Question

a heap of stones can be made up into groups of 21. when made up into groups of 16 20 25 and 45 there are 3 stonea left in each case. how many stones at least can there be in the heap​

Answer 1

Answer:

7203

Step-by-step explanation:

Number of stones = LCM of (16,20,25,45)×k+3=3600 k+3

Since the stones can be made up into groups of 21

∴ 9k+3 is divisible by 21 when k=2

∴ Least number of stones =3600×2+3=7203

Answer 2

Answer:4803

Hint: It is given that heap of stones can be made up into groups of 21, meaning it is divisible by 21. And for groups 16, 20, 25 and 45 there are three stones left in each case means the remainder is three.