When x is divided by y, the quotient is z with remainder r. Which of t

Question

When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)

A. x – r – z 
B. (x+r)/z
C. x/z−r
D. (x−r)/z
E. xr – z

Abhishek009 · Answer

Untitled.png x = yz + r x - r = yz (x - r )/z = y So, Answer will be option (D) :-D

CV7585 · Answer

When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)

A. x – r – z 
B. (x+r)/z
C. x/z−r
D. (x−r)/z
E. xr – z

Given that when x is divided y, the quotient is z and remainder is r. This implies x-r is divisible by y and yz=(x-r) or y = (x-r)/z.

Answer D.

ronny123 · Answer

The representation of the given problem is as follows :

x = yz + r

x - r = yz
y= (x - r) / z

Correct Option : D

stonecold · Answer

USe the theory here => Q*Di+R = Dividend
Smash that D

Icecream87 · Answer

x = yz + r
y = (x - r)/z answer D

TimeTraveller · Answer

x = zy+r 
 zy = x - r 
 y = \frac{x - r}{z}

Ans - D.

BrushMyQuant · Answer

When x is divided by y, the quotient is z with remainder r

Theory: Dividend = Divisor*Quotient + Remainder

x -> Dividend
y -> Divisor
z -> Quotient
r -> Remainder

=> x = y*z + r = yz + r
=> yz = x - r
=> y =  \frac{x - r }{z}

So,  Answer will be D 
Hope it helps!

Watch the following video to learn the Basics of Remainders

https://www.youtube.com/watch?v=P0S6j2uTaj4

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