In a certain coding scheme, 'AC' is coded as 8 and 'PQ' as 66. What is the code of 'XZ'?

  1. 100
  2. 51
  3. 71
  4. 87

Answer (Detailed Solution Below)

Option 1 : 100

Detailed Solution

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The logic follows here:

Sum of position value of letters × 2 = coded letter.

Given:

'AC' is coded as 8

⇒ {A(1) + C(3)} × 2 = (1 + 3) × 2 = 4 × 2 = 8

And,

'PQ' as 33.

⇒ {P(16) + Q(17)} × 2 = (16 + 17) × 2 = 33 × 2 = 66

Similarly,

'XZ' will be coded as

⇒ {X(24) + Z(26)} × 2 = (24 + 26) × 2 = 50 × 2 = 100

Hence, the correct answer is "Option (1)".

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