Select the option that is related to the fifth number cluster in the same way…
2024
Select the option that is related to the fifth number cluster in the same way as the second number cluster is related to the first number cluster and fourth number cluster is related to third number cluster. 6 : 180 :: 8 : 448 :: 10 : ?
- A.
900
- B.
990
- C.
800
- D.
999
Attempted by 30 students.
Show answer & explanation
Correct answer: A
1. Analyze the relationship in the first cluster 6 : 180. Let the first number be $n$. The pattern is $n^3 - n^2$. Here, $6^3 - 6^2 = 216 - 36 = 180$. 2. Verify this logic with the second cluster 8 : 448. Here, $8^3 - 8^2 = 512 - 64 = 448$. The pattern holds true. 3. Apply the same logic to the third cluster to find the missing number: $10^3 - 10^2 = 1000 - 100 = 900$. Final Answer: Option A