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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 find the slope.
1.4
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
y2 - y1 / x2 - x1

2. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
Exterior angle d is equal to the sum of the two remote interior angles a and b
A = P(1 + r) ^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
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

3. How to check whether a number is a multiple of 4.
Odd numbers only have ___________
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)
12.5%

4. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
1.4
3 - 6 - 9 - 12
Group 1 + Group 2 + Neither - Both = Total

5. Volume of a sphere
Group 1 + Group 2 + Neither - Both = Total
4/3 TT r ^3
Sum of digits is multiple of 3 - last two digits multiple of 4.
1.7

6. Quadratic formula
3-4-5 - 5-12-13 - 9-12-15
-b +- sq. rt(b^2 - 4ac) / 2a
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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

7. Combined Events: E and F
1
P(E)P(F)
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.
Find simple interest then look for the answer that is a little bigger

8. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
Number is a multiple of 3 and 2
Sum of digits is multiple of 3 - last two digits multiple of 4.
12.5%

9. x^r/s = ?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
s Sq. rt (x^r)
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
Gross Profit = Selling Price - Cost

10. Trial Problems: look at the probability of NOT OCCURRING
(total A) / (total B)
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.
P(event NOT occurring) = 1 - P(event occurring)
-b +- sq. rt(b^2 - 4ac) / 2a

11. 1/8 = what %
Any multiplication involving an even number creates an even product.
1 - P(E)
(amount of change) / (original amount)
12.5%

12. Net
P(event NOT occurring) = 1 - P(event occurring)
(amount of change) / (original amount)
4/3 TT r ^3
The amount after deductions

13. In general - difficult questions require how many steps to solve?
at least 3 steps
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1.7
Principal (1 + interest/number times compounded)^(t)(n)

14. Permutations: Order Matters
n! / (n - r)!
The amount after deductions
3-4-5 - 5-12-13 - 9-12-15
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)

15. Number added or deleted
sum = (average)(number of terms)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
p/100 = is/of
at least 3 steps

16. Combined Events: Not E = P(not E) = ?
3-4-5 - 5-12-13 - 9-12-15
1 - P(E)
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 = P(1 + r) ^n

17. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Principal (1 + interest/number times compounded)^(t)(n)
16.6%
(sum of bases)(height) / 2
22

18. Simple probability
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(# of favorable outcomes) / (# of possible outcomes)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Exterior angle d is equal to the sum of the two remote interior angles a and b

19. 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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Odd numbers only have ___________
83.3%

20. The number of outcomes that result in A divided by the total number of possible outcomes.
Even
The probability of event occurring is...
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
Principal (1 + interest/number times compounded)^(t)(n)

21. In general - medium questions require how many steps to solve?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1.4
2 steps
A = P(1 + r) ^n

22. Three triangle length patterns
The probability of event occurring is...
Immediately try factoring/simplifying when possible
n! / (n - r)!
3-4-5 - 5-12-13 - 9-12-15

23. Formula for area of a Trapezoid
(sum of bases)(height) / 2
A = P(1 + r) ^n
sum = (average)(number of terms)
| A union B| = |A| + |B| - |A intersect B|

24. How to check whether a number is a multiple of 6
16.6%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Immediately UNFACTOR or vice versa
Number is a multiple of 3 and 2

25. Average Rate: Average speed
16.6%
Immediately try factoring/simplifying when possible
(sum of bases)(height) / 2
(total distance) / (total time)

26. Percent increase = ?
Number is a multiple of 3 and 2
Divide 4999 by 15 => 333 integers
gcd(m,n)*lcm(m,n) = mn
(amount of change) / (original amount)

27. Think of averages as what? The average of 3 - 4 - 5 - and x is 5. What is x? 3 is 2 less than 5 4 is 1 less than 5 - 5 is the average - x = 5 + 3 = 8
(x-n(n)y-n)
s Sq. rt (x^r)
Balancing
Find all prime factors

28. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
P(event NOT occurring) = 1 - P(event occurring)
(sum of bases)(height) / 2
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.
$11 - 025

29. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Sum of digits is multiple of 3
Sum of digits is multiple of 3 - last two digits multiple of 4.
(n-1)!
y2 - y1 / x2 - x1

30. Multiples of 3
The total amount before any deductions
2 steps
3 - 6 - 9 - 12
Purchase price

31. How to check for a prime number.

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32. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
12.5%
347
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)

33. 3^3 x 4^3 = ?
12^3
The probability of an event occurring plus the probability of the event not occurring = 1
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.

34. Always try to factor
(x-n(n)y-n)
347
always try to factor
83.3%

35. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
180(n-2)
Immediately try factoring/simplifying when possible
Gross Profit = Selling Price - Cost

36. 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.
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)
83.3%
14 liters

37. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
Balancing
principle (interest rate - in decimal form) (time - in years)
Purchase price

38. 1/6 = what %
16.6%
Find simple interest then look for the answer that is a little bigger
1st Rule of Probability: Basic Rule is what?
(amount of change) / (original amount)

39. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
Check each prime number up to the approximate square root of the number. If you haven't found a number less than or equal to the square root of the number - then the number is prime.
Exterior angle d is equal to the sum of the two remote interior angles a and b
Sum of digits is multiple of 3

40. 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.
Figure out the probability for each individual event. Multiply the individual probabilities together.
(x-n(n)y-n)
1.4

41. 3rd Rule of Probability: Conditional Probability
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
14 liters
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.
Principal (1 + interest/number times compounded)^(t)(n)

42. How do you multiply roots together.
x(sq. rt 3) - x - 2x
1st Rule of Probability: Basic Rule is what?
Gross Profit = Selling Price - Cost
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

43. Multiplication principle
A = P(1 + r) ^n
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)
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
Minor arc = 2(inscribed angle)

44. (1/4)^2
Immediately UNFACTOR or vice versa
D or E
P(E) + P(F) - P(E and F)
1/16

45. How to check whether number is multiple of 9
12.5%
16.6%
Sum of digits is multiple of 9
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

46. Properties of 0
1.7
(total distance) / (total time)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
P(E) + P(F) - P(E and F)

47. Odd Factors
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.
Odd
Balancing
Odd numbers only have ___________

48. Prime Factorization to find Greatest Common Factor
4/3 TT r ^3
14 liters
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
P(event NOT occurring) = 1 - P(event occurring)

49. Compound interest formula
P(event NOT occurring) = 1 - P(event occurring)
Principal (1 + interest/number times compounded)^(t)(n)
(n-1)!
(x-n(n)y-n)

50. Triangle abc with d on the outside with a line. What does d = ?
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(n-1)!
180(n-2)
Exterior angle d is equal to the sum of the two remote interior angles a and b