1
x2-2x+1 is a polynomial in:
a. One Variable
b. Two Variables
c. Three variable
d. None of the above
a. One Variable
2x Question
If a rectangle’s length is twice its width, and the perimeter is 60 cm, what is the width?
a) 15 cm
b) 20 cm
c) 10 cm
d) 25 cm
c) 10 cm
2 Answers
The three rational numbers between 3 and 4 are:
a. 5/2, 6/2, 7/2
b. 13/4, 14/4, 15/4
c. 12/7, 13/7, 14/7
d.11/4, 12/4, 13/4
b. 13/4, 14/4, 15/4
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is
(a) 1:4
(b) 1:3
(c) 2:3
(d) 2:1
(a) 1:4.
Which of the following is NOT a property of a rhombus?
A) All sides are equal
B) Opposite angles are equal
C) Diagonals are equal
D) Diagonals bisect each other at right angles
B) Opposite angles are equal
The polynomial of type ax2 + bx + c, a = 0 is of type
(a) linear
(b) quadratic
(c) cubic
(d) Biquadratic
(a) linear
The value of f(x) = 5x−4x2+3 when x = -1, is:
a. 3
b. -12
c. -6
d. 6
c. -6
The average of three numbers is 17. If the sum of the two numbers is 28, find the third number.
a)20
b)23
c)30
d)18
b)23
2x Question
The number obtained on rationalizing the denominator of 1/ (√7 – 2) is
a. (√7+2)/3
b. (√7-2)/3
c. (√7+2)/5
d. (√7+2)/45
a. (√7+2)/3
Danger
The total surface area of a cube is 96 cm2. The volume of the cube is:
(a) 8 cm3
(b) 512 cm3
(c) 64 cm3
(d) 27 cm3
(e) 125 cm3
(f) 16 cm3
(c) 64 cm3
Golden ticket
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rhombus, if
(a) Diagonals of PQRS are perpendicular
(b) Diagonals of PQRS are equal.
(b) Diagonals of PQRS are equal.
2x Question
If n(A∪B∪C) = 73, n(A) = 2x, n(B) = 3x, n(C) = 5x, n(A∩B) = 10, n(B∩C) = 15, n(A∩C) = 5 and n(A∩B∩C) = 3, then the value of x is
(a) 9
(b) 10
(c) 5
(d) 18
(b) 10
2 Answers
Are P = {x: –3 ≤ x ≤ 0, x Z} and Q = The set of all prime factors of 210. How is set P and Q related?
A) Equal Set
B) Subset
C) Equivalent set
D) Singleton Sets
C) Equivalent set
Which of the following is an irrational number?
a) √16
b) √(12/3)
c) √12
d) √100
c) √12
The decimal representation of the rational number is
a. Always terminating
b. Either terminating or repeating
c. Either terminating or non-repeating
d. Neither terminating nor repeating
b. Either terminating or repeating
Golden ticket
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is
(a) 12m
(b) 15m
(b) 15m
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is
(a) 25º
(b) 40º
(c) 50º
(d) 55º
(c) 50º
set A represents students who study Mathematics, and set B represents students who study Science. If there are 15 students in set A, 10 students in set B, and 5 students study both subjects, how many students study only Mathematics?
A) 5
B) 10
C) 15
D) 20
B) 10
Danger
Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y}.
A)26 , 26–1
B) 26–1 , 26
C) 25–1 , 25
D) 25 , 25–1
E) 24 , 24–1
F) B) 24–1 , 24
D) 25 , 25–1
The sum of two numbers is equal to the thrice of their difference. What will be the ratio between them?
a) 1 : 3
b) 3 : 1
c) 1 : 2
d) 2 : 1
d) 2 : 1
Which of the following statements is not true?
a. Between two real numbers, there exists an infinite number of real numbers.
b. Between two integers, there exist an infinite number of rational numbers.
c. Between two rational numbers, there exist an infinite number of rational numbers.
d. Between two rational numbers, there exists an infinite number of integers.
d. Between two rational numbers, there exists an infinite number of integers.
In a cylinder, the radius is doubled and height is halved, the curved surface area will be
(a) Halved
(b) Doubled
(c) Same
(d) Four times
(c) Same
Golden ticket
How many dimensions does a point have?
a) Infinite
b) Zero
b) Zero
Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number of marbles they both have now is 124. How to find out how many marbles they had to start with.
A) x=13 or x=24/3
B)x=36 and x=9
C) x=17 and x=-43/2
D) x=26 and x=10
B)x=36 and x=9
The price of an item increases by 20% and then decreases by 20%. What is the net effect on the price?
a) Increased by 4%
b) Decreased by 4%
c) Increased by 0%
d) Increased by 40%
b) Decreased by 4%
2 Answers
If ABCD is a trapezium in which AB || CD and AD = BC, then:
a. ∠A = ∠B
b. ∠A > ∠B
c. ∠A < ∠B
d. None of the above
a. ∠A = ∠B
If x is a non-zero integer, which of the following expressions is always an integer?
a) (x2+x)/2
b) (x+1)/x
c) x2+3/x-3
d) (x2−1)/(x+1)
a) (x2+x)/2
2x Question
If the perpendicular distance of a point P from the x-axis is 7 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has:
a) y-coordinate = 7 only
b) y-coordinate = -7 only
c) y-coordinate = 7 or–7 only
d) x-coordinate = –7 or –7 only
c) y-coordinate = 7 or–7 only
Find the value of k, if x-3 is a factor of 5x3-2x2+x+k.
a) 50
b) 60
c) -60
d) -120
d) -120
Factor 5(x3)(y2)(z) + 100(x2)(y3)(z2)
a)5xyz(x2y + 20xy2z)
b)(5x2y2z)(x + 20yz)
c)5x5y5z3(x + 20y)
d)5(x3y2z+20x2y3z2)
b)(5x2y2z)(x + 20yz)
Danger
The ratio of girls to boys in a school is 5:7. If there are 525 girls, how many boys are there?
a) 375
b) 625
c) 735
d) 325
e) 421
f) 245
c)735
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
(a) Square
(b) Rectangle
(c) Rhombus
(d) any other parallelogram
(b) Rectangle
A circle touches all four sides of a quadrilateral PQRS. If PQ = 11 cm. QR = 12 cm and PS=8 cm, then what is the length of RS ?
a) 7 cm
b) 15 cm
c) 9 cm
d) 7.3 cm
c) 9 cm
2 Answers
Which of the following is the example of Trinomial?
a) 9x3+ 5x2+7x+2
b) 9
c) 7x-2
d) 5x2+2x-2
d) 5x2+2x-2
Danger
The degree of 4x3-12x2+3x+9 is
a. 1
b. 0
c. 3
d. 2
e. 7
f. 9
c. 3