Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(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.)
(9 : 32 : 7)
(11 : 96 : 5)
Option 1: (8 : 38 : 5)
Option 2: (6 : 27 : 3)
Option 3: (7 : 30 : 4)
Option 4: (12 : 110 : 6)
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Correct Answer: (6 : 27 : 3)
Solution :
Given:
(9 : 32 : 7); (11 : 96 : 5)
Here, (9 : 32 : 7)→(9)
2
– (7)
2
= 81 – 49 = 32
(11 : 96 : 5)→(11)
2
– (5)
2
= 121 – 25 = 96
Let's check the given options –
First option:
(8 : 38 : 5)→(8)
2
– (5)
2
= 64 – 25 = 39 ≠ 38
Second option:
(6 : 27 : 3)→(6)
2
– (3)
2
= 36 – 9 = 27
Third option:
(7 : 30 : 4)→(7)
2
– (4)
2
= 49 – 16 = 33 ≠ 30
Fourth option:
(12 : 110 : 6)→(12)
2
– (6)
2
= 144 – 36 = 108 ≠ 110
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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