Q85.The remainder on dividing 599 by 11 is _____ .
What This Question Tests
The question requires finding the remainder of a large number raised to a power when divided by a smaller number, which is a direct application of modular arithmetic and Fermat's Little Theorem or Euler's totient theorem.
Concepts Tested
Formulas Used
a^b mod n = (a mod n)^b mod n
📚 NCERT Sections This Tests
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.
6.11 — Dynamics Of Rotational
Physics Class 11 · Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
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.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Modular arithmetic
- Year
- 2023
- Shift
- 31 Jan Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets (Basic concept of remainders can be related to number theory fundamentals not explicitly a chapter in NCERT)
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