Verified Solution • 2025–26 Session moderate

QJEEM23Ma2d5a: JEE Main 2023 Mathematics - Class 11 JEEM23Ma2d5a Solution: Fractional part of the number 4 2022 15 is equal to

Fractional part of the number $\frac{4^{2022}}{15}$ is equal to

Multiple Choice Options

A 815
B 415
C 115
D 1415

Step-by-Step Verified Solution

\begin{aligned} {\frac{4^{2022}}{15}} = {\frac{2^{4044}}{15}} \\ = {\frac{(1 + 15)^{1011}}{15}} \\ = \frac{1}{15} \end{aligned}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring