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Friday, September 19, 2008

Mathematics Entrance Test

Mathematics Entrance Test

Mathematics Aptitude Questions with Answers for the preparation for Engineering Entrance Test like AIEEE, IIT-JEE, CET etc.

Test 1

(1) A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P (A ∪ B) is


(a) 3/5
(b) 0
(c) 1
(d) 5/2

Answer (c) 1

(2) A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is


(a) 4/3
(b) 8/3
(c) 7/3
(d) 5/3

Answer (b) 8/3

(3) A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at


(a) (0, 2)
(b) (0, 1)
(c) (1, 0)
(d) (2, 0)

Answer (c) (1,0)

(4) The point diametrically opposite to the point P (1, 0) on the circle x2 + y2 + 2x + 4y − 3 = 0 is

(a) (− 3, − 4)
(b) (-3, 4)
(c) (3, 4)
(d) (-4, -1)

Answer (a) (-3, -4)

(5) The conjugate of a complex number is 1/i-1. Then the complex number is


(a) -1/i-1
(b) 1/i+1
(c) 1/i-1
(d) -1/i+1

Answer (d) -1/i+1

(6) Let R be the real line. Consider the following subsets of the plane R × R. S = {(x, y) : y = x + 1 and 0 < t =" {(x,">
(a) neither S nor T is an equivalence relation on R
(b) both S and T are equivalence relations on R
(c) S is an equivalence relation on R but T is not
(d) T is an equivalence relation on R but S is not


Answer (d)
T is an equivalence relation on R but S is not

(7) The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y−intercept − 4. Then a possible value of k is


(a) 1
(b) -4
(c) 3
(d) 2


Answer
(b) -4

(8) The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?


(a) a = 0, b = 7
(b) a = 5, b = 2
(c) a = 3, b = 4
(d) a = 2, b = 4


Answer
(c) a = 3, b = 4

(9) The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz−plane at the point (0, 17/2, -13/2) Then

(a) a = 2, b = 8
(b) a = 4, b = 6
(c) a = 6, b = 4
(d) a = 8, b = 2


Answer
(c) a = 6, b = 4

(10) Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A2 = I.
Statement −1: If A ≠ I and A ≠ − I, then det A = − 1.
Statement −2: If A ≠ I and A ≠ − I, then tr (A) ≠ 0.


(a) Statement −1 is false, Statement −2 is true
(b) Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1
(c) Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.
(d) Statement − 1 is true, Statement − 2 is false.


Answer
(d) Statement − 1 is true, Statement − 2 is false.

(11) The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is

(a) -2
(b) -4
(c) -12
(d) 8


Answer
(c) -12

(12) How many real solutions does the equation x7 + 14x5 + 16x3 + 30x – 560 = 0 have?

(a) 1
(b) 4
(c) 7
(d) 5

Answer
(a) 1

(13) The statement p → (q → p) is equivalent to

(a) p → (p → q)
(b) p → (p ∨ q)
(c) p → (p ∧ q)
(d) p → (p ↔ q)


Answer
(b) p → (p ∨ q)

(14) The value of cot(cosec-1 5/3 + tan-1 2/3) is

(a) 2/17
(b) 6/17
(c) 7/17
(d) 3/17


Answer
(b) 6/17

(15) The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to (y2 = y square)

(a) 3/5
(b) 4/3
(c) 7/3
(d) 1


Answer
(b) 4/3

Next Test

Question Paper for Programming In C of BCA 1st Semester of Punjab Technical University

Paper ID [A0204]
(Please fill this Paper ID in OMR Sheet)
BCA (104) (S05 / Old) (Sem. - 1st)

PROGRAMMING IN C

Time : 03 Hours
Maximum Marks : 75

Instruction to Candidates:
1) Section - A is Compulsory.
2) Attempt any Nine questions from Section - B.

Section - A (15 × 2 = 30)

Q1)

a) What are self -referential structures?

b) What are 2 searching techniques?

c) What are user defined data types?

d) What are the applications of C programming?

e) What are pointers?

f) What do you mean by identifier and keywords.

g) What are library functions?

h) What is the purpose of gets & puts functions?

i) What is the difference between pre increment and post increment operators?

j) What are different data types in C?

k) What are nested loops?

l) What is the difference between while and do-while?

m) Can we pass function to other functions. If yes how.

n) How can we pass pointers to a function?

o) What are static variables?

Section - B (9 × 5 = 45)

Q2) ‘C is a middle level language’, comment on this statement.

Q3) Explain various C operators.

Q4) Describe various control statement. Also write their syntax.

Q5) Explain recursion with the help of a C program.

Q6) What are different storage classes in C?

Q7) How can you pass parameters to a function?

Q8) What are different input and output functions in C?

Q9) What is interactive programming?

Q10) What is difference between structure and union?

Q11) How can we create a data file in C?

Q12) What are different sorting methods? Explain any one with the help of a C program.

Q13) Write a C program for Binary search.

Question Paper for Introduction To Information Technology of BCA 1st Semester of Punjab Technical University

Paper ID [A0201]
(Please fill this Paper ID in OMR Sheet)
BCA (101)/(Old/S05) (Sem. - 1st)
B.Sc. CST - 301 (Old)/DCA - 101 (Old)

INTRODUCTION TO INFORMATION TECHNOLOGY

Time : 03 Hours
Maximum Marks : 75

Instruction to Candidates:

1) Section -A is Compulsory.
2) Attempt any Nine questions from Section - B.

Section - A (15 × 2 = 30)

Q1)
a) Differentiate between data and information with suitable examples.

b) Explain with example procedure to convert octal number to binary number.

c) List two devices which can be used as input as well as output device.

d) What do you understand by write protection of floppies and how is it done?

e) What are the disadvantages of OMR?

f) What do you understand by spooling?

g) What is batch processing?

h) Define multiprogramming.

i) Differentiate between RAM and ROM.

j) What is a cache memory? Distinguish between L1 and L2 cache.

k) Differentiate between single user and multi-user system.

l) If on the DOS prompt, ABC is typed and on the disk(say C:\>), there are three files ABC.COM, ABC.EXE and ABC.BAT. Which of the three files will be executed? Why?

m) What is warm booting?

n) List four facilities provided by Internet through WWW?

o) What is the role played by modem in networking?

Section - B (9 × 5 = 45)

Q2) Discuss the working of various components of computer with block diagram.

Q3) Compare impact printers with non-impact printers.

Q4) Explain the procedure of storing data on a hard disk.

Q5) Discuss the relative utility of different optical technologies available in the market.

Q6) Compare characteristics of primary storage with auxiliary storage.

Q7) Describe functions of operating system.

Q8) Explain in detail multiprocessing and time-sharing systems.

Q9) Explain in detail different types of ROM.

Q10) What are the differences between internal commands and external commands in DOS? Give three examples of each type with syntax.

Q11) Explain various features of DOS.

Q12)
Discuss applications of computers in sports and commerce.

Q13) What are the advantages of networking? Explain briefly E-mail.

FIITJEE's One Year Special Extended Classroom Program for IIT-JEE, 2010

FIITJEE's One Year
Special Extended Classroom Program
for IIT-JEE, 2010

At Delhi NCR (South Delhi, East Delhi, North-West Delhi & Noida Centres), Bangalore, Bhopal, Bokaro, Indore, Jaipur, Kolkata, Lucknow, Mumbai, Patna & Ranchi

Weekend option also available at select FIITJEE Centres

Admission Test: 12th & 26th October, 2008

Choose the Test Date which suits you best

Batch Commencing: 2nd November, 2008

Contact:

Chandigarh Centre: SCO-321-322, 1st & 2nd Floor, Sector - 35 B, Chandigarh Phone: 3010043, 5085170

Amritsar Centre: 3rd Floor, SCO: 31, District Shopping Centre, B-Block, Ranjit Avenue, Amritsar Phone: 3203344, 2501686

Corp. Office: FIITJEE House, 29-A, Kalu Sarai Sarvpriya Vihar New Delhi-110016 Ph.: 011 - 26865182, 26854102, Fax : 011 - 26513942 e-mail : info@fiitjee.com

For more details visit: www.fiitjee.com

College - Wise Allotment of Students for Admission to B.Ed Course Kurukshetra University

Kurukshetra University, Kurukshetra

Admission To B.Ed (Regular) Course 2008-09

It is notified that the college - wise allotment of students for admission to B.Ed Course based on the options filled up in the OMR Option Form has been displayed on the website www.epostindia.org

The concerned candidates are advised to download the Seat Allotment Letters and the Admission Form from the above website and submit the same in the allotted college by 22.09.2008 positively. Attested photocopies of relevant certificates should also be attached with the Admission Form in the college.

College of Education in Haryana may also download college wise list of students allotted to their college. At the time of admission, the college should check documents to ensure that students being admitted are eligible in all respects.

Click Here To Download College List

Click Here To Download Application Performa

For more details visit: www.epostindia.org

Admission Notification for Session 2008-09 of Swami Vivekanand Subharti University, Meerut

Swami Vivekanand Subharti University, Meerut
University established by U.P Act No. 29 of 2008

Admission Notification for Session 2008-09
(Strictly on Merit basis)

(1) TRADITIONAL COURSES
Phone: 0121-2439108

B.A. (Hons.) (English, Pol.Sc., Hindi, Sociology, Economics, Mathematics & History
B.Com.
B.Lib & Information Science
M.A. Public Administration
M.A. (Economics, Political Science, Sociology)

Education Courses Phone: 09368008955

B.Ed., B.P.Ed.
M.A. Education
M.Ed., M.Phil. (Edu.)

Media Courses Phone: 09368008941

Bachelor in Journalism & Mass Comm.
P.G Diploma in Journalism & Mass Comm.
Certificate in Journalism

(2) LAW COURSES
Phone: 0121-3058041

B.A.LL.B (5 yrs.)
LL.B
B.A.Law
LL.M
M.Phil.
Ph.D. (Residential)
LL.D. (Non Residential)
P.G. Diploma in Law (Cyber Law / Cyber Space, Media Law, Taxation Law, Intellectual Property Rights, Labour Law, Realities & Real Estate, Medical Jurisprudence)

(3) MANAGEMENT & ENGINEERING COURSES
Phone: 0121-2439157

M.B.A.
B.B.A.
B.C.A.
M.C.A.
P.G.D.C.A.
P.G.D.I.T.
P.G.D.B.M.
B.Tech. (CS, IT, EC, EN, ME)
M.Tech. (Wind Energy / Solar Energy /Environmental Study / Polymer Chemistry / Remote Sensing)

(4) MEDICAL COURSES
Phone: 0121-2439056, 2439027

M.Sc. & Ph.D in Medical (Anatomy, Biochemistry, Microbiology, Physiology, Pharmacology) 3 years Course, Eligibility: MBBS & BDS
M.B.B.S. (Ad Closed)
B.D.S.
M.D.S.
B.P.T
M.P.T
G.N.M., B.Sc (Nursing)
Master in Hosp. Adm.
Certificate Course in Basic First Aid
B.Sc., M.Sc (Medical Lab. Tech.)
P.G. Diploma in Radio diagnosis & Imaging Sc.

Contact for Admission Forms & Details:
H.O.: Subhartipuram, NH-58, Meerut Bypass Road, Meerut
Phone: 0121-2439089, 2439578, 9368008916
City Office: Lokpriya Hospital Building, Garh Road, Meerut
Phone: 0121-2768447, 09927117143
Telefax: 0121-2439067
Email: subharti.uni@gmail.com

MOU between the P.G.I.M.E.R., Chandigarh and Panjab University

MOU between the P.G.I.M.E.R., Chandigarh and Panjab University

A Memorandum of Understanding (MOU) between the P.G.I.M.E.R., Chandigarh and Panjab University, Chandigarh, is signed at PU Campus
here on 17th September 2008 for enrollment / registration of candidates for pursuing Ph.D. research in various Departments of Basic Medical Sciences, Panjab University, Chandigarh, for which Chief Supervisor will be appointed from the parent University Teaching Department and Co-Supervisor/Supervisor can be appointed from the P.G.I.M.E.R., Chandigarh, and also vice versa, i.e. if a candidate enrolled/registered for Ph.D. in a Department at P.G.I.M.E.R., the Chief Supervisor/Guide would be from P.G.I.M.E.R., and Co-Supervisor/Co-Guide from the collaborating Department of the Panjab University; and

Besides this regular MOU, the Rules and Regulations of the concerned Institute would be applicable on the candidate wherever he/she is enrolled/registered. The MOU signed by Dr. K.K. Talwar, Director, PGIMER on behalf of PGIMER and Prof. R.C. Sobti, Vice-Chancellor, P.U. on behalf of the Panjab University.

For more details visit: www.puchd.ac.in

The last date for admission to OBC, SC/ST/Vacant/converted General Category seats has been extended up to 22.9.2008 - PU, Chandigarh

Punjab University, Chandigarh

The last date for admission to OBC, SC/ST/Vacant/converted General Category seats has been extended up to 22.9.2008

The last date for admission to OBC, SC/ST/Vacant/converted General Category seats has been extended up to 22.9.2008. The last date for applying is 22.9.2008 up to 4.00 p.m. in the respective departments. The admission to OBC is based on qualifying examination whereas admission to other categories is based on CET/OCET merit. The counselling will be held on 25.9.2008 from 10.00 a.m. onwards.

In case the seats still remain vacant in various categories other than OBC, the admission shall be on the basis of merit of qualifying examination. Admission form can be downloaded from PU website: www.puchd.ac.in according to Dean of University Instruction, P.U.

Some seats are lying vacant in Law Courses B.A. LL.B. (Hons.) 5-Years and LL.B. 3-Years at S.S. Giri P.U. Regional Centre, Hoshiarpur

Panjab University, Chandigarh

Some seats are lying vacant in Law Courses B.A. LL.B. (Hons.) 5-Years and LL.B. 3-Years at S.S. Giri P.U. Regional Centre, Hoshiarpur.

It is notified for the public in general and candidates in particular that some seats are lying vacant in Law Courses B.A. LL.B. (Hons.) 5-Years and LL.B. 3-Years at S.S. Giri P.U. Regional Centre, Bajwara, Hoshiarpur.

LL.B. 1st Semester 3-Years

Eligibility: Graduation in any stream with 45% marks (40% marks in case of SC/ST candidates)

B.A. LL.B. 1st Semester 5-Years

Eligibility: 10+2 Examination from recognized Board with at least 50%marks (45% marks in case of SC/ST candidates)

The candidate must not be above 20 years of age as on 1st August 2008.

The admission will be made purely on the basis of percentage of marks obtained by the candidate in the qualifying examination.

Interested candidates may apply to the Director Law at S.S., Giri P.U. Regional Centre, Bajwara, Hoshiarpur by 22.-09-.2008 up to 4.00 p.m. The interview will be held on 25..09.2008 from 9.00 a.m. to 12.00 noon. The fees will be deposited on the same day. No interview letter will be issued according to Dr. Daya Nand Garg, Director Law, Helpline 01881-237797).

Software Freedom Day 2008 Celebrations in UIET, Panjab University, Chandigarh

Panjab University, Chandigarh

Software Freedom Day 2008 Celebrations in UIET, Panjab University, Chandigarh

Software Freedom Day (SFD) (http://softwarefreedomday.org/) is an annual worldwide celebration of free/open-source software. SFD is a public education effort, not only to celebrate the virtues of free/open-source software, but also to encourage its use, to the benefit of the public. As the leading supporter of Free and Open Source Software (FOSS) in the world, Sun Microsystems is co-sponsoring Software Freedom Day 2008, and is gearing up to educate the world (especially students), about the benefits of FOSS and how it is Changing Their World.

Under the Campus Ambassador Program, Sun Microsystems has collaborated with UIET to offer students an opportunity to learn and contribute to their pioneering open source technologies through free access to their courseware, technical demonstrations, symposiums, projects, and internships.

Sun Open Source University Meetup (OSUM) Club in UIET which is a group of Open Source enthusiasts is celebrating Software Freedom Day 2008. The following Free and Open Source Softwares and technologies will be demonstrated throughout the day along with installation and hands on lab practice:

VirtualBox

Web Development Using Apache-Mysql-Php platform (LAMP/SAMP)

GNU Image Manipulation Program (GIMP)

Open Source Gaming

Venue: UIET, Panjab University, Chandigarh

Date: September 20, 2008

Timing: 9:00 am onwards

Team Page: www.softwarefreedomday.org/teams/asiaandmiddleeast/india/uiet-pu-chd

Online Registration:
www.opensource.uiet.co.in/sfd/

Souvik Das Gupta, UIET, PU

For more details visit: www.puchd.ac.in

Last date for admission to certain correspondence courses extended up to September 29, 2008 of Panjab University

Panjab University, Chandigarh

Last date for admission to certain correspondence courses extended up to September 29, 2008

The last date for admission to B.A./B.Com.(I, II & III), M. Com/M.F.C./M.A. (English, Hindi, Punjabi, Pol. Science, Economics, History, Public Administration and Sociology) Part I & II, PGDCA, PG Diploma in Mass Communication, P.G. Diploma in Human Rights and Duties, Diploma in Statistics, Bachelor of Library and Information Science, Certificate Course in Vivekananda Studies (excluding B. Ed. I and M. Ed.-I Classes) has been extended up to September 29, 2008 without any late fee.

Prospectus is available on cash payment of Rs.250/- and by Registered Post Rs.325/- through Bank Draft drawn in favour of the Registrar, Panjab University, Chandigarh and payable at Chandigarh only. Enquiry counter of the Department shall also remain open on every Saturday according to the Chairperson, Dept. of Correspondence Studies.

For more detail visit: www.puchd.ac.in

Admission Notification MBA & MIBA for Session 2009-10 of FMS - BHU

FMSBHU–MBA/MIBA Admission Application form & Information Bulletin session 2009-10 downloadable at ‘www.bhu.ac.in

Admission Notification for 2009-2010

BANARAS HINDU UNIVERSITY FACULTY OF MANAGEMENT STUDIES
Ph.: (0542) 2307430/31/ 2369332
Fax: (0542) 2307430 / 2369332
Email: fmsbhu@sify.com
Website: www.bhu.ac.in/fms

FMS BHU: Empowering Managerial Minds Since 1968

Applications are invited for admission to

TWO YEAR POST GRADUATE PROGRAMME IN BUSINESS ADMINISTRATION


(with specialization in Marketing / HRD / Finance - MBA Seats 40*)
(with specialization in International Business – MIBA Seats 40*)


RESERVATION : SC: 15%; ST: 7.5%; PD: 3% and OBC : 18% (Under Staggered Implementation Plan)
PAID SEATS : 10 (MBA 05 & MIBA 05)
SUPERNUMERARY SEATS: Foreign Nationals: 15% (For details contact International Student Centre, Banaras Hindu University)

* The total intake and distribution of seats under different category may vary as per the directives of the competent authority.


WHO CAN APPLY: Candidates should have a bachelor degree under 10+2+3 pattern/ a degree in Agriculture, Technology, Medicine, Education or law/ a post graduate degree in any discipline under 10+2+3 pattern with a minimum of 50% marks in aggregate from any University/Institution recognized by AIU/AICTE. For SC/ST candidates, 45% marks is required. (Candidates should also fulfill the minimum eligibility requirements for appearing in CAT 2008)Candidates appearing in the final year of the qualifying examination can also apply provided they furnish the proof of having met the minimum eligibility criteria by October 05, 2009 after completing all the requirements for obtaining the qualifying degree before June 30, 2009.

HOW TO APPLY :

Step 1: Candidates seeking admission to FMS-BHU will be required to purchase CAT 2008 (conducted by IIMs) Bulletin available from July 14 to August 13, 2008 and appear in CAT 2008 on SUNDAY, November 16, 2008. Completed CAT Application forms should be directly sent to the concerned IIMs on or before September 05, 2008 (for details see CAT 2008 Notification). Selection will be made strictly on the basis of the combined Merit acquired by a Candidate in CAT 2008, Group Discussion and Interview. The FMS, BHU uses CAT for short-listing the candidates for its two-year full time Post-Graduate Programmes in Management.

IIMs have no role either in the selection process or in the conduct of the programme.


Step 2: Candidates are also required to register at FMS, BHU through separate application form which has to be obtained from Faculty of Management Studies, BHU, Varanasi from July 18, 2008 either in person against crossed SBI Bank Draft (MICR) /Banker’s Cheque of Rs. 850/- (Rs. 550/- for SC/ST) till November 24, 2008 OR by post through a requisition along with Crossed SBI Bank Draft (MICR) of Rs. 900/- (Rs. 600/- for SC/ST) and self-addressed envelope of 32x26 cm. till November 1, 2008 OR may be downloaded from the web site of BHU (www.bhu.ac.in). The downloaded application form must be submitted along with demand draft of Rs. 850/- (Rs. 550/- for SC/ST Category). The Bank Draft/Banker’s Cheque should be drawn in favour of the Registrar, Banaras Hindu University payable at SBI, BHU Main Branch (Code 0211). Completed application form be submitted to “The Dean, Faculty of Management Studies, Banaras Hindu University, Varanasi – 221005” on or before November 25, 2008.

IMPORTANT DATES:

FMS BHU

Last date for receipt of requisition for sending the form through post
1 November 08
Last date of sale of forms from counter:24 November 08
Last date for receipt of completed forms by FMS BHU: 25 November 2008

Address for communication
The Dean, Faculty of Management Studies,
Banaras Hindu University,
Varanasi - 221005

Click Here To Download Information Bulletin and Application Form

For more details visit: www.bhu.ac.in

MBA & MIBA for Session 2010-11 of FMS - BHU

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