Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)
(29, 31, 37)
(11, 13, 17)
Option 1: (17, 19, 29)
Option 2: (37, 41, 47)
Option 3: (19, 21, 23)
Option 4: (19, 23, 29)
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Correct Answer: (19, 23, 29)
Solution :
Given:
(29, 31, 37); (11, 13, 17)
Here, the given set of numbers are consecutive prime numbers.
Let's check the options –
First option:
(17, 19, 29)→After 19, the next prime number is 23. Therefore, this set does not consist of consecutive prime numbers.
Second option:
(37, 41, 47)→After 41, the next prime number is 43. Therefore, this set does not consist of consecutive prime numbers.
Third option:
(19, 21, 23)→21 is not a prime number. Therefore, this set does not consist of consecutive prime numbers.
Fourth option:
(19, 23, 29)→The given set of numbers consists of consecutive prime numbers.
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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