There is a certain relation between two given numbers on one side of : : and one number is given on another side of : : . A number is to be found from the given options having the same relation with this number as the given pair.
210 : 380 : : 182 : ?

210=14*15=14*(14+1)

380=19*20=19*(19+1)

And 19=14+5

Now, 182=13*14

So, the number which holds the same relation with 182 as 210 and 380 holds is = (13+5)*(13+5+1) = 18*19 = 342

So, option D is the correct answer.

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There is a certain relation between two given numbers on one side of : : and one number is given on another side of : : . A number is to be found from the given options having the same relation with this number as the given pair.210 : 380 : : 182 : ?