Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 9

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MARKING SCHEME
SECTION A
Q. NO.
VALUE POINTS
Marks
Q1.
15x + 4y = 61
4x + 15y = 72
Adding the equations we get
x + y = 7 ................................ (i)
1
Subtracting we get
x - y = -1 ...............................(ii)
1
Solving (i) & (ii)
1
x = 3, y = 4
2
x
+ 3x +9
(x+5) (x-2)
Q2.
Writing as
x
1
3
(x+5) (x-5)
x
- 3³
2
x
+ 3x +9
(x+5) (x-2)
=
x
1
(x+5) (x-5)
(x-3) (x²+3x+9)
x - 2
=
1
(x-5) (x-3)
O
∠
∠
Q3.
POQ =
RSQ - Ext. angle of eyclic quad PRSQ
1
P
Q
∠
∠
OQP =
RSQ -
............. (PQ | | RS)
1
∴ ∠OPQ = ∠OQP
½
∴ OP = OQ
½
R
S
Q4.
Cash Price = Rs. 1500
Price under Instalment Plan = Rs. 500 + Rs. 1035 = Rs. 1535
Interest Charged = Rs. 35
1
Principal for each month = Rs. 1000 + Rs. 655 + Rs. 310
∴ Total Principal = Rs. 1965
1
35 x 100 x 12
2800
Rate =
=
= 21.31% approx
1
1965 x 1
131
144

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