Can Time Save You?

Logic Level 1

If the following is true, what would be the value of 4 ⋆ 9 4\star 9 ?

7 ⋆ 7 = 2 8 ⋆ 8 = 4 8 ⋆ 5 = 1 6 ⋆ 9 = 3 10 ⋆ 11 = 9 7\star7=2 \\ 8\star8=4 \\ 8\star5=1 \\ 6\star9=3 \\ 10\star11=9

Hint: See your clock/watch.

8 6 7 4 2 1 5 3

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Anish Harsha by Anish Harsha , 20, India

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6 solutions

Achille 'Gilles'
Nov 16, 2015

Hint: See your clock/watch. Have you looked at it?

Add the numbers on that:

A mathematical reprensations of the solution is : ( 4 + 9 ) m o d 12 = 1 \boxed{ (4+9) mod 12 = 1 }

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Anish Harsha
Nov 12, 2015

See that the trick to solve the problem is to assume the first number as the time in AM and the second number as the number of hours, you have to add to it. You'll find it in PM, when you do that.

7 AM + 7 hrs = 14 :00 or 2 pm
8 AM + 8 hrs = 16 :00 or 4 pm

Likewise, 4 AM + 9 hrs = 13 hrs or 1 pm.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

We could also find a pattern that makes the 'equations' true, ie. 7+7=2 can be written as 2x=2, so x has to =1. Therefore to make this true, x=n-6

Then, (4-6)+(9-6)=1

Alec Ross - 5 years, 7 months ago

It also works out simply by substituting * with plus 13 is 1 14 is 2 15 is 3 16 is 4 21 is 9 hence 9*4 which is 13 must be 1 😊

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Lijo Manuel
Nov 16, 2015

The symbol "*" can be assumed as the following function. f(x1,x2) = -12+x1+x2, where x1 and x2 are first two numbers. Now here x1=4 and x2=9. You get 1 as answer.

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Brendix Emata
Feb 20, 2016

4 * 9 = 13 = 1 mod (12)

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Anh Đức Trần
Feb 20, 2016

7+7=2, in this "equation" i do not regard 7 as number, but as symbol, leading to the result that "7" =1. Do the same with the second we have "8" =2. Then i ask myself, " is 9 =3, 10 =4 and 11 =5 ?" the answer is yes, and it lies in the other lines, which helps me ensure. Therefore, 4 =-2 (subtracted by 6) and 9=3, and 4+9 = 3-2 = 1

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