A is a prime number (A>2). If C = A3, by how many different integers can C be equally divided?
A. 3.
B. 4.
C. 5.
D. 6
E. 7
If X is a positive integer and (405) 4 is a multiple of 3X, what is the largest possible value of X?
A. 5.
B. 12.
C. 16.
D. 20
E. 26.
A Super-Jet airplane is flying at an average speed of 500 miles per hour. The average speed of a Turbo-Prop airplane is 15% lower than that of a Super-Jet. How long will it take a Turbo-Prop airplane to fly 950 miles?
A. 2 hours.
B. 1 hour and 30 minutes.
C. 3 hours and 15 minutes.
D. 2 hours and 24 minutes.
E. 4 hours.
20 beavers, working together in a constant pace, can build a dam in 3 hours.
How many hours will it take 12 beavers that work at the same pace, to build the same dam?
A. 5.
B. 2.
C. 8.
D. 4.
E. 6.
Is the largest of 7 consecutive numbers odd?
(1)
The product of the seven numbers is zero.
(2)
The sum of the seven numbers is zero.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
How many people are in the van?
(1)
The average weight of each person is 75 Kg.
(2)
The people and the van together weigh 5000 Kg.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
The net value of a certain stock increased at a constant rate during the ten-year period between 1990 and 2000. What was the value of the stock in the year 1998?
(1)
In 1991, the value of the stock was 130 U.S dollars.
(2)
In 1992, the value of the stock was 149.5 U.S dollars.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
What is the total number of students that will finish their first degree this year at the Will hunt University?
(1)
The number of male students that will finish their first degree ten less than three-fifths of number of female students.
(2)
The number of male students is 360.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
What is the sum of two angles in a triangle?
-
One of the angles is equal to the sum of the other two.
-
One of the sides is equal to the other.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
What is the average (arithmetic mean) of X and Y?
-XY = 12.
-
2X = 26 -2Y.
A.
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D.
Either statement BY ITSELF is sufficient to answer the question.
E.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.