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.)
(393, 342, 564)
(287, 82, 328)
Option 1: (485, 136, 548)
Option 2: (567, 162, 638)
Option 3: (237, 294, 384)
Option 4: (329, 144, 406)
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Correct Answer: (237, 294, 384)
Solution :
Given:
(393, 342, 564); (287, 82, 328)
The first term is added with the half of the second term, to get the third term –
⇒ (393, 342, 564)→(393) + (342 ÷ 2) = 393 + 171 = 564
⇒ (287, 82, 328)→(287) + (82 ÷ 2) = 287 + 41 = 328
Let's check each option –
First option:
(485, 136, 548)→(485) + (136 ÷ 2) = 485 + 68 = 553 ≠ 548
Second option:
(567, 162, 638)→(567) + (162 ÷ 2) = 567 + 81 = 648 ≠ 638
Third option:
(237, 294, 384)→(237) + (294 ÷ 2) = 237 + 147 = 384
Fourth option:
(329, 144, 406)→(329) + (144 ÷ 2) = 329 + 72 = 401 ≠ 406
So, only the third option follows the same relation as the given set of numbers. Hence, the third option is correct.
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