Ssc Algebra Board Question Paper - 2013 Page 3
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1
2
3Std. X: Algebra
TARGET Publications
iv.
Out of 100 students in a certain class, 70 students like Mathematics, 40 students like Science and 15
students like both Mathematics and Science. A student is selected at random. Find the probability
that the student like Mathematics or Science.
5.
Attempt any four of the following subquestions:
[20]
⎛
⎞
⎛
⎞
1
1
+
− 77
−
− 12 =0
2
⎜
⎟
⎜
⎟
i.
Solve :
30
x
x
⎝
⎠
⎝
⎠
2
x
x
ii.
The following is the frequency distribution of diameter of neem trees measured at 1 metre height
from ground :
Diameter (cm)
No. of Trees
Below 25
0
Below 50
26
Below 75
68
Below 100
203
Below 125
215
Below 150
220
Prepare frequency distribution. Draw less than type cumulative frequency curve, more than
cumulative frequency curve on the same graph paper. Also find the median.
−
n
n
6
5
iii.
The sum of first n terms of a sequence is
. Find its n th term. Examine whether the sequence
n
5
is an A.P. or G.P.
iv.
Solve the following simultaneous equations:
10
2
+
= 4;
−
x + y
x
y
−
5
5
2
−
=
.
(
)
−
x + y
3
x
y
3
v.
The following frequency distribution gives the monthly consumption of electricity of 70 consumers of
a locality :
Monthly Consumption (Units)
No. of Consumers
65 − 85
04
85 – 105
05
105 – 125
13
125 – 145
22
145 – 165
14
165 – 185
08
185 – 205
04
Find its mean and median.
252
Board Question Paper
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