Question : Directions: In a certain code language, DESIGN is coded as 8 – 10 – 38 – 18 – 14 – 28 and FOREST is coded as 12 – 30 – 36 – 10 – 38 – 40. How will PLAYER be coded in the same language?
Option 1: 32 – 24 – 2 – 50 – 10 – 36
Option 2: 32 – 26 – 2 – 50 – 12 – 38
Option 3: 36 – 24 – 2 – 50 – 10 – 4
Option 4: 32 – 22 – 2 – 50 – 12 – 36
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Correct Answer: 32 – 24 – 2 – 50 – 10 – 36
Solution :
Given:
DESIGN is written as 8 – 10 – 38 – 18 – 14 – 28 and FOREST is written as 12 – 30 – 36 – 10 – 38 – 40.
Multiply the place value of each letter of DESIGN by 2, to obtain the required code –
| Alphabet | D | E | S | I | G | N |
| Place value | 4 | 5 | 19 | 9 | 7 | 14 |
| Multiply by 2 | 8 | 10 | 38 | 18 | 14 | 28 |
Thus, DESIGN is coded as 8 – 10 – 38 – 18 – 14 – 28.
And, FOREST is written as 12 – 30 – 36 – 10 – 38 – 40→
| Alphabet | F | O | R | E | S | T |
| Place value | 6 | 15 | 18 | 5 | 19 | 20 |
| Multiply by 2 | 12 | 30 | 36 | 10 | 38 | 40 |
Thus, FOREST is coded as 12 – 30 – 36 – 10 – 38 – 40.
Similarly, follow the same pattern for PLAYER –
| Alphabet | P | L | A | Y | E | R |
| Place value | 16 | 12 | 1 | 25 | 5 | 18 |
| Multiply by 2 | 32 | 24 | 2 | 50 | 10 | 36 |
So, PLAYER is coded as 32 – 24 – 2 – 50 – 10 – 36. Hence, the first option is correct.
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