In a division sum,the divisor is 4 times the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given that the divisor is $a$ and the dividend is $b$.According to the problem,the divisor is $4$ times the quotient,so the quotient $= \frac{a}{4

Vedclass · Accepted Answer

$\frac{a(a+2)}{b}=4$

Vedclass · Answer

(D) Given that the divisor is $a$ and the dividend is $b$.According to the problem,the divisor is $4$ times the quotient,so the quotient $= \frac{a}{4}$.The divisor is also twice the remainder,so the remainder $= \frac{a}{2}$.Using the division algorithm: $	ext{Dividend} = (	ext{Divisor} 	imes 	ext{Quotient}) + 	ext{Remainder}$.Substituting the values: $b = (a 	imes \frac{a}{4}) + \frac{a}{2}$.$b = \frac{a^2}{4} + \frac{a}{2} = \frac{a^2 + 2a}{4}$.$4b = a^2 + 2a = a(a + 2)$.Therefore,$\frac{a(a+2)}{b} = 4$.

In a division sum,the divisor is $4$ times the quotient and twice the remainder. If $a$ and $b$ are respectively the divisor and the dividend,then

Similar Questions

The ten's digit of a two-digit number is greater than the unit's digit by $7$. If we subtract $63$ from the number,the new number obtained is formed by interchanging the digits. Find the number.

What is the remainder when $2468$ is divided by $37$?

$72 \%$ of $390 + 28 \%$ of $165 = (x - 3)$

When $335$ is added to $5A7$, the result is $8B2$. $8B2$ is divisible by $3$. What is the largest possible value of $A$?

When a certain number is multiplied by $7$,the product consists entirely of fives; find the least value of such a number.

Vedclass Test Series

Exam Paper Generator

Online Exam Module