Question

What is the least number which when divided by 20 25 35 40 live respectively 14 19 29 34 as remainder

Answer 1

Answer:

So the least number is 694 which when divide by 20,25,35,40 give remainder 14,19,29, 34

Step-by-step explanation:

Dear ,

Here is your answer.

I will provide you a very simple trick to calculate least number .

First of all when in question given that we have to find least number / smallest number so we need to calculate L.C.M of the term.

And if we need to calculate largest number so we need to calculate H.C.M

Hope it's Clear to you.

Now came to the question

Calculate the L.C.M of the 20,25,35,40

So L.C.M is 700

Now it's a important step

Take a different of number and remainder

(20-14) ,(25-19) ,(35-29) ,(40-34)

6,6,6,6

In 99.99% case different is always same.

Now just substract 6 from 700

•700-6

•= 694 Ans..

So the least number is 694 which when divide by 20,25,35,40 give remainder 14,19,29, 34

Hope it's help you.

Thank-you.