kapquants1

Quants

1) A committee of 5 is to be selected from a group of 15 girls

Column A

Number of selection if a girl is always included

Column B

Number of selection if a girl is always excluded

A) if the quantity in column A is greater.

B) if the quantity in column B is greater.

C) if the quantities are equal.

D) if the relationship cannot be determined from the information given.

__________________________________________________________________

2) In July the price of a stock increased by 10 percent. In August, it

declined by 20 percent. If in September the price increased 10 percent,

by what percentage of the original July price has the stock changed in

price from the start of July to the end of September?

(A) 0 percent

(B) 3.2 percent

(C) 4.4 percent

(D) 20 percent

(E) 40 percent

__________________________________________________________________

3) Which of the following is 850 percent greater than 8 x 103?

(A) 8.5 x 103

(B) 6.4 x 104

(C) 6.8 x 104

(D) 7.6 x 104

(E) 1.6 x 105

________________________________________________________________

4) A vending machine dispenses gumballs in a regularly repeating cycle

of ten different colors. If a quarter buys 3 gumballs, what is the

minimum amount of money that must be spent before three gumballs of the

same color are dispensed?

(A) $1.00

(B) $1.75

(C) $2.00

(D) $2.25

(E) $2.50

________________________________________________________________

5) 1, 2, -3, -4, 1, 2, -3, -4...

The sequence above begins with 1 and repeats in the pattern 1, 2, -3,

-4 indefinitely.

Column A

The sum of the 49th and 51st terms.

Column B

The sum of the 50th and 52nd terms.





______________________________________________________________________

6) A butcher buys 240 kilograms of beef for $380. If 20 percent of the

beef is unusable, at approximately what average price per kilogram must

he sell the rest of the beef in order to make a profit of 25 percent?

(A) $2.30

(B) $2.40

(C) $2.45

(D) $2.47

(E) $2.55

____________________________________________________________________

7) a,b and c are positive integers and ab=c.

Column A

a

Column B

c





Percentage Question.

1) If a dealer had sold a stereo for $600, he would have made a 20%

profit. Instead, the dealer sold it for a 40% loss. At what price was

the stereo sold?

(A) $300

(B) $315

(C) $372

(D) $400

(E) $440

_____________________________________________________________

2) r > 3

Column A

The average rate when r words are typed in 3 hours

Column B

The average rate when 3 words are typed in r hours





____________________________________________________________

3) In a nationwide poll, N people were interviewed . If 1/4 of them

answered "yes" to question 1, and of those , 1/3 answered "yes to

question2, which of the following expresions represents the number of

people interviewed who did not answer "yes" to both questions?

A : N/7

B : 6N/7

C : 5N/12

D : 7N/12

E : 11N/12

___________________________________________________________________

4) A polygon has 44 diagonals, and then number of sides are ?

A) 7

B) 8

C) 9

D) 10

E) 11

__________________________________________________________________

5) Column A

sqrtx-sqrty

Column B

sqrt(x-y)



C) if the quantities are equal.D) if the relationship cannot be determined from the information given.

1) Data Sufficiency Question

I) If x is in S, then 1/x is in S.

II) If both x and y are in S, then so is x + y.

Is 3 in S?

(1) 1/3 is in S.

(2) 1 is in S.

A) Statement 1 alone is sufficient but statement 2 alone is not

sufficient to answer the question asked.

B) Statement 2 alone is sufficient but statement 1 alone is not


C) Both statements 1 and 2 together are sufficient to answer the

question but neither statement is sufficient alone.

D) Each statement alone is sufficient to answer the question.

E) Statements 1 and 2 are not sufficient to answer the question asked

and additional data is needed to answer the statements.

___________________________________________________________________

2) Time and Work Question

Four staff members at a certain company worked on a project. The

amounts of time that the four staff members worked on the project were

in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked

on the project for 30 hours, which of the following CANNOT be the total

number of hours that the four staff members worked on the project?

A) 80

B) 96

C) 160

D) 192

E) 240

__________________________________________________________________

3) Number Theory Question

How many positive integers exist between 10^6 and 10^7, the sum of

whose digits equal to 2 ?

A) 5

B) 6

C) 7

D) 8

E) 18

__________________________________________________________________

4) Algebra Question

What is the value of (4x^3-x)/(2x+1)(6x-3), when x=9999 ?

A) 999999

B) 111111

C) 33333

D) 3333

E) 333

______________________________________________________________

5) Algebra Question

y=(x+2)/(y-3)=0, Which of the following nust be true ?

A) x=2 and y=3

B) x=2 and y not equal to 3

C) x=-2 and y=3

D) x=-2 and y not equal to 3

E) No solution

1) If n is a positive integer that is less than 10, what is the value

of n?

(1) n is the tenth digit in the decimal representation of 1/n.

(2) n is the hundredth digit in the decimal representation of 1/n.

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.

______________________________________________________________________

2) If y is the smallest positive integer such that 3; 150 multiplied by

y is the square of an integer, then y must be

A) 2

B) 5

C) 6

D) 7

E) 14

_______________________________________________________________________

3) If x,y and z are integers, is the product xyz even ?

1) x is odd

2) z/2 is odd

A) Statement 1 alone is sufficient but statement 2 alone is not


B) Statement 2 alone is sufficient but statement 1 alone is not


C) Both statements 1 and 2 together are sufficient to answer the

question but neither statement is sufficient alone.

D) Each statement alone is sufficient to answer the question.

E) Statements 1 and 2 are not sufficient to answer the question asked

and additional data is needed to answer the statements.

Question on Algebra

1) sqrt(x-1) = x-7

A) -5 or 10

B) 5 or -10

C) -5 or -10

D) 5 or 10

E) None of these

___________________________________________________

Probability Question.

2) The number of numbers that can be formed by the digits

1,2,3,4,3,2,1. the odd digits are at odd places is given by

A) 430

B) 215

C) 93

D) 36

E) 18

_______________________________________________________-

3) Permutation and Combination Comparison

Column A

Number of ways in which 5 differently coloured beads be strung on a

necklace.

Column B

5!/2





1. X and Y are positive integers such that X=8Y+12. What is the Greatest

common factor of X and Y.

1. X=12u , Where u is an interger

2. Y=12v , where v is an interger

2. In a certain game, a large container is filled with red,yellow, green

and blue beads worth respectively 7,5,3 and 2 points each. A number of

beads are then removed from the container. If the product of the point

values of the removed beads is 147,000 how many red beads were removed?

A. 5

B. 4

C. 3

D. 2

E. 0

Speed and Distance

A certain river has current of 3 miles per hour. A boat takes twice as

long to travel upstream between two points as it does to travel

downstream between the same two points. What is the speed of the boat

in still water ?

A) 3 miles per hours

B) 6 miles per hours

C) 9 miles per hours

D) 12 miles per hoursE) The speed cannot be determined from the given information

GRE Question of the Day: Probability

What is the probability that the sum of the results when two dice are

rolled simultaneously will be 9?

(a) 1/3

(b) 7/36

(c) 1/6

(d) 10/36

(e) 5/9

_____________________________________________________________

GRE Question of the Day: Comparison

x and y are integers greater than 1.

Column A

2(x + y)

Column B

2xy



C) if the quantities are equal.D) if the relationship cannot be determined from the information given

Average Speed

John traveled 80% of the way from Yellow-town to Green-fields by train

at an average speed of 80 miles per hour. The rest of the way John

traveled by car at an average speed of v miles per hour. If the average

speed for the entire trip was 60 miles per hour, what is v in miles per

hour?

(a) 30

(b) 40

(c) 50

(d) 55

(e) 70

Percentage, Profit and Loss

Kelly used to get a 30% discount on movie tickets. When the price of

the movie ticket increased by 50%, the amount of discount in dollars

remained the same. What is Kelly's discount with the new Ticket price

in percent terms?

a) 10%

b) 20%

c) 25%

d) 35%

e) 38%

Volume

If the volume of a cube is 1 cubic centimeter, then the distance from

any vertex to the centre point inside the cube is

A) 1/2

B) 1/sqrt2

C) sqrt2

D) sqrt3/2

E) sqrt3

Number Theory

For how many two digit positive numbers will tripling the tens digit

give us a two digit number that is triple the original. (Contributed

by: Srinivasan, Hyderabad)

A) None

B) 1

C) 2

D) 3

E) 4

Age Problem Solving

Roy is now 4 years older than Erik and half of that amount older than

Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years

what would be Roy's age multiplied by Iris's age?

a) 8

b) 28

c) 48

d) 50

e) 52

Geometry Problem Solving

A crate measures 8 feet by 16 feet by 24 feet on the inside. A stone

pillar in the shape of a right circular cylinder must fit into the

crate for shipping so that it rests upright when the crate on at least

one of its six sides. what is the radius, in feet, of the pillar with

the largest volume that could still fit in the crate? (Contributed by:

EastHaven)

a) 4

b) 8

c) 12

d) 16

e) 24

Coordinate Geometry

>

> Vertices of a quadrilateral ABCD are A(1,1), B(5,6), C(10,10) and

> D(6,5). What is the shape of the quadrilateral?

>

> A. Square

> B. Rectangle but not a square

> C. Rhombus

> D. Parallelogram but not a rhombus

> E. None of these

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