Practice Questions on Number System
Aptitude 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

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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

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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

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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

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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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