If in a long division sum,the dividend is 380 | vedclass

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

Question

(B) Let $d$ be the divisor and $q$ be the quotient.In a long division process,the dividend $D$ can be expressed as $D = d 	imes q + r_{last}$.Given $

Vedclass · Accepted Answer

$843$

Vedclass · Answer

(B) Let $d$ be the divisor and $q$ be the quotient.In a long division process,the dividend $D$ can be expressed as $D = d 	imes q + r_{last}$.Given $D = 380606$ and $r_{last} = 413$,we have $d 	imes q = 380606 - 413 = 380193$.Since $380193$ is odd,the divisor $d$ must be odd. This eliminates $d = 3372$.Also,$380193$ does not end in $0$ or $5$,so $d$ cannot be a multiple of $5$. This eliminates $c = 4215$.We are left with $451$ and $843$. We check the first step of the division:If $d = 843$,then the first part of the dividend $3806$ divided by $843$ gives $3806 = 843 	imes 4 + 434$. This matches the first remainder $434$.If $d = 451$,then $3806 = 451 	imes 8 + 198$. This does not match the first remainder $434$.Thus,the divisor is $843$.

If in a long division sum,the dividend is $380606$ and the successive remainders from the first to the last are $434, 125,$ and $413,$ then the divisor is:

Similar Questions

The sum of three consecutive odd numbers is $20$ more than the first of these numbers. What is the middle number?

$(13.99)^{2} - (15.02)^{2} + (18.07)^{2} - 36.64 = ?$

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.

Find a number nearest to $9231$ which is exactly divisible by $3$ as well as by $11.$

$9067 + 2065 - 8400 + 3045 - 1520 = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module