38:T53d,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. $$\newline$$ 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. $$\newline$$

Only one goal was scored in every even numbered match.
Harita scored more goals than Bimla.
The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
Bimla scored a goal in Match 1 and one each in three other consecutive matches.
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.
The match in which the highest number of goals was scored was unique and it was not Match 5.

39:T4a5,—-- $\newline$ | | A | B | H | S |Total (2) | $\newline$ |----------|----- |-----|-----|-----|-----| $\newline$ | M1 | - | 1 | 3 | - | $4$ | $\newline$ | M2 | | - | - | | $ 1 $ | $\newline$ | M3 | | - | - | | $1$ | $\newline$ | M4 | - | - | 1 | - | $1$ | $\newline$ | M5 | | 1 | - | | $2$ | $\newline$ | M6 | - | 1 | - | - | $ 1 $ | $\newline$ | M7 | - | 1 | - | - | $1$ | $\newline$ | M8 | - | - | 1 | - | $ 1 $ | $\newline$ | Total (1)| $1/2$ | $4$ | $5$ | $2/1$ | $12$ | $$\newline$$ Statement 1 : In first match, 4 goals are scored i.e 3 by Harita and 1 by Bimla.If Amla scores in 2nd match then Sarita scores in 3rd match. In the 4th match Harita is scoring the goal.In 5th 6th & 7th match, Bimla scored a goal each. In 8th match Harita scores a goal.So, in every match atleast one player scored a goal. $$\newline$$ Statement 2: Amla scores either 1 or 2. Bimla scores 4. Harita scores 3. Sarita scores 2. Hence,no two players scored goals in the same number of matches. $$\newline$$ Therefore, none of the statements is false.3a:T22c0,

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