# Number Line Prime Class 6 Solutions Chapter 5

## Number Line Prime Class 6 Solutions Chapter 5 Playing with Numbers

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Number Line Prime Class 6 Math Book, Chapter 5, Playing with Numbers. Here students can easily find step by step solutions of all the problems for Playing with Numbers, Exercise 5A, 5B, 5C, 5D, 5E and 5F Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 5 solutions. Here in this post all the solutions are based on latest Syllabus.

Playing with Numbers Exercise 5A Solution :

Question number – (1)

Solution :

= 18 + 9 – 15 + 3

= 18 + 9 +3 – 15

= 30 – 15

= 15

Question number – (2)

Solution :

= 27 ÷ 3 × 4 – 5

= 9 × 4 – 5

= 36 – 5

= 31

Question number – (3)

Solution :

= 900 + 2000 ÷ 500 × 6

= 900 + 4 × 6

= 900 + 24

= 924

Question number – (4)

Solution :

= 35 + 12 – 4 × 8 ÷ 2

= 47 – 4 × 4

= 47 – 16

= 31

Question number – (5)

Solution :

= 25 × 5 – 12 + 18 ÷ 9

= 125 – 12 + 2

= 125 – 10

= 115

Question number – (6)

Solution :

= 45678 – 3124 + 5670

= 45678 + 5670 + 3124

= 51348 – 3124

= 48,224

Question number – (7)

Solution :

= 881 × 2 + 24 – 12 ÷ 2

= 1762 + 24 – 6

= 1786 – 6

= 1780

Question number – (8)

Solution :

= 65 ÷ 5 × 3 + 17 – 5

= 13 × 3 + 17 – 5

= 39 + 17 – 5

= 56 – 5

= 51

Question number – (9)

Solution :

= 124 × 13 + 16 ÷ 4

= 1612 + 4

= 1616

Question number – (10)

Solution :

= 18 + 10 – 7 × 32 ÷ 1/3 of 24

= 18 + 10 – 7 × 32 ÷ 1/3 × 24

= 18 + 10 – 7 × 32 ÷ 8

= 28 – 7 × 4

= 28 – 28

= 0

Question number – (11)

Solution :

= 9 of 12 – 16 + 32 × 2

= 9 × 12 – 16 + 32 × 2

= 108 + 64 – 16

= 172 – 16

= 156

Question number – (12)

Solution :

= 42 ÷ 7 × 3 + 1/6 of 54 × 5

= 42 ÷ 7 × 3 + 1/6 × 54 × 5

= 6 × 3 + 9 × 5

= 18 + 45

= 63

Playing with Numbers Exercise 5B Solution :

Question no – (1)

Solution :

(a) [7 ÷ (12 – 5)

(b) [(9 + 4) × 6]

(c) [(13 + 12 – (9 – 2)

(d) [(5 × 2) + (18 – 15)]

Question no – (2)

Solution :

(a) 42 – [20 – {19 – (14 – 8 – 4}]

= 42 – [20 – {19 – (14 – 12}]

= 42 – [20 – {19 – 2}]

= 42 – [20 – 17]

= 42 – 3

= 39

(b) 910 – [80 {24 – (77 – 50}]

= 910 – [80 + {34 – 27}]

= 910 – [80 + 7]

= 910 – 87

= 823

(c) 54 + 9 (43 – 26 – 2) ÷ 3

= 54 + 9 (43 – 28) ÷ 3

= 54 + 9 × 15 ÷ 3

= 54 + 135 ÷ 3

= 54 + 45

= 99

(d) 555 + {22 + 343 – (16 ÷ 8 + 13 – 15)}

= 555 + {22 + 343 – (2 + 13 – 15)}

= 555 + {22 + 343 – (15 – 15)

= 555 + 22 + 343

= 920

(e) 91 – [22 – {16 ÷ (39 + 30 of 3 – 40)}]

= 91 – [22 – {16 ÷ 93 + 3 × 3 – 40)}]

= 91 – [22 – {16 ÷ (39 + 9 – 40)}]

= 91 – [22 – {16 ÷ (48 – 40)}]

= 91 – [22 – {16 ÷ 8}]

= 91 – [22 – 2]

= 91 – 20

= 71

(f) 27 + 3 – [29 – {6 ÷ 3 – (5 – 6 ÷ 3) ÷ 3}]

= 30 – [29 – {6 ÷ 3 – (5 – 2) ÷ 3]

= 30 – [29 – {2 – 1}

= 30 – [29 – 1]

= 30 – 28

= 2

Playing with Numbers Exercise 5C Solution :

Question number – (1)

Solution :

= (2, 4), (4, 6), (6, 8), (8, 10), (10, 12), (12, 14), (14, 16), (16, 20), (22, 24), (26, 28)

Question number – (2)

Solution :

Prime numbers are
= 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

Question number – (3)

Solution :

= Co-prime number

= (8, 15), (7, 13), (11, 17), (6, 11)

Question number – (4)

Solution :

Twin prime number –

= (3, 5), (5, 7), (7, 11), (11, 13)

Question number – (5)

Solution :

Yes, composite number can be odd

smallest odd composite number is 9

Question no – (6)

Solution :

(a) 37 + 5 + 3

(b) 7 + 3 + 2

(c) 7 + 5 + 3

(d) 13 + 5 + 3

Question no – (7)

Solution :

(a) 1, 3, 5, 15, 25, 75

(b) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 96

(c) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

(d) 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 100

Question no – (8)

Solution :

(a) (2 × 2 × 2 × 2 × 5) + 1

(b) (2 × 2 × 2 × 5 × 13) + 1

(c) (2 × 3 × 3 × 5) + 1

Question no – (9)

Solution :

Multiples of both 4 and 6 are –

= 12, 24, 36, 48, 60

Question no – (10)

Solution :

(a) 2 × 13 × 7

(b) 2 × 5 × 5 × 17

(c) 2 × 2 × 3 × 5 × 7

(d) 5 × 2 × 2  73

(e) 2 × 2 × 7 × 7 × 13

(f) 5 × 2 × 2 × 2 × 37

Playing with Numbers Exercise 5D Solution :

Question no – (1)

Solution :

(a) Is not divisible by 8

As last three digit is not divisible by 8

(b) Is divisible by 8

As last there digit is divisible by 8

(c) Is not divisible by 8

As formed digit by last time digit is not divisible by 8

(d) Is divisible by 8

Question no – (2)

Solution :

(a) is divisible by 5 but not by 10

(b) is divisible by both 5 and 10

(c) is divisible by both 5 and 10

(d) is divisible by 5 but not by 10

Question number – (3)

Solution :

(a) is divisible by 6 but not by 12 and 15

(b) is divisible by 6 and 12 but not by 15

(c) by 6, 12 and 15

(d) is not divisible by 6, 12 not 15

Question number – (4)

Solution :

(a) 489276

(b) 35541

(c) 998757

(d) 242073

Now sum of all digit can be divisible by 9

So, the number is also divisible by 9

Question number – (5)

Solution :

(a) 38568

(b) 61566

(c) 2456289

(d) 262620

Question no – (7)

Solution :

(a) Divisible by 3 not by 6 –

= 21, 27

(b) Divisible by 12 not by 15 –

= 36, 72

(c) Divisible by 2 not by 8 –

= 18, 14

(d) Divisible by 5 not by 10 –

= 105, 115

Playing with Numbers Exercise 5E Solution :

Question no – (1)

Solution :

HCF by prime factorization number

(a) 324 and 1224 324 = 2 × 2 × 3 × 3 × 3 × 3

1224 = 2 × 2 × 2 × 3 × 3 × 7

HCF = 2 × 2 × 3 × 3

= 36

(b) 578 and 2200 578 = 2 × 17 × 17

2200 = 2 × 2 × 2 × 275

HCF = 2

(c) 82 and 196 82 = 2 × 1 × 41

196 = 2 × 2 × 49

HCF = 2

(d) 42, 56 and 105 42 = 2 × 3 × 7

56 = 2 × 2 × 2 × 7

105 = 3 × 5 × 7

HCF = 7

Question no – (2)

Solution :

(a) 144 and 180 HCF = 36

(b) 2820 and 4884 HCF = 12

(c) 256 and 386 HCF = 2

(d) 154, 1174 and 2066 HCF = 2

Question no – (3)

Solution :

Blue marbles = 18

White marbles = 24 So, Greatest number of column Ankit can make is 6.

Question no – (4)

Solution : So, Maximum number of heaps possible is 4.

Question no – (5)

Solution :

The numbers are –> 35, 62 and 85

And remainders are -> 8, 8 and 4

So, the numbers are –

(35 – 8)

= 27

= 3 × 3 × 3

(62 – 8)

= 54

= 2 × 3 × 3 × 3

(85 – 4)

= 81

= 3 × 3 × 3 × 3

The greatest number is 27

Playing with Numbers Exercise 5F Solution :

Question no – (1)

Solution :

(a) 84 and 156 LCM = 2 × 2 × 3 × 7 × 13

= 1092

(b) 324 and 486 LCM = 2 × 3 × 3 × 9 × 2 × 3

= 972

(c) 48, 96 and 120 LCM = 2 × 2 × 3 × 2 × 2 × 1 × 2 × 5

= 480

Question no – (2)

Solution :

(a) 28 and 86 LCM = 2 × 1 × 14 × 43

= 1204

(b) 51, 17 and 39 LCM = 3 × 17 × 13

= 663

(c) 19, 76, 152 and 228 LCM = 4 × 19 × 2 × 3

= 456

Question no – (3)

Solution :

We know product of two number = HCF × LCM

So, 460 × 232

= 4 × LCM

=> LCM = 450 × 232/4

= 26,680

Question no – (4)

Solution :

Same

540 × 940

= HCF × LCM

=> HCF × 3780

= 540 × 945

=> HCF = 540 × 945/3780

= 135

Question no – (5)

Solution :

Other number × 265 = 5 × 46,905

=> Other number

= 5 × 46,905/265

= 885

Question no – (6)

Solution :

HCF of two co-prime number = 1

So, 1 × 153

= 17 × other number

=> Other number

= 153/17

= 9

Question no – (7)

Solution : LCM = 5 × 37 × 70

= 12,950 So, HCF = 5

Chapter 5 Review Time Questions Solution :

Question no – (1)

Solution :

The correct option is – (a) Odd

Question no – (2)

Solution :

The correct option is – (a) Even

Question no – (3)

Solution :

The correct option is – (b) 2

Question no – (4)

Solution :

The correct option is – (b) 1, 2, 3, 6

Question no – (5)

Solution :

The correct option is – (d) 8

Question no – (6)

Solution :

The correct option is – (a) 1111

Question no – (7)

Solution :

The correct option is – (b) 900

Question no – (8)

Solution :

The correct option is – (c) Co-prime numbers

Question no – (9)

Solution :

The correct option is – (c) The number formed by its last three digit is divisible by 8

Question no – (10)

Solution :

The correct option is – (b) 2

Next Chapter Solution :

Updated: June 21, 2023 — 2:45 pm