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Select the pair from among the given options that is analogous to the given pair.2 : 11 1 : 4 (NOTE: Operations should be performed on the whole numbe
Question

Select the pair from among the given options that is analogous to the given pair.
2 : 11
1 : 4
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)​​

A.

4 : 65

B.

3 : 27

C.

5 : 128

D.

6 : 217

Correct option is C

​​Given: 
2 : 11
1 : 4
Logic:  First number³ + 3 = Second number
2³ = 8 → 8 + 3 = 11 
1³ = 1 → 1 + 3 = 4 
Apply same to options:
(a) 4 : 65
4³ = 64 → 64 + 3 = 67 ≠ 65 
(b) 3 : 27
3³ = 27 → 27 + 3 = 30 ≠ 27
(c) 5 : 128
5³ = 125 → 125 + 3 = 128 
(d) 6 : 217
6³ = 216 → 216 + 3 ≠ 219
Thus, correct option is (c).

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