When a number is divided by 13, the remainder is 11. When the same nu…

Question

When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

Accepted Answer

Option B. 349. Answer & Solution Answer: Option B Solution: & x = 13p + 11\, and\,x = 17q + 9 & 13p + 11 = 17q + 9 & 17q - 13p = 2 & q = 2 + 13p17 & Thr\, least\, value\, of\,p\, for\, which & q = 2 + 13p17\, is\, a\, whole\, number\, is\,p = 26 & x = ( 13 × 26 + 11 ) & \,\,\,\,\,\,\,\,\,\,\,…