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MathsMediumNumerical2021 ยท 25 Feb Shift 2

Q82.If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is ___ .

What This Question Tests

This question assesses the ability to apply modular arithmetic properties and the concept of remainders to simplify and evaluate expressions.

Concepts Tested

Modular arithmeticProperties of congruencesBinomial expansion for remainders

Formulas Used

x = 4k + 3

(A+B)^n mod m

๐Ÿ“š NCERT Sections This Tests

8.2 โ€” Name The Following Compounds According To Iupac System Of Nomenclature:

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8.2 Name the following compounds according to IUPAC system of nomenclature: (i) CH3CH(CH3)CH2CH2CHO (ii) CH3CH2COCH(C2H5)CH2CH2Cl (iii) CH3CH=CHCHO (iv) CH3COCH2COCH3 (v) CH3CH(CH3)CH2C(CH3)2COCH3 (vi) (CH3)3CCH2COOH (vii) OHCC6H4CHO-p

1.3 โ€” Define The Following Terms:

Chemistry Class 11 ยท Chapter 1

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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

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Chemistry Class 12 ยท Chapter 8

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8.17 Complete each synthesis by giving missing starting material, reagent or products

๐Ÿ“‹ Question Details

Chapter
Mathematical Reasoning
Topic
Remainder Theorem
Year
2021
Shift
25 Feb Shift 2
Q Number
Q82
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 1: Sets Relations Functions

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