Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(50, 60, 2000); (20, 30, 200)
Option 1: (31, 10, 48)
Option 2: (21, 11, 11)
Option 3: (80, 90, 6500)
Option 4: (20, 10, 200)
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Correct Answer: (21, 11, 11)
Solution :
Given:
(50, 60, 2000), (20, 30, 200)
Subtract the first and second numbers by 10 and then multiply the resultant numbers to obtain the third number –
(50, 60, 2000)→(50 – 10) × (60 – 10) = 40 × 50 = 2000
(20, 30, 200)→(20 – 10) × (30 – 10) = 10 × 20 = 200
Let's check the options –
First option
: (31, 10, 48)→(31 – 10) × (10 – 10) = 21 × 0 = 0 ≠ 48
Second option:
(21, 11, 11)→(21 – 10) × (11 – 10) = 11 × 1 = 11
Third option:
(80, 90, 6500)→(80 – 10) × (90 – 10) = 70 × 80 = 5600 ≠ 6500
Fourth option:
(20, 10, 200)→(20 – 10) × (10 – 10) = 10 × 0 = 0 ≠ 200
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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