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KEC International Maths Teacher Interview Questions and Answers

Updated 5 Feb 2024

Q1. What is Diff bw Congruency and Similaraty

Ans.

Congruency and similarity are geometric concepts that involve the comparison of shapes.

  • Congruency refers to two shapes that have the same shape and size.

  • Similarity refers to two shapes that have the same shape but may differ in size.

  • Congruent shapes can be superimposed on each other, while similar shapes can be scaled or transformed to match each other.

  • Congruency is an exact match, while similarity allows for proportional differences.

  • For example, two congruent triangles have ...read more

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Q2. 0 is rational number or not,if yes then why

Ans.

Yes, 0 is a rational number because it can be expressed as a fraction where the numerator is 0 and the denominator is any non-zero integer.

  • A rational number is any number that can be expressed as a fraction.

  • The fraction representing 0 is 0/1 or 0/2 or 0/3, and so on.

  • The denominator can be any non-zero integer.

  • Examples of rational numbers include 1/2, 3/4, -5/7, and 0/1.

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Q3. 22/7 is exact value or approx value of π

Ans.

22/7 is an approximation of the mathematical constant π.

  • 22/7 is a commonly used approximation for π in many mathematical calculations.

  • The actual value of π is an irrational number and cannot be expressed exactly as a fraction.

  • The decimal representation of π goes on infinitely without repeating.

  • Using 22/7 as an approximation for π is accurate enough for most practical purposes.

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Q4. What is Rational Number

Ans.

A rational number is a number that can be expressed as a fraction of two integers.

  • Rational numbers can be positive, negative, or zero.

  • They can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.

  • Examples of rational numbers include 1/2, -3/4, 0, 5, and -2.

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Q5. Why π is irrational number

Ans.

π is irrational because it cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating.

  • An irrational number cannot be expressed as a fraction or a ratio of two integers.

  • π is a transcendental number, meaning it is not the root of any non-zero polynomial equation with integer coefficients.

  • The decimal representation of π goes on forever without repeating or terminating, making it irrational.

  • Proofs of the irrationality of π involve advanc...read more

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Q6. Difference between degree and radiun

Ans.

Degrees and radians are units of measurement for angles.

  • Degree is a unit of measurement for angles, where a full circle is divided into 360 degrees.

  • Radian is another unit of measurement for angles, where a full circle is divided into 2π radians.

  • Degrees are commonly used in everyday life and in most mathematical calculations.

  • Radians are often used in advanced mathematics and physics.

  • To convert from degrees to radians, multiply the degree measure by π/180.

  • To convert from radian...read more

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Q7. Why π is irrational

Ans.

π is irrational because it cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating.

  • Irrational numbers cannot be expressed as a fraction or ratio of two integers.

  • π is a transcendental number, meaning it is not the root of any non-zero polynomial equation with integer coefficients.

  • The decimal representation of π goes on forever without repeating or terminating.

  • Proofs of the irrationality of π involve advanced mathematical concepts s...read more

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