Question : Directions: Select the option 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.
11 : 132 :: ? : 342 :: 22 : 506
Option 1: 17
Option 2: 19
Option 3: 18
Option 4: 20
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Correct Answer: 18
Solution :
Given:
11 : 132 :: ? : 342 :: 22 : 506
Add one to the first number and multiply the resultant by the first number –
Like, 11 : 132→11 × (11 + 1) = 132
And, 22 : 506→22 × (22 + 1) = 506
Similarly, follow the same pattern for ? : 342→
⇒ a × (a + 1) = 342
⇒ a
2
+ a – 342
Solving for a, we get,
a = 18, a = –19
Therefore, 18 is the required missing number. Hence, the third option is correct.
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