Puzzle - can a six 3's can make 31?

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In summary, six 3's cannot be combined using basic arithmetic operations to make 31, but it is possible to make 31 using advanced mathematical operations such as factorial, exponentiation, and square root. However, it is not possible to make 31 using six 3's without any mathematical operations. The order of the 3's cannot be changed to make 31, and the significance of the number 31 in this puzzle is that it is a prime number, making it a difficult number to obtain using only six 3's.
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Carribeanking
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Puzzle - can a six 3's can make 31??

This ques was asked to me in cts interview
can a six 3's can make 31??
u can use +,-,*,/...
wanna answer reply me
 
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(3*3*3)+3+(3/3)
 
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This puzzle is an interesting one and it requires some mathematical thinking to solve it. Let's break it down step by step.

Firstly, we have six 3's which we can use to make the number 31. We are also given the four basic mathematical operations - addition (+), subtraction (-), multiplication (*), and division (/).

Using these six 3's, we can create different combinations to reach 31. Here are a few possibilities:

1. 3 + 3 + 3 + 3 + 3 + 3 = 18 (this is the maximum value we can get with six 3's)
2. 3 * 3 * 3 + 3 + 3 = 30
3. 3 * 3 + 3 * 3 + 3 * 3 = 27
4. (3 + 3) * (3 + 3) + 3 = 31

As you can see, we can get close to 31 but not exactly reach it. This means that with six 3's, it is not possible to make the number 31 using the given mathematical operations.

However, if we allow some other operations like using decimal points or factorials, we might be able to find a solution. For example:

5. 3.3 * 3.3 + 3.3 + 3.3 = 31.98 (close to 31)
6. 3! + 3! + 3! + 3! + 3! + 3! = 36 (again, the maximum value we can get with six 3's)

In conclusion, it is not possible to make the number 31 exactly with six 3's using the given mathematical operations. But it is always fun to explore different possibilities and think outside the box.
 

1. Can six 3's make 31 by using basic arithmetic operations?

No, six 3's cannot be combined using basic arithmetic operations (addition, subtraction, multiplication, division) to make 31. The closest possible value that can be obtained is 18 (3 x 3 x 3 x 3 x 3 x 3).

2. Is it possible to make 31 using six 3's by using advanced mathematical operations?

Yes, it is possible to make 31 using six 3's by using advanced mathematical operations such as factorial, exponentiation, and square root. For example, (3! + 3! + 3! + 3! + 3! + 3!) = 31.

3. Is there a way to make 31 using six 3's without using any mathematical operations?

No, it is not possible to make 31 using six 3's without using any mathematical operations. The only way to obtain 31 using six 3's is through some form of mathematical manipulation or calculation.

4. Can the order of the 3's be changed to make 31?

No, the order of the 3's cannot be changed to make 31. Regardless of how the six 3's are arranged, whether it is (3 x 3 x 3 x 3 x 3 x 3) or (3 + 3 + 3 + 3 + 3 + 3), the result will always be the same (18).

5. What is the significance of the number 31 in this puzzle?

The number 31 is significant in this puzzle because it is a prime number, meaning it can only be divided by 1 and itself. This makes it a difficult number to obtain using only six 3's, which makes the puzzle more challenging and interesting.

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