Below are two sets of numbers. In each set of numbers, certain mathematical operations on the first number result in a second number. Similarly, certain mathematical operations on the second number result in the third number and so on. Which of the following options follows the same set of verbs as in the question? (Note: Mathematical operations must be performed without separating the denominators of whole numbers. For example, 13 - operations such as addition/subtraction/multiplication can be performed on the number 13. It is not allowed to separate the denominators 1 and 3 of 13 and then perform arithmetic operations.)

3-6-8-16;

9-18-20-40

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  1. 13-15-30-60
  2. 8-16-32-34
  3. 7-14-16-32
  4. 6-12-14-16

Answer (Detailed Solution Below)

Option 3 : 7-14-16-32
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Detailed Solution

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The logic followed here is,

The pattern is: × 2, + 2, × 2

Let's identify the pattern in the given series:

For the series 3-6-8-16:

3 × 2 = 6

6 + 2 = 8

8 × 2 = 16

For the series 9-18-20-40:

9 × 2 = 18

18 + 2 = 20

20 × 2 = 40

Now let's check the options:

Option 1) 13-15-30-60

13 × 2 = 26 (not 15)

Option 2) 8-16-32-34

8 × 2 = 16

16 + 16 = 32 (not + 2)

Option 3) 7-14-16-32

7 × 2 = 14

14 + 2 = 16

16 × 2 = 32

Option 4) 6-12-14-16

6 × 2 = 12

12 + 2 = 14

14 × 2 = 28 (not 16)

Hence, Option 3 follows the same set of operations.

The correct answer is Option 3.

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