Which of the following will not be a number in the following series? 64, 125, 216, 343, 512, ......
829
We must decide which of the given options can never appear in the series \(64, 125, 216, 343, 512, \ldots\)
Each term is a perfect cube of consecutive natural numbers.
Check: \(64=4^{3},\ 125=5^{3},\ 216=6^{3},\ 343=7^{3},\ 512=8^{3}\).
So the series continues with \(9^{3}, 10^{3}, 11^{3}, 12^{3}, \ldots\)
Testing the options: \(1000=10^{3}\), \(1331=11^{3}\) and \(1728=12^{3}\) are all perfect cubes, so they belong to the series.
But \(829\) is not a perfect cube (it lies between \(9^{3}=729\) and \(10^{3}=1000\)), so it can never be a term.
Hence the number that will not be in the series is 829.
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Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
