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Data Sufficiency - CAT 2013
Question 4 the day:
May 17, 2002
The question for the day is a data sufficiency question.
In this question, there is a question statement which is followed by two statements. You have to decide whether the data provided in the two statements is sufficient for answering the question.
- Mark 1
- If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
- Mark 2
- If the question can be answered by using either statement alone.
- Mark 3
- If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
- Mark 4
- If the question cannot be answered even by using both the statements together.
- Question
- What is the temperature in the city of Chennai on Tuesday if the temperature on Monday was 38o?
(A) The average of the temperatures on Monday, Tuesday and Wednesday is 40o.
(B) The average of the temperatures on Tuesday, Wednesday and Thursday is 42o.
Correct Answer - (4)
Solution
Temperature on Monday was 38o.
From statement 1. The average temperature on M, Tu, W is 40o. Therefore, the sum of the temperatures on these three days, M + Tu + W = 120o. We can find out the sum of the temperatures on Tuesday and Wednesday = Tu + W = 120 - 38 = 82o. However, at this stage we do not know the temperature of Tuesday alone. Hence the data in Statement 1 alone is not sufficient to answer the question. Hence the answer choice is not (2). It has to be either (1), (3) or (4)
Statement 2. The average temperature on Tu, W and Th is 42o. Therefore, the sum of the temperatures on these three days, Tu + W + Th= 126o. From this statement alone we will not be able to find out the temperature on Tuesday. Hence the data in statement 2 alone is not sufficient to answer the question. Hence the answer choice is not (1) and (2). It has to be either (3) or (4).
Statement 1 and Statement 2. We know the sum of the temperatures on Tu and We and the sum of the temperatures on Tu, We and Thu. From this we will be able to find the temperature on Thursday.
However, we will not be able to find the temperature on Tuesday with the data that is provided in both the statements together.
Hence the answer choice is (4).
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