I am trying some quantitative aptitude questions and I am unable to solve this particular question:
Unfortunately, I have no clue how it can be solved; I am not able to start. However, I know the answer is:
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Try looking at this another way round. Specifically:
Read all the numbers backwards, i.e. taking the right-hand digits first. Your sequence is then: 16, 25, 36, 49, ___, 81, 100, 121. What are these?
The answer is beneath this spoiler - but try to solve it yourself first before you look. You see, all of these are:
Square numbers from 4 squared up to 11 squared. The missing number is thus 8 squared (64), so reverse its digits to get 46, your final answer.
The giveaway is:
the number '001' - why does this have leading zeros when none of the others do? Reverse it and all becomes obvious!