PSLE Letters U, P and L formed a patten as shown below.
U P U L U U P U L U U P U L U . . .
If there are 61 'U', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of U P U L U = 5
Number of letters 'U' in 1 set of U P U L U = 3
Number of sets of 3 'U' if there are 61 'U'
= 61 ÷ 3
= 20 r 1
If the remainder is 1, there is 1 'U' and the largest possible number of letters is the final incomplete set is 2. (U P)
If the remainder is 2, there are 2 'U' and the largest possible number of letters is the final incomplete set is 4. (U P U L)
Greatest possible number of letters
= 20 x 5 + 2
= 100 + 2
= 102
Answer(s): 102