Question

How many numbers between 10 to 300.When divided by 4,leave remainder 3?​

Answer 1

Answer:

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 = 15The other numbers in this will be = 15 + 4 = 19 ; 19 + 4 = 23 ; 23 + 4 = 27So, 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)d299 = 11 + (n -1)4299 = 11 + 4n - 4299 - 11 + 4 = 4n292 = 4nn = 292/4n = 73So, total 73 numbers lie between 10 to 300 which when divided by 4 lesve remainder as 3