Question

A series is given with two terms missing. Choose the correct alternatives from the given ones that will complete the series:
3, 5, 35, 10, 12, 35, ___, ___}

• A. 19, 35
• B. 17, 19
• C. 19, 24
• D. 22, 35

Hint:

Try grouping terms (pairs or triplets) when a pattern is not obvious in a straight sequence.

Answer 1

The Correct Option is A

Concept: This sequence is arranged in repeating blocks where the pattern is based on alternating number progression and a fixed recurring term. Step 1:Split into repeating structure.
The sequence can be viewed as: \[ (3, 5, 35), \quad (10, 12, 35), \quad (?, ?, 35) \]
Step 2:Observe progression of the first two positions.
First elements: \[ 3 \rightarrow 10 \rightarrow 19 \quad (+7, +9) \] Second elements: \[ 5 \rightarrow 12 \rightarrow 19 \quad (+7, +7) \] So the next pair becomes: \[ (19, 19) \]
Step 3:Note repeating constant term.
The third position in each group remains: \[ 35 \]
Step 4:Complete the series.
\[ 3, 5, 35, \; 10, 12, 35, \; 19, 19, 35 \]
Final Answer: (19, 19, 35)