Question

In a queue, Amrita is 10th from the front while Mukul is ${25}^{th}$ from rear and Mamta is in the middle of the two. If there are 50 persons in the queue, what position does Mamta occupy from the front?

• A. ${20}^{th}$
• B. ${19}^{th}$
• C. ${18}^{th}$
• D. ${17}^{th}$

Answer 1

Answer: (C)

${18}^{th}$

Amrita is ${10}^{th}$ from the front means $9$ persons are before Amrita. Also, Mukul is ${25}^{th}$ from rear means $24$ persons are before Mukul.
$\therefore$ Total number of persons $=50$
Total number of persons between Amrita and Mukul
$=50-(9+1+1+24)$
$=15$
Since, Mamta is in the middle of Amrita and Mukul
$=\frac{15+1}{2}$
$=8^{th}$ from Amrita
$\therefore$ Mamta's rank from the front
$=9+1+8={18}^{th}$.

Hence the answer is option C