MDU MBA PREVIOUS YEAR PAPERS SEM - II

HERE U CAN DOWN LOAD THE MDU MBA SEM - II PREVOIOUS YEAR PAPER BY CLICK/COPY PASTE THESE LINKS GIVEN BELOW:
http://www.ziddu.com/download/3122337/MBA221-226-2007Jan.pdf.html

http://www.ziddu.com/download/3122336/MBA221-226-2006July.pdf.html

http://www.ziddu.com/download/3122335/MBA221-226-2006Jan.pdf.html

http://www.ziddu.com/download/3122334/MBA331-334-321-324-2006July.pdf.html

MDU MBA PREVIOUS YEAR PAPER SEM - 1

MDU MBA PREVIOUS YEAR PAPER SEM - 1

HERE U CAN DOWN LOAD THE MDU MBA PREVOIOUS YEAR PAPER BY CLICK THESE LINKS GIVEN BELOW:
http://www.ziddu.com/download/3122320/MBA211-216-2007Jan.pdf.html

http://www.ziddu.com/download/3122306/MBA211-216-2008July.pdf.html

http://www.ziddu.com/download/3122305/MBA311-314-322-323-2006July.pdf.html

http://www.ziddu.com/download/3122304/MBA211-216-2006July.pdf.html

http://www.ziddu.com/download/3122303/MBA-1-211-216.pdf.html

http://www.ziddu.com/download/3122302/MBA211-216-2007Jul.pdf.html

FREE SMU BCA SAMPLE PAPERS (Sikkim Manipal University)

FREE SMU BCA SAMPLE PAPERS
HI FRIENDS,
You can download all the SMU BCA SEM - 1 sample paper by click/copy paste the links given below:To view / download the file, simply click on the link below

SOLVED SAMPLE PAPERS:
1. Commu Skill 1 2. CommuSkill2 3. Window based Appl 4. Digital System 5. C Programing

6. Basic Maths 7. Basciof IT 8. Basic of IT2 9. Basic of maths1

8th semester CSE NSM-network security and management NSM-network security and management

1.
a. what is denial of service attack
b. what is trojan horse?Explain its principle.

2.
a. what are block cipher design principles and their modes of operation?
b. what is public key cryptography?Explain RSA algorithm with example

3.Explain with example-
a. Substitution cipher
b. transposition cipher

4.how speech signal can be encrypted?describe analog and digital systems of speech encryption.

5.
a. what is the purpose and principle of digital signature?explain.
b. describe-
i) pretty good service
ii) ip sec
iii) firewalls

6.
a. what do you mean by network management?Explain with the help of NM functional flow chart.
b. give a system overview of snmpV1 network management architecture

7.
a. compare rmon1 and rmon2
b. what are security threats?how they are handled in snmpV3?

8.explain-
i) ATM network management
ii) TMN
iii) data compression techniques

CBSE Maths Sample Question Paper - Year 96


Filed under:
  • Class X
  • Maths
Maths Class X (CBSE)
You are on Set no 1 Qno. 1 to 20

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.


Section - A

Q1) Find the value of k for which the system of equations has no solution :
3x - 4y + 7 = 0
kx + 3y - 5 = 0 (Marks 2)

Answer
Q2) Find the g.c.d. of the following polynomials :
2x2 - x - 1 and 4x2 + 8x + 3 (Marks 2)
Answer

Q3) If A = (x + 1)/(x - 1), find A - 1/A in the simplified form. (Marks 2)
Answer

Q4) Form the quadratic equation in x whose roots are 2 + 5 and 2 - 5. (Marks 2)
Answer

Q5) The base radii of two right circular cones of the same height are in the ratio 3 : 5. Find the ratio of their volumes. (Marks 2)
Answer

Q6) A colour T.V. is available for Rs. 13,440 inclusive of sales tax. If the original cost of T.V. is Rs. 12,000 find the rate of sales tax. (Marks 2)
Answer

Q7) Evaluate : cot 54o/tan 36o + tan 20o/cot 70o - 2 (Marks 2)
Answer

Q8) Simplify : (1 + tan2 )(1 - sinThita )(1 + sin ) (Marks 2)
Answer

Q9) Prove that : sin /(1 - cos ) = cosec + cot . (Marks 2)
Answer

Q10) In Fig. 1, ABC and DEF are similar. The area of ABC is 9 sq.cm and area of DEF is 16 sq.cm. If BC = 2.1 cm, find the length of EF. (Marks 2)

Answer

Q11) In Fig. 2, O is the centre of the circle and AB is a chord of the circle. Line QBS is a tangent to the circle at B. If AOB = 110o, find APB and ABQ. (Marks 2)


Answer

Q12) In Fig. 3, chords AB and CD intersect at P. If AB = 5 cm, PB = 3 cm and PD = 4 cm, find the length of CD. (Marks 2)

Answer

Q13) Calculate the median of the following data :
83, 37, 70, 29, 45, 63, 41, 70, 30, 54 (Marks 2)

Q14) Find the Crude Death Rate (CDR) for the following data: (Marks 2)

Age group
(in years)		 Population Number
of Deaths
0 - 10 5000 250
10 - 25 2000 120
25 - 45 8000 150
45 - 70 7000 80
Above 70 3000 250

Answer

Q15) Flow Chart. Omitted being out of Syllabus. (Marks 2)

Section - B

Answer

Q16) Solve for the following system of equations graphically :
2x + y - 3 = 0
2x - 3y - 7 = 0 (Marks 4)
Answer

Q17) Factorise. Omitted, being out of Syllabus. (Marks 4)
Answer

Q18) A man has only 20 paise coins and 25 paise coins in his purse. If he has 50 coins in all totaling Rs. 11.25, how many coins of each does he have? (Marks 4)
Answer

Q19) Divide 29 into two parts so that the sum of the squares of the parts is 425. (Marks 4)
Answer

Q20) The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of 28 cm diameter. Find the length of the wire. (Marks 4)
Answer

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)
Answer

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)
Answer

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

Answer

Q24) Algorithm. Omitted, being out of Syllabus. (Marks 4)
Answer

Q25) Flow Chart. Omitted, being out of Syllabus. (Marks 4)

Section - C

Answer

Q26) Solve for x :
4(x2 + 1/x2) + 8(x - 1/x) - 29 = 0 (Marks 6)

Answer

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)
Answer

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)
Answer

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)
Answer

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
(ii) From Rs. 50,001 to 60,000
(iii) From Rs. 60,001 to Rs. 1,50,000

Income Tax

No tax
10% of the amount exceeds Rs. 50,000
Rs. 1,000 + 20% of the amount exceeding Rs. 60,000

© 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.

CBSE Class-10th Previous years Question Papers MATHEMATICS—2005 (Set II —Outside Delhi )

Q. 1. If and

Ans( x+1/x-4)

Q. 2. Find the sum of all multiples of 9 lying between 300 and 700.

Ans(21,978)

Q. 6. The 4th term of an Arithmetic Progression is zero. Prove that its 25th term is triple its 11 th term.

Q. 11. Solve the following system of equations graphically:

2x - 5y + 4 = 0

2x + y - 8 = 0

Find the points where the lines meet the y-axis.

Ans:B (0,0-8); C(0,8)

Q. 12. A two digit number is such that the product of its digits is 20. If 9 is added to the number, the digits interchange their places. Find the number.

Ans:(45)

Q. 20. A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is

(i) red or white

(ii) not black

(iii) neither white nor black.

Ans:(13/20; 13/20; ¼)

Q. 21. If a line is drawn parallel to one side of a triangle, prove that the other two sides are divided in the same ratio.

Use the above to prove the following:

In the given figure DE II AC and DC II AP.

Prove that

Ans:(Rs.1,254)

CBSE Class-10th Previous years Question Papers MATHEMATICS—2005 (Set III —Outside Delhi )

Q. 1. If and

Ans( x+1/x-4)

Q. 2. Find the sum of all multiples of 9 lying between 300 and 700.

Ans(21,978)

Q. 6. The 4th term of an Arithmetic Progression is zero. Prove that its 25th term is triple its 11 th term.

Q. 11. Solve the following system of equations graphically:

2x -5y + 4 = 0

2x + y - 8 = 0

Find the points where the lines meet the y-axis.

Ans:B (0,0-8); C(0,8)

Q. 12. A two digit number is such that the product of its digits is 20. If 9 is added to the number, the digits interchange their places. Find the number.

Ans:(45)

Q. 20. A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is

(i) red or white

(ii) not black

(iii) neither white nor black.

Ans:(13/20; 13/20; ¼)

Q. 21. If a line is drawn parallel to one side of a triangle, prove that the other two sides are divided in the same ratio.

Use the above to prove the following:

In the given figure DE II AC and DC II AP.

Prove that

Ans:(Rs.1,254)

CBSE Class-10th Previous years Question Papers MATHEMATICS—2005 (Set III — Delhi)

Q. 1. Express the following as a rational expression in lowest terms:

Ans:(X+2)

Q. 2. Find the 8th term from end of the A.P. 7, 10, 13, ...,184.

Ans:(163)

Q. 4. Find the L.C.M. of the following polynomials:

Ans:[3(X-3)(X+3)(X+6)(X2+3X+9)

Q. 6. Find the number of terms of the A.P. 63, 60, 57, ..., so that their sum is 693.

Ans(n = 21 or n = 22)

Q. 11. Solve the following system of equations graphically:

Find the points where the lines meet the x-axis.

Ans:C(4,0);B(-3,0)

Q. 12. The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.

Ans:(6,12; 12,6)

Q. 20. There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

Ans:[2/3

Q. 21. Prove that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

Apply the above theorem on the following:

ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1 cm, PB = 3 cm, AQ = 1 -5 cm, QC = 4-5 cm, prove that area of is one-sixteenth of the area of

CBSE Class-10th Previous years Question Papers MATHEMATICS—2005 (Set II—Delhi)

Q. 1. Express the following as a rational expression in lowest terms:

Ans: (X+2)

Q. 2. Find the 6 th from end of the A.P. 17,14, 11,....-40.

Ans: -25

Q. 4. Find the L.C.M. of the following polynomials:

Ans:(x-6) (x+6) (2x+1) (x2 +6x+36)

Q. 6. Find the number of terms of A.P. 64, 60, 56, so that their sum is 544.

Ans:(n = 17 or n = 16)

Q. 11. Solve the following system of equations graphically:

Find the points where the lines intersect x-axis.

Ans;B(-3,0);C(2,0)

Q. 12. The sum of two numbers is 16. The sum of their reciprocals is. Find the numbers.

Ans:(12 and 4 or 4 and 12)

Q. 20. Find The probability that a number selected from the numbers 1 to 25 is not a prime number when each of given number is equally likely to be selected.

Ans:( 16/25)

Q. 21. Prove that in a triangle, a line drawn parallel to one side to intersect the other two sides in distinct points, divides the two sides in the same ratio.

Using above prove that the quadrilateral ABCD is a trapezium if the diagonals AC and BD of the quadrilateral ABCD intersect each other at O such that

CBSE Class-10th Sample Papers MATHEMATICS—2005 (Set I—Delhi )

SECTION A

Question numbers 1 to 10 carry 3 marks each.

Q. 1. Express the following as a rational expression in lowest terms:

Ans:

Q. 2. Find 10th term from end of the A.P. 4, 9, 14,..254.

Ans:(209)

Q. 3. Solve the following system of linear equations:

Ans:(x = l, y = -1)

Q. 4. Find the L.C.M. of the following polynomials:

Ans:

Q. 5. Solve for x.

Ans:(c/a,-b/a)

Or

Solve for x.

Ans:(c/a,-b/a)

Q. 6. Find the number of terms of the A.P. 54, 51, 48 ... so that their sum is 513.

Ans:(n = 18 or n = 19)

Or

If the n th term of an A.P. is (2n + 1), find the sum of first n terms of the A.P.

Ans:n (n + 2)

Q. 7. A loan of Rs 10,815 is to be returned in three equal half-yearly instalments.

Calculate the amount of each instalment, if the rate of interest is perannum, compounded half-yearly.

Ans:(Rs. 4,096)

Q. 8. A fan is available for Rs 970 cash or Rs 210 as cash down payment followed by three equal monthly instalments of Rs 260 each. Find the rate of interest charged under instalment plan.

Ans:(16% p.a.)

Q. 9. In the figure, are on the same base BC. AD and BC intersect

at O. prove that

Q. 10. OD is perpendicular to a chord AB of a circle whose centre is O. If BC is a diameter, prove that CA = 2 OD.

SECTIONS B

Question numbers 11 to 20 carry 4 marks each.

Q. 11. Solve the following system of equations graphically :

Also find the points where the lines meet the x-axis.

Ans:B(5, 0), C(- 2,0)

Q. 12. The sum of two numbers a and b is 15, and the sum of their reciprocals 1/a and 1/b is 3/10. Find the numbers a and b.

Ans:(a = 10, b = 5 or a = 5, b = 10)

Q. 13. A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl?

Ans:(54)

Q.14 Prove that:

find the value of:

Ans:

Q. 15. Draw a circle of radius 3.5 cm. From a point P outside the circle at a distance of 6 cm from the centre of circle, draw two tangents to the circle.

Q. 16. Find the value of x such that PQ = QR where the coordinates of P, Q and R are (6, -1);

(1, 3) and (x, 8) respectively.

Ans:(x = 5 or x = - 3)

Or

Find a point on x-axis which is equidistant from the points (7, 6) and (- 3, 4).

Ans:(3,0)

Q. 17. The line-segment joining the points (3, -4) and (1, 2) is trisected at the points P and Q. If the

Coordinates of P and Q are (p, -2) and respectively, find the values of p and q.

Ans:(p=7/3 ; q=0)

Q. 18. Find the mean of the following distribution:

Class

Number of Students

4-8

2

8-12

12

12-16

15

16-20

25

20-24

18

24-28

12

28-32

13

32-36

3

Ans:(19-92)

Q. 19. Given below is the expenditure of a person on different items out of his salary of Rs 14,400.

Item:

Clothing

Food

Rent

education

others

G. total

Expn. : (in Rs.)

2,800

3,600

3,600

1,800

2,600

14,400

Draw a pie-chart to depict the above data.

Q. 20. A card is drawn at random from a well shuffled pack of 52 cards. Find the Probability that the card drawn is neither a red card nor a queen.

Ans:(6/13)

SECTION C

Question numbers 21 to 25 carry 6 marks each.

Q. 21. Prove that in a right angled triangle the square on the hypotenuse is equal to the sum of the squares on other two sides.

Using the above result, prove that the sum of squares on the sides of a rhombus is equal to sum of squares on its diagonals.

Q. 22. On a horizontal plane there is a vertical tower with a flag pole on the top of the tower. At a point 9 metres away from the foot of the tower the angle of elevation of the top and bottom of the flag pole are 60° and 30° respectively. Find the height of the tower and flag pole mounted on it.

Ans: ( 5.19 m, 10.38m)

Or

From a building 60 metres high the angles of depression of the top and bottom of a lamppost are 30° and 60° respectively. Find the distance between the lamppost and building. Also find the difference of height between building and lamppost.

Ans:(34.6 m, 20m)

Q. 23. A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13-5 m and radius of base is 14 m. Find the cost of cloth required to make the tent at the rate of Rs 80 per sq. m .

Ans; (Rs 82,720)

Or

The radii of circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

Ans:(7599-43 cm2)

Q. 24. If a line touches a circle and from the point of contact a chord is drawn, prove that the angles which this chord makes with the given line are equal respectively to the angles formed in the corresponding alternate segments.

Using the above theorem, prove the following: P is mid point of arc APB. Prove that tangent QR drawn at P to the circle is parallel to AB.

Q. 25. The monthly income of Ruchi (age 30 years) is Rs. 18,200 (excluding HRA). She donates Rs. 8,400 towards Prime Minister Relief Fund (Relief 100%) and Rs. 12,000 to an orphanage (Relief 50%). She contributes Rs. 4,500 per month towards Provident Fund and Rs. 2,500 per quarter as LIC premium. She purchases National Saving Certificates worth Rs. 8,000. She pays Rs. 900 per month as income-tax for the first 11 months. Calculate her income-tax liability for last month of the year.

For calculating income tax, use the following:

(a) Standard Deduction :

(i) Rs. 30,000 if incomes is up to Rs.5,00,000
(ii)Rs. 20,000 if income is more than Rs.5,00,000

(b) Rates of income tax :

Slab
Income tax
(i) Upto Rs.50,000
 No tax
(ii) From Rs.50,001 to Rs. 60,000
10% of the amount exceeding Rs. 50,000
(iii)From Rs.60,001 to Rs. 1,50,000
Rs.1,000+20% of the amount exceeding Rs. 60,000
(iv) Above Rs.1,50,000
 Rs.19,000+30% of the amount exceeding Rs.1,50,000

(c) Rebate in tax

(i) 20% of the savings subject to a maximum of Rs.14,000 if the gross incomes is upto Rs.1,50,000.
(ii) 15% of the savings subject to a maximum is upto Rs.10,500 if the gross income is between Rs.1,50,001 to Rs.5,00,000.
(d) Educational cess 2% of the income tax payable

(e) Special Rebate

For female, maximum Rs. 5,000 over and above the rebate on savings.

(Ans;Rs. 1,014)

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