Perfect square series is an arrangement of numbers in a certain order where each numbers are square of a number. So, in that series of numbers some numbers are missing. You need to observe and find the missing number of that series of numbers.

This type of problem are given in Quantitative Aptitude part which is a very essential in competitive exam. And, it is very simple to work with perfect square root numbers. You can easily obtain the result of perfect square number. So, how you get Perfect square missing numbers by memorize square and square root numbers shortcut tricks.

Few Important things about Perfect Square Series

The square of same number and the square result of a number which is equal to the square of another same element. In mathematical world, a square number or perfect square is number of an integer positive integer that is the square of an same integer number always and the numbers are non-negative.

So, in other words, we say it is the result of product of multiplication of some positive integer numbers with itself always. For example, we consider 4 is a result of square numbers, since it as 2 × 2 in normal way.

The normal representation of square numbers is n^{2}and that is similar with products of n × n, but it is similar with exponentiation of n^{2},

In Square numbers are positive number. So, we can explain it that a positive number is a square number, where it’s square roots are always integers positive numbers. So, for example, √4 = ±2, so 4 is a square number.

Perfect Square Series

Now, here we see the some examples that how the Perfect Square Series are arranged how the missing square series are arranged.

Perfect Square Series: Example #1

841, ? , 2401, 3481, 4761

1071

1331

1411

1521

Show AnswerShow How to SolveOpen Rough Workspace

Answer: Option (D)

How to Solve 29^{2} = 841 39^{2} = 1521 49^{2} = 2401 59^{2} = 3481 69^{2} = 4761

So, we provide few shortcut tricks on Perfect Square Series. Please visit this page to get updates on more Math Shortcut Tricks. And you can also like our facebook page to get updates.

So, now if you have any question regarding this Perfect Square Series then please do comment on below section. You can also send us message on facebook.

67 comments

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its a perfect square series, So you have understand the pattern, in first example maintain a same pattern like 21( square) = we know 21 x 21 = 441 Similarly 22(square), 23(square), 24(square), than lastly 25(square) 25 x 25 = 625 ans.

if questions are like this means then it is k if suppose the question is like 0 2 6 12 20 30 then it is not a series of perfect sruares or cubes so if they r perfect squares or cubes then it is k if the que is like this how to solve them and tell me tricks to solve this type of questions

Mr Rupesh, Just at a single glance it can be said that it is not of perfect square series r cubes. check the difference between predecessor and successor number, it is a raising even number series.

Whichever May be the number series, the shortcut would be applied only after analyzing the difference.

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its a perfect square series, So you have understand the pattern, in first example maintain a same pattern like 21( square) = we know 21 x 21 = 441

Similarly 22(square), 23(square), 24(square), than lastly 25(square) 25 x 25 = 625 ans.

if questions are like this means then it is k if suppose the question is like 0 2 6 12 20 30 then it is not a series of perfect sruares or cubes so if they r perfect squares or cubes then it is k if the que is like this how to solve them and tell me tricks to solve this type of questions

Mr Rupesh,

Just at a single glance it can be said that it is not of perfect square series r cubes.

check the difference between predecessor and successor number, it is a raising even number series.

Whichever May be the number series, the shortcut would be applied only after analyzing the difference.

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