SSC Papers for Practice Algebra Maharashtra Board
Q.1. Solve any Five: (5)
1) Find first two terms of tn = 4n - 3
2) If a =2 and d = 3 find next two terms
3) Write in standard form 7x + 1 = 20
x
4) Find discriminant of x2 – 7x
+ 6 = 0.
5) Find one solution for 2x + y =1 0
6) Find x if Dx = 12 and D = 4
Q.2. Solve any Four: (8)
1) Find sum of first n odd natural
numbers.
2) Mary got a job with a starting salaryof
Rs 15000 per month. She will get an incentive of Rs 100 per month. What will be
her salary after 20 months.
3) Solve by factorization method 7x2
+4x – 20 = 0.
4) Find nature of root for the following
equation 3x + 5y = 16; 4x – y =6.
5) Sum of two numbers is 60. The greater
number is 8 more than thrice the smaller number. Find numbers.
6) Form quadratic equation if one of the
root is 4 - √3
Q.3. Solve any Three: (9)
1) The sum of first n terms of an A.P is
3n + n2. Find second, third and the 15th term
2) Solve by formula method 6x2
-4x – 3 = 0.
3) In a garden there are some rows and
columns. The number of trees in a row is greater than each column by 10. Find
number of trees in each row if the total number of trees is 200.
4) Solve by Cramer’s rule 3x - 4y = 7; 5x
+ 2y = 3
5) Solve 2 + 6 = 13; 3 + 4 = 12.
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 four consecutive terms in an A.P whose sum is -54 and
sum of 1st and 3rd term is – 30.
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 installment by Rs 10. What should be
the first and last instalment.
2) Students
of a school were made to stand in rows for drill. If 3 students less were standing in each row, 10 more rows were
required and if 5 students more were standing
in each row then the number of rows was reduced by 10. Find the number
of students participating in the drill.
3) The
product of four consecutive positive integers is 840. Find the numbers.