Question : Directions: If in a coding system, FIXED is coded as 86 and COMPANY is coded as 101, then how will INTERIM be coded in the same coding system?
Option 1: 101
Option 2: 100
Option 3: 99
Option 4: 102
Correct Answer: 100
Solution :
Given:
FIXED is coded as 86 and COMPANY is coded as 101.
Add the reverse position value of the letters of the word FIXED and subtract 1 from the resultant number to obtain the required code –
F→21; I→18; X→3; E→22; D→23
Now, add the above position value of the given word FIXED and subtract 1 from the resultant number –
(21 + 18 + 3 + 22 + 23) – 1 = 87 – 1 = 86
Thus, FIXED is coded as 86.
And, COMPANY is coded as 101.
C→24; O→12; M→14; P→11; A→26; N→13; Y→2
Now, add the above position value of the given word PETRIFY and subtract 1 from the resultant number –
(24 + 12 + 14 + 11 + 26 + 13 + 2) – 1 = 102 – 1 = 101
Thus, COMPANY is coded as 101.
Similarly, follow the same pattern for INTERIM –
I→18; N→13; T→7; E→22; R→9; I→18; M→14
Now, add the above position value of the given word INTERIM and subtract 1 from the resultant number –
(18 + 13 + 7 + 22 + 9 + 18 + 14) – 1 = 101 – 1 = 100
So, INTERIM is coded as 100. Hence, the second option is correct.
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