Select the number from among the given options that can replace the question mark (?) in the following series. 175 221 267 313 359 ?
405
Series Analysis: Finding the Missing Number
The question presents a sequence of numbers: 175, 221, 267, 313, 359, and asks to find the next number in the series, indicated by a question mark (?). To solve this, we need to identify the pattern governing the series.
Step-by-Step Calculation
Let's examine the difference between consecutive terms in the series:
- The difference between the second term (221) and the first term (175) is:
\(221 - 175 = 46\)
- The difference between the third term (267) and the second term (221) is:
\(267 - 221 = 46\)
- The difference between the fourth term (313) and the third term (267) is:
\(313 - 267 = 46\)
- The difference between the fifth term (359) and the fourth term (313) is:
\(359 - 313 = 46\)
Identifying the Pattern
From the calculations above, we observe a consistent difference of 46 between each consecutive pair of numbers in the series. This indicates that the series is an arithmetic progression with a common difference of 46.
Calculating the Next Term
To find the number that replaces the question mark (?), we need to add the common difference (46) to the last given term (359).
Calculation:
\(359 + 46 = 405\)
Therefore, the missing number in the series is 405.
Similar Questions
Which of the following options should come in place of the question mark (?) in the given series?
4 5 9 18 34 ?
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?
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Select the number from among the given options that can replace the question mark (?) in the following series.
184 242 275 333 366 424 ?
Which of the following options should come in place of the question mark (?) in the given series to make it logically complete?
24, 26, 30, 36, 44,?
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
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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 : 23 :: 476 : Y
What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged?
8 × 2 + 3 - 2 ÷ 6 = ?
Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order?
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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
