Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 14 : 400 :: 37 : ? :: 42 : 2304
Option 1: 1333
Option 2: 1764
Option 3: 1849
Option 4: 1521
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Correct Answer: 1849
Solution : Given: 14 : 400 :: 37 : ? :: 42 : 2304
Subtract 6 from the square root of the second term to obtain the first term. Like, 14 : 400→$\sqrt400$ = 20; 20 – 6 = 14 And, 42 : 2304→$\sqrt2304$ = 48; 48 – 6 = 42 Similarly, follow the same pattern for 37 : ?→ ⇒ $\sqrt?$ – 6 = 37 ⇒ $\sqrt?$ = 37 + 6 ⇒ $\sqrt?$ = 43 ⇒ ? = 43 2 ⇒ ? = 1849
So, 1849 is related to 37. Hence, the third option is correct.
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