1 The pair of linear equations 3x+4y = 12 and y=4 has
(a) No common solution (b) one common solution
( c) infinitely many solution (d) Non of these
- In an A P ,if d= -4 , n= 7, an = 4 then a is
(a) 6 (b) 7 (c) 20 (d) 28 - What is the common difference of an A P in which a18 – a14 = 32
(a) 8 (b) -8 (c) -4 (d) 4 - The ratio of the lengths of sides of an equilateral triangle and its height is
(a) 2: 1 (b) 1:2 (c) 2: √3 (d) √3 : 2 - Which of the following can not be a right triangle
(a) 9cm,15cm,12cm (b) 2cm,1cm, √5 cm
(c) 400mm, 300mm,500mm (d) 9cm,5cm,7cm - If the radius of the circle is increased three times how many times will it circumference
increased
(a) 2 times (b) 3 times (c) 1/3 times (d) 9 times - The ratio of the areas of the incircle and circumcircle of a square is
(a) 1:2 (b) 1:3 (c) 1:4 (d) 1: √2 - In a single throw of two dice the probability of getting a total of 8 is
(a) 5/36 (b) 1/36 (c) 7/36 (d) None of these - The zeroes of a polynomial 3×2
-2x-5 are
(a) -1,5/3 (b) 1,5/3 (c) 0,-1 (d) 1,0 - If ???? and ???? are the roots of quadratic equation x2
+5x+a = 0 and 2 ???? +5????= -1 then a is
equal to
(a ) 5 (b) 3 (c)-20 (d) -24
CLASS X
MATHEMATICS OBJECTIVE QUESTIONS
Q1. Ratio of lateral surface areas of two cylinders with equal height is
(a) 1: 2 (b)H : h (c) R: r (d) None of these
Q2. If the difference of mode and median of a data is 24, then the difference of median and
mean is :
(a) 12 (b) 24 (c) 08 (d) 36
Q3. Consider the following frequency distribution of the heights of 60 students of a
class
Height
(in cm)
150-155 155-160 160-165 165-170 170-175 175-180
No of
students
15 13 10 8 9 5
The upper limit of the median class in the given data is
a) 165 b) 155 c) 160 d)
170
Q.4 Find the length of tangent drawn to a circle with radius 7 cm from a
point 25 cm away from the Centre.
(a) 24 cm (b) 27 cm (c) 26 cm (d) 25 cm
Q5. For a frequency distribution, mean, median and mode are connected by the
relation
(a) mode = 3mean – 2median (b) mode = 2median – 3mean
(c) mode = 3median – 2mean (d) mode = 3median + 2mean - The distance of the point P (2,3) from x-axis is
A. 2 B. 3 C. 1 D. 5
Q7. The distance between two parallel tangents of a circle of radius 3 cm is:
A. 3cm B. 6 cm C. 5 cm D. 4 cm
Q8. The area of a circle that can be inscribed in a square of side 6 cm is
A.36π cm² B. 18π cm² C. 12π cm² D. 9π cm²
Q9. Volume and surface area of a sphere are numerically equal, then radius of
sphere is
A. 0 unit B. 1 unit C. 2 unit D. 3 unit
Q10. The value of k for which x, 2x+k, 3x+6 are any three consecutive terms of AP is - Q11. Find the zeroes of the quadratic polynomial x² – 4x + 3.
- (a)4,1 (b)-1,3 (c) -1,-3 (d) 3,1
- 12.If p,p+2 and 2p-3 are three consecutive terms of an AP ,find the value of p .
- (a)2 (b) 7 (c) 5 (d)12
- 13.If tangents AB and AC from a point A to a circle with centre O are inclined to
- each other at angle of 70˚, then find ∠BOC.
- (a)70˚ (b) 110˚ (c)80˚ (d)120˚
- 14.The point on axis which is equidistant from point (-1,0) and (5,0) is
- (a) (0, 2) (b) (2,0) (c) (3,0) (d) (0,3)
- 15.A number is selected at random from the numbers 1 to 30. The probability that it
- is a prime number is
- a. 2/3 (b) 1/6 (c) 1/3 (d) 11/30
- 16.If the nth term of an AP is 2n+1 , then the sum of first n terms of the AP is
- a. n(n-2) (b) n(n+2) (c) n(n+1) (d) n(n-1)
- 17.The three terms of an AP are respectively 3y-1, 3y+5, and 5y+1. Then y equals to
- a. -3 (b) 4 (c) 5 (d) 2
- 18.The perimeter of a triangle with vertices (0,4) , (0,0) and (3,0)
- a. 9 (b) 5 (c) 10 (d) 12
- If the perimeter of a circle is equal to that of a square , then the ratio of their
area is
a. 22:7 (b) 14:11 (c) 7:22 (d) 11:14 - The probability that non – leap year has 53 Sundays is
a. 2/7 (b) 5/7 (c) 6/7 (d) 1/7