CBSE Set Q1 Maths Class X 1996 Sample Test Papers For Class 10th for students online
Maths Class X (CBSE)
You are on Set no 1 Qno. 21 to 30
Q21) "In
a triangle, a line drawn parallel to one side, to intersect the other side in
distinct points, divides the two sides in the same ratio". Prove. (Marks
4)
Q22) The
perpendicular AD on the base BC of a 
ABC
intersects BC at D so that DB = 3CD. Prove that
2AB2 = 2AC2 + BC2 (Marks 4)
Q23) Find the mean of the
following data : (Marks 4)
| Class Interval | Frequency |
| 0 - 10 | 8 |
| 10 - 20 | 10 |
| 20 - 30 | 9 |
| 30 - 40 | 12 |
| 40 - 50 | 11 |
Q24) Algorithm. Omitted, being out of Syllabus. (Marks 4)
Q25) Flow Chart. Omitted, being out of Syllabus. (Marks 4)
Section - C
Q26) Solve
for x :
4(x2 + 1/x2) + 8(x - 1/x) - 29 = 0 (Marks 6)
Q27) A
tower in a city is 150 m high and a multistoried hotel at the city centre is 20
m high. The angle of elevation of the top of the tower at the top of the hotel
is 5o. A building, h metres high, is situated on the straight road
connecting the tower with the city centre at a distance of 1.2 km from the
tower. Find the value of h if the top of the hotel, the top of the building and
the top of the tower are in a straight line. Also find the distance of the tower
from the city centre.
(Use tan 5o = 0.0875; tan 85o = 11.43) (Marks 6)
Q28) "The
degree measure of an arc of a circle is twice the angle subtended by it at any
point of the alternate segment of the circle with respect to the arc." -
Prove. (Marks 6)
Q29) Construct
ABC in which BC = 6
cm, 
A = 60o
and the altitude through A is 4.5 cm. Measure the length of the median through
A. Write the steps of construction. (Marks 6)
Q30) The
total salary of Manjeet Singh is Rs. 1,25,500 (excluding HRA) during a year. He
pays a premium of Rs. 10,800 annually towards LIC and contributes Rs. 2,000 per
month towards G.P.F. Rs. 250 are deducted each month from his salary as income
tax. Calculate the income tax Manjeet Singh is to pay in the last month of the
financial year. (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 No tax |
| (c) Rebate in Tax | 20% of the total savings subject to a maximum of Rs. 12,000 |
| (d) Surcharge | 10% of the tax payable |
OR
A page from the pass book of Ram Lal's Saving Bank Account in a particular year
is given below :-
| Date | Particulars | Amt.
Withdrawn Rs. P. |
Amt.
Deposited Rs. P. |
Balance Rs. P. |
| Jan. 1 | By Balance | 1200.00 | ||
| Jan. 5 | By Cash | 500.00 | 1700.00 | |
| Feb. 20 | By Cash | 700.00 | 2400.00 | |
| Feb. 25 | To Cheque | 500.00 | 1900.00 | |
| May, 8 | By Cash | 1000.00 | 2900.00 | |
| July, 12 | By Cash | 1500.00 | 4400.00 | |
| July, 20 | To Cheque | 1000.00 | 3400.00 | |
| Sept. 1 | By Cash | 1200.00 | 4600.00 | |
| Oct. 5 | To Cheque | 2000.00 | 2600.00 | |
| Dec. 15 | By Cash | 500.00 | 3100.00 |
Assuming the rate of interest is 5%
p.a. and interest is paid once in a year, at the end of December, calculate the
interest earned by Ram Lal at the end of the year.
Note: Question done according to the latest syllabus.
Total salary of Manjeet Singh taken as Rs.125,500 in place of Rs.120,500.
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