Number of Squares on a Chessboard

here is one really interesting puzzle what is the number of Squares on a Chessboard?

The first thing is why the answer is not just 64...

All the red squares in the above picture would count as valid squares, so we are asking how many squares of any dimension from 1x1 to 8x8 there are on a chess board. 

The key is to think how many positions there are that each size of square can be located... 

A 2x2 square, for example, can be located in 7 loactions horizontally and 7 locations vertically. ie in 49 different positions. Consider the table below... 

size	horizontal positions	vertical positions	positons
1x1	8	8	64
2x2	7	7	49
3x3	6	6	36
4x4	5	5	25
5x5	4	4	16
6x6	3	3	9
7x7	2	2	4
8x8	1	1	1
		total	204

In total there are 204 positions. this is the sum of the number of possible positions for all the different sized squares.

Formula For n x n Chessboard?

It's clear from the analysis above that the solution in the case of n x n is the sum of the squares from n² to 1²that is to say n² + (n-1)² + (n-2)² ... ... 2² + 1²

Mathematically that is written as follows:

The proof of the explicit solution is beyond the scope of this site, but if you want to look it up a mathematician would refer to it as 'the sum of the squares of the first n natural numbers.' The final answer is given by

n³/3 + n²/2 + n/6

courtesy http://puzzles.nigelcoldwell.co.uk/twentyseven.htm

UPTET (Uttar Pradesh Teacher Eligibility Test) सरकारी नौकरी , नियुक्ति परिणाम , टीईटी , UPTET , TET: SURVEY - अभी तक के परिणाम

UPTET (Uttar Pradesh Teacher Eligibility Test) सरकारी नौकरी , नियुक्ति परिणाम , टीईटी , UPTET , TET: SURVEY - अभी तक के परिणाम

UPTET (Uttar Pradesh Teacher Eligibility Test) सरकारी नौकरी , नियुक्ति परिणाम , टीईटी , UPTET , TET: आपका एकेडेमिक गुणांक कितना है ?

UPTET (Uttar Pradesh Teacher Eligibility Test) सरकारी नौकरी , नियुक्ति परिणाम , टीईटी , UPTET , TET: आपका एकेडेमिक गुणांक कितना है ?

UPTET - सबसे कम भर्तियां मेरठ मंडल में

UPTET - सबसे कम भर्तियां मेरठ मंडल में
जागरण ब्यूरो, लखनऊ : बेसिक शिक्षा परिषद द्वारा संचालित प्राथमिक स्कूलों में होने जा रहीं शिक्षकों की नियुक्तियां पिछड़े पूर्वांचल का घाव भरेंगी।परिषदीय प्राथमिक स्कूलों में बीएड डिग्रीधारकों की नियुक्ति के लिए होने जा रहीं 72,825 शिक्षकों की नियुक्तियों में से 36,529 भर्तियां पूर्वांचल के आठमंडलों में होंगी। जिलावार नियुक्तियों में सीतापुर में सर्वाधिक 6400 और लखीमपुर में 6200 भर्तियां होंगी। जिलों में सबसे कम भर्तियां मेरठ, बागपत, गाजियाबाद, पंचशीलनगर, गौतम बुद्धनगर, लखनऊ, कानपुर नगर, औरैया और बलिया में होंगी। इनमें से हर जिले में महज 12 नियुक्तियां होंगी। परिषदीय प्राथमिक स्कूलों में होने वाले शिक्षकों के चयन के संबंध में बेसिक शिक्षानिदेशालय ने शासन को जिलावार रिक्त पदों की सूची उपलब्ध करा दीहै। सूची के मुताबिक गोंडा, कुशीनगर व बहराइच में से प्रत्येक में 4000, हरदोई में 3200, शाहजहांपुर में 2800, महाराजगंज में 2500, गाजीपुर, मिर्जापुर व आजमगढ़ में से प्रत्येक में 2000, बलरामपुर में1800, बदायूं व सोनभद्र में से प्रत्येक में 1600, चंदौली में 1400, श्रावस्ती व पीलीभीत में से प्रत्येक में 1200, इलाहाबाद, जौनपुर, बांदा, बरेली, मुरादाबाद और भीमनगर में से प्रत्येक में 1000, रायबरेली में 900, महोबा, रामपुर, कौशाम्बी व संत रविदास नगर में से प्रत्येक में 800, कांशीरामनगर में 700, इटावा व सहारनपुर में 600, देवरिया, सुल्तानपुर व छत्रपति शाहूजी महाराज नगर में से प्रत्येक में 500, प्रतापगढ़ में 417, चित्रकूट, फर्रुखाबाद, कन्नौज, अलीगढ़, हाथरस और बस्ती में से प्रत्येक में 400, मैनपुरी, उन्नाव, गोरखपुर, हमीरपुर, फैजाबाद व बिजनौर में से प्रत्येक में 300, बुलंदशहर, आगरा, फिरोजाबाद, मथुरा, बाराबंकी,अंबेडकरनगर व ज्योतिबा फुले नगर में से प्रत्येक में 200, फतेहपुर, वाराणसी, मुजफ्फरनगर, प्रबुद्धनगर व मऊ में से प्रत्येक में 100 और कानपुर देहात में 50 पदों पर बीएड डिग्रीधारकों की नियुक्ति होगी। वहीं बीटीसी 2004, विशिष्ट बीटीसी 2004-05, 2007 व 2008 तथादो वर्षीय बीटीसी उर्दू प्रवीणताधारी प्रशिक्षण पूरा कर चुके अभ्यर्थियों की जिन 9820 पदों पर नियुक्तियां की जाएंगी उनमें मेरठ मंडल में 300, आगरा मंडल में 1240, बरेली मंडल में 610, इलाहाबाद मंडल में 500, वाराणसी मंडल में 520, मीरजापुर मंडल में 700, लखनऊ मंडल में 1210, गोरखपुर मंडल में 900, बस्ती मंडल में 400, झांसी मंडल में 180, चित्रकूट धाम मंडल में 280, फैजाबाद मंडल में 430, देवीपाटन मंडल में 500, मुरादाबाद मंडल में 500, कानपुर मंडल में 730, आजमगढ़ मंडल में 600 और सहारनपुर मंडल में 220 पदों पर भर्ती होगी। 

source dainik jagran

UGC NET result June 2012 declared: Check results

UGC NET result June 2012 has been declared. The declaration of results has ended around 3 month long wait of the aspirants who had written the National Eligibility Test on 24 June 2012.

Click here to check results

A total of 43,957 have qualified out of 5,71,627 appeared for National Eligibility Test (NET). The University Grants Commission declared the results on Tuesday, 18 September 2012.

Every year UGC conducts NET examination twice (June and December) to maintain the standards of teaching in the country. Needless say a large number of aspirants were waiting for the announcement of UGC NET June 2012 results.

This year 3625 candidates have qualified for the Junior Research Fellowship (JRF).

The detailed criteria for qualifying is available on the website. click here for details 

source. UGC WEBSITE

न था कुछ, तो ख़ुदा था; कुछ न होता, तो ख़ुदा होता

डुबोया मुझको होने ने,   न होता में,  तो क्या  होता!? 

Mirza Asadullah Baig Khan, pen-name Ghalib (Urdu/Persian) and Asad (former pen-name)(27 December 1796 15 February 1869), was a renowned classical Urdu and Persian poet of the subcontinent. Most notably, he wrote several ghazals during his life, which have since been interpreted and sung in many different ways by different people. He is considered to be the most dominating poet of the Urdu language.


here is a beautiful gazal by him

1.      aa, ki meree jaan ko qaraar naheeN hai
        taaqat-e-bedaad-e-intazaar  naheeN hai

        [ qaraar = rest/repose, bedaad = injustice ]

2.      dete haiN jannat hayaat-e-dahar ke badle
        nashsha ba_andaaza-e-KHummaar naheeN hai

        [ hayaat = life, dahar = world, ba_andaaza = according to,
          KHummaar = intoxication ]

3.      giriya nikaale hai teree bazm se mujh ko
        haay !  ki roone pe iKHtiyaar naheeN hai

        [ giriya = weeping, iKHtiyaar = control ]

4.      hamse 'abas hai gumaan-e-ranjish-e-KHaatir
        KHaak meiN ushshaaq kee GHubaar naheeN hai

        [ 'abas = indifferent, gumaan = suspicion, ranjish = unpleasantness,
          KHaak = ashes/dust, ushshaaq = lovers, GHubaar = clouds of dust ]

5.      dil se uThaa lutf-e-jalva haay ma'anee
        GHair-e-gul aainaa-e-bahaar naheeN hai

        [ ma'anee = meanings, GHair-e-gul = blossoms ]

6.      qatl ka mere  kiya  hai 'ahad to baare
        waae ! akhar 'ahad ustuwaar naheeN hai

        [ 'ahad = promise, baare = at last, ustuwaar = frim/determined ]

7.      toone qasam mai_kashee kee khaaee hai 'GHalib'
        teree  qasam  ka kuchch  'eitbaar naheeN  hai !

        [ mai_kashee = boozing, 'eitbaar = trust/faith ]

CBSE Central Teacher Eligibility Test (CTET) November 2012

The Ministry of Human Resource Development, Govt. of India has entrusted the responsibility of conducting the Central Teacher Eligibility Test (CTET) to the Central Board of Secondary Education, Delhi. The CTET score and certificate shall apply to the following categories of schools.

• Schools of the Central Government (KVS, NVS, Tibetan Schools, etc) and schools under the administrative control of UT of Chandigarh and Andaman & Nicobar Islands
• Unaided private schools, who may exercise the option of considering the CTET
• Schools owned and managed by the State Government/local bodies and aided schools shall consider the TET conducted by the State Government. However, a State Government can also consider the CTET if it decides not to conduct the State TET

Name of the post for CTET November 2012

• Teacher (for classes I to V): Primary Stage
• Teacher (for classes VI to VIII): Elementary Stage
• Teacher (for both categories)

Important Dates for CTET November 2012

• Opening date for online registration: 1 August 2012
• Closing date for online registration: 31 August 2012
• Last date for receipt of application form in CBSE: 7 September 2012
• Last date for receipt of application form in CBSE (candidates from remote areas): 14 September 2012
• Date of Written Test: 18 November 2012 (Sunday)a)      Paper I: 10.30 am to 12 pmb)      Paper II: 1.30 pm to 3 pm

Eligibility Criteria for CTET November 2012

Educational Qualification: Primary Stage (for Classes I-V)

• Senior Secondary (or its equivalent) with at least 50% marks and passed or appearing in final year of 2- year Diploma in Elementary Education (by whatever name known). OR
• Senior Secondary (or its equivalent) with at least 45% marks and passed or appearing in final year of 2-year Diploma in Elementary Education (by whatever name known), in accordance with the NCTE (Recognition Norms and Procedure), Regulations, 2002.  OR
• Senior Secondary (or its equivalent) with at least 50% marks and passed or appearing in final year of 4-year Bachelor of Elementary Education (B.El.Ed). OR
• Senior Secondary (or its equivalent) with at least 50% marks and passed or appearing in final year of 2-year Diploma in Education (Special Education). OR
• Graduation and passed or appearing in final year of two year Diploma in Elementary Education (by whatever name known).

Educational Qualification: Elementary Stage (for Classes VI-VIII)

• Graduation and passed or appearing in final year of 2-year Diploma in Elementary Education (by whatever name known). OR
• Graduation with at least 50% marks and passed or appearing in 1-year Bachelor in Education (B.Ed). OR
• Graduation with at least 45% marks and passed or appearing in 1-year Bachelor in Education (B.Ed), in accordance with the NCTE (Recognition Norms and Procedure) Regulations issued from time to time in this regard. OR
• Senior Secondary (or its equivalent) with at least 50% marks and passed or appearing in final year of 4-year Bachelor in Elementary Education (B.El.Ed). OR
• Senior Secondary (or its equivalent) with at least 50% marks and passed or appearing in final year of 4-year BA/ BSc.Ed or BA. Ed/BSc.Ed. OR 
• Graduation with at least 50% marks and passed or appearing in 1-year B.Ed. (Special Education)

Application Fee: The application fee (for Paper I OR Paper II) to be paid by Reserved Category candidate is Rs 250, and for General and OBC candidate is Rs 500. Candidates applying for both the Papers (I and II) are required to pay a fee of Rs 800 (General Category candidates) and Rs 400 for Reserved Category candidate.

The fee needs to be paid in the form of Demand Draft drawn in favour of the Secretary, Central Board of Secondary Education, Delhi drawn on any Nationalized Bank payable at Delhi. Write your registration number, name, address, and mobile/ telephone number on the back of the Demand Draft.

Pattern of Examination for CTET November 2012

The CTET examination will be of objective type Multiple Choice Question (MCQ’s).There will be no negative marking. There will be 2 papers of CTET.

• Paper I will be for a person who intends to be a teacher for classes I to V.
• Paper II will be for a person who intends to be a teacher for classes VI to VIII.

Note: A person who intends to be a teacher for both levels (classes I to V and classes VI to VIII) will have to appear in both the papers (Paper I and Paper II).

How to Apply for CTET November 2012: Candidates need to apply online by accessing the Board’s website http://www.cbse.nic.in/ or http://www.ctet.nic.in/The candidate should supply all details while filling up the online form.

Candidates are henceforth required to take a print out of the computer generated Application form/ Confirmation page after successful submission of data and send it to CBSE, CTET Unit, after affixing a passport size photograph and signature in the space provided, in an envelope of size 12”x9” super scribed in bold letters “APPLICATION FOR CTET-NOV 2012” by Registered/Speed Post.

The Application Form/ Confirmation page complete in all respect should be sent by Registered/ Speed Post so as to reach positively before the last date in the CBSE office on the following address:

The Assistant Secretary (CTET),
Central Board of Secondary Education,
A-1, Swasthya Vihar, Vikas Marg (Opp. Metro Pillar-76),
New Delhi-110 092.

The Application form sent by courier shall not be accepted and will be summarily rejected.

For more information, please CLICK HERE

To view the previous year question papers click here

Akhilesh Yadav launches unemployment allowance scheme by distributing cheques

Fulfilling his election campaign promise to give doles to jobless youth, Chief Minister Akhilesh Yadav along with his father Samajwadi Party supremoMulayam Singh Yadav distributed cheques to more than 10,000 unemployed youth on Sunday.

Addressing a large gathering of beneficiaries and party workers, Akhilesh Yadav said that with the start of the scheme he has fulfilled one more election promise. He said that all promises made in the election manifesto would be fulfilled by his government.

The unemployment allowance which was started during the previous Mulayam Singh Yadav regime was discontinued by the subsequent Chief MinisterMayawati who came to power in 2007. However, the promise to restore the scheme was seen as crucial in galvanizing youths towards the Samajwadi Party which romped home with a handsome majority in the assembly elections earlier this year.

The scheme would provide Rs 1,000 to each unemployed youth aged between 25 to 40 years and whose family income is less than Rs 36,000 per annum. To eliminate any discrepancies, the allowance would be credited to the bank account of eligible youth.

Speaking on the occasion, Akhilesh Yadav said that the fact that his government has started the unemployment allowance scheme before completing its six months in power shows their commitment to fulfill all promises made in the election manifesto.

He said that the government is speeding up industrialization and bringing fresh investments to the state so that more jobs are created but will distribute the doles till the time the youth find jobs for themselves.

He said that the government soon start distributing laptops and tablets to school passouts as part of its other big election manifesto promise.

SP supremo Mulayam Singh Yadav said that the SP government would not letdown people who voted them to power and the start of the unemployment allowance scheme was one step towards meeting expectations.

He said that the demand for unemployment allowance was first raised by late socialist thinker Ram Manohar Lohia and their government would keep working for poor minorities and backward sections of the society.

Large number of ministers and bureaucrats were present the venue where the unemployment allowance cheques were distributed. However, senior minister and party's prominent Muslim face, Azam Khan who has reportedly not been pulling along well with the Chief Minister was missing. He left for Rampur on Saturday to address a press conference though being invited for the function.

Courtsey Economic times