GRE Exam Numerical Ability Number System

When x is divided by z, the result is y and remainder q, then which of the following must be true ?
A) z(y+q)=z B) xz - q = y C) x/z = y + q D) x/z - y = q/z E) x/z = yz + q

Read Solution (Total 1)

Answer is Option (D) x/z - y = q/z

Since, the quotient is y and remainder q when x/z,

Remainder Theorem Equation, Dividend = (Divisor*Quotient) + Remainder

x=zy + q
x/z = y + q/z ; Dividing the equation by z.
x/z - y = q/z Option (D)
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GRE Other Question

If x is divisible by 78 and x is non-zero, then which of the following must be divisible by x ?
A) x/78 B) x+78 C) 78/x D) 78-x E) 78x+78 New cars leave a car factory in a repeating pattern of red, blue, black, and gray cars. If the first car to exit the factory was red, what color is the 463rd car to exit the factory? A) Red B) blue C) black D) gray