20
Q:

A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

A) 107 B) 117
C) 127 D) 137

Answer:   B) 117



Explanation:

Let us calculate both the length and width of the room in centimeters.

Length = 6 meters and 24 centimeters = 624 cm

width = 4 meters and 32 centimeters = 432 cm

As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.

Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48

Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117

Q:

Find the LCM of 96, 144 and 150.

A) 1440 B) 3600
C) 7200 D) 2400
 
Answer & Explanation Answer: C) 7200

Explanation:
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4 541
Q:

The ratio of two numbers is 5 : 6 and their LCM is 150. Find the sum of the two numbers.

 

 

A) 50 B) 60
C) 54 D) 55
 
Answer & Explanation Answer: D) 55

Explanation:
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6 2378
Q:

Find the LCM of 63 and 140.

 

A) 126 B) 63
C) 14 D) 1260
 
Answer & Explanation Answer: D) 1260

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1 1289
Q:

Consider a two-digit number. The difference between the number and the number we get when its digits are reversed is 27. If the sum of the digits in the given number is 9, find the HCF of the number and the number when its digits are reversed.

 

A) 6 B) 4
C) 9 D) 5
 
Answer & Explanation Answer: C) 9

Explanation:
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4 508
Q:

The LCM of 15x3y4 and 12x2y5

 

A) 25x3y5 B) 15x3y5
C) 12x3y3 D) 60x3y5
 
Answer & Explanation Answer: D) 60x3y5

Explanation:
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1 1650
Q:

The LCM of the three numbers 45, 25 and 35 is:

 

 

A) 1400 B) 1225
C) 1575 D) 1800
 
Answer & Explanation Answer: C) 1575

Explanation:
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1 2244
Q:

What is the HCF of 132 and 176?

 

A) 33 B) 66
C) 44 D) 22
 
Answer & Explanation Answer: C) 44

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2 1508
Q:

The HCF of 96, 156 and 60 is

A) 3 B) 48
C) 12 D) 4
 
Answer & Explanation Answer: C) 12

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4 431