Q66.If (27)999 is divided by 7, then the remainder is (1) 3 (2) 1 (3) 6 (4) 2
What This Question Tests
This question tests basic modular arithmetic to find the remainder of a large power when divided by a number, specifically using the property a ≡ -1 (mod n).
Concepts Tested
Formulas Used
a^n mod m = (a mod m)^n mod m
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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?
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Remainder theorem
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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