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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 3
The set of rational numbers is subset of
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The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 4
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 5
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 6
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Question # 7
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 8
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Question # 9
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 10
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Question # 11
The common point to four standard parabolas
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Focus
Centre
Vertex
P(x,y)
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Question # 12
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 13
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 14
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Question # 15
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Question # 16
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 17
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 18
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 19
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 20
For two vector a and b, a+b = _______
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a b
b+a
b-a
None
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Question # 21
The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is
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50 cm/sec
60 cm/sec
61 cm/sec
None of these
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Question # 22
Range of cos
θ
is
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Question # 23
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
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0
-25
5
45
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Question # 24
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 25
cos (
α
+
β
) + cos (
α
-
β
) =
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4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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Question # 26
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 27
The solution set of the equation 1 + Cos x = 0 is __________
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none of these
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Question # 28
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
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A.P.
G.P.
H.P.
None of these
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Question # 29
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 # 30
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 31
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