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