SSC Papers for Practice Algebra Maharashtra Board
Q.1. Solve any Five: (5)
1) Find next two terms of the following
sequence 1,3,7,15….
2) Check whether the following terms are
in A.P 26,23,20,17…..
3) Write in standard form 3x + 1 = 5
x
4) Find value of discriminants x2
– 5x + 4 = 0.
5) Find one solution for 3x - y =1
6) Find x if Dx = 51 and D = 3
Q.2. Solve any Four: (8)
1) How many three digits numbers are
divisible by four?
2) A meeting hall has 20 seats in first
row, 24 in second row, 28 in third row and so on. In all it has 30 rows. How
many seats are there in meeting hall?
3) Solve by factorization method x2
– x – 132 = 0.
4) Find nature of root for the following
equation 3x – 7y = 15; 6x = 14y + 10
5) If x= 5 and y = 3 is the solution of 3x
+ ky = 3. Find k.
6) Form quadratic equation if one of the
root is 3 + √5
Q.3. Solve any Three: (9)
1) The second and fourth term of an A.P is
12 and 20 respectively. Find sum of first 25 terms of that A.P
2) Solve by formula method 7x2
+ 4x – 20 = 0.
3) The sum of first 55 terms of an A.P is
3300. Find the 28th term.
4) Solve by Cramer’s rule 3x -4y = 10; 4x +
3y = 5
5) Solve 1 + 1 = 8; 4 - 2 = 2
x y x y
Q.4. Solve any Two: (8)
1) Solve graphically x + y =8; x-y = 2
2) Solve (x2 + 2x)(x2 + 2x – 11) + 24 = 0
3) Find three consecutive terms in an A.P whose sum is -3 and
product of their cubes is 512.
Q.5. Solve any Two: (10)
1) Babubhai
borrows Rs 4000 and agrees to repay with a total interest of Rs 500 in 10
instalments being less than the preceding instalment by Rs 10. What should be
the first and last instalment.
2) A
boat takes 6 hours to travel 8 km
upstream and 32 km downstream, and it takes
7 hours to travel 20 km upstream and 16 km downstream. Find the speed of
the boat in still water and the speed of
the stream
3) Two years ago my age was 4 ½ times age
of my son. Six years ago my age was twice the square of the age of my son. What
is the present age of my son?