Maths Puzzles

A go cart track is 1 mile long. A driver drives the cart at a speed of 30 miles an hour in the first lap. What must be his speed in the second lap, so that he completes the two laps in two minutes?

 Here is the solution to puzzle 76      2 + 4 X 6 + 8 = 44      2 X 4 - 6 + 8 = 16      (2 + 4) / 6 + 8 = 9  

What arithmetic symbols do you have to insert in between the numbers to get the correct result? Note that only the symbols +, -, × , ÷ and () are used. 2 4 6 8 = 44 2 4 6 8 = 16 2 4 6 8 = 9

 Here is the solution to puzzle 75  Well, it is actually very simple. The first digit of previous number is moved to last. The series was 4782, 7824, 8247   So the next number is 2478.

 What number comes next in the series?          4782, 7824, 8247,-----?

 Here were some simple puzzles The solutions are as follows The numbers whose product  = their sum are 1,2 and 3. Do you know any more sets? There are 3 books to the left of the given book and 8 to the right. So totally 3+8+1 = 12 books are there.  99 + 9/9 = 100. If you like to arrange numbers to get a target number, have a look at my countdown game Of course, he was born on 29th of February and his birthday arrived only once in 4 years.

 Or shall I say slightly silly? Which three positive integers have their sum equal to their product? There are several books in a book shelf. If a book is 4th book from the left and 9th book from the right, how many books are there totally? Can you arrange four 9s to make it a 100? A very old man dies on his 25th birthday? How is the statement correct? You may know all the 4 answers as these are quite commonly asked riddles and not at all tough.

The product of all the numbers in your telephone is    0 Because the phone has a zero in it. When you multiply any number by 0, you get 0.

 Do you know the sum of 1+2+3+....+1000=? How fast can you find out the sum?  OK, let us go in steps. How much is 1+2+3+..+10? Is it 55? Did you add all the numbers? Really? Did you add all the numbers?  Then certainly you can't find out sum of all the numbers from 1 to 1000. You will be bored to death before you finish adding them. The formula my dear is 1+2+...+n = n(n+1)/2 You already knew it? You are the smart one! Aren't you? OK. Now for the real puzzle of today. What is product you get when you multiply all the numbers on your telephone?  (You must have seen a telephone, a landline telephone? Even if you haven't, what is the product of numbers on your mobile, when you try to dial some number - product of all numbers on the the numeric keypad. Excluding backspace and hash. We are not into cryptography - yet!)

 Here is a set of silly puzzles. I am the beginning of sorrow and the end of sickness. You cannot express happiness without me yet. I am always in risk yet never in danger. You may find me in the sun, but I am never out of darkness. Paul’s height is six feet, he’s an assistant at a butcher’s shop, and wears size 9 shoes. What does he weigh? A man is looking at a photograph of someone. His friend asks who it is. The man replies, “Brothers and sisters, I have none. But that man’s father is my father’s son.” Who was in the photograph? The person who makes it has no need for it. The person who purchases it does not use it. The person who does use it does not know he or she is. What is it? The water level in a reservoir is low, but doubles every day. It takes 60 days to fill the reservoir. How long does it take for the reservoir to become half full?   Solutions The letter s. He weighs meat. Ha ha. His son. A coffin 59 days. Because if it is half full on 59th day, it will double on nex

  The question was The following characteristics apply to a group of people in a room: Fourteen are blonds, eight are blue-eyed, and two are neither blond nor blue-eyed. If five of the people are blue-eyed blonds, how many people are in the room?   Solution :   Let us try to understand this with a diagram In this diagram a = blue eyed people who are not blond     b - blond people who are not blue eyed c - both blond and blue eyed      d - neither blond nor blue eyed (which is 2) We know that c = 5. And a+c (blue eyed people)= 8. Which means a  = 8-5 = 3 We also know that b+c = number of blonds  = 14. So b = 14 - 5 = 9 Now total number of people in the party  = a+ b+c+d = 3+9+5+2 = 19 So c is the correct answer.

 The following characteristics apply to a group of people in a room:  Fourteen are blonds, eight are blue-eyed, and two are neither blond nor blue-eyed. If five of the people are blue-eyed blonds, how many people are in the room? (a) 3 (b) 17 (c) 19 (d) 24 (e) 29