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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The period of cos(7x-5) is
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π/7
7π/2
π/2
2π/7
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Question # 2
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1
-1
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Question # 3
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Question # 4
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
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14 / 29
20 / 39
1 / 2
n
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Question # 5
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Question # 6
If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:
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y
2
= -4 ax
x
2
= 4ay
x
2
= -4ay
y
2
= 4ax
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Question # 7
The additive inverse of 1 is
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1
-1
0
Does not exist
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Question # 8
Two sets A and B are said to be disjoint if
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Question # 9
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 # 10
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 11
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A
0
Unit vector
None
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Question # 12
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Question # 13
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 14
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 15
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 # 16
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Question # 17
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 18
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 19
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Question # 20
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k3
0
3k
k6
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Question # 21
Domain of sin x is ______
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Question # 22
Through how many radians does the minute hand of a clock turn in one hour
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Question # 23
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 24
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Question # 25
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Question # 26
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Question # 27
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2
4
8
12
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Question # 28
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 29
Roots of the equation x
2
+ 2x + 3 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 30
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 31
The general solution of the differential equation x dy / dx = 1 + y is:
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2
1
3
None
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