Q64.Let the number ( 22 2022 + ( 2022 22 leave the remainder α when divided by 3 and β when divided by 7 ) ) . Then (α2 + β2 ) is equal to (1) 20 (2) 13 (3) 5 (4) 10
What This Question Tests
This problem requires using binomial expansion and modular arithmetic properties to find remainders when large powers are divided by specific numbers.
Concepts Tested
Formulas Used
(a+b)^n
a ≡ b (mod m)
📚 NCERT Sections This Tests
13.2 — Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Remainders using binomial expansion
- Year
- 2023
- Shift
- 10 Apr Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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