Quiz About Almost Integers

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  • 1/11 Questions

    What is an integer?

    • It is numbers ranked between 10 and 9
    • It is numbers ranked between 1 and 9
    • It is a number that can be written without a fractional component
    • It is a number inferior to 100
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About This Quiz

Just like the name indicates, almost integers are numbers that are not integer but very close to one. It is used in several branches of mathematics and you've probably used them or heard of them before. Try our quiz to verify if you have enough knowledge about these numbers.

Quiz About Almost Integers - Quiz

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  • 2. 
    What's a modular form? - ProProfs

    What's a modular form?

    • It is a function on the upper half plane satisfying a certain kind of functional equation

    • It is an analytic function on the upper half plane satisfying a certain kind of functional equation

    • It is a function on the lower half plane satisfying a certain kind of functional equation

    • It is a function on the upper plane satisfying all kinds of functional equation

    Correct Answer
    A. It is an analytic function on the upper half plane satisfying a certain kind of functional equation
    Explanation
    A modular form is defined as an analytic function on the upper half plane that satisfies a specific type of functional equation. This means that the function must meet certain conditions and properties in order to be classified as a modular form. The answer choice "It is an analytic function on the upper half plane satisfying a certain kind of functional equation" accurately describes the definition of a modular form.

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  • 3. 
    What ratios are known to make almost integers? - ProProfs

    What ratios are known to make almost integers?

    • The ratios of Fibonacci

    • The ratios of Mancini

    • The ratios of Newton

    • The ratios of Einstein

    Correct Answer
    A. The ratios of Fibonacci
    Explanation
    The Fibonacci sequence is a mathematical sequence where each number is the sum of the two preceding ones. The ratios between consecutive Fibonacci numbers tend to approach the golden ratio, which is approximately 1.618. This ratio is known to create aesthetically pleasing and harmonious proportions, often found in art, architecture, and nature. Due to the close approximation to whole numbers, the ratios of Fibonacci numbers are considered to make almost integers.

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  • 4. 
    What's a modular form? - ProProfs

    What's a modular form?

    • It is a function on the upper half plane satisfying a certain kind of functional equation

    • It is an analytic function on the upper half plane satisfying a certain kind of functional equation

    • It is a function on the lower half plane satisfying a certain kind of functional equation

    • It is a function on the upper plane satisfying all kinds of functional equation

    Correct Answer
    A. It is an analytic function on the upper half plane satisfying a certain kind of functional equation
    Explanation
    A modular form is defined as an analytic function on the upper half plane that satisfies a certain kind of functional equation. This means that the function must have certain properties and relationships with other functions in order to be considered a modular form. The answer choice "It is an analytic function on the upper half plane satisfying a certain kind of functional equation" accurately describes the definition of a modular form.

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  • 5. 
    What is a mathematical coincidence? - ProProfs

    What is a mathematical coincidence?

    • It is one that occurs when 6 expressions show a near-equation which has no theoretical explanation

    • It is one that occurs when 3 expressions show an equation which has no theoretical explanation

    • It is one that occurs when 2 expressions show a near-equation which has no theoretical explanation

    • It is one that occurs when 4 expressions show a near-equation which has no theoretical explanation

    Correct Answer
    A. It is one that occurs when 2 expressions show a near-equation which has no theoretical explanation
    Explanation
    A mathematical coincidence refers to a situation where two expressions exhibit a near-equation without any underlying theoretical explanation. In other words, it is a coincidence that these two expressions appear to be almost equal without any logical reason or mathematical relationship between them.

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  • 6. 
    What's the particularity of a golden ratio? - ProProfs

    What's the particularity of a golden ratio?

    • It is that it is multiple of 5

    • It is that it is lower than 100

    • It's that it is a Piso-Vijayaraghavan number

    • It is that it is higher than 100

    Correct Answer
    A. It's that it is a Piso-Vijayaraghavan number
  • 7. 
    What is a Pisot-Vijayaraghavan number? - ProProfs

    What is a Pisot-Vijayaraghavan number?

    • It is a real algebraic number greater than 10

    • It is a real algebraic number greater than 5

    • It is a real algebraic number greater than 1

    • It is a real algebraic number greater than 2

    Correct Answer
    A. It is a real algebraic number greater than 1
    Explanation
    A Pisot-Vijayaraghavan number is a real algebraic number greater than 1.

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  • 8. 
    From where did the ratios of Fibonacci originated from? - ProProfs

    From where did the ratios of Fibonacci originated from?

    • Italy

    • Indian mathematics

    • Chinese Algebra

    • Germany

    Correct Answer
    A. Indian mathematics
    Explanation
    The ratios of Fibonacci originated from Indian mathematics. Fibonacci, an Italian mathematician, was introduced to the Fibonacci sequence and its ratios while studying mathematical concepts in India during the 13th century. He then brought this knowledge back to Europe and popularized it through his book "Liber Abaci". The Fibonacci sequence and its ratios have since become well-known and widely studied in mathematics.

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  • 9. 
    What are the well-known examples of almost integers?  - ProProfs

    What are the well-known examples of almost integers? 

    • Logarithms

    • High powers of golden ratio.

    • Fractions

    • Cardinals

    Correct Answer
    A. High powers of golden ratio.
    Explanation
    High powers of the golden ratio are well-known examples of almost integers because as the power of the golden ratio increases, the resulting number gets closer and closer to an integer. The golden ratio, denoted by the symbol φ (phi), is approximately equal to 1.618. When this value is raised to a high power, the decimal part becomes very small, making it almost an integer. This property of the golden ratio is often seen in various mathematical and natural phenomena, such as in the spirals of certain plants and the proportions of ancient Greek architecture.

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  • 10. 
    What's an Eisenstein series? - ProProfs

    What's an Eisenstein series?

    • They are numerical forms with infinite series

    • They are modular forms with infinite series

    • They are particular modular forms with infinite series

    • They are particular modular forms with limited series

    Correct Answer
    A. They are particular modular forms with infinite series
    Explanation
    Eisenstein series are a type of modular forms with infinite series. Unlike other modular forms, which have certain restrictions or conditions, Eisenstein series are specific modular forms that have an infinite series representation. These series play an important role in various areas of mathematics, including number theory and complex analysis.

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  • 11. 
    In which branch of mathematics can they be found? - ProProfs

    In which branch of mathematics can they be found?

    • Algebra

    • Geometry

    • Probabilities

    • Recreational mathematics

    Correct Answer
    A. Recreational mathematics
    Explanation
    Recreational mathematics is a branch of mathematics that focuses on puzzles, games, and mathematical recreations that are not directly related to practical applications. It includes activities like solving puzzles, playing games, and exploring mathematical patterns for the sake of enjoyment and intellectual curiosity. While algebra, geometry, and probabilities are more formal branches of mathematics with practical applications, recreational mathematics is more about exploring the fun and playful side of math.

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  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • May 15, 2018
    Quiz Created by
    Anouchka
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