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

Subject: HCF and LCM
Q:

Find the Greatest Common Factor of 280 and 144.

A) 2 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:
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5 856
Q:

Find the LCM of 34, 51 and 68.

A) 238 B) 102
C) 136 D) 204
 
Answer & Explanation Answer: D) 204

Explanation:
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1 1226
Q:

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is

A) 60 B) 36
C) 72 D) 48
 
Answer & Explanation Answer: B) 36

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3 833
Q:

Find the LCM of 12, 16, 20 and 24.

A) 180 B) 220
C) 240 D) 260
 
Answer & Explanation Answer: C) 240

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3 815
Q:

The HCF of 24, 60 and 90 is:

A) 3 B) 6
C) 12 D) 4
 
Answer & Explanation Answer: B) 6

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7 844
Q:

Find the HCF & LCM of 16, 24.

A) 8, 48 B) 4, 12
C) 2, 24 D) 4, 48
 
Answer & Explanation Answer: A) 8, 48

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4 863
Q:

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

A) 60 B) 55
C) 50 D) 65
 
Answer & Explanation Answer: B) 55

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5 1167
Q:

Find the largest number of three digits exactly divisible by 15, 18, 27 and 30.

A) 870 B) 900
C) 810 D) 780
 
Answer & Explanation Answer: C) 810

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5 1392