29
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(-6,4)
(-3,2)
(6,-4)
(3, -2)
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Question # 30
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 31
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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