Question

Four married couples competed in a singing competition. Each couple had a unique team name. Points scored by the teams were 2, 4, 6 and 8. The 'Sweet Couple' won 2 points. The 'Bindas Singers' won two more points than Laxman's team. Mukesh's team won four points more than Lina's team, but Lina's team didn't score the least amount of points. 'Just Singing' won 6 points. Waheda wasn't on the team called 'New Singers'. Sanjeev's team won 4 points. Divya wasn't on the 'Bindas Singers' team. Tapas and Sania were on the same team, but it wasn't the 'Sweet Couple'.

The teams arranged in the ascending order of points are:

• A. Bindas Singers, Just Singing, New Singers, Sweet Couple
• B. Sweet Couple, New Singers, Just Singing, Bindas Singers
• C. New Singers, Sweet Couple, Bindas Singers, Just Singing
• D. Sweet Couple, Bindas Singers, Just Singing, New Singers

Hint:

Fix the two named scores first (Sweet Couple = 2, Just Singing = 6), then use the Tapas and Sania clue to rule out one of the two ways to split 4 and 8 between Bindas Singers and New Singers.

Answer 1

The Correct Option is D

Rather than solving for every person, this question only needs the four team scores, so we can stop as soon as those are fixed.

1. Two scores are free: Sweet Couple = 2 and Just Singing = 6 come straight from the clues that name them.
2. The other two scores need a branch test: Bindas Singers and New Singers share 4 and 8. If Bindas Singers were 8, Laxman's team (two less) would be Just Singing, Sanjeev (score 4) would land on New Singers, and the only leftover team, Sweet Couple, would have to go to Tapas, contradicting the rule that Tapas and Sania were not on Sweet Couple.
3. So Bindas Singers = 4 and New Singers = 8: this makes Laxman's team score 2 (Sweet Couple) and lets Sanjeev, who scores 4, sit on Bindas Singers, with nothing left to contradict.
4. Cross-check with Mukesh and Lina: their scores must differ by four with Lina not lowest, which only works as Lina = 4, Mukesh = 8, again matching Bindas Singers = 4 and New Singers = 8.

So the four scores stand at Sweet Couple 2, Bindas Singers 4, Just Singing 6, New Singers 8.

Let's summarize:

• Two scores are handed to us directly by team name.
• The Tapas and Sania clue is what breaks the tie between the two ways of splitting 4 and 8.

Arranged from lowest to highest: Sweet Couple, Bindas Singers, Just Singing, New Singers.