Confusing MAT Problem

Main post link -> http://postimg.org/image/jg98oblzx/

Open the link given above and see the question mark. Please fill in the question mark. There is a pattern either row wise or column wise. If someone wants the options, they are posted below: (A)14 (B)15 (C)16 (D)17

Note by Vinayak Verma
4 years, 9 months ago

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As stated, this is not a magic square. But assuming it's one of those "brain "teaser" tests", here's a solution that I see perfectly valid while not helping you at all:

The third number in each row is the minimum of the other two numbers in the row, multiplied by their sum.

By this, the question mark is either \(64\) or \(\dfrac{-1-3\sqrt{29}}{2}\). Neither is among the given choices.

The above simply states that doing such questions just wastes your time, because there are infinitely many interpretations possible, and a bunch of "plausible" interpretations.

Ivan Koswara - 4 years, 9 months ago

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Thank you Ivan for correcting me! The same question appeared in an examination which I gave. Can you come up with a solution among the four options?

Vinayak Verma - 4 years, 9 months ago

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Well guys, I think Rashmi gave the most accurate answer of this problem. Thanks a lot Rashmi. Nice try Ivan, Bhargav and Likhita!

Vinayak Verma - 4 years, 9 months ago

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This is not a magic square ! The sum of the numbers in each column and row must be same in a Magic square

Rashmi B K - 4 years, 9 months ago

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Thank You for correcting my knowledge about the magic squares. Well, did you come up with any more answers?

Vinayak Verma - 4 years, 9 months ago

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The answer is 14.

\(8+2 + 10 = 20\)

\(4+6+ 30 = 40\)

\(x+1+ 50 = 65\)

we end up \(x=14\)

Rashmi B K - 4 years, 9 months ago

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@Rashmi B K I think you are somewhat correct as you got the most possibly correct answer. Thanks a ton. Cheers!

Vinayak Verma - 4 years, 9 months ago

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I think the logic used here ,to get one of the options given as the answer is: \(20 - (8 \times 2)=4=2^{2}\) \(40 - (4 \times 6)=16=4^{2}\). That is, the above pattern is followed to get a perfect square. So,putting the various values we get,\(16\) as our required answer as \(65 - (1 \times 16)=49=7^{2}\), which is a perfect square. Hope that helps!

Bhargav Das - 4 years, 9 months ago

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I tried this logic of yours many a times but I don't think it is the most accurate answer. Nonetheless, nice try Bhargav. I think Rashmi gave the most accurate answer. Go check hers!

Vinayak Verma - 4 years, 9 months ago

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i got 64 without the the options

Likhitha Polepalli - 4 years, 9 months ago

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In the examination, the options enlisted were only these. I am sure the answer is one of the above options which I gave. Thank You for giving an answer. Can you provide a solution also?

Vinayak Verma - 4 years, 9 months ago

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Please I want the answer asap. If possible please provide me the solution.

Vinayak Verma - 4 years, 9 months ago

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