Question

A man purchases 13 dozens of mangoes of which some are ripe and some raw.

Which of the following can be the ratio of ripe mangoes to raw mangoes?​

Answer 1

Answer:

Here,

Let N represent no of mangoes.

Then, analyzing the question we can write,

N=2a + 1

N=3b + 2

N=4c + 3

N=5d + 4

N=6e + 5

N=7f

Add 1 on both sides in all the equations. Then,

N+1=2a + 2=2(a+1)

Similarly,

N + 1=3(b +1)

N + 1=4(c +1)

N + 1=5(d +1)

N + 1=6(e +1)

N + 1=7f + 1

This means when that number is increased by 1,it is divisible by 3,4,5, and 6. The second least number divisible by 3, 4, 5 and 6 is 120. We ignore least no 60 as 59 is not divisible by 7. So the number N +1 should be 120x where x is any positive integer.

Take least value of n so that N + 1=120

So, N=120-1=119.

So 119 is the correct answer

$\huge\mathfrak\red{ hope \: it \: helps \: you}$