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 we can  written it  as 2 × 2 in normal way .

The normal representation of square numbers and for the formula for the square of a number n is the product n × n, but it is  equivalent exponentiation of n2, so we it can easily called as   “n squared”. The name square number comes from the name of the shape of equal numbers.

In Square numbers are non-negative positive number . In another way we can explain it that a non-negative 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: 441, 484, 529, 576, ?,
Answer: 441 = 212, 484 = 222, 529 = 232, 576 = 242 ,625 = 252.

Example 2: 121, 144, 169, ?, 225
Answer: 121 = 112, 144 = 122, 169 = 132, 196 = 142, 225 = 152.

Example 3: ?, 2116, 2209, 2304, 2401, 2500
Answer: 2025 = 452, 2116 = 462, 2304 = 482, 2401 = 492, 2500 = 502


Example 4: 961, 1024, ?, 1156, 1225
Answer: 961 = 312, 1024= 322, 1089 = 332, 1156 = 342, 1225 = 352.

Example 5: 36, ?, 64, 81, 100, 121
Answer: 36 = 62, 49 = 72, 64 = 82, 81 = 92, 100 = 102, 121 = 112.

Example 6 : 121 , 169 , ? , 289 , 361
Answer : 112 = 121 , 132 = 169 , 152 = 225 , 172 = 289 , 192 = 361

Example 7 : 121 , 484 , 1089 , 1936 , ? ,  4356
Answer : 112 = 121 , 222 = 484 , 332 = 1089 , 442 = 1936 , 552 = 3025 , 662 = 4356

Example 8 : 961 , 1024 , 1089 , ? 1225
Answer : 312 , 322 , 332 , 342 , 352

Example 9 : 1849 , ? , 2025 , 2116 , 2209
Answer : 432 , 442 , 452 , 462 , 472

Example 10 : 2500 , 2401 , 2304 , ? , 2116 , 2025
Answer : 502 , 492 , 482 , 472 , 462 , 452

 

 

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16 comments

  1. Divneet singh says:

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  10. 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

    Reply
  16. sudarshini says:

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

    Reply

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