Question

There are 540 mangoes and 280 apples in a box. The teacher wants to distribute these equally among children (each child gets the same number of apples and a same number of mangoes). What is the maximum number of children among which she can distribute the fruits?

• A. 20
• B. 40
• C. 60
• D. 30

Answer 1

The correct option is A

20

If fruits are to be distributed among x children, 540 and 280 must be perfectly divisible by x which will be the H.C.F of 540 and 280.
Therefore, x = HCF (540 ,280)

Step 1: 540 = 280 $\times$ 1 + 260
Step 2: 280 = 260 $\times$ 1 + 20
Step 3: 260 = 20 $\times$ 13 + 0
$\therefore$ HCF = 20
The fruits can be distributed among 20 students.