# Practice Questions on Number SystemAptitude Questions and Answers

## Difficult Number System Question - 1

 Q1. The largest number amongst the following that will perfectly divide $101^{100} – 1$ is:
 A. $100$ B. $10,000$ C. $100^{100}$ D. $100,000$

Common Information

$P =1234567891011.............9989991000$

## Difficult Number System Question - 2

 Q2. Common Information Question: 1/2Find the remainder when first 1000 digits of the number $P$ are divided by 16?
 A. 7 B. 9 C. 11 D. 13

## Difficult Number System Question - 3

 Q3. Common Information Question: 2/2Find the remainder when $P$ is divided by 9?
 A. 8 B. 7 C. 1 D. 6

## Difficult Number System Question - 4

 Q4. Let $n$ be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of $n$?
 A. 144 B. 168 C. 192 D. None of these

## Difficult Number System Question - 5

 Q5. Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pieces of gold coins?
 A. 86 B. 70 C. 43 D. 35
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