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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


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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