Daily quiz #011 - what number should replace the question mark

in #mathematics7 years ago

Good morning guys
I'm here again with today's edition of the ongoing daily quiz.

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(8+3) x 4 = 44
(9+7) x 2 = 32

75 / (8+7) = 5

the answer is 5

Congratulations man you won the quiz

First you take the bottom left corner and top corner and add them together. Take the sum of that number and multiple by the bottom right corner to get the big number in the center. Like this:
3+8 = 11, 11 x 4 = 44
9+7 = 16, 16 x 2 = 32
8+7 = 15, 15 x 5 = 75
The missing number is 5

Congratulations mate you are also among the winners to this quiz

Thanks! :)

you add up the numbers in the left and the upper corner. then you multiply this number with the Number in the right corner. And then you have the number in the middle :)
8+3 =11; 11 * 4=44
7+9=16; 16 * 2=32
7+8=15; 15 * ?=75
you have simply to divide the Number in the middle(75) through the number you get, when you add up the left and the upper corner (15) to get the number in the right corner.
The number in the right corner is 5.
:)

Waw your explanation really impress me :)

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8+3 =11
11*4 = 44

if we use that logic on the last one
then
7+8=15
75/15=5

so the ? is 5

An alternate answer: the product of every number in the triangle has nine prime factors.

8 * 44 * 3 = 2^5 * 3 * 11, which is 7 prime factors. The least number that can be multiplied to give 9 prime factors is 4.

7 * 32 * 9 = 2^5 * 3^2 * 7 , which which is 8 prime factors. The least numbers that can be multiplied to give 9 prime factors is 2.

7 * 75 * 8 = 2^3 * 3 * 5^2 * 7, which is 7 prime factors, again. So we should multiply by 4 to get two additional prime factors.

Therefore, the question mark should obviously be 4.

The number that must replace the question mark is 5.
In the case of the three triangles, first the top vertex is added next to the left vertex, then the result is multiplied by the right vertex. This is how you get the value.

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