Data Sufficiency — Gagan’s exact age Statements: I. Gagan, Vimal and Kunal are all of the same age. II. The total age of Vimal, Kunal and Anil is 32 years, and Anil is as old as Vimal and Kunal together. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
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AI alone is sufficient while II alone is not sufficient
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BII alone is sufficient while I alone is not sufficient
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CEither I or II is sufficient
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DNeither I nor II is sufficient
Answer
Correct Answer: Neither I nor II is sufficient
Explanation
Let ages be: V, K, A (Anil), G (Gagan)
Statement I G = V = K. No numeric values ⇒ insufficient.
Statement II V + K + A = 32 and A = V + K ⇒ 2(V + K) = 32 ⇒ V + K = 16, A = 16. Individual V, K unknown ⇒ insufficient.
Together (note) From I, V = K ⇒ V + K = 16 ⇒ V = K = 8 ⇒ then G = 8. However, neither statement alone is sufficient.
Answer per options Neither I nor II is sufficient.