2024 CSAT, all questions

UPSC Prelims 2024 · CSAT

Question 65: Data Interpretation

A Question is given followed by two Statements I and II. Consider the Question and the Statements. A certain amount was distributed among X, Y and Z.

  1. QuestionWho received the least amount?
  2. Statement–IX received 4/5 of what Y and Z together received.
  3. Statement–IIY received 2/7 of what X and Z together received.

Which one of the following is correct in respect of the above Question and the Statements?

aThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
bThe Question can be answered by using either Statement alone
cThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
dThe Question cannot be answered even by using both the Statements together

AnswerUPSC’s answer is (c).

Let the total be T. Statement I: X = 4/5 of (Y + Z), so X = 4T/9; Y and Z share 5T/9 in an unknown way, so the least cannot be found. Statement II: Y = 2/7 of (X + Z), so Y = 2T/9, but X and Z share 7T/9 in an unknown way, so again no answer. Together: X = 4T/9, Y = 2T/9 and Z = 3T/9, so Y received the least.

Why each option is right or wrong
  • (a) Wrong. Neither alone fixes the smallest share.
  • (b) Wrong. Each statement alone leaves two possible candidates.
  • (c) Right. Together X = 4T/9, Y = 2T/9, Z = 3T/9, so Y is least.
  • (d) Wrong. Together they settle it.

Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.

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Source: UPSC, Civil Services (Preliminary) Examination 2024, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.