02PS1 - Problem Solving Techniques: Técnicas Genéricas

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Questão 1 de 13

(02PS1-1)

0.4375 =

A

7/16

B

17/32

C

33/64

D

63/128

E

127/256

Questão 2 de 13

(02PS1-2)

If 35% of company A's employees work full-time, and if there are 1,800 more part-time employees than full-time employees, what is the total number of employees in company A?

A

2,150

B

2,400

C

4,300

D

6,000

E

10,000

Questão 3 de 13

(02PS1-4)

When 32 is divided by positive integer n, the remainder is n - 8. Which of the following could be the value of n?

A

12

B

16

C

20

D

24

E

28

Questão 4 de 13

(02PS1-5)

If x is an integer and y = 3x + 1, which of the following CANNOT be a divisor of y ?

A

4

B

5

C

6

D

7

E

8

Questão 5 de 13

(02PS1-6)

The expression pn denotes p to the power of n, if both p and n are positive integers. If n is a positive integer, and k + 5 = 3n, which of the following could NOT be a value of k ?

A

-2

B

4

C

76

D

238

E

729

Questão 6 de 13

(02PS1-7)

If n and p are both integers greater than 1, and n³ is divisible by p², which of the following could be the value of np ?

A

27

B

33

C

42

D

55

E

85

Questão 7 de 13

(02PS1-8)

✱✱

X ✱☼

The product of the two-digit numbers above is the three-digit number ✱❂☼, where ✱, ❂, and ☼, are three different nonzero digits. Which of the following could be the value of ✱❂☼?

A

123

B

132

C

213

D

231

E

312

Questão 8 de 13

(02PS1-10)

Andy, Bridget, Carmen, and Diana are CEOs who read a lot. This year, Andy read 2/3 more books than Bridget. Bridget read 4/5 as many books as Carmen, and Carmen read 20% more books than Diana. If Diana read 25 books this year, how many books did Andy read this year?

Dica: você pode transformar um número percentual em sua forma fracionária simplesmente usando uma fração com numerador 100. Exemplo: 20% = 20/100.

Dica extra: se você preferir, você pode simplificar a fração 20/100 dividindo por 20 tanto o numerador quanto o denominador. Dessa forma, 20% = 20/100 = 1/5. (Futuramente, pedirei para você memorizar esse e outros resultados equivalentes para você ganhar tempo na hora da prova.)

A

16

B

24

C

25

D

30

E

40

Questão 9 de 13

(02PS1-11)

Abbey, Boris, and Carol invested the same amount of dollars in the stock market last year. Abbey got a return on investment that was 8/9 of Boris's return on investment. Boris got a return on investment that was 50% greater than Carol's return on investment. If Carol's return on investment was 12%, what was Abbey's return on investment?

A

5 1/3%

B

10 2/3%

C

12%

D

16%

E

18%

Questão 10 de 13

(02PS1-12)

Mary left her will granting 4/7 of her money to her only child, Alba, 2/5 to her sister, Brenna, and the remaining $25,000 to charity. How many dollars did her only child receive?

A

125,000

B

175,000

C

350,000

D

500,000

E

875,000

Questão 11 de 13

(02PS1-13)

Kora, Mandy, Nandy and Oprah live in the same city and go to the same school. Kora's house is exactly in the midpoint between Mandy's house and the school, the school is exactly in the midpoint between Nandy's house and Kora's house, and Nandy's house is in the midpoint between Oprah's house and Kora's house. If the distance between Kora's house and Mandy's house is 500 meters, what is the distance, in meters, between Oprah's house and the school?

A

500

B

1,000

C

1,500

D

2,000

E

2,500

Questão 12 de 13

(02PS1-14)

A farmer cleared 80 percent of his land for planting. Of the cleared land, 30 percent was planted with rice and 50 percent was planted with corn. If the remaining 480 acres of cleared land was planted with wheat, how many acres did the farmer own?

A

1,800

B

2,400

C

3,000

D

3,200

E

4,000

Questão 13 de 13

(02PS1-15)

When L liters of fuel were added to a tank that was already 1/4 full, the tank was filled to 6/7 of its capacity. In terms of L, what is the capacity of the tank, in liters?

A

23L/28

B

23L/17

C

23L/14

D

28L/17

E

28L/23

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02PS1 - Problem Solving Techniques: Técnicas Genéricas

Clique no botão abaixo para começar.

(02PS1-1) 0.4375 =

(02PS1-2) If 35% of company A's employees work full-time, and if there are 1,800 more part-time employees than full-time employees, what is the total number of employees in company A?

(02PS1-4) When 32 is divided by positive integer n, the remainder is n - 8. Which of the following could be the value of n?

(02PS1-5) If x is an integer and y = 3x + 1, which of the following CANNOT be a divisor of y ?

(02PS1-6) The expression p**n denotes p to the power of n, if both p and n are positive integers. If n is a positive integer, and k + 5 = 3**n, which of the following could NOT be a value of k ?

(02PS1-7) If n and p are both integers greater than 1, and n³ is divisible by p², which of the following could be the value of np ?

(02PS1-8) ✱✱ X ✱☼ The product of the two-digit numbers above is the three-digit number ✱❂☼, where ✱, ❂, and ☼, are three different nonzero digits. Which of the following could be the value of ✱❂☼?

(02PS1-12) Mary left her will granting 4/7 of her money to her only child, Alba, 2/5 to her sister, Brenna, and the remaining $25,000 to charity. How many dollars did her only child receive?

(02PS1-14) A farmer cleared 80 percent of his land for planting. Of the cleared land, 30 percent was planted with rice and 50 percent was planted with corn. If the remaining 480 acres of cleared land was planted with wheat, how many acres did the farmer own?

(02PS1-15) When L liters of fuel were added to a tank that was already 1/4 full, the tank was filled to 6/7 of its capacity. In terms of L, what is the capacity of the tank, in liters?