GMAT Math Prep Most Comprehensive Question Bank Set 2

If X and Y are consecutive numbers (Y>X), which of the following statements could be false?

1. The multiplication XY is an even number.

2. (Y/X) > 1.

3. (X + Y) is always an odd number.


Options are :

  • 2 only (Correct)
  • 1 and 3 only
  • 1, 2 and 3
  • 1 only
  • 1 and 2 only

Answer :2 only

A Complete Practice Test for GRE Set 2

X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?

1. (X + Y) is an odd number.

2. Y^(X + Y) is an integer.

3. X^Y is a positive number.


Options are :

  • 2 and 3 only (Correct)
  • 1 and 3 only
  • 2 only
  • 1, 2 and 3
  • 3 only

Answer :2 and 3 only

Tower X is smaller than tower Z. Is tower Y bigger than tower X?

 

(1) Tower Z higher than tower Y.

 

(2) Tower Y is one of the tallest in the world.


Options are :

  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

How long will it take 5 chambermaids to arrange the beds of the entire hotel?

 

(1) There are 4 floors in the hotel.

 

(2) Each floor contains 6 rooms.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data (Correct)
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data

The most 150 frequently used words in IELTS exams Set 2

A newly wed couple is designing their new house by purchasing 10 chairs, 3 desks, 3 televisions and 4 closets. If the price ratio between the new merchandise is

1 : 3 : 4 : 4, what fraction of the cost of the entire purchase was the cost of a desk and a closet?


Options are :

  • 5/28
  • 9/43
  • 11/45
  • 6/31
  • 7/47 (Correct)

Answer :7/47

If R is between (-2) and (2), which of the following can be the greatest?


Options are :

  • R^2
  • R^4
  • 32
  • R^3
  • 1/R (Correct)

Answer :1/R

If W is between (-1) and (0), which of the following is least?


Options are :

  • (1/W)^2
  • 1/W (Correct)
  • W^2
  • 0
  • W

Answer :1/W

GMAT GRE - Math - Practice Test - MCQ Set 5

If all values of X such as (0 < X < 1), which can be the least?


Options are :

  • X^3 (Correct)
  • 0
  • X^2
  • (X-1)^2
  • X

Answer :X^3

How many patients can a group of dermatologists diagnose in one day?

 

(1) Two dermatologists can diagnose 3 patients in 1.5 hours.

 

(2) Dermatologists work for 8 hours a day.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data (Correct)

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data

Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?   


Options are :

  • 3.5
  • 4.5
  • 2.5
  • 3
  • 4 (Correct)

Answer :4

A Complete Practice Test for GRE Set 5

If A and B are two prime numbers bigger than 2, which of the following can't be true?

 

(1) A + B is an even number.

 

(2) A x B is also a prime number.

 

(3) A^B is also a prime number.


Options are :

  • 1, 2 and 3
  • 2 only
  • 3 only
  • 2 and 3 only (Correct)
  • 1 only

Answer :2 and 3 only

How many bananas did Jerry the monkey eat today?

 

(1) Today, Jerry ate 30% more than his regular average.

 

(2) Yesterday, Jerry ate 32 bananas, which is 15% less than his regular average.


Options are :

  • Either statement BY ITSELF is sufficient to answer the question.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the differences in their height is equal to their average height, what is the Value of H/L?


Options are :

  • 6
  • 1/3
  • 1/2
  • 3 (Correct)
  • 2

Answer :3

GMAT GRE - Math - Practice Test - MCQ Set 2

A student is studying for a test from 11:00 A.M to 20:00 P.M on weekdays and one third of that time on Saturdays, on Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying?   


Options are :

  • 3/7
  • 2/5
  • 3/8
  • 5/2
  • 2/7 (Correct)

Answer :2/7

Lilac has three times more Barbie dolls than Orly.  If Lilac gives 6 dolls to Nirit, she would have 21 dolls left. How many dolls does Orly have?


Options are :

  • 5
  • 11
  • 7
  • 13
  • 9 (Correct)

Answer :9

How many steaks did the restaurant sell between 20:00 P.M and 21:00 P.M on Wednesday?

 

(1) On Tuesday the restaurant sold 25 steaks between the hours of 20:00 P.M and 21:00 P.M.

 

(2) The average amount of steaks that are sold on Wednesdays is 25 steaks per hour.


Options are :

  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

GMAT GRE - Math - Practice Test - MCQ Set 11

There are two major statues in Tasmanian County; the first is no more than 45 meters high. How tall is the second statue?

 

(1) The second statue is 10 meters higher than the first statue.

 

(2) Both statues together are 80 meters high.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?


Options are :

  • 204.5
  • 190.6
  • 212.8
  • 198.2
  • 194.8 (Correct)

Answer :194.8

Three cars are starting to drive from three corners of a huge triangle towards the middle. Car A can travel at a speed of 110 miles per hour, car B can travel 10% less and car C can travel at the average speed of the first two cars. If all cars leave at the same time and it took car A 30 minutes to get to the middle, how long approximately after car C reached the middle, did car B reached it?   


Options are :

  • They reached at the same time
  • About 5 minutes
  • About 10 minutes
  • About 15 minutes
  • About 1.5 minutes (Correct)

Answer :About 1.5 minutes

TOEFL and IELTS VOCABULARY IN FORM OF ENGLISH PRACTICE TESTS Set 1

The East-17 pre-school is upgrading all of its classrooms by buying 46 computers, 6 printers and 5 fax machines. If a computer costs 4 times more than a printer and 2 times more than the fax machine, what percent of the cost of the entire purchase was the cost of one computer, 2 printers and 1 fax machine?   


Options are :

  • 2%
  • 1%
  • 4% (Correct)
  • 3%
  • 5%

Answer :4%

An average teenager sleeps from 23:00 P.M till 7:30 on week days and on the weekend, which is Saturday and Sunday, he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?   


Options are :

  • 17/42 (Correct)
  • 48.75/168
  • 55.5/168
  • 15/38
  • 52.5/120

Answer :17/42

How many diamond rings can a goldsmith refine in two weeks?

 

(1) There are 4 diamonds in each ring.

 

(2) One goldsmith can refine 2 diamonds in 4 hours.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

The most 150 frequently used words in IELTS exams Set 4

How long will it take Jimmy to organize his stamp collection?

 

(1) Jimmy can organize 45 stamps in 2 hours.

 

(2) In the collection there are 30 regular stamps and 90 special ones.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

How many days would it take two carpenters, working together, to build 5 desks?

 

(1) Each carpenter can build 4 desks in two days.

 

(2) Two carpenters, working together, work twice as fast as one carpenter working alone.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. (Correct)
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer :Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

A cruise ship traveled for 3 hours. In the first hour, the ship sailed at a speed of 25 Km/h, which was 25% faster than the speed in the third hour. In the middle hour the ship sailed at the average speed of the first and third hours. What was the total distance the ship traveled in 3 hours?


Options are :

  • 67.5 (Correct)
  • 66.5
  • 70
  • 65
  • 72.5

Answer :67.5

A Complete Practice Test for GRE Set 1

"Tires R' us" have 4 times more tires for sale than any regular tire shop. If "Tires R' Us" Sells 122 tires, they will have only three times more tires than the rest.

How many more tires do "Tires R' us" have than the regular tire shop?


Options are :

  • 388
  • 488
  • 366 (Correct)
  • 188
  • 299

Answer :366

By what percent did the price of a pound of plum increase?

 

(1) Each pound of plum costs 28 cents more.

 

(2) The original price per pound was 52 cents


Options are :

  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question.
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

What is the new price for a pound of persimmon?

 

(1) The old price is 45 cents per pound.

 

(2) The new price is more than half of the old price.


Options are :

  • Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  • Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  • Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  • Either statement BY ITSELF is sufficient to answer the question
  • Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Vocabulary for SAT, GMAT, GRE, CAT applicants Set 3

The number 12 bus is working from 6:00 in the morning to 10:00 P.M on weekdays. On Saturdays and Sundays the bus goes to the garage 3 times a day for upgrading, each time for 3 hours. For what fraction part of the entire week is the bus on the road?   


Options are :

  • 5/12
  • 7/12 (Correct)
  • 4/7
  • 7/9
  • 6/11

Answer :7/12

A grocery store ordered a delivery of fresh milk products that contained 45 milk bottles, 24 cheese packs and 23 cartons of chocolate milk. If the chocolate milk carton costs as much as a bottle of milk, which is three times the price of a cheese pack, what fraction of the cost of the entire purchase was the cost of 20 bottles of milk, 1 pack of cheese and 5 chocolate milk cartons?   


Options are :

  • 2/5
  • 1/4
  • 1/6
  • 3/7
  • 1/3 (Correct)

Answer :1/3

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