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CBSE Class 10 Maths Chapter 1 - Real Numbers Formula
Students can solve NCERT Class 10 Maths Real Numbers MCQs with Answers to know their preparation level. Class 10 Maths MCQs Chapter 1 Real Numbers. 1. The decimal form of \(\frac{}{2^{2} 5^{7} 7^{5}}\) is (a) terminating (b) non-termining (c) non-terminating non-repeating (d) none of the above. Answer.� If you have any query regarding CBSE Class 10 Maths Chapter 1 Real Numbers Multiple Choice Questions with Answers, drop a comment below and we will get back to you at the earliest. Filed Under: Uncategorized. Get Revision Notes of Class 10th Mathematics Chapter 1 Real Numbers to score good marks in your Exams. Our notes of Chapter 1 Real Numbers are prepared by Maths experts in an easy to remember format, covering all syllabus of CBSE, KVPY, NTSE, Olympiads, NCERT & other Competitive Exams.� and Caicos Islands (+) Tuvalu (+) Uganda (+) Ukraine (+) United Arab Emirates (+) United Kingdom (+44) United state Miscellaneous Pacific Islands (+1) United States of America (+1) Uruguay (+) Uzbekistan (+) Vanuatu (+) Vatican City (+) Venezuela . Class 10 Maths important MCQs for Chapter 1- Real Numbers are provided here with answers and detailed solutions.

Basic definition of even divisible by 2 and odd numbers not divisible by 2 and the fact that addition and multiplication of integers is always an integer are applicable here.

Let x be any positive integer. When we divide x by 6, the remainder is either 0 or 1 or 2 or 3 or 4 or 5. So, x can be written as. Thus, we have the following cases:. CASE I:. CASE V:. So, we have the following cases:. Thus, we have. Justify your answer. By Euclid's Lemma,. Use Euclid's division algorithm to find the HCF of.

Use Euclid's division algorithm to find the HCF. Find the largest number which divides and leaving remainder 6 in each case. Using Euclid's division algorithm, find the largest number that divides , and leaving remainders 1, 2 and 3 respectively.

There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went in each trip? Here, is a factor of so HCF is Euclid's algorithm works since Dividing 'a' by 'b', replacing 'b' by 'r' and 'a' by 'b' and repeating the process of division till remainder 0 is reached, gives a number which divides a and b exactly.

Note that do not find the HCF using prime factorisation in this question when the method is specified and do not skip steps. Numbers are of two types - prime and composite. Prime numbers has only two factors namely 1 and the number itself whereas composite numbers have factors other than 1 and itself. The given expression has 7 and 16 as its factors.

Therefore, it is a composite number. Find the least number that is divisible by all the numbers between 1 and 10 both inclusive. Prove that is an irrational number. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. Hence, write the decimal expansion, without actual division. A rational number in its decimal expansion is What can you say about the prime factors of q, when this number is expressed in the form?

Give reasons. Factorisation of can be done as follows. So, the correct option is a. If p and q are co-prime numbers then. We know that decimal expansion of a rational number is either terminating or non-terminating and recurring.

If n is any natural number, then 6 n - 5 n always ends with. For some integer m, every even integer is of the form. Hence, correct option is c. For some integer q, every odd integer is of the form. Hence, correct option is d. Now, when n is odd, i. The decimal expansion of the rational number will terminate after. The least number that is divisible by all the numbers from 1 to 10 both inclusive is. The largest number which divides 70 and , leaving remainders 5 and 8, respectively, is.

If the HCF of 65 and is expressible in the form 65m - , then the value of m is. The decimal expansion of the rational number will terminate after:. Enter the OTP sent to your number Change. Resend OTP. Don't miss this! Ok Cancel. Ok Choose Chapter. Ok Choose Topic. Yes No.

Choose Subjects. Choose Chapters. Chapter 1 - Real Numbers Exercise Ex. Question 2. Question 3. Question 4. For any positive integer n, prove that n 3 - n divisible by 6. Question 5. Question 6. Question 7. Question 8. Question 9. Question Question 1 ii. Question 1 iii. Question 1 iv.

Question 1 v. Question 1 vi. Question 1 vii. Question 1 viii. Question 1 ix. Question 1 x. Question 2 i. Use Euclid's division algorithm to find the HCF of: and Since the divisor at this stage is 45, therefore, the HCF of and is Question 2 iv. Use Euclid's division algorithm to find the HCF of , and Question 2 v. Use Euclid's division algorithm to find the HCF , and Question 3 i. Question 3 ii. Find H. Question 3 iii. Question 3 iv.

Question 2 ii. Question 2 iii. Therefore, the given expression has 5 and as its factors. Hence, it is a composite number. Concept Insight: Definition of prime numbers and composite numbers is used. Do not miss the reasoning. Check whether 6 n can end with the digit 0 for any natural number n.

So 5 is not a prime factor of 6 n. Hence, for any value of n, 6n will not be divisible by 5.

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