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Mega Test

This document contains 100 mathematics questions from a practice test for an entrance exam. The questions cover a range of math topics including algebra, trigonometry, limits, matrices, probability, and more. The full document would be useful for someone preparing to take a similar entrance exam that includes multiple choice math questions testing fundamental concepts.

Uploaded by

Saeed Ahmed Noonari
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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413 views3 pages

Mega Test

This document contains 100 mathematics questions from a practice test for an entrance exam. The questions cover a range of math topics including algebra, trigonometry, limits, matrices, probability, and more. The full document would be useful for someone preparing to take a similar entrance exam that includes multiple choice math questions testing fundamental concepts.

Uploaded by

Saeed Ahmed Noonari
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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New Beacon Entrance Test Preparation Center Thul

MATHEMATICS MEGA TEST


20 August 2017

76. For two sets A and B A−( A−B) = ?


a) A−B b) A ∪B c) A ∩ B d) { }

77. If z = cis θ then z – 1 = ?


a) – z b) z c) z d) | z |

78. α , β are the roots of the equation ax2 + bx +c = 0 , a≠ 0 , If α =β +1 then which of the
following relation is correct ?
a) b2 – 4ac = 0 b) b2 – 4ac = 1 c) b2 – 4ac = −1 d) all

79. If 2w = 8x and 4m = 2x then what is the value of m in term of w :


w−2 w−3 w−2
a) b) c) d)
3 2 2
w+2
2

80. If A is the matrix of order 2 ×3 and B is the matrix of order 3 ×1 then what will be the order of
( A Bt ) t =?
a) 2 ×1 b) 3 ×3 c) 3 ×1 d) none

81. The identity element in binary operation defined by a∗b=a+2 b is :


a) – 2 b) 2 c) 0 d) 1

an +1+ bn+1
82. n n , if a , b are in A.P then n =?
a +b
−1 1
a) b) 2 c) d) 0
2 2

cosx sinx
83. + =?
cosec 3 x sec 3 x
a) cos4x b) cosx c) sin4x d) sin5x

x
84. The period of sin x + tan is :
2
π π
a) b) 2 π c) d) none
2 3

85. In the binomial expansion x + ( 1x ) 12


, what is the term which is independent of x ?

a) 9th b) 5th c) 8th d) 7th


x +1
86. If f ( x )= , g ( x )=2 x then f −1 ∘ g=?
2
a) 2x −1 b) 2x + 2 c) 4x −1 d) 4x +1

x x
2 −3
87. lim =?
x →0 x
2 3
a) ln b) ln 3 + ln 2 c) ln d) 0
3 2

88. If y = x x then y1 = ?
a) x x ( 1−lnx ) b) x x ( 1+ lnx ) c) x x (−1+ lnx ) d) all

1−cos 3 x
89. lim =?
x →0 1−cos 5 x
3 5 9 25
a) b) c) d)
5 3 25 9

[]
11
90. A = 12 then | A’A | is equal to :
13
a) 2 b) 4 c) 8 d) 6

91. If the pth , qth , rth terms of an A.P are in G.P then common ratio of G.P is :
p+ q p−r r−p
a) b) c)
r +q p−q q−p
d) none

92. Three unbiased coins are tossed , then probability of getting two heads is:
3 1 1
a) b) c) d) none
8 8 4

93. cos4∅−¿sin4∅ = ?
a) cos4∅ b) cos2∅ c) −¿ sin∅ d) sin2∅

94. Area of triangle ∆ ABC =


1 1 1
a) ab sinα b) ab sinα c) ac sin γ d) ac sin β
2 2 2

95. cot ( π4 −2cot 3) =−1

a) 1 b) 7 c) 4 d) none

96. If y = x e xy then derivative of y w.r.t. x is:

a)
1+ xy
1−xy
b)
1−xy
1+ xy
c) (
y 1+ xy
x 1−xy ) d) none
97. The product of “n” geometric means if given by
n

a)
anb
a () n+1
b)
n
√ ab c) √(ab)n d) None.
98. How many different words can be formed out of the letters of the word
“SHALIMAAR” begin with A and end with A.
a) 5040 b) 10080 c) 40320 d) None.

( x + x2 )
10

2
99. Which one is the middle term in the expansion of
a) 4th b) 5th c) 6th d) None
1 2
and
100. The harmonic mean between 3 5 is
4 4 4
a) 15 b) 11 c) 13 d) None

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