GRE Math : Arithmetic
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Example Questions
Example Question #1 : Decimals
Solve for 
To solve, first add 
Then add the decimals together:
Example Question #361 : Arithmetic
Solve for 
To solve, you need to do some algebra:
Isolate x by adding the 4.150 to both sides of the equation.
Then add the decimals. If you have trouble adding decimals, an effective method is to place one decimal over the other, and add the digits one at a time. Remember to carry every time the digits in a given place add up to more than 
Example Question #5 : Decimals
Solve for 
To solve for 
Then, add your decimals, and remember that 
Example Question #1 : Decimals
Solve for 
To solve, first add 
Then add the decimals together:
Example Question #3 : Decimal Operations
Quantity A:
Quantity B:
Quantity A is greater.
The two quantities are equal.
The relationship cannot be determined.
Quantity B is greater.
The relationship cannot be determined.
Use the values of .5 and 2 as possible x values. If x = 2, Quantity A is positive and greater, but if x = .5, Quantity A is negative and therefore smaller. As such, the relationship cannot be determined.
Example Question #951 : Gre Quantitative Reasoning
Solve for 
To solve for 
If you have trouble subtracting the decimals, you can multiply both of them by 
Example Question #951 : Gre Quantitative Reasoning
Make sure to follow the order of operations. Begin by combining all terms inside the parentheses:
Convert the fraction to a decimal and once again complete the operations inside the parentheses:
The answer is 
Example Question #4 : Decimal Operations
find 0.72
49
0.0049
4.9
0.049
0.49
0.49
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
Example Question #361 : Arithmetic
There are 3,500 people in group A and 5,000 people in group B:
|
Car Type |
% in Group A Who Own |
% in Group B Who Own |
|
Motorbike |
4 |
9 |
|
Sedan |
35 |
25 |
|
Minivan |
22 |
15 |
|
Van |
9 |
12 |
|
Coupe |
3 |
6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
20 fewer
50 fewer
15 more
30 more
30 fewer
20 fewer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
Example Question #362 : Arithmetic
Given that 
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have 
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, 
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
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