Question : Directions: Select the option in which the numbers do not share the same relationship as that shared by the given pairs of numbers.
(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.)
(4 : 75) and (2 : 19)
Option 1: (3 : 38)
Option 2: (7 : 354)
Option 3: (6 : 212)
Option 4: (5 : 136)
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Correct Answer: (6 : 212)
Solution :
Given:
(4 : 75) and (2 : 19)
Add 11 to the cube of the first number, to get the second number –
(4 : 75)→(4)
3
+ 11 = 64 + 11 = 75
(2 : 19)→(2)
3
= 8; 8 + 11 = 19
Let's check the given options –
First option:
(3 : 38)→(3)
3
+ 11 = 27 + 11 = 38
Second option:
(7 : 354)→(7)
3
+ 11 = 343 + 11 = 354
Third option:
(6 : 212)→(6)
3
+ 11 = 216 + 11 = 227
≠
212
Fourth option:
(5 : 136)→(5)
3
+ 11 = 125 + 11 = 136
So, only the third option is different from the other options. Hence, the third option is correct.
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