Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
16 : 20 :: 256 : ? :: 49 : 56
Option 1: 266
Option 2: 264
Option 3: 278
Option 4: 272
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Correct Answer: 272
Solution :
Given:
16 : 20 :: 256 : ? :: 49 : 56
In the above-given pairs, find the square root of the first number. Then, multiply the resultant with its successor to get the second number.
Like, 16 : 20→$\sqrt16$ = 4; (4 + 1) × 4 = 5 × 4 = 20
And, 49 : 56→$\sqrt49$ = 7; (7 + 1) × 7 = 8 × 7 = 56
Similarly, follow the same pattern for 256→$\sqrt256$ = 16; (16 + 1) × 16 = 17 × 16 = 272
So, 272 is related to 256. Hence, the fourth option is correct.
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