Problem Solving

BTGmoderatorLU wrote: ↑

Fri Sep 11, 2020 5:30 am

Source: Magoosh

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. WR+Q
B. RW-Q
C. Q-RW
D. QW-R
E. Q/(RW)

The OA is C

-----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
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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

BTGmoderatorLU wrote: ↑

Fri Sep 11, 2020 5:30 am

Source: Magoosh

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. WR+Q
B. RW-Q
C. Q-RW
D. QW-R
E. Q/(RW)

The OA is C

Solution:

We are given that:

Q/W = R + E/W

Multiplying the equation by W, we have:

Q = RW + E

Q - RW = E

Answer: C