Rajasthan Board RBSE Class 10 Maths Chapter 1 Vedic Mathematics Ex 1.2

Question 1.

93

Solution

932 = 9(93 + 3)/(3)2

= 9(96)/9 Base = 10

= 864/9 Sub-base = 10 × 9

8649 deviations = + 3

Question 2.

206

Solution

2062 = 2(206 + 06)/(06)2

= 2(212)/36   Base = 100

= 424/36   Sub-base = 100 × 2

= 42436   deviation = +06

Question 3.

211

Solution

2112 =2(211 + 11)/(11)2

= 2(222)121 Base = 100

= 444/121 Sub-base = 100 x 2

= 44521 deviation = +11

Question 4.

405

Solution

4052 = 4(405 + 05)/(05)2

= 4(410) / 25 Base = 100

= 1640 / 25 Sub-base = 100 × 4

= 164025 deviation = +05

Question 5.

16

Solution

Question 6.

31

Solution

Question 7.

24

Solution

Question 8.

56

Solution

By Sutra Ekadhikena Poorvena find the square of the following:

Question 9.

45

Solution

452 = 4 × 5 / 5 × 5 = 20 / 25 = 2025

Question 10.

85

Solution

852 = 8 × 9 / 5 × 5 = 72 / 25 = 7225

Question 11.

115

Solution

1152 = 11 × 12 / 5 × 5 = 132 / 25 = 13225

Question 12.

125

Solution

1252 = 12 × 13 / 5 × 5 = 156 / 25 = 15625

By Sutra Sankaiana – Viyavkalan find the square of the following:

Question 13.

23

Solution

232 = (23 + 3)(23 – 3) + 32

= 26 × 20 + 32

= 520 + 9

= 529

Question 14.

38

Solution

382 = (38 + 8)(38 – 8) + (8)2

= (46 × 30) + 64

= 1380 + 64

= 1444

Question 15.

69

Solution

692 = (69 + 9)(69 – 9) + 92

= (78)(60) + 81

= 4680 + 81

= 4761

Question 16.

89

Solution

892 = (89 + 9)(89 – 9) + 92

= (98)(80) + 81

= 7840 + 81

= 7921

By Dwandwa Yog find the Square:

Question 17.

362

Solution

Writting five digit groups of then number 362 – 3, 36, 362, 62 and 2 and the dwandwa yog of these five digit groups

Question 18.

453

Solution

Five digit groups of the no. 453 – 4, 45, 453, 53 and 3 Dwandwa yog of these groups

Question 19.

4312

Solution

Seven digit group of the number 4312 – 4, 43, 431, 4312, 321, 12 and 2 Dwandwa yog of these groups

Question 20.

2456

Solution

Seven digit group of the number 2456 – 2, 24, 2456, 456 and 6 Dwandwa yog of these groups

Find cube by Sutra Nikhilam

Question 21.

14

Solution

We know that

Question 22.

97

Solution

We know that

Question 23.

27

Solution

base = 10, sub-base = 10 × 2, sub-base digit = 2, deviation = +7

We know that

Question 24.

395

Solution

Here base = 100, sub-base digit = 4, deviation = – 05,

We know that

By Upsutra Anurupyena find the cube of the following:

Question 25.

163

Solution

Question 26.

333

Solution

Question 27.

413

Solution

Question 28.

523

Solution

Find cube by sutra Ekadhikene purvena

Formula: Square of ten’s digit × It’s more than one/square of ten’s place digit × deviation/3 × ten’s digit × (unit digit)2/(unit digit)3.

where deviation = unit digit × 3 – 10

Question 29.

45

Solution

Question 30.

73

Solution

Question 31.

24

Solution

Question 32.

106

Solution

Steps: Deviation = 6 × 3 ~ 10 = 8