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.)
(24, 3, 10); (144, 9, 18)
Option 1: (54, 9, 4)
Option 2: (156, 8, 19)
Option 3: (72, 8, 9)
Option 4: (133, 7, 21)
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Correct Answer: (133, 7, 21)
Solution :
Given:
(24, 3, 10); (144, 9, 18)
In the given sets, divide the first number by the second number and then add 2 to it to get the third number.
(24, 3, 10)→(24 ÷ 3) + 2 = 8 + 2 = 10
(144, 9, 18)→(144 ÷ 9) + 2 = 16 + 2 = 18
Let's check the options –
First option:
(54, 9, 4)→(54 ÷ 9) + 2 = 6 + 2 = 8 ≠ 4
Second option:
(156, 8, 19)→(156 ÷ 8) + 2 = 19.5 + 2 = 21.5 ≠ 19
Third option:
(72, 8, 9)→(72 ÷ 8) + 2 = 9 + 2 = 11 ≠ 9
Fourth option:
(133, 7, 21)→(133 ÷ 7) + 2 = 19 + 2 = 21
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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