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.)
(166, 13, 4)
(2113, 46, 7)
Option 1: (97, 33, 11)
Option 2: (481, 22, 5)
Option 3: (131, 11, 3)
Option 4: (236, 36, 6)
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Correct Answer: (481, 22, 5)
Solution :
Given:
(166, 13, 4); (2113, 46, 7)
In the given set of numbers, subtract 3 from the square of the second number to obtain the first number and subtract 3 from the square of the third number to obtain the second number –
(166, 13, 4)→13
2
– 3 = 169 – 3 = 166; 4
2
– 3 = 16 – 3 = 13
(2113, 46, 7)→46
2
– 3 = 2116 – 3 = 2113; 7
2
– 3 = 49 – 3 = 46
Let's check the options –
First option:
(97, 33, 11)→33
2
– 3 = 1089 – 3 = 1086 ≠ 97; 11
2
– 3 = 121 – 3 = 118 ≠ 33
Second option:
(481, 22, 5)→22
2
– 3 = 484 – 3 = 481; 5
2
– 3 = 25 – 3 = 22
Third option:
(131, 11, 3)→11
2
– 3 = 121 – 3 = 118 ≠ 131; 3
2
– 3 = 9 – 3 = 6 ≠ 11
Fourth option:
(236, 36, 6)→36
2
– 3 = 1296 – 3 = 1293 ≠ 236; 6
2
– 3 = 36 – 3 = 33 ≠ 36
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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