The remainder when 89 is divided by 8 is 1. Find the value of quotient.

Conor Hogan

Conor Hogan

Answered question

2023-01-23

The remainder when 89 is divided by 8 is 1. Find the value of quotient.
A) 9
B) 11
C) 10
D) 12

Answer & Explanation

Elizabeth Oneill

Elizabeth Oneill

Beginner2023-01-24Added 6 answers

The correct answer is B) 11
Given: Divisor = 8,
Dividend = 89
remainder = 1
Let the quotient be 'x'
As we know,
⇒Dividend = divisor × quotient + remainder
⇒89=8×x+1
Given : Algebraic equation 8x+1=89
Put each option in the equation 8x+1=89 , The solution to the equation will be the value of x.
Option A : put x=9
⇒8×9+1=73≠89
Thus, the value of x does not satisfies the equation.
Option B : put x=11
⇒11×8+1=89=89
Thus, the value of x satisfies the equation.
Option C : put x=10
⇒8×10+1=81≠89
Thus, the equation is not satisfied by the value of x.
Option D : put x=12
⇒8×12+1=97≠89
Thus, the value of x does not satisfies the equation.
Thus, the quotient is 11.

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