JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2026, Shift 2, Maths Q4

Question 4 of 75 in this shift, Maths question 4 of 25, Section A.

Let

a_1, a_2, a_3, \ldots

be an A.P. and

g_1, g_2, g_3, \ldots

be an increasing G.P. If

a_1 = a_2 + g_2 = 1

and

a_3 + g_3 = 4

, then

a_{10} + g_5

is equal to:

(1) $81$
(2) $76$
(3) $62$
(4) $55$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: AP General Term

Same idea in other shifts

Asked 4× in all

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25 Jul 2022, Shift 1 · Q24Let $a,\ b$ be two non-zero real numbers. If $p$ and $r$ are the roots of the equation $x^2-8ax+2a=0$ and $q$ and $s$ are the roots of the…HardNumerical value
6 Sep 2020, Shift 2 · Q56The common difference of the A.P. $b_1, b_2, \ldots, b_m$ is 2 more than the common difference of A.P. $a_1, a_2, \ldots, a_n$ . If…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 42 of the 174 JEE Main shifts held from 2017 to 2026.