Q. Suraj took one-third of a birthday cake. Half of the remaining part was taken by Chanda, leaving the leftover for Tara. How much of the cake did Tara get?
(ADRE 2024)
(A) One-fourth
(B) One-fifth
(C) One-third
(D) One-sixth
Answer:- (C) One-third
Solution:-
Let’s break down the problem step by step:
Total Cake: Let’s assume the whole cake is represented as 1 (or 100%).
- Suraj took 1/3 of the cake.
- Remaining cake: 1 – 1/3 = 2/3
- Chanda took half of the remaining cake: (1/2) of (2/3) = (1/2) × (2/3) = 1/3
- So, Tara got the remaining part, i.e. 1/3
Therefore, Tara got one-third of the cake.
So, the correct answer is (C) One-third.