ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-1.3 Questions for Knowing Our Numbers as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 6th |

Chapter-1 | Knowing Our Numbers |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of Exe-1.3 Questions |

Edition | 2023-2024 |

**Knowing Our Numbers Exe-1.3**

ML Aggarwal Class 6 ICSE Maths Solutions

Page-12

**Question 1. Write all possible 2-digits numbers that can be formed by using the digits 2, 3 and 4. Repetition of digits is not allowed. Also find their sum.**

**Answer:**

The given digits are 2, 3, 4 and repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing the two digits are 2, 3; 2, 4; 3, 4

Using the digits 2 and 3, the numbers are 23 and 32

Similarly, Using the digits 2 and 4, the numbers are 24 and 42

Using the digits 3 and 4, the numbers are 34 and 43

Hence, all possible 2-digit numbers are 23, 32, 24, 42, 34, 43

∴ Sum of above numbers

= 23 + 34 + 32 + 24 + 43 + 42 = 198.

**Question 2. Write all possible 3-digits numbers using the digits 3, 1 and 5. Repetition of digits is not allowed.**

**Answer:**

We are required to write 3-digit numbers using the digits 1, 3, 5 and the repetition of the digits is not allowed.

Keeping 1 at unit’s place, 3-digit number obtained are 351 and 531.

Keeping 3 at unit’s place, 3-digit number obtained are153 and 513.

Keeping 5 at unit’s place, 3-digit number obtained are 315 and 135.

**Hence, all possible 3-digit numbers are : 315, 351, 153, 135, 531, 513**

**Question 3. Write all possible 3-digits numbers using the digits 7, 0 and 6. Repetition of digits is not allowed. Also, find their sum.**

**Answer:**

we are required to write 3 –digit numbers using the digits 0,6,7 and the repetition of the digits is not allowed.

Keeping 0 at unit’s place, 3-digit number obtained are 670 and 760.

Keeping 6 at unit’s place, 3-digit number obtained are 706.

Keeping 7 at unit’s place, 3-digit number obtained are 607.

Keeping 7 at unit’s place, 3- digit number obtained are 607.

Hence, all possible 3- digit numbers are : 670, 760, 607, 706.

∴ Sum of above numbers

= 670 + 760 + 607 + 706 = 2743

**Question -4. Write all possible 2-digit numbers using the digits 4, 0 and 9. Repetition of digits is not allowed. Also find their sum.**

**Answer:**

The given digits are 0, 4, 9 and repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing the two digits are 4, 0; 4, 9; 9, 0

Using the digits 4 and 0, the number are 40.

Similarly, Using the digits 4 and 9, the numbers are 49 and 94.

Using the digits Hence, all possible 2-digit numbers are 40, 49, 90, 94

∴ Sum of above numbers = 40 + 49 + 90 + 94 = 273

**Question 5. Write all possible 2-digit numbers that can be formed by using the digit 3, 7 and 9. Repetition of digits is allowed.**

**Answer:**

The given digits are 3, 7, 9 and repetition of digits is not allowed. Out of

the given digits, the possible ways of choosing the two digits are 3, 7; 3, 9; 7, 9

Using the digits 3 and 7, the numbers are 37, 73, 33 and 77.

Similarly, Using the digits 3 and 9, the numbers are 39, 93, and 99.

Using the digits 7 and 9, the numbers are 79 and 97.

Hence, all possible 2-digit numbers are

37, 73, 33, 77, 39, 93, 99, 79, 97

**Question 6. Write all possible numbers using the digits 3,1 and 5. Repetition of digits is not allowed.**

**Answer:**

The given digits are 1,3, 5 and repetition of digits is not allowed.

The one-digit numbers that can be formed are 1, 3 and 5.

We are required to write 2-digit numbers.

Out of the given digits, the possible ways of choosing the two digits are 1, 3, 1, 5, 3, 5

Using the digits 1 and 3, the numbers are13 and 31.

Similarly, Using the digits 1 and 5, the numbers are 15 and 51.

Using the digits 3 and 5, the numbers are 35 and 53.

Hence, all possible 2-digitt numbers are 13, 31, 15, 51, 35, 53

Now, We are required to write 3-digit numbers using the digits 1, 3, 5 and the repetition of the digits is not allowed. Keeping 1 at unit’s place, 3-digit number obtained are 351 and 531.

Keeping 3 at unit’s place, 3-digit number obtained are 153 and 513.

Keeping 5 at unit’s place, 3-digit number obtained are 315 and 135.

Hence, all possibe 3-digit numbers are : 315, 351, 153, 135, 531, 513

All possible numbers using the digits 3, 1 and 5 are :

**1, 3, 5, 31, 13, 35, 53, 15, 51, 315, 153, 351, 531, 513, 135.**

**Question -7. ****How many 6-digit numbers are there in all ?**

**Answer:**

The lowest 6-digit number is 100,000 and the highest is 999,999.

Subtract 999,999−100,000=899,999, but then add 1, because we want to include both 100,000 and 999,999.

**Question -8. ****Write down the greatest number and the smallest number of 4-digits that can be formed by the digits 7, 5,0 and 4 using each digit only once.**

**Answer:**

The greatest 4 digit number are – 7540

The smallest 4 digits number are – 4057

**Question 9. ****Rearrange the digits of the number 5701024 to get the largest number and the smallest number of 7 digits.**

**Answer:**

The greatest 7 digit numbers is – 7542100

The smallest 7 digit number is – 1002457

**Question 10.**

**Keeping the place value of digit 3 in the number 730265 same, rearrange ****the digits of the given number to get the largest number and smallest number of 6 digits.**

**Answer:**

Keeping the same place values of digit 3 in the number 730265 and rearranging the digits of the given number,

Greatest number of 6 digits= 736520 Smallest number of 6 digits = 230567.

**Question-11. ****From smallest and greatest 4-digit numbers by using any one digit twice from the digits:**

**(i) 5, 2, 3, 9**

**(ii) 6, 0, 1, 4**

**(iii) 4, 6, 1, 5, 8.**

**Answer:**

(i) Greatest number: 9953

Smallest number: 2235

(ii) Greatest number:

Smallest number: 6641

Smallest number: 1004

(iii) Greatest number: 8865

Smallest number: 1145

**Question -12. ****Write**

**(i) the greatest number of 6 digits**

**(ii) the smallest number of 7 digits. Also find their difference.**

**Answer:**

The greatest number of 6 digits : 999999

The smallest number of 7 digits: 1000000.

Their differences are = 1000000 – 999999 = 1.

**Question -13. Write the greatest 4-digit number of distinct digits.**

**Answer:**

the greatest 4-digit number of distinct digits.-9876

**Question -14. Write the smallest 4-digit number of distinct digits.**

**Answer:**

the smallest 4-digit number of distinct digits -1234

**Question -15. Write the greatest 6-digit number using three different digits.**

**Answer:**

the greatest 6-digit number using three different digits- 999987

**Question -16. Write the smallest 7-digit number using four different digits.**

**Answer:**

the smallest 7-digit number using four different digits- 1000234

**Question- 17. Write the greatest and the smallest 4-digit numbers using four different digits with the conditions as given:**

(i) Digit 7 is always at units place.

(ii) Digit 4 is always at tens place.

(iii) Digit 9 is always at hundreds place.

(iv) Digit 2 is always at thousands place.

**Answer:**

(i) 9867; 1027

(ii) 9847; 1042

(iii) 8976; 1902

(iv) 2987; 2013

— : End of ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions :–

Return to **–** ML Aggarwal Maths Solutions for ICSE Class -6

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