Question

In a row of girls, Manasa is eighth from the left and Indu is seventeenth from the right. If they interchange their positions, Manasa becomes fourteenth from the left. How many girls are there in the row?

• A. 30
• B. 25
• C. 22
• D. 31

Hint:

For row problems involving left and right positions, use the formula: Left Position + Right Position - 1 = Total number of people.

Answer 1

The Correct Option is D

Step 1: Setup equations.
Initially, Manasa is 8th from left. After interchanging, she becomes 14th from left.
Step 2: Distance between the two.
Number of positions between them = \(14 - 8 = 6\).
Step 3: Total number of girls.
We know: \[ \text{Position of Indu from right} + \text{Position of Manasa from left} - 1 = \text{Total girls} \] Substituting values: \[ 17 + 14 - 1 = 30 \]
Thus, the total number of girls = 30.
However, when we carefully observe, after interchanging, Manasa becomes 14th from left. So total girls = 17 + 14 - 1 = 30.
Thus, the correct number is 30.
Correction: The correct answer is (1) 30.