PSLE Letters J, T and G formed a patten as shown below.
J T J G J J T J G J J T J G J . . .
If there are 64 'J', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of J T J G J = 5
Number of letters 'J' in 1 set of J T J G J = 3
Number of sets of 3 'J' if there are 64 'J'
= 64 ÷ 3
= 21 r 1
If the remainder is 1, there is 1 'J' and the largest possible number of letters is the final incomplete set is 2. (J T)
If the remainder is 2, there are 2 'J' and the largest possible number of letters is the final incomplete set is 4. (J T J G)
Greatest possible number of letters
= 21 x 5 + 2
= 105 + 2
= 107
Answer(s): 107