Please refer to Real Numbers HOTs Class 10 Mathematics provided below with Real Numbers. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

**Real Numbers Class 10 Mathematics HOTs**

**Questions of 1 mark**

**Question.****Given HCF of (16, 100) = 4. find L.C.M of (16, 100).**

## Answer

400

**Question.****What is the maximum no. of factors of a prime number?**

## Answer

2

**Question.** Write if 343/28 is a terminating or non-terminating repeating decimal without doing actual division.

## Answer

Non terminating & repeating decimal

**Question.** Write a rational no. between √2 and √3 .

## Answer

2/3

**Question.** If x and y are two irrational numbers then tell whether x + y is always irrational or not.

## Answer

Not, x + y may be rational

**Question.** Tell whether the prime factorization of 15 is 1X 3 X 5 or not.

## Answer

Not, 15=3X5

**Question.****Write the sum of exponents of prime factors of 98.**

## Answer

1+2=3

**Question.** What is the L.C.M of x and y if y is a multiple of x?

## Answer

y

**Question.** Express 0.03 as a rational number in the form of p/q.

## Answer

1/10

**Question.****State if (√2 – √3)( √2 + √3) is rational or irrational.**

## Answer

rational