Question

How many goals were scored in Match 7?

• A. 3
• B. Cannot be determined
• C. 2
• D. 1
• A. 3, 1, 2, 1
• B. 4, 1, 2, 1
• C. 5, 1, 0, 1
• D. 3, 2, 1, 2
• A. Statement-1 only
• B. Both the statements
• C. None of the statements
• D. Statement-2 only
• A. None of the statements
• B. Statement-1 only
• C. Statement-2 only
• D. Both the statements
• A. None of the statements
• B. Statement-1 only
• C. Both the statements
• D. Statement-2 only

Answer 1

The Correct Option is D

1. The total number of goals scored by Amla, Bimla, Harita, and Sarita is 12.
2. Since only one goal was scored in every even-numbered match, the total number of goals scored in even-numbered matches is \(4 \times 1 = 4\).
3. The remaining goals must be scored in odd-numbered matches. So, the total number of goals scored in odd-numbered matches is \(12 - 4 = 8\).
4. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8. This implies that the highest goal scorer scored goals in two other matches (odd-numbered) apart from matches 4 and 8.
5. Bimla scored a goal in Match 1 and one each in three other consecutive matches. This means that Bimla scored goals in Matches 1, 2, 3, and 4.
6. 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. Since Bimla scored in Match 1 and Match 3, and Match 1 is not equal to Match 3, it follows that Match 5 is equal to Match 7. Therefore, Match 5 and Match 7 both have the same number of goals.
7. The match in which the highest number of goals was scored was unique and it was not Match 5. Since Match 5 is not the match with the highest number of goals, it means that either Match 8 or one of the odd-numbered matches is the one with the highest goals. 
   Based on the above information, we can deduce the following: 
   -Amla, Bimla, Harita, and Sarita scored goals in Matches 2, 4, 6, and 8. 
   - Bimla scored in Matches 1, 2, 3, and 4. - Match 5 has the same number of goals as Match 7. 
   - The highest goal scorer scored in Matches 4, 8, and one of the odd-numbered matches.

Since Bimla scored goals in Matches 2, 3, and 4, and the highest goal scorer scored in Matches 4 and 8, the only possibility left for the highest goal scorer's other match is Match 6. Therefore, the distribution of goals can be deduced as follows:
- Amla: Match 2 
- Bimla: Match 1, 3, 4 
- Harita: Match 8 
- Sarita: Match 6 Now we can determine the number of goals scored in Match 7, which is equal to the number of goals scored in Match 5.

According to Fact 5, these two matches have the same number of goals. Therefore, the number of goals scored in Match 7 is 1. Hence, the answer is 1 goal scored in Match 7.

Answer 2

From the given information and our previous analysis:
Bimla scored goals in Matches 1, 2, 3, and 4.
Match 5 has the same number of goals as Match 7.
The highest goal scorer scored in Matches 4, 8, and one of the odd-numbered matches.
Using these details, let's consider the options one by one:
Sequence: 3, 1, 2, 1

Bimla scored in Matches 1, 2, 3, and 4 (matches 1, 3, and 4 are consecutive).
Match 5 and Match 7 must have the same number of goals, and they are not included in this sequence. This option does not align with the given information.
Sequence: 4, 1, 2, 1 (Correct)

Bimla scored in Matches 1, 2, 3, and 4.
Match 5 and Match 7 must have the same number of goals, which is not specified here, but it's consistent with the given information.
Sequence: 5, 1, 0, 1

Bimla scored in Matches 1, 2, 3, and 4.
Match 5 and Match 7 must have the same number of goals, and this sequence doesn't account for that.
Sequence: 3, 2, 1, 2

Bimla scored in Matches 1, 2, 3, and 4.
Match 5 and Match 7 must have the same number of goals, and this sequence doesn't account for that.

Based on the analysis, the correct sequence of goals scored in matches 1, 3, 5, and 7 is '4, 1, 2, 1'.

Answer 3

From the information given earlier:
Amla, Bimla, Harita, and Sarita scored goals in Matches 2, 4, 6, and 8.
Bimla scored goals in Matches 1, 2, 3, and 4.
Harita scored goals in Match 8.
Sarita scored goals in Match 6.
Based on this information, let's evaluate the given statements:

Statement-1: Amla and Sarita never scored goals in the same match.
Amla scored goals in Match 2.
Sarita scored goals in Match 6.
Amla and Sarita indeed scored goals in different matches (Matches 2 and 6, respectively).

Statement-2: Harita and Sarita never scored goals in the same match.
Harita scored goals in Match 8.
Sarita scored goals in Match 6.
Harita and Sarita indeed scored goals in different matches (Matches 8 and 6, respectively).

Both statements are true based on the given information, and they are consistent with the goal-scoring patterns of Amla, Bimla, Harita, and Sarita.
Therefore, the correct answer is "Both the statements."

Answer 4

Let's evaluate the given statements:
Statement-1: In every match at least one player scored a goal.
- Based on the information given, it is stated that each of the four players (Amla, Bimla, Harita, and Sarita) scored goals in the matches.
- This statement is true as all players scored goals in different matches.

Statement-2: No two players scored goals in the same number of matches.
- Based on the information, it is evident that no two players have scored goals in the same number of matches.
- This statement is true as no two players scored goals in the same number of matches.
Both statements are true based on the given information and the analysis.
Therefore, the correct answer is "None of the statements."

Answer 5

Let's analyze the given information and the implications of Harita scoring goals in one more match compared to Sarita:
From the information given earlier:
- Amla, Bimla, Harita, and Sarita scored goals in Matches 2, 4, 6, and 8.
- Bimla scored goals in Matches 1, 2, 3, and 4.
- Harita scored goals in Match 8.
- Sarita scored goals in Match 6.

Since Harita scored goals in one more match than Sarita, this implies:
- Harita scored in Match 6 and Match 8.
- Sarita scored in Match 6.

Now, let's evaluate the given statements:
Statement-1: Amla scored goals in consecutive matches.
- Amla scored goals in Match 2.
- This statement is not necessarily true, as Amla did not score in consecutive matches.

Statement-2: Sarita scored goals in consecutive matches.
- Sarita scored goals in Match 6.
- This statement is not true, as Sarita did not score in consecutive matches.

Neither of the statements is necessarily true based on the given information and the implication that Harita scored goals in one more match than Sarita.
Therefore, the correct answer is "None of the statements."