Question : Directions: 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 and3 and then performing mathematical operations on 1 and 3 is not allowed)
12 : 225 :: 10 : 169 :: 14 : ?
Option 1: 289
Option 2: 441
Option 3: 361
Option 4: 529
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Correct Answer: 289
Solution :
Given:
12 : 225 :: 10 : 169 :: 14 : ?
Add 3 in the first number and square the resultant to get the second number –
Like in, 12 : 225 → (12 + 3)
2
= 225
And in, 10 : 169 → (10 + 3)
2
= 169
Similarly, follow the same pattern for 14 : ? → (14 + 3)
2
= 289
So, the required missing number is 289. Hence, the first option is correct.
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