Remainders

[swerve]

When \(Q\) is divided by \(W\), the quotient is \(R\) and the remainder is \(E\). Which of the following expressions is equal to \(E\)?

A. \(RW + Q\)
B. \(RW - Q\)
C. \(Q - RW\)
D. \(QW - R\)
E. \(\dfrac{Q}{RW}\)

The OA is C

Source: Magoosh

[Brent@GMATPrepNow]

When \(Q\) is divided by \(W\), the quotient is \(R\) and the remainder is \(E\). Which of the following expressions is equal to \(E\)?

A. \(RW + Q\)
B. \(RW - Q\)
C. \(Q - RW\)
D. \(QW - R\)
E. \(\dfrac{Q}{RW}\)

The OA is C

Source: Magoosh

-----ASIDE-----------------------
There's a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R"
For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2
Likewise, since 53 divided by 10 equals 5 with remainder 3, then we can write 53 = (10)(5) + 3
-------------------------------------

GIVEN: When Q is divided by W, the quotient is R and the remainder is E.
So, we can write: Q = WR + E

Which of the following expressions is equal to E?
Take: Q = WR + E
Subtract WR from both sides to get: Q - WR = E

Answer: C

Cheers,
Brent

[Scott@TargetTestPrep]

When \(Q\) is divided by \(W\), the quotient is \(R\) and the remainder is \(E\). Which of the following expressions is equal to \(E\)?

A. \(RW + Q\)
B. \(RW - Q\)
C. \(Q - RW\)
D. \(QW - R\)
E. \(\dfrac{Q}{RW}\)

The OA is C

Source: Magoosh

We are given that:

Q/W = R + E/W

Multiply the equation by W, we have:

Q = RW + E

Q - RW = E

Answer: C