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MCQs One or More Correct Option: Miscellaneous Sets, Relations, Statistics


MCQ Practice Test & Solutions: Test: MCQs (One or More Correct Option): Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) | JEE Advanced (2 Questions)

You can prepare effectively for JEE Crack JEE with 35 Years of Previous Year Solved Papers with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: MCQs (One or More Correct Option): Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) | JEE Advanced". These 2 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 5 minutes
  • - Number of Questions: 2

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*Multiple options can be correct
Test: MCQs (One or More Correct Option): Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) | JEE Advanced - Question 1

 In a college of 300 studen ts ever y student r eads 5 newspapers and every newspaper is read by 60 students.The number of newpapers is (1998 - 2 Marks)

Detailed Solution: Question 1

(c) Let n be the number of newspapers which are read.
Then 60 n = (300) x (5) ⇒ n = 25

*Multiple options can be correct
Test: MCQs (One or More Correct Option): Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) | JEE Advanced - Question 2

Let S1, S2, ...... be squares such that for each n ≥ 1, the length of a side of Sn equals the length of a diagonal of Sn+1. If the length of a side of S1 is 10 cm, then for which of the following values of n is the area of Sn less than 1 sq. cm? (1999 - 3 Marks)

Detailed Solution: Question 2

Given side of square S1 = 10 cm As it is same as diagonal of S2.

∴ Side of square S

Similarly, side of square S3

In the same manner, side of square Sn

∴ Area of square of side Sn

⇒ 100 < (2) n–1 ⇒ 2n–1 > 100 ⇒ n – 1 ∈ 7 ⇒  n ∈ 8

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