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Manish is eighteenth from the right end and Rahul is fifth from the left end in a row of boys. If there are seven boys between Manish and Rahul, how many boys are there in the row?

Solution

✅ Correct Option: 2

Manish is 18th from the right end.

Rahul is 5th from the left end.

There are 7 boys between Manish and Rahul.


Since Rahul is 5th from the left and there are 7 boys between Rahul and Manish, Manish's position from the left is:

Position of Manish from left =5+7+1= 5 + 7 + 1

Position of Manish from left =13= 13


Manish is 13th from the left and 18th from the right.

Total number of boys =Position from left+Position from right−1= \text{Position from left} + \text{Position from right} - 1

Total number of boys =13+18−1= 13 + 18 - 1

Total number of boys =30= 30


Verification:

  • Total boys = 30
  • Rahul: 5th from left
  • Manish: 18th from right = (30−18+1)=13(30 - 18 + 1) = 13th from left
  • Boys between them = 13−5−1=713 - 5 - 1 = 7 ✓

Therefore, there are 30 boys in the row.

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