PSLE Letters W, N and E formed a patten as shown below.
W N W E W W N W E W W N W E W . . .
If there are 115 'W', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of W N W E W = 5
Number of letters 'W' in 1 set of W N W E W = 3
Number of sets of 3 'W' if there are 115 'W'
= 115 ÷ 3
= 38 r 1
If the remainder is 1, there is 1 'W' and the largest possible number of letters is the final incomplete set is 2. (W N)
If the remainder is 2, there are 2 'W' and the largest possible number of letters is the final incomplete set is 4. (W N W E)
Greatest possible number of letters
= 38 x 5 + 2
= 190 + 2
= 192
Answer(s): 192