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Q:

Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?

A) 187 cm B) 178 cm
C) 149 cm D) 194 cm

Answer:   B) 178 cm



Explanation:

Area of square = 40 x 40

= 1600 sq.cm

Given that the areas of Square and Rectangle are equal

=> Area of rectangle = 1600 Sq.cm

We know that, Area of rectangle = L x B

Given L = 64 cm

Breadth of rectangle = 1600/64 = 25 cm

Perimeter of the rectangle = 2(L + B) = 2(64+25) = 178 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:
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0 1
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 4
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 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:
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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
 
Answer & Explanation Answer: A) 1:5

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

Explanation:
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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
 
Answer & Explanation Answer: A) 8

Explanation:
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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:
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