GRE TEST WITH CORRECT ANSWER
100% PASS
Percent Increase Formula - CORRECT ANSWER -(new value - original value )/original value x 100
= Percent increase
1. Multiplying the denominators of each fraction gives us 24 (4 x 2 x 3 = 24), a manageable
number. Now let's apply this number to the question stem:
Beginning with 24 students, 6 of them ( of 24) are assigned to Room A. 18 remain; half of them,
or 9, are assigned to Room B. 9 remain; of them, or 6, are assigned to C, leaving us with 3
students in Room D. 3 students out of a total of 24 is equal to 3/24 = 1/8 . - CORRECT ANSWER -
THIS IS REALLY HELPFUL
One-fourth of a student body is assigned to Room A, and 1/2 of the remaining students are are
assigned to Room B. If 2/3 of the rest of the students are assigned to Room C, and the
remainder are assigned to Room D, what fraction of the total student body is assigned to Room
D?
(Hint: Pick a number for the total # of students.) WHO DO DO THIS:
Last season a basketball team 1/2 won of its games. This season it played 4/5 as many games,
and won 1/3 of them. This year's wins represent what proportion of last year's wins?
(Hint: Pick a number for the total # of games last season.) - CORRECT ANSWER -Do the
Multiplying the Denominator Trick!
2. Multiplying the denominators of each fraction gives us 30: 2 x 3 x 5 = 30. Note that this
number is also the least common multiple of the three numbers.
,If 30 games were played last season, 15 games were wins. This season of 30, or 24 games, were
played. of these, or 8, were won. This year's wins are therefore 8/15 of last season's wins.
3. Of an art collection, 1/6 of the paintings are oils, and the remainder are watercolors. If 2/3 of
the oils are also landscapes, and if 1/2 of the watercolors are also landscapes, what fraction of
the total number of paintings are landscapes?
(Hint: Pick a number for the total # of paintings.) - CORRECT ANSWER -Denominator Trick
3. In this question, the answer choices provide a helpful hint. At first glance, it may seem that 6
(the least common multiple here), 12, or 18 might be the ideal choice. Each of these choices,
however, would result in a fraction for at least one painting category. The product of our
denominators, 36, once again works best. Let's apply this number to the question stem:
If we have 36 paintings, then 6 are oils and 30 are watercolors. 2/3 of the 6 oils, or 4, are also
landscapes. 1/2 of the 30 watercolors, or 15, are also landscapes, for a landscape total of 19.
The answer is therefore 19/36
One class in a school is 30 percent boys. If a second class that is half the size of the first is 40
percent boys, what percent of both classes are boys? - CORRECT ANSWER -For percent
questions, always use 100 as the unknown value!
We are told that 30% of the class are boys, but we are not told how large the class actually is.
Since we are dealing with percentages, let's make the class size 100 students. If there are 100
students, and 30% are boys, there must be 30 boys.
The second class has 50 students (half the number in the first class) and 40% are boys. 50 x .4 =
20, so there are 20 boys in the second class. ********
,Together, there are 150 students in the two classes and 50 of them are boys, so 50/150 = 1/3 or
33.3
largest prime factor - CORRECT ANSWER -means largest number that you end with at the end of
the multiplication chain: aka the very start of the multiplication process.
A customer placed 15 percent of the total amount due on a purchase on a credit card, which
was to be paid later. The customer paid the remaining amount due immediately by paying
$135.14 in cash and using a $25.00 gift certificate. What was the total amount due? - CORRECT
ANSWER -Since 15% was paid with a credit card, 100% − 15% = 85% was paid immediately. The
amount paid immediately was $135.14 + $25.00 = $160.14. Thus, $160.14 is 85% of the total
amount due. Let's say that the total amount due was T dollars. Then 85% of T is 160.14. Then
0.85T = $160.14, and T=160.14/0.85=188.4. The total amount due was $188.40. Choice (E) is
correct.
2.84 in millions - CORRECT ANSWER -2,840,000
Review Question 14 on Second Quantitative part of practice test (kaplan) - CORRECT ANSWER --
Which of the following integers is such that the sum of its distinct positive factors, not including
itself, is greater than itself?
6, 8, 9, 10, 12 - CORRECT ANSWER -Go through the answer choices one at a time, looking for the
number that fits the requirement in the question stem. 6 has factors of 1, 2, 3, and 6. 1 + 2 + 3 =
6, which is not greater than 6, so discard choice (A). 8 has factors of 1, 2, 4, and 8. 1 + 2 + 4 = 7,
which is less than 8, so discard choice (B). 9 has factors of 1, 3, and 9. 1 + 3 < 9, so discard choice
(C). 10 has factors of 1, 2, 5, and 10. 1 + 2 + 5 = 8, which is less than 10, so discard choice (D).
We have now eliminated all 4 incorrect answer choices, so we know that choice (E) must be
correct. To be sure, let's check choice (E). 12 has factors of 1, 2, 3, 4, 6, and 12. 1 + 2 + 3 + 4 + 6 =
16, so choice (E) is correct.
, Integer - CORRECT ANSWER -All whole numbers (both positive and negative) and zero.
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be
positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of
numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.
Squaring a sqaure root rule
if you do the (sqaure root of 6) raised to ^2, then its just 6. The square root and ^2 cancel
eachother out. - CORRECT ANSWER -
3 Raised to the X trick
for example 3 raised to X and X is greater than 0 and less than 1 - CORRECT ANSWER -Same at
the square root
Area of a Circle - CORRECT ANSWER -A=πr²
Area of a traingle - CORRECT ANSWER -bh/2
Angle of a Triangle Add up to what - CORRECT ANSWER -180
Sides of a triangle rules - CORRECT ANSWER -https://www.youtube.com/watch?v=vN7Tb-tL3VA
PEMDAS - CORRECT ANSWER -Parentheses, Exponents, Multiplication, Division, Addition,
Subtraction
100% PASS
Percent Increase Formula - CORRECT ANSWER -(new value - original value )/original value x 100
= Percent increase
1. Multiplying the denominators of each fraction gives us 24 (4 x 2 x 3 = 24), a manageable
number. Now let's apply this number to the question stem:
Beginning with 24 students, 6 of them ( of 24) are assigned to Room A. 18 remain; half of them,
or 9, are assigned to Room B. 9 remain; of them, or 6, are assigned to C, leaving us with 3
students in Room D. 3 students out of a total of 24 is equal to 3/24 = 1/8 . - CORRECT ANSWER -
THIS IS REALLY HELPFUL
One-fourth of a student body is assigned to Room A, and 1/2 of the remaining students are are
assigned to Room B. If 2/3 of the rest of the students are assigned to Room C, and the
remainder are assigned to Room D, what fraction of the total student body is assigned to Room
D?
(Hint: Pick a number for the total # of students.) WHO DO DO THIS:
Last season a basketball team 1/2 won of its games. This season it played 4/5 as many games,
and won 1/3 of them. This year's wins represent what proportion of last year's wins?
(Hint: Pick a number for the total # of games last season.) - CORRECT ANSWER -Do the
Multiplying the Denominator Trick!
2. Multiplying the denominators of each fraction gives us 30: 2 x 3 x 5 = 30. Note that this
number is also the least common multiple of the three numbers.
,If 30 games were played last season, 15 games were wins. This season of 30, or 24 games, were
played. of these, or 8, were won. This year's wins are therefore 8/15 of last season's wins.
3. Of an art collection, 1/6 of the paintings are oils, and the remainder are watercolors. If 2/3 of
the oils are also landscapes, and if 1/2 of the watercolors are also landscapes, what fraction of
the total number of paintings are landscapes?
(Hint: Pick a number for the total # of paintings.) - CORRECT ANSWER -Denominator Trick
3. In this question, the answer choices provide a helpful hint. At first glance, it may seem that 6
(the least common multiple here), 12, or 18 might be the ideal choice. Each of these choices,
however, would result in a fraction for at least one painting category. The product of our
denominators, 36, once again works best. Let's apply this number to the question stem:
If we have 36 paintings, then 6 are oils and 30 are watercolors. 2/3 of the 6 oils, or 4, are also
landscapes. 1/2 of the 30 watercolors, or 15, are also landscapes, for a landscape total of 19.
The answer is therefore 19/36
One class in a school is 30 percent boys. If a second class that is half the size of the first is 40
percent boys, what percent of both classes are boys? - CORRECT ANSWER -For percent
questions, always use 100 as the unknown value!
We are told that 30% of the class are boys, but we are not told how large the class actually is.
Since we are dealing with percentages, let's make the class size 100 students. If there are 100
students, and 30% are boys, there must be 30 boys.
The second class has 50 students (half the number in the first class) and 40% are boys. 50 x .4 =
20, so there are 20 boys in the second class. ********
,Together, there are 150 students in the two classes and 50 of them are boys, so 50/150 = 1/3 or
33.3
largest prime factor - CORRECT ANSWER -means largest number that you end with at the end of
the multiplication chain: aka the very start of the multiplication process.
A customer placed 15 percent of the total amount due on a purchase on a credit card, which
was to be paid later. The customer paid the remaining amount due immediately by paying
$135.14 in cash and using a $25.00 gift certificate. What was the total amount due? - CORRECT
ANSWER -Since 15% was paid with a credit card, 100% − 15% = 85% was paid immediately. The
amount paid immediately was $135.14 + $25.00 = $160.14. Thus, $160.14 is 85% of the total
amount due. Let's say that the total amount due was T dollars. Then 85% of T is 160.14. Then
0.85T = $160.14, and T=160.14/0.85=188.4. The total amount due was $188.40. Choice (E) is
correct.
2.84 in millions - CORRECT ANSWER -2,840,000
Review Question 14 on Second Quantitative part of practice test (kaplan) - CORRECT ANSWER --
Which of the following integers is such that the sum of its distinct positive factors, not including
itself, is greater than itself?
6, 8, 9, 10, 12 - CORRECT ANSWER -Go through the answer choices one at a time, looking for the
number that fits the requirement in the question stem. 6 has factors of 1, 2, 3, and 6. 1 + 2 + 3 =
6, which is not greater than 6, so discard choice (A). 8 has factors of 1, 2, 4, and 8. 1 + 2 + 4 = 7,
which is less than 8, so discard choice (B). 9 has factors of 1, 3, and 9. 1 + 3 < 9, so discard choice
(C). 10 has factors of 1, 2, 5, and 10. 1 + 2 + 5 = 8, which is less than 10, so discard choice (D).
We have now eliminated all 4 incorrect answer choices, so we know that choice (E) must be
correct. To be sure, let's check choice (E). 12 has factors of 1, 2, 3, 4, 6, and 12. 1 + 2 + 3 + 4 + 6 =
16, so choice (E) is correct.
, Integer - CORRECT ANSWER -All whole numbers (both positive and negative) and zero.
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be
positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of
numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.
Squaring a sqaure root rule
if you do the (sqaure root of 6) raised to ^2, then its just 6. The square root and ^2 cancel
eachother out. - CORRECT ANSWER -
3 Raised to the X trick
for example 3 raised to X and X is greater than 0 and less than 1 - CORRECT ANSWER -Same at
the square root
Area of a Circle - CORRECT ANSWER -A=πr²
Area of a traingle - CORRECT ANSWER -bh/2
Angle of a Triangle Add up to what - CORRECT ANSWER -180
Sides of a triangle rules - CORRECT ANSWER -https://www.youtube.com/watch?v=vN7Tb-tL3VA
PEMDAS - CORRECT ANSWER -Parentheses, Exponents, Multiplication, Division, Addition,
Subtraction
