NCERT Solutions for Real Numbers Exercise 1.4 Class 10 Maths

Exercise 1.4 Class 10 Maths NCERT Solutions: NCERT Solutions for Class 10 Maths Chapter 1 Exercise 1.4 are based on Real Numbers and is an incredibly effective tool for students to revise rational numbers and decimal expansion. NCERT Solutions Class 10 Maths Chapter 1 Exercise 1.4 consists of 3 questions in the exercise of the NCERT Solutions Real Numbers Exercise 1.4 Class 10. Hence, students can quickly solve these problems.
The solutions are created as per the CBSE’s latest guidelines by Embibe’s subject matter experts to help students get a deep understanding of Exercise 1.4 Chapter 1 Real Numbers. Students can access the Chapter 1 Exercise 1.4 Class 10 Maths solutions in detail. Continue reading the article to access the solutions in PDF format for.

NCERT Solutions for Class 10 Maths Ex 1.4: Overview

Students can go through the below table to get an overview of the Exercise 1.4 Chapter 1 Real Numbers:

NCERT Solutions for Class 10 Maths Chapter 1 Ex 1.4: Download PDFs

In this article, all of the NCERT Solutions for Class 10 Maths are solved according to the latest CBSE guidelines. Exercise 1.4 Chapter 1 Real Numbers Solutions provides in-depth analysis to help students to improve their preparation levels and time management skills, which in turn helps them score good marks in the final examination.

Students can access the Chapter 1 Exercise 1.4 Class 10 Maths solutions in PDF format for and prepare well for their final examination. Find the step-wise question and answer solutions in PDF format.

NCERT Solutions for Class 10 Maths Exercise 1.4: Important Questions

The following is the list of important questions from Chapter 1 Exercise 1.4 Class 10 Maths:

• Write the general form of an even integer.
• Find the largest integer which divides 245 and 1029 leaving the remainder 5 in each case.
• Write the form in which every odd integer can be written taking t as the variable.
• If the HCF of 408 and 1032 is expressible in form 1032y – 408×5, then find y.
• What would be the value of n for n²–1 divisible by 8.
• Two tankers contain 650 litres and 1170 litres of petrol respectively. Find the maximum capacity of a tanker which can measure the petrol of either tanker an exact number of times.
• State whether 7 × 11 × 13 + 7 is a composite number or a prime number.
• A bookseller purchased 117 books out of which 45 books are of mathematics and the remaining 72 books are of Physics. Each book has the same size. Mathematics and Physics books are to be packed in separate bundles and each bundle must contain the same number of books. Find the least number of bundles which can be made for these 117 books.
• Is 5.131131113… a rational number or an irrational number?
• In a seminar, the number of participants in English, Maths, and Science is 175, 140, and 105, respectively. Find the minimum number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject.
• Find the value of m if HCF of 65 and 117 is expressible in form 65m – 117.
• What can you say about the product of a non-zero rational and irrational number?
• In a school, there are two sections of Class 10 – Section A and Section B. There are 48 students in Section A and 54 students in Section B. Determine the least number of books required for the library of the school so that the books can be distributed equally among students of Section A or Section B?
• After how many places the decimal expansion of 13497/1250 will terminate?
• Find the least number which is divisible by all numbers from 1 to 10 (both inclusive). 
• Find the HCF of 56, 96, and 324 by Euclid’s algorithm.
• Show that the cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3 for some integer m.
• Prove that √3 is an irrational number.
• State fundamental theorem of Arithmetic and hence find the unique factorisation of 120.

NCERT Solutions for Class 10th Maths Chapter 1: Extra Questions

The following is the list of extra questions from Class 10th Maths Chapter 1:

• Write the form in which every odd integer can be written taking t as the variable.
• What would be the value of n for n² – 1 divisible by 8.
• If a = 4q + r then what is the condition for a and q. What are the values that r can take?
• If n is an odd integer then show that n² – 1 is divisible by 8.
• Use Euclid’s division algorithm to find the HCF of 16 and 28.
• Show that the square of any odd integer is of form 4m + 1, for some integer m.
• Show that the square of any positive integer is either of the form 4q or 4q + 1 for some integer q.
• Show that the cube of any positive integer is of the form 4m, 4m +1 or 4m +3 for some integer m.
• Find the HCF of 56, 96, and 324 by Euclid’s algorithm. (Answer: 4)
• Show that any positive odd integer is of form 6q +1, 6q + 3 or 6q + 5, where q is some integer.
• Prove that the square of any positive integer is of the form 5q, 5q + 1, 5q + 4 for some integer, q.
• Prove that the product of three consecutive positive integers is divisible by 6.
• For any positive integer n, prove that n³ – n is divisible by 6.
• Show that one and only one of n, n + 2, n +4 is divisible by 3.
• Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 is divisible by 5, where n is any positive integer.
• Show that 12^n cannot end with the digit 0 or 5 for any natural number n.
• Without actual performing the long division, find if 395/10500 will have terminating or non-terminating (repeating decimal expansion.)
• A rational no in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form of p/q? Give reasons.
• What is the smallest number by which √5 – √2 is to be multiplied to make it a rational number? Also, find the number so obtained?
• Find one rational and one irrational no between √3 and √5.
• Show that the square of any odd integer is of form 4m + 1, for some integer m.
• Show that the square of any positive integer is either of the form 4q or 4q + 1 for some integer q.
• Find HCF and LCM of 56 and 112 by the prime factorization method. 
• Solve √45 × √20 and state what type of number is this (Rational number or irrational number).

Benefits of Studying from Embibe’s NCERT Solutions for Class 10 Maths Chapter 1

The following are the list of advantages students attain while solving NCERT Solutions at Embibe:

• NCERT Solutions for Class 10 Maths Chapter 1 is created by Embibe’s subject-matter experts which provides a deep understanding of the chapter.
• The questions are solved in a simple, easy and understandable manner for students to get a good hold of concepts clearly.
• Exercise 1.4 Chapter 1 Real Numbers is solved in a step-by-step format to help students understand the answers easily and be able to solve them in their final exam.
• To assist students with their preparations, a full assessment of topics and important questions related to exercise are offered, with the marks and weightage of each question.
• Students can make use of the NCERT solutions to improve their last-minute preparation and revisions.
• The NCERT Solutions Class 10th Maths Chapter 1 is provided in the form of PDFs and in-text solutions for students to download for and use efficiently.
• With deep analysis and understanding of the NCERT Chapter 1 Exercise 1.4 Class 10 Maths Solutions PDF, students are also provided with the chapter wise mock tests to practice better for their examination.

FAQs on NCERT Solutions for Real Numbers Ex 1.4 Class 10 Maths

The following are the most frequently asked questions on NCERT Exercise 1.4 Chapter 1 Real Numbers Solution:

Q.1: How many exercises are there in NCERT Class 10th Maths Chapter 1?
Ans: There are 4 exercises in the NCERT Class 10th Maths Chapter 1.

Q.2: Where can I download the NCERT Solutions Chapter 1 Exercise 1.4 Class 10 Maths?
Ans: Students can access the NCERT Chapter 1 Exercise 1.4 Class 10 Maths Solutions for at Embibe.

Q.3: Is NCERT Chapter 1 Exercise 1.4 Class 10 Maths difficult? 
Ans: The questions in Chapter 1 Exercise 1.4 Class 10 Maths is of moderate level, with proper practice students can easily understand the exercise. For detailed analysis, students can access the NCERT Solutions Chapter 1 Exercise 1.4 Class 10 Maths at Embibe. 

Q.4: Where can I get chapter-wise class 10 Maths NCERT solutions mock test series for practice?
Ans: Students can solve the chapter-wise class 10 Maths NCERT solutions mock test series at Embibe for.

Q.5: How do NCERT Solutions help in solving Chapter 1 Real Numbers Exercise 1.4?
Ans: Chapter 1 Real Numbers Exercise 1.4 Maths can be easily understood with Embibe’s NCERT Solutions. These solutions are created by Embibe’s subject matter experts to help students get a detailed understanding of the chapter and help them prepare for their final exams.

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We hope the above article has answered all your queries regarding NCERT Solutions for Class 10 Maths Real Numbers Chapter 1 Excercise 1.4. Practise is the best way to get better at Maths, so make sure you practise enough questions. Embibe wishes you good luck and all the best.

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