Question

In a row of forty children, P is thirteenth from the left end and Q is ninth from the right end. How many children are there between P and R, if R is fourth to the left of Q?

• A. $12$
• B. $13$
• C. $14$
• D. $15$

Answer 1

Answer: (C)

$14$

We have to find how many children are there between $P$ and $R$.

$Q$ is the $9th$ from the right end and $R$ is fourth to the left of $Q$, so $R$ is $13th$ from the right end.

Number of children to the left of $R$ is $40-13=27$

Thus $R$ is $28th$ from the left end. Also, $P$ is $13th$ from the left end.

Clearly, there are $14$ persons between $P$ and $R$

Diagrammatic representation is shown below

Children between $P$ and $R$ is $40-(13+4+9)=14$