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How many three-digit numbers are divisib...

How many three-digit numbers are divisible by 9?

A

86

B

90

C

96

D

100

Text Solution

Verified by Experts

The correct Answer is:
D
Three-digit numbers divisible by 9 are 108, 117, 126, .., 999
Let `T_(n) = 999."Then," 108 + (n-1) xx 9 = 999`
`therefore (n-1) xx 9 = 891 rArr (n-1) = 99 rArr n = 100`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

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  2. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

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  3. An AP 5, 12, 19, … has 50 terms. Its last term is

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  4. The sum of first 20 odd natural numbers is

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  5. The sum of first 40 positive integers divisible by 6 is

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  6. How many two -digit numbers are divisible by 3?

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  7. How many three-digit numbers are divisible by 9?

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  8. What is the common difference of an AP in which a(18)-a(14) = 32?

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  9. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

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  10. Which term of the AP 72, 63, 54, … is 0?

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  11. Which term of the AP 25, 20, 15,…. Is the first negative term?

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  12. Which term of the AP 21, 42, 63, 84,.. Is 210?

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  13. What is 20th term from the end of the AP 3, 8, 13, …, 253?

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  14. (5+13+21+…+181)=?

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  15. The sum of first 16 terms of the AP 10, 6, 2 … is

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  16. How many terms of the AP 3, 7, 11, 15,…. Will make the sum 406?

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  17. The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th t...

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  18. The 17th term of an AP exceeds its 10th term by 21. The common differe...

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  19. The 8th term of an AP is 17 and its 14th term is 29. The common differ...

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  20. The 7th term of an AP is 4 and its common difference is -4. What is it...

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