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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 3
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none of these
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Question # 4
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 5
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Question # 6
cos (180° -
θ
)=
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sin
θ
- cos
θ
- sin
θ
None of above
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Question # 7
Which of the following is a scalar.
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force
frequency
weight
acceleration
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Question # 8
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 9
If the st. line 3x + 4y = K touches the circle x
2
+ y
2
- 10x = 0 then the value of K is
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-1 or 20
-10 or 40
-2 or 20
2 or 20
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Question # 10
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 11
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
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A.P.
G.P.
H.P.
None of these
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Question # 12
The unit vector along x-axis is
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none of these
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Question # 13
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Question # 14
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 # 15
The additive inverse of a matrix A is
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None of these
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Question # 16
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2 and 9
3 and 2
2/3 and 9
3/2 and 6
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Question # 17
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Question # 18
The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60
ο
and 30
ο
respectively. The the ratio of the heghts of the tower is
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2 : 1
3 : 1
1 : 2
1 : 3
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Question # 19
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none of these
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Question # 20
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
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0
2
1
Infinite
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Question # 21
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 22
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all are correct
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Question # 23
If |αi + (α+1)j +2k| =3 then value of α is
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1,2
-1,-2
1,-2
-1,2
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Question # 24
sin
2
α
cos
2
α
=
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-1
0
1
None of these
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Question # 25
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 26
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none of these
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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
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Question # 29
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none of these
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Question # 30
Period of Cotangent function is
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π
-π
0
-2π
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Question # 31
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