(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
Select the number from among the given options that can replace the question mark (?) in the following series.
175 221 267 313 359 ?
In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of ::?
(Note: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 140.4 :: 38 : Y
Which of the following options should come in place of the question mark (?) in the given series?
75 15 24 34 45?Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) # 1 * £ 5 8 $ 4 2 & % 6 7 & @ 3 2 9 (Right)
How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by a symbol?
- What should come in place of the question mark (?) in the given series? 67 106 88 127 109 148 ?
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, ?- In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 676 :: 17 : Y - Which of the following options should come in place of the question mark (?) in the given series to make it logically complete?
125, 128, 133, 140, 149,? - Select the option that is related to the third number in the same way as the second number is related to the first number.
400: 20:: 100: ?
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
