The document RS Aggarwal Solutions: Whole Numbers Exercise - 3F Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.

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**Objective questions****Mark (✔) against the correct answer ****in each of the following :****Q.1. The smallest whole number is****(a) 1****(b) 0****(c) 2****(d) none of these****Ans.** The smallest whole number is 0**Q.2. The least number of 4 digits which is ****exactly divisible by 9 is****(a) 1018****(b) 1026****(c) 1009****(d) 1008****Ans. **The least 4-digit number = 1000

On dividing 1000 by 9, we get

Remainder = 1

∴ Least 4-digit number which is

Divisible by 9 = 1000 – 1 + 9

= 1000 + 8 = 1008**Q.3. The largest number of 6 digits which is exactly divisible by 16 is****(a) 999980****(b) 999982****(c) 999984****(d) 999964****Ans.**

The largest 6-digit number = 999999

On dividing by 16, we get

Remainder = 15

The greatest 6-digit number divisible by 16

= 999999 – 15 = 999984**Q.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****Ans.**

On dividing 10004 by 12, we get

remainder = 8

∴ 8 is to be subtracted from 10004**Q.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****Ans.**

On dividing 10056 by 23

We get remainder = 12

∴ The least number to be added

= 23 – 5 = 18**Q.6. What whole number is nearest to 457 which is divisible by 11 ?****(a) 450****(b) 451****(c) 460**

**(d) 462****Ans.**

On dividing 457 by 11

We get remainder = 6

Which is greater than half of 11

∴ The number nearest to 457 which is divisible 11 will be = 457 – 6 + 11 = 457 + 5 = 462**Q.7. How many whole numbers are there between 1018 and 1203 ?****(a) 185****(b) 186****(c) 184****(d) none of these****Ans.** Whole number between 1018 and 1203 are 1019 to 1202 are 1202 – 1018

= 184**Q.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****Ans. **Divisor = 46

Quotient = 11

Remainder = 15

∴ Number = Divisor × Quotient + Remainder

= 46 × 11 + 15 = 506 + 15 = 521**Q.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****Ans. **

Dividend = 199

Quotient = 16

Remainder = 7**Q.10. 7589 – ? = 3434****(a) 11023****(b) 4245****(c) 4155****(d) none of these****Ans.**

7589 – ? = 3434

∴ Required number = 7589 – 3434

= 4155**Q.11. 587 × 99 = ?****(a) 57213****(b) 58513****(c) 58113****(d) 56413****Ans. **587 × 99 = 587 × (100 – 1)

= 587 × 100 – 587 × 1

= 58700 – 587 = 58113**Q.12. 4 × 538 × 25 = ?****(a) 32280****(b) 26900****(c) 53800****(d) 10760****Ans.**

4 × 538 × 25 = 538 × 4 × 25

= 538 × 100 = 53800**Q.13. 24679 × 92 + 24679 × 8 = ?****(a) 493580****(b) 1233950****(c) 2467900****(d) none of these****Ans.** 24679 × 92 + 24679 × 8

= 24679 × (92 + 8)

= 24679 × 100 = 2467900**Q.14. 1625 × 1625 – 1625 × 625 = ?****(a) 1625000****(b) 162500****(c) 325000****(d) 812500****Ans.**

1625 × 1625 – 1625 × 625

= 1625 (1625 – 625) = 1625 × 1000

= 1625000**Q.15. 1568 × 185 – 1568 × 85 = ?****(a) 7840****(b) 15680****(c) 156800****(d) none of these****Ans.**

1568 × 185 – 1568 × 85

= 1568 (185 – 85) = 1568 × 100

= 156800**Q.16. (888 + 777 + 555) = (111 × ?)****(a) 120****(b) 280****(c) 20****(d) 140****Ans.** 888 + 777 + 555 = 111 × ?

= 11 (8 + 7 + 5) = 111 × 20**Q.17. The sum of two odd numbers is****(a) an odd number****(b) an even number****(c) a prime number****(d) a multiple of 3****Ans.**

The sum of two odd number is an even number

**18. The product of two odd numbers is****(a) an odd number****(b) an even number****(c) a prime number**

**(d) none of these****Ans.** The product of two odd numbers is an odd number**Q.19. If a is a whole number such that a + a = a, then a = ?****(a) 1****(b) 2****(c) 3****(d) none of these****Ans.** If a is a whole number such that

a + a = a, then a = 0

as 0 + 0 = 0

∴ None of these**Q.20. the predecessor of 10000 is**

**(a) 10001****(b) 9999****(c) none of these****Ans. **The predecessor of 10000 is

10000 – 1 = 9999**Q.21. The successor of 1001 is****(a) 1000****(b) 1002****(c) none of these****Ans.** The successor of 1001 is 1001 + 1 1002**Q.22. The smallest even whole number is**

**(a) 0****(b) 2****(c) none of these****Ans. **The smallest even whole number is 2

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