Test your basic knowledge |

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 all divisors of a number
16.6%
Figure out the probability for each individual event. Multiply the individual probabilities together.
Find all prime factors
Exterior angle d is equal to the sum of the two remote interior angles a and b

2. 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
gcd(m,n)*lcm(m,n) = mn
D or 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.
______ |m-n|

3. 1/8 = what %
The probability of event occurring is...
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. 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%

4. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
______ |m-n|
D or E
The probability of event occurring is...
16.6%

5. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
market value
12.5%
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
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. Inscribed Angle - Minor Arc
3-4-5 - 5-12-13 - 9-12-15
gcd(m,n)*lcm(m,n) = mn
Minor arc = 2(inscribed angle)
Odd

7. Sq. rt(2)
1.7
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)
1.4
always try to factor

8. Compound interest formula
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 distance) / (total time)
Principal (1 + interest/number times compounded)^(t)(n)
Find simple interest then look for the answer that is a little bigger

9. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
1.4
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The amount after deductions

10. 0! = ?
1
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)
Exterior angle d is equal to the sum of the two remote interior angles a and b
2 steps

11. How do you multiply roots together.
n! / (n - r)!
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
22
347

12. How to find the slope.
Balancing
The probability of event occurring is...
y2 - y1 / x2 - x1
180(n-2)

13. Probability and Geometry.
83.3%
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
Group 1 + Group 2 + Neither - Both = Total
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.

14. Net
p/100 = is/of
Figure out the probability for each individual event. Multiply the individual probabilities together.
The amount after deductions
principle (interest rate - in decimal form) (time - in years)

15. Average Rate: Average A per B
(total A) / (total B)
P(event NOT occurring) = 1 - P(event occurring)
Balancing
1/16

16. Quadratic formula
(# of favorable outcomes) / (# of possible outcomes)
-b +- sq. rt(b^2 - 4ac) / 2a
gcd(m,n)*lcm(m,n) = mn
$11 - 025

17. Average Rate: Average speed
Even
P(E)P(F)
(total distance) / (total time)
market value

18. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
Divide 4999 by 15 => 333 integers
A = P(1 + r) ^n
P(E) + P(F) - P(E and F)
(n-1)!

19. Always try to factor
always try to factor
3 - 6 - 9 - 12
s Sq. rt (x^r)
Group 1 + Group 2 + Neither - Both = Total

20. What does the Sum of the angles in a Regular Polygon formula look like?
1
2 steps
180(n-2)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

21. Combined Events: E or F
Odd numbers only have ___________
P(E) + P(F) - P(E and F)
Purchase price
Figure out the probability for each individual event. Multiply the individual probabilities together.

22. gcd(m,n)
0.15n + 0.08(5) = 0.1(n+5)
Sum of digits is multiple of 3
Number is a multiple of 3 and 2
______ |m-n|

23. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
1.4
12^3
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(n-1)!

24. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 9
Sum of digits is multiple of 3 - last two digits multiple of 4.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

25. Work problem rule
(total A) / (total B)
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.
12^3
1st Rule of Probability: Basic Rule is what?

26. Odd and Even rule.
(total A) / (total B)
p/100 = is/of
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.

27. Set Problems formula
(# of favorable outcomes) / (# of possible outcomes)
2 steps
(x-n(n)y-n)
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.

28. Percent Formula
1
x - x - x(sq. rt 2)
x(sq. rt 3) - x - 2x
p/100 = is/of

29. The number of outcomes that result in A divided by the total number of possible outcomes.
Purchase price
The probability of event occurring is...
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.
3-4-5 - 5-12-13 - 9-12-15

30. Sq. rt(3)
4/3 TT r ^3
Immediately UNFACTOR or vice versa
1.7
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

31. How to check whether a number is a multiple of 6
market value
Group 1 + Group 2 + Neither - Both = Total
180(n-2)
Number is a multiple of 3 and 2

32. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
| A union B| = |A| + |B| - |A intersect B|
347
D or E
P(E) + P(F) - P(E and F)

33. How to check for a prime number.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

34. Odd Factors
The probability of event occurring is...
Sum of digits is multiple of 3
Odd numbers only have ___________
83.3%

35. 2n - 2n+2 - 2n+4
3-4-5 - 5-12-13 - 9-12-15
x - x - x(sq. rt 2)
Find simple interest then look for the answer that is a little bigger
Even

36. How many liters of a solution that is 10% alcohol by volume must be added to 2 liters of a solution that is 50% alcohol by volume to create a solution that is 15% alcohol by volume?
Immediately try factoring/simplifying when possible
The total amount before any deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
14 liters

37. Indistinguishable events how to find the number of permutations

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

38. Gross Profit formula
Gross Profit = Selling Price - Cost
(total A) / (total B)
347
(n-1)!

39. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Any multiplication involving an even number creates an even product.
Sum of digits is multiple of 9
principle (interest rate - in decimal form) (time - in years)
180(n-2)

40. Sum of consecutive numbers
2 steps
(# of favorable outcomes) / (# of possible outcomes)
sum = (average)(number of terms)
Sum of digits is multiple of 3 - last two digits multiple of 4.

41. Price sold for by retailer (after markup)
market value
1.4
(n-1)!
Organize into a grid.

42. How to check whether a number is a multiple of 4.
Number is a multiple of 3 and 2
s Sq. rt (x^r)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

43. Prime Factorization to find Greatest Common Factor
Group 1 + Group 2 + Neither - Both = Total
12.5%
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
Number is a multiple of 3 and 2

44. Trial Problems: look at the probability of NOT OCCURRING
16.6%
s Sq. rt (x^r)
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 9

45. Dependent events: When are two events said to be dependent events?
12.5%
(amount of change) / (original amount)
If the outcome of one event affects the outcome of the other event.
(n-1)!

46. 4th rule of Probability
D or E
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)
Odd numbers only have ___________

47. What to do with equations that have fractions
Find simple interest then look for the answer that is a little bigger
0.15n + 0.08(5) = 0.1(n+5)
Immediately try factoring/simplifying when possible
market value

48. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
Purchase price
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.
1 - P(E)

49. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
______ |m-n|
Immediately UNFACTOR or vice versa
Odd numbers only have ___________

50. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
0.15n + 0.08(5) = 0.1(n+5)
n! / (n - r)!
P(E) + P(F) - P(E and F)