if M and N are divided by p, then the reminder obtained are 13 & 31 respectively where M, N, P are natural numbers. Further M + N is divided by the same divisor P the remainder is 4, then the divisor P is:
Answers
Distance and displacement are two quantities that seem to mean the same but are distinctly different with different meanings and definitions. Distance is the measure of “how much ground an object has covered during its motion” while displacement refers to the measure of “how far out of place is an object.” In this article, let us understand the difference between distance and displacement.
- According to question,
m%p=13
n%p=31
- Also,
(m+n)%p=4
- Which means
m=Q1*p+13
n=Q2*p+31
m+n=Q3*p+4
m-13,n-31,m+n-4 are perfectly divisible by p
- As m-13 and n-31 are individually divisible by divisor p
- Hence,their sum will also be divisible by p
- That means
m+n-13-31=m+n-44 is perfectly divisible by p
- We know m+n-4 is also perfectly divisible by p
So p=m+n-4-(m+n-44)
=m+n-4-m-n+44
=40
p=40