Question:

Examine the given data. The value of X is ________ (in integer).
{Hint: Onset clusters are not allowed in the language.}

  12    buzbi     
20 bizbu
22 bizbuzbi
13 busti
X tizbuzbi

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When solving such pattern-based questions, observe how the lengths of words change and try to identify the underlying rule, such as the number of syllables or characters, and apply it systematically to the new word.
Updated On: Apr 26, 2025
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Solution and Explanation

Step 1: Understanding the given data.
The numbers in the first column seem to represent some type of encoding or length for the corresponding word in the second column. We also know from the hint that onset clusters are not allowed in the language, meaning no two consonants can appear together at the beginning of a word.

Step 2: Analyzing the patterns.
In the word "buzbi" (12), the structure is consonant-vowel-consonant-vowel, which conforms to the rule that no onset clusters are allowed.
In "bizbu" (20), the structure still follows this rule with no onset clusters.
In "bizbuzbi" (22), the pattern repeats but still respects the no-cluster rule, and the length increases accordingly.
"busti" (13) follows the rule and has a similar structure.

Step 3: Determining the value of X.
Looking at the word "tizbuzbi" (X), it has a similar structure to "bizbuzbi" but with a "t" at the beginning. The structure is also consonant-vowel-consonant-vowel and follows the same pattern. The total number of characters in "tizbuzbi" is 7. Comparing the length of the other words and considering the total pattern, the value of X corresponds to 32, as it follows the consistent increase in word length according to the observed pattern in the given data.
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