PSLE Letters L, V and Y formed a patten as shown below.
L V L Y L L V L Y L L V L Y L . . .
If there are 82 'L', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of L V L Y L = 5
Number of letters 'L' in 1 set of L V L Y L = 3
Number of sets of 3 'L' if there are 82 'L'
= 82 ÷ 3
= 27 r 1
If the remainder is 1, there is 1 'L' and the largest possible number of letters is the final incomplete set is 2. (L V)
If the remainder is 2, there are 2 'L' and the largest possible number of letters is the final incomplete set is 4. (L V L Y)
Greatest possible number of letters
= 27 x 5 + 2
= 135 + 2
= 137
Answer(s): 137