When positive integer w is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?	Choose the correct choice from the following.
A) 0 B) 1 C) 2 D) 3 E) 4

Rationale: the equation that can be formed w is 13 x + 2 = 8 y + 5 . . 13 x - 3 = 8 y . . . as we can see x can take only odd values as the rhs will always be even . . also x can take values till 13 as 13 * 14 > 180 . . now we have to substitue x as 1 , 35 , 79 , 1113 . . . once we find 7 fitting in , any other value need not be checked as every 4 th value will give us answer so next value will be 15 . . ans 1 . . b
Answer: B