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
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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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