Question 34

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

(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 /deleting /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)
12 : 225 :: 10 : 169 :: 14 : ?

Solution

12 : 225

Second number = $$(first\ number+3)^2$$

= $$(12+3)^2$$

= $$15^2$$

= 225

10 : 169

Second number = $$(first\ number+3)^2$$

= $$(10+3)^2$$

= $$13^2$$

= 169

14 : ?

Second number = $$(first\ number+3)^2$$

= $$(14+3)^2$$

= $$17^2$$

= 289

So '289' will come in place of the question mark.

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