Hi Ashikaverma13,
The best way to approach inequality questions of this type is to plug in values. There are two things you need to keep in mind while plugging in values on a Yes/No DS question
1. Plug in values to satisfy the statement first and then answer a Yes or No to the main question.
2. Plug in values to disprove the statement i.e. if you plug in a value which gives you a YES, try to plug in a value to get a NO instead of trying to get a definite YES or No and prove it sufficient
Also in questions where you are not given any constraint, you need to be doubly careful. Here we have not been given any information about the type of number z is. So z can be any real number. The trap here would be to assume that z has to be a positive integer.
Is z an odd number?
Keep in mind that only positive and negative numbers can be odd or even. We cannot have fractions or irrational numbers to be odd or even.
Statement 1 : 3z is an odd numberPlug in z = 1. This gives us a YES.
Plug in z =1/3. This gives us a NO.
Insufficient.
Statement 2 : z/3 is an odd numberz/3 = odd -----> z = odd * 3 -----> z = odd.
Sufficient.
OA : B
CrackVerbal Academics Team