A bag contains 15 tickets, number from 1 to 15. A ticket is drawn and then another ticket is drawn without replacement. Find the probability that tickets will show even numbers.

A) 1/5

B) 3/5

C) 4/5

D) 13/20

E) 2/5

A vessel is filled with a liquid in which 5 parts are milk and 3 parts are water. What fraction of mixture must be drawn off are replaced with water. So that the mixture may be half water and half milk.

a) 1/2
b) 1/3
c) 2/3
d) 1/5
e) 1/8

Working alone at its constant rate, machine K took 3 hours to produce ¼ of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the unites produced last Friday. How many hours would it have taken machine M, working along at its constant rate, to produce all of the units produced last Friday?

Â

(A)Â 8

(B)Â Â 12

(C)Â 16

(D)Â 24

(E)Â Â 30

What is the value of the integer k?
(1) k + 3 > 0
(2) k^4 =< 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

If n > 0, which is greater, 20 percent of n or 10 percent of the sum of n and 05 ?
(1)) n < 01
(2)) n > 001

A ) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
B ) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
C ) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D ) EACH statement ALONE is sufficient
E ) Statements (1) and (2) TOGETHER are NOT sufficient

At a dinner party, 5 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total nummber of different possible seating arrangements for the group?

(A) 5
(B) 10
(C) 24
(D) 32
(E) 120

A spider eats 3 flies a day. Until the spider fill its quota, a fly has 50% chance of survival if it attempts to pass the web. Assuming 5 flies have already made the attempt to pass, what is the probability that the 6th fly will survive the attempt.

a) 0 %

b) 25 %

c) 50%

d) 75%

e) 100%

If x and y are positive integers, what is the value of xy?

(1) The greatest common factor of x and y is 10.
(2) The least common multiple of x and y is 180.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

If x= 3y , is x^2 > y^2 ?

1 ) y+x > y-x
2) x^2 = 9y^2

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

The Question has been edited

from x2-y2 => x^2 – y^2

————————————–

Is x^2 – y^2 a positive number?

(1) x – y is a positive number.
(2) x + y is a positive number.

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?
(1) The average height of the students in class X is 120 centimeters.
(2) The average height of the students in class X and class Y combined is 126 centimeters.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?

a) 15/29
b) 5/8
c) 5/16
d) 1/2
e) 13/27

Jake, Lena, Fred, John and Inna need to drive home from a party in a car that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?

a. 30
b. 42
c. 60
d. 120
e. 125

2 cars are 120 miles apart.If both cars go at a constant speed with one of them going at 30/mph and the other 40/mph – how far apart will the 2 cars be in exactly 1 hour before they meet?

A) 10
B) 50
C) 70
D) 110
E) None of these

A total of 9 women and 12 men reside in the 21 apartments that are in a certain apartment building, one person to each apartment. If a poll taker is to select one of the apartments at random, what is the probability that the resident of the apartment selected will be a woman who is a student?
(1) Of the women, 4 are students.
(2) Of the women, 5 are not students.

A`. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.