### RE: Find the dividend if it is given that the dividend when divided by 6 gives the remainder as half of the divisor and the quotient is 2 more than the perfect square of the divisor.?

Find the dividend if it is given that the dividend when divided by 6 gives the remainder as half of the divisor and the quotient is 2 more than the perfect square of the divisor.?

a. 123
b. 321
c. 345
d. 123
e. 231

Find the dividend if it is given that the dividend when divided by 6 gives the remainder as half of the divisor and the quotient is 2 more than the perfect square of the divisor?

See the details Explanation of your question:

According to the question,
Divisor = 6….. (i)
Quotient = 2 + perfect square of the divisor
Thus, quotient = 2 + 36 = 38…..(ii)
Remainder = half of the divisor
Thus, remainder = 6/2 = 3…..(iii)
According to the standard mathematical formula for division:
Dividend = divisor * quotient + remainder
Substituting the values from equation (i), (ii) as well as (iii) in this formula, we get,
Dividend = 6 * 38 + 3
∴ Dividend = 228 + 3
∴ Dividend = 231

Hence, the correct answer is option e.