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What is the average of the seventh even number, fifth and eleventh odd number after 400?

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What is the average of the seventh even number, fifth and eleventh odd number after 400?
posted Jan 23, 2020 by Anuradha Tabyal

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0 votes

The average of squares of five consecutive even natural numbers is 792.
What is the ratio of smallest number to largest number?

+1 vote

Find the number if:
The cipher is made of 6 different numerals.
Even and odd digits alternate, including zero (in this case as an even number).
The difference between two adjacent numerals is always greater than one (in absolute value).
The first two numerals (as one number) as well as the two middle numerals (as one number) are a multiple of the last two numerals (as one number).
What is the cipher? There is more than 1 solution.

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Start with any number less than 20. If the number is even, halve it. If the number is odd, add one. Continue using the same rules writing each number one after the other. e.g. 17, 18, 9, 10, 5, 6, 3, 4, 2, 1.

Do they always end in 1? What is the longest list of numbers?

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