Question
Download Solution PDFFind the smallest 4 digit number which is divided by 8,10,12,15,20 and leaves the remainder as 7.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the smallest 4 digit number which is divided by 8, 10, 12, 15, 20 and leaves the remainder as 7.
Formula used:
LCM of the given numbers + remainder
Calculation:
LCM of 8, 10, 12, 15, 20 = 120
Smallest 4-digit number is 1000
1000 divided by 120 gives quotient 8 and remainder 40
⇒ 1000 + (120 - 40) = 1000 + 80 = 1080
⇒ 1080 + 7 = 1087
∴ The correct answer is option (3).
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