40, 48, 58, 66, 76, ?
Series Analysis: Finding the Missing Number
The question asks us to find the missing number in the given numerical series: 40, 48, 58, 66, 76, ?
To solve this, we need to identify the pattern governing the sequence. Let's examine the difference between consecutive terms:
- Difference between the 1st and 2nd term: $48 - 40 = 8$
- Difference between the 2nd and 3rd term: $58 - 48 = 10$
- Difference between the 3rd and 4th term: $66 - 58 = 8$
- Difference between the 4th and 5th term: $76 - 66 = 10$
We can observe a repeating pattern in the differences: +8, +10, +8, +10.
Applying the Pattern to Find the Missing Term
Following this alternating pattern of adding 8 and then adding 10, the next step is to add 8 to the last known term (76).
Calculation:
- Last term = 76
- The required difference is +8
- Missing term = $76 + 8 = 84$
Therefore, the number that should come in place of the question mark (?) is 84.
Important Questions from Number Series
- 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,? - What should come in place of the question mark (?) in the given series?
801 800 792 765 701 ? - What should come in place of the question mark (?) in the given series?
101 110 121 134 149 ? In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down
the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
37, 62
52, 77
