# 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

I cannot solve this problem. Please help.

Your question is –

**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?**

**Your Correct answer: e**

**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.

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