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Worked Examples Type-II

In the following examples five numbers are given, out of which four are alike in a certain way. Identify the number which is different from others.
 
Example-1
(1) 49 (2) 67 (3) 139 (4) 176 (5) 229
Analysis:
The sum of digits is 13 in all the numbers except in 176.
 
Hence, 176 is the odd man.
 
Answer: (4)
 

Example-2
(1) 166 (2) 239 (3) 326 (4) 433 (5) 941
Analysis:
The product of digits is 36 in all the cases, except in 239. In 239, the product of digits is 54.
 
Hence, 239 is the odd man.
 
Answer: (2)
 

Example-3
(1) 199 (2) 248 (3) 326 (4) 414 (5) 527
Analysis:
In all the numbers except in 527, the third digit (i.e., digit in unit place) is the product of the remaining two digits.
 
Hence, 527 is the odd man.
 
Answer: (5)
 

Example-4
(1) 6 (2) 10 (3) 14 (4) 18 (5) 22
Analysis:
When we divide each number by 2, we get a prime quotient, except in case of 18.
 
When 18 is divided by 2, we get the quotient as 9, which is not a prime number.
 
In fact, 9 is a perfect square.
 
Hence, 18 is the odd man.
 
Answer: (4)
 

Example-5
(1) 37 (2) 50 (3) 65 (4) 82 (5) 99
Analysis:
Each number except 99 is one more than the perfect square.
 
99 is one less than a perfect square.
 
Hence, 99 is the odd man.
 
Answer: (5)
 





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