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Saturday, 31 October

JEE Main 2017 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 2 April 2017 (offline), Maths Q66

Question 66 of 90 in this shift, Maths question 6 of 30.

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is :
  1. (1)468
  2. (2)469
  3. (3)484
  4. (4)485Official answer

Official answer

Option 4

CBSE answer key (25/04/2017, used for result).

Chapter
Permutations and Combinations
Topic
Permutations and Combinations
Idea tested
Combinations of Distinct Objects

Same idea in other shifts

Asked 16× in all
  1. 5 Apr 2026, Shift 1 · Q22Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends…MediumNumerical value
  2. 5 Apr 2026, Shift 2 · Q9A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :MediumSingle correct
  3. 6 Apr 2026, Shift 1 · Q7The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the…MediumSingle correct
  4. 7 Apr 2025, Shift 1 · Q8From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4…MediumSingle correct
  5. 4 Apr 2024, Shift 2 · Q24There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of…MediumNumerical value
  6. 10 Apr 2023, Shift 1 · Q24Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match,…MediumNumerical value
  7. 28 Jul 2022, Shift 2 · Q82A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b + 3 g is equal to…EasyNumerical value
  8. 29 Jul 2022, Shift 1 · Q26The number of matrices of order 3×33 \times 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is…MediumNumerical value

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); 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.