CAT Exam > CAT Questions > What should come in place of the question mar...
Start Learning for Free
What should come in place of the question mark (?) in the following sequence?
324, 270, ?, 187.5, 156.25
324, 270, ?, 187.5, 156.25
- a)240
- b)254
- c)225
- d)195
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What should come in place of the question mark (?) in the following se...
Pattern:
To find the missing number in the sequence, we need to identify the pattern followed by the given numbers.
Explanation:
The given sequence is: 324, 270, ?, 187.5, 156.25
To find the pattern, let's analyze the difference between consecutive terms:
- The difference between 324 and 270 is 54.
- The difference between 270 and the missing term is x.
- The difference between the missing term and 187.5 is 156.25 - 187.5 = -31.25.
Observations:
- The difference between the first two terms is positive.
- The difference between the last two terms is negative.
Pattern Analysis:
Based on the above observations, we can conclude that the differences between consecutive terms alternate between positive and negative values.
Calculating the Missing Term:
To find the missing term, we need to determine the value of x, which is the difference between the second and third terms.
- The difference between the first two terms is 54.
- The difference between the missing term and 270 is -54 (negative value because it is the alternate difference).
- The difference between the missing term and 187.5 is -31.25.
Hence, we can set up the equation:
(270 - x) - 31.25 = 187.5
Simplifying the equation:
270 - x - 31.25 = 187.5
238.75 - x = 187.5
-x = 187.5 - 238.75
-x = -51.25
x = 51.25
Calculating the Missing Term:
Now that we have determined the value of x, we can find the missing term by subtracting x from 270.
Missing term = 270 - x
Missing term = 270 - 51.25
Missing term = 218.75
Conclusion:
The missing term in the given sequence is 218.75. Therefore, the correct answer is option C) 225.
To find the missing number in the sequence, we need to identify the pattern followed by the given numbers.
Explanation:
The given sequence is: 324, 270, ?, 187.5, 156.25
To find the pattern, let's analyze the difference between consecutive terms:
- The difference between 324 and 270 is 54.
- The difference between 270 and the missing term is x.
- The difference between the missing term and 187.5 is 156.25 - 187.5 = -31.25.
Observations:
- The difference between the first two terms is positive.
- The difference between the last two terms is negative.
Pattern Analysis:
Based on the above observations, we can conclude that the differences between consecutive terms alternate between positive and negative values.
Calculating the Missing Term:
To find the missing term, we need to determine the value of x, which is the difference between the second and third terms.
- The difference between the first two terms is 54.
- The difference between the missing term and 270 is -54 (negative value because it is the alternate difference).
- The difference between the missing term and 187.5 is -31.25.
Hence, we can set up the equation:
(270 - x) - 31.25 = 187.5
Simplifying the equation:
270 - x - 31.25 = 187.5
238.75 - x = 187.5
-x = 187.5 - 238.75
-x = -51.25
x = 51.25
Calculating the Missing Term:
Now that we have determined the value of x, we can find the missing term by subtracting x from 270.
Missing term = 270 - x
Missing term = 270 - 51.25
Missing term = 218.75
Conclusion:
The missing term in the given sequence is 218.75. Therefore, the correct answer is option C) 225.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Question Description
What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer?.
What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer?.
Solutions for What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer?, a detailed solution for What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What should come in place of the question mark (?) in the following sequence?324, 270, ?, 187.5, 156.25a)240b)254c)225d)195Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup