What least number must be subtracted from 129 | vedclass

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

Question

(B) To find the number that leaves a remainder of $6$ when divided by $9, 11,$ and $13$,we first calculate the Least Common Multiple $(LCM)$ of $9, 11

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) To find the number that leaves a remainder of $6$ when divided by $9, 11,$ and $13$,we first calculate the Least Common Multiple $(LCM)$ of $9, 11,$ and $13$.Since $9, 11,$ and $13$ are coprime,their $LCM = 9 	imes 11 	imes 13 = 1287$.$A$ number that leaves a remainder of $6$ when divided by $9, 11,$ and $13$ is of the form $(LCM + 6) = 1287 + 6 = 1293$.We need to subtract a number from $1294$ to get $1293$.Required number $= 1294 - 1293 = 1$.

What least number must be subtracted from $1294$ so that the remainder when divided by $9, 11, 13$ will leave in each case the same remainder $6$?

Similar Questions

What is the least value of $K$ so that the number $6735K1$ is divisible by $9$?

The sum of two numbers is $100$ and their difference is $37$. The difference of their squares is

$18 \times 16 - 3445 \div 13 = ? - 344$

How many numbers between $100$ and $300$ are divisible by $11$?

Arranging the following in descending order,we get $\sqrt[3]{4}, \sqrt{2}, \sqrt[6]{3}, \sqrt[4]{5}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module