Question # 1

Sonia buys two off-cuts of ribbon in a sale. One is 153 cm long. The other is 204 cm long. She cuts them so that she ends up with a number of pieces all the same length. What is the greatest length each piece can be ?

Choose an answer

39

6

17

51

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

If the sum of one third of a number and twice the same number is 28, the number is:

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10

12

28

14

Choose an answer

How many two-digit numbers are there which are divisible by 6 ?

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17

18

16

15

If x and y are positive integers and x² + 2y² = 41, 2x² + y² = 34, then x² =

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6

8

75

9

The Positive difference between k and 1/8 is same as the positive difference between 1/2 and 1/3. Which of the following could be the value of K?

Choose an answer

1/7

7/24

23/24

1/6

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

a

Column B

b

(82a = 43b)

Choose an answer

A

B

C

D

Wheat has more nutritional value than rye. But since oats have more nutritional value than rice, it follows that wheat has more nutritional value than rice.

Q:Any of the following, if introduced into the argument as an additional premise, makes theargument above logically correct EXCEPT:

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Wheat and oats have the same nutritional value

Rye has more nutritional value than oats

Rye has more nutritional value than rice

Oats have more nutritional value than whea

Choose an answer

=

<

>

÷

The height of a triangle of base 3 cm and area 9 cm² is:

Choose an answer

6 cm

9 cm

18 cm

22 cm

If the sum of two numbers is 36, and the larger is three times as larger as the smaller, what is the larger number ?

Choose an answer

27

30

15

18

Choose an answer

2 + 3√2

8

4 + 6√2

3 + 2√2

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

3/2√6

Column B

√6/4

Choose an answer

A

B

C

D

Many people especially the experts in the field of forestry are against all forest fires. They demand that all forest fires should be extinguished and let the forest die out by their own. The study of forest fires show that in the long run, forest fires may in fact, be beneficial to the ecology as a whole.

Q:Among the following, which statement would logically follow from one of the observations referred to in the passage above?

Choose an answer

The reason of almost all forest fires is natural

Human beings try to extinguish the fire for gaining heat

Studies indicate that forest fires regularly occurred in the times prior to human occupation of forest areas

The animal and plant life destroyed by forest fires seldom represents endangered species

Occasionally, the small fire prevents a large scale fire by the accumulation of flammable materials

What fractional part of a week is 98 hours ?

Choose an answer

7/98

7/12

1/20

1/7

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

3√5 -√125+ √20

Column B

0

Choose an answer

A

B

C

D

Which of the following inequalities is the solution of the inequality 7a - 5<2a + 18 ?

Choose an answer

a<23

a>13

a≤23

a≥13

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

35

25

10

29

Choose an answer

24

30

35

36

Choose an answer

2535 cm²

2720 cm²

3348 cm²

628 cm²

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

Choose an answer

2(5x² + 9x)

14

4

22

Concrete consists of cement, sand and screenings in the ratio of 1 : 5 : 4, what is the percentage of the sand mixed ?

Choose an answer

10%

40%

50%

60%

Companies in the country of Jilsan sell transistor radios in the country of Kabana at a price that is below what it costs Kabanian companies to produce them. To help those Kabanian companies, the Kabanian legislature plans to set a minimum selling price for transistor radios imported into Kabana from Jilsan that is twelve percent greater than the average production costs for companies in Kabana.

Q:Which of the following, if true, most seriously threatens the success of the plan?

Choose an answer

The annual rate of inflation in Jilsan is expected to exceed twelve percent within the next year

Kabana is not the only country where Jilsan manufacturers currently sell transistor radios

Some Kabanian companies that sell transistor radios have announced that they plan to decrease their price for transistor radios

Emerging companies in countries other than Jilsan will be able to sell transistor radios in Kabana at a price below what it costs Kabanian companies to manufacture them

The cube of 1/2 is:

Choose an answer

1/4

1/8

1/2

1/16

Choose an answer

4

10

Harper's Pencils manufactures and sells the same pencils as Johnson's Supply. Employee wages account for forty percent of the cost of manufacturing pencils at both factories. Harper's is seeking a competitive edge over Johnson's supply. Therefore, to promote this end, Harper's should lower employee wages.

Q:Which of the following, if true, seriously weakens the argument above?

Choose an answer

Because they make a small number of specialty artist's pencils, pencil manufacturers cannot receive volume discounts on raw materials

Lowering wages would reduce the quality of employee work and this reduced quality would leadto lowered sales

Harper's Pencils has taken away twenty percent of Johnson's Supply business over the last year

Johnson's Supply pays its employees, on average, ten percent more than does Harper's Pencils

If a < c and a < b, assume a ≥ 0 then which of the following statements are always true ?

i. b < c

ii. a < bc

iii. 2a < b + c

Choose an answer

only 1

only 2

only 3

1 and 2

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

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-2

-1

1

2

3

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

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2x

4x

20x

5 x

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