Find two numbers whose HCF is 1 and LCM is 66. Class 7

Find two numbers whose HCF is 1 and LCM is 66. Class 7

Question 1.

Find two numbers whose HCF is 1 and LCM is 66. Class 7

Solution:

1 and 66; 2 and 33; 3 and 22; 6 and 11.

Question 2.

A cowherd took all his cows to graze in the fields. The cows cUme to a crossing with 3 gates. An equal number of cows passed through each gate. Later at another crossing with 5 gates again an equal number of cows passed through each gate. The same happened at the third crossing with 7 gates. If the cowherd had less than 200 cows, how many cows did he have? (Based on the folklore mathematics from Karnataka.) Class 7

Solution:

LCM = 3, 5 and 7 = 105, which is less than 200.

He had 105 cows.

Question 3.

The length, width, and height of a box are 12 cm, 18 cm, and 36 cm respectively. Which of the following sized cubes can be packed in this box without leaving gaps? Class 7

(a) 9 cm

(b) 6 cm

(c) 4 cm

(d) 3 cm

(e) 2 cm

Solution:

HCF of 12, 18, 36 cm is 6 cm.

So, 6 cm sized cubes can be packed without leaving gaps.

Answer. (b)