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GMAT Quantitative General

Subjects : gmat, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. gcd(m,n)
A = P(1 + r) ^n
at least 3 steps
1.7
______ |m-n|

2. How to check whether a number is a multiple of 6
Number is a multiple of 3 and 2
12^3
always try to factor
12.5%

3. Volume of a sphere
if a first object may be chosen in m ways and a second object may be chosen in n ways - then there are mn ways of choosing both objects
4/3 TT r ^3
Even
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

4. How to find the slope.
y2 - y1 / x2 - x1
The probability of an event occurring plus the probability of the event not occurring = 1
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of

5. 0! = ?
180(n-2)
P(E)P(F)
Even
1

6. To determine multiple-event probability where each individual event must occur in a certain way.
3-4-5 - 5-12-13 - 9-12-15
1
Figure out the probability for each individual event. Multiply the individual probabilities together.
p/100 = is/of

7. Always try to factor
always try to factor
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
Figure out the probability for each individual event. Multiply the individual probabilities together.
Odd numbers only have ___________

8. Formula for area of a Trapezoid
(sum of bases)(height) / 2
Immediately try factoring/simplifying when possible
12.5%
principle (interest rate - in decimal form) (time - in years)

9. What does the Sum of the angles in a Regular Polygon formula look like?
(amount of change) / (original amount)
Principal (1 + interest/number times compounded)^(t)(n)
180(n-2)
3-4-5 - 5-12-13 - 9-12-15

10. How to check for a prime number.

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11. Gross
The total amount before any deductions
3-4-5 - 5-12-13 - 9-12-15
sum = (average)(number of terms)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

12. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
3-4-5 - 5-12-13 - 9-12-15
D or E
Divide 4999 by 15 => 333 integers
Organize into a grid.

13. How do you multiply roots together.
Group 1 + Group 2 + Neither - Both = Total
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
gcd(m,n)*lcm(m,n) = mn

14. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3
4/3 TT r ^3
3 - 6 - 9 - 12

15. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
market value
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
Divide 4999 by 15 => 333 integers
(n-1)!

16. 4th rule of Probability
14 liters
The probability of event A OR B occurring is the probability of event A occurring plus the probability of event B occurring minus the probability of both events occurring. P(A or B) = P(A) +P(B) - P(A and B)
180(n-2)
22

17. 2n+1 - 2n+3 - 2n+5
Odd
22
Immediately UNFACTOR or vice versa
Immediately try factoring/simplifying when possible

18. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
principle (interest rate - in decimal form) (time - in years)
$11 - 025
______ |m-n|
P(E)P(F)

19. Three triangle length patterns
16.6%
347
0.15n + 0.08(5) = 0.1(n+5)
3-4-5 - 5-12-13 - 9-12-15

20. How to check whether a number is a multiple of 4.
D or E
x - x - x(sq. rt 2)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(amount of change) / (original amount)

21. How to check whether a number is a multiple of 3.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
gcd(m,n)*lcm(m,n) = mn
Sum of digits is multiple of 3
The probability of event A OR B occurring is the probability of event A occurring plus the probability of event B occurring minus the probability of both events occurring. P(A or B) = P(A) +P(B) - P(A and B)

22. In general - difficult questions require how many steps to solve?
Sum of digits is multiple of 9
at least 3 steps
Divide 4999 by 15 => 333 integers
(total A) / (total B)

23. Percent increase = ?
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
0.15n + 0.08(5) = 0.1(n+5)
(total A) / (total B)
(amount of change) / (original amount)

24. 3^3 x 4^3 = ?
12^3
4/3 TT r ^3
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
at least 3 steps

25. How to find all divisors of a number
Find all prime factors
(n-1)!
The probability of event occurring is...
P(E) + P(F) - P(E and F)

26. Inscribed Angle - Minor Arc
principle (interest rate - in decimal form) (time - in years)
Minor arc = 2(inscribed angle)
sum = (average)(number of terms)
y2 - y1 / x2 - x1

27. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
The probability of an event occurring plus the probability of the event not occurring = 1
D or E
The amount after deductions

28. Intersecting Sets
Divide 4999 by 15 => 333 integers
| A union B| = |A| + |B| - |A intersect B|
x(sq. rt 3) - x - 2x
Exterior angle d is equal to the sum of the two remote interior angles a and b

29. Number added or deleted
180(n-2)
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
p/100 = is/of

30. How to check whether number is multiple of 9
P(E)P(F)
Sum of digits is multiple of 9
Immediately UNFACTOR or vice versa
P(event NOT occurring) = 1 - P(event occurring)

31. In general - medium questions require how many steps to solve?
(total A) / (total B)
market value
2 steps
| A union B| = |A| + |B| - |A intersect B|

32. Lowest Common Multiple 60: 2 x 2 x 3 x 5 - 72: 2 x 2 x 2 x 3 x 3 - LCM: 2 x 2 x 2 x 3 x 3 x 5
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
Sum of digits is multiple of 3
The probability of event A OR B occurring is the probability of event A occurring plus the probability of event B occurring minus the probability of both events occurring. P(A or B) = P(A) +P(B) - P(A and B)
P(event NOT occurring) = 1 - P(event occurring)

33. Multiples of 3
P(E)P(F)
3 - 6 - 9 - 12
x - x - x(sq. rt 2)
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of

34. Odd Factors
sum = (average)(number of terms)
s Sq. rt (x^r)
Odd numbers only have ___________
The probability of event occurring is...

35. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
347
1.7
Immediately try factoring/simplifying when possible
principle (interest rate - in decimal form) (time - in years)

36. 1/6 = what %
(# of favorable outcomes) / (# of possible outcomes)
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
16.6%

37. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Minor arc = 2(inscribed angle)
The probability of an event occurring plus the probability of the event not occurring = 1
Odd numbers only have ___________
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

38. Sum of consecutive numbers
12.5%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
sum = (average)(number of terms)
16.6%

39. Average Rate: Average speed
-b +- sq. rt(b^2 - 4ac) / 2a
22
(total distance) / (total time)
principle (interest rate - in decimal form) (time - in years)

40. (1/4)^2
1/16
Immediately UNFACTOR or vice versa
16.6%
Sum of digits is multiple of 9

41. Prime Factorization to find Greatest Common Factor
A = P(1 + r) ^n
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
(sum of bases)(height) / 2
12.5%

42. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
Organize into a grid.
P(E) + P(F) - P(E and F)
______ |m-n|

43. How to check whether a number is a multiple of 12.
12.5%
Immediately UNFACTOR or vice versa
Sum of digits is multiple of 3 - last two digits multiple of 4.
| A union B| = |A| + |B| - |A intersect B|

44. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Minor arc = 2(inscribed angle)
Any multiplication involving an even number creates an even product.

45. Work problem rule
Divide 4999 by 15 => 333 integers
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
| A union B| = |A| + |B| - |A intersect B|
1

46. 1. A and B < A or B 2. A or B > Individual probabilities of A - B 3. P(A and B) = P(A) x P(B) <-- 'fewer options' 4. P(A or B) = P(A) + P(B) <-- 'more options' - Probability of multiple events rules.
Immediately try factoring/simplifying when possible
The probability of event occurring is...
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1st Rule of Probability: Basic Rule is what?

47. Percent Formula
(x-n(n)y-n)
p/100 = is/of
D or E
Balancing

48. Sq. rt(3)
1 - P(E)
gcd(m,n)*lcm(m,n) = mn
1.7
2 steps

49. Dependent events: When are two events said to be dependent events?
Odd numbers only have ___________
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
If the outcome of one event affects the outcome of the other event.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

50. The number of outcomes that result in A divided by the total number of possible outcomes.
Odd numbers only have ___________
The probability of event occurring is...
if a first object may be chosen in m ways and a second object may be chosen in n ways - then there are mn ways of choosing both objects
(sum of bases)(height) / 2