NUMBER SYSTEM

        NUMBER THEORY QUESTIONS

 1.) If both 11² and 3³ are factors of the number a * 4³ * 6² * 13¹¹, then what is the smallest possible value of 'a'?

2.) Find the largest five digit number that is exactly divisible by 7, 10, 15, 21 and 28. 

3.) Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product? 

4.) When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12? 

5.) What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers? 

NTSE Geography: Sample Questions

NTSE GEOGRAPHY SAMPLE PAPER

1. Primary rocks are the result of the following process:(a) sedimentation (b) solidification(c) metamorphism (d) compression

2. The most abundant minerals in the crust are:(a) phosphates (b) silicates(c) sodium (d) oxygen

3. The peeling of rocks into layers of sheets:(a) Earth flow (b) Land slide(c) Exfoliation (d) none of these

4. The various kinds of downhill movement, occurring due to gravitation force are known as:(a) mass wasting (b) erosion(c) gradation (d) degradation

5. The Bermuda is a good example of:(a) sea mount (b) ridge(c) oceanic rise (d) Abyssal hill

6. The temperature of the surface water of the oceans is:(a) 25.7ºC (b) 26.7ºC(c) 27.7ºC (d) 25.0ºC

7. The most commonly used and accurate method of showing relief feature on the map is:(a) shading (b) symbols(c) contours (d) none of these

8. The understanding of the regional and periodical changes in an region are shown by:(a) cadastral maps (b) conventional symbols(c) thematic maps (d) contours

9. Transhumance is mainly carried out by the people living in:(a) the tropical forests (b) mountainous areas(c) both of the above (d) none of the above

10. Which is the main occupation of Eskimos?(a) lumbering in winter (b) hunting(c) both of the above (d) none of the above

11. The most common local winds of Switzerland are :(a) the chinook (b) sirocco(c) the fohn (d) harmattan

12. The parts of Brazilian plateau, the Orinoco sin in South America have :(a) temperate grasslands (b) tropical grasslands(c) mid latitude deserts (d) tropical deserts

13. River Brahmaputra forms a gorge at:(a) Nathula pass (b) Bomdila pass(c) Namcha barwa (d) none of the above

14. Which of the following are the features of the river in the plains?(a) Gorge (b) Levees(c) Deltas (d) Estuaries

15. Calamity of the month of Baisakh is called Baisakhi:(a) is also called as Norwesters (b) brings sharp showers to Assam Bengal(c) suits to tea plantations (d) all of the above

16. Which of the following is incorrect?(a) the windward side of Sahyadris receive heavy rains(b) the sudden approach of the moisture laden winds is burst of the monsoons(c) rainfall decreases from east to west and south to north(d) the months of October-November from a period of transition from dry winter condition to hot rainy season

17. South eastern half of India is covered by:(a) red soils (b) yellow and black soil(c) red and yellow soils (d) none of the above

18. The vegetation find in laterite soil is:(a) scrubs and pastures (b) cotton crop(c) tea plantations (d) none of the above

19. The deepest, land-locked and protected port on the east coast is :(a) Paradwip (b) Haldia(c) Chennai (d) Vishakapatnam

20. Hinterland is :(a) the area in the sea coast to land the (b) the area immediately behind the(c) the area used to repair the ships (d) none of the above

Consumer Rights: Economics

CONSUMER RIGHTS 

These verdicts came about becausesome people persisted and struggledto get justice. In what ways were theydenied justice? More importantly,what are the ways in which they canexercise their rights as consumers toget a fair deal from the sellers whenthey felt they had been denied a justtreatment?We participate in the market both asproducers and consumers. Asproducers of goods and services wecould be working in any of the sectorsdiscussed earlier such as agriculture,industry, or services. Consumersparticipate in the market when theypurchase goods and services that theyneed. These are the final goods thatpeople as consumers use.In the preceding chapters wediscussed the need for rules andregulations or steps that wouldpromote development. These could befor the protection of workers in theunorganised sector or to protectpeople from high interest ratescharged by moneylenders in theinformal sector. Similarly, rules andregulations are also required forprotecting the environment.For example, moneylenders in theinformal sector that you read aboutin Chapter 3 adopt various tricks tobind the borrower: they could makethe producer sell the produce to themat a low rate in return for a timely loan;they could force a small farmer likeSwapna to sell her land to pay backthe loan. Similarly, many people whowork in the unorganised sector haveto work at a low wage and acceptconditions that are not fair and arealso often harmful to their health. Toprevent such exploitation, wehave talked of rules and regulationsfor their protection. There areorganisations that have struggledfor long to ensure that these rules arefollowed.THE CONSUMER IN THE MARKETPLACELikewise, rules and regulations arerequired for the protection of theconsumers in the marketplace.Individual consumers often findthemselves in a weak position.Whenever there is a complaintregarding a good or service that hadbeen bought, the seller tries to shiftall the responsibility on to the buyer.Their position usually is – “If youdidn’t like what you bought, pleasego elsewhere”. As if the seller has noresponsibility once a sale iscompleted! The consumer movement,as we shall discuss later, is an effortto change this situation.Exploitation in the marketplacehappens in various ways. Forexample, sometimes traders indulgein unfair trade practices such as whenshopkeepers weigh less than whatthey should or when traders addcharges that were not mentionedbefore, or when adulterated/defectivegoods are sold.Markets do not work in a fairmanner when producers are few andpowerful whereas consumerspurchase in small amounts and arescattered. This happens especiallywhen large companies are producingthese goods. These companies withhuge wealth, power and reach canmanipulate the market in variousways. At times false information ispassed on through the media, andother sources to attract consumers.For example, a company for yearssold powder milk for babies all over
the world as the most scientificproduct claiming this to be betterthan mother’s milk. It took years ofstruggle before the company wasforced to accept that it had beenmaking false claims. Similarly, along battle had to be fought withcourt cases to make cigarette manufacturingcompanies accept thattheir product could cause cancer.Hence, there is a need for rules andregulations to ensure protection forconsumers.THEY PURPOSELY MADE ITSO IT WOULD FALL APARTAFTER A FEW MONTHS SOTHAT I WILL BUY A NEW ONE!CONSUMER RIGHTS 

Rise Of Nationalism in Europe

The Rise of Nationalism in Europe

This chapter will deal with many of the issues visualised by Sorrieu
 During the nineteenth century, nationalism emerged as a
force which brought about sweeping changes in the political and
mental world of Europe. The end result of these changes was the
emergence of the nation-state in place of the multi-national dynastic
empires of Europe. The concept and practices of a modern state, in
which a centralised power exercised sovereign control over a clearly
defined territory, had been developing over a long period of time
in Europe. But a nation-state was one in which the majority of its
citizens, and not only its rulers, came to develop a sense of common
identity and shared history or descent. This commonness did not
exist from time immemorial; it was forged through struggles, through
the actions of leaders and the common people. This chapter will
look at the diverse processes through which nation-states and
nationalism came into being in nineteenth-century Europe.


She is followed by the peoples of Germany, bearing the black, red
and gold flag. Interestingly, at the time when Sorrieu created this
image, the German peoples did not yet exist as a united nation – the
flag they carry is an expression of liberal hopes in 1848 to unify the
numerous German-speaking principalities into a nation-state under
a democratic constitution. Following the German peoples are the
peoples of Austria, the Kingdom of the Two Sicilies, Lombardy,
Poland, England, Ireland, Hungary and Russia. From the heavens
above, Christ, saints and angels gaze upon the scene. They have
been used by the artist to symbolise fraternity among the nations of
the world.

New words
Absolutist – Literally, a government or
system of rule that has no restraints on
the power exercised. In history, the term
refers to a form of monarchical
government that was centralised,
militarised and repressive
Utopian – A vision of a society that is so
ideal that it is unlikely to actually exist
identifiable by the revolutionary tricolour, has just reached the statue.

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NTSE Stage-2 2013

As we all know, the selected students in Stage 1 of NTSE 2013 will have to give their second stage on 12th May, 2013.We have a quite a good time for our preparations.Board Exams will also end by 20th March for ICSE and 31st March for CBSE.So, we will have to concentrate on NTSE Stage 2 preparation.

I am providing some questions which are MUST practise for every student giving NTSE Stage-2.
So here I go:

1. The least distance of distinct vision for a youngadult with normal vision is about :-(1) 25 m (2) 2.5 cm (3) 2.5 m (4) 25 cm2. The commercial unit of electrical energy is :-(1) Joule (2) Watt(3) Watt hour (4) Kilowatt hour3. An electric bulb is rated 220 V and 100 W.When it is operated on 110 V, the powerconsumed will be :-(1) 100 W (2) 25 W (3) 75 W (4) 50 W4. An object weighs 60 N when measured on thesurface of the earth. What would be its weightwhen measured on the surface of the moon ?(1) 60 N (2) 10 N (3) 30 N (4) Zero5. A man with a box on his head is climbing up aladder. The work done by the man on the box is :-(1) Positive (2) Negative(3) Zero (4) Undefined6. An ammeter is always connected in ..... and avoltmeter in ...... The suitable words, in order,for the blanks are :-(1) Series; series(2) Parallel ; parallel(3) Parallel ; series(4) Series ; parallel7. An ice cube is floating in a glass of water. Whathappens to the water level when the ice melts?(1) Rises(2) Falls(3) Remains same(4) First rises and then falls8. Which of the following produces more severeburns ?(1) hot air (2) sun rays(3) boiling water (4) steam9. A fan produces a feeling of comfort during hotweather because :-(1) fan supplies cold air(2) our perspiration evaporates rapidly(3) our body radiates more heat in air(4) conductivity of air increases10. The echo will be heard if the original soundreflected by an obstacle reaches our ears after:-(1) 10 s (2) 5 s (3) 1 s (4) 0.1 s
28. The electronic configuration of an elementhaving atomic number 17 is :-(1) 1s2, 2s22p6, 3s23p6(2) 1s2, 2s22p6, 3s23p4, 4s1(3) 1s2, 2s22p6, 3s23p5(4) 1s2, 2s22p6, 3s23p2,4s24p129. Which of the following contains larger amountof atom ?(1) 3.5 g CO2 (2) 3.5 g NaCl(3) 3.5 g N2 (4) 3.5 g O230. In the reaction : N2(g) + 3H2(g)‡ˆˆˆ†ˆ 2NH3(g)the value of the equilibrium constant depends on:-(1) Volume of the reaction(2) Total pressure of the system(3) The initial concentration of N2 & H2(4) The temperature31. Which of the following molecules contains adouble bond :-(1) N2 (2) C2H4 (3) PH3 (4) CCl432. The chemical substance present in lime wateris :-(1) Calcium chloride (2) Calcium oxide(3) Calcium hydroxide (4) Calcium nitrate33. Which organic compound is used for theartificial ripening of fruits :-(1) Ethene (2) Ethane(3) Propane (4) All of the above34. From amongst following metals which metal ispoorest conductor of electricity :-(1) Pb (2) Ag (3) Hg (4) Al35. The pH value of pure water can be increased by:-(1) Adding an acid(2) Removing some water(3) Adding a base(4) None of the above36. If 13.69 = x , then1369 + 0.1369 + 0.001369 is equal to -(1) 10.01 x (2) 10.101 x(3) 10.11 x (4) 11.10 x37. A two digit positive number is such that theproduct of two digits is 24. When 45 is addedto the number, then the digits interchange theirplaces. Number is -(1) 46 (2) 38(3) 24 (4) none of these
56. Three friends Mr. White, Mr. Black & Mr. Redmet in a cafeteria. "It is remarkable that one ofus has white hair, another one has black hair& third one has red hair, though no one's namegives the colour of their hair", said the blackhaired person. "You are right", answered Mr.White, then(1) Mr. White's hair colour is black(2) Mr. Red's hair colour is black(3) Mr. Black's hair colour is red(4) Mr. Red's hair colour is red57. If perimeter of a certain sector of a circle isequal to half of the circle of which it is a part,then circular measure of the angle of sector is-(1)p2(2) p (3) p + 2 (4) p – 2

NTSE Introduction 2013

Copyrights Reserved.

ABHAY GUPTA.

The National Talent Search Examination (NTSE) is a National level scholarship program in India to Identify and Nurture talented students. It honours and helps talented students by providing financial assistance in the form of a monthly scholarship for a entire academic career.

Eligibility
Students of Class 10 studying in recognized schools are eligible to appear this examination.

Scholarship
On the basis of the examination conducted, 1000 scholarships will be awarded all over India to each student appearing for Class 10 examinations. Awardees of National Talent Search Examination will receive a sum of Rs. 500/- per month as per rules.

For the courses in Basic sciences, Social Sciences and Commerce, this assistance is provided up to Ph.D. level. For professional courses like Engineering, Medicine, Management and Law, this assistance is given only up to Post Graduation.

State Quota and Reservation
Each State / Union Territory has been allotted a quota to recommend a specific number of candidates for the Stage-II examination. However, there will be no State / Union Territory quota for the final award of Scholarship after the Stage-II examination.

Total 1000 students are selected for scholarship and out of them 15% scholarships will be reserved for students belonging to the SC category, 7.5% scholarships for students belonging to the ST category and 3% for Physically Challenged Group of Students.

Selection Procedure
There will be a three stages selection process for the award of scholarship. For Stage-I, selection will be done by States / UTs through a written examination. Students who qualify Stage-I will be eligible to appear for Stage-II examination conducted byNational Council of Education Research & Training (NCERT).

The Stage-II examination consists of a written examination conducted at National level, the qualified students of Stage-2 will have to appear for an Interview (Stage-III). The final award of scholarship shall be declared on the basis of both the National level written examination and the interview.

Eligibility for NTSE Stage-1
Students of Class-VIII studying in recognized schools are eligible to appear Stage-I examination conducted by the States / UTs and through school only. There will be no domicile restriction. Indian Students studying abroad can appear directly for Stage II NTS Examination under conditions prescribed in the NTS brochure for class VIII which is available on the NCERT website.

Pattern of Examination

• Stage-I examination at the State / UT level will comprise two parts, namely (a) Mental Ability Test (MAT) and (b) Scholastic Ability Test (SAT) covering Social Science, Science and Mathematics. Each test (MAT & SAT) will be of 90 minutes duration and will comprise of 90 objective questions.
• Stage-II examination at the National level will comprise (a) Mental Ability Test (MAT) and (b) Scholastic Ability Test (SAT) covering Social Science, Science and Mathematics,. Each test (MAT & SAT) will be of 90 minutes duration and will comprise of 90 Objective and 10 subjective questions. 

Both the Written Examinations (at the State as well as National level) will comprise of Objective Questions (Multiple Choice) only. There will be no negative marking.

Application Form

• Option-I Application forms can be downloaded from NCERT website. All correspondence related to application forms should be addressed to the State Liaison Officers whose addresses are given on the website. The completed application forms duly signed by the Principal of the school should be submitted to the Liaison Officer before the last date.
• Option-II It can be collected from school coordinator.

Examination Fee
States and Union Territories may notify the fee required which will be paid for the Stage-I examination (Approx Rs. 50/-). However, NCERT does not charge any fee for the Stage-II examination.

Announcement of Results
Results of the Stage-I examination will be announced by the respective State Governments / Union Territories in last week of January or 2nd week of February. (Total 4000 students qualify Stage-I).
Result of Stage-II examination (National Level) will be announced by NCERT in the month of July every year (Total 1000 students qualify stage-II).

Contact
The Head Department of Educational Measurement & Evaluation
NCERT
Sri Aurobindo Marg
New Delhi - 110016
For Examination enquiry: Tel. No.: 011-26560464
For Scholarship enquiry: Tel. No.: 011-26562704
Fax: 011-06515382
Email: director.ncert@nic.in ; Website: www.ncert.nic.in