The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs except one. Find that odd number-pair.

1. 10 : 33
2. 2 : 9
3. 8 : 29
4. 6 : 21

Question

The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs except one. Find that odd number-pair.

1. 10 : 33  
2. 2 : 9  
3. 8 : 29  
4. 6 : 21

Accepted Answer

**Solution:**

1. Analyze the pattern:
   - The second number is obtained by multiplying the first number by 3 and then adding 3.

2. Verify each pair:
   - For 10 : 33, calculation: $10 	imes 3 + 3 = 30 + 3 = 33$ (matches)
   - For 2 : 9, calculation: $2 	imes 3 + 3 = 6 + 3 = 9$ (matches)
   - For 8 : 29, calculation: $8 	imes 3 + 3 = 24 + 3 = 27$ (does not match 29)
   - For 6 : 21, calculation: $6 	imes 3 + 3 = 18 + 3 = 21$ (matches)

3. Conclusion:
   - The pair 8 : 29 does not follow the pattern.

**Answer:** 8 : 29

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