47056.A team of workers including Tom and Dick work in the same office according to a schedule that ensures that exactly two team members will be present at a given time, and that in the course of the week all the team members work an equal number of hours. What is the probability that a visitor to the office who doesn`t know the schedule arrives to find both Tom and Dick in the office?
1.The team has three members.
2.Tom and Dick worked together for the whole of the previous day.
1.The team has three members.
2.Tom and Dick worked together for the whole of the previous day.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47057.If x, y and z are different integers, is x divisible by 11?
xyz is divisible by 22 and 33
yz is divisible by 72
xyz is divisible by 22 and 33
yz is divisible by 72
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47058.A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?
20 percent of the male faculty members have a doctorate.
A total of 1140 faculty members have only a masters degree.
20 percent of the male faculty members have a doctorate.
A total of 1140 faculty members have only a masters degree.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47059.A piece of string 1½ meters long is cut into three pieces. What is the length of each of the pieces?
1.The length of one of the pieces is 20 cm.
2.The sum of the lengths of two of the pieces is equal to the length of the third piece.
1.The length of one of the pieces is 20 cm.
2.The sum of the lengths of two of the pieces is equal to the length of the third piece.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47060.A die is rolled randomly on to a circular board with a triangle inscribed in the circle. (All three vertices of the triangle are on the circumference of the circle.) What is the probability that the die comes to rest outside the triangular region?
The hypotenuse of the triangle is a diameter of the circle.
The radius of the circle is 2 units, and the area of the triangle is 4 square units.
The hypotenuse of the triangle is a diameter of the circle.
The radius of the circle is 2 units, and the area of the triangle is 4 square units.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47061.Is x < 0 ?
7x > 8x
-3(x) >0
7x > 8x
-3(x) >0
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47062.When a cookie is taken at random from a jar, what is the probability that it is chocolate flavored?
1.There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
2.One third of the cookies in the jar are almond flavored.
1.There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
2.One third of the cookies in the jar are almond flavored.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47063.A man shared his lottery winnings of $15,000 with his wife and two children. How much did his wife receive?
1.He gave his children $2,000 each.
2.The wife received $1,000 less than her husband and three thousand more than each of the children.
1.He gave his children $2,000 each.
2.The wife received $1,000 less than her husband and three thousand more than each of the children.
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47064.Is xy < 15?
0.5 < x < 1, and y² = 144
x < 3 , y < 5
0.5 < x < 1, and y² = 144
x < 3 , y < 5
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
47065.Set 1: 13, 10, 8, 2
Set 2: 13, 11, 3, 2, x
Is the median of the numbers in set 1 above, equal to the median of the numbers in set 2?
8 < x < 10
2.The sum of numbers in set 2 is 38
Set 2: 13, 11, 3, 2, x
Is the median of the numbers in set 1 above, equal to the median of the numbers in set 2?
8 < x < 10
2.The sum of numbers in set 2 is 38
statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question