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RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1

February 21, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 5 वैदिक गणित Exercise 5.1.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 8
Subject Maths
Chapter Chapter 5
Chapter Name वैदिक गणित
Exercise Exercise 5.1
Number of Questions 3
Category RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1

प्रश्न 1
ऊर्ध्वतिर्यग्भ्याम सूत्र का उपयोग कर गुणा कीजिए
(i) 101 x 105
(ii) 11 x 15
(iii) 18 x 81
(iv) 121 x 129
हल:
(i) 101 x 105
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q1
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q1a
अभीष्ट गुणनफल 101 x 105 = 1605 प्राप्त होता है।

(ii) 11 x 15
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q1b
अभीष्ट(RBSESolutions.com) गुणनफल 11 x 15 = 165 प्राप्त होता है।

RBSE Solutions

(iii) 18 x 81
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q1c
अभीष्ट गुणनफल 18 x 81 = 1458 प्राप्त होता है।

(iv) 121 x 129
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q1d
अभीष्ट गुणनफल 121 x 129 = 15609 प्राप्त होती

प्रश्न 2
निखिलम् सूत्र का उपयोग कर गुणा कीजिए
(i) 48 x 51
(ii) 27 x 29
(iii) 36 x 34
(iv) 18 x 21
(v) 21 x 22 x 23
(vi) 31 x 28 x 27
(vii) 96 x 97 x 95
(viii) 18 x 18 x 18
(ix) 99 x 90 x 9)
हल:
(i) 48 x 51
आधार = 10
उपाधार = 5 x 10 = 50
उपाधार अंक = 50 ÷ 10 = 5।
उपाधार से विचलन = 48 – 50 = – 2;
51 – 50 = 1
आधार 10 में एक शून्य से(RBSESolutions.com) दाहिने पक्ष में एक अंक ही होगा।
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2
अतः 48 x 51 का अभीष्ट गुणनफल 2448 होगा।

RBSE Solutions

(ii) 27 x 29
आधार = 10
उपाधार = 2 x 10 = 20
उपाधार अंक = 20 ÷ 10 = 2
उपाधार से विचलन = 27 – 20 = 7; 29- 20 = 9
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2a
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2b

अतः 27 x 29 का अभीष्ट गुणनफल 783 होगा।

(iii) 36 x 34
आधार = 10
उपाधार = 3 x 10 = 30
उपाधार अंक = 30 ÷ 10 = 3
उपाधार से विचलन = 36 – 30 = 6; 34 – 30 = 4
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2c
अतः 36 x 34 का अभीष्ट(RBSESolutions.com) गुणनफल 1224 होगी।

(iv) 18 x 21
आधार = 10
उपाधार = 2 x 10 = 20
उपाधार अंक = 20 ÷ 10 = 2
उपाधार से विचलन = 18 – 20 = – 2; 21 – 20 = 1
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2d
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2e
अतः 18 x 21 का अभीष्ट गुणनफल 378 होगा।

RBSE Solutions

(v) 21 x 22 x 23
21, 22, 23 का आधार = 20
विचलन = 1, 2, 3
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2f
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2g
संख्या 21 x 22 x 23 का अभीष्ट गुणनफल 1062) होगा।

(vi) 31 x 28 x 27
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2h
संख्या 31 x 28 x 27 का(RBSESolutions.com) अभीष्ट गुणनफल 23436 होगा।

RBSE Solutions

(vii) 96 x 97 x 95
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2i
संख्या 96 x 97 x 95 का अभीष्ट गुणनफल 88464) होगा।

(viii) 18 x 18 x 18
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2j
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2k
संख्या 18 x 18 x 18 का अभीष्ट गुणनफल 5832 होगा।

RBSE Solutions

(ix) 99 x 99 x 99
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2l
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q2m

प्रश्न 3
ध्वजांक सूत्र का उपयोग कर भाग कीजिए
(i) 3987 ÷ 28
(ii) 5786 ÷ 78
(iii) 7396 ÷ 82
हल:
(i) 3987 ÷ 28
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q3
संकेत – (i) 39 ÷ 2, भागफल का प्रथम अंक = 1, शेषफल = 1
(ii) नया भाज्य 19, संशोधित भाज्य = 19 – 1 x 8 = 11
(iii) 11 ÷ 2 भागफल का दूसरा अंक = 5
परन्तु इससे संशोधित(RBSESolutions.com) भाज्य ऋणात्मक आता है। अतः भागफल का दूसरा अंक = 4, शेषफल =3
(iv) नया भाज्य = 38
संशोधित भाज्य = 38 – 4×8 = 38 – 32 = 6
(v) 62, भागफल का तीसरा अंक = 3
परन्तु इससे संशोधित भाज्य ऋणात्मक आता है।
∴ भागफल का तीसरा अंक = 2, शेषफल = 2
(vi) नया भाज्य = 2
(vii) संशोधित भाज्य = अन्तिम शेषफल = 27 – 2 x 8 = 27 – 16 = 11

RBSE Solutions

(ii) 5786 ÷ 78 
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q3a
संकेत – (i) 57 ÷ 7, भागफल का प्रथम अंक = 8 परन्तु इससे संशोधित भाज्य ऋणात्मक आता है। अतः भागफल का प्रथम अंक = 7, शेषफल = 8
(ii) नया भाज्य = 88, संशोधित भाज्यं = 88 – 7 x 8 = 88 – 56 = 32
(iii) 32 ÷ 7, भागफल का दृसरा अंक = 4, शेषफल = 4
(iv) नया भाज्य = 46, संशोधित(RBSESolutions.com) भाज्य = 46 – 4 x 8 = 46 – 32 = 14 = अन्तिम शेषफल

(iii) 7396 ÷ 82
RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 Q3b
संकेत – (i) 73 ÷ 8, भागफल = 9, शेषफल = 1
(ii) संशोधित भाज्य = 19 – 2 x 9 = 1
(iii) 1 ÷ 8, भागफल = 0 तथा शेषफल = 1
(iv) संशोधित भाज्य = अन्तिम(RBSESolutions.com) शेषफल = 16 – 0 x 2 = 16 – 0 = 16

We hope the RBSE Solutions for Class 8 Maths Chapter 5 वैदिक गणित Ex 5.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 5 वैदिक गणित Exercise 5.1, drop a comment below and we will get back to you at the earliest.

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