169
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 = a x a

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

New side =  = 

New area = 

increased area= 

Increase %=  % = 56.25%

Q:

In an old Palace there are 50 stairs to go on top floor. Each is 20 cm high, 30 cm wide and 60 cm long. If all the stairs are re-plastered at the rate of Rs. 4 per 100 sq.cm. What is the expenditure ?

A) Rs. 4680 B) Rs. 7600
C) Rs. 6000 D) Rs. 5480
 
Answer & Explanation Answer: C) Rs. 6000

Explanation:

Total are of all stairs = 50 (20x60 + 30x60)

= 50 (1200 + 1800)

= 50 x 3000

= 150000 sq cm.

Given rate of 100 sq cm = Rs. 4

Then for 150000 sq. cm = ?

=> 4 x 150000/100 = Rs. 6000

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5 62
Q:

Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar  ?

A) 720 B) 600
C) 660 D) 6000
 
Answer & Explanation Answer: A) 720

Explanation:

Let the number of bricks be 'N'

10 x 4/100 x 6 x 90/100 = 25/100 x 15/100 x 8/100 x N

10 x 4 x 6 x 90 = 15 x 2 x N => N = 720.

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4 366
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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6 614
Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40 B) Rs. 1024.21
C) Rs. 2810.6 D) Rs. 3214
 
Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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6 371
Q:

What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high  ?

A) 13 m B) 14 m
C) 15 m D) 16 m
 
Answer & Explanation Answer: A) 13 m

Explanation:

the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is

=>  mts.

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7 471