Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
3 : 22; 6 : 211
(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: 8 : 509
Option 2: 5 : 113
Option 3: 7 : 330
Option 4: 4 : 59
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Correct Answer: 4 : 59
Solution :
Given:
3 : 22; 6 : 211
Find the cube of the first number, then subtract 5, to obtain the second number of the given pairs –
(3 : 22)→3
3
– 5 = 27 – 5 = 22
(6 : 211)→6
3
– 5 = 216 – 5 = 211
Let's check the options –
First option:
8 : 509; 8
3
– 5 = 512 – 5 = 507 ≠ 509
Second option:
5 : 113; 5
3
– 5 = 125 – 5 = 120 ≠ 113
Third option:
7 : 330; 7
3
– 5 = 343 – 5 = 338 ≠ 330
Fourth option:
4 : 59; 4
3
– 5 = 64 – 5 = 59
So, only the fourth option follows the same pattern as followed by the given pairs. Hence, the fourth option is correct.
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