Question

Look carefully for the pattern, and then choose which pair of numbers comes next:
12 16 78 22 26 78 32 …

• A. 36 78
• B. 38 75
• C. 35 77
• D. 36 75
• E. 37 79

Hint:

In series with repeating large numbers (like 78), ignore them temporarily to find the mathematical logic of the smaller numbers.

Answer 1

The Correct Option is A

Concept: This is an alternating series where a constant number acts as a "buffer" between shifting patterns.
Step 1: Identify the repeating constant. The number 78 appears after every two numbers. Series: (12, 16), 78, (22, 26), 78, (32, ...).

Step 2: Analyze the increasing pattern.
• 1st pair: 12, 16 (Difference = +4)
• 2nd pair: 22, 26 (Difference = +4)
• Transition between pairs: $22 - 12 = 10$ and $26 - 16 = 10$.

Step 3: Calculate the next values.
• The 3rd pair starts with 32 ($22 + 10$).
• The next number in the pair is $32 + 4 = 36$.
• The buffer number 78 follows immediately after the pair. The next two numbers are 36 and 78.