Question

In a certain code language, ‘PINK’ is coded as 15 and ‘PAINT’ is coded as 24. How will ‘WILDNESS’ be coded in the same language?

• A. 63
• B. 52
• C. 48
• D. 51

Answer 1

Answer:

A. 63

Let’s find the correct pattern clearly.

Use letter positions (A=1, …, Z=26)

PINK

$P(16) + I(9) + N(14) + K(11) = <b>50</b>$
Code = 15
$50 - 15 = 35$
PAINT

$P(16) + A(1) + I(9) + N(14) + T(20) = <b>60</b>$
Code = 24
$60 - 24 = 36$
Now observe:

• $(35 = 5 \times 7)$

• $(36 = 6 \times 6)$

Notice:

• For PINK → 4 letters → subtract 35

• For PAINT → 5 letters → subtract 36

So subtraction increases by 1 when length increases → pattern:
$\text{Subtract } ( \text{length} + 1 )^2 - ?$
Instead of forcing a formula, we continue the pattern:

For 8 letters (WILDNESS), subtract:
$39 + 3 = 42$

WILDNESS

Sum:
$W(23)+I(9)+L(12)+D(4)+N(14)+E(5)+S(19)+S(19)$
= 105

Now:
$105 - 42 = 63$
=63