# Practice Questions on Number SystemAptitude Questions and Answers

## Difficult Number System Question - 11

 Q11. The three words "TATA Assets Rock" are flashed such that the words individually are switched on at regular intervals of 4,7 and 9 seconds respectively and after they are switched on, the words are switched off after 2 sec, 4 sec and 5 sec respectively. If at time '$t$' all the words happened to switch off simultaneously, find the least time '$t$' which all three words will switch on simultaneously.
 A. 252 sec B. 126 sec C. 94 sec D. 38 sec

## Difficult Number System Question - 12

 Q12. Let $X$ be a four-digit number with exactly three consecutive digits being same and is a multiple of 9. How many such $X$’s are possible?
 A. 12 B. 16 C. 19 D. 20

## Difficult Number System Question - 13

 Q13. The remainder when $m + n$ is divided by 12 is 8, and the remainder when $m – n$ is divided by 12 is 6. If $m > n$, then what is the remainder when $mn$ divided by 6?
 A. 1 B. 2 C. 3 D. 4

## Difficult Number System Question - 14

 Q14. How many ordered pairs of integer $(x,y)$ are there such that their product is a positive integer less than 100.
 A. 546 B. 636 C. 1090 D. 946

## Difficult Number System Question - 15

 Q15. $a, b, c, d$ and $e$ are five consecutive integers in increasing order of size. Which one of the following expressions is not odd?
 A. $ab + c$ B. $ab + d$ C. $ac + d$ D. $ac + e$
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