When a positive integer m is divided by another positive integer

Question

When a positive integer  m  is divided by another positive integer  n , the remainder obtained is 8. If  \frac{m}{n}=89.32,  what is the value of n?

A. 1
B. 25
C. 32
D. 100
E. 2225

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AdarshSambare · Answer

We are told:

* When m is divided by n, the remainder is 8.
 So m = kn + 8, where k is an integer.

* Also given:
 m/n = 89.32

So,
m/n = k + 8/n = 89.32

That means:
k = 89 and 8/n = 0.32

n = 8/0.32 
=> 800/32 
=> 25

Answer: B

Dereno · Answer

m when divided by n , leaves a remainder 8.

m = qn + 8

We also know that, m/n = 89.32. Thus,  m = 89.32 * n

When n = 1, the outcome m = 89.32, when divided by 1 leaves a remainder zero.

When n = 100, the outcome m = 8932, when divided by 100 leaves a remainder 32.

When n = 25 , the outcome m = 89.32*25 = 2233, this when divided by 25 leaves a remainder 8.

Hence,  n = 25. Option B

Ayeka · Answer

m/n = q+8/n 
m= qn+8.......(1) 
Also, m/n=89.32 =q +8/n 
89+32/100 =q +8/n 
Comparing both sides
q=89 and 8/n =32/100 
n= 8*100/32=25

B

architectoid · Answer

We know m/n = Q+(8/n) = 89.32
So 8/n = 0.32 = 32/100

Meaning (8*y)/(n*y) = 32/100

8*y = 32 => y=4

So 4n = 100 => n=25

Therefore answer is B.

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