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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 2
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Question # 3
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
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5.47m
2m
7m
6.29m
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Question # 4
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
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-i
2 + i
i
2 - i
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Question # 5
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2
5
7
None of these
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Question # 6
Every subset of a finite set is
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Disjoint
Null
Finite
Infinite
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Question # 7
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 8
Geometric mean between a and b is
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Question # 9
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4
6
8
10
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Question # 10
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 11
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 12
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 # 13
In polar form of complex number r =
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Question # 14
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Question # 15
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 16
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1/8
1/2
1/4
1/6
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Question # 17
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 18
The physical quantity which can be specified by a number alongwith unit is called a
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scalar
vector
constant
none of these
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Question # 19
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 # 20
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Question # 21
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 22
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 23
a.a
-1
= a
-1
.a = 1 is a
Choose an answer
Commutative law of multiplication
Multiplicative identity
Associative law of multiplication
Multiplicative inverse
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Question # 24
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 # 25
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 26
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 27
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Question # 28
If n is a negative integer n! is
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1
0
Unique
Not defined
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Question # 29
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The law of sines
The law of tangents
The pythagorus theorem
None of these
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Question # 30
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 31
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