Question : Directions: In a certain code language, DRAMA is written as 32, and PLAY is written as 50. How will THEATRE be written in that language?
Option 1: 72
Option 2: 77
Option 3: 70
Option 4: 82
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Correct Answer: 70
Solution :
Given:
DRAMA is written as 32 and PLAY is written as 50 –
Add the positional value of the letters of the given word DRAMA then subtract the total number of letters in the word to obtain the required code –
D→4; R→18; A→1; M→13; A→1
Now, add the positional value of the given word DRAMA then subtract the total number of letters in the word –
4 + 18 + 1 + 13 + 1 = 37 – 5 = 32
Thus, DRAMA is coded as 32.
And, PLAY is written as 50 –
P→16; L→12; A→1; Y→25
Now, add the positional value of the given word PLAY then subtract the total number of letters in the word –
16 + 12 + 1 + 25 = 54 – 4 = 50
Thus, PLAY is coded as 50.
Similarly, follow the same pattern for THEATRE→
T→20; H→8; E→5; A→1; T→20; R→18; E→5
Now, add the positional value of the given word THEATRE then subtract the total number of letters in the word –
20 + 8 + 5 + 1 + 20 + 18 + 5 = 77 – 7 = 70
Thus, THEATRE is coded as 70. Hence, the third option is correct.
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