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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 3
sec (-360°) = ______
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0
1
2
3
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Question # 4
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 5
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 6
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 7
The number of permutation that can be formed from the letters of the word OBJECT is
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700
600
720
620
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Question # 8
The multiplicative inverse of 0 is
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1
-1
0
Does not exist
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Question # 9
If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is
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30
ο
35
ο
45
ο
60
ο
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Question # 10
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Question # 11
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 12
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Question # 13
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 14
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1
2
3
4
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Question # 15
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Question # 16
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 17
Which is not a half plane
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ax + by < c
ax + by > c
Both A and B
None
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Question # 18
The symbol of irrational is
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W
N
Q
Q
'
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Question # 19
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 20
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15
15 i
-15 i
-15
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Question # 21
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 22
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quadratic function
constant function
linear function
exponential function
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Question # 23
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2 b
2 a
2 ab
a + b
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Question # 24
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25
16
5
0
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Question # 25
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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Question # 26
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 # 27
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 28
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 29
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2
-1
8
not defined
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Question # 30
E-radius corresponding to < B is
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Question # 31
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