Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 6 Mathematics 3. Playing with Numbers to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 6 Mathematics 3. Playing with Numbers to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 3.6. Whether you are studying for board exams or mid-term exams, 6 Mathematics Chapter 3. Playing with Numbers solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsExercise -3.6
Q1. Find the H.C.F. of the following numbers:
(f) 34, 102
Solutions:
Prime factorization of 34
= 2 × 17
Prime factorization of 102
= 2 × 3 × 17
HCF of 34 and 102 is 2 × 17
= 34
(g) 70, 105, 175
Solution:
Prime factorization of 70
= 2 × 5 × 7
Prime factorization of 105
= 3 × 5 × 7
Prime factorization of 175
= 5 × 5 × 7
H.C.F. (70, 105, 175)
= 5 × 7
= 35
(h) 91, 112, 49
Solution:
Prime factorization of 91
= 7 × 13
Prime factorization of 112
= 2 × 2 × 2 × 2 × 7
Prime factorization of 49
= 7 × 7
H.C.F. (91, 112, 49) = 7
(i) 18, 54, 81
Solution:
Prime factorization of 18
= 2 × 3 × 3
Prime factorization of 54
= 2 × 3 × 3 × 3
Prime factorization of 81
= 3 × 3 × 3 × 3
H.C.F. = 3 × 3 = 9
(j) 12, 45, 75
Solution:
Prime factorization of 12
= 2 × 2 × 3
Prime factorization of 45
= 3 × 3 × 5
Prime factorization of 75
= 3 x 5 x 5
H.C.F. = 1 × 3
= 3
Q2. What is the H.C.F. of two consecutive:
(a) numbers?
(b) even numbers?
(c) odd numbers?
Solution:
(a) H.C.F. of two consecutive numbers be 1.
(b) H.C.F. of two consecutive even numbers be 2.
(c) H.C.F. of two consecutive odd numbers be 1.
Q3. H.C.F. of co-prime numbers 4 and 15 was found as follows by factorization:
4 = 2 × 2 and
15 = 3 × 5 since there is no common prime factor, so H.C.F. of 4 and 15 is 0. Is the answer correct? If not, what is the correct H.C.F.?
Solution: No. The correct H.C.F. is 1.
Exercise 3.6 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 6 Mathematics Chapter 3. Playing with Numbers solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 6 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 3. Playing with Numbers. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 3.6 include complete solutions for 6 Mathematics Chapter 3. Playing with Numbers exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 3. Playing with Numbers. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 3.6 are useful for both board exams and mid-term exams. For 6 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 3.6 for 6 Mathematics Chapter 3. Playing with Numbers are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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