Class 10th Math Real Numbers Quiz
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Questions and Answers

The HCF of 26 and 191 is ……………..number

prime

Product of two consecutive integers is always divisible by…………………

2

If a=9, b=12 then HCF(a,b) × LCM(a,b ) = ……..

108

Product of HCF and LCM of two numbers=……………

<p>Product of numbers</p> Signup and view all the answers

Ie`k …… sMiKAw hY[

<p>pUrn</p> Signup and view all the answers

HCF of 39 and 91 is: (a) 15 (b) ______ (c) 19 (d) 11

<p>13</p> Signup and view all the answers

If p and q are integers and is represented in the form of p/q,where q≠0 then the number is a: (a) pUrn sMiKAw/ Whole number (b) pirmyX sMiKAw/ ______ (c)pRikriqk sMiKAw/ Natural number (d) ApirmyX sMiKAw / Irrational number

<p>Rational number</p> Signup and view all the answers

The product of two different irrational numbers is always: (a) vwsqivk sMiKAw / rational number (b) Avwsqivk sMiKAw / irrational number (c) pRikriqk sMiKAw/ Natural number (d) auprokਤ iv`coN koeI nhIN / none of above

<p>Irrational number</p> Signup and view all the answers

The HCF of two coprime numbers is always: (a) 0 (b) ______ (c) 2 (d) greater than 2

<p>1</p> Signup and view all the answers

Which number is the sum of rational and irrational number excluding zero ?(a) pUrn sMiKAw / Whole number (b) pirmyX sMiKAw / Rational number (c)pRikriqk sMiKAw / Natural number (d) ਅpirmyX sMiKAw/ irrational number

<p>Irrational number</p> Signup and view all the answers

Flashcards

What is the HCF (Highest Common Factor) of 26 and 191?

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number has exactly two distinct positive divisors: 1 and itself. To find the HCF, you need to find the greatest common factor of the two given numbers.

What is the product of two consecutive integers always divisible by?

Consecutive integers are integers that follow each other in order. For example, 5 and 6 are consecutive integers. The product of two consecutive integers will always be divisible by 2 because one of the numbers must be even.

If a = 9 and b = 12, what is the value of HCF(a, b) × LCM(a, b)?

The HCF (Highest Common Factor) of two numbers is the greatest number that divides both of them without leaving a remainder. The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both of them. For any two numbers, the product of their HCF and LCM is equal to the product of the numbers themselves.

What's the relationship between the product of two numbers and the product of their HCF and LCM?

The HCF (Highest Common Factor) of two numbers is the greatest number that divides both of them without leaving a remainder. The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both of them. For any two numbers, the product of their HCF and LCM is equal to the product of the numbers themselves.

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What kind of number is a number that can be represented as p/q, where q ≠ 0?

A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0. This includes whole numbers, fractions, terminating decimals, and repeating decimals.

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What is the HCF of two coprime numbers?

The HCF (Highest Common Factor) of two numbers is the greatest number that divides both of them without leaving a remainder. Coprime numbers have no common factors other than 1.

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What is the product of two different irrational numbers?

The product of two irrational numbers is always an irrational number unless one of the numbers is the square root of a perfect square. An irrational number is a number that cannot be expressed as a simple fraction.

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What type of number is the sum of a rational and irrational number, excluding zero?

An irrational number is a number that cannot be expressed as a simple fraction. A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0. The sum of a rational and irrational number is always irrational.

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What is the product of two different irrational numbers?

A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0. This includes whole numbers, fractions, terminating decimals, and repeating decimals.

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What is the HCF of two coprime numbers?

The HCF (Highest Common Factor) of two numbers is the greatest number that divides both of them without leaving a remainder. Coprime numbers have no common factors other than 1.

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Study Notes

Properties of HCF and LCM

  • The product of HCF and LCM of two numbers is always equal to the product of the numbers.
  • HCF(a, b) × LCM(a, b) = ab, where a and b are two numbers.

HCF of Numbers

  • The HCF of 26 and 191 is 1.
  • The HCF of 39 and 91 is 13.

Properties of Integers

  • The product of two consecutive integers is always divisible by 2.

Types of Numbers

  • A number of the form p/q, where q ≠ 0, is a rational number.
  • A rational number is not a whole number.
  • The product of two different irrational numbers is not always rational.
  • The sum of a rational and an irrational number (excluding zero) is an irrational number.

Properties of Coprime Numbers

  • The HCF of two coprime numbers is always 1.

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Description

Test your understanding of real numbers with this quiz for Class 10th Math Simplified Material (2023-24). Each question carries one mark, covering topics like finding highest common factor and identifying different types of numbers.

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