When 13511, 13903, and 14589 are divided by the greatest number 'n', the remainder is 'm'. What is the value of (n + m)?
Show answer & explanation
Correct answer: B
Explanation
n = HCF (Differences between the numbers)
13903 − 13511 = 392
14589 − 13903 = 686
14589 − 13511 = 1078
n = HCF (392, 686, 1078)
392 = 2³ × 7²
686 = 2 × 7³
1078 = 2 × 7² × 11
HCF = 2 × 7² = 98
m = Remainder of 13511 ÷ 98
98 × 137 = 13426
m = 13511 − 13426 = 85
n + m = 98 + 85 = 183