48
Q:

# The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

 A) 16 B) 18 C) 20 D) 22

Explanation:

$2l+bb=51$      => 2l + 2b = 5b     => 3b = 2l

b=(2/3)l

Then, Area = 216 cm2

=> l x b = 216     => l x (2/3)l =216

l = 18 cm.

Q:

In a circle of radius 13 cm, a chord is at a distance of 5cm from its center. What is the length of the chord?

 A) 24 cm B) 18 cm C) 12 cm D) 20 cm

Answer & Explanation Answer: A) 24 cm

Explanation:

0 2
Q:

In ABC,P is a point on BC such that BP : PC = 3 : 4 and Q is the midpoint of AP. Then ar( ABQ): ar( ABC) is equal to:

 A) 3 : 8 B) 2 : 7 C) 1 : 4 D) 3 : 14

Answer & Explanation Answer: D) 3 : 14

Explanation:

0 5
Q:

Chords AB and CD of a circle intersect at a point P inside the circle. If AB = 10 cm, AP = 4 cm and PC = cm, then CD is equal to:

 A) 4.8 cm B) 9.8 cm C) 7.8 cm D) 6.8 cm

Answer & Explanation Answer: B) 9.8 cm

Explanation:

0 33
Q:

Triangle  ABC ~ Triangle RQP and PQ = 10 cm, QR = 12 cm and RP = 16 cm. If ar( triangle PQR): ar ( triangle  ABC) =  9/4 , then BC is equal to:

 A) 8 cm B) 6 cm C) \frac{20}{3} cm D) \frac{32}{3} cm

Answer & Explanation Answer: C) \frac{20}{3} cm

Explanation:

0 59
Q:

In triangle ABC, P is a point on BC such that BP : PC = 2 : 3 and Q is the mid point of AP. Then ar(triangle ABQ): ar(triangle ABC) is equal to:

 A) 1:5 B) 1:4 C) 2:3 D) 2:5

Explanation:

0 49
Q:

In a circle with centre O, AB is a diameter and CD is a chord such that ABCD is a trapezium. If angle BAC = 28 deg, then angle CAD is equal to:

 A) 32^\circ B) 62^\circ C) 34^\circ D) 28^\circ

Explanation:

0 65
Q:

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

 A) 8 B) 32 C) 4 D) 16

Explanation:

1 38
Q:

Triangle ABC ~ Triangle EDF and ar(ABC) : ar(DEF) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC = 10 cm, then DF is equal to:

 A) 9 cm B) 12 cm C) 15 cm D) 18 cm

Answer & Explanation Answer: B) 12 cm

Explanation: