Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(12, 9, 4)
(18, 9, 6)
Option 1: (20, 12, 10)
Option 2: (14, 10, 7)
Option 3: (15, 12, 7)
Option 4: (12, 16, 3)
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Correct Answer: (12, 16, 3)
Solution :
Given:
(12, 9, 4); (18, 9, 6)
Divide the first number by the third number, and then find the square of the resultant number to obtain the second number in the given set of numbers –
⇒ (12, 9, 4)→(12 ÷ 4)
2
= 3
2
= 9
⇒ (18, 9, 6)→(18 ÷ 6)
2
= 3
2
= 9
Let's check the options –
First option:
(20, 12, 10)→(20 ÷ 10)
2
= 2
2
= 4 ≠ 12
Second option:
(14, 10, 7)→(14 ÷ 7)
2
= 2
2
= 4 ≠ 10
Third option:
(15, 12, 7)→(15 ÷ 7)
2
= (2.14)
2
= 4.5796 ≠ 12
Fourth option:
(12, 16, 3)→(12 ÷ 3)
2
= 4
2
= 16
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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