JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 1 February 2024, Shift 2, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

If three successive terms of a G.P. with common ratio

r

(

r>1

) are the lengths of the sides of a triangle and

[r]

denotes the greatest integer less than or equal to

r

, then

3[r]+[-r]

is equal to ________.

Official answer

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Conditions for Three Terms in AP or GP

Same idea in other shifts

Asked 6× in all

7 Apr 2025, Shift 1 · Q6Let $x_1, x_2, x_3, x_4$ be in a geometric progression. If $2, 7, 9, 5$ are subtracted respectively from $x_1, x_2, x_3, x_4$ , then the…MediumSingle correct
1 Feb 2024, Shift 1 · Q6Let 3, a, b, c be in A.P. and 3, a $-$ 1, b+1, c+9 be in G.P. Then, the arithmetic mean of a, b and c is :MediumSingle correct
4 Aug 2021, Shift 2 · Q86If 32, $5x$ and $y$ are in A.P., and 2, $x$ and $y$ are in G.P., then the positive common difference of the A.P. is ________.MediumNumerical value
5 Sep 2020, Shift 1 · Q56If $3^{2\sin 2\alpha-1}$ , 14 and $3^{4-2\sin 2\alpha}$ are the first three terms of an A.P. for some $\alpha$ , then the sixth term of this…MediumSingle correct
2 Apr 2017 (offline) · Q68For any three positive real numbers a, b and c, $9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c)$ . Then :HardSingle 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.