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# Perfect Square Series

## Perfect Square Series

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 n2and 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 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

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
292 = 841
392 = 1521
492 = 2401
592 = 3481
692 = 4761
Rough Workspace

### Perfect Square Series: Example #2

1, 9, 25, ? , 81, 121

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
12 = 1
32 = 9
52 = 25
72 = 49
92 = 81
112 = 121
Rough Workspace

### Perfect Square Series: Example #3

289, 225, 169, ? , 81

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
172 = 289
152 = 225
132 = 169
112 = 121
92 = 81
Rough Workspace

### Perfect Square Series: Example #4

441, 484, 529, 576, ?

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
212 = 441
222 = 484
232 = 529
242 = 576
252 = 625
Rough Workspace

### Perfect Square Series: Example #5

121, 144, 169, ? , 225

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
Rough Workspace

### Perfect Square Series: Example #6

? , 2116, 2209, 2304, 2401, 2500

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
452 = 2025
462 = 2116
472 = 2209
482 = 2304
492 = 2401
502 = 2500
Rough Workspace

### Perfect Square Series: Example #7

961, 1024, ? , 1156, 1225

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
312 = 961
322 = 1024
332 = 1089
342 = 1156
352 = 1225
Rough Workspace

### Perfect Square Series: Example #8

36, ? , 64, 81, 100, 121

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

Show Answer Show How to Solve Open Rough Workspace

How to Solve
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
Rough Workspace

### Perfect Square Series: Example #9

121, 169, ? , 289, 361

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

Show Answer Show How to Solve Open Rough Workspace

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

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

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

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

How to Solve
502 = 2500
492 = 2401
482 = 2304
472 = 2209
462 = 2116
452 = 2015
Rough Workspace

### Other Types of Number Series

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.

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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.

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• Guru says:

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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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