Question

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

• A. 9
• B. 11
• C. 10
• D. 12

Answer 1

The correct option is B 11

Given : Divisor = 8,
Dividend = 89
remainder = 1
Let the quotient be 'x'
As we know,
$\Rightarrow$Dividend = divisor $\times$ quotient + remainder
$\Rightarrow 89=8\times x+1$

Given : Algebraic equation $8x+1=89$
Put each option in the equation $8x+1=89$ , Which ever satisfy the equation will be the value of x.

Option A : put $x=9$
$\Rightarrow 8\times 9+1=73\ne 89$
Hence, the value of x does not satisfies the equation.

Option B : put $x=11$
$\Rightarrow 11\times 8+1=89=89$
Hence, the value of x satisfies the equation.

Option C : put $x=10$
$\Rightarrow 8\times 10+1=81\ne 89$
Hence,the value of x does not satisfies the equation.

Option D : put $x=12$
$\Rightarrow 8\times 12+1=97\ne 89$
Hence, the value of x does not satisfies the equation.

Hence, the quotient is 11.