40
Q:

Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

A) 84 B) 64
C) 44 D) 22

Answer:   A) 84



Explanation:

Let a = 13, b = 14 and c = 15. Then, s=12a+b+c=21

 (s- a) = 8, (s - b) = 7 and (s - c) = 6.


Area =ss-as-bs-c =21×8×7×6 = 84 sq.cm   

Q:

The arc ABC of a circle with centre O subtends 132 at the centre. The chord AB is extended to the point P. The angle CBP is equal to

 

A) 48 deg B) 66 deg
C) 76 deg D) 68 deg
 
Answer & Explanation Answer: B) 66 deg

Explanation:
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0 20
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:
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1 37
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:
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0 36
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:
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0 51
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:
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0 87
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
 
Answer & Explanation Answer: A) 1:5

Explanation:
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0 83
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
 
Answer & Explanation Answer: C) 34^\circ

Explanation:
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0 80
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
 
Answer & Explanation Answer: A) 8

Explanation:
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1 89