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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. How to check whether a number is a multiple of 4.
Group 1 + Group 2 + Neither - Both = Total
Last two digits are multiple of 4 or the number can be divided by 2 twice.
The amount after deductions
at least 3 steps

2. Sq. rt(2)
Immediately try factoring/simplifying when possible
1.4
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.
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

3. 4th rule of Probability
1.7
P(E)P(F)
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)
Immediately try factoring/simplifying when possible

4. Volume of a sphere
16.6%
4/3 TT r ^3
To find the number of distinct permutations of a set of items with indistinguishable ('repeat') items - divide the factorial of the items in the set by the product of the factorials of the number of indistinguishable elements.
The total amount before any deductions

5. Probability and Geometry.
Purchase price
1.7
(x-n(n)y-n)
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

6. Set Problems formula
Odd numbers only have ___________
Number is a multiple of 3 and 2
(x-n(n)y-n)
If the outcome of one event affects the outcome of the other event.

7. 3rd Rule of Probability: Conditional Probability
gcd(m,n)*lcm(m,n) = mn
p/100 = is/of
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.
(total A) / (total B)

8. Always try to factor
(x-n(n)y-n)
0.15n + 0.08(5) = 0.1(n+5)
3 - 6 - 9 - 12
always try to factor

9. Percent increase = ?
(amount of change) / (original amount)
180(n-2)
Group 1 + Group 2 + Neither - Both = Total
12.5%

10. Intersecting Sets
Find simple interest then look for the answer that is a little bigger
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.
| A union B| = |A| + |B| - |A intersect B|
The amount after deductions

11. Three triangle length patterns
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
s Sq. rt (x^r)
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)
3-4-5 - 5-12-13 - 9-12-15

12. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
1.4
1
$11 - 025
(# of favorable outcomes) / (# of possible outcomes)

13. To determine multiple-event probability where each individual event must occur in a certain way.
x - x - x(sq. rt 2)
Figure out the probability for each individual event. Multiply the individual probabilities together.
0.15n + 0.08(5) = 0.1(n+5)
If the outcome of one event affects the outcome of the other event.

14. Percent Formula
p/100 = is/of
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.
Sum of digits is multiple of 3
1

15. Multiplication principle
The probability of event occurring is...
$11 - 025
P(E)P(F)
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

16. Number added or deleted
22
always try to factor
sum = (average)(number of terms)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

17. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Sum of digits is multiple of 3
x - x - x(sq. rt 2)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
12^3

18. Properties of 0
Sum of digits is multiple of 3 - last two digits multiple of 4.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Organize into a grid.
(total distance) / (total time)

19. 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
(sum of bases)(height) / 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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1.4

20. 5/6 = what %
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.
83.3%
12.5%
Odd numbers only have ___________

21. Average Rate: Average speed
(total distance) / (total time)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1/16
Sum of digits is multiple of 3 - last two digits multiple of 4.

22. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
x(sq. rt 3) - x - 2x
3-4-5 - 5-12-13 - 9-12-15
(n-1)!

23. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
(x-n(n)y-n)
P(E)P(F)
n! / (n - r)!

24. How to check whether number is multiple of 9
p/100 = is/of
Sum of digits is multiple of 9
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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)

25. 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.
1st Rule of Probability: Basic Rule is what?
Find simple interest then look for the answer that is a little bigger
Divide 4999 by 15 => 333 integers
P(event NOT occurring) = 1 - P(event occurring)

26. gcd(m,n)*lcm(m,n)
To find the number of distinct permutations of a set of items with indistinguishable ('repeat') items - divide the factorial of the items in the set by the product of the factorials of the number of indistinguishable elements.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Sum of digits is multiple of 9
gcd(m,n)*lcm(m,n) = mn

27. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
(n-1)!
D or E
12.5%
3 - 6 - 9 - 12

28. 2nd Rule of Probability: P(E) = 1 - P(not E)
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.
market value
The probability of an event occurring plus the probability of the event not occurring = 1
22

29. Gross
The total amount before any deductions
1/16
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
n! / (n - r)!

30. 45-45-90 triangle basic lengths of sides
(x-n(n)y-n)
Odd
(total A) / (total B)
x - x - x(sq. rt 2)

31. Combined Events: Not E = P(not E) = ?
Immediately UNFACTOR or vice versa
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)
1 - P(E)
(# of favorable outcomes) / (# of possible outcomes)

32. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
P(E)P(F)
$11 - 025
p/100 = is/of

33. The number of outcomes that result in A divided by the total number of possible outcomes.
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.
12.5%
1/16
The probability of event occurring is...

34. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Divide 4999 by 15 => 333 integers
The total amount before any deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
principle (interest rate - in decimal form) (time - in years)

35. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
1st Rule of Probability: Basic Rule is what?
1.4
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.

36. To determine the number of integers less than 5000 that are evenly divisible by 15...?
1/16
Divide 4999 by 15 => 333 integers
2 steps
12^3

37. 30-60-90 triangle basic lengths of sides
Divide 4999 by 15 => 333 integers
3 - 6 - 9 - 12
x(sq. rt 3) - x - 2x
Odd

38. Compound interest rule
14 liters
Find simple interest then look for the answer that is a little bigger
1 - P(E)
1.4

39. How to find all divisors of a number
(amount of change) / (original amount)
14 liters
Find all prime factors
Immediately UNFACTOR or vice versa

40. How to check whether a number is a multiple of 12.
Principal (1 + interest/number times compounded)^(t)(n)
16.6%
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately try factoring/simplifying when possible

41. Work problem rule
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.
Organize into a grid.
(# of favorable outcomes) / (# of possible outcomes)
Immediately UNFACTOR or vice versa

42. x^r/s = ?
(n-1)!
s Sq. rt (x^r)
| A union B| = |A| + |B| - |A intersect B|
1.4

43. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
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 bases)(height) / 2
Exterior angle d is equal to the sum of the two remote interior angles a and b

44. How to check for a prime number.

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45. Net
(n-1)!
(total distance) / (total time)
Any multiplication involving an even number creates an even product.
The amount after deductions

46. The number of ways independent events can occur together.
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.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.7
Any multiplication involving an even number creates an even product.

47. Quadratic formula
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Organize into a grid.
-b +- sq. rt(b^2 - 4ac) / 2a
If the outcome of one event affects the outcome of the other event.

48. How do you multiply roots together.
180(n-2)
Principal (1 + interest/number times compounded)^(t)(n)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
y2 - y1 / x2 - x1

49. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
The amount after deductions
22
3 - 6 - 9 - 12
Balancing

50. How many liters of a solution that is 15% salt must be added to 5 liters of a solution that is 8% salt so that the resulting mixture is 10% salt?
180(n-2)
0.15n + 0.08(5) = 0.1(n+5)
market value
(amount of change) / (original amount)