For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
12/04/2014

Problem #1

Which is the smallest number which, when divided by 2, 3, 4, 5 and 6 will give 1, 2, 3, 4 and 5 as remainders, respectively?

Problem #2

Find all five-digit numbers whose digits are are reversed when multiplied by 4.

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Solutions from 11/20/2014

Problem #1

The product of four consecutive whole numbers is 3024. What are these numbers?

Problem #2

An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

Congratulations to Kishore Balsara, Prem Kapoor and Gaurang Vaishnav, who were winners of the last set of puzzles.

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