Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (4, 14, 828); (3, 10, 620) (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.)
Option 1: (1, 10, 100)
Option 2: (2, 50, 500)
Option 3: (5, 10, 980)
Option 4: (4, 32, 98)
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Correct Answer: (2, 50, 500)
Solution : Given: (4, 14, 828); (3, 10, 620)
The pattern is as follows – (4, 14, 828)→(4 × 200) + (14 × 2) = 800 + 28 = 828 (3, 10, 620)→(3 × 200) + (10 × 2) = 600 + 20 = 620 Let's check the options – First option: (1, 10, 100)→(1 × 200) + (10 × 2) = 200 + 20 = 220 ≠ 100 Second option: (2, 50, 500)→(2 × 200) + (50 × 2) = 400 + 100 = 500 Third option: (5, 10, 980)→(5 × 200) + (10 × 2) = 1000 + 20 = 1020 ≠ 980 Fourth option: (4, 32, 98)→(4 × 200) + (32 × 2) = 800 + 64 = 864 ≠ 98
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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