Question

Directions: Twenty students are standing in a straight line facing north. Rina is standing sixth from the left end. There are only three students between Rina and Shweta. Radha is standing exactly between Shweta and Rina. Tina is standing sixth to the right of Radha. Anita is standing fourth from the right end of the line. There are more than four students between Rina and Tina.

How many people are standing between Anita and Tina?

• A. One
• B. Two
• C. Three
• D. None

Hint:

First fix everyone's position from the left end using the given clues, testing both possibilities for Shweta's position.

Answer 1

The Correct Option is B

A quicker way is to lay out the line as a simple position chart and slot in each name once the case-check is done.

1. Set the anchors: Positions run 1 to 20 from left to right. Rina = 6 (sixth from left). Anita = 17 (fourth from right, since \(20-4+1=17\)).
2. Resolve Shweta, Radha and Tina: Shweta is 4 away from Rina (three students between them), so Shweta = 2 or 10. Radha sits midway between Shweta and Rina, and Tina sits 6 to the right of Radha. Testing Shweta = 2 gives Radha = 4, Tina = 10, leaving only 3 students between Rina and Tina, which breaks the "more than four" condition. Testing Shweta = 10 gives Radha = 8, Tina = 14, leaving 7 students between Rina and Tina, which fits.

Position chart (left to right): 1 ... Rina(6) ... Radha(8) ... Shweta(10) ... Tina(14) ... Anita(17) ... 20.
Between Anita(17) and Tina(14) lie positions 15 and 16, i.e. 2 students. Option B is correct. \[ \boxed{2} \]