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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.)
(4, 1024, 64)
(225, 81, 135)

Option 1: (30, 676, 78)

Option 2: (27, 125, 15)

Option 3: (49, 841, 203)

Option 4: (64, 256, 512)


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: (49, 841, 203)


Solution : Given:
(4, 1024, 64); (225, 81, 135)

In the above-given set of numbers, the product of the square root of the first and second numbers equals the third number.
(4, 1024, 64)→(2)2 = 4; (32)2 = 1024; 2 × 32 = 64
(225, 81, 135)→(15)2 = 225; (9)2 = 81; 15 × 9 = 135
Let's check the given options –
First option: (30, 676, 78)→30 is not a square of any number. Therefore, this option is incorrect.
Second option: (27, 125, 15)→27 is not a square of any number. Therefore, this option is incorrect.
Third option: (49, 841, 203)→(7)2 = 49; (29)2 = 841; 7 × 29 = 203
Fourth option: (64, 256, 512)→(8)2 = 64; (16)2 = 256; 8 × 16 = 128 
≠ 512

Hence, the third option is correct.

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