# Practice Questions on Number SystemAptitude Questions and Answers

## Difficult Number System Question - 16

 Q16. How many three digit numbers can be formed using the digits $1,2,3,4,5,6,7$ and $8$ without repeating the digits and such that the tens digit is greater than the hundreds digit and less than the units digit?
 A. 48 B. 56 C. 64 D. 72

## Difficult Number System Question - 17

 Q17. Find the sun of the digits of the least natural number $P$, such that the sum of the cubes of the four smallest distinct divisors of $P$ equals $2P$.
 A. 7 B. 8 C. 9 D. 10

## Difficult Number System Question - 18

 Q18. If $n = 1 + x$, where $x$ is a product of four consecutive positive integers, then which of the following is true? A. $n$ is odd B. $n$ is prime C. $n$ is a perfect square
 A. A and C only B. A and B only C. A only D. None of these

## Difficult Number System Question - 19

 Q19. The H.C.F of two numbers, each having three digits, is 17 and their L.C.M. is 714. The sum of the numbers will be:
 A. 119 B. 221 C. 237 D. 727
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