CBSE Set Q3 Maths Class X 1996 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 hour
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.
Q1) Determine
the values of k for which the system of equations have infinite
4x + y = 3, 8x + 2y = 5k (Marks 2)
Q3) If
and 
are the roots of the equation x2 - px + q = 0, find the value of 2
+ 2. (Marks
2)
Q7) Evaluate
: tan 35o/cot 55o + cot 78o/tan 12o
- 1 (Marks 2)
Q13) In
Fig. 2, AD is the bisector of 
A.
If BD = 4 cm, DC = 3 cm and AB = 6 cm, determine AC. (Marks 2)
Q17) How
many spherical lead shots each 4.2 cm in diameter can be obtained from a
rectangular solid of lead with dimensions 66 cm, 42 cm, 21 cm. (Use 
= 22/7) (Marks 4)
Q21) A
father is three times as old as his
son. In 12 years time, he will be twice as old as his son. Find the present ages
of father and the son. (Marks 4)
Q23) Find the mean of the following data: (Marks 4)
| Class interval | Frequency |
| 0 - 6 | 7 |
| 6 - 12 | 5 |
| 12 - 18 | 10 |
| 18 - 24 | 12 |
| 24 - 30 | 6 |
Q26) Solve for x :
9(x2 + 1/x2) - 9(x + 1/x) - 52 = 0 (Marks 6)
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