46 38 42 26
29 44 36 28
12 11 14 12
212 342 ? 60
Answers
210 is the number.
Given data:
46 38 42 26
29 44 12 28
12 11 14 12
212 342 ? 60
Options: 210 , 200 , 202 , 205
To find:
The number that should fill the given position to find.
Solution:
Let the number to find be 'x'
The logic behind this question is- Taking the absolute difference between first two columns upto three rows and then,
(1st row diff x 2nd row diff) + (3rd row diff x ( 3rd row diff+ 9))
and that will be the difference between last row two numbers.
For first two columns:
Row 1: | 46 - 38 | = | 8 | = 8
Row 2: | 29 - 44 | = | - 15 | = 15
Row 3: |12 - 11 | = | 1 | = 1
Applying logical formula: (8 x 15) + ( 1 x ( 1 + 9))
= 120 + 10
= 130
And 130 is the difference between 212 and 342.
Similarly, for the next two columns:
Row 1: | 42 - 26 | = | 16 | = 16
Row 2: | 36 - 28 | = | 8 | = 8
Row 3: |14 - 12 | = | 2 | = 2
Applying logical formula: (16 x 8) + ( 2 x ( 2 + 9))
= 128 + 22
= 150
As the difference is 150, and the last number in the last column is 60, the last number in the third row will be
x - 60 = 150
[Per options, the answer should be >200, so we eliminate -(x-60) possibility]
x = 150 + 60
x = 210
Therefore, 210 is the number!
Learn more:
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