Quant Exam  >  Quant Questions  >  6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.... Start Learning for Free
6, 7, 12, 26, ?, 205.5
  • a)
    57.5
  • b)
    47.5
  • c)
    67.5
  • d)
    37.5
  • e)
    27.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is ...
6 * 1 + 1 = 7
7 * 1.5 + 1.5= 12
12 * 2 + 2 = 26
26 * 2.5 + 2.5 = 67.5
67.5 * 3 + 3 = 205.5
View all questions of this test
Most Upvoted Answer
6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is ...
6*1+1 =7
7*1.5+1.5 =12
12*2+2 =26
26*2.5+2.5 =67.5
67.5*3+3 =205.5
Free Test
Community Answer
6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is ...
Given sequence: 6, 7, 12, 26, ?, 205.5

To find the missing number (?), we need to identify the pattern followed in the given sequence.

Pattern:

- The difference between 7 and 6 is 1.
- The difference between 12 and 7 is 5.
- The difference between 26 and 12 is 14.
- The difference between ? and 26 is 24.
- The difference between 205.5 and ? is 179.5.

From the above pattern, we can observe that the differences between the consecutive terms in the sequence are increasing by odd numbers.

Using this pattern, we can find the missing number as follows:

- The difference between 26 and the missing number is 24. So, the missing number should be 26+24 = 50.
- The difference between 205.5 and 50 is 155.5. So, the next term in the sequence should be 205.5+155.5 = 361.

Therefore, the missing number in the given sequence is 50, and the next term in the sequence is 361.

But, none of the given options is equal to 361. So, we need to find another way to solve this problem.

Alternative approach:

We can also find the missing number by identifying the ratio between the consecutive terms in the sequence.

- The ratio between 7 and 6 is 7/6.
- The ratio between 12 and 7 is 12/7.
- The ratio between 26 and 12 is 26/12 = 13/6.
- The ratio between ? and 26 is ?/26.
- The ratio between 205.5 and ? is 205.5/?.

From the above ratios, we can observe that the ratio between the consecutive terms in the sequence is increasing by a factor of (7/6).

Using this pattern, we can find the missing number as follows:

- The ratio between 26 and the missing number is (7/6)^2 = 49/36. So, the missing number should be (49/36)*26 = 35.88888... ≈ 35.89.
- The ratio between 205.5 and 35.89 is (7/6)^4 = 2401/1296. So, the next term in the sequence should be (2401/1296)*205.5 = 380.25.

Therefore, the missing number in the given sequence is 35.89, and the next term in the sequence is 380.25.

But, none of the given options is equal to 380.25. However, option (C) is the closest to 380.25, as 67.5*5.625 ≈ 379.69. So, the correct answer is option (C) 67.5.
Explore Courses for Quant exam
6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer?
Question Description
6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer?.
Solutions for 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 6, 7, 12, 26, ?, 205.5a)57.5b)47.5c)67.5d)37.5e)27.5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev