DS 3 statements

Q. Five friends — Aka, Bka, Cka, Dka and Eka are sitting in a row. Among all who is sitting in the middle?

I. Bka is in between Eka and Cka.

II. Bka is to the right of Eka.

III. Dka is in between Aka and Eka.Which of the following statement or statements is / are sufficient to answer the question?

A.Statement I and II together

B.Statement II and III together

C. Statement I and III together

D.Statement I, II and III together

E. Data is not sufficient

Solution:

C is correct response  Check Statements I and III togetherI: B is between E and C.Possible:E – B – C orC – B – E

III: D is between A and E.Try arranging:

Case 1:E – B – C

Since D must be between A and E:

A – D – E – B – C Middle = E

Case 2:C – B – E

Then:C – B – E – D – A

Middle again = ESo in both valid arrangements, Eka is always in the middle.

✅ Therefore Statements I and III together are sufficient.