Time and Work Problem

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Questions and Answers

If 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?

  • 15 (correct)
  • 12
  • 16
  • 18

Assumptions: Employees do not need to go through the purchasing department to order office supplies and furniture.

Electronic equipment must be ordered through the Purchasing Department.

Only orders going through the Purchasing Department require signed approval before they can be placed.

Conclusion: Signed approval must be obtained for ordering desks.

If the assumptions are true, is the conclusion:

  • Incorrect (correct)
  • Correct
  • N/A
  • Cannot be determined

If it takes you the same amount of time to wash 30 cups as it does to wash 45 plates, how many cups could you wash in the same amount of time it takes to wash 15 plates?

  • 10 cups (correct)
  • 5 cups
  • 15 cups
  • 23 cups

Which of the following is the opposite of the word "biased"?

<p>Objective (C)</p> Signup and view all the answers

What is the next number in the sequence: 17, 31, 45, 59

<p>73 (B)</p> Signup and view all the answers

Jelly is to jar as money is to

<p>vault (B)</p> Signup and view all the answers

Assumptions: Customer 2 and Customer 1 each buy Products W and Y.

Product U is always sold to the same customers who buy Product W.

Conclusion: Product U is sold to Customers 2 and 1.

If the assumptions are true, is the conclusion:

<p>Correct (C)</p> Signup and view all the answers

Agenda is to meeting as itinerary is to

<p>trip (C)</p> Signup and view all the answers

What is the next number in the sequence: 10, 13, 9, 14, 8

<p>15 (A)</p> Signup and view all the answers

Which number has the lowest value?

<p>1/3 - 1/4 (B)</p> Signup and view all the answers

Which of the following is the opposite of the word "manufacture"?

<p>consume (C)</p> Signup and view all the answers

Lena is scheduling 35 part-time employees to complete a project. Of those employees, 1/5 work mornings only, 10 work only afternoons, and the rest alternate between mornings and afternoons. If Lena plans on using all of her morning only staff, 1/2 of her afternoon only staff, and 1/3 of her remaining staff, how many people will Lena schedule?

<p>18 (C)</p> Signup and view all the answers

Assumptions: Hardcover books are shipped 3 days after an order is placed.

Soft cover books always take at least 1 day less than hardcover books to ship after the order is placed.

Special apparel orders take as long as or longer than hardcover books to ship after the order is placed.

Conclusion: Special apparel orders take longer to ship than soft cover books.

If the assumptions are true, is the conclusion:

<p>Correct (C)</p> Signup and view all the answers

What is the next number in the sequence: 59, 38, 21, 17, 4

<p>2 (C)</p> Signup and view all the answers

Which number has the lowest value?

<p>1/3 + 0.10 (A)</p> Signup and view all the answers

Which of the following is the pposite of the word "expense*?

<p>income (B)</p> Signup and view all the answers

Which number has the lowest value?

<p>1/5 (D)</p> Signup and view all the answers

Assumptions: Some team leads In the Engineering Department work on the 10th floor and the remainder work on the 9th floor.

Employees from various departments work on the 10th floor.

Conclusion: Some employees in the Engineering Department work on the same floor as employees from other departments.

If the assumptions are true, is the conclusion:

<p>Correct (C)</p> Signup and view all the answers

What is the next number in the sequence : 2, 3, 5, 8, 13

<p>21 (B)</p> Signup and view all the answers

Thirsty is to drink as exhausted is to:

<p>rest (A)</p> Signup and view all the answers

Which number has the lowest value?

<p>1 + 0.2 - 0.4 (A)</p> Signup and view all the answers

What is the next number in the sequence: 4, 7, 11, 16, 22

<p>29 (A)</p> Signup and view all the answers

Which of the following is the opposite of the word "rigorous"?

<p>lenient (D)</p> Signup and view all the answers

All together, 3 people have 120 coins. Mark has 3 times as many as Joel, and Joel has 1/2 as many as Sandra. How many coins does Sandra have?

<p>40 (D)</p> Signup and view all the answers

Assumptions: Many people who live in Area 2 drive to work and some walk to work.

All people who live in Area 1 either ride the bus to work or drive to work.

Conclusion: No one in Area 1 walks to work.

If the assumptions are true, is the conclusion:

<p>Correct (B)</p> Signup and view all the answers

What is the next number in the sequence: 1, 4, 9, 16, 25, 36

<p>49 (B)</p> Signup and view all the answers

Which of the following is the opposite of the word "moderate"?

<p>extreme (A)</p> Signup and view all the answers

Enter is to exit as climb is to:

<p>descend (C)</p> Signup and view all the answers

In previous months, you ordered 80 boxes of pens per month. This month, you want to decrease the number of boxes of pens you order by 40%. How any boxes should you order this month?

<p>48 (A)</p> Signup and view all the answers

You take 4 hours to put together 32 units. How many hours would it take you to put together 56 units?

<p>7 hours (B)</p> Signup and view all the answers

Assumptions: All employees in Department A attend the sales training program.

Some employees in Department A attend the technical training program.

Some employees who attend both training programs are in Department B.

Conclusion: All employees who attend the sales training program and who attend the technical training program are in Department A.

If the assumptions are true, is the conclusion:

<p>Incorrect (A)</p> Signup and view all the answers

Which number has the lowest value?

<p>6/8 (C)</p> Signup and view all the answers

CHOOSE

<p>B (B)</p> Signup and view all the answers

Flashcards

Time per part

Each part takes 2.5 minutes to make (20 minutes / 8 parts).

Time for 6 parts

It takes 15 minutes to make 6 parts; each part requires 2.5 minutes.

Purchasing dept. order

Office supplies do not require a purchasing department order, but electronic equipment does.

Product sales link

Product U is consistently sold with Product W; therefore, customers buying W are also sold U.

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Sequence: 17, 31, 45, 59,...

Next number is 73. The sequence increases by 14.

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Sequence: 10, 13, 9, 14, 8,...

Next number is 11. The sequence alternates between adding and subtracting.

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Sequence: 59, 38, 21, 17, 4,...

Next number is -9. The sequence follows a decreasing pattern.

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Sequence: 2, 3, 5, 8, 13,...

Next number is 21. The sequence follows the Fibonacci formula.

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Sequence: 4, 7, 11, 16, 22,...

Next number is 29. The sequence increases incrementally.

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Sequence: 1, 4, 9, 16, 25, 36,...

Next number is 49; a sequence of perfect squares.

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Sandra's coins

Sandra has 60 coins, twice Joel's amount.

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Jelly is to jar as...

Money is to wallet or bank.

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Agenda relates to meeting as...

Itinerary relates to travel.

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Opposite of biased

"Unbiased" is the opposite of "biased."

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Opposite of manufacture

"Consume" is the antonym of "manufacture."

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Opposite of expense

The opposite of "expense" is "income."

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Opposite of moderate

"Extreme" is the antonym of "moderate."

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Opposite of rigorous

"Lenient" is the opposite of "rigorous."

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Boxes ordered

Ordering 48 boxes means a 40% reduction from 80 boxes.

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Time for 56 units

Task needs 7 hours for 56 units based on proportional scaling.

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Morning workers

7 employees work mornings (1/5 of 35).

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Study Notes

Time Calculation and Work Assessment

  • 8 parts require 20 minutes, leading to 2.5 minutes per part.
  • To make 6 parts, it would take 15 minutes (6 parts * 2.5 minutes).

Office Supplies and Order Approval

  • Office supplies do not require a purchasing department order.
  • Electronic equipment must be processed through the purchasing department.
  • Approval is needed for purchasing when orders go through the department.

Conclusion on Product Sales

  • Product U is consistently sold to customers who purchase Product W.
  • Therefore, if two customers buy Products W and Y, Product U is also sold to those two customers.

Sequence Problems

  • For sequences:
    • 17, 31, 45, 59: Next number is 73 (increase by 14).
    • 10, 13, 9, 14, 8: Next number is 11 (alternating addition and subtraction).
    • 59, 38, 21, 17, 4: Next number is -9 (decreasing pattern).
    • 2, 3, 5, 8, 13: Next number is 21 (Fibonacci sequence).
    • 4, 7, 11, 16, 22: Next number is 29 (increasing pattern).
    • 1, 4, 9, 16, 25, 36: Next number is 49 (perfect squares).

Coin Distribution Problem

  • Total of 120 coins among 3 people: Mark, Joel, and Sandra.
  • Mark has 3 times more coins than Joel, and Joel has half of Sandra's coins.
  • Sandra has 60 coins since she must hold twice what Joel has.

Assumptions and Conclusions

  • Conclusion regarding walking to work based on areas must be evaluated under given assumptions.
  • Certain training programs may have overlapping employees, leading to specific conclusions about attendance.

Word Relationships

  • Jelly is to jar as money is to wallet or bank.
  • Agenda relates to meeting just as itinerary relates to travel.
  • Antonyms identified include:
    • "Biased" opposite is "unbiased."
    • "Manufacture" opposite is "consume."
    • "Expense" opposite is "income."
    • "Moderate" opposite is "extreme."
    • "Rigorous" opposite is "lenient."

Reductions and Estimations

  • A plan to reduce pen orders by 40% from 80 boxes means ordering 48 boxes this month.
  • A task taking 4 hours for 32 units translates to 7 hours for 56 units (proportional increase).

Employee Scheduling

  • Lena's scheduling breakdown includes:
    • 1/5 of 35 employees work mornings, meaning 7 work mornings.
    • 10 work afternoons, with the remaining 18 alternating.
    • Utilizing all morning, half of afternoon, and one-third of alternating results in a total scheduled workforce.

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