Two groups of numbers are given below. In each set of numbers, the second number is obtained by performing certain mathematical operations on the first number ' Similarly, the second number ' is followed by certain mathematical operations to get the next number and this pattern continues in the same way. A group of verbs similar to this question follows the numbers in which of the following options? (Note - Digits cannot be separated to perform operations on two/three digit numbers, for example if number 37 is followed by number 10, then the arithmetic operation 3 + 7 cannot be performed, as two digit numbers cannot be separated into separate digits.) 5 – 12 – 26 – 47 9 – 16 – 30 – 51

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  1. 1)3 – 10 – 14 – 35
  2. 2)4 – 11 – 25 – 43 
  3. 3)6 – 13 – 26 – 37
  4. 4) 8 – 15 – 29 – 50

Answer (Detailed Solution Below)

Option 4 : 4) 8 – 15 – 29 – 50
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Detailed Solution

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The logic followed here is:

5 – 12 – 26 – 47

5 + 7 = 12

12 + 14 = 26

26 + 21 = 47

And,

9 – 16 – 30 – 51

9 + 7 = 16

16 + 14 = 30

30 + 21 = 51

So, checking each option one by one:

Option 1) 3 – 10 – 14 – 35

3 + 7 = 10

10 + 14 = 24 ≠ 14

14 + 21 = 35

Option 2) 4 – 11 – 25 – 43 

4 + 7 = 11

11 + 14 = 25

14 + 21 = 35 ≠ 43

Option 3) 6 – 13 – 26 – 37

6 + 7 = 13

13 + 14 = 27 ≠ 26

26 + 21 = 47 ≠ 37

Option 4) 8 – 15 – 29 – 50

8 + 7 = 15

15 + 14 = 29

29 + 21 = 50

Thus, out of all the options '8 – 15 – 29 – 50' follows the same logic as given.

Hence, "Option 4" is the correct answer.

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