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How many three–digit numbers are divisib...

How many three–digit numbers are divisible by 7?

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The first 3-digit number which is divisible by 7 is 105
The last 3-digit number which is divisible by 7 is 994
The list of 3-digit numbers divisible by 7 are `105, 112, 119,…..994` which forms an A.P
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the AP : 21, 18, 15,... is - 81? Also, is any term 0? Gi...

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  2. Determine the AP whose 3^(r d)term is 5 and the 7^(t h)term is 9.

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  3. How many three–digit numbers are divisible by 7?

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  4. Two APs have the same common difference. The difference between their...

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  5. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  6. The 17^(th) term of an AP exceeds its 10^(th) term by 7. Find the comm...

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  7. Find the 20^(t h)term from the last term of the AP : 3, 8, 13, . . , ...

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  8. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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  9. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . ...

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  10. How many multiples of 4 lie between 10 and 250?

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  11. In a potato race, a bucket is placed at the starting point, which is ...

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  12. Subba Rao started work in 1995 at an annual salary of Rs 5000 and rec...

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  13. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

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  14. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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  15. Find the sum of first 51 terms of an AP whose second and third terms ...

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  16. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

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  17. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

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  18. In an AP: given a=8,an=62,Sn=210 find n and d

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  19. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

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  20. Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms...

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