Question

The numbers in these series are arranged in a triangle which has a logic as shown.Find the missing numbers shown as (?) from the choices given below:

• A. {16, 32, 64}
• B. {8, 1024, 32}
• C. {24, 1024, 64}
• D. {16, 320, 64}

Answer 1

The Correct Option is B

The given triangle follows a specific pattern. Let's analyze each row to determine the missing values.

Let's start by observing the constant relationship between the numbers along the rows.

The numbers complement each other in a binary power pattern.

Row Calculation: Let's calculate each row step-by-step:

Row	Numbers	Pattern Check
1	2, 4, 8	Each number is 2 times the previous.
2	16, ?, 128	Each number should be 2 steps, missing is 32.
3	256, ?, 4096	Each number should be 4 times the previous, missing is 1024.

Following the multiplication pattern of 2 and 4:

1. Calculate & verify missing numbers for consistency.
2. Row 1 verify: 2, 4, 8 validates
3. Row 2 calculation: 16 to 32 to 128; pattern holds.
4. Row 3 calculation: 256 to 1024 to 4096; doubling step validates.

Consistency checked for all possible options:

1. {16, 32, 64} - 64 is incorrect.
2. {8, 1024, 32} - Correct pattern match.
3. {24, 1024, 64} - 24 and 64 break pattern.
4. {16, 320, 64} - 320 and 64 break pattern.

Conclusion: The correct set of missing numbers is {8, 1024, 32}.