(2, 7, 11)
(13,17,29)
(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.)
The given set (2, 7, 11) shows a pattern. Let's analyze it:
- 7 - 2 = 5
- 11 - 7 = 4
The differences between consecutive numbers are decreasing by 1. Let's check this pattern against the options:
- Option 1 (3, 9, 11): 9 - 3 = 6; 11 - 9 = 2. This doesn't follow the decreasing difference pattern.
- Option 2 (13, 17, 23): 17 - 13 = 4; 23 - 17 = 6. This doesn't follow a strictly decreasing difference, but a pattern of increasing differences.
- Option 3 (37, 41, 49): 41 - 37 = 4; 49 - 41 = 8. This doesn't follow the pattern.
- Option 4 (27, 31, 33): 31 - 27 = 4; 33 - 31 = 2. This doesn't follow the decreasing difference pattern.
While none of the options perfectly replicates the *decreasing* difference pattern of the original set, option 2 (13, 17, 23) exhibits an *increasing* difference pattern, which is a close analog. The key is to recognize the presence of a pattern, even if the options don't precisely match the original set's specific pattern. The question does not explicitly state the pattern must be strictly decreasing. Option 2 shows a consistent relationship, making it the closest match. Option 2 shows a different type of pattern (increasing difference) and can be considered a suitable analog given the constraints of the question. The essence is identifying a mathematical relationship between numbers in a set and finding a similar relationship in the options.
Similar Questions
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Conclusion I: Ethical behavior is not sufficient for profitability.
Conclusion II: Operational efficiency is required for trust.
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Important Questions from Statement and Conclusions
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
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No snakes are bills.
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Doing exercises in the morning is good for health.
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Health can be maintained by doing exercises only.
Conclusion 2:
Without doing exercises, people will become ill. - Read the given statements and conclusions carefully and select the conclusion(s) that logically follow(s) from the statements.
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Indian Education is lacking quality due to low funds. India is allocating additional funds to education sector.
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I. There would be improvement in quality of education in India.
II. Only funds can improve the education standards. - In the question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
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