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     Practice Paper

Mathematics (Class X)
Submitted by: Santanu Kumar Mishra (Bhubaneshwar) 

Max. Marks: 80                                                                                   Time Allowed: 3 hrs

Q.1.   Solve for x and y : 3x + 2y = 2x + y + 3 = 4x+ 3v - 3

Q.2.  Find the L.C.M. of following : 24(2x- 1)3(x2- 1)2; 18(4x2- 1)2(x+ 1)2(x-  1)2

Q.3.  The cash price of an air-conditioner is Rs. 14,800. Meenu agrees to pay Rs. 4350 in cash along with 4 equal quarterly installments. If she has to pay 12% p.a. simple interest, find the value of each installment.

Q.4.   Vijay took a loan from State Bank of India at 10% p.a. compounded annually, he returned the loan in three equal annual installments of Rs. 10,648 each. Find the sum borrowed by Vijay.

Q.5.   Find the A.P. whose nth term is 2n + 5.
 
Q.6 If 5 times the 5th term of an A.P. is equal to 7 times its 7th term, find the 12th term of this A.P.
                                                          Or
Find the sum of all two digit natural numbers which arc divisible by 3.
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