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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 26 February 2021, Shift 2, Maths Q73

Question 73 of 90 in this shift, Maths question 13 of 30, Section A.

A seven digit number is formed using digits 3,3,4,4,4,5,53, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 22, is :
  1. (1)37\frac{3}{7}Official answer
  2. (2)67\frac{6}{7}
  3. (3)17\frac{1}{7}
  4. (4)47\frac{4}{7}

Official answer

Option 1

NTA final key.

Same idea in other shifts

Asked 11× in all
  1. 13 Apr 2023, Shift 1 · Q5The number of symmetric matrices of order 3, with all the entries from the set {0,1,2,3,4,5,6,7,8,9}\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}, isEasySingle correct
  2. 15 Apr 2023, Shift 1 · Q6The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is…MediumSingle correct
  3. 26 Jul 2022, Shift 1 · Q22The number of 5-digit natural numbers, such that the product of their digits is 36, is __________.MediumNumerical value
  4. 29 Jul 2022, Shift 2 · Q24The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2, 3, 4, 5, 6 (repetition of digits is not…MediumNumerical value
  5. 24 Jun 2022, Shift 1 · Q22In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each…MediumNumerical value
  6. 3 Aug 2021, Shift 1 · Q83If the number of permutations of the word “STATISTICS” in which all ‘S’ do not come together, is (56)2k(56)^2 k, then ‘kk’ is equal to…MediumNumerical value
  7. 3 Aug 2021, Shift 2 · Q82If six letter words (with or without meaning) are formed using A, B, C, D, E and F, then the number of words, in which exactly one of…MediumNumerical value
  8. 4 Aug 2021, Shift 1 · Q83Each of the numbers 1, 0, -1 is written on two different opposite faces of a six foces fair die. This die is thrown three times. The…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.