Get me 32

Logic Level 2

John has a calculator with 2 buttons, 2 and + .

He can get an expression equal to 8 by using the 2 button 4 times, as in 2 + 2 + 2 + 2 .

What is the minimum number of times he needs to press the 2 button to get an expression evaluating to 32?

The answer is 7.

3 solutions

Kb E
Nov 12, 2017

$22+2+2+2+2+2=32$ . Thus $7$ is the minimum number of times.

Yep, that is what I had in mind

Agnishom Chattopadhyay - 3 years, 7 months ago

Hunter Edwards
Nov 14, 2017

Since the two buttons $2$ and $+$ are included, most would assume that you would just add $2$ $16$ times, giving $32$ , thinking that you are not allowed to change the order in which you press them. However, you are allowed to press $2$ twice in a row, giving the following solution:

$2+2+2+2+2+22=32$

(2^2)*{2^(2/2+2)}

Abhinav Shripad - 3 years, 6 months ago

Very nice! Although the buttons did not include ( and )

Hunter Edwards - 3 years, 6 months ago

B D
Aug 28, 2018

You don't need to calculate how many times 2 is in 36. The biggest number of 2 that can fit in 36 is 22. You can't do this trick again so to make 10 out of 2 you need 10 : 2 = 5. 2 + 5 = 7.

Get me 32

The answer is 7.

3 solutions

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