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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
5
-5
none
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Question # 2
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 3
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 4
The conic is a parabola if
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e < 1
e > 1
e = 1
None of these
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Question # 5
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Polynomial of degree 0
Polynomial of degree 1
Polynomial of degree 2
Polynomial of degree n
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Question # 6
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 # 7
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 8
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 9
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 10
1 degree = _______
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0.00175 rad
0.175 rad
0.0175 rad
1.75 rad
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Question # 11
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360°
180°
90°
None of these
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Question # 12
A quadrilateral whose diagonals are perpendicular bisector of each other is
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Square
Rectangle
Rhombus
Parallelogram
Trapezium
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Question # 13
The line joining the center of a circle to the midpoint of the chord is
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Perpendicular to the tnagent
Perpendicular to the normal
Perpendicular to the chord
Perpendicular to the chord
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Question # 14
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
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(0, 2
π
)
(-
π
, -0)
(0,
π
)
None of these
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Question # 15
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 16
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[0,1[
[0, 1]
]0, 1[
None of these
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Question # 17
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1
5
7
9
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Question # 18
If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
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1
4
2
8
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Question # 19
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 20
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 21
If the expansion of (1 + x)
20
, then co-efficient of rth ad (r + 4)th term are equal, then r is
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7
8
9
10
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Question # 22
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
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Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 23
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 24
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 25
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
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8
15
-6
None
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Question # 26
The general term in the expansion of (a+x)n is
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(r-1)th term
(r+1)th term
rth term
none
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Question # 27
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 28
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Question # 29
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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Question # 30
sin (
α
+
β
) + sin (
α
-
β
)
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2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 31
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