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.)
(48, 16, 192)
(22, 62, 341)
Option 1: (32, 24, 222)
Option 2: (74, 38, 713)
Option 3: (84, 78, 1638)
Option 4: (92, 46, 1068)
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Correct Answer: (84, 78, 1638)
Solution :
Given:
(48, 16, 192)
(22, 62, 341)
Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192
(22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341
Now, let's check the options –
First option:
(32, 24, 222)→(32 ÷ 2) × (24 ÷ 2) = 16 × 12 = 192 ≠ 222
Second option:
(74, 38, 713)→(74 ÷ 2) × (38 ÷ 2) = 37 × 19 =703 ≠ 713
Third option:
(84, 78, 1638)→(84 ÷ 2) × (78 ÷ 2) = 42 × 39 = 1638
Fourth option:
(92, 46, 1068)→(92 ÷ 2) × (46 ÷ 2) = 46 × 23 = 1058 ≠ 1068
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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