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Maths · Simple applications

Assertion If the postman delivers 1332 card to the students then number of stude

Assertion If the postman delivers 1332 card to the students then number of students are 36. Reason If there are n students then total number of cards are \( n(n-1) \)

  • A. Both (A) \& (R) are individually true \& (R) is correct explanation of (A),
  • B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
  • C. (A)is true but (R) is false
  • D. (A)is false but (R) is true.

Step-by-step solution

Assertion (A): If total cards = 1332 and cards per student = n(n-1), then n(n-1)=1332. Solving n^2 - n - 1332 = 0 gives n = 37 (positive root), not 36. So (A) is false. Reason (R): For n students, each sends a card to every other, so total cards = n(n-1). This is true. Thus, (A) false, (R) true, option D.
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