Question:medium

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?

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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

Run a coverage check before touching the options. Hindi appears only in the sentence about W and X. Social Studies appears only in the sentence about Y and Z. English appears in two sentences and covers everyone. Mathematics appears in two sentences and covers everyone. Science appears in two sentences and covers everyone. So the gaps in this puzzle are Hindi for Y and Z, and Social Studies for W and X. Any option touching a gap is instantly not definite.

  1. Y and Z are good in English as well as in Hindi: This walks straight into the Hindi gap. Y and Z might be good in Hindi, or they might be terrible at it, and the passage never says. Possible is not definite.
  2. All four friends are good in Science: Science has full coverage. One sentence supplies W and Y, another supplies Z and X, and no sentence calls anybody poor in Science. Every friend is accounted for as good, so the statement holds without any assumption.
  3. W is good in Social Studies, Hindi and Science: This walks into the Social Studies gap. Only Y and Z are described in Social Studies. W is never rated in it, so calling W good there is invented.
  4. Y is not good in Mathematics, Hindi and Social Studies: Two thirds of this is right, since Y is poor in Mathematics and poor in Social Studies. The Hindi claim is the third gap and it sinks the option. A statement is definite only if every part of it is forced.

The habit worth taking away is to test the weakest clause of a compound statement. A single unsupported clause makes the whole statement uncertain, however solid the rest of it looks.

Let's summarize:

  • Science is the only subject where the two sentences together name all four friends as good.
  • Hindi is unknown for Y and Z, which kills options (A) and (D).
  • Social Studies is unknown for W, which kills option (C).

Option (B) is the only statement forced by the passage.

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