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Find the least multiple of 23 which when divided by 24, 21, and 18 leaves the remainders 13, 10, and 7 respectively

Option 1)
$3004$
Option 2)
$3024$
Option 3)
$3013$
Option 4)
$3026$
Option 5)
-

Answers (1)

best_answer

$LCM \: \left ( 24,21,18 \right )=504$

$24-13=11, 21-10=11, 18-7=11$

$\left ( 504\: k-11 \right )\: is \: divisible \: by\: 23$

$K=6$

$504\ast6-11=3013$

Posted by

rishi.raj

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