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 : 96 :: ? : 54 :: 12 : 216
Option 1: 8
Option 2: 6
Option 3: 10
Option 4: 4
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Correct Answer: 6
Solution : Given: 8 : 96 :: ? : 54 :: 12 : 216
In the above-given pairs, divide the first number by 2. Multiply 3 by the first number and then multiply both the resultants. Like, 8 : 96→(8 ÷ 2) × 8 × 3 = 4 × 8 × 3 = 96 And, 12 : 216→(12 ÷ 2) × 12 × 3 = 6 × 12 × 3 = 216 Similarly, follow the same pattern for (? : 54)→(Let the missing number be a.) ⇒ (a ÷ 2) × a × 3 = 54 ⇒ (a ÷ 2) × a = 54 ÷ 3 ⇒ (a ÷ 2) × a = 18 ⇒ a 2 = 18 × 2 ⇒ a 2 = 36 ⇒ a = 6
So, 6 is related to 54. Hence, the second option is correct.
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