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 : 92 : 8
16 : 92 : 6
Option 1: 9 : 122 : 14
Option 2: 13 : 60 : 5
Option 3: 15 : 184 : 12
Option 4: 8 : 109 : 14
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Correct Answer: 9 : 122 : 14
Solution :
Given :
12 : 92 : 8; 16 : 92 : 6
Subtract 4 from the product of the first and the third numbers to obtain the second number.
⇒ 12 : 92 : 8→(12 × 8) – 4 = 96 – 4 = 92
⇒ 16 : 92 : 6→(16 × 6) – 4 = 96 – 4 = 92
Let's check the options —
First option :
9 : 122 : 14→(9 × 14) – 4 = 126 – 4 = 122
Second option :
13 : 60 : 5→(13 × 5) – 4 = 65 – 4 = 61 ≠ 60
Third option :
15 : 184 : 12→(15 × 12) – 4 = 180 – 4 = 176 ≠ 184
Fourth option :
8 : 109 : 14→(8 × 14) – 4 = 112 – 4 = 108 ≠ 109
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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