46 29 12= 212, 38 44 11 = 342, 26 28 12= 60 , 42 36 14 =?

Question

46 29 12= 212, 38 44 11 = 342, 26 28 12= 60 , 42 36 14 =?

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1 month 2021-08-13T15:36:38+00:00 1 Answer 0 views 0

1. 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!

1. Which of the following options will best complete the relationship given below? 13(4624)33 15(5735)42 11(????)37​

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