Question # 1

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

Choose an answer

16

9

6

3

A bag has 7 marbles, one of each of colours, green, blue, brown, yellow, red, white and pink. If 6 marbles are removed from the bag, what is the probability that the red one was removed ?

Choose an answer

1/7

4/3

2/7

6/7

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 3,4 and 5

^{Column B}

The average (arithmetic mean) of 2,3,7 and 8

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

The product of the integers.

Column B
The average of the integers.

Choose an answer

A

B

C

D

If A > B an C < 0, then which of the following is not true ?

Choose an answer

AC < BC

A + C > B + C

A - C < B - C

All of the above

A square, with perimeter 16, is inscribed in a circle, what is the area of the circle ?

Choose an answer

3π

2√2π

32π

8π

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

Choose an answer

5/6

11/12

1/6

1/12

Choose an answer

54 cm²

24 cm²

96 cm²

59 cm²

In many hospitals, more and more monitoring is being carried out by automated equipment instead of humanemployees who previously carried out the work. This is done in an attempt to save hospital expenses. However, many employees who lose their jobs to automation will need government assistance to get by, and the same corporations that are laying people off will eventually pay for that assistance through increased taxes and unemployment insurance payments.

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

Choose an answer

Most of the new jobs created by automated equipment pay less than the jobs that were eliminated by automated equipment did

Many hospitals that have failed to automate have seen their profits decline

Unemployment insurance and taxes are paid also by corporations that are not automating

Many workers who have already lost their jobs to automated equipment have been unable to find new employment

If circumference of a circle is 3π, then its area is:

Choose an answer

7π/2

9π²

4π²

9π/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

x/y

Column B

y/x

x = 1/3 and y = 1/4

Choose an answer

A

B

C

D

Ahmed has a rectangular garden measuring 4.32m by 3.36m. He wants to divide it into square plots of equal size. What is largest sized square the can use?

Choose an answer

0.24

√3

0.48m

0.16

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

Choose an answer

85 m

510 m

165 m

170 m

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

Choose an answer

60

28

35

70

The total number of eighths in 3 3/4 is:

Choose an answer

15

54

30

24

If x is a positive number, then 50 percent 10x equals

Choose an answer

2x

4x

20x

5 x

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:

Choose an answer

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

If (5^a)(5^b) = 5^c/5^d,what is d in terms of a, b and c ?

Choose an answer

a + b -c

a - b + c

a + b + c

c - a - b

If the ratio of x and y is 11/3, what is the value of 2x to y ?

Choose an answer

11/6

22/6

22/3

11/5

Most citizens are very conscientious about observing a law when they can see the reason behind it. For instance, there has been very little need to actively enforce the recently-Implemented law that increased the penalty for motorists caught leaving a gas station without paying for gas they had pumped into their vehicles. This is because citizens are very concerned about the high cost of gasoline and they know that stealing gas will only further increase the price of gasoline for everyone.

Q:With which of the following statements would the author of this passage be most likely to agree?

Choose an answer

The increased penalty alone is a significant motivation for most citizens to obey the law.

There are still too many inconsiderate citizens in the local community

High gasoline prices can be brought down if everyone does his or her part and pays for the gasoline they use at the pumps

Society should make an effort to teach citizens the reasons for its laws

Win/Loss ratio for two teams are A,5 : 2 and B, 7 : 3 which team has the better record ?

Choose an answer

A

B

both A and B

wrong question

A rectangular is 16 cm long and 10 cm wide.If the length is reduced by k cm and its width is increased also by k cm so as to make it a square then its area changes by:

Choose an answer

169

256

100

9

None of the above

The sum of integers p and q is 352. The units digits of p is 0. If p is divided by 10, the result is equal to q, what is the value of p ?

Choose an answer

30

230

320

32

If a machine can place a cap on a bottle of soda every 0.8 seconds, how many bottles can be capped in 2 hours?

Choose an answer

8000

90000

300

900

In a psychological experiment conducted at South Bay University, groups of men with various levels of education read stories in which people caused harm, some of them doing so intentionally, and some accidentally. When asked about appropriate penalizationfor those who had caused harm, the less educated men, unlike the educated ones, assigned punishments that did not vary according to whether the harm was done intentionally or accidentally. Uneducated men, then, do not regard people's intentions as relevant to penalization.

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

Choose an answer

In these stories, the severity of the harm produced was clearly stated

In interpreting these stories, the listeners had to draw on a relatively feminine sense of human psychology in order to tell whether harm was produced intentionally or accidentally

Relatively uneducated men are as likely to produce harm unintentionally as are more educated men

The more educated men assigned penalization in a way that closely resembled the way women had assign penalization in a similar experiment

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

Choose an answer

5

9

45

47

51

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

Which of the following is the average of x⁴ - 20, 40 - x⁴, and 3x + 4 ?

Choose an answer

x⁴ - 24

x + 8

x⁴ + 3x + 24

x + 24

If P is a negative integer and p²+ 11p =t, a value of t could be

Choose an answer

12

18

-18

11

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

x

^{Column B}

(11/13)⁵

x⁵ = 11/13

Choose an answer

A

B

C

D

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