We know two question types in GRE quantitative reasoning from our previous blog. We shall now try to understand the other two question types.
In this question type, you are asked to solve the problem and pick one or more answer(s) among the given set of answer choices. There is no exact number of answer choices in this question type. A question may or may not ask the number of answer choices to be selected.
Indicate all such values
If a<b<0, then which of the following inequalities must be true?
Indicate all such inequalities
As we have variables in the inequalities, let us assign a set of values to answer the question.
Say a= -2, b= -1
ab = (-2)*(-1) = 2 a+b = (-2) + (-1) = -3 b-a= (-1)-(-2) =1
All answer choices satisfies this set of values. We are unable to eliminate any answer choice.
Let us try another set of values, say a= -0.2, b= -0.1.
ab= (-0.2)*(-0.1) =0.02 a+b= (-0.2) + (-0.1) =-0.3 b-a= (-0.1)-(-0.2) =0.1
Answer choices B and C can be eliminated. At this stage, can we mark the remaining two as answers? No!
So now we are left with answer choices A and D.
Let us confirm by thinking logically. Answer choice A will always be positive, as a product of two negative numbers will be positive. Answer choice D which is b-a will also be positive as b>a and both are negative.
Hence A and D are the correct answers.
What is the volume of a right circular cylinder that has a circumference of 10π and a height of 6?
Express your answer to the nearest whole number.