Question # 1

The slope of the line passing through (-b, b) and (3b, a) is 1 and b ≠ 0, which of the following is an expression for a in terms of b ?

Choose an answer

1/4b

3b

5b

2b

4b

What percent of 75 is x ?

Choose an answer

3/4 - x

4/3 x

4x

3x

The smallest 4-digit number using 7, 0, 8 and 9 is:

Choose an answer

0879

0789

0978

7890

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

Value of x when N = 1

Column B

Value of x when N = 3

(x = 3^N/N)

Choose an answer

A

B

C

D

If a circle is inscribed in a square of area 4, then the area of the circle is:

Choose an answer

π

π/2

π/4

3π/4

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

The average (arithmetic mean) of 15,215,415

Column B

The average (arithmetic mean) of 0,15,215,413

Choose an answer

A

B

C

D

The average of five numbers is 54. If three of the numbers are 26, 28 and 30, what is the average of the other two ?

Choose an answer

91

93

54

186

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

5 ∇ 4

Column B

1/2 ∇ 2/5

x ∇ y = x/y + y/x

Choose an answer

A

B

C

D

Choose an answer

7

15

25

35

The tanneries claim that chemical waste dumps pose no threat to people living near them. If this is true, then why do they locate the plants in sparsely populated regions? By not locating the chemical dumps in densely populated areas the tanneries tacitly admits that these chemicals are potentially dangerous to the people living nearby.

Q:Which of the following, if true, would most weaken the author's argument?

Choose an answer

Funding through the environmental Super Fund to clean up poorly run waste dumps is reserved for rural areas only

Until chemical dumps are proven 100% safe, it would be imprudent to locate them were they could potentially do the most harm.

Locating the dumps in sparsely populated areas is less expensive and involves less government red tape

The potential for chemicals to leach into the water table has in the past been underestimated

People in cities are more likely to site the industry if their health is harmed by the drumps

The average of even integers from 2 to 100 inclusive is:

Choose an answer

49

52

51

50

A man bought 20 used laptops at $200 each, 9 at $300 each, and 6 at $100 each. Find the average price per laptops

Choose an answer

$250.55

$208.57

$400.50

$380

Although most of the lucrative jobs in Pakistan willequire a college degree, many of the new jobs require knowledge other than that gained in college or university. For workers in those jobs, good basic skills in reading, communication, and mathematics play an important role in getting a job and developing a career.

Q:From the information given above it can be validly concluded that, in today's economy.

Choose an answer

Employment agencies should conduct communication and mathematics classes

All colleges and universities are worthless

People should train their children for technical work

Skills in reading, communication, and mathematics play an important role in developing a successful career

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

0/√8

Column B

1

Choose an answer

A

B

C

D

The smallest member of set W is:

Choose an answer

0

1

2

3

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

y/x

Column B

x/y -1

x = 2y

Choose an answer

A

B

C

D

(a + b)(a - b) =

Choose an answer

a(a - b) - b(a - b)

a(b - a) + b(a - b)

a(a + b) - b(b + a)

a(a - b) + b(b - a)

How many 1cm square pieces of paper can Rachael cut from a square sheet of paper with a side length of 2.1 m?

Choose an answer

22100 cm²

44100 cm²

27100 cm²

36100 cm²

Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer ?

Choose an answer

11

12

15

13

In some cities, many potters have been winning acclaim as artists. But since pottery must be useful, potters must exercise their craft with an eye to the practical utility of their product. For this reason, pottery is not an art.

Q:Which of the following is an assumption that supports drawing the conclusion above from the reason given for that conclusion?

Choose an answer

Some plates, bowl and vessels are made to be placed in museums where they will not be used by anyone

Some potters are more concerned than ()filers with the practical utility of the products they produce

Potters should be more concerned with the practical utility of their products than they currently are

An object is not an art object if its maker pays attention to the objects' practical utility

Two trains start simultaneously towards each other from two points A and B separated by a distance of 1200 miles.Train leaving A moves at an average speed of 80 miles per hour while train leaving B moves at an average speed of 120 miles per hour. After how much time will both trains meet and what distance would be covered by the train leaving A by then?

Choose an answer

15 hours, 1200 miles

10 hours, 800 miles

6 hours, 480 miles

12 hours, 960 miles

In solving an arithmetic example, Lubna, by mistake multiplied by 6 instead of dividing by 6. If her answer was 13 1/5, what should be the correct answer to the example?

Choose an answer

2 8/11

5/66

2 1/5

11/30

If x is a positive number and x2 + 36 = 100, what is the value of x ?

Choose an answer

6

8

14

64

Uzma is 15 years old. Asma is one third older then Uzma. How many years ago when Asma was twice as old as Uzma is ?

Choose an answer

5

12

15

10

If 81¹⁰ = 3^x-7 , what is the value of x ?

Choose an answer

47

27

51

14

In a city 90% of the population own a car, 15% own a motorcycle, and everybody owns one or the other or both. What is the percentage of motorcycle owners to who own cars ?

Choose an answer

15%

5%

75%

33 1/3%

If x > y, then (x - y)(x + y) is :

Choose an answer

equal to (x-y)(x-y)

less than (x-y(x-y)

greater than (x-y)(x-y)

options A and C

Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in.

A.If the quantity in column A is greater.

B.If the quantity in column B is greater.

C.If the two quantities are equal.

D.If the relationship cannot be determined from the information given.

Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B.

Column A

The average (arithmetic mean) of -3,1,and 3

Column B

The average (arithmetic mean) of -3,2, and 3

Choose an answer

A

B

C

D

What is the average of 3¹⁰ , 3²⁰ and 3³⁰ ?

Choose an answer

3⁵⁹

3⁹ + 3¹⁹ + 3²⁹

3⁵⁷

3¹¹ + 3²¹ + 3³¹

One sixth of a day is what part of the time between 3 p.m. Monday and 3 p.m Thursday of the same week?

Choose an answer

1/10

1/18

1/15

1/12

If x² + y² = 9 and (x - y)² = 3, what is the value of xy ?

Choose an answer

16

9

6

3

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