JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 27 June 2022, Shift 1, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

Five numbers

x_1, x_2, x_3, x_4, x_5

are randomly selected from the numbers

1, 2, 3, \ldots\ldots, 18

and are arranged in the increasing order

(x_1 < x_2 < x_3 < x_4 < x_5)

. The probability that

x_2=7

and

x_4=11

is :

(1) $\frac{1}{136}$
(2) $\frac{1}{72}$
(3) $\frac{1}{68}$ Official answer
(4) $\frac{1}{34}$

Official answer

Option 3

NTA final key.

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

Same idea in other shifts

Asked 16× in all

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
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
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
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
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
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
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
29 Jul 2022, Shift 1 · Q26The number of matrices of order $3 \times 3$ , 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; 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.