GRE GMAT TESTs AND SOLUTIONs

 X and Y are positive numbers.    Quantity A                                                   Quantity B Sqr (X)-Sqr (Y)                                      Sqr(  X-2*(Sqr(X*Y))+Y)

Quantity A                                                    Quantity B 35,043 × 25,430                                     35,430 × 25,043 A)The quantity in Quantity A is greater. B)The quantity in Quantity B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

                           y<>0 5Y^2                                           -Y^2/7 A)The quantity in Quantity A is greater. B)The quantity in Quantity B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

To fill a larger concert hall, a madrigal singing group consisting of sopranos, altos, and basses, in a 5:7:3 ratio, needs 40 singers. What is the least number of basses the group will need?

In the first half of last year, a team won 60 percent of the games it played. In the second half of last yeas, the team played 20 games, winning 3 of them. If the team won 50 percent of the games it played last year, what was the total number of games the team played last year?

The University of Maryland, University of Vermont, and Emory University have each 4 soccer players. If a team of 9 is to be formed with an equal number of players from each university, how many number of ways can the selections be done? (A) 3 (B) 4 (C) 12 (D) 16 (E) 25

(The average of five consecutive integers starting from m) – (the average of six consecutive integers starting from m) = (A) –1/4 (B) –1/2 (C) 0 (D) 1/2 (E) 1/4

Which one of the following could be an integer? (A) The average of two consecutive integers (B) The average of three consecutive integers (C) The average of four consecutive integers (D) The average of six consecutive integers (E) The average of 6 and 9

If n is an even integer, which one of the following is an odd integer? (A) n^2 (B)( n +1)^2 (C) –2n – 4 (D) 2n^2 – 3 (E) Sqr(n2 + 2)

If the ratio of two numbers is 6 and their sum is 21, what is the value of the larger number? (A) 1 (B) 5 (C) 12 (D) 17 (E) 18

What percent of 3x is 6y if x = 4y? (A) 50% (B) 40% (C) 30% (D) 20% (E) 18%

In the figure above, triangle ABC is isosceles with base AC. If x = 60°, then AC = (A) 2 (B) 3 (C) 4 (D) 14/3 (E) Sqr 30

A shopkeeper sells his goods using 20% lesser weight and professes to sell the goods at the cost price. How much does he gain from his lie? Indicate the correct option. A shopkeeper sells his goods using 20% lesser weight and professes to sell the goods at the cost price. How much does he gain from his lie? Indicate the correct option. A)5% B)8% C)20% D)25% E)10%

A new word is to be formed by randomly rearranging the letters of the word ALGEBRA. What is the probability that the new word has consonants occupying only the positions currently occupied by consonants in the word ALGEBRA? (A) 2/120 (B) 1/24 (C) 1/6 (D) 2/105 (E) 1/35

On average, a sharpshooter hits the target once in every 3 shots. What is the probability that he will not hit the target until the 4th shot? (A) 1 (B) 8/81 (C) 16/81 (D) 65/81 (E) 71/81

On average, a sharpshooter hits the target once every 3 shots. What is the probability that he will hit the target in 4 shots? (A) 1 (B) 1/81 (C) 1/3 (D) 65/81 (E) 71/81

Suppose five circles, each 4 inches in diameter, are cut from a rectangular strip of paper 12 inches long. If the least amount of paper is to be wasted, what is the width of the paper strip? (A) 5 (B) 4 +2 Sqr 3 (C) 8 (D) 4(1+ Sqr 3) (E) not enough information

What is the greatest prime factor of ((2^4 )^2)−1? (A) 3 (B) 5 (C) 11 (D) 17 (E) 19

How many different ways can 3 cubes be painted if each cube is painted one color and only the 3 colors red, blue, and green are available? (Order is not considered, for example, green, green, blue is considered the same as green, blue, green.) (A) 2 (B) 3 (C) 9 (D) 10 (E) 27

A computer store offers employees a 20% discount off the retail price. If the store purchased a computer from the manufacturer for $1000 dollars and marked up the price 20% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (20% off retail price) as opposed to the final retail price. A) $1,000 B) $960 C) $240 D) $200 E) $150

Peter's bank account has p dollars. John's bank account has 5 times what Peter's bank account has and 1/3 what Fred's bank account has. How much more is in Fred's bank account than is in Peter's bank account, in terms of p? A) 15p B) 14p C) 4p D) (2/3)p E) (1/3)p

Computer Games Plus needs to get rid of its copies of an old computer game. If it lowers the cost of the old computer game by $5 dollars, it can increase sales of the old computer game by 10 units and still generate exactly $100 of revenue from the old game. How many units of the old computer game did Computer Games Plus sell after implementing the new selling strategy? A) 10 B) 15 C) 20 D) 30 E) 50

x, y, and z are consecutive positive integers such that x < y < z; which of the following must be true? I-xyz is divisible by 6 II-(z-x)(y-x+1)=4 III-xy is odd A) I only B) II only C) III only D) I and II only E) I, II, and III

At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked? A) 83% B) 80% C) 20% D) 17% E) 12%

There are six different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models? A) 48 B) 64 C) 24 D) 8 E) 72

A group of seven students is to be seated in a row of seven desks. In how many different ways can the group be seated if two of the preselected students must sit in an end seat (i.e., two students have been preselected to sit in either the first or the seventh seat)? A) 49 B) 100 C) 120 D) 240 E) 720

Four persons enter the lift of a seven story building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor A. 720 B. 1296 C. 1540 D. 1478 E. 360

A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 55% have red flags, what percentage of children have flags of both the colors? A) 5% B) 10% C) 15% D) 20% E) It can not be determined