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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The nth term of a G.P. is
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a
1
r
n
a
1
r
n+1
a
1
r
n-1
a
1
r
-n
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Question # 2
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 3
(0,0) is in the solution of the inequality
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x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 4
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 5
tan(cot
-1
x) is equal to
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cot(tan
-1
x)
tan x
secon x
None of these
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Question # 6
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Question # 7
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Question # 8
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Question # 9
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2
6
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Question # 10
Sine is a periodic function and its period is ______
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π
s
2
π
4
π
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Question # 11
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 12
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 13
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 14
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Question # 15
w
-12
= ______
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0
1
w
w
2
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Question # 16
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 17
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 18
x = 0 is in the solution of the inequality
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x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 19
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 20
The inclination of a line parallel to y-axis is
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Question # 21
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c/a
-c/a
b/a
-b/a
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Question # 22
w
4
= ______
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0
1
w
w
2
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Question # 23
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Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 24
The position vector of any point in space is
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Question # 25
The two lines y = 2x and x =2y are
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Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 26
If the exponent in the binomial expansion is 6, then the middle term is
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2nd
3rd
4th
5th
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Question # 27
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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Question # 28
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 29
In one hour, the minute hand of a clock turns through
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Question # 30
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 31
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1
2
0
4
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