CAT 2022 Slot 1 — DILR Question 20
Answer the next 5 questions based on the information given below:
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.
If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?
Statement-1: Amla scored goals in consecutive matches.
Statement-2: Sarita scored goals in consecutive matches.
Answer & solution
- A
Statement-1 only
None of the statements
- C
Both the statements
- D
Statement-2 only
Consider the solution to first question of this set.
If Harita scored goals in one more match as compared to Sarita, then Sarita scored 2 goals while Amla scored 1 goal.
Statement-1: Amla scored goals in consecutive matches – false
Statement-2: Sarita scored goals in consecutive matches. – not necessarily true
∴ None of the statements is necessarily true.
Hence, option (bs).