PSLE Letters X, W, H formed a patten as shown below.
X W X H X X W X H X X W X H X . . .
If there are 91 'X', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of X W X H X = 5
Number of letters 'X' in 1 set of X W X H X = 3
Number of sets of 3 'X' if there are 91 'X'
= 91 ÷ 3
= 30 r 1
If the remainder is 1, there is 1 'X' and the largest possible number of letters is the final incomplete set is 2. (X W)
If the remainder is 2, there are 2 'X' and the largest possible number of letters is the final incomplete set is 4. (X W X H)
Greatest possible number of letters
= 30 x 5 + 2
= 150 + 2
= 152
Answer(s): 152