Select the number from among the given options that can replace the question mark (?) in the following series. 9, 5, 6, 10.5, 23, ?
60
The pattern in the series is as follows: 5 = 9 * 0.5 + 0.5 6 = 5 * 1 + 1 10.5 = 6 * 1.5 + 1.5 23 = 10.5 * 2 + 2 Following the pattern, the next number will be: 23 * 2.5 + 2.5 = 57.5 + 2.5 = 60 However, 60 is not among the given options. Let's re-examine the pattern. Another possible pattern is: 9 + (-4) = 5 5 + 1 = 6 6 * 1.75 = 10.5 10.5 * 2.2 = 23.1 23.1 * 2.7 = 62.37 Again, this is not among the options. Let's try another pattern. Let's assume the pattern is based on multiplication and addition: 9 * 0.5 + 0.5 = 5 5 * 1.2 + 0 = 6 6 * 1.75 + 0 = 10.5 10.5 * 2.2 + 0 = 23.1 The next number would be 23.1 * 2.7 = 62.37 which is not in options. Let's consider another pattern: Each number is multiplied by a progressively increasing factor and then added to a progressively increasing constant. This is not fitting the data perfectly. Let's check another possibility: 9, 5, 6, 10.5, 23. The differences are -4, 1, 4.5, 12.5. The pattern in the differences is not obvious. Let's try ratios instead. 5/9 = 0.555... 6/5 = 1.2 10.5/6 = 1.75 23/10.5 = 2.19 The ratios aren't showing a clear pattern either. There seems to be a mistake in the question or options provided. Based on the given options, 3.60 appears to be the closest reasonable answer, although there is no clear, consistent mathematical pattern to support it.
Similar Questions
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Important Questions from Sequence & Series
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Select the number from among the given options that can replace the question mark (?) in the following series:
98, 50, 26, 14, ?, 5
Given below is a statement followed by two possible reasons numbered I and II. Read the statement carefully and decide which of the two explain(s) the event/observation/information given in the statement.
Statement:
In India, large cities have attracted migrant population from across rural parts of the country. According to 2011 census, in India’s six largest metros (Delhi, Mumbai, Chennai, Bengaluru, Kolkata and Hyderabad), approximately 48% of the residents were migrants.Reasons:
I) Migration happens due to availability of better career and economic prospects in cities.
II) Migration happens because people like travelling and exploring new cities.
