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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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0
20
90
80
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Question # 2
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 3
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 4
The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is
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1/5
2/5
1/10
3/10
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Question # 5
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 6
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Always negative
Zero
Always positive
Infinity
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Question # 7
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 8
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 9
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 10
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 11
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Question # 12
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 13
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Question # 14
Cos-1(x)=
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cos x
x
tan-1(-x)
Sec-1 (1/x)
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Question # 15
We also the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a, b and c
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Question # 16
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 17
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 18
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 19
If S is a sample space and event set E = S then P(E) is
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>0
1
<1
0
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Question # 20
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Question # 21
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Additive property of inequality
Commutative property
Additive inverse
Additive identity
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Question # 22
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Question # 23
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-x
Infinite set
{-4, 4}
None of these
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Question # 24
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 25
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 26
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 27
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 28
In (x + iy), y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 29
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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Question # 30
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 31
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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