Difficulty Popularity

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

Difficulty Popularity

Hockey Stick and ball cost $50. If the Stick cost $49 more than the ball.

what is the cost of each ?

what is the cost of each ?

Difficulty Popularity

Using eight eights and addition only, can you make 1000?

Difficulty Popularity

In a guess game , five friends had to guess the exact numbers of balls in a box.

Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).

Can you determine the number of balls in a box ?

Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).

Can you determine the number of balls in a box ?

Difficulty Popularity

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:

The fifth number plus the third number equals fourteen.

The fourth number is one more than the second number.

The first number is one less than twice the second number.

The second number plus the third number equals ten.

The sum of all five numbers is 30.

What were the five numbers and in what order?

The fifth number plus the third number equals fourteen.

The fourth number is one more than the second number.

The first number is one less than twice the second number.

The second number plus the third number equals ten.

The sum of all five numbers is 30.

What were the five numbers and in what order?

Difficulty Popularity

You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

Difficulty Popularity

A bank customer had Rs.100 in his account. He then made 6 withdrawals, totaling Rs.. He kept a record of these withdrawals, and the balance remaining in the account, as follows:

Withdrawals Balance left

Rs.50 Rs.50

Rs.25 Rs.25

Rs.10 Rs.15

Rs.8 Rs.7

Rs.5 Rs.2

Rs.2 Rs.0

Rs.100 Rs.99

Why are the Totals not exactly right ?

Withdrawals Balance left

Rs.50 Rs.50

Rs.25 Rs.25

Rs.10 Rs.15

Rs.8 Rs.7

Rs.5 Rs.2

Rs.2 Rs.0

Rs.100 Rs.99

Why are the Totals not exactly right ?

Difficulty Popularity

I have a 24L of water in a jar .

Can you divide into 3 equal parts using only a 13L, a 5L and an 11 liter Jar and offcourse 24L jar.

Can you divide into 3 equal parts using only a 13L, a 5L and an 11 liter Jar and offcourse 24L jar.

Difficulty Popularity

The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

How many of these numbers are prime ?

Difficulty Popularity

I can prove why 1 = 2

Step1. Lets say y = x

Step2. Multiply through by x xy = x2

Step3. Subtract y2 from each side xy - y2 = x2 - y2

Step4. Factor each side y(x-y) = (x+y)(x-y)

Step5. Divide both sides by (x-y) y = x+y

Step6. Divide both sides by y y/y = x/y + y/y

Step7. And so... 1 = x/y + 1

Step8. Since x=y, x/y = 1 1 = 1 + 1

Step9. And so... 1 = 2

How is this possible ?

Step1. Lets say y = x

Step2. Multiply through by x xy = x2

Step3. Subtract y2 from each side xy - y2 = x2 - y2

Step4. Factor each side y(x-y) = (x+y)(x-y)

Step5. Divide both sides by (x-y) y = x+y

Step6. Divide both sides by y y/y = x/y + y/y

Step7. And so... 1 = x/y + 1

Step8. Since x=y, x/y = 1 1 = 1 + 1

Step9. And so... 1 = 2

How is this possible ?

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