In a group of six women, there are four dancers, four vocal musicians, one…

Concept: This is an attribute-based multi-variable arrangement -- several roles (dancer, vocal musician, violinist, actress) are distributed over a fixed set of people using direct statements and category totals. List every person against every role, mark what is explicitly given or explicitly ruled out, then use elimination to force any role left unstated before reading off the requested intersection of two roles.

Application: All six women are named: Girija, Vanaja, Jalaja, Shailaja, Tanuja and Pooja.

1. Fix the violinist trio (3 people) by elimination: Girija and Vanaja are stated violinists (2 of 3). The four vocal musicians are named as Jalaja, Vanaja, Shailaja and Tanuja, and exactly two of these four are also violinists. Since Jalaja and Shailaja are explicitly ruled out from playing the violin, that remaining pair of violinist-vocal-musicians must be Vanaja and Tanuja.

2. So the violinist trio is Girija, Vanaja and Tanuja.

3. Separately, the stem states Shailaja and Tanuja are among the dancers.

4. Combining both results: Tanuja is a violinist (from the elimination above) and a dancer (given directly), making her the match the question is looking for among the four named options.

Cross-check: Testing each of the four offered names against both attributes independently confirms the same result: Pooja is not one of the four vocal musicians, so she is never counted into the violinist trio; Shailaja and Jalaja are explicitly barred from the violin by the stem despite their other roles; Tanuja alone clears both the dancer and violinist conditions, matching what the question asks for.