MCQ
સંખ્યા ${101^{100}} - 1$ એ . . . . મહતમ પુર્ણાક સંખ્યા વડે વિભાજ્ય છે .
- A$100$
- B$1000$
- ✓$10000$
- D$100000$
${(101)^{100}} - 1 = 100.100\left[ {1 + \frac{{100.99}}{{1.2}} + \frac{{100.99.98}}{{1.2.3}}.100 + ....} \right]$
From above it is clear that,
${(101)^{100}} - 1$ is divisible by $(100)^2$ $= 10000$
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