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Saturday, 31 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2026, Shift 1, Maths Q5

Question 5 of 75 in this shift, Maths question 5 of 25, Section A.

Let AA be the set of first 101101 terms of an A.P., whose first term is 11 and the common difference is 55 and let BB be the set of first 7171 terms of an A.P., whose first term is 99 and the common difference is 77. Then the number of elements in A∩BA \cap B, which are divisible by 33, is :
  1. (1)44
  2. (2)55Official answer
  3. (3)66
  4. (4)77

Official answer

Option 2

NTA final key.

Chapter
Sequences and Series
Topic
AP and GP
Idea tested
Counting Common Terms of Finite APs

Same idea in other shifts

Asked 3× in all
  1. 27 Jan 2024, Shift 1 · Q7The number of common terms in the progressions 4,9,14,19,……4, 9, 14, 19, \ldots\ldots, up to 25th25^{th} term and 3,6,9,12,……3, 6, 9, 12, \ldots\ldots, up to…MediumSingle correct
  2. 9 Jan 2020, Shift 2 · Q72The number of terms common to the two A.P.'s 3,7,11,…,4073,7,11,\ldots,407 and 2,9,16,…,7092,9,16,\ldots,709 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.