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.

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.

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 Series are arranged how the missing square series are arranged.

 


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

  1. 1071
  2. 1331
  3. 1411
  4. 1521

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (D)
How to Solve
292 = 841
392 = 1521
492 = 2401
592 = 3481
692 = 4761
Rough Workspace

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

  1. 49
  2. 56
  3. 65
  4. 76

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (A)
How to Solve
12 = 1
32 = 9
52 = 25
72 = 49
92 = 81
112 = 121
Rough Workspace

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

  1. 131
  2. 119
  3. 121
  4. 111

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (C)
How to Solve
172 = 289
152 = 225
132 = 169
112 = 121
92 = 81
Rough Workspace

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

  1. 565
  2. 605
  3. 655
  4. 625

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (D)
How to Solve
212 = 441
222 = 484
232 = 529
242 = 576
252 = 625
Rough Workspace

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

  1. 196
  2. 199
  3. 206
  4. 211

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (A)
How to Solve
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
Rough Workspace

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

  1. 2099
  2. 2055
  3. 2025
  4. 1955

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (C)
How to Solve
452 = 2025
462 = 2116
472 = 2209
482 = 2304
492 = 2401
502 = 2500
Rough Workspace

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

  1. 1109
  2. 1049
  3. 1089
  4. 1005

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (C)
How to Solve
312 = 961
322 = 1024
332 = 1089
342 = 1156
352 = 1225
Rough Workspace

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

  1. 45
  2. 49
  3. 53
  4. 57

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (B)
How to Solve
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
Rough Workspace

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

  1. 205
  2. 225
  3. 235
  4. 255

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (B)
How to Solve
112 = 121
132 = 169
152 = 225
172 = 289
192 = 361
Rough Workspace

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

  1. 2699
  2. 3025
  3. 2905
  4. 3255

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (B)
How to Solve
112 = 121
222 = 484
332 = 1089
442 = 1936
552 = 3025
662 = 4356
Rough Workspace

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

  1. 1156
  2. 1106
  3. 1176
  4. 1206

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (A)
How to Solve
312 = 961
322 = 1024
332 = 1089
342 = 1156
352 = 1225
Rough Workspace

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

  1. 2000
  2. 1987
  3. 1899
  4. 1936

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (D)
How to Solve
432 = 1849
442 = 1936
452 = 2025
462 = 2116
472 = 2209
Rough Workspace

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

  1. 2284
  2. 2249
  3. 2209
  4. 2193

Show Answer Show How to Solve Open Rough Workspace

Answer: Option (C)
How to Solve
502 = 2500
492 = 2401
482 = 2304
472 = 2209
462 = 2116
452 = 2015
Rough Workspace

Other Types of Number Series

 

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.

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.

65 comments

  1. Divneet singh says:

    These all tricks are very helpful..so pleeze send me all tricks in my I’d .. Pleeze these are very important to me..thanq

  2. Karthik says:

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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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  6. Mai Nguyen says:

    This site is really helpful. Thanks so much for your work. It would be so nice if you could kindly send me all the tricks via: ngocmai.ng90@gmail.com. Million thanks in advance!!!

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