PSLE Letters H, F and B formed a patten as shown below.
H F H B H H F H B H H F H B H . . .
If there are 97 'H', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of H F H B H = 5
Number of letters 'H' in 1 set of H F H B H = 3
Number of sets of 3 'H' if there are 97 'H'
= 97 ÷ 3
= 32 r 1
If the remainder is 1, there is 1 'H' and the largest possible number of letters is the final incomplete set is 2. (H F)
If the remainder is 2, there are 2 'H' and the largest possible number of letters is the final incomplete set is 4. (H F H B)
Greatest possible number of letters
= 32 x 5 + 2
= 160 + 2
= 162
Answer(s): 162