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The Lossless Mistake

Bob buys two things in a shop. With his pocket calculator he calculates in advance what he has to pay: 5.25 dollars. But what he does not notice is that he pressed the division instead of the addition button. At the desk he is not surprised if he hears that he has to pay 5.25 dollars. 

What is the price of the two things Bob has bought?

The Mistake Causing No Loss - Maths Puzzles

Know the cost of those 2 things.

For Mistake To Be Lossless...


What was the mistake?

Let's assume that those things costs a and b respectively.

As per Bob's wrong calculation,

a / b = 5.25

a = 5.25 b  ..........(1)

And according to what should have been correct,

a + b = 5.25

Putting (1) in above,

5.25b + b  = 5.25

6.25b = 5.25

b = 0.84

Again putting this value in (1) gives,

a + 0.84 = 5.25

a = 5.25 - 0.84

a = 4.41


How a mistake can be lossless - Maths Puzzles
 
Hence the cost of 2 things are $4.41 and $0.84.

The Game Of Guesses

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.

How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?


The Game Of Guesses - Logical Puzzles

Escape to answer without getting tricked! 

Correct Guesses From The Game Of Guesses


What was the game?

There is absolutely no way that somebody has guessed 3 correctly since if 3 are correct then 4th has to be correct. Hence, nobody guessed 3 correctly.

So number of people with all 4 guess correct is equal to 123 - 43 - 39 - 31 = 10.

10 people guessed all the 4 fruits correctly.



Correct Guesses From The Game Of Guesses - Maths Puzzles

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