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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The seventh term of (x3+1/x)8is
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71
-22
27
28
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Question # 2
If a > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
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Question # 3
(n + 2) (n + 1)n in factorial form is
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Question # 4
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Question # 5
The sum of all positive integral multiple of 5 less than 100 is
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950
760
1230
875
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Question # 6
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 7
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 8
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 9
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 10
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x = 3
x = 1/5
x = 0
None of these
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Question # 11
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 # 12
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 13
For all points (x,y) in second quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 14
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
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10
5
0
20
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Question # 15
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 16
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 17
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Question # 18
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xy
y
0
x
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Question # 19
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 20
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Question # 21
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 22
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 23
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 24
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 25
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0
abc
1/abc
None of these
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Question # 26
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 27
The proposition S(k+1) is true when ______ is true∀K∈N
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S(n)
S(k)
S(1)
S(k-1)
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Question # 28
r + 3 >5 then which is true
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r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 29
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images
pre-images
constants
none of these
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Question # 30
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Question # 31
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