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CAT 2023
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DATA SUFFICIENCY

This section consists of problems in which a question on any topic such as Coding-Decoding, Puzzle Test, Blood Relations, Mathematical calculations etc., is put forward, followed by certain statements containing facts providing clues to solve the question.  The candidate is required to find out which of the given statements is/are sufficient to answer the given question. These questions are about working out what is necessary and sufficient data to be able to answer a question.

Example:      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)              Only I or Only II

(c)              Only II

(d)              II and III together

(e)              I and II together or I and III together

Answer:        From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period at 11 a.m.  So, the Chemistry period began at 10.00 a.m.

From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m. So the correct answer is (e).

Example:       How many sons does X have?

(I)                Q and U are brothers of T.

(II)             R is sister of P and U.

(III)           R and T are daughters of X.

(a)              I and II only

(b)              II and III together

(c)              I, II and III together

(d)              I, II and III together are not sufficient

(e)              None of these

Answer:        (e) The information given in the three statements together is also not sufficient to answer the given question.

Question:

Number System

Q1)  The number plate on a car shows that its number is a perfect square and when the number plate is turned upside down, the number is still a perfect square. What is the possible value of the car plate number?

a)  169

b)  36

c)  196

d)  625

e)  125

Q2) How many 3’s you have to write down while writing the numbers from 3301 to 3401?

a)  220

b)  218

c)  120

d)  198

e)  100

Number System

196, which is 142, when turned upside down reads 961 which is 312.