# RS Aggarwal Solutions for Class 8 Chapter 5 - Playing with Numbers Exercise 5B

Our experts have solved the RS Aggarwal Solutions for a better understanding of the concepts and also ensures that the students are thorough with their basic concepts by practicing the solutions. Students can refer and download RS Aggarwal Solutions for Class 8 Maths Chapter 5- Exercise 5B, Playing with Numbers from the links provided below. In Exercise 5B of RS Aggarwal Class 8 Maths, we shall study various Tests of Divisibility.

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Q1. Test the divisibility of each of the following numbers by 2:

i. 94

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 4 which is divisible by 2

âˆ´the given number 94 is divisible by 2

ii. 570

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 0 which is divisible by 2

âˆ´the given number 570 is divisible by 2

iii. 285

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 5 which is not divisible by 2

âˆ´the given number 285 is not divisible by 2

iv. 2398

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 8 which is divisible by 2

âˆ´the given number 2398 is divisible by 2

v. 79532

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 2 which is divisible by 2

âˆ´the given number 79532 is divisible by 2

vi. 13576

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 6 which is divisible by 2

âˆ´the given number 13576 is divisible by 2

vii. 46821

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 1 which is not divisible by 2

âˆ´the given number 46821 is not divisible by 2

viii. 84663

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 3 which is not divisible by 2

âˆ´the given number 84663 is not divisible by 2

ix. 66669

Solution: we know that if the unit place digit is divisible by 2 then our given number is divisible by 2.

Here, the unit place of the given number is 9 which is not divisible by 2

âˆ´the given number 66669 is not divisible by 2

Q2. Test the divisibility of each of the following numbers by 5:

i. 95

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 5 which is divisible by 5

âˆ´the given number 95 is divisible by 5

ii. 470

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 0 which is divisible by 5

âˆ´the given number 470 is divisible by 5

iii. 1056

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 6 which is not divisible by 5

âˆ´the given number 1056 is not divisible by 5

iv. 2735

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 5 which is divisible by 5

âˆ´the given number 2735 is divisible by 5

v. 55053

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 3 which is not divisible by 5

âˆ´the given number 55053 is not divisible by 5

vi. 35790

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 0 which is divisible by 5

âˆ´the given number 35790 is divisible by 5

vii. 98765

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 5 which is divisible by 5

âˆ´the given number 98765 is divisible by 5

viii. 42658

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 8 which is not divisible by 5

âˆ´the given number 42658 is not divisible by 5

ix. 77990

Solution: we know that if the unit place digit is divisible by 5 then our given number is divisible by 0 or 5.

Here, the unit place of the given number is 0 which is divisible by 5

âˆ´the given number 77990 is divisible by 5

Q3. Test the divisibility of each of the following numbers by 10:

i. 205

Solution: we know that if the unit place digit is divisible by 10 i.e. the unit place is having the value 0 then given number is divisible by 10.

Here, the unit place of the given number is 5 which is not divisible by 10

âˆ´the given number 205 is not divisible by 10

ii. 90

Solution: we know that if the unit place digit is divisible by 10 i.e. the unit place is having the value 0 then given number is divisible by 10.

Here, the unit place of the given number is 0 which is divisible by 10

âˆ´the given number 90 is divisible by 10

iii. 1174

Solution: we know that if the unit place digit is divisible by 10 i.e. the unit place is having the value 0 then given number is divisible by 10.

Here, the unit place of the given number is 4 which is not divisible by 10

âˆ´the given number 1174 is not divisible by 10

iv. 57930

Solution: we know that if the unit place digit is divisible by 10 i.e. the unit place is having the value 0 then given number is divisible by 10.

Here, the unit place of the given number is 0 which is divisible by 10

âˆ´the given number 57930 is divisible by 10

v. 60005

Solution: we know that if the unit place digit is divisible by 10 i.e. the unit place is having the value 0 then given number is divisible by 10.

Here, the unit place of the given number is 5 which is not divisible by 10

âˆ´the given number 60005 is not divisible by 10

Q4.Test the divisibility of each of the following numbers by 3:

i. 83

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 11, which is not divisible by 3

âˆ´the given number 83 is not divisible by 3

ii. 378

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 18, which is divisible by 3

âˆ´the given number 378 is divisible by 3

iii. 474

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 15, which is divisible by 3

âˆ´the given number 474 is divisible by 3

iv. 1693

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 19, which is not divisible by 3

âˆ´the given number 1693 is not divisible by 3

v. 20345

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 14, which is not divisible by 3

âˆ´the given number 20345 is not divisible by 3

vi. 67035

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 21, which is divisible by 3

âˆ´the given number 67035 is divisible by 3

vii. 591282

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 27, which is divisible by 3

âˆ´the given number 591282 is divisible by 3

viii. 903164

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 23, which is not divisible by 3

âˆ´the given number 903164 is not divisible by 3

ix. 100002

Solution: we know that the sum of digits of the number is divisible by 3 then the number is divisible by 3.

Sum of the digits is 3, which is divisible by 3

âˆ´the given number 100002 is divisible by 3

Q5.Test the divisibility of each of the following numbers by 9:

i. 327

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 12, which is not divisible by 9

âˆ´the given number 327 is not divisible by 9

ii. 7524

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 18, which is divisible by 9

âˆ´the given number 7524 is divisible by 9

iii. 32022

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 9, which is divisible by 9

âˆ´the given number 32022 is divisible by 9

iv. 64302

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 15, which is not divisible by 9

âˆ´the given number 64302 is not divisible by 9

v. 89361

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 27, which is divisible by 9

âˆ´the given number 89361 is divisible by 9

vi. 14799

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 30, which is not divisible by 9

âˆ´the given number 14799 is not divisible by 9

vii. 66888

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 36, which is divisible by 9

âˆ´the given number 66888 is divisible by 9

viii. 30006

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 9, which is divisible by 9

âˆ´the given number 30006 is divisible by 9

ix. 33333

Solution: we know that the sum of digits of the number is divisible by 9 then the number is divisible by 9.

Sum of the digits is 15, which is not divisible by 9

âˆ´the given number 33333 is not divisible by 9

Q6. Test the divisibility of each of the following numbers by 4:

i. 134

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 34, which is not divisible by 4

âˆ´the given number 134 is not divisible by 4

ii. 618

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 18, which is not divisible by 4

âˆ´the given number 618 is not divisible by 4

iii. 3928

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 28, which is divisible by 4

âˆ´the given number 3928 is divisible by 4

iv. 50176

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 76, which is divisible by 4

âˆ´the given number 50176 is divisible by 4

v. 39392

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 92, which is divisible by 4

âˆ´the given number 39392 is divisible by 4

vi. 56794

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 94, which is not divisible by 4

âˆ´the given number 56794 is not divisible by 4

vii. 86102

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 02, which is not divisible by 4

âˆ´the given number 86102 is not divisible by 4

viii. 66666

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 66, which is not divisible by 4

âˆ´the given number 66666 is not divisible by 4

ix. 99918

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 18, which is not divisible by 4

âˆ´the given number 99918 is not divisible by 4

x. 77736

Solution: we know that if the number formed by last two digits of a given number is divisible by 4 then the whole number is divisible by 4.

The number formed by the last two digits is 36, which is divisible by 4

âˆ´the given number 77736 is divisible by 4

Q7. Test the divisibility of each of the following numbers by 8:

i. 6132

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 132, which is not divisible by 8

âˆ´the given number 6132 is not divisible by 8

ii. 7304

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 304, which is divisible by 8

âˆ´the given number 7304 is divisible by 8

iii. 59312

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 312, which is divisible by 8

âˆ´the given number 59312 is divisible by 8

iv. 66664

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 664, which is divisible by 8

âˆ´the given number 66664 is divisible by 8

v. 44444

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 444, which is not divisible by 8

âˆ´the given number 44444 is not divisible by 8

vi. 154360

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 360, which is divisible by 8

âˆ´the given number 154360 is divisible by 8

vii. 998818

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 818, which is not divisible by 8

âˆ´the given number 998818 is not divisible by 8

viii. 265472

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 472, which is divisible by 8

âˆ´the given number 265472 is divisible by 8

ix. 7350162

Solution: we know that if the number formed by last three digits of a given number is divisible by 8 then the whole number is divisible by 8.

The number formed by the last three digits is 162, which is not divisible by 8

âˆ´the given number 7350162 is not divisible by 8

## RS Aggarwal Solutions for Class 8 Maths Chapter 5- Exercise 5B

Exercise 5B of RS Aggarwal Class 8, Playing with Numbers contains the basic concepts related to Numbers. This exercise mainly deals with the advanced concepts related to numbers which include Test of Divisibility by 2, 3, 9, 5, 10, 4, 8, 7,11. The main idea about the Test of Divisibility is to check if all the given numbers are divisible by the respective divisor or not.

The RS Aggarwal Solutions can help the students practice diligently while learning the fundamentals as it provides all the answers to the questions from the RS Aggarwal textbook. Students are suggested to practice the problems on a regular basis which will help them excel in their exams and increase their overall percentage. Practicing as many times as possible helps in upgrading time management skills and also boosts the confidence level to score high marks.