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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

Let the first term aa and the common ratio rr of a geometric progression be positive integers. If the sum of squares of its first three terms is 33033, then the sum of these three terms is equal to
  1. (1)231231Official answer
  2. (2)220220
  3. (3)210210
  4. (4)241241

Official answer

Option 1

NTA final key.

Chapter
Sequences and Series
Topic
AP and GP
Idea tested
GP Sum of Squares

Same idea in other shifts

Asked 2× in all
  1. 28 Jul 2022, Shift 1 · Q28Let x1,x2,x3,…,x20x_1,x_2,x_3,\ldots,x_{20} be in geometric progression with x1=3x_1=3 and the common ratio 12\frac{1}{2}. A new data is constructed…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.