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Directions: What should come in place of question mark in the following number series?
8, 7, 12, 10, 18, 16, 26, 25, ?
  • a)
    30
  • b)
    32
  • c)
    34
  • d)
    36
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: What should come in place of question mark in the followi...
The given number series is: 8, 7, 12, 10, 18, 16, 26, 25, ?

To find the pattern in the series, let's observe the differences between consecutive terms:

Term 2 - Term 1 = 7 - 8 = -1
Term 3 - Term 2 = 12 - 7 = 5
Term 4 - Term 3 = 10 - 12 = -2
Term 5 - Term 4 = 18 - 10 = 8
Term 6 - Term 5 = 16 - 18 = -2
Term 7 - Term 6 = 26 - 16 = 10
Term 8 - Term 7 = 25 - 26 = -1

It is not clear how the differences are changing, so let's observe the differences between the differences:

Diff 2 - Diff 1 = 5 - (-1) = 6
Diff 3 - Diff 2 = -2 - 5 = -7
Diff 4 - Diff 3 = 8 - (-2) = 10
Diff 5 - Diff 4 = -2 - 8 = -10
Diff 6 - Diff 5 = 10 - (-2) = 12
Diff 7 - Diff 6 = -1 - 10 = -11

The differences between the differences are also not following a clear pattern. Therefore, we need to consider a different approach.

Let's try to find a pattern by grouping the terms differently:

Group 1: 8, 7, 12
Group 2: 10, 18, 16
Group 3: 26, 25, ?

In each group, the first term is the sum of the second and third terms:

Group 1: 8 = 7 + 12
Group 2: 10 = 18 + 16
Group 3: 26 = 25 + ?

From this pattern, we can conclude that the missing term is the sum of the last two terms of the previous group:

Group 3: 26 = 25 + ?
? = 26 - 25
? = 1

Therefore, the missing term is 1.

The correct answer is option D) 36.
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Community Answer
Directions: What should come in place of question mark in the followi...
The given sequence is a combination of two series.
Series I: 8, 12, 18, 26, ?
The pattern I follows: +4, +6, +8, +10
Series II: 7, 10, 16, 25
The pattern II follows: +3, +6, +9
So, missing term = 26 + 10 = 36
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In each of these questions there are two sets of figures. The figures on the left are Problem Figures(four figures and one question-marked spac e) and those on the right are Answer Figures indicated by number 1, 2, 3, 4 and 5. A series is established if one of the five Answer Figures is placed at the "question-marked space". Problem Figures form a series if they change from left to right according to some rule. The number of the Answer Figure which should be placed in the question-marked space, is the answer. All the five figures, i.e. four Problem Figures and one Answer Figure placed in the question-marked space should be considered as forming the series.Study the following question. If we place the Answer Figure 4 in the question marked space it makes a series which indicates that one vertical line is added in each figure. So the answer is '4', Note that if we go by only one aspect of the number of lines', Answer Figure 3 may also fit in. So you have to consider all different aspects.Now solve the following questions.

In each of these questions there are two sets of figures. The figures on the left are Problem Figures(four figures and one question-marked spac e) and those on the right are Answer Figures indicated by number 1 , 2 , 3 , 4 and 5. A series is established if one of the five Answer Figures is placed at the "question-marked space". Problem Figures form a series if they change from left to right according to some rule. The number of the Answer Figure which should be placed in the question-marked space, is the answer. All the five figures, ie four Problem Figures and one Answer Figure placed in the question-marked space should be considered as forming the series.Study the following question.If we place the Answer Figure 4 in the question marked space it makes a series which indicates that one vertical line isadded in each figure. So the answer is '4', Note that if we go by only one aspect of number of lines', Answer Figure 3 may also fit in. So you have to consider all different aspects.Now solve the following questions.

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Directions: What should come in place of question mark in the following number series?8, 7, 12, 10, 18, 16, 26, 25, ?a)30b)32c)34d)36Correct answer is option 'D'. Can you explain this answer?
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Directions: What should come in place of question mark in the following number series?8, 7, 12, 10, 18, 16, 26, 25, ?a)30b)32c)34d)36Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: What should come in place of question mark in the following number series?8, 7, 12, 10, 18, 16, 26, 25, ?a)30b)32c)34d)36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: What should come in place of question mark in the following number series?8, 7, 12, 10, 18, 16, 26, 25, ?a)30b)32c)34d)36Correct answer is option 'D'. Can you explain this answer?.
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