Question 37

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

11 : 169 :: 13 : 225 :: ? : 361

Solution

11 : 169

Second number = $$\left(first\ number+2\right)^2$$

= $$\left(11+2\right)^2$$

= $$(13)^2$$

= 169

13 : 225

Second number = $$\left(first\ number+2\right)^2$$

= $$\left(13+2\right)^2$$

= $$(15)^2$$

= 225

? : 361

Second number = $$\left(first\ number+2\right)^2$$

$$361 = \left(?+2\right)^2$$

$$19^2=\left(?+2\right)^2$$

(?+2) = 19
? = 19-2 = 17

So here '17' will come in place of the question mark.

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