Question

How many numbers lie
between 10 and 300, which when divided by 4 leave a remainder 37​

Answer 1

Step-by-step explanation:

Solution:-

The first number greater 10 which when divided by 4 leaves a remainder 3 is 11.

So, the next number will be 11 + 4 = 15

The other numbers in this will be = 15 + 4 = 19 ; 19 + 4 = 23 ; 23 + 4 = 27

So, the AP = 11, 15, 19, 23, 27, 32......

The last term of this AP will be 299.

We have to find the total numbers that lie between 10 and 300, which when divided by 4 leaves a remainder 3.

In fact we have to find 'n' that is the number of terms of the AP.

an = a + (n - 1)d

299 = 11 + (n -1)4

299 = 11 + 4n - 4

299 - 11 + 4 = 4n

292 = 4n

n = 292/4

n = 73

So, total 73 numbers lie between 10 to 300 which when divided by 4 leaves a remainder 3.

Hope it helps ✌❤❤

Don't forget to FOLLOW me and mark as BRAINLIEST ❤✌✌❤

Answer 2

Answer:

Not possible

Step-by-step explanation:

When a number is divided by any number,the remainder is always lesser than the divisor.So when a number is divided by 4,the remainder will always be lesser than 4 so it cannot be equal to 37.