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)
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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