Question # 1

If 5x > 2 and 12/2 x ≤ 4, list all the possible integral values of x ?

Choose an answer

2, 3, 4, 5, 6

1, 2, 3, 4, 5, 6, 7, 8

2, 3

1

If A(-2, 3) and B(5, -1) are the endpoints of one side of a square ABCD, what is the area of the square ?

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20

65

30

35

If 4/13 of a number is 39, what is 8/13 of that number ?

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39/4

78

16

39/8

A man present age is x years. If his age in 8 years will be 4/5 of what it will be in 20 years, then his present age is:

Choose an answer

45

25

30

40

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 median of the 5 integers.

Column B

70

The average (arithmetic mean) of 5 positive integers is 70.

Choose an answer

A

B

C

D

IF you have 50 green, 50 orange, and 50 yellow jelly beans, how many bags can you fill Halloween each containing 2 green, 3 orange, and 4 yellow jelly beans?

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12

13

16

17

Gas heater in bedrooms has long been the main cause of home fires. Despite a significant decline in gas heaters in the last two decades, there has been no comparable decline in the number of people killed in home fires.

Q:Each one of the following statements, it true over the last two decades, helps to resolve the apparent discrepancy above EXCEPT:

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Compared to other types of some fires, home fires caused by gas heaters in bedrooms usually cause relatively little damage before they are extinguished

Population densities have increased, with the result that one home fire can cause more deaths than in previous decades

Gas heater users often sleep in the morning

Home fires caused by gas heaters in bedroom often break out after the residents have fallen asleep

Traveling by cars is safer than traveling by planes. Eighty percent of plane accidents result in death of all passengers, while only one percent of car accidents result in death.

Q:Which of the following, if true, would most seriously weaken the argument above?

Choose an answer

Planes are inspected by experienced engineers before flying

The number of car accidents is several thousand times higher than the number of plane accidents

Pilots are more trained than car drivers are

Speed of car is lesser than that of plans nj

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

On a test consisting of 60 problems, Sonia solved 75% of first 40 problems correctly. What percent of the other 20 questions does she need to solve correctly for her grade on the entire exam to be 90% ?

Choose an answer

95%

65%

85 %

cannot achieve 90%

As any economist knows, healthy people pose less of an economic burden to society than unhealthy people. Not ,surprisingly, then, every rupee our government spends prenatal care for undocumented immigrants will save taxpayers of this country three rupees.

Q:Which of the following, if true, would best explain why the statistics cited above are not surprising?

Choose an answer

The taxpayers pay for prenatal care of all immigrants

Pregnant women who do not receive prenatal care are more likely to experience health problems than other pregnant women

Benefits for prenatal care serve to promote undocumented immigration

Babies whose mothers did not receive prenatal care are just as healthy as other babies

A rectangular field which is twice as long as it is broad, has an area of 14450 m² , what is its perimeter ?

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85 m

510 m

165 m

170 m

Two-fifth of a certain number is 30. What is the number ?

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75

25

90

150

In inequality y > 3x - 2 if a > b, then which of the following statement is true ?

Choose an answer

x = 1

x > 1

x < 1

x ≥ 1

The number p is 4 more than 3 times the number r. The sum of p and r is 10.Which of the following pairs of equations could be used to find the values of p and r?

Choose an answer

p = 3r + 4

p + r = 10

p = 3r + 4

pr = 10

p = 3(r +4)

p + r = 10

p + 4 -3r

p + r = 10

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 area of the sector which contains an angle of 60^o of circle of radius 7 cm, is:

Choose an answer

25 2/3 cm²

27 2/3 cm²

41 cm²

√3 5/28 cm²

Choose an answer

50

30

45

40

If the angles of a hexagon are in the ratio 2 : 4 : 4 : 4 : 5 : 5, what is the degree measure of the smallest angle ?

Choose an answer

30

60

40

70

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 remainder when a positive integer is divided by 5.

Column B

5

Choose an answer

A

B

C

D

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

Choose an answer

111 cents

159 cents

259 cents

211 cents

Excavations on the now uninhabited isle of Kelton reveal a scene typical of towns decimated by volcanic ash. Archaeologists have hypothesized that the destruction was due to volcanic activity known to have occurred in the vicinity of the island in 160 B. C.

Q:Which of the following, if true, most strongly supports the archaeologist's' hypothesis?

Choose an answer

No coins minted after 160 B.C. were found in Kelton, but coins minted before that year were found in abundance

Pieces of gold and pearl jewelry that are often found in graves dating from years preceding and following 160 B.C. were also found in several graves on the island.

Most modern histories of the region mention that several major volcanoes eruptions occurred near the island in 160 B.C

Several small jugs carved in styles popular in the region in the century between 200 B.C. and 100 B.C. were found in Kelton

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

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

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

2^5-1

Column B

2⁵ - 1

Choose an answer

A

B

C

D

The average height of five men is 68 inches.If one man is 70 inches tall and three others have an average of 67 inches, the height of the fifth man, in inches, is

Choose an answer

68

69

70

71

What is the value of the function k(x) = x²-2 when x = 7?

Choose an answer

5

9

45

47

51

Choose an answer

50

75

25

65

Choose an answer

22.9π

22.4π

60π

62.3π

In his wardrobe, Tahir has 3 trousers.One of them is black, the second blue, and the third brown. In his wardrobe, he also has 4 shirts. One of them is black and other 3 are white. He open his wardrobe in the dark and picks out one shirt - trouser pair, without examining the color. What is the likelihood that neither the shirt the trouser is black?

Choose an answer

1/12

1/6

1/4

1/3

1/2

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

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