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Question 18
How many numbers lie between 10 and 300, which divided by 4 leave a remainder 3?


Solution

Here, the first number is 11, which when divided by 4 leave remainder 3 between 10 and 300. Last term before 300 is 299, which when divided by 4 leave remainder 3.
   nth term, an = a + (n - 1)d = 299
299 = 11 + (n - 1)4
299 - 11 = (n - 1)4
4(n - 1) = 288
(n - 1) = 72
  n = 73

Mathematics
NCERT Exemplar
Standard X

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