Data Sufficiency - Verbal and Reasoning

Directions to SolveIn each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements andGive answer
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Q1:

Question: What is Gagan's age ? Statements:
  1. Gagan, Vimal and Kunal are all of the same age.
  2. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

A I alone is sufficient while II alone is not sufficient

B II alone is sufficient while I alone is not sufficient

C Either I or II is sufficient

D Neither I nor II is sufficient

E Both I and II are sufficient

ANS:E - Both I and II are sufficient

Explanation: As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K. Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16. Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.