CAT 2022 Question Paper | DILR Slot 1

CAT Questions

CAT 2022 DILR saw a change in patter. Unlike the previous years, all the four sets had 5 questions this year. There were 6 TITA Qs this year. Atleast two sets were doable in each slot and one of the four sets was extremely tough. Choice of Sets became a crucial factor. Overall this section was at a medium to high level of difficulty.

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

1. Only one goal was scored in every even numbered match.
2. Harita scored more goals than Bimla.
3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Question 13 : Which of the following statement(s) is/are true?

Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.

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Video Explanation

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Explanatory Answer

Total goals = 12. We know that 1 + 2 + 3 + 4 = 10. This is the minimum if each player scores a different number of goals. So, we are looking at either
1 + 2 + 3 + 6
or 1 + 2 + 4 + 5.
Two players have scored 1 and 2 goals each for sure.

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The question is " Which of the following statement(s) is/are true?

Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match. "

Hence, the answer is 'Both the statements'

Choice B is the correct answer.

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