Concept of Data Sufficiency:

Data Sufficiency consists of problems in which a question on any topic such as Coding-Decoding, Blood Relations, Puzzle Test, Direction Sense Test, Ranking and Time Sequence Test, Arithmetical Reasoning, etc. is given followed by certain statements containing facts providing clues to solve the question. In this topic, the problems are not only related to reasoning, it may be from aptitude topics also. The candidate is required to find out which of the given statements is/are sufficient to answer the given question.

Eg: Directions: Each of the question 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 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;

(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.

1) What does ‘nip’ stand for in a code language?

I. In the code language, ’that is very beautiful’ is written as ‘se nip sre num’.

II. In the same code language, ‘my house is beautiful’ is written as ‘nip sto sre tip’.

2) How is J related to P?

I. M is brother of P and T is sister of P.

II. P’s mother is married to J’s husband who has one son and two daughters.

3) Five friends P, Q, R, S and T are standing in a row facing East. Who is standing at the extreme right end?

I. Only P is between S and T. R is to the immediate right of T.

II. R is between T and Q.

4) Among A, B, C, D and E, who is in the middle while standing in a row?

I. C, who is third to the left of D, is to the immediate right of A and second to the left of E.

II. C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends.

5) P, Q, R and S are sitting around a circle facing at the centre. Who is to the immediate right of Q?

I. R is between P and S.

II. S is to the immediate right of R.

6) What is Suman’s rank from the top in a class of forty students?

I. Suman is 3 ranks below Deepak from the top.

II. Deepak’s rank from the bottom is 23.

III. Suman is 3 ranks above Deepak from the bottom.

(a) Any two of the three             (b) Only I and II      (c) Only II and III

(d) All I, II and III                      (e) Only II and either I or III

7) Four subjects – Physics, Chemistry, Mathematics and Biology – were taught in four consecutive periods of one hour each starting from 8:00 a.m. At what time was the Chemistry period scheduled?

I. Mathematics period ended at 10:00 a.m., which was preceded by Biology.

II. Physics was scheduled in the last period.

III. Mathematics period was immediately followed by Chemistry.

(a) Only I                       (b) Either I only or II only           (c) Only II

(d) Only II and III          (e) Only I and either II or III

8) The area of a playground is 1600 square metres. What is its perimeter?

I. It is a perfect square playground.

II. It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metres.

9) How many pages of book X did Robert read on Sunday?

I. The book has 300 pages out of which two-thirds were read by him before Sunday.

II. Robert read the last 40 pages of the book on the morning of Monday.

10) What is Gagan’s age?

I. Gagan, Vimal and Kunal are all of the same age.

II. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together

Q1. Two friends P and Q together can complete a piece of work in 12 days. In how many days P alone complete the piece of work?

Statement I: Q alone can complete half of the work in 10 days. 

Statement II: P is 20% more efficient than Q.

A) The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B) The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C) Either Statement I or Statement II alone is sufficient to answer the question.

D) Neither statement I nor statement II is sufficient to answer the questions.

E) The data in both the statements I and II together is necessary to answer the question.

SOLUTION:

From the statement I, we can conclude the number of days A alone will take to complete the work. 

From the statement II, efficiency is given so it is easy to find the number of days, A alone or B alone will take to complete the work.

Therefore, either Statement I or Statement II alone is sufficient to answer the question.

ANSWER: C

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