The largest four-digit number which when divided by 14, 15 and 8 leaves remainder 4 in each case is:
9244
A number leaving remainder 4 when divided by 14, 15 and 8 must be 4 more than a common multiple of these numbers.
\(\text{LCM}(14,15,8) = 840\).
The largest 4-digit multiple of 840 is \(840\times11 = 9240\), since \(840\times12=10080\) exceeds 9999.
Adding the remainder: \(9240+4 = 9244\).
Hence, the required number is 9244.
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The greatest three-digit number which is divisible by 14, 28, and 42 is:
What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?
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The HCF of 2091, 3485 and 4879 is x. The sum of the digits of x is:
If three numbers are in ratio of 3 : 5 : 7 and their LCM is 2415, what is the difference between the second number and the first number?
