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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 2
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 3
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 4
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 5
The first three terms in the expansion of (1 + x)
3
are
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1 + 3x +6x
2
1- 3x + 6x
2
\
-3 -3x -6x
2
1- 3x -6x
2
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Question # 6
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Question # 7
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 8
How many arrangements of the letters of the word MATHEMATICS can be made
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Question # 9
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N
r
2r
π
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Question # 10
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 11
cot
θ
= sin 2
θ
if
θ
=
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Question # 12
The roots of ax2+bx+c=0 are
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Rational ⇔ b2 -4 ac ≥ 0
Irrational ⇔ b2-4 ac > 0
Real ⇔ b2-4 ac ≠ 0
Rational⇔ b2-4 ac = 0
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Question # 13
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8
1/56
56
None of these
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Question # 14
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both a & c
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Question # 15
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 16
For each natural number n, n (n+1) is
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an even
an odd
multiple of 3
Irrational
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Question # 17
The period of sin x/2 = Cos x/3 is
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2p
12p
13p
7p
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Question # 18
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Question # 19
If cos
-1
p + cos
-1
q + cos
-1
r =
π
then p
2
+ q
2
+ r
2
+ 2pqr is equal to
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3
1
2
-1
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Question # 20
A subset of set of complex number whose elements are of the form (a,0) is called
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Real number
Complex number
Rational number
Irrational number
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Question # 21
f(x) = ax + b will be a constant function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 22
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Question # 23
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 24
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 25
If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;
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Elevation
Depression
Right angle
None off these
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Question # 26
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16
None of these
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Question # 27
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 28
Period of Cotangent function is
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π
-π
0
-2π
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Question # 29
Which of the following is the subset of all sets?
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Question # 30
Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)
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xcosθ+ysinθ =5
xcosθ -ysinθ =0
xsinθ -ycosθ =0
None of these
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Question # 31
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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