631
Q:

If each side of a square is increased by 25%, find the percentage change in its area?

A) 65.25 B) 56.25
C) 65 D) 56

Answer:   B) 56.25



Explanation:

let each side of the square be a , then area = a2 

As given that The side is increased by 25%, then 

New side = 125a/100 = 5a/4 

 

New area = 5a42  

 

Increased area= 25a216-a2 

 

Increase %=9a2/16a2*100  % = 56.25%

Q:

A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?

A) 64π sq cm B) 25π sq cm
C) 36π sq cm D) 49π sq cm
 
Answer & Explanation Answer: B) 25π sq cm

Explanation:
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0 1
Q:

A tent is to be built in the form of a cylinder of radius 10 m surmounted by a cone of the same radius. If the height of the cylindrical part is 5 m and slant height of the conical part is 15 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

A) 4714.43 sq m B) 3772.14 sq m
C) 6783.86 sq m D) 2451.42 sq m
 
Answer & Explanation Answer: D) 2451.42 sq m

Explanation:
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0 1
Q:

From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm

A) 21 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: C) 18

Explanation:
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0 5
Q:

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

A) π (rxr) B) 2r
C) (r + 2) D) π (rxr)/2
 
Answer & Explanation Answer: B) 2r

Explanation:
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0 1
Q:

Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm

A) 1152 B) 1024
C) 956 D) 1232
 
Answer & Explanation Answer: D) 1232

Explanation:
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1 60
Q:

Find the perimeter (in cm) of a semicircle of radius 28 cm.

A) 288 B) 144
C) 121 D) 242
 
Answer & Explanation Answer: B) 144

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0 7
Q:

The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

A) 12 B) 24
C) 48 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:
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0 28
Q:

The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is

A) 6 cm B) 7.5 cm
C) 4.5 cm D) 8 cm
 
Answer & Explanation Answer: B) 7.5 cm

Explanation:
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0 5