Perfect Square Series


Perfect Square Series
Perfect square series is a arrangement of numbers in a certain order, where some numbers Series are based on square of a number which is in same order you need to place one square number that is missing in that given series, we need to observe and find the accurate number to the series of numbers.

This type of problem are given in Quantitative Aptitude which is a very essential in banking exam. It is simple to work on perfect square root numbers you can easily obtain the result of perfect square number. How you get easily by  Perfect square numbers  missing term by memorize square and square root numbers shortcut tricks .

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.

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 nand that is similar with products of n × n, but it is  similar with exponentiation of n2 ,

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

 

Perfect Square Series
Here we see the some examples that how the perfect square are arranged how the missing square series are arranged.

 

Example #1
841, ? , 2401, 3481, 4761

Answer
292, 392, 492, 592, 692

 

Example #2
1, 9, 25, ? , 81, 121

Answer
12, 32, 52, 72, 92, 112

 

Example #3
289, 225, 169, ? , 81

Answer
172, 152, 132, 112, 92

 

Example #4
441, 484, 529, 576, ?

Answer
441 = 212, 484 = 222, 529 = 232, 576 = 242, 625 = 252

 

Example #5
121, 144, 169, ? , 225

Answer
121 = 112, 144 = 122, 169 = 132, 196 = 142, 225 = 152

 

Example #6
? , 2116, 2209, 2304, 2401, 2500

Answer
2025 = 452, 2116 = 462, 2209 = 472, 2304 = 482, 2401 = 492, 2500 = 502

 

Example #7
961, 1024, ? , 1156, 1225

Answer
961 = 312, 1024= 322, 1089 = 332, 1156 = 342, 1225 = 352

 

Example #8
36, ? , 64, 81, 100, 121

Answer
36 = 62, 49 = 72, 64 = 82, 81 = 92, 100 = 102, 121 = 112

 

Example #9
121, 169, ? , 289, 361

Answer
112 = 121, 132 = 169, 152 = 225, 172 = 289, 192 = 361

 

Example #10
121, 484, 1089, 1936, ? , 4356

Answer
112 = 121, 222 = 484, 332 = 1089, 442 = 1936, 552 = 3025, 662 = 4356

 

Example #11
961, 1024, 1089, ? , 1225

Answer
312, 322, 332, 342, 352

 

Example #12
1849, ? , 2025, 2116, 2209

Answer
432, 442, 452, 462, 472

 

Example #13
2500, 2401, 2304, ? , 2116, 2025

Answer
502, 492, 482, 472, 462, 452

 

 

Other Types of Number Series

 

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63 comments

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  3. mohan dharwal says:

    it is most important and simple technique of mathematics.with the help of this techque student easly crack any competitive exam.we thakful

  4. sudarshini says:

    hi its very good techniques to save time in compitative exams. Thank you admin .Please send this techniques to sudarshinikm36@gmail.com

    • Admin says:

      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.

      • rupesh says:

        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

        • Guru says:

          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.

          Hope u got me..

          Please correct if i am wrong..

          Thanks

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