Question
Download Solution PDFThe two numbers nearest to 10,000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7 are :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSolution :
The numbers which are exactly divisble by 2 , 3 , 4 , 5 , 6 and 7 are the multiples of the LCM of the given numbers.
∴ LCM of given numbers :
⇒ 2 × 2 × 3 × 5 × 7
⇒ 420
Now, dividing 10000 by 420.
Remainder = 340
∴ Number just less than 10000 and exactly divisble by given numbers :
⇒ 10000 - 340 = 9660
Number just greater than 10000 and exactly divisble by the given numbers:
⇒ 10000 + ( 420 - 340 )
⇒ 10080
Hence the correct answer is " 9660 and 10080".
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