21
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

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:

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

Explanation:

7 883
Q:

The LCM of

 A) 25x3y5 B) 15x3y5 C) 12x3y3 D) 60x3y5

Explanation:

5 4992
Q:

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

 A) 1400 B) 1225 C) 1575 D) 1800

Explanation:

3 9567
Q:

What is the HCF of 132 and 176?

 A) 33 B) 66 C) 44 D) 22

Explanation:

4 4139
Q:

The HCF of 96, 156 and 60 is

 A) 3 B) 48 C) 12 D) 4

Explanation:

6 837
Q:

The LCM of 60 and 54 is

 A) 6 × 5 × 9 B) 6 × 10 × 3 C) 6 × 10 × 9 D) 60 × 54

Explanation:

4 6380
Q:

The LCM of 145 and 87 is:

 A) 580 B) 725 C) 290 D) 435

Explanation:

4 5975
Q:

Find the HCF of 48, 92 and 140.

 A) 8 B) 6 C) 4 D) 3