## Class 6 RS Aggarwal Chapter 3 – Whole Numbers Solutions

RS Aggarwal Solutions for Class 6 Maths Chapter 3 Whole Numbers are provided here. To prepare well for the exam and gain excellent marks, students need to practice RS Aggarwal Solutions for Class 6 Maths. By practising textbook questions, students will come to understand in detail the topics which are mentioned in this chapter, and this would boost their self-confidence.

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## Exercise 3A PAGE NO: 45

**1. Write the next three whole numbers after 30999.**

**Solution**

31000, 31001 and 31002 are the next three whole numbers after 30999

**2. Write the three whole numbers occurring just before 10001**.

**Solution**

To find three whole numbers just occurring before 10001.Subtract 1 from each number

10001 â€“ 1 = 10000

10000 â€“ 1 = 9999

9999 â€“ 1 = 9998

Hence 10000, 9999 and 9998 are the numbers occurring just before 10001

**3. How many whole numbers are there between 1032 and 1209?**

**Solution**

To find the whole numbers between 1032 and 1209

(1209 â€“ 1032) â€“ 1 = 177 â€“ 1

= 176

Hence 176 is the whole number between 1032 and 1209

**4. Which is the smallest whole number?**

**Solution**

Since all natural numbers considering 0 are whole numbers

Hence 0 is the smallest whole number

## Exercise 3B PAGE NO: 48

**1. Fill in the blanks to make each of the following a true statement:**

**(i) 458 + 639 = 639 +â€¦â€¦ (ii)864 + 2006 = 2006 + â€¦â€¦.**

**(iii)1946 + â€¦. = 984 + 1946 (iv) 8063 + 0 = â€¦â€¦â€¦.**

**(v) 53501 + (574 + 799) = 574 + (53501 + â€¦..)**

**Solutions**

(i) 458 + 639 = 639 + 458

(ii) 864 + 2006 = 2006 + 864

(iii) 1946 + 984 = 984 + 1946

(iv) 8063 + 0 = 8063

(v) 53501 + (574 + 799) = 574 + (53501 + 799)

**2. Add the following numbers and check by reversing the order of the addends:**

**(i)16509 + 114 (ii) 2359 + 548 (iii) 19753 +2867**

**Solution**

(i)16509 + 114

16509 + 114 = 16623

Reversing the order of the addends, we get

114 + 16509 = 16623

âˆ´ 16509 + 114 = 114 + 16509

(ii) 2359 + 548

2359 + 548 = 2907

Reversing the order of the addends, we get

548 + 2359 = 2907

âˆ´ 2359 + 548 = 548 + 2359

(iii)19753 + 2867

19753 + 2867 = 22620

Reversing the order of the addends

2867 + 19753 = 22620

âˆ´ 19753 + 2867 = 2867 + 19753

**3. Find the sum: (1546 + 498) + 3589 **

**Also, find the sum: 1546 + (498 + 3589). Are the two sums equal? State the property satisfied.**

**Solution**

We have

(1546+ 498) + 3589 = 2044 + 3589

= 5633

1546 + (498 + 3589) = 1546 + 4087

= 5633

Yes the two sums are equal

Hence associative property of addition is satisfied

**4. Determine each of the sums given below using suitable rearrangement.**

**(i) 953 + 707 + 647 (ii) 1983 + 647 + 217 + 353**

**(iii) 15409 + 278 + 691 + 422 (iv) 3259 + 10001 + 2641 + 9999**

**(v) 1 + 2 + 3 + 4 + 96 + 97 + 98 + 99 (vi) 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48**

**Solution**

(i)953 + 707 + 647

Using associative property of addition

953 + (707 + 647) = 953 + 1354

= 2307

(ii)1983 + 647 + 217 + 353

Using associative property of addition

(1983 + 647) + (217 + 353) = 2630 + 570

= 3200

(iii)15409 + 278 + 691 + 422

Using associative property of addition

(15409 + 278) + (691 + 422) = 15687 + 1113

= 16800

(iv)3259 + 10001 + 2641 + 9999

Using associative property of addition

(3259 + 10001) + (2641 + 9999) = 13260 + 12640

= 25900

(v)1 + 2 + 3 + 4 + 96 + 97 + 98 + 99

Using associative property of addition

(1 + 2 + 3 + 4) + (96 + 97 + 98 + 99) = 10 + 390

= 400

(vi)2 + 3 + 4 + 5 + 45 + 46 + 47 + 48

Using associative property of addition

(2 + 3 + 4 + 5) + (45 + 46 + 47 + 48) = 14 + 186

= 200

## Exercise 3C PAGE NO: 49

**1. Perform the following subtractions. Check your results by the corresponding additions.**

**(i) 6237 â€“ 694 (ii) 21205 â€“ 10899**

**(iii) 100000 â€“ 78987 (iv) 1010101 â€“ 656565**

**Solution**

(i)Subtraction of 6237 – 694 = 5543

Addition:

5543 + 694 = 6237

(ii) Subtraction of 21205 â€“ 10899 = 10306

Addition:

10306 + 10899 = 21205

(iii) Subtraction of 100000 â€“ 78987 = 21013

Addition:

21013 + 78987 = 100000

(iv)Subtraction of 1010101 â€“ 656565 = 353536

Addition:

353536 + 656565 = 1010101

**2. Replace each * by the correct digit in each of the following:**

**Solutions**

(i) 917 â€“ 359 = 558

(ii) 6172 â€“ 3269 = 2903

(iii) 5001003 â€“ 156987 = 4844016

(iv) 1000000 â€“ 29571 = 970429

**3. Find the difference :**

**(i) 463 â€“ 9 (ii) 5632 â€“ 99 (iii) 8640 â€“ 999 (iv) 13006 â€“ 9999**

**Solutions**

(i) 463 – 9

It can be written as 463 â€“ 10 + 1

= 464 â€“ 10

= 454

(ii) 5632 â€“ 99

It can be written as 5632 â€“ 100 + 1

= 5633 â€“ 100

= 5533

(iii) 8640 â€“ 999

It can be written as 8640 â€“ 1000+ 1

= 8641 â€“ 1000

= 7641

(iv) 13006 â€“ 9999

It can be written as = 13006 â€“ 10000 + 1

= 13007 â€“ 10000

= 3007

**4. Find the difference between the smallest number of 7 digits and the largest number of 4 digits**

**Solution**

The smallest 7 digit number is 1000000

The largest 4 digit number is 9999

To find their difference = 1000000 â€“ 9999

= 1000000 â€“ 10000 + 1

= 1000001 â€“ 10000

= 990001

âˆ´ The difference between the smallest number of 7 digits and the largest number of 4 digits

= 990001

## Exercise 3D PAGE NO: 53

**1. Fill in the blanks to make each of the following a true statement:**

**(i) 246 Ã— 1 = â€¦â€¦â€¦**

**(ii) 1369 Ã— 0 = â€¦â€¦..**

**(iii) 593 Ã— 188 = 188 Ã— â€¦â€¦..**

**(iv) 286 Ã— 753 = â€¦â€¦.. Ã— 286**

**(v) 38 Ã— (91 Ã— 37) = â€¦â€¦. Ã— (38 Ã— 37)**

**(vi) 13 Ã—100 Ã— â€¦â€¦.= 1300000**

**(vii) 59 Ã— 66 + 59 Ã— 34 = 59 Ã— (â€¦â€¦. + â€¦â€¦.)**

**(viii) 68 Ã— 95 = 68 Ã— 100 â€“ 68 Ã—â€¦â€¦â€¦**

**Solution**

The true statements are

(i) 246Ã— 1 = 246

(ii) 13690 Ã— 0 = 0

(iii) 593Ã— 188 = 188 Ã— 593

(iv) 286Ã— 753 = 753 Ã— 286

(v) 38Ã— (91 Ã— 37) = 91 Ã— (38 Ã— 37)

(vi) 13Ã— 100 Ã— 1000 = 1300000

(vii) 59Ã— 66 + 59 **Ã— **34 = 59Ã— (66 + 34)

(viii) 68Ã— 95 = 68 Ã— 100 â€“ 68 Ã— 5

**2. State the property used in each of the following Statements:**

**(i) 19 Ã— 17 = 17 Ã— 19 **

**(ii) (16 Ã— 32) is a whole number**

**(iii) (29 Ã— 36) Ã— 18 = 29 Ã— (36 Ã— 18)**

**(iv) 1480 Ã— 1 = 1480**

**(v) 1732 Ã— 0 = 0**

**(vi) 72 Ã— 98 + 72 Ã— 2 = 72 Ã— (98 + 2)**

**(vii) 63 Ã— 126 â€“ 63 Ã— 26 = 63 Ã— (126 â€“ 26)**

**Solutions**

(i) 19 Ã— 17 = 17 Ã— 19

â‡’ Commutative law of multiplication is used

(ii) (16 Ã— 32) is a whole number

â‡’closure property is used

(iii) (29 Ã— 36) Ã— 18 = 29 Ã— (36 Ã— 18)

â‡’ Associative of multiplication property is used

(iv) 1480 Ã— 1 = 1480

â‡’ Multiplicative identity is used

(v) 1732 â‡’ 0 = 0

â‡’ Zero property is used

(vi) 72 Ã— 98 + 72 Ã— 2 = 72 Ã— (98 + 2)

â‡’ Distributive law of multiplication over addition is used

(vii) 63 Ã— 126 â€“ 63 Ã— 26 = 63 Ã— (126 â€“ 26)

â‡’ Distributive law of multiplication over subtraction is used

**3. Find the value of each of the following using various properties:**

**(i) 647 Ã— 13 + 647 Ã— 7**

**(ii) 8759 Ã— 94 + 8759 Ã— 6**

**(iii) 7459 Ã— 999 + 7459**

**(iv) 9870 Ã— 561 â€“ 9870 Ã— 461**

**(v) 569 Ã— 17 + 569 Ã— 13 + 569 Ã— 70**

**(vi) 16825 Ã— 16825 â€“ 16825 Ã— 6825**

**Solutions**

(i) By using distributive property we get

647Ã— 13 + 647 Ã— 7 = 647 Ã— (13 + 7)

** = **647 Ã— 20

= 12940

(ii) By using distributive property we get

8759 Ã— 94 + 8759 Ã— 6 = 8759 Ã— (94 + 6)

= 8759 Ã— 100

= 875900

(iii) By using distributive property we get

7459 Ã— 999 + 7459 =7459 Ã— (999 + 1)

= 7459 Ã— 1000

= 7459000

(iv) By using distributive property we get

9870 Ã— 561 â€“ 9870 Ã— 461 = 9870 Ã— (561 â€“ 461)

= 9870 Ã— 100

= 987000

(v) By using distributive property we get

569 Ã— 17 + 569 Ã— 13 + 569 Ã— 70 = 569 Ã— (17 + 13 + 70)

= 569 Ã— 100

= 56900

(vi) By using distributive property we get

16825 Ã— 16825 â€“ 16825 Ã— 6825 = 16825 Ã— (16825 â€“ 6825)

= 16825 Ã— 10000

= 168250000

**4. Determine each of the following products by suitable rearrangements:**

**(i) 2 Ã— 1658 Ã— 50 **

**(ii) 4 Ã— 927 Ã— 25**

**(iii) 625 Ã— 20 Ã— 8 Ã— 50**

**(iv) 574 Ã— 625 Ã— 16**

**(v) 250 Ã— 60 Ã— 50 Ã— 8 **

**(vi) 8 Ã— 125 Ã— 40 Ã— 25**

**Solutions **

(i) It can be written as

2 Ã— 1658 Ã— 50 = (2 Ã— 50) Ã— 1658

= 100 Ã— 1658

= 165800

(ii) It can be written as

4 Ã— 927 Ã— 25 = (4 Ã— 25) Ã— 927

= 100 Ã— 927

= 92700

(iii) It can be written as

625 Ã— 20 Ã— 8 Ã— 50 = (20 Ã— 50) Ã— 8 Ã— 625

= 1000 Ã— 8 Ã— 625

= 8000 Ã— 625

= 5000000

(iv) It can written as

574 Ã— 625 Ã— 16 = 574 Ã— (625 Ã— 16)

= 574 Ã— 10000

= 5740000

(v) It can be written as

250 Ã— 60 Ã— 50 Ã— 8 = (250 Ã— 8) Ã— (60 Ã— 50)

= 2000 Ã— 3000

= 6000000

(vi) It can be written as

8 Ã— 125 Ã— 40 Ã— 25 = (8 Ã— 125) Ã— (40 Ã— 25)

= 1000 Ã— 1000

= 1000000

**5. Find each of the following products, using distributive laws:**

**(i) 740 Ã— 105**

**(ii) 245 Ã— 1008**

**(iii) 947 Ã— 96**

**(iv) 996 Ã— 367**

**(v) 472 Ã— 1097**

**(vi) 580 Ã— 64**

**(vii) 439 Ã— 997**

**(viii) 1553 Ã— 198**

**Solutions**

(i) Using distributive law of multiplication over addition

We get

740 Ã— 105 = 740 Ã— (100 + 5)

= 740 Ã— 100 + 740 Ã— 5

= 74000 + 3700

= 77700

(ii) Using distributive law of multiplication over addition

We get

245 Ã— 1008 = 245 Ã— (1000 + 8)

= 245 Ã— 1000 + 245 Ã— 8

= 245000 + 1960

= 246960

(iii) Using distributive law of multiplication over subtraction

We get

947 Ã— 96 = 947 Ã— (100 – 4)

= 947 Ã— 100 – 947 Ã— 4

= 94700 â€“ 3788

= 90912

(iv) Using distributive law of multiplication over subtraction

We get

996 Ã— 367 = 367 Ã— (1000 â€“ 4)

= 367 Ã— 1000 – 367 Ã— 4

= 367000 â€“ 1468

= 365532

(v) Using distributive law of multiplication over addition

We get

472 Ã— 1097 = 472 Ã— (1000 + 97)

= 472 Ã— 1000 + 472 Ã— 97

= 472000 + 45784

= 517784

(vi) Using distributive law of multiplication over addition

We get

580 Ã— 64 = 580 Ã— (60 + 4)

= 580 Ã— 60 + 580 Ã— 4

= 34800 + 2320

= 37120

(vii) Using distributive law of multiplication over subtraction

We get

439 Ã— 997 = 439 Ã— (1000 â€“ 3)

= 439 Ã— 1000 â€“ 439 Ã— 3

= 439000 â€“ 1317

= 437683

(viii) Using distributive law of multiplication over addition

We get

1553 Ã— 198 = 1553 Ã— (100 + 98)

= 1553 Ã— 100 + 1553 Ã— 98

= 155300 + 152194

= 307494

**6. Find each of the following products, using distributive laws:**

**(i) 3576 Ã— 9**

**(ii) 847 Ã— 99**

**(iii) 2437 Ã— 999**

**Solutions**

Distributive law of multiplication over addition = a (b + c)

= ab + ac

Distributive law of multiplication over subtraction = a (b â€“ c)

= ab â€“ ac

(i) 3576 Ã— 9 can be written as

3576 Ã— 9 = 3576 Ã— (10 – 1)

= 3576 Ã— 10 – 3576 Ã— 1

= 35760 – 3576

= 32184

(ii) 847 Ã— 99 can be written as

847 Ã— 99 = 847 Ã— (100 – 1)

= 847 Ã— 100 – 847 Ã— 1

= 84700 â€“ 847

= 83853

(iii) 2437 Ã— 999 can be written as

2437 Ã— 999 = 2437 Ã— (1000 – 1)

= 2437 Ã— 1000 – 2437 Ã— 1

= 2437000 â€“ 2437

= 2434563

**7. Find the products:**

**(i) 458**

**Ã—67**

** (ii) 3709**

** Ã—89**

** (iii) 4617**

**Ã—234**

** (iv) 15208**

** Ã—542**

**Solutions**

(i) 458

Ã—67

3206
27480 |

30686 |

Hence by multiplying by 7 and 60 we get 458 Ã— 67 =30686

(ii) 3709

Ã—89

3381
296720 |

330101 |

Hence by multiplying by 9 and 80 we get 3709 Ã— 89 = 330101

(iii) 4617

Ã—234

18468
138510 923400 |

1080378 |

Hence by multiplying by 4, 30 and 200 we get 4617 Ã— 234 = 1080378

(iv) 15208

Ã—542

30416
608320 7604000 |

8242736 |

Hence by multiplying by 2, 40 and 500 we get 1528 Ã— 542 = 8242736

## Exercise 3E PAGE NO: 56

**1. Divide and check your answer by the corresponding multiplication in each of the following:**

(i) 1936 Ã·Â 16 (ii) 19881 Ã·Â 47 (iii) 257796 Ã·Â 341 (iv) 612846 Ã·Â 582

(v) 34419 Ã·Â 149 (vi) 39039 Ã·Â 1001

**Solutions**

(i) 1936 Ã·Â 16

Here Dividend = 1936

Divisor = 16

Quotient = 121

Remainder = 0

To check divisor Ã— quotient + remainder = dividend

16 Ã— 121 + 0 = 1936

16 Ã— 121 = 1936

(ii) 19881 Ã·Â 47

Here Dividend = 19881

Divisor = 47

Quotient = 423

Remainder = 0

To Check

Divisor Ã— quotient + remainder = dividend

47 Ã— 423 + 0 = 19881

47 Ã— 423 = 19881

(iii) 257796 Ã·Â 341

Here,

Dividend = 257796

Divisor = 341

Quotient = 756

Remainder = 0

To Check

Divisor Ã— quotient + remainder = dividend

341 Ã— 756 + 0 = 257796

341 Ã— 756 = 257796

(iv) 612846 Ã·Â 582

Here

Dividend = 612846

Divisor = 582

Quotient = 1053

Remainder = 0

To Check

Divisor Ã— Quotient + Remainder = Dividend

582 Ã— 1053 + 0 = 612846

582 Ã— 1053 = 612846

(v) 34419 Ã·Â 149

Dividend = 34419

Divisor = 149

Quotient = 231

Remainder = 0

To Check

Divisor Ã— Quotient + Remainder = Dividend

149 Ã— 231 + 0 = 34419

149 Ã— 231 = 34419

(vi) 39039 Ã·Â 1001

Here

Dividend = 39039

Divisor = 1001

Quotient = 39

Remainder = 0

To Check

Divisor Ã— Quotient + Remainder = Dividend

1001 Ã— 39 + 0 = 39039

1001 Ã— 9 = 39039

**2. Divide, and find out the quotient and remainder. Check your answer.**

**(i) 6971 Ã·Â 47**

**(ii) 4178 Ã·Â 35**

**(iii) 36195 Ã·Â 153**

**(iv) 93575 Ã·Â 400**

**(v) 23025 Ã·Â 1000**

**(vi) 16135 Ã·Â 875**

**Solutions**

(i) 6971 Ã·Â 47

Here

Quotient = 148

Remainder = 15

To Check

Divisor Ã— Quotient + Remainder = Dividend

47 Ã— 148 + 15 = 6971

6956 + 15 = 6971

6971 = 6971

Hence, Verified.

(ii) 4178 Ã·Â 35

Here

Quotient = 119 and Remainder = 13

To Check

Divisor Ã— Quotient + Remainder = Dividend

35 Ã— 119 + 13 = 4178

4165 + 13 = 4178

4178 = 4178

Hence, Verified.

(iii) 36195 Ã·Â 153

Here,

Quotient = 236

Remainder = 87

To Check

Divisor Ã— Quotient + Remainder = Dividend

153 Ã— 236 + 87 = 36195

36108 + 87 = 36195

36195 = 36195

Hence, verified

(iv) 93575 Ã·Â 400

Here,

Quotient = 233

Remainder = 375

To Check

Divisor Ã— Quotient + Remainder = Dividend

400 Ã— 233 + 375 = 93575

93200 + 375 = 93575

93575 = 93575

Hence, verified

(v) 23025 Ã·Â 1000

Here,

Quotient = 23

Remainder = 25

To Check

Divisor Ã— Quotient + Remainder = Dividend

1000 Ã— 23 + 25 = 23025

23000 + 25 = 23025

23025 = 23025

Hence, verified

(vi) 16135 Ã·Â 875

Here,

Quotient = 18

Remainder = 385

To Check

Divisor Ã— Quotient + Remainder = Dividend

875 Ã— 18 + 385 = 16135

15750 + 385 = 16135

16135 = 16135

Hence, verified

**3. Find the value of **

**(i) 65007 Ã· 1**

**(ii) 0 Ã·Â 879**

**(iii) 981 Ã·Â 5720 Ã·Â 10**

**(iv) 1507 â€“ (625 Ã·Â 25)**

**(v) 32277 Ã·Â (648 â€“ 39)**

**(vi) (1573 Ã·Â 1573) â€“ (1573 Ã·Â 1573)**

**Solutions**

(i) 65007 Ã·Â 1

By Actual Division we have:

âˆ´ Value of 65007 Ã·Â 47 = 65007

(ii) 0 Ã·Â 879

Any number which is divisible by 0 is 0

âˆ´ Value of 0 Ã·Â 879 = 0

(iii) 981 + 5720 Ã·Â 10

By actual division we have:

(5720 Ã·Â 10) = 572

981 + 572 = 1553

âˆ´ Value of 981 + (5720 Ã·Â 10) = 1553

(iv) 1507 â€“ (625 Ã· 25)

By actual division we have:

(625 Ã· 25) = 25

âˆ´ Value of 1507 – (625 Ã· 25) = 1507 â€“ 25

= 1482

(v) 32277 Ã·Â (648 â€“ 39)

648 â€“ 39 = 609

32277 Ã·Â 609

By Actual Division we have:

âˆ´ Value of 32277 Ã·Â (648 â€“ 39) = 53

(vi) (1573 Ã·Â 1573) â€“ (1573 Ã·Â 1573)

(1573 Ã·Â 1573) = 1

1 â€“ 1 = 0

âˆ´ Value of (1573 Ã·Â 1573) – (1573 Ã·Â 1573) = 0

**4. Find a whole number n such that n Ã·**Â **n = n**

**Solution**

Given n Ã· n = n

This shows that n/n = n

n = n^{2}

Here clearly shows that whole number n = n^{2}

Hence, the whole number is 1

âˆ´ n = 1

**5. The product of two numbers is 504347.If one of the number is 317, find the other.**

**Solution**

Given the product of two numbers = 504347

The other number = 317

Let the two numbers be X and Y

The product of two numbers = X Ã— Y

X Ã— Y = 504347

Let X = 317

317 Ã— Y = 504347

Y = 504347 Ã·Â 317

Dividend = 504347

Divisor = 317

To check

Divisor Ã— Quotient + Remainder = Dividend

317 Ã— 1591 + 0 = 504347

317 Ã— 1591 = 504347

504347 = 504347

âˆ´ The other number is 1591

**6. On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37.Find the divisor.**

**Solution**

Given

Dividend = 59761

Quotient = 189

Remainder = 37

To find the divisor

Divisor Ã— Quotient + Remainder = Dividend

Dividend = Divisor Ã— Quotient + Remainder

59761 = Divisor Ã— 189 + 37

Divisor Ã— 189 = 59761 â€“ 37

Divisor Ã— 189 = 59724

Divisor = 59724 /189

59724 Ã· 189

âˆ´ Divisor = 316

**7. On dividing 55390 by 299, the remainder is 75.Find the quotient using the division algorithm. **

**Solution**

Here given

Dividend = 55390

Divisor = 299

Remainder = 75

To find the Quotient

Dividend = Divisor Ã— Quotient + Remainder

55390 = 299 Ã— Quotient + 75

299 Ã— Quotient = 55390 â€“ 75

299 Ã— Quotient = 55315

Quotient = 55315 / 299

= 55315 Ã· 299

âˆ´ Quotient = 185

**8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?**

**Solution**

First let us divide 13601 by 87

Here, remainder = 29

Subtract 29 from 13601 to get a number exactly divisible by 87

13601 â€“ 29 = 13572

To find the number divide 13572 by 87

âˆ´ To make 13601 exactly divisible by 87, 29 is subtracted from 13601

## Exercise 3F PAGE NO: 56

**OBJECTIVE QUESTIONS**

**1. The smallest whole number is **

**(a) 1 (b) 0 (c) 2 (d) none of these**

**Solution**

The smallest whole number is 0

Option is (b) is the correct answer

**2. The least number of 4 digits which is exactly divisible by 9 is**

**(a) 1018 (b) 1026 (c) 1009 (d) 1008**

**Solution**

(a) 1018

âˆ´ 1018 is not exactly divisible by 9

(b) 1026

âˆ´ 1026 is exactly divisible by 9

(c)1009

âˆ´ 1009 is not exactly divisible by 9

(d) 1008

âˆ´ 1008 is exactly divisible by 9

Here 1008 is the least number of 4 digits.

Hence 1008 is exactly divisible by 9

Option (d) is the correct answer

**3. The largest number of 6 digits which is exactly divisible by 16 is **

**(a) 999980 (b) 999982 (c) 999984 (d) 999964**

**Solutions**

(a) 999980

Hence 999980 is exactly divisible by 16

(b) 999982

Hence 999982 is not exactly divisible by 16

(c)999984

Hence 999984 is exactly divisible by 16

(d) 999964

Hence 999964 is not exactly divisible by 16

Hence the largest 6 digit number 999984 is exactly divisible by 16

Option (c) is the correct answer

**4. What least number should be subtracted from 10004 to get a number exactly divisible by 12?**

**(a) 4 (b) 6 (c) 8 (d) 20**

**Solution**

To find the least number which is subtracted from 1004 to get a number exactly divisible by 12

First we need to divide 1004 by 12

Since the remainder is 8.

8 should be subtracted from1004 to get a number exactly divisible by 12

That implies 1004 â€“ 8 = 9996

âˆ´ 9996 is exactly divisible by 12

Hence option (c) is the correct answer

**5. What least number should be added to 10056 to get a number exactly divisible by 23?**

**(a) 5 (b) 18 (c) 13 (d) 10**

**Solution**

First divide the 10056 by 23 to get a number added to 10056

Since 5 is the remainder

Subtract 5 from 23 to get required number

Required number = 23â€“ 5 = 18

âˆ´ 18 must be added to10056 to get a least number which is exactly divisible by 23

10056 + 18 = 10074

Hence 10074 is exactly divisible by 23

âˆ´ Option (b) is the correct answer

**6. What whole number is nearest to 457 which is divisible by 11?**

**(a) 450 (b) 451 (c) 460 (d) 462**

**Solution**

(a)

âˆ´ 450 is not divisible by 11

(b) 451

âˆ´ 451 is exactly divisible by 11

(c) 460

âˆ´ 460 is not exactly divisible by 11

(d) 462

âˆ´ 462 is exactly divisible by 11

Here both 451 and 462 are divisible by 11

Since we want nearest whole number to 457

Hence 462 is the nearest whole number to 457 which is divisible by 11

Hence option (d) is the correct answer

**7. How many whole numbers are there between 1018 and 1203?**

**(a) 185 (b) 186 (c) 184 (d) none of these**

**Solution**

Number of whole numbers is calculated as

= (1203 â€“ 1018) â€“ 1

= 185 â€“ 1

= 184

Hence the whole numbers between 1018 and 1203 are 184

Hence option (c) is the correct answer

**8. A number when divided by 46 gives 11 as quotient and 15 as remainder .The number is **

**(a) 491 (b) 521 (c) 701 (d) 679**

**Solution**

Here

Divisor is 46

Quotient is 11 and

Remainder is 15

To find the Dividend

Dividend = DivisorÃ— Quotient + Remainder

= 46 Ã— 11 + 5

= 506 + 15

= 521

Hence 521 is the correct answer

Option (b) is the correct answer

**9. In a division sum, we have dividend = 199, quotient = 16 and remainder = 7. **

**The divisor is **

**(a) 11 (b) 23 (c) 12 (d) none of these**

**Solution**

Here given numbers are

Dividend = 199

Quotient = 16

Remainder = 7

Using division algorithm we have

Dividend = Divisor Ã— Quotient + Remainder

199 = Divisor Ã— 16 + 7

199 â€“ 7 = Divisor Ã— 16

192 = Divisor Ã— 16

Hence Divisor = 192 Ã· 16

âˆ´ 12 is the correct answer

Option (c) is the correct answer

**10. 7589 – ? = 3434**

**(a) 11023 (b) 4245 (c) 4155 (d) none of these**

**Solution**

Let the unknown number be X

To find the X

We have

7589 â€“ X = 3434

X = 7589 – 3434

= 4155

âˆ´ 4155 is the correct answer

Option (c) is the correct answer

**11. 587 Ã— 99 =?**

**(a) 57213 (b) 58513 (c) 58113 (d) 56413**

**Solution**

By using distributive law of multiplication over subtraction we get

587 Ã— 99 = 587 Ã— (100 â€“ 1)

= 587 Ã— 100 â€“ 587 Ã— 1

= 58700 â€“ 587

= 58113

Option (c) is the correct answer

### RS Aggarwal Solutions for Class 6 Maths Chapter 3 Whole Numbers

Chapter 3 – Whole Numbers consists of 6 exercises. RS Aggarwal Solutions are solved in detail for each question in every exercise. Letâ€™s have a glance at the topics which are included in this chapter

- Operations on Whole Numbers
- Subtraction in Whole Numbers
- Multiplication of Whole Numbers
- Division in Whole Numbers

### Chapter Brief of RS Aggarwal Solutions for Class 6 Maths Chapter 3 – Whole Numbers

All natural numbers, including 0, are called Whole Numbers. All-natural numbers are whole numbers, but 0 is a whole number which is not a natural number. In Mathematics whole numbers are necessary for counting numbers. Whole numbers are the numbers which represent the entire thing without pieces. Whole Numbers are used in counting, addition, subtraction.