In a certain code language, 'REFUSAL' is coded as '2101239103', and 'POETRY' is coded as '1067927'. How will 'PROFIT' be coded in that language?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12186792.
The logic used here is:
First, arrange the word in alphabetical order.
The letters with the single positional value are multiplied by 2.
The letters with the double positional value are summed to get a number.
'REFUSAL' is coded as '2101239103'
REFUSAL = AEFLRSU
A = 1 × 2 = 2
E = 5 × 2 = 10
F = 6 × 2 = 12
L = 12 = 1 + 2 = 3
R = 18 = 1 + 8 = 9
S = 19 = 1 + 9 = 10
U = 21 = 2 + 1 = 3
REFUSAL = 2101239103
Similarly,
Code for the word PROFIT:
PROFIT = FIOPRT
F = 6 × 2 = 12
I = 9 × 2 = 18
O = 15 = 1 + 5 = 6
P = 16 = 1 + 6 = 7
R = 18 = 1 + 8 = 9
T = 20 = 2 + 0 = 2
PROFIT = 12186792
Hence, option 1 is the correct answer.