CBSE Set Q4 Maths Class X 1999 Sample Test Papers For Class 10th for students online
Maths Class X (CBSE)
You are on Set no III Qno. 1 to 30
(Only those questions have been given, which are different from Set I and Set
II)
Time allowed : 3 hours
Maximum Marks : 100
General Instructions :
(i) Question number 1 to 15 carry 2 marks each.
(ii) Question number 16 to 25 carry 4 marks each.
(iii) Question number 26 to 30 carry 6 marks each.
(iv) Write the serial number of the question before attempting it.
(v) Use of logarithmic and trignometric tables is permitted. Use of calculator
is not permitted.
Q9) Evaluate
without using trignometric table:
cos 75o/sin 15o + sin 12o/cos 78o -
cos 18o cosec 72o (Marks 2)
Q11) If
cot A = b/a where a, b are real numbers, find the value of sin2 A.
(Marks 2)
Q15) The
height of a cylinder is 15 cm. The curved surface area is 660 sq.cm. Find its
radius (
= 22/7).
(Marks 2)
Q16) Solve
the following system of equation graphically:
2(x - 1) = y, x + 3y = 15. Also, find the co-ordinates of the points where the
line meet the axis of y. (Marks 4)
Q19) Prove
that the angle in the same segment of a circle are equal. (Marks 4)
Q30) Salma
has the total annual income of Rs. 99,000 during a year (HRA not included). She
contributes Rs. 600 per month towards P.F. and pays an annual premium of Rs.
1000 towards L.I.C. Calculate the income tax payable in the last month if she
had been paying Rs. 180 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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