Matching LIST-I with LIST-II: Numerical Pattern Analysis

The question requires matching elements from LIST-I (numbers) with elements from LIST-II (codes). We need to identify the relationship or pattern connecting the numbers in LIST-I to their corresponding codes in LIST-II.

Lists Provided

Identifying the Numerical Pattern

Let's analyze the potential relationship between the numbers in LIST-I and the codes in LIST-II. A common pattern involves arithmetic operations, particularly powers.

Consider the formula: Code = (Number)$^3$ + 1.

Let's test this pattern with the given pairs, assuming the correct pairings are A-II, B-I, C-IV, D-III as per the provided answer.

• For A (Number = 4) and II (Code = 65): $4^3 + 1 = 64 + 1 = 65$. The pattern holds.
• For B (Number = 5) and I (Code = 126): $5^3 + 1 = 125 + 1 = 126$. The pattern holds.
• For C (Number = 7) and IV (Code = 344): $7^3 + 1 = 343 + 1 = 344$. The pattern holds.
• For D (Number = 11) and III (Code = 1332): $11^3 + 1 = 1331 + 1 = 1332$. The pattern holds.

The consistent pattern identified is that the code is obtained by cubing the number from LIST-I and adding 1.

Applying the Pattern to LIST-I Items

We apply the formula Code = Number$^3$ + 1 to each number in LIST-I:

• A. Number = 4: Calculation is $4^3 + 1 = 64 + 1 = 65$. The code '65' corresponds to II in LIST-II. Thus, A matches with II.
• B. Number = 5: Calculation is $5^3 + 1 = 125 + 1 = 126$. The code '126' corresponds to I in LIST-II. Thus, B matches with I.
• C. Number = 7: Calculation is $7^3 + 1 = 343 + 1 = 344$. The code '344' corresponds to IV in LIST-II. Thus, C matches with IV.
• D. Number = 11: Calculation is $11^3 + 1 = 1331 + 1 = 1332$. The code '1332' corresponds to III in LIST-II. Thus, D matches with III.

Final Matching and Correct Option

Based on the pattern Number$^3$ + 1, the correct matches are:

• A - II
• B - I
• C - IV
• D - III

This combination corresponds to Option 1: A-II, B-I, C-IV, D-III.