**GUESS PAPER - 2008Class - XSUBJECT - MATHEMATICS**

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

**2. **Which term of A.P :3,8,13,18,…………………,is 78?

**3. **Check whether –150 is a term of the A.P 11,8,5,2………

**4. **If 3^{rd} and 9^{th} terms of an A.P are 4 and – 8 respectively, which term is 106.find the 29^{th} term?

**5. **The 8^{th} term of an AP is zero. Find the ratio of its 38^{th} term and 18th term.

**6. **Which term of A.P is 3,15,27,39……. will be 132 more then its 54^{th} terms?

**7. **Find the 20^{th} terms from the last terms of the A.P: 3,8,13,…………..253.

**8. **Determine the 15^{th} and 5^{th} term from the end of the A.P.: 4,9,14,…….,254.

**9. **Which term of A.P. :9,13,17,21,25……………………is 109.

**10. **If the 8^{th} terms of an A.P.is 31 and the 15^{th} terms is 16 more than the 11^{th} terms.

**11. **If 10^{th} term of an A.P is 52 and 17^{th} terms is 20 more than the 13^{th} terms find the A.P.

**12. **Determine the general terms of A.P. whose 7^{th} terms is – 1 and 16^{th} term 17.also find it’s 25^{th} term.

**13. **How many numbers of two digits are divisible by 7 ?

**14. **Find the number of integers b/t 49 to 500 which are divisible by 7?

**15. **If the p^{th} term of an A.P.is q and the q^{th} term is p, prove that its n^{th} term is (p + q – n ) and (p+q)^{th} term is zero.

**16. **If m times the m^{th} term of an A.P. is equal to n times the n^{th} term, show that the (m+n)^{th} terms of an A.P is zero.

**17. **The 4^{th} term of an A.P. is three times the first and 7^{th} term exceeds twice the third term by 1.find the A.P.

**18. **The sum of three numbers in A.P. is – 3 ,and their product is 8. Find the numbers.

**19. **If 2x,x + 10, 3x + 2 are in A.P., Find the value of x.

**20. **For what value of n ,the n^{th} terms of the arithmetic progressions 63,65,67……..and 3,10,17,…………are equal?