Decimal & Arabic Value in Number System

Decimal & Arabic Value in Number System

1 Lac (1,00,000) = 0.1 Million

10 Lac (10,00,000) = 1 Million

100 Lac (100,00,000) = 1 Crore = 10 Million

10 Crore (10,0000,000) = 100 Million 

100 Crore (100,0000,000) = 1 Arab = 1000 Million = 1 Billion

10 Arab = 10,000 Million = 10 Billion 

100 Arab (1 Carab) = 100,000 Million = 100 Billion 

1000 Arab (10 Carab) = 10,00,000 Million = 1 Trillion

Decimal Value in Number system

10,00,000 = 1 Million / 1,000,000

10 Million = 1 Crore / 10,000,000

100 Lakhs = 1 Crore

100 Crores = 1 Billion / 1000,000,000

VITEEE-2016

VIT ENGINEERING ENTRANCE EXAMINATION (VITEEE 2016)

Important Dates:

·         Date of Exam:  6th APRIL (Wednesday) to 17th APRIL (Sunday) 2016.

·       Issue of VITEEE-2016 online and offline application forms starts from 27th November 2015 Onwards.

·         Candidates can EDIT their submitted online application form (except address column) upto 29th February 2016. This Edit option is applicable only for online applicants.

·         Declaration of Result: Last week of April expected.

COMPUTER BASED TEST (CBT)

Duration: 2.30 Hours (3 sessions per day)

Exam Timings (IST):

Session-I – 09:00 am to 11:30 am /

Session-II – 12:30 pm to 3:00 pm /

Session-III – 04:00 pm to 6:30 pm

Pattern of Exam:

·         PCM (Physics, Chemistry and Mathematics) -
120 questions (Each 40 questions) & English (5 questions) = Total 125 questions

·         PCB (Physics, Chemistry and Biology) -
120 questions (Each 40 questions) & English (5 questions) = Total 125 questions

·         No Negative Marks for wrong answers.

Eligibility Criteria:

·         Candidates whose date of birth falls on or after 1st July 1994 are eligible to apply for VITEEE-2016.

·         Candidates appearing for the VITEEE in 2016 should have secured an aggregate of 60% marks in Physics, Chemistry, and Mathematics/Biology in the qualifying examination (+2/Intermediate).

·         The average marks obtained in the subjects Physics, Chemistry and Mathematics or Biology (PCM / PCB) in +2 (or its equivalent) put together should be 50% for the SC/ST & North Eastern State.

·         Candidates who have studied in Regular, Full Time and Formal Education are only eligible to apply.

·         'NIOS' candidates are eligible to appear for the VITEEE-2016.

Syllabus:

Physics | Chemistry | Mathematics | Biology | English (New from this year) refer respective website.

Application Procedure: [Guidelines to VITEEE - 2016 Applicants]

Online Application

Get ready to submit the application form, after following the below instructions:

·         Softcopy (scanned copy) of recently taken passport size colour photograph with 50kb - 100kb (Dimensions - 3.5 cm x 4.5 cm) /

·         Softcopy (scanned copy) of Signature of the Candidate with 20kb - 50kb (Dimensions - 3.5 cm x 1.5 cm) in JPG / JPEG format

·         Mode of Payment - Internet Banking facility through Net banking / Debit card / Credit card / and Demand Draft Mode

All correspondence including centre booking and issue of e-admit card details will be through email only. Therefore, the applicant is requested to get ready with valid email id and Mobile number for contact. 

Offline Application

·         Applications will be available in selected Head Post Offices (List will be released in due course)

·         Institutes interested to buy Offline Application forms in Bulk can contact the following persons:

1. Director - UG Admissions   [or]          2. Mr. S. Rajasekar,

Office of Admissions, VIT University,

Vellore - 632014

Contact No. 9884765353

Website: http://www.vit.ac.in/

Note: Application fee will not be refunded under any circumstances, hence read all the instructions carefully before filling the application form.

FAQs-JEE (Advanced) 2016

Frequently Asked Questions - JEE (Advanced) 2016

Q1: I have taken admission into one of the NITs in 2015. Am I eligible for JEE (Advanced) 2016?

Ans: Yes. Candidates who have taken admissions in NITs in 2015 are also eligible for appearing in JEE (Advanced) 2016, if they satisfy all other eligibility criteria given here.

Criterion 1 – Performance in JEE (Main) 2016

Criterion 2 – Age limit

Criterion 3 – Number of attempts

Criterion 4 – Appearance in Class XII (or equivalent) examination

Criterion 5 – Earlier admission at IITs/ISM

Q2: I have accepted seat through JoSAA 2015. Am I eligible for JEE (Advanced) 2016?

Ans: If you have accepted seat in IITs/ISM then you are NOT eligible for JEE (Advanced) 2016. However, if you have accepted a seat in NITs/IIITs/Other GFTIs through JoSAA 2015 then you are eligible for JEE (Advanced) 2016.

Q3: I have taken admission in one of the IITs/ISM for preparatory course. Am I eligible for JEE (Advanced) 2016?

Ans: Yes. You are eligible for JEE (Advanced) 2016 subject to fulfilling other eligible criteria.

Q4: Writing Paper-1 and Paper-2 in JEE (Advanced) 2016 compulsory?

Ans: Yes, it is compulsory. If a candidate is absent in one of the papers, then the candidate will be considered as absent in the examination.

Q5: Can I get question paper in Hindi language?

Ans: Yes. JEE (Advanced) 2016 offer question papers in two languages: English and Hindi. Candidates have to choose the language option during the JEE (Advanced) 2016 registration.

Q6: Can I get question papers in English as well as in Hindi?

Ans: Candidates will get only one question paper - either English question paper or Hindi question paper but not both.

Q7: Will the question paper be bilingual (both in Hindi and English)?

Ans: No. Candidate will get the question papers in only one language (English or Hindi).

Q8: If I am absent in one of the papers, will my result be declared?

Ans: No. You will be considered absent in the examination and the result will not be prepared. It is compulsory to appear in both the papers for result preparation.

Q9: Are PIO and OCI card holders eligible to appear in JEE (Advanced) 2016?

Ans: Yes. All foreign nationals including PIO and OCI card holders are eligible. Please refer to the relevant section of Information Brochure for more information.

Q10: I am defence service personnel. Can my child get a seat under DS category?

Ans: Not all defence service personnel’s children are eligible for DS category seats. DS category seats are earmarked for children of defence / paramilitary personnel killed or permanently disabled in action during war or peacetime operations.

Q11: During examination can I modify my answers bubbled on ORS?

Ans: No. Since the bubbling on ORS is done using only black ball point pen, candidates cannot modify the answers once bubbled.

NTSE-2015

NTSE-2015

Standard Notations for Sets of Numbers

Standard Notations for Sets of Numbers

ℕ    -     Natural Number

ℕ_k   -     Natural Numbers less than or equal to k

I      -     Integers

I₀      -     Integers excluding 0

ℤ     -     Integers

ℤ⁺   -     Positive Integers

ℤ^-    -     Negative Integers

ℚ    -     Rational Numbers

ℚ⁺     -     Positive Rational Numbers

ℚ₀     -     Non-zero Rational Numbers

ℝ     -     Real Numbers

ℝ⁺    -     Positive Real Numbers

ℝ₀    -     Non-zero Real Numbers

ℂ     -     Complex Numbers

ℂ₀   -     Non-zero Complex Numbers

W    -     Whole Numbers

Mathematics GK

A young Indian mathematician, Nikhil Srivastava, has been named a joint winner of the prestigious George Polya Prize for finding proof of a riddle that had eluded mathematicians for more than half a century. 

Srivastava of Microsoft Research India and Adam W. Marcus and Daniel A. Spielman from Yale University will be presented the 2014 George PA³lya Prize at the July 7-11annual meeting of the Society for Industrial and Applied Mathematics (SIAM), in Chicago. 

The trio had announced the proof of what is known as the Kadison-Singer conjecture, first proposed by Richard Kadison and Isadore Singer in 1959, pertaining to the mathematical foundations of quantum mechanics about a year ago. 

Measurements-Weights-Linear-Square-Land Measurements

MEASUREMENTS

WEIGHTS

10 Milligrams              =          1 Centigram

10 Centigrams             =          1 Decigram

10 Decigrams              =          1 Gram

10 Grams                     =          1 Decagram

10 Decagrams             =          1 Hectogram

10 Hectograms            =          1 Kilogram

100 Kilograms             =          1 Quintal

10 Quintals                  =          1 Ton

1000 Kilograms           =          1 Ton

LINEAR MEASURE

12 Inches                     =          1 Foot

3 Feet                          =          1 Yard

22 Yards                     =          1 Chain

10 Chains                    =          1 Furlong

10 Furlongs                 =          1 Mile

SQUARE MEASURE

144 Sq. inches             =          1 Sq. Foot

9 Sq. Feet                    =          1 Sq. Yard

1210 Sq. Yards           =          1 Rood

4 Roods                       =          1 Acre

640 Acres                    =          1 Sq. Mile

Land Measurement

3 ft 3 inch = 1 sq Metre

10,000 sq Metre = 1 Hectare

107,639 sq ft = 1 Hectare

43,600 sq ft = 1 Acre

2.46878 acre = 1 Hectare

In Uttar Pradesh:

1 Bigha = 20 Bishwa = 60 Decimal = 2428.80 m² (20 x 125 m²)

1 Biswa = 125 m² or 154.32 yd²

1 Bigha = 0.25 Hectare (or 2500 m² or 301 yd²

In Bihar:

1 Katha = 720 sq ft or 1/20 of a Bigha

1 decimal = 435.6 sq ft

1 Kattah = 1600000 sq ft

1 Kattah = 8000 sq meter

20 Kattah = 1 Bigha

3 Bighas = 1 Acre approx. (4800 square yards)

In Nepal:

1 Bigha = 20 Kattha (about 6,772.63 m² or 72900 sq. ft.)

1 Kattha = 20 Dhur (about 338.63 m² or 3,645 sq. ft.)

1 Dhur = 16.93 m² or 182.25 sq. ft.

1 Kanwa = 1/16 Dhur

1 Kanaee = 1/16 Kanwa

1 Bigha = 13.31 Ropani

1 Ropani = 16 aana (about 508.72 m² or 5476 sq. ft.)

1 Aana = 4 paisa (about 31.80 m² or 342.25 sq. ft.)

1 Paisa = 4 daam (7.95 m²)

MESSAGES by Famous MATHEMATICIANS

MESSAGES on MATHEMATICS

1.      A mathematician knows how to solve a problem he cannot solve it. – Milne

2.      Analysis and natural philosophy owe their most important discoveries to this fruitful means which is called induction. Newton was indebted to it for his theorem of the Binomial and the Principle of universal gravity. – Laplace

3.      Everybody of discovery is mathematical in form because there is no other guidance we can have. – Darwin

4.      Geometry as a logical system is a means and even the most powerful means to make children feel the strength of the human spirit that is of their own spirit. – H Freudenthal

5.      In these days of conflict between ancient and modern studies, there must surely be something to be said for a study which did not begin with Pythagoras and will not end with Einstein, but is the oldest and the youngest. – G H Hardy

6.      Let the relation of knowledge to real life be very visible to your pupils and let them understand how by knowledge the world could be transformed. – Bertrand Russell

7.      Mathematics is a most exact science and its conclusions are capable of absolute proofs. – C P Steinmetz

8.      Mathematics is both the queen and the hand maiden of all sciences. – E T Bell

9.      Mathematics is the art of saying many things in many different ways. – Maxwell

10.  Mathematics is the indispensable instrument of all physical research. – Berthelot

11.  Mathematics is the queen of Sciences and Arithmetic is the queen of Mathematics. – Gauss

12.  Statistics may be rightly called the science of averages and their estimates. – A L Bowley & A L Boddington

13.  There are few things which we know which are not capable of mathematical reasoning and when these cannot, it is a sign that our knowledge of them is very small and confused. – Arthenbot

14.  Where a mathematical reasoning can be had, it is as great a folly to make use of any other, as to grope for a thing in the dark, when you have a candle in your hand. – John Arbuthnot

15.  With the calculus as a key, mathematics can be successfully applied to the explanation of the course of nature. – Whitehead

16.  We will all laugh at gilded butterfly. – Shakespeare

Famous Mathematicians

Famous Mathematicians

1.      George Cantor (1845-1918)

2.      G W Leibnitz (1646-1716)

3.      Arya Bhatt (476-550)

4.      G Plano (1858-1932)

5.      W R Hamilton (1805-1865)

6.      Jacob Bernoulli (1654-1705)

7.      Blasé Pascal (1623-1662)

8.      Rene Descartes (1596-1650)

9.      Apollonius (262 B C -190 B C)

10.  Leonhard Euler (1707-1783)

11.  Sir Isaac Newton (1642-1727)

12.  Karl Pearson (1857-1936)

13.  Kolmogrov (1903-1987)

14.  George Boole (1815-1864)