(NOTE – A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits)
14 - 84 - 86 - 82
15 - 90 - 92 - 88
Analyze Given Number Sets
The question asks to find the pattern governing the number sequences and identify which option follows the same pattern. The constraint is that two or three-digit numbers cannot be split into digits.
Set 1 Pattern Identification (14 - 84 - 86 - 82)
- 14 to 84: The operation is multiplication. \(14 \times 6 = 84\).
- 84 to 86: The operation is addition. \(84 + 2 = 86\).
- 86 to 82: The operation is subtraction. \(86 - 4 = 82\).
The pattern observed is: Multiply by 6, Add 2, Subtract 4.
Set 2 Pattern Confirmation (15 - 90 - 92 - 88)
- 15 to 90: \(15 \times 6 = 90\). Matches the first step.
- 90 to 92: \(90 + 2 = 92\). Matches the second step.
- 92 to 88: \(92 - 4 = 88\). Matches the third step.
The pattern (\(\times 6\), \(+ 2\), \(- 4\)) is consistent across both given sets.
Evaluate Options Using the Pattern
We will now test each option against the identified pattern (\(\times 6\), \(+ 2\), \(- 4\)).
Option 1 Check (34 - 70 - 79 - 78)
The first step requires \(34 \times 6\). \(34 \times 6 = 204\), which is not 70. This option does not follow the pattern.
Option 2 Check (22 - 90 - 100 - 99)
The first step requires \(22 \times 6\). \(22 \times 6 = 132\), which is not 90. This option does not follow the pattern.
Option 3 Check (37 - 298 - 299 - 287)
The first step requires \(37 \times 6\). \(37 \times 6 = 222\), which is not 298. This option does not follow the pattern.
Option 4 Check (8 - 48 - 50 - 46)
- 8 to 48: \(8 \times 6 = 48\). Matches the pattern.
- 48 to 50: \(48 + 2 = 50\). Matches the pattern.
- 50 to 46: \(50 - 4 = 46\). Matches the pattern.
This option successfully follows the sequence operations: \(\times 6\), \(+ 2\), \(- 4\).
Conclusion on Number Sequence Operations
Option 4 is the only sequence that adheres to the mathematical operations identified from the given sets.
Similar Questions
In the following series, one number is missing as shown by the question mark (?). Select the missing number form the given options.
8, 12, 16, 20, ?Select the number missing from the given series.
3, 12, __________, 21612- Select the number missing from the given number series.
4, 9, 20, 44, ? In the following series, one number is missing as shown by the question mark (?) select the missing number from the given options.
3, 8, 13, 18, ?Select the number missing from the given sequence.
1, 2, 6, ______, 120, 720Find the next two terms in the series.
J, L, O, S, ?, ?Find the next term in the series.
X, V, T, R, P, ?What will be next number in the series?
0, 1, 4, 27, 16, 125, 36, ?Choose the correct alternative which will complete the following series.
4, 8, 12, 24, 18, ?Choose the correct alternative which will complete the following series:
21, 55, 19, 45, 17, 35, ?
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
15, 45, 75, 105, ?
Identify the number that does NOT belong to the following series.
18, 27, 35, 45, 54
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 41, 50, 66, ?
दिए गए विकल्पों में से वह संख्या चुनिए जो निम्नलिखित श्रृंखला में प्रश्नवाचक चिन्ह (?) को प्रतिस्थापित कर सके।
20, 21, 25, 34,?, 75
Select the correct option that will fill in the blank and complete the series.
45, 49, 58, 74, .........
