Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair 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.)
3 : 83
7 : 2403
Option 1: 5 : 629
Option 2: 6 : 1200
Option 3: 2 : 18
Option 4: 4 : 250
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Correct Answer: 2 : 18
Solution :
Given:
3 : 83; 7 : 2403
Find the power 4 of the first number and then add 2 to obtain the second number in the given set of numbers –
⇒ 3 : 83→3
4
+ 2 = 81 + 2 = 83
⇒ 7 : 2403→7
4
+ 2 = 2401 + 2 = 2403
Let's check the options –
First option:
5 : 629→5
4
+ 2 = 625 + 2 = 627 ≠ 629
Second option:
6 : 1200→6
4
+ 2 = 1296 + 2 = 1298 ≠ 1200
Third option:
2 : 18→2
4
+ 2 = 16 + 2 = 18
Fourth option:
4 : 250→4
4
+ 2 = 256 + 2 = 258 ≠ 250
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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