Question

46 38 42 26
29 44 36 28
12 11 14 12
212 342 ? 60
solve this question

option is.. ....
210 , 200 , 202 , 205​

Answer 1

Correct Question :-

46 38 42 26

29 44 36 28

12 11 14 12

212 342 _ 60

(Refer to image also..)

Solution :-

Taking difference between first two column :-

→ 46 - 38 = 8

→ 29 - 44 = 15 (Taking Positive value.)

→ 12 - 11 = 1

Now,

→ 8 × 15 + {1 × (1+9)}

→ 120 + 10

→ 130

and, Difference of last two ,

→ 212 - 342 = 130

Similarly,

Difference of Last two column ,

→ 42 - 26 = 16

→ 36 - 28 = 8

→ 14 - 12 = 2

So,

→16 × 8 + {2×(2+9)}

→ 128 + 22

→ 150

and, Difference of last two will be same.

→ x - 60 = 150

→ x = 150 + 60

→ x = 210. (Ans.)

Hence, Option A is correct Answer.

(Excellent Question.)

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Answer 2

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!

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