Step-by-step Solution:

If Z = 52 and ACT = 48, then BAT will be equal to?

Step 1: Understand the pattern for Z and ACT

Letters are assigned numerical values where \( A = 1, B = 2, \ldots, Z = 26 \).
We are given:

• \( Z = 52 \)
• \( ACT = 48 \)

Since \( Z = 26 \), doubling gives \( 26 \times 2 = 52 \).
Let us verify with \( ACT \):

• \( A = 1, C = 3, T = 20 \)
• Sum = \( 1 + 3 + 20 = 24 \)
• Double = \( 24 \times 2 = 48 \), which matches

Therefore, the pattern is:
Sum of alphabetical values \(\times 2\)

Step 2: Calculate the value for BAT

• \( B = 2, A = 1, T = 20 \)
• Sum = \( 2 + 1 + 20 = 23 \)
• Double = \( 23 \times 2 = 46 \)

Answer:

The value of BAT will be 46.