Question:
Various terms of a series are given with one term missing as shown by (?). Choose the missing term.\[
19, 2, 38, 3, 114, 4, (?)
\]
Various terms of a series are given with one term missing as shown by (?). Choose the missing term.\[
19, 2, 38, 3, 114, 4, (?)
\]
Show Hint
When solving numerical series problems, pay attention to the alternating patterns in multiplication or addition operations. Always try to look for a repeating cycle.
Updated On: Mar 10, 2025
- 228
- 352
- 256
- 456
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The Correct Option is D
Solution and Explanation
Step 1: Observe the pattern in the series
The series alternates between a number and its corresponding multiplication pattern:
- 19 (starting point), then 2, then 38, then 3, then 114, then 4.
The pattern shows that the numbers alternate between a multiplier and a result of multiplication.
Step 2: Multiplication pattern breakdown
- 19 × 2 = 38
- 38 ÷ 2 = 19
The next step involves multiplying the next number in the series by 6:
- 3 × 6 = 18
Hence, 456 is the correct next value.
Step 3: Final Answer
The correct answer is (d) 456. Final Answer: The correct answer is (d) 456.
The series alternates between a number and its corresponding multiplication pattern:
- 19 (starting point), then 2, then 38, then 3, then 114, then 4.
The pattern shows that the numbers alternate between a multiplier and a result of multiplication.
Step 2: Multiplication pattern breakdown
- 19 × 2 = 38
- 38 ÷ 2 = 19
The next step involves multiplying the next number in the series by 6:
- 3 × 6 = 18
Hence, 456 is the correct next value.
Step 3: Final Answer
The correct answer is (d) 456. Final Answer: The correct answer is (d) 456.
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