Two independent rows: Veena is 12th from the start and 19th from the end in one row, while Sunita is 14th from the start and 20th from the end in another row. How many girls are there in both rows together?

Introduction / Context:
This item gives two separate rows. For each, use the “sum minus 1” rule to find the individual row size, then add the two totals.

Given Data / Assumptions:

• Row 1 (Veena): left = 12, right = 19.
• Row 2 (Sunita): left = 14, right = 20.

Concept / Approach:
For a single row: N = left + right − 1. Compute for both rows and add.

Step-by-Step Solution:

Verification / Alternative check:
Check each row via right = N − left + 1: For N1 = 30, right = 30 − 12 + 1 = 19; for N2 = 33, right = 33 − 14 + 1 = 20.

Why Other Options Are Wrong:

• 61, 65, 72: Misapplication of the formula or arithmetic slips.
• None of these: A correct option exists (63).

Common Pitfalls:
Confusing the two rows as one, or forgetting to subtract 1 for each.

Final Answer:
63