CBSE Set Q1 Maths Class X 1999 Sample Test Papers For Class 10th for students online
Maths Class X (CBSE)
You are on Set no 1 Qno. 21 to 30
Q21) The arc of a circle subtending a right angle at any point of the circle in its alternate segment is a semicircle - prove. (Marks 4)
Q22) Through
the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn
intersecting AC in L and AD produced in E. Prove that EL = 2BL. (Marks 4)
Q23) Flow Chart. Deleted from the syllabus. (Marks 4)
Q24) Algorithm. Deleted from the syllabus (Marks 4)
Q25) Find
the cost of living index number for the year 1998 assuming 1996 as the base year
from the following data: (Marks 4)
| Commodity | Quantity (in units) |
Price per unit (in rupees) | |
| 1996 | 1998 | ||
| A | 15 | 13 | 14 |
| B | 10 | 12 | 18 |
| C | 25 | 9 | 10 |
| D | 12 | 25 | 30 |
| E | 8 | 70 | 75 |
Section - C
Q26) Solve
for x :
2(x2 + 1/x2) - 3(x - 1/x) - 4 = 0 (Marks 6)
Q27) A
pole 5 m high is fixed on the top of a tower. The angle of elevation of the top
of the pole observed from a point A on the ground is 60o and the
angle of depression of the point A from the top of the tower is 45o.
Find the height of the tower. (Marks 6)
Q28) Construct
a triangle ABC with BC = 6 cm, 
A
= 60o and the median AD through A is 5 cm. Construct a triangle AB'C'
~ 
ABC with BC' = 8 cm.
Write steps of construction. (Marks 6)
Q29) If
a line is drawn parallel to one side of a triangle, the other two sides are
divided in the same ratio. Prove
Using the result, prove the following:
In the figure PQRS is a trapezium, PQ || SR || XY, then PX/XS = QY/YR (Marks
6)
Q30) Salma has the total
annual income of Rs. 98,000 during a year (HRA not included). She contributes Rs.
800 per month towards P.F. and pays an annual premium of Rs. 1200 towards L.I.C.
Calculate the income tax payable in the last month if she had been paying Rs.
120 per month towards income tax for for first 11 months. (Marks 6)
Assume the following for calculating income tax :
| (a) Standard Deduction | 1/3 of the total income
subject to a maximum of Rs. 20,000 (Rs. 25,000 if income is less than Rs. 1 lac) |
| (b) Rates of
Income tax
Slab (i) Upto Rs. 50,000 |
Income Tax Nil |
| (c) Rebate in Tax | 20% of the total savings subject to a maximum of Rs. 12,000 |
| (d) Surcharge | 10% of the tax payable |
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