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Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?
**category** :
MATHS

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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?

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Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?
**category** :
LOGIC

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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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There are three bags.The first bag has two blue rocks. The second bag has two red rocks. The third bag has a blue and a red rock. All bags are labeled but all labels are wrong.You are allowed to open one bag, pick one rock at random, see its color and put it back into the bag, without seeing the color of the other rock.

How many such operations are necessary to correctly label the bags ?

How many such operations are necessary to correctly label the bags ?

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You roll two six sided dices together.

Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?

Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?

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I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy?

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I am a book lover and i saw a book for Pound 97.

I am short of money , so i borrowed Pound 50 from my sister and 50 from my brother = Pound 100.

I bought the book, and had Pound 3 change. I gave brother Pound 1 and my sister Pound 1 and kept the other Pound 1 for myself. Now I owe my mum Pound 49 and my brother Pound 49. 49+49 = 98 + my Pound 1 = 99.

Where is the missing Pound ?

I am short of money , so i borrowed Pound 50 from my sister and 50 from my brother = Pound 100.

I bought the book, and had Pound 3 change. I gave brother Pound 1 and my sister Pound 1 and kept the other Pound 1 for myself. Now I owe my mum Pound 49 and my brother Pound 49. 49+49 = 98 + my Pound 1 = 99.

Where is the missing Pound ?

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A river should be crossed by a father, a mother and their two sons and two daughters.

There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?
**category** :
LOGIC

There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?

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Jamie looked at his reflection on the window mirror of the 45th floor. Driven by an irrational impulse, he made a leap through the window on the other side. Yet Jamie did not encounter even a single bruise.

How can this be possible if he did neither landed on a soft surface nor used a parachute?

How can this be possible if he did neither landed on a soft surface nor used a parachute?

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You are stuck with the pirates who might even kill you on board. They give you a chance to survive. There are hundred black rocks and hundred red rocks. There are two empty sacks which are labelled as heads and tails respectively. You have to divide the rocks in two bags as per your wish. Then a fair coin will be flipped. If its heads, you will have to pick a rock on random from the sack labelled heads and if its tails, you will pick up from the tails sack. If you pick up a black rock, you will be freed and if you pick up a red rock, you will be killed.

How will you distribute the rocks so that your chances of survival are the best?

How will you distribute the rocks so that your chances of survival are the best?

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