Question : Directions: In a certain code language, GRAPE is coded as 21-54-3-48-15, and MELON is coded as 39-15-36-45-42. How will PEACH be coded in the same language?
Option 1: 48-15-3-8-27
Option 2: 48-15-3-9-24
Option 3: 49-15-3-9-27
Option 4: 45-16-3-9-24
Correct Answer: 48-15-3-9-24
Solution :
Given:
GRAPE is coded as 21-54-3-48-15, and MELON is coded as 39-15-36-45-42.
Multiply the positional value of the letters GRAPE by 3, to obtain the required code –
G→7 × 3 = 21; R→18 × 3 = 54; A→1 × 3 = 3; P→16 × 3 = 48; E→5 × 3 = 15
Thus, GRAPE is coded as 21-54-3-48-15.
And MELON is coded as 39-15-36-45-42 –
M→13 × 3 = 39; E→5 × 3 = 15; L→12 × 3 = 36; O→15 × 3 = 45; N→14 × 3 = 42
Thus, MELON is coded as 39-15-36-45-42.
Similarly, follow the same pattern for PEACH –
P→16 × 3 = 48; E→5 × 3 = 15; A→1 × 3 = 3; C→3 × 3 = 9; H→8 × 3 = 24
Thus, PEACH is coded as 48-15-3-9-24. Hence, the second option is correct.
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