A group of students is standing in a single straight row facing South. Arjun is 26^{\text{… — State PSC Exam

A group of students is standing in a single straight row facing South. Arjun is $26^{\text{th}}$ from the left end of the row, and Bhavya is $19^{\text{th}}$ from the right end of the row. When Arjun shifts $7$ places towards his left, he exactly occupies the middle position of the row. What is Bhavya's position from the left end of the row?

$47^{\text{th}}$ Answer
B
$19^{\text{th}}$
C
$46^{\text{th}}$
D
$18^{\text{th}}$

Answer

Bhavya is exactly

47^{\text{th}}

from the left end of the row.

By properly recognizing that facing South reverses anatomical left and right relative to the row's ends, we determine Arjun's new position is

26 + 7 = 33

. A middle position of

33

yields a total of

65

students. Bhavya's position from the left is then calculated by subtracting her right-end rank from the total and adding

1

(

65 - 19 + 1 = 47

Step-by-Step Solution

Determine Arjun's movement direction relative to the row.

Arjun shifts towards the right end of the row.

Since the row is facing South, a person's personal left hand points towards the right end (geographic East) from an external observer's perspective.

Calculate Arjun's new position from the left end.

Arjun's new position is

26 + 7 = 33^{\text{rd}}

from the left end.

He was initially

26^{\text{th}}

and moved

7

places further away from the left end.

Determine the total number of students in the row (

N

The total number of students is

65

Since the

33^{\text{rd}}

position is exactly in the middle, the total is calculated as

N = (33 \times 2) - 1 = 65

Calculate Bhavya's position from the left end.

Bhavya is

47^{\text{th}}

from the left end.

Using the formula: Left Position = Total (

N

) - Right Position +

1

. Thus,

65 - 19 + 1 = 47

Key Concept

Directional awareness in linear arrangements and position reversal formulas.

Estimated Time:1m 15s

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