JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 15 April 2023, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the sum of the first two digits is equal to the sum of the last two digits. Then the maximum number of trials necessary to obtain the correct code is ______.

Official answer

NTA final key.

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

Same idea in other shifts

Asked 10× in all

6 Apr 2023, Shift 2 · Q22The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters…MediumNumerical value
25 Jun 2022, Shift 2 · Q27The total number of three-digit numbers, with one digit repeated exactly two times, is ____________.MediumNumerical value
29 Jun 2022, Shift 1 · Q30Let $b_1b_2b_3b_4$ be a 4-element permutation with $b_i \in \{1, 2, 3, \ldots\ldots, 100\}$ for $1 \le i \le 4$ and $b_i \ne b_j$ for…MediumNumerical value
30 Jun 2022, Shift 1 · Q21The number of 6-digit numbers made by using the digits 1, 2, 3, 4, 5, 6, 7, without repetition and which are multiple of 15 is __________.MediumNumerical value
26 Aug 2021, Shift 1 · Q81The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is __________.EasyNumerical value
25 Feb 2021, Shift 1 · Q84The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of digits is…MediumNumerical value
25 Jul 2021, Shift 2 · Q63If ${}^nP_r={}^nP_{r+1}$ and ${}^nC_r={}^nC_{r-1}$ , then the value of r is equal to :EasySingle correct
9 Jan 2020, Shift 1 · Q56If the number of five digit numbers with distinct digits and 2 at the $10^{\mathrm{th}}$ place is 336 k, then k is equal to :MediumSingle correct

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.