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

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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 ??

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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 ?

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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 ?

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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?

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

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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 ?

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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

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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?

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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?