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.)
(36, 24, 65)
(40, 54, 19)
Option 1: (10, 21, 321)
Option 2: (20, 18, 16)
Option 3: (13, 8, 98)
Option 4: (30, 14, 56)
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Correct Answer: (20, 18, 16)
Solution :
Given:
(36, 24, 65); (40, 54, 19)
The pattern followed here is –
(36, 24, 65) = {(36 ÷ 4) + (24 ÷ 6)} × {(36 ÷ 4) – (24 ÷ 6)}
= {9 + 4} × {9 – 4}
= 13 × 5
= 65
(40, 54, 19) = {(40 ÷ 4) + (54 ÷ 6)} × {(40 ÷ 4) – (54 ÷ 6)}
= {10 + 9} × {10 – 9}
= 19 × 1
= 19
Let's check the options –
First Option:
(10, 21, 321) = {(10 ÷ 4) + (21 ÷ 6)} × {(10 ÷ 4) – (21 ÷ 6)}
= {2.5 + 3.5} × {2.5 – 3.5}
= 6 × –1
= –6
≠ 321
Second Option:
(20, 18, 16) = {(20 ÷ 4) + (18 ÷ 6)} × {(20 ÷ 4) – (18 ÷ 6)}
= {5 + 3} × {5 – 3}
= 8 × 2
= 16
Third Option:
(13, 8, 98) = {(13 ÷ 4) + (8 ÷ 6)} × {(13 ÷ 4) – (8 ÷ 6)}
= {3.25 + 1.33} × {3.25 – 1.33}
= 4.58 × 1.92
= 8.7936
≠ 98
Fourth Option:
(30, 14, 56) = {(30 ÷ 4) + (14 ÷ 6)} × {(30 ÷ 4) – (14 ÷ 6)}
= {7.5 + 2.33} × {7.5 – 2.33}
= 9.83 × 5.17
= 50.8211
≠ 56
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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