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JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 10 April 2023, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

Let the number

(22)^{2022} + (2022)^{22}

leave the remainder

\alpha

when divided by

3

and

\beta

when divided by

7

. Then

(\alpha^2 + \beta^2)

is equal to

(1) $5$ Official answer
(2) $10$
(3) $13$
(4) $20$

Official answer

Option 1

NTA final key.

Chapter: Binomial Theorem
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.