Question

ABCD : WXYZ :: ? : STUV

• A. XYZW
• B. YZXW
• C. WXYZ
• D. WYXZ

Hint:

Look for positional groupings of letters before calculating complex shifts.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
This is a numerical sequence problem. Our objective is to discover the underlying mathematical rule and predict the subsequent number.


Step 2: Key Formula or Approach:
We should check the differences or ratios between adjacent terms to classify the sequence as arithmetic, geometric, or another specific pattern.


Step 3: Detailed Explanation:
Consider the provided sequence: \(2, 6, 18, 54\).
Let's find the ratio of each term to its predecessor:
\[ \frac{6}{2} = 3 \] \[ \frac{18}{6} = 3 \] \[ \frac{54}{18} = 3 \] This confirms the sequence is a geometric progression with a constant common ratio of 3.
To obtain the next number, we simply multiply the final known term (54) by 3:
\[ 54 \times 3 = 162 \]

Step 4: Final Answer:
The correct choice is (C).