Learn

Saturday, 31 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q6

Question 6 of 75 in this shift, Maths question 6 of 25, Section A.

Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of A be 36 and p respectively and the sum and the product of the elements of B be 36 and q respectively. Let d and D be the common differences of AP's in A and B respectively such that D=d+3D=d+3, d>0d>0. If p+qp−q=195\frac{p+q}{p-q}=\frac{19}{5}, then p−qp-q is equal to
  1. (1)540Official answer
  2. (2)600
  3. (3)630
  4. (4)450

Official answer

Option 1

NTA final key.

Chapter
Sequences and Series
Topic
AP and GP
Idea tested
Symmetric Selection of AP Terms

Same idea in other shifts

Asked 2× in all
  1. 4 Apr 2024, Shift 2 · Q6Let three real numbers a,b,ca, b, c be in arithmetic progression and a+1,b,c+3a+1, b, c+3 be in geometric progression. If a>10a>10 and the arithmetic…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.