PSLE Letters P, U and K formed a patten as shown below.
P U P K P P U P K P P U P K P . . .
If there are 55 'P', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of P U P K P = 5
Number of letters 'P' in 1 set of P U P K P = 3
Number of sets of 3 'P' if there are 55 'P'
= 55 ÷ 3
= 18 r 1
If the remainder is 1, there is 1 'P' and the largest possible number of letters is the final incomplete set is 2. (P U)
If the remainder is 2, there are 2 'P' and the largest possible number of letters is the final incomplete set is 4. (P U P K)
Greatest possible number of letters
= 18 x 5 + 2
= 90 + 2
= 92
Answer(s): 92