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Questions and Answers
Which of the following statements best reflect the most logical and rational inferences that can be made from the passage?
What is the least possible number of cuts required to cut a cube into 64 identical pieces?
In the expression $5 * 4 * 3 * 2 * 1$, if * is chosen from +, -, x each at most two times, what is the smallest non-negative value of the expression?
A certain number of men can complete a piece of work in $6k$ days, where $k$ is a natural number. By what percent should the number of men be increased so that the work can be completed in $5k$ days?
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X, Y, and Z can complete a piece of work individually in 6 hours, 8 hours, and 8 hours respectively. However, only one person at a time can work in each hour and nobody can work for two consecutive hours. What is the minimum amount of time that they will take to finish the work?
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How many consecutive zeros are there at the end of the integer obtained in the product $12 x 24 x 36 x 48 x...x 2550$?
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On January 1st, 2023, a person saved 1. On January 2nd, 2023, he saved 2 more than that on the previous day. At the end of which date was his total savings a perfect square as well a perfect cube?
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Study Notes
Food Loss and Wastage
- According to the Food and Agriculture Organization, one-third of food produced for human consumption is lost or wasted globally.
- Food loss and waste occur throughout the supply chain, from agricultural production to household consumption.
- Food wastage significantly impacts land degradation by about 45%, primarily due to deforestation, unsustainable agricultural practices, and groundwater extraction.
- Wasted food results in approximately 5 billion tonnes of carbon dioxide emissions annually.
- Decaying food releases harmful gases into the atmosphere.
- Addressing food loss and wastage is crucial for achieving food efficiency and sustainability.
Monetary and Fiscal Policies
- Governments are increasing spending to assist households amidst rising inflation.
- Central banks raise interest rates to promote fiscal austerity, aiming to stabilize debts while paying more for borrowing.
- Governments need to reduce spending or increase taxes to maintain stable debts when interest rates rise.
- Monetary policy effectiveness is weakened without fiscal backing.
- Higher interest rates can lead to inflation rather than deflation if governments borrow more to cover increased debt-service costs.
- The risk of monetary policy failure is amplified when public debt rises, as interest rates become more critical to budget deficits.
Cube Cutting
- The least number of cuts required to divide a cube into 64 identical pieces is 6.
Mathematical Expressions
- The smallest non-negative value of the expression 5 * 4 * 3 * 2 * 1, where * can be +, -, or x, used at most twice, is 0.
Work Completion
- X, Y, and Z can complete a task independently in 6, 8, and 8 hours, respectively.
- Working one hour at a time, with no consecutive work for any individual, the minimal time to finish the job is 6 hours 45 minutes.
Consecutive Zeros
- The number of consecutive zeros at the end of the product 12 x 24 x 36 x 48 x ... x 2550 is 50.
Savings and Perfect Squares/Cubes
- A person saves 1 on January 1st, 2023, and increases their savings by 2 each day.
- The total savings will be a perfect square and a perfect cube on January 9th, 2023.
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Description
Test your knowledge on the critical issues of food loss and wastage along with understanding fiscal policies that influence economic stability. This quiz explores the impact of food waste on the environment and the monetary strategies used by governments to combat inflation. Gain insights into the interconnection between food efficiency and fiscal measures.
