Data sufficiency Questions and Answers with Explanation-1

Directions (1 – 2): Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Read both statements and

Give 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.

Give answer 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.

Give answer C) If the data in statement I alone or in statement II alone are sufficient to answer the question.

Give answer D) If the data in both the statements I and II are not sufficient to answer the question.

Give answer E) if the data in both the statements I and II together are necessary to answer the question.

1) Who among P, Q, R, S, T, V and W is the shortest?

I. S is taller than T, P and W and is not the tallest.

II. T is shorter than Q but is not the shortest.

Answer: D.

Explanation: From statement I —> S > T, P and W. S is not the tallest. So, Q or R or V is the tallest. And the shortest may be T or P or W.

From statement II —> T < Q, but not the shortest. So, the shortest may be P or W or S or R or V.

From both the statements —> The shortest may be T or P or W. So, we can not decide who is the shortest.

2) What is Mrudula’s rank from top in a class of twenty students?

I. Radhika is fifth from the top and two ranks above Mrudula.

II. Amol is tenth from the bottom and three ranks below Mrudula.

Answer: C.

Explanation: From statement I —> Mrudula’s rank from the top = 7th ( 5 + 2 ).

So, the given data is sufficient to answer the question.

From statement II —> Mrudula’s rank from the top = Amol’s rank from the top ( 11th ) –

3 = 8th (Amol’s rank from the bottom —> 10th , and 10 students are there above Amol. So, his rank is 11th from the top. Second statement alone is also sufficient to answer the question.

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