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.)
(169, 1681, 529)
(144, 576, 1024)
Option 1: (196, 289, 224)
Option 2: (144, 121, 999)
Option 3: (624, 785, 256)
Option 4: (625, 784, 256)
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Correct Answer: (625, 784, 256)
Solution :
Given:
(169, 1681, 529); (144, 576, 1024)
Here, the numbers of the given sets are the perfect squares.
(169, 1681, 529)→$\sqrt169$ = 13; $\sqrt1681$ = 41; $\sqrt529$ = 23
(144, 576, 1024)→$\sqrt144$ = 12; $\sqrt576$ = 24; $\sqrt1024$ = 32
Let's check the options –
First option:
(196, 289, 224)→$\sqrt196$ = 14; $\sqrt289$ = 17; 224 is not a square of any number.
Second option:
(144, 121, 999)→$\sqrt144$ = 12; $\sqrt121$ = 11; 999 is not a square of any number.
Third option:
(624, 785, 256)→624 and 785 are not a square of any number. $\sqrt256$ = 16
Fourth option:
(625, 784, 256)→$\sqrt625$ = 25; $\sqrt784$ = 28; $\sqrt256$ = 16
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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