Question

how many numbers lie between 10 and 300 which when divided by 4 leave a remainder 3

Answer 1

heya mate

QUESTION : how many numbers lie between 10 and 300 which when divided by 4 leave a remainder 3

ANSWER :
The first number is 11 and the last number is 299.

The numbers are 11,15,19,23,27,…..,299. Each of these numbers leaves a remainder of 3 when divided by 4, and differ from each preceding number by 4. When dividing each number by 4 using a calculator, the decimal portion should give 0.75 (for example, 299 ÷ 4 = 74.75).

This series of numbers form an AP (Arithmetic Progression).

Use this formula to find n, the number of terms in the series:

Tn = a + (n - 1)×d ..…. where Tn= last term, a=1st term, d=common difference, n=number of terms

299 = 11+(n-1)×4

299–11=(n-1)×4

288÷4=(n-1)

72=n-1

n=73

Answer: 73 numbers

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Answer 2

Answer:

73 numbers in between 10&300 ..when divided by 4 leave 3 remainder

Step-by-step explanation:

11/4=3,15/4=3,19/4=3,23/4=3,27/4=3

Similarly

31,35,39,43,47

51,55,59,63,67....

71, same sequence...

91,..,.......,.................

111,...........

131,.......

151,......

171,......

191,.......

211,.....

231,......

251,.....

271,.....

At the end

291,295,299 . . when all these numbers divided by 4 then thy give remainder 3...

Hope it will helps u

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