### #1 - Cool Maths Puzzle

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

44 and 66

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

44 and 66

Sonal asked the class to see if they could find the sum of the first 50 odd numbers. As everyone settled down to their addition, Lavesh ran to her and said, 'The sum is 2,500.' Ms. Sonal thought, 'Lucky guess,' and gave him the task of finding the sum of the first 75 odd numbers. Within 20 seconds, Lavesh was back with the correct answer

How does Lavesh find the sum so quickly and what is the answer ??

The following pattern holds: The sum is equal to n x n, when n is the number of consecutive odd numbers, starting with 1. For example, the sum of the first 3 odd numbers is equal to 3 x 3, or 9; the sum of the first 4 odd numbers is equal to 4 x 4, or 16; the sum of the first 5 odd numbers is equal to 5 x 5, or 25; and so on.

According to number theory of mathematics , a perfect number is a positive integer that is equal to the sum of its positive divisors excluding the number itself.

For example :

6 => 1+2+3

28 =>1+2+4+7+14

I know one more number that is a perfect number and contains not more than 2 digits (i.e 496 won't be consider as it contains 3 digits).

Find the number ?

12=> 1+2+3+6

cannot be 1 (as number cannot be included)

I have a role of cloth 1km long.

I have a machine which cuts this role into pieces of 10 meter long cloth.

How long would it take for the machine to cut the roll if each cut took 4 secs ?

396 seconds

1000m would only take 99 cuts not 100.

so 4*99 => 396

I am the owner of a birds store. If I put in one bird per cage, I have one bird too many. If I put in two bird per cage, I have one cage too many. How many cages and birds do I have?

I have 3 cages and 4 birds

Find the value of a by solving the maths equation in the picture below

2(remember bodmas)

A brand new Beats Headphone was on sale at 20% as a promotional offer. By what percent must the headphone price be increased to sell it at the original price again ?

25%.

Suppose a $10 item is reduced by 20%, the price will drop to $8. Now to make it the original price we must add $2 more which is 25% of $8.

An express train takes 3 seconds to enter tunnel which is 1 km long.

If it is traveling at 120 km an hour, how long will it take to pass completely through the tunnel

The train takes 30 seconds to travel 1 km, plus 3 seconds for the complete train to pass any point, making a total of 33 seconds.

Fred can eat 27 chocolates in a hour, Alice can eat 2 chocolates in 10 minutes, and Kelly can eat 7 chocolates in 20 minutes. How long will it take them to share and eat a large box of 120 chocolates whilst watching a movie?

2 hours.

In one hour, Fred eats 27 chocolates, Alice eats 12, and Kelly eats 21. A total of 60 chocolates. Therefore 120 chocolates would take 120 รท 60 = 2 hours. QED.

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?

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.