#331 - Maths Handshake Puzzle

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

Maths Handshake Puzzle

12

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

#332 - Analytical Maths Riddle

Can you find four consecutive prime numbers that add up to 220?

Analytical Maths Riddle

47 + 53 + 59 + 61 = 220

#333 - Mathematics Puzzle

Lavesh can paint a a house in just 3 hours.However it takes 6 hours for vishesh to complete the same job.
How long would it take for both to complete the same job?

Mathematics Puzzle

two hours.

lavesh who could complete the job in 3 hours could complete 2/3 of the job in two hours. Vishesh who complete the job in 6 hours could complete 1/3 of the job in two hours.
2/3 + 1/3 = 1.

#334 - Number Fact Puzzle

The square of the number 111,111,111 is amazing.Whats that ?

Number Fact Puzzle

12,345,678,987,654,321 Amazing :-)

#335 - Distance Problem

Two towns are exactly 100 km apart. Rakesh leaves City A driving at 30 km/hr and Harish leaves City B a half an hour later driving 60 km/hr. Who will be closer to City A when they meet?

Distance Problem

Both would be the same distance from City A.

#336 - Mathematical Logic Puzzle

using four eights (8) and a one (1) and one mathematical symbol , create the number 100

Mathematical Logic Puzzle

188 - 88

#337 - Number Riddle

What number divided by 4 is the same as that number minus 4?

Number Riddle

5 1'3

#338 - Math Logic Puzzle

In a guess game , five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed as 22 , 24, 29 , 33 , 38, but none of guess was right.The guesses were off by 1, 8, 6, 3, and 8 (in a random order).

From this information, can you determine the number of apples in a basket ?

Math Logic Puzzle

30 apples

22(by 8) , 24(by 6) , 29(by 1) , 33(by 3) , 38(by 8)

#339 - Tricky Maths Problem

I drive at an average speed of 30 miles per hour to the railroad station each morning and just catch my train. On a particular morning there was a lot of traffic and at the halfway point I found I had averaged only 15 miles per hour. How fast must I drive for the rest of the way to catch my train?

Tricky Maths Problem

The train is just about to leave the station and there is no way I will be able to catch it this time.

#340 - Maths Problem

The sum of a mother, her baby and her dog weight is 170 pounds.How much does the baby weigh if the mother weighs 100 pounds more than the combined weight of the baby and the dog,and the dog weighs 60 percent less than the baby?

Maths Problem

Lady:135 , Baby:25 & Dog:10