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Bunuel
When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

A. a/b - c

B. a/b + c

C. a - bc

D. ab - c

E. a(b - c)

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 a is divided by b, the quotient is c and the remainder is d.
We can write: a =cb + d
Subtract cb from both sides of the equation to get: a - cb = d

Answer: C

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Answer: Option C

\(a = (b * c) + d\)
=> \(d = a - bc\)
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Bunuel
When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

A. a/b - c

B. a/b + c

C. a - bc

D. ab - c

E. a(b - c)


Solution:

Since we are dividing by b, the remainder d can be expressed fractionally as d/b. Thus, we have:

a/b = c + d/b

a = bc + d

a - bc = d

Answer: C

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Given that When a is divided by b, the quotient is c and the remainder is d and we need to find the value of d

Theory: Dividend = Divisor*Quotient + Remainder

When a is divided by b, the quotient is c and the remainder is d

a -> Dividend
b -> Divisor
c -> Quotient
d -> Remainders

=> a = b*c + d = bc + d
=> d = a - bc

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Remainders

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