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MAT Exam 2022 Paper

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Question : 72 of 200

Marks: +1, -0

In a queue of children, Kashish is fifth from the left and Mona is sixth from the right. When they interchange their places among themselves, Kashish becomes thirteenth from the left. Then, what will be Mona's position from the right?

$4^{\text{th}}$
$14^{\text{th}}$
$8^{\text{th}}$
$15^{\text{th}}$

Solution:

Concept:

When two people interchange places, each takes the other's exact position in the queue. From that we can find the total strength of the queue.

Explanation:

Kashish is initially

5^{\text{th}}

from the left.

After interchanging, Kashish becomes

13^{\text{th}}

from the left.

So Mona's original position was

13^{\text{th}}

from the left.

Mona was also

6^{\text{th}}

from the right.

Thus, total number of children in the queue is:

13 + 6 - 1 = 18

After interchanging, Mona takes Kashish's original position, which is

5^{\text{th}}

from the left.

Hence, Mona's position from the right is:

18 - 5 + 1 = 14^{\text{th}}

Answer:

Mona is

14^{\text{th}}

from the right.

Correct option: B.

14^{\text{th}}

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