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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.)
(83, 119, 168)
(76, 101, 137)

Option 1: (84, 100, 149)

Option 2: (78, 87, 103)

Option 3: (42, 46, 62)

Option 4: (36, 52, 88)


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: (78, 87, 103)


Solution : Given:
(83, 119, 168); (76, 101, 137)

The difference between the first and second numbers and the second and third numbers are the squares of consecutive natural numbers –
(83, 119, 168)→119 – 83 = 36 = 6 2 ; 168 – 119 = 49 = 7 2
(76, 101, 137)→101 – 76 = 25 = 5 2 ; 137 – 101 = 36 = 6 2

Let's check the options –
First option: (84, 100, 149)→100 – 84 = 16 = 4 2 ; 149 – 100 = 49 = 7 2
Second option: (78, 87, 103)→87 – 78 = 9 = 3 2 ; 103 – 87 = 16 = 4 2
Third option: (42, 46, 62)→46 – 42 = 4 = 2 2 ; 62 – 46 = 16 = 4 2
Fourth option: (36, 52, 88)→52 – 36 = 16 = 4 2 ; 88 – 52 = 36 = 6 2

So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.

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