Question : Directions: If DANGER is coded as 11–8–21–14–12–25, then how will the word MACHINE be coded?
Option 1: 20–10–8–12–15–16–7
Option 2: 20–8–10–15–16–21–12
Option 3: 10–21–15–14–26–17–18
Option 4: 20–8–10–16–17–22–13
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Correct Answer: 20–8–10–15–16–21–12
Solution :
Given:
DANGER is written as 11–8–21–14–12–25
Add 7 to the positional values of the letters of DANGER, to obtain the required code –
LETTERS | D | A | N | G | E | R |
POSITION VALUES | 4 | 1 | 14 | 7 | 5 | 18 |
Add 7 to the positional value of each letter.
D + 7 = 11; A + 7 = 8; N + 7 = 21; G + 7 = 14; E + 7 = 12; R + 7 = 25
Thus, DANGER is coded as 11–8–21–14–12–25.
Similarly, follow the same pattern for MACHINE –
LETTERS | M | A | C | H | I | N | E |
POSITION VALUES | 13 | 1 | 3 | 8 | 9 | 14 | 5 |
Add 7 to the positional value of each letter.
M + 7 = 20; A + 7 = 8; C + 7 = 10; H + 7= 15; I + 7 = 16; N + 7 = 21; E + 7 = 12
Thus, MACHINE is coded as 20–8–10–15–16–21–12. Hence, the second option is correct.
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