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23.	What comes next in this series?

Answer

5040 Multiply each number by 2, 3, 4, 5 and 6 and (finally) 7.

24.	What comes next in the series?

Answer

16 Each number reverses the previous number and adds 1 to each digit. Thus, in the first two terms, 16 reversed is 61, which then changes to 72. In the penultimate term, 50 reversed becomes 05, which in turn becomes 16 - by adding 1 to each digit.