The Average of a set of four numbers is 78. if three of the numbers in the set are 71,74, and 83. what is the fourth number?
84
100
In how many ways can 5 students be seated in three chairs?
60
100
A die is rolled, find the probability that the number obtained is greater than 4.
1/3
100
A ball is drawn at random from an urn containing colored balls. The balls can be either red or blue (no other colors are possible). The probability of drawing a blue ball is 1/3. What is the probability of drawing a red ball?
2/3
100
A6+B4+B8
what is the value of digit b?
6
200
In a class, 18 students had an average midterm exam grade of 85 and the 12 remaining students had an average midterm exam grade of 90. What is the average midterm exam grade of the entire class?
87
200
In a class of 30 students, 20 students are studying French, 12 students are studying Spanish, and 5 are studying neither French nor Spanish. How many students are studying both?
25
200
The faces of a red cube and a yellow cube are numbered from 1 to 6. Both cubes are rolled. What is the probability that the top face of each cube will have the same number?
1/6
200
The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?
70/200 or 0.35
200
a$b= 15a-ab
what value of a is a$9=36
6
300
The average final exam grade of 10 students is x and the average final exam grade of 15 students is y. If the average final exam grade of the 25 students is t, what is x in terms of y and t?
5t-3y /2
300
. In a music class of 30 students, x% study woodwinds, 40% study strings, 30% study both woodwinds and strings. 40% study neither strings nor woodwinds. What is the value of x?
40%
300
A jar contains four blue marbles, and two green marbles. Without looking, two marbles are drawn from the jar. What is the probability that two marbles with the same color will be selected?
7/15
300
Two dice are rolled, find the probability that the sum is
a) equal to 1
b) equal to 4
c) less than 13
a) 0
b)3/36 = 1/12
c) 1
300
11,18,x,32,y,46.....
What is the formula to find nth term?
(hint: n is a positive integer)
7n+4
400
If the average of 3 consecutive multiples of 4 is 32, what is the least of these multiples?
28
400
1. Shari remembers the last four digits of a seven digit telephone number but only knows that each of the first three digits of the telephone number is an odd number. Find the maximum number of telephone calls she must make before she dials the correct number when the first three digits are different.
60
400
The probability of selecting a green marble at random from a jar that contains only green, white, and yellow marbles is 1/4. The probability of selecting a white marble at random from the same jar is 1/3. If this jar contains 10 yellow marbles, what is the total number of marbles in the jar?
24
400
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
9/20
400
-2,0,1,2
A sequence of numbers is formed by repeating the above set of four numbers. What is the sum of the first 41 terms of this sequence?
8
500
The median of seven test scores is 82, the mode is 87, and the lowest score is 70, and the average is 80.If the scores are integers, what is the greatest possible test score.
91
500
. Seven students with unequal heights are arranged in a line. In how many ways can the students be arranged if the shortest is first and the tallest is last?
120
500
Five Students, all of different heights, are to be randomly arranged in a line. What is the probability that the tallest student will be first and the shortest student will be last in the line?
1/20
500
What is the probability of getting a sum 9 from two throws of a dice?
1/9
500
x,y,22,14,10,....
In the sequence above, each term after he first term ,x, is obtained by halving the term that comes before it and then adding 3 to that number. what is the value of x+y