Question : Directions: Four number pairs have been given, out of which three are alike in some manner and one is different. Select a different one.
(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.)
Option 1: 7 : 354
Option 2: 5 : 136
Option 3: 9 : 742
Option 4: 8 : 523
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Correct Answer: 9 : 742
Solution :
Let's check the options –
First option:
7 : 354; 7
3
+ 11 = 343 + 11 = 354
Second option:
5 : 136; 5
3
+ 11 = 125 + 11 = 136
Third option:
9 : 742; 9
3
+ 13 = 729 + 11 = 740 ≠ 742
Fourth option:
8 : 523; 8
3
+ 11 = 512 + 11 = 523
So, the third option is different from the other three as here the difference between the cube of the first number and the second number is 13 instead of 11. Hence, the third option is correct.
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