Let N be the least six-digit number which,whe | vedclass

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

Question

(C) First,find the $LCM$ of $4, 6, 10,$ and $15$.$4 = 2^2$$6 = 2 	imes 3$$10 = 2 	imes 5$$15 = 3 	imes 5$$LCM = 2^2 	imes 3 	imes 5 = 60$.The sma

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) First,find the $LCM$ of $4, 6, 10,$ and $15$.$4 = 2^2$$6 = 2 	imes 3$$10 = 2 	imes 5$$15 = 3 	imes 5$$LCM = 2^2 	imes 3 	imes 5 = 60$.The smallest six-digit number is $100000$.Divide $100000$ by $60$:$100000 = 60 	imes 1666 + 40$.To find the smallest six-digit number exactly divisible by $60$,we add $(60 - 40) = 20$ to $100000$.So,the number is $100000 + 20 = 100020$.Since the number must leave a remainder of $2$ in each case,we add $2$ to this result:$N = 100020 + 2 = 100022$.The sum of the digits of $N$ is $1 + 0 + 0 + 0 + 2 + 2 = 5$.

Let $N$ be the least six-digit number which,when divided by $4, 6, 10,$ and $15,$ leaves the same remainder of $2$ in each case. The sum of the digits in $N$ is:

Similar Questions

The greatest possible length which can be used to measure exactly the lengths $7 \ m$,$3 \ m \ 85 \ cm$,and $12 \ m \ 95 \ cm$ is .......... $cm$.

Find the least common multiple of $24, 36,$ and $40.$

Find the greatest number which will divide $2112$ and $2792$ leaving the remainder $4$ in each case.

The $LCM$ of two numbers is $495$ and their $HCF$ is $5.$ If the sum of the numbers is $100,$ then their difference is

The $L.C.M.$ of two numbers is $120$ and their $H.C.F.$ is $10.$ Which of the following can be the sum of those two numbers?

Vedclass Test Series

Exam Paper Generator

Online Exam Module