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CAT Exam  >  CAT Questions  >  97, 83, 73, 67, 59, _____a)47b)49c)52d)53Corr... Start Learning for Free
97, 83, 73, 67, 59, _____

  • a)
    47

  • b)
    49 

  • c)
    52

  • d)
    53

Correct answer is option 'D'. Can you explain this answer?
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97, 83, 73, 67, 59, _____a)47b)49c)52d)53Correct answer is option 'D'....
List of Prime Numbers from 1 to 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,...


The given numbers are alternate prime numbers in decreasing order, starting with 97.


Hence, the next number in the series is 47.
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Community Answer
97, 83, 73, 67, 59, _____a)47b)49c)52d)53Correct answer is option 'D'....
The given sequence of numbers is 97, 83, 73, 67, 59, _____.

To find the next number in the sequence, we need to observe the pattern followed by the given numbers.

Observations:
- The given numbers are all prime numbers.
- The difference between consecutive numbers is decreasing by 2.
- The first difference is 14, then 10, then 6, then 8.

Using the above observations, we can conclude that the next number in the sequence should be a prime number that is 2 less than the previous number.

Therefore, the missing number in the sequence is 47, which is 2 less than the last given number 59.

Hence, the correct answer is option D, 47.
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Directions: Study the given information and answer the question.A number arrangement machine, when given an input line of number rearranges their following a particular rule in each step. The following is the illustration of the input and steps of arrangement. (All the numbers are two-digit number)Input prepare 14 21 a new method 72 38 97 for studies 68Step I for a prepare 14 21 new method 72 38 97 studies 68Step II 21 14 for a prepare new method 72 38 97 studies 68Step III new method 21 14 for a prepare 72 38 97 studies 68Step IV 68 38 new method 21 14 for a prepare 72 97 studiesStep V studies prepare 68 38 new method 21 14 for a 72 97Step VI 97 72 studies prepare 68 38 new method 21 14 for a Step VI is the last step of above arrangement as the intended arrangement is obtained. As per the rules followed in the given steps, find out the appropriate steps for the given input.Input developing 44 markets 38 27 economic practice required 16 83 72 todayQ. Which of the following is step five of the given input?

Directions: Study the given information and answer the questions.A number arrangement machine, when given an input line of number rearranges their following a particular rule in each step. The following is the illustration of the input and steps of arrangement. (All the numbers are two-digit number)Input prepare 14 21 a new method 72 38 97 for studies 68Step I for a prepare 14 21 new method 72 38 97 studies 68Step II 21 14 for a prepare new method 72 38 97 studies 68Step III new method 21 14 for a prepare 72 38 97 studies 68Step IV 68 38 new method 21 14 for a prepare 72 97 studiesStep V studies prepare 68 38 new method 21 14 for a 72 97Step VI 97 72 studies prepare 68 38 new method 21 14 for a Step VI is the last step of above arrangement as the intended arrangement is obtained. As per the rules followed in the given steps, find out the appropriate steps for the given input.Input developing 44 markets 38 27 economic practice required 16 83 72 todayQ. Which step are the elements ’72 today required 44’ found in the same order?

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97, 83, 73, 67, 59, _____a)47b)49c)52d)53Correct answer is option 'D'. Can you explain this answer?
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