Question : Directions: In a certain code language, BED is written as 122 and CAB is written as 37. How will ADD be written in that code language?
Option 1: 65
Option 2: 50
Option 3: 101
Option 4: 82
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Correct Answer: 82
Solution :
Given:
BED is written as 122 –
Find the square of the sum of the position values of the letters of the given word BED then add 1 to the resultant number to obtain the required code –
B→2; E→5; D→4
Now, find the square of the sum of the position values of the given word BED and then add 1 –
(2 + 5 + 4)
2
+ 1 = 11
2
+ 1 = 121 + 1 = 122
Thus, BED is coded as 122.
And, CAB is written as 37 –
C→3; A→1; B→2
Now, find the square of the sum of the position values of the given word CAB and then add 1 –
(3 + 1 + 2)
2
+ 1 = 6
2
+ 1 = 36 + 1 = 37
Thus, CAB is coded as 37.
Similarly, follow the same pattern for ADD –
A→1; D→4; D→4
Now, find the square of the sum of the position values of the given word ADD and then add 1 –
(1 + 4 + 4)
2
+ 1 = 9
2
+ 1 = 81 + 1 = 82
So, CAB is coded as 82. Hence, the fourth option is correct.
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