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Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
8 : 48 :: ? : 143 :: 15 : 195

Option 1: 13

Option 2: 17

Option 3: 19

Option 4: 11


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 13


Solution : Given:
8 : 48 :: ? : 143 :: 15 : 195

Like, 8 : 48→(8 – 1) 2 – 1 = (7) 2 – 1 = 49 – 1 = 48
And, 15 : 195→(15 – 1) 2 – 1 = (14) 2 – 1 = 196 – 1 = 195
Similarly, follow the same pattern for 143→(Let the missing number be a.)
⇒ (a – 1) 2 – 1 = 143
⇒ (a – 1) 2 = 143 + 1
⇒ (a – 1) 2 = 144
⇒ a – 1 = $\sqrt144$
⇒ a – 1 = 12
⇒ a = 12 + 1
⇒ a = 13

So, 13 is related to 143. Hence, the first option is correct.

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