Ssc Algebra Board Question Paper - 2013 Page 2
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1
2
3Std. X: Algebra
TARGET Publications
2.
Attempt any five of the following subquestions:
[10]
i.
Find first two terms of the sequence whose nth term is t
= 2n – 5.
n
ii.
Solve by factorization method:
2
y
– 36 = 0.
iii.
Solve the following simultaneous equations by using Cramer’s rule:
x + y = 10;
x – y = 2.
iv.
Find the sample space S and number of sample points n(S) when two coins are tossed.
v.
Find the mean of the data whose median is 128 and mode is 90.
vi.
If the following information is to be shown in the form of pie diagram, then find the measures of the
central angles corresponding to the age groups 5 – 15 years and 15 – 35 years:
Age (in years)
Population
0 – 5
10%
5 − 15
20%
15 – 35
40%
35 – 65
25%
65 and more
5%
3.
Attempt any four of the following subquestions:
[12]
i.
For a given A.P. if a = 6 and d = 3, find s
8.
ii.
Solve the following quadratic equation by the method of completing squares :
2
z
+ 6z – 8 = 0.
iii.
Solve the following simultaneous equations by using graphical method:
x + y = 3;
x − y = 1.
iv.
The perimeter of an isosceles triangle is 44 cm. The length of its congruent sides is 4 cm more than
its base. Find the lengths of all the sides.
v.
A die is thrown. Find the probability of the following events:
a.
getting a number greater than 3 on the upper surface
b.
getting an even number on the upper surface.
4.
Attempt any three of the following subquestions:
[12]
i.
Find three consecutive terms in a G.P. such that the sum of the first two terms is 9 and the product of
all the three terms is 216.
ii.
Solve the quadratic equation by using the formula method:
2
4 x
+ 7 x + 2 = 0.
iii.
Solve the following simultaneous equations:
1
1
4
2
−
+
= 8;
= 2.
x
y
x
y
251
Board Question Paper
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