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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: How much money do Vivek and Suman have together ? Statements:
  1. Suman has 20 rupees less than what Tarun has.
  2. Vivek has 30 rupees more than what Tarun has.

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:D - Neither I nor II is sufficient

Explanation: From I, we have: S = T - 20. From II, we have: V = T + 30. Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10). So, to get the required amount, we need to know the amount that Tarun has.