Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(5, 4, 405)
(7, 3, 500)
Option 1: (4, 1, 125)
Option 2: (3, 2, 145)
Option 3: (4, 5, 850)
Option 4: (5, 8, 789)
Correct Answer: (4, 1, 125)
Solution :
Given:
(5, 4, 405); (7, 3, 500)
Like, (5, 4, 405)→(5 + 4)
2
× 5 = (9)
2
× 5 = 81 × 5 = 405
(7, 3, 500)→ (7 + 3)
2
× 5 = (10)
2
× 5 = 100 × 5 = 500
Let's check the options –
First option:
(4, 1, 125)→(4 + 1)
2
× 5 = (5)
2
× 5 = 25 × 5 = 125
Second option:
(3, 2, 145)→(3 + 2)
2
× 5 = (5)
2
× 5 = 25 × 5 = 125 ≠ 145
Third option:
(4, 5, 850)→(5 + 4)
2
× 5 = (9)
2
× 5 = 81 × 5 = 405 ≠ 850
Third option:
(5, 8, 789)→(5 + 8)
2
× 5 = (13)
2
× 5 = 169 × 5 = 845 ≠ 789
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
