Question # 1

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

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47

27

51

14

If the length of a rectangle is 4 times its width, and if its area is 196, what is its perimeter ?

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60

28

35

70

Choose an answer

16 sq.cm

15 sq.cm

60 sq.cm

None of these

Of the following, which value of x produces the greatest value of f(x)?

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-2

-1

1

2

3

Ayesha completed questions 4 - 18 of a mathematics exercise in 30 minutes. At this rate, how long, in minutes, will it take her to complete questions 27 - 55 ?

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59

29

30

58

How many whole bricks 6 × 12 × 24 cm³ will be sufficient to construct a solid cube of minimum size ?

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4

6

8

12

If r, s and t are integers greater than 1, where rs = 15 and st = 33, which of the following must be true?

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t > r > s

s > t > r

r > t > s

s > r > t

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^x

x > 1

x ≠ y

Choose an answer

A

B

C

D

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

If apples cost 3 for 37 cents, find the cost of 1 3/4 dozen apples.

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111 cents

159 cents

259 cents

211 cents

The chairs in the school hall can be set out in 35 equal rows or in 45 equal rows or in 105 equal rows are:

Choose an answer

600

400

40

80

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 product of the integers

Column B

The average of the integers

The sum of 5 consecutive integer is 0

Choose an answer

A

B

C

D

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

Choose an answer

49

52

51

50

A total of 60 drawing note books were sold. If 20 percent of the first 20 sold were in color, 40 percent of the next 30 sold were in color, and 80 percent of the last 10 sold were in color, what percent of the 60 note books were in color?

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30%

40%

60%

20%

The value of (5x + 6)(x + 12) - (5x - 6)(x + 3) is:

Choose an answer

2(5x² + 9x)

14

4

22

A chemical solution contains 8% of acid. If there is 15 ml of acid, what is the volume of the solution ?

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125.5 ml

187.5 ml

225.5 ml

171.5 ml

The average number of goals a team has scored in 7 matches is 8. They averaged 10 goals for the first 3 matches and they scored 5 goals in each of the next tow matches. What is the average score of the last two matches ?

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5 goals

4 goals

6 goals

8 goals

If 2m= 4x and 2w= 8x, what is m in terms of w?

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w - 1

w + 1

2w - 1

2w + 1

How many polythene bags, each holding 8 ounces, are needed to hold 3 quarter of vegetable oil?

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8

12

14

16

A cylinder and the cube have the same volume, if the height, h, of that cylinder is equal to the edge e of the cube, the radius of the cylinder is:

Choose an answer

√π/h

π/h

h/√π

2π/h

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

Choose an answer

2.6π

5.5π

7.6π

1/2 π

Choose an answer

20

24

40

96

If C is the circumference of a circular disk in centimeters, and A is the area of the same circular disk in square centimeter. Then C/A = A/C, iff r =

Choose an answer

1

2

3

4

The cost of manufacturing sports shoes in Macao is 25% less than the cost of manufacturing them in the Philippines. Even after transportation fees and tariff charges are added, it is still cheaper for a company to import sport shoes from Macao to the Philippines than to manufacture sports shoes in the Philippines.

Q:The statements above, if true, best support which of the following assertions?

Choose an answer

Labor costs in Macao are 25% below those in the Philippines

Importing sports shoes from Macao to the Philippines will eliminate 25% of the manufacturing jobs in the Philippines

The tariff on sports shoes imported from Macao to the Philippines is less than 25% of the cost of manufacturing sports shoes in the Philippines

The fee for transporting a pair of sports shoes fromMacao to the Philippines is more than 25% of cost of manufacturing the shoes in Macao

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 the measures of the three angles of an equilateral triangle.

Column B

The average (arithmetic mean) of the measure of the three angles of a right triangle.

Choose an answer

A

B

C

D

The CEO of a large multinational firm wants to maxim:, revenues and increase sales. The production director,however, believes that increased production would only drive down the product would only drive down the product price and lower revenues.

Q: Which of the following represents the logical flaw in director's reasoning?

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The director assumes the plant at the firm is old fashioned

He assumes that production goals are similar to financial goals

He assumes that the supply produced by a single company can significantly after the aggregate supply for the market

He assumes that they are market leader with a share of more than ninety percent of the aggregate sales

The average of a,b,s , and t is 6 and the average of s and t is 3. What is the average of a and b?

Choose an answer

3

18

9

12

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.

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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

People should be held accountable for their own behavior, and if holding people accountable for their own behavior entails capital punishment, then so be it. However, no person should be held accountable for behavior over which he or she had no control.

Q:Which of the following is the most logical conclusion of the argument above?

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People should not be held accountable for the behavior of other people

People have control over their own behavior

People cannot control the behavior of other people

Behavior that cannot be controlled should not be punished

If P represents the area and W represents the circumference of the circle, then P in terms of W is:

Choose an answer

2π/W

4π²/W

2π²/W²

W²/4π

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