Question:
Instructions (130 to 132): Read the following information carefully and then answer the questions.
Four friends W, X, Y and Z are students of Class 10th. W and X are good in Hindi but poor in English. W and Y are good in Science but poor in Mathematics. Y and Z are good in English but poor in Social Studies. Z and X are good in Mathematics as well as in Science.
Which of the following statements is definitely true?
Instructions (130 to 132): Read the following information carefully and then answer the questions.
Four friends W, X, Y and Z are students of Class 10th. W and X are good in Hindi but poor in English. W and Y are good in Science but poor in Mathematics. Y and Z are good in English but poor in Social Studies. Z and X are good in Mathematics as well as in Science.
Which of the following statements is definitely true?
Four friends W, X, Y and Z are students of Class 10th. W and X are good in Hindi but poor in English. W and Y are good in Science but poor in Mathematics. Y and Z are good in English but poor in Social Studies. Z and X are good in Mathematics as well as in Science.
Which of the following statements is definitely true?
Show Hint
Find the subject that both of its sentences together cover all four friends. Then check every other option for a subject the passage never mentions for that person.
Updated On: Jul 17, 2026
- Y and Z are good in English as well as in Hindi
- All four friends are good in Science
- W is good in Social Studies, Hindi and Science
- Y is not good in Mathematics, Hindi and Social Studies
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Question.
The word "definitely" is the key. We need a statement that the passage forces to be true, not one that merely could be true. Anything resting on an unstated fact must be rejected.
Step 2: Key Formula or Approach.
First note what the passage never mentions. Hindi is mentioned once and only for W and X. Social Studies is mentioned once and only for Y and Z. So Hindi for Y and Z, and Social Studies for W and X, are blanks. Any option that needs one of those blanks filled cannot be definite.
Step 3: Detailed Explanation.
Option (B) claims all four are good in Science. The second sentence gives W and Y as good in Science. The fourth sentence gives Z and X as good in Science. Together they cover W, X, Y and Z, with no gaps and no contradiction. This is forced by the data, so it is definitely true.
Step 4: Checking the Wrong Options.
Option (A) claims Y and Z are good in English as well as Hindi. Their English is confirmed by the third sentence, but their Hindi is never mentioned anywhere. The Hindi part is a blank, so the statement is not definite.
Option (C) claims W is good in Social Studies, Hindi and Science. W's Hindi and Science are confirmed, but W's Social Studies is never mentioned. Only Y and Z are described as poor in Social Studies, and that says nothing about W. So this fails too.
Option (D) claims Y is not good in Mathematics, Hindi and Social Studies. Y is indeed poor in Mathematics and poor in Social Studies, but Y's Hindi is not mentioned at all. Saying Y is not good in Hindi asserts something the passage never supplies.
Notice that three of the four options fail for the same reason, an unmentioned subject, and only option (B) uses two sentences that between them account for every friend.
Step 5: Final Answer.
All four friends are good in Science, so the answer is (B).
The word "definitely" is the key. We need a statement that the passage forces to be true, not one that merely could be true. Anything resting on an unstated fact must be rejected.
Step 2: Key Formula or Approach.
First note what the passage never mentions. Hindi is mentioned once and only for W and X. Social Studies is mentioned once and only for Y and Z. So Hindi for Y and Z, and Social Studies for W and X, are blanks. Any option that needs one of those blanks filled cannot be definite.
Step 3: Detailed Explanation.
Option (B) claims all four are good in Science. The second sentence gives W and Y as good in Science. The fourth sentence gives Z and X as good in Science. Together they cover W, X, Y and Z, with no gaps and no contradiction. This is forced by the data, so it is definitely true.
Step 4: Checking the Wrong Options.
Option (A) claims Y and Z are good in English as well as Hindi. Their English is confirmed by the third sentence, but their Hindi is never mentioned anywhere. The Hindi part is a blank, so the statement is not definite.
Option (C) claims W is good in Social Studies, Hindi and Science. W's Hindi and Science are confirmed, but W's Social Studies is never mentioned. Only Y and Z are described as poor in Social Studies, and that says nothing about W. So this fails too.
Option (D) claims Y is not good in Mathematics, Hindi and Social Studies. Y is indeed poor in Mathematics and poor in Social Studies, but Y's Hindi is not mentioned at all. Saying Y is not good in Hindi asserts something the passage never supplies.
Notice that three of the four options fail for the same reason, an unmentioned subject, and only option (B) uses two sentences that between them account for every friend.
Step 5: Final Answer.
All four friends are good in Science, so the answer is (B).
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