In a certain code language,'TREE' is written as WWHJ, and 'LEAF' is written as OJDK. How will 'BARK' be written in that language?
EFUP
This problem involves decoding a simple code language by identifying the pattern used to transform letters from the original word into the coded word. We are given two examples:
We need to find the code for 'BARK' using the same pattern.
Let's look at the transformation of each letter in 'TREE' to its corresponding letter in 'WWHJ'. We can determine the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).
| Original Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| T | 20 | W | 23 | $23 - 20 = +3$ |
| R | 18 | W | 23 | $23 - 18 = +5$ |
| E | 5 | H | 8 | $8 - 5 = +3$ |
| E | 5 | J | 10 | $10 - 5 = +5$ |
From this analysis, the pattern for 'TREE' seems to be adding +3 to the first letter's position, +5 to the second, +3 to the third, and +5 to the fourth.
Let's verify if the same +3, +5, +3, +5 pattern holds for 'LEAF' and 'OJDK'.
| Original Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| L | 12 | O | 15 | $15 - 12 = +3$ |
| E | 5 | J | 10 | $10 - 5 = +5$ |
| A | 1 | D | 4 | $4 - 1 = +3$ |
| F | 6 | K | 11 | $11 - 6 = +5$ |
The pattern is confirmed: +3, +5, +3, +5 is consistently applied to the letter positions.
Now we apply the established pattern (+3, +5, +3, +5) to the word 'BARK' to find its coded form.
Combining the resulting letters, 'BARK' is coded as 'EFUP'.
The code language follows a simple additive pattern based on the position of letters in the alphabet. The increments are +3, +5, +3, and +5 for the first, second, third, and fourth letters, respectively.
Applying this to 'BARK':
Thus, 'BARK' is coded as 'EFUP'.
| Original Word | Pattern Applied | Coded Word | Explanation |
|---|---|---|---|
| TREE | +3, +5, +3, +5 | WWHJ | T(20)+3=W(23), R(18)+5=W(23), E(5)+3=H(8), E(5)+5=J(10) |
| LEAF | +3, +5, +3, +5 | OJDK | L(12)+3=O(15), E(5)+5=J(10), A(1)+3=D(4), F(6)+5=K(11) |
| BARK | +3, +5, +3, +5 | EFUP | B(2)+3=E(5), A(1)+5=F(6), R(18)+3=U(21), K(11)+5=P(16) |
Coding and decoding problems are common in reasoning sections of various exams. They test your ability to identify patterns and apply rules. Some common types include:
Solving these problems requires careful observation and logical deduction to find the hidden rule or pattern.
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