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Saturday, 31 October

JEE Main 2020 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 4 September 2020, Shift 2, Maths Q51

Question 51 of 75 in this shift, Maths question 1 of 25.

Let ⋃i=150Xi=⋃i=1nYi=T\bigcup_{i=1}^{50} X_i = \bigcup_{i=1}^{n} Y_i = T, where each XiX_i contains 10 elements and each YiY_i contains 5 elements. If each element of the set T is an element of exactly 20 of sets XiX_i's and exactly 6 of sets YiY_i's, then n is equal to :
  1. (1)1515
  2. (2)3030Official answer
  3. (3)4545
  4. (4)5050

Official answer

Option 2

NTA final key (Sep 2020).

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.