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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 2
If p and q are two statements then their conjunction is denoted by
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Question # 3
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In(x
2
- x + 1) + c
In(2x - 1) + c
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Question # 4
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 5
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 6
The period of cosec 10x is _______
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Question # 7
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Question # 8
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 9
Which of the following is a quadrantal angle
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100°
200°
170°
270°
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Question # 10
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 11
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None of these
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Question # 12
Domain of sin
θ
is
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Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
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Question # 13
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Question # 14
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
Choose an answer
18
6
3
0
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Question # 15
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
Choose an answer
Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 16
How many arrangements of the letters of the word MATHEMATICS can be made
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Question # 17
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Question # 18
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 19
2
π
+
θ
will have terminal side in Quad
Choose an answer
I
II
III
IV
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Question # 20
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 21
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Question # 22
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 23
The sum of the coefficient in the expansion of (a + x)
5
is
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32
16
8
5
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Question # 24
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 25
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Question # 26
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16
256
64
1024
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Question # 27
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 28
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 # 29
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 30
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 31
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