Question

What is the time 15 hours before 11 p.M. Bring answer for modular arithmetic?

Answer 1

2 hours .
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Answer 2

The time 15 hours before 11'o clock p.m is 8 p.m.

Step-by-step explanation:

To find : What is the time 15 hours before 11 p.m. for modular arithmetic?

Solution :

Using modular arithmetic,

$15\equiv 11-x( \mod 12)$

$15-11+x=12n$ for some integer n

$4+x=12n$

i.e. 4+x is a multiple of 12,

So, the least positive value of x must be 8.

Since 4+8=12 is a multiple of 12.

Hence, the time 15 hours before 11'o clock p.m is 8 p.m.

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What is the time 15 hours before 11 p.m.?

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