GRE Mathematics 2

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The GRE mathematical reasoning section tests your knowledge of arithmetic, basic algebra, applied mathematics, elementary geometry, and common graphs and charts. Let Starts with the GRE Mathematics quiz.

1. If $6k^2+k= 2$ and $k>0$, then $k$ must equal which of the following?

 
 
 
 

2. If $x=\frac{y}{7}$ and $7x=12$, then $y=?$

 
 
 
 
 

3. If $x=k+\frac{1}{2}=\frac{k+1}{2}$, then $x=$?

 
 
 
 
 

4. In a cafeteria, the people are either faculty members or students. The number of faculty members is 15% of the total number of people in the cafeteria. After some of the students leave, the total number of persons remaining in the cafeteria is 50% of the original total. The number of students who left is what fractional part of the original number of students?

 
 
 
 
 

5. ABC works two part-time jobs. One week ABC worked 8 hours at one job, earning $\$150$, and $4.5$ hours at the other job, earning $\$90$. What were his average hourly earnings for the week?

 
 
 
 
 

6. In a certain population, 40% of all people have biological characteristics $X$; the others do not. if 8000 people have characteristic $X$, how many people do not have $X$?

 
 
 
 
 

7. A car dealer who gives a customer a 20% discount on the list price of a car still realizes a net profit of 25% of the cost. If the dealer’s cost is $4800 what is the usual list price of the car?

 
 
 
 
 

8. If $7-x=0$, then $10-x=$?

 
 
 
 
 

9. For how many 3-digit whole numbers is the sum of the digits equal to 3?

 
 
 
 
 

10. $2000 amount is deposited into a savings account that earns interest at the rate of 10% per year, compounded semi-annually. How much money will there be in the account at the end of one year?

 
 
 
 
 

11. If the value of a piece of the property decreases by 10% while the tax rate on the property increases by 10%, what is the effect on the taxes?

 
 
 
 
 

12. A certain photo state machine produces 13 copies every 10 seconds. If the machine operates without interruption, how many copies will it produce in an hour?

 
 
 
 
 

13. If $x+y=8$ and $2x-y=10$ then $x=$?

 
 
 
 
 

14. If the radius of a circle is increased by 1 unit, the ratio of the new circumference to the new diameter is:

 
 
 
 

15. If $3x-5=x+11$, then $x=$?

 
 
 
 
 


GRE Mathematics Test with Answers

MCQs GRE Mathematics with Answers

  • ABC works two part-time jobs. One week ABC worked 8 hours at one job, earning $\$150$, and $4.5$ hours at the other job, earning $\$90$. What were his average hourly earnings for the week?
  • In a cafeteria, the people are either faculty members or students. The number of faculty members is 15% of the total number of people in the cafeteria. After some of the students leave, the total number of persons remaining in the cafeteria is 50% of the original total. The number of students who left is what fractional part of the original number of students?
  • In a certain population, 40% of all people have biological characteristics $X$; the others do not. if 8000 people have characteristic $X$, how many people do not have $X$?
  • If $3x-5=x+11$, then $x=$?
  • If $x+y=8$ and $2x-y=10$ then $x=$?
  • $2000 amount is deposited into a savings account that earns interest at the rate of 10% per year, compounded semi-annually. How much money will there be in the account at the end of one year?
  • A car dealer who gives a customer a 20% discount on the list price of a car still realizes a net profit of 25% of the cost. If the dealer’s cost is $4800 what is the usual list price of the car?
  • If the value of a piece of property decreases by 10% while the tax rate on the property increases by 10%, what is the effect on the taxes?
  • A certain photo state machine produces 13 copies every 10 seconds. If the machine operates without interruption, how many copies will it produce in an hour?
  • If $x=\frac{y}{7}$ and $7x=12$, then $y=?$
  • If $x=k+\frac{1}{2}=\frac{k+1}{2}$, then $x=$?
  • If $7-x=0$, then $10-x=$?
  • For how many 3-digit whole numbers is the sum of the digits equal to 3?
  • If $6k^2+k= 2$ and $k>0$, then $k$ must equal which of the following?
  • If the radius of a circle is increased by 1 unit, the ratio of the new circumference to the new diameter is:

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