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.
12 : 64 :: ? : 116 :: 32 : 144
Option 1: 25
Option 2: 46
Option 3: 35
Option 4: 14
Correct Answer: 25
Solution :
Given:
12 : 64 :: ? : 116 :: 32 : 144
Multiply the given number by 4 and then add 16 to the resultant number to obtain the missing term –
Here, 12 : 64→(12 × 4) + 16 = 48 + 16 = 64
And, 32 : 144→(32 × 4) + 16 = 128 + 16 = 144
Similarly, follow the same pattern for 116 –
⇒ (a × 4) + 16 = 116
⇒ (a × 4) = 116 – 16
⇒ a × 4 = 100
⇒ a = 25
So, 25 is the missing number in the given set of numbers. Hence, the first option is correct.
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