CAT Exam  >  CAT Questions  >  9, 5, 9, 25, 95, 414a)5b)95c)9d)25e)414Correc... Start Learning for Free
9, 5, 9,  25, 95, 414
  • a)
    5                                 
  • b)
    95                            
  • c)
    9                                 
  • d)
    25
  • e)
    414
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
9, 5, 9, 25, 95, 414a)5b)95c)9d)25e)414Correct answer is option 'B'. C...
The solution is :
9 * .5 + .5 = 5
5 * 1.5 + 1.5 = 9
9 * 2.5 + 2.5 = 25
25 * 3.5 + 3.5 = 91  ≠ 95         
91 * 4.5 + 4.5 = 414
Therefore wrong no. is 95 
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Most Upvoted Answer
9, 5, 9, 25, 95, 414a)5b)95c)9d)25e)414Correct answer is option 'B'. C...
(9+1) *0.5= 5
(5+1) *1.5= 9
(9+1) *2.5=25
(25+1) *3.5=91 not 95.
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Community Answer
9, 5, 9, 25, 95, 414a)5b)95c)9d)25e)414Correct answer is option 'B'. C...
To find the pattern in the given sequence, let's analyze the numbers:

9, 5, 9, 25, 95, 414

Pattern Analysis:
- The sequence does not appear to follow a simple arithmetic or geometric progression.
- The numbers are not in a strictly increasing or decreasing order.
- The numbers do not follow any recognizable pattern in terms of their digits or prime factors.

Observations:
- The first and third numbers are the same (9).
- The second number is smaller than the first (5).
- The fourth number is larger than the third (25).
- The fifth number is significantly larger than the fourth (95).
- The sixth number is significantly larger than the fifth (414).

Possible Pattern:
Based on the observations, we can infer that the pattern might involve alternating repetitions of the same number (9) followed by an increasing sequence of numbers.

Explanation:
- The first number is 9, followed by the repetition of 9.
- The second number is smaller than the first, so it breaks the repetition and starts a new sequence.
- The third number is again 9, followed by the repetition of 9.
- The fourth number is larger than the third, so it breaks the repetition and starts a new sequence.
- The fifth number is significantly larger than the fourth, so it breaks the repetition and starts a new sequence.
- The sixth number is significantly larger than the fifth, so it breaks the repetition and starts a new sequence.

Conclusion:
Based on the observations and possible pattern, the next number in the sequence would be larger than the previous one. Among the given options, the number 95 is the only one that fits this pattern. Therefore, the correct answer is option 'B' (95).
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