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Maths Questions
Multiple choice questions:Q1 Which of the following is a subset of {b,c,d}?
(a) { }
(b) {a}
(c) {1,2,3}
(d) {a,b,c}
Q2 In coordinate geometry,the equation of the x-axis is
(a) y=x
(b) y=0
(c) x=0
(d) y=1
Q3 3x-4 (x+6) =
(a) (x+6) (b) -x-24 (c) 7x+6
(d) -7x-24
Q4 How many subsets does the set {a,b,c,d,e} have?
(a) 2
(b) 5
(c) 10
(d) 32
Q5 20% of 2 is equal to
(a) 20
(b) 4
(c) 0.4
(d) 0.04
Q6 5√5 X 53 ÷ 5-3/2 = 5a+2 then the value of a, is equal to :(a) 4
(b) 5
(c) 6
(d) 8
Q7 2p²-15p+25 =
(a) (p-5) (2p-5)
(b) (p-5)(2p+5) (c) (p+5)(2p-5)
(d) (2p-15)(p+5)
Q8 In a simultaneous throw of two dice the probability of getting a total of 7 is :(a) 7/36
(b) 1/7
(c) 1/4
(d) 1/6
Q9 What is the value of u in the sequence 2,7,14,23,34, u?
(b) 45
(b) 46
(c) 47
(d) 53
Q10 The number 0.0417 in standard from is
(a) 4.17x10⁻⁴ (b) 4.17x10⁻ᶟ (c) 4.17x10⁻² (d) 4.17x10⁻¹
Q11 The expression a²+b² is equivalent to
(a) (a+b)(a+b)-2ab
(b)(a+b)(a+b)
(c) (a+b)(a-b)-2ab (d) (a+b)(a-b)-2ab
Q12 Solve for x: x-2/x-1 =x+4/2x+2
(a) 0
(b) 5
(c) 3
(d) 7
Q13 If rekha can type a page in ‘m’ minutes,what piece of the page she can do it in 10 minutes.
(a) 10/m
(b) m-10
1
(c) m+10
Q14 If x = √5 + 2, then x -𝑥 equals :-
(d) m/10
(a) 2√5
(b) 4
(c) 2
(d) √5
Q15 One half of the difference between the number of degre in a rectangle and the number of
degree in a triangle is:
(a) 360°
(b) 240°
(c) 180°
(d) 90°
Q16 The value of 3(x²y⁻⁴z)⁴xᶟy is equal to
(a) 81x⁻¹y⁻⁴z⁴
(b)81x¹¹y⁻¹⁵z⁴
(c) 3x¹¹y⁻¹⁵z⁴ (d) 3x⁵y¹z⁴
Q17 There are 24 birds on a tree. A hunter fixed a gun and 20 fall down on ground. How many birds
left on the tree?
(a) 4
(b) 7
(c) 24 (d) none
Q18 In an AP,if d = -4 ,n = 7, an =4 then a is
(a) 6
(b) 7
(c) 20 (d) 28
Q19 For AP T₁₈ - T₈ =
(a) d
(b) 10d
(c) 26d
(d) 2d
Q20 A rational number can be expressed as a terminating decimal if the denominetor has factors.
(a) 2,3 or 5 (b) 2 or 3
(c) 3 or 5
(d) 2 or 5
Q21 The mathematician who gave the term ‘algorithm’?
(a) Euclid
(b) Gold Bach
(c) Khwarizmi
(d) Gauss
Q22 If cos A = 4/5 then value of tan A is
(a) 3/5
(b) 3/4
(c) 4/3 (d) 5/3
Q23 The value of the epression sin²63°+cos²63°/cos²17+sin²17
(a) 3
(b) 2
(c) 1
(d) 0
Q24 Area of sector of circle
(a) ∏r²
(b) ᶿ/360° X ∏r² (C) 2ᶿ/360° X∏r² (d) ∏r²/360°
Q25 In triangle ABC, m∟A =48° and m∟C =24°, what type of triangle is triangle ABC.
(a) Acute
(b) Right (c) Obtuse (d) Isosceles
Q26 If each edge of a cube, of volume v, is doubled, then the volume of the new cube is :(a) 2V
(b) 4V
(c) 6V
(d) 8V
Q27 Evolution of 8ᶟ x 8² x 8⁻⁵ is
(a) 1
(b) 0
(c) 8
(d) none of these
Q28 Which of the following numbers gives 240 when added to its own square
(b) 15
(b) 16
(c) 18
(d) 20
Q29 106 X 106 – 94 X 94 =?
(a) 2004
(b) 2400
(c) 1904 (d) 1906
Q30 Find the missing number
(a) 1
(b) 14
(c) 17 (d) 16
Q31 Which of the following percent is not equivalent to the three
(a) 3/5%
(b) 6/5%
(c) 9/15%
(d) 6/10%
Q32 When 3 is multiplied 5 times,the result is
(a) 15
(b) 81
(c) 643
(d) 243
Q33 Three coins are tossed together,then the probability of getting at least one head is
(a) ½
(b) 3/4
(c) 1/8
(d) 7/8
Q34 LCM of two numbers is 2310 and their HcF is 30.If one of the number is 210,Find the other.
(a) 330
(b) 1330
(c) 78
(d) 1438
Q35 The sum of two numbers is 40 and their difference is 30,what is the product of the number?
(a) 55
(b) 5
(c) 175
(d)155
Q36 Two roots are real,if
(a) b²-4ac ≥0
(b) b²-4ac <0
(c) b²-4ac=0
(d) b²-2ac=0
Q37 Discriminant formula to find out roots is
(a) x= -b±√b²-4ac/2a (b) x= b²-4ac (c) b²+4ac (d) x= b±√b²-4ac/2a
Q38 The sum of the first n terms of a AP is given by
(a) S=n/2[2a+(n-1)d] (b) S=n[2a+(n-1)d] (c) S=2a(n-1)d (d) S= n/2[a+(n-1)
Q39 Sin 45°=
(a) 0
(b)1/√2
(c) √3/2
(d) Not defined
Q40 The probability of an event E is a number P(E) such that
(a) 1≤P(E)≤2
(b) 1≤P(E)≤0
(c) 0≤P(E)≤1
(d) 2≤P(E)≤1
Q41 Who is known as father of geometry ?
A) Thales B) Euclid C) Aryabhatta D) Bhaskra - II
Q 42 Pythagoras was a student of : A) Thales B) Archimedes
C) Euclid D) None of these
Q43 Euclid belongs to the country :-
A) Babylonia B) Egypt
C) Greece D) India
Q 44 The India mathematician who proved Pythagoras theorem was :A) Brahamgupta B) Aryabhatta
C) Euclid D) Bhaskra
Q45 √7 is a polynomial of degree :A) 0
B) 7
C) ½
D) 2
Q 46 If = 4, then degree of the polynomial p(x) = (x- )4 + 256 is
A) 0
B) 1
C) 4
D) 3
Q 47 Remainder theorem was first discovered by :A) Arya Bhatt
B) Thales
C) Bezout
D) None these
Q 48 Degree of the zero polynomial is :A) 0
B) 1
C) any real number
D) not exit
Q 49 A polynomial of degree n in x has at most :A) n terms
B) (n-u terms
C)( n + 1) terms
𝑛
D) 2 terms
Q 50 The Zero`s of the polynomial p(x) = x(x2-1) are
A) 0,1
B) 0,-1
C) 0,-1,1
D) ±1
C) 0,-1,1
D) ±1
C) 6
D) 12
C) 1
D) -4
Q51 ( √72-√18 ) ÷ 12 is equal to:A) 6
B)
3
2
Q 52 If √2 n = 64, the value of n is:A) 2
B) 4
1
Q 53 If x=2+√3 , then x+ 𝑥 is equal to :A) 4
B) 2√3
Q54. In Euclid`s division Lemma a=bq+r, 0≤r<b, number `a` is the
A) Divisor
B) Dividend
C) quotient
D) Remainder
Q55. If p,q are two consecutive natural number, then H.C.F (p,q) is
A) p
B) q
C) 1
D) pq
Q56. If p be a prime number and p divides k2 than p divides.
A) 2k2
B) k
C) 3k
D) none of these
Q57. If n2-1 is divisible by -8, if n is:A) an integer
B)a natural number
Q 58 If d= L.C.M(36,198 ), then the value of ‘d’ is
C) an odd integer
D) an even number
A) 396
B) 198
C) 36
D) 1
C) 2q +3
D) None of these
Q 59 Every even integer’s is of the form :A) 2q + 1
B) 2q
Q 60 If 𝛼 𝑎𝑛𝑑 𝛽 are the zero of the polynomial p(x) = 2x2 – 7x + 3, then 𝛼 2 + 𝛽 2 is
A)
25
37
B)
4
37
C)
4
D)
4
25
410
Q 61 The product of the zero of the polynomial p ( x) = 3x2 – 4 x -4 is
A)
−3
−4
B)
4
3
C)
3
D)
4
4
3
Q 62 A cuboid has how many faces ?
A) 2
B) 4
C) 6
D) 3
C) 1.6 x 10 -4
D) 1.6 x 10 -5
Q 63 0.0016 is equal to
A) 1.6 x 10 -3
Q 64 The value of
A)
B) 1.6 x 10 -2
0.564 𝑥 0.564−0.436 𝑥 0.436
0.564− 0.436
0
B) 1
is
C) -1
D) None of these
Q 65 ( -2 ) m+1 x (-2)4 = (-2)6 =) m = ?
A) 0
B) 1
C) (-1)
D) None of these
Q 66 How many faces does a prism with square base have :A) 6
B) 4
C) 5
D) 3
Q 67 In a parallelogram, sum of its two adjacent angle is
A) 900
B) 3600
C) 1800
D) 2700
C) 3600
D) 5400
Q 68 The sum of all exterior angles of a quadrilaterals
A) 900
B) 1800
Q 69 If degree measure of an are is 1800 , then the are is
A) Major are
B) Minor are
C) circle
D) semi circle
B) 100 arc
C) 1000 arc
D) None of these
Q 70 1 Hectare is equal to
A) 10 arc
Q 71 How many cubes of 3cm edge can be cut out of a cube of 18 cm edge ?
A) 36
B) 216
C) 218
D) 432
Q 72 The edge of a cube is 4 cm, then its diagonal will be :A) 5 √3𝑐𝑚
B) 2 √3𝑐𝑚
C) 4 √3𝑐𝑚
Q 73 If l is the length of a diagonal of a cube of volume V, then:-
D) 5 cm
A) l3 = 3v
B) l3 = √3𝑣
C) l3 = 3 √3𝑣
D) 2 l3 = 3√3𝑣
Q 74 The volume of a sphere of diameter r is :A)
4
𝜋𝑟 3
3
8
B)
𝜋𝑟 3
3
1
C)
6
𝜋𝑟 3
D)
1
3
𝜋𝑟 3
Q 75 Which one of the following is not a measure of central value
A) mean
B) Range
C) mode
D) median
C) 3
D) 4.5
Q 76 The median of the first size whole number
A) 2
B) 2.5
Q 77 The difference between the true upper limit and true lower limit is called :A) Size of the class
class
B) class interval
C) class mark
D) limit of the
Q 78 what is the probability of getting a sum a from two throws of a dice
A)
1
1
B)
6
C)
8
1
D)
9
1
12
Q 79 The chance that a leap year has 53 Sunday is :A)
3
B)
7
2
C)
7
1
D)
7
4
7
Q 80 Probability of getting two heads in a single through of 3 coins is : A)
1
B)
8
3
C)
8
5
D)
8
7
8
Q 81 If the mode of a data is 53 and mean is 33, then its median is :A) 36.97
B) 38
C) 40
D) 39.67
1
Q 82 If sino = 3 , then value of 2 cot2 o +2 is equal to :A) 6
B) 9
C) 4
D) 18
3
Q 83 If tan A = 4 and A+B = 900, then the value of cot B is equal to :A)
4
B)
3
1
C)
2
3
D) 1
4
Q 85 The value of sin2 29 + sin2 61 is equal to :A) 1
B) 0
C)
1
1
D) 2
4
Q 86 If ∆ ABC ≅ ∆ RQP < A = 800 , < B = 600 , them the value of < P is :A) 800
B) 500
C) 400
D) 300
Q 87 If value of P for which the polynomial x3 + 4x2 – p x + 8 is exactly divisible by (x-2 ) is :A) 0
B) 3
Q 88The diagonals of an isosceles trapezium are :-
C) 5
D) 16
A) unequal
B) equal
C) (a) and (b) both D) None of these
Q 89 Each flat part of a solid is called its :A) Edge
B) vertex
C) Face
D) None of these
1
Q 90 The multiplicative inverse of ( 3 ) -2 is
1
A) 9
1
B) 9
C) 4
D) None of these
Q 91 A regular polygon is :A) Equilateral
B) Equiangular
C) (a) and (b) both
D) None of these
Q 92 How many diagonals does regular hexagon have
A) 2
B) 8
C) 9
D) None of these
Q 93 If x+y = 12 , the maximum value of the product of xy is :A) 26
B) 36
C) 30
D)None of these
C) 4
D) 9
Q 94 If 2 x =8 y+1 and 9y = 3 x-9 then y is
A) 6
B) 3
Q 95 The area of a square inscribed inside a circle of a radius is :A) 2 r2
B)
r2
C) 1 r2
D) None of these
Q 96 The median of given data is :- 133,73,89,108,94,85,100,120 is
A) 97
B) 79
C) 84
D)None of these
C) a3b3c3
D) 3 abc
C)27
D) None of these
Q 97 If a+b+c = 0, the value of a3 + b3 + c3 is
A) 0
B) a2b2c2
Q 98 If 2x – 2 x-1 = 4 then xx is equal to :A) 7
B) 3
Q 99 A dice is thrown, the probability of getting a prime number is :1
A) 6
B) 1/3
1
C) 3
D) 1
Q 100 If fair coin is tossed twice, the probability of getting heads in both the trial is :A) 1/4
B) 1/2
C) 3/4
D)1
Answer sheet
No. of Question
Answer of Question
No. of Question
Answer of Question
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30
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34
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36
37
38
39
40
41
42
43
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46
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48
49
50
A
B
B
B
C
A
A
B
C
C
A
A
A
B
B
C
D
D
B
D
A
B
C
B
C
B
A
B
B
D
B
D
D
A
C
A
A
A
B
C
D
A
B
D
A
C
C
D
C
C
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
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80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
D
D
A
B
C
B
C
A
B
B
B
C
A
B
A
A
C
C
D
B
B
C
C
C
B
B
B
C
B
B
D
D
C
A
A
C
D
B
C
B
C
D
B
A
A
A
A
C
C
A