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

To determine the number of goals scored in Match 7, we analyze the given information step-by-step:

• Total goals scored: 12 (spread across 8 matches) 
• Each player scored at least 1 goal, no two players scored the same total number of goals.
• Even-numbered matches (2, 4, 6, 8): 1 goal per match.
• Match with the highest unique goals is neither Match 5 nor any even-numbered match.
• Equal goals in Match 3 and Match 7, different from number of goals in Match 1 or Match 5.

From the conditions:

• Bimla scores in Match 1 and three consecutive matches (Let's say Matches 1,2,3,4).
• Harita scores more than Bimla, meaning Harita scores in at least four matches.
• The highest goal-scorer scores in exactly three matches including Matches 4 and 8.

Let’s determine the goal scoring pattern:

• For Matches 2, 4, 6, 8: Each has 1 goal
• The remaining matches (1, 3, 5, 7) need to sum up to 8 goals.
• Since Match 3 and 7 are equal and different from Matches 1 and 5:
  • Suppose Match 1 has 1 goal (as Bimla must score here) and Match 5 has 4 goals (since it's unique and high).
  • This leaves 3 goals for Matches 3 and 7 together, implying each has 1 goal.

In conclusion, since we already set: Match 3 = Match 7, and each has 1 goal, the number of goals in Match 7 is: 1.

Answer 2

The goal is to find the sequence of goals scored in Matches 1, 3, 5, and 7. Given the conditions, we can deduce the following:
1. Total goals scored in the matches = 12
2. Conditions:

• Match 2, 4, 6, 8: Only 1 goal each (since one goal is scored in every even-numbered match).
• Total goals in even matches = 4.
• Total goals in odd matches = 12 - 4 = 8 goals.

3. Let's analyze the matches:

• Condition 3 states the highest goal scorer scored in Match 4 and Match 8, with 3 matches in total; thus they score 1 goal each in matches 4, 8, and one other match.
• According to Condition 4, Bimla scored in Match 1 and consecutively in three other matches. Since a player can’t score in two matches consistently (due to alternating match goals), Bimla scored in Matches 1, 3, 5, 7.
• Condition 5 concludes an equal number of goals are scored in Matches 3 & 7, different from the number scored in 1 & 5.

4. Analyzing possible sequences:

• Based on Condition 6 (highest number scored uniquely), assume most goals in Match 1.
• For Match 3 & 7 to be the same number, they should be lower than Match 1.
• Considering no two players have the same total number of goals, logical trial shows:
  • Bimla scores one goal in Matches 1, 3, 5, 7.
  • Harita cannot score the highest, given Goal (Condition 2).
  • Possible sequence: Goals for matches 1, 3, 5, 7 = 4, 1, 2, 1.

Answer 3

To determine the truth of the statements, we need to analyze the players' performances in the matches based on the given conditions. Let's first break down what we know from the comprehension:

• The goals were scored across 8 matches, totaling 12 goals, with each player scoring at least one goal, and all players had different total scores.
• Only one goal was scored in every even-numbered match. Hence, Matches 2, 4, 6, and 8 each have exactly 1 goal.
• Harita scored more goals than Bimla.
• The top scorer had goals in exactly 3 matches, including Match 4 and Match 8.
• Bimla scored in four matches: initially in Match 1 and then in three consecutive matches.
• Matches 3 and 7 had the same number of goals, differing from Matches 1 and 5.
• The match with the most goals scored was unique and not Match 5.

Now let's analyze the players:

1. From the provided conditions, consider Bimla's scoring pattern: if she scored in Match 1 and in three consecutive matches thereafter, this would require goals in Matches 1, 3, 5, and 7 (since even matches only have one goal each by someone else).
2. Since Matches 3 and 7 have an equal number of goals, it's logical Bimla could have scored 2 goals, one in each of these (for simplicity, assume equal contribution matching the parity described).
3. For Harita to have scored more than Bimla, and since Bimla's scored 4 goals in Matches 1, 3, 5, and 7, then Harita can be the player scoring the highest if her total exceeds Bimla's and includes the conditions of highest scorer (though we don't place her conclusively yet).
4. Using the rules for the highest scorer, they could have scored in Matches 4 and 8 plus another odd match (say Match 1 or 5) which means Harita potentially scored in Match 8.
5. This leaves us to decide between Amla and Sarita filling in other known gaps like Match 2, 4, 6. Assuming Harita as a higher scorer means Harita unlikely scored in Matches 2, and 6, since these would carry different spread patterns for her higher total in other matches, Amla and Sarita might fill in even slots.

Given Harita scored more and likely the highest; she didn't score in Matches 2 or 6 (which were maybe Amla's & Sarita's domain). Due to spreading and Sarita's condition of never aligning with Harita's goals:

• Since conditions don't disfavor Amla in shared matches, Sarita actually can only land scoring outside Harita’s lower and higher slots, while never sharing a match entirely, due to even-ness and spread preferences.
• 'Switching' across slots of independent scoring (or only rotating) shows it aligns that Bimla focuses on independent poetry, so she won't overlap. The solution defaults more open for revealed sharing: so Sarita can't score together with Harita, nor manage with 3.
• Therefore, both statements are true: "Amla and Sarita never scored goals in the same match" as well as "Harita and Sarita never scored goals together” fits non-overlapping style with restriction adjustment.

Hence, the correct option is: Both the statements.

Answer 4

The problem involves analyzing the given statements about the goal-scoring records of four players in a series of matches. Let's evaluate each statement based on the provided comprehension.

• Statement-1: In every match, at least one player scored a goal.
  From the comprehension, it's mentioned that "Only one goal was scored in every even numbered match," which implies that each of these matches had goals. Since the total number of goals in 8 matches is 12 and each player scored at least one goal, this matches the condition that at least one player scored in every match. Therefore, this statement is true.
• Statement-2: No two players scored goals in the same number of matches.
  According to the data, Harita scored more goals than Bimla, and the player with the highest goals scored in 3 matches. We know each player scores at least once, and total goals in all the matches is 12, distributed uniquely among 4 players. No two players having the same total number of goals aligns with this statement. Hence, this statement is also true.

Based on the above analysis, the correct answer is: None of the statements are false, as both are true according to the information provided.

Answer 5

Given Information Summary 

• Harita scored goals in Match 8 and (inferred) Match 6 → Total = 2 matches
• Sarita scored goals in Match 6 only → Total = 1 match
• Thus, Harita scored in one more match than Sarita.

Statement Analysis

Statement 1: Amla scored goals in consecutive matches

• We know Amla scored in Match 2.
• No information confirms scoring in Match 1 or 3.
• Therefore, Amla did not necessarily score in consecutive matches.

Statement 2: Sarita scored goals in consecutive matches

• We know Sarita scored in Match 6 only.
• No other match is listed for her.
• Therefore, Sarita did not score in consecutive matches.

Final Answer: None of the statements is necessarily true.