RBSE Solutions for Class 9 Maths Chapter 1 Vedic Mathematics Ex 1.3 is part of RBSE Solutions for Class 9 Maths. Here we have given RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 1 Vedic Mathematics Ex 1.3.

Board |
RBSE |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 1 |

Chapter Name |
Vedic Mathematics |

Exercise |
Ex 1.3 |

Number of Questions Solved |
20 |

Category |
RBSE Solutions |

## RBSE Solutions for Class 9 Maths Chapter 1 Vedic Mathematics Ex 1.3

**Find a product by using Sutra Ordhva- tiryagbhyam or by Sutra vertically and crosswise.**

Question 1.

486 x 26

Solution:

Question 2.

403 x 218

Solution:

Question 3.

906 x 246

Solution:

Question 4.

744 x 314

Solution:

**Find the square of the following numbers by Dvanda yoga method or Duplex process.**

Question 5.

44

Solution:

(44)^{2} = (4)^{2} / 2 x 4 x 4 / (4)^{2}

= 16/32/16

= 16 /_{3 }2 /_{1} 6

= 16 /_{3} 3 / 6

= 1936

Question 6.

368

Solution:

(368)^{2}

= (3)^{2} / 2 x 3 x 6/ 2 x 3 x 8 + 6^{2}/2 x 6 x 8 / (8)^{2}

= 9 / 36 / 84 / 96 / 64

= 9 / 36 / 84 / 96 /_{6} 4

= 9 / 36 / 84 /_{10} 2 / 4

= 9 / 36 /_{9} 4 / 2 / 4

= 9 /_{4} 5 / 4 / 2 / 4

= 135424

Question 7.

1234

Solution:

(1234)^{2}

= (1)^{2} / 2 x (1 x 2) / 2 x (1 x 3) + 2^{2} / 2 x (1 x 4) + 2 x (2 x 3) / 2 x (2 x 4) + 3^{2} / 2 x (3 x 4) / (4) ^{2}

= 1 / 4 / 6 + 4 / 8 + 12 / 16 + 9 / 24 / 16

= 1 / 4 / 10 / 20 / 25 / 24/ 16

= 1 / 4 /_{1} 0 /_{2} 0 /_{2} 5 /_{2} 4 /_{1} 6

= 1 / 4 /_{1} 0 /_{2} 0 /_{2} 5 /_{2} 5 / 6

= 1 / 4 /_{1} 0 /_{2} 0 /2 7 / 5 / 6

= 1 / 4 /_{1 }0 /_{2 }2 / 7 / 5 / 6

= 1 / 5 / 2 / 2 / 7 / 5 / 6

= 1522756

Question 8

2781

Solution:

(2781)^{2}

= (2)^{2} / 2 x (2 x 7) / 2 x (2 x 8) + 7^{2} / 2 x (2 x 1) + 2 x (7 x 8) / 2 x (7 x 1) + 8^{2} / 2 x (8 x 1) / (1)^{2} = 4 / 28 / 32 + 49 / 4 + 112 / 14 + 64 / 16 / 1

= 4 / 28 / 81 / 116 / 78 / 16 / 1 = 4 /_{2} 8 /_{8} 1 / _{11 }6 /_{7} 8 /_{1} 6 / 1

= 4 /_{2} 8 /_{8} 1 /_{11} 6 /_{7} 9 / 6 / 1

= 4 /_{2} 8 /_{8} 1 /_{12} 3 / 9 / 6 / 1

= 4 /_{2} 8 /_{9} 3 / 3 / 9 / 6 / 1

= 4 /_{3}7/3/3/9/6/1 =7/7/3/3/9/6/1 = 7733961

**Calculate square root of the following numbers by Dvanda yoga method or Duplex process**

Question 9.

23409

Solution:

Therefore (RBSESolutions.com) square root of 23409 = 153

Steps:

(i) 2 – (1)^{2} = 1, New dividend = 13

Divisor =1 x 2 = 2

(ii) New dividend =13

Adjusted dividend =13 – 1 x 2 = 11

(iii) 11÷2, Quotient digit = 5, Remainder = 1

(iv) New dividend = 14

Adjusted dividend = 14 – 2 x 2 x 2 = 14 – 8 = 6

(v) 6 ÷ 2 = 3, Remainder = 0

(vi) Final remainder = 9 – 3² = 0

Question 10.

189225

Solution:

Therefore (RBSESolutions.com) square root of 189225 = 435

Steps:

(i) 18 – (4)² =, 2 New dividend = 29

Divisor = 4 x 2 = 8

(ii) 29 ÷ 8, Quotient digit = 3

Remainder = 5

(iii) New dividend = 52

Adjusted dividend = 52 – (3)²

= 52 – 9 = 43

(iv) 43 ÷ 8, Quotient digit = 5,

Remainder = 3

(v) New (RBSESolutions.com) dividend = 32, Adjusted dividend

= 32 – Dvanda yoga of 35

= 32 – 3 x 5 x 2 = 2

(vi) Final remainder

= 25 – (Dvanda yoga of 350)

= 25 – (5)² = 0

Question 11.

389376

Solution:

Therefore square (RBSESolutions.com) root of 389376 = 624

Steps:

(i) 38 – (6)² = 2, New dividend = 29

Divisor = 6 x 2 = 12

(ii) 29 ÷ 12, Quotient digit = 2,

Remainder = 5

(iii) New dividend = 53

Adjusted dividend = 53 – 2² = 49

(iv) 49 ÷ 12, Quotient digit = 4,

Remainder = 1

New dividend = 17 and remainder

= 17 – 2 x 4 x 2 = 1

New dividend =16 and (RBSESolutions.com) final remainder

= 16 – 4² = 0

Question 12.

1156

Solution:

Therefore (RBSESolutions.com) square root of 1156 = 34

Steps:

(i) 11 – (3)² = 11 – 9 = 2

New dividend = 25

Divisor 3 x 2 = 6

(ii) 25 ÷ 6, Quotient digit = 4,

Remainder = 1

(iii) Final remainder = 16 – (4)²

= 16 – 16 = 0

**Divide the following by Dhwajanka method**

Question 13.

4532 ÷ 112

Solution:

Therefore (RBSESolutions.com) quotient = 40

Remainder = 52 Steps:

(i) 4 ÷ 1, Quotient digit = 4,

Remainder digit = 0

(ii) New Dividend = 05

Dividend adjusted = 5 – 4 x 1 = 1

(iii) 1 ÷ 1, Quotient digit = 1,

Remainder = 0

(iv) New dividend = 13

Dividend adjusted

= 13 – (2 x 4 + 1 x 0)

= 13 – 8 = 5

(v) 5 ÷ 1, Quotient (RBSESolutions.com) digit = 5,

Remainder = 0

(vi) Last remainder = 2

Question 14.

1234 ÷ 42

Solution:

Therefore quotient = 29 and remainder = 16

Question 15.

98765 ÷ 87

Solution:

Therefore quotient = 1135 and remainder = 20

Steps:

(i) 9 ÷ 8, Quotient digit = 1,

Remainder digit = 1

(ii) New dividend = 18

Adjusted dividend

= New dividend – quotient digit x Dhwajank

= 18 – 1 x 7

(iii) 11 ÷ 8, Quotient digit = 1

Remainder = 3

(iv) New (RBSESolutions.com) quotient = 37

Adjusted quotient = 37 – 1 x 7 = 30

(v) 30 ÷ 8, Quotient digit = 3,

Remainder = 6

(vi) New quotient = 66

Adjusted quotient = 66 – 7 x 3

= 66 – 21 = 45

(vii) 45 ÷ 8, Quotient digit = 5,

Remainder = 5

(viii) New quotient = 55,

Remainder = 55 – 7 x 5 = 20

Question 16.

2101532 ÷ 879

Solution:

Quotient = \(240\bar { 9 } \) = 2390

Remainder = 832 – 81 – 29 = 722

**Divide the following by Paravartya yojayet method:**

Question 17.

1154 ÷ 103

Solution:

Quotient = 11, remainder = 21

Question 18.

1358 ÷ 113

Solution:

Quotient =12, (RBSESolutions.com) remainder = 2

Question 19.

1432 ÷ 88

Solution:

Quotient =16, remainder = 24

Question 20.

14885 ÷ 123

Solution:

Quotient = 121, remainder = 02

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