CLASS : X ECONOMICS - Worksheets AND KEY

Work sheet-2: Organised and Unorganised Sectors 1. South-West monsoon season in India is 1) From January to May 2) From June to September 3) From October to December 4) From March to June 2. The characteristic of Indian rainfall is 1) not uniform all over the country 2) insufficient for cultivation 3) causing floods in North-Eastern states 4) uniform all over the country 3. One of the largest rice producing states is 1) Kerala 2) Gujarat 3) Punjab 4) Andhra Pradesh 4 One of the largest wheat producing states is 1) Andhra Pradesh 2) Madhya Pradesh 3) Maharastra 4) Punjab 5. The major Kharif crop is 1) Rice 2) Wheat 3) Grain 4) Groundnut 6. Most of the rainwater needed for cultivation comes during the months of June- September, which is known s _________ monsoon. 1) South west 2) North west 3) South east 4) North east 7. Household manufacturing activity comes under _________ sector. 1) Organised 2) unorganised 3) Both 1 &2 4) None of these Work sheet-3: Population:Rural - Urban Composition 1. the 1991 census could not be held in 1) Jammu & Kashmir 2) Assan 3) AP 4) MP 2. According to 2001 census, Rural population was 1) 218 million 2) 439 million 3) 524 million 4) 741 million 3. In 1991 the literacy rate in India was 1) 43.6 per cent 2) 48.5 per cent 3) 52.2 per cent 4) 55.6 per cent 4. In 2001 the literacy rate of India was 1) 52.2 per cent 2) 55.6 per cent 3) 65.38 per cent 4) 66.4 per cent 5. The index of modernisation is 1) the decrease in the number of cities 2) the increase in the number of towns and cities 3) the growing population in rural areas 4) the stable population in rural areas 6. Literacy rate in India in 1951 is _________ 1) 18.3% 2) 52.2% 3) 16.4% 4) 88.3% 7. Literacy rate in India in 1992-93 _________ 1) 18.3% 2) 52.2% 3) 16.4% 4) 88.3% Nishith Multimedia India (Pvt.) Ltd. CLASS : X ECONOMICS NTSE - Worksheets 2 8. According to 1991 census,Rural population in India is _________ A129 millions 2) 329 millions 3) 629 millions 4)829 millions 9. At present the urban population is roughly _______ percent of India’s total population. 1) 26% 2) 20% 3) 92% 4) 80% Work sheet-4: Unequal distribution of land 1. Income earned through wealth and property is called 1) Earned income 2) Unearned income 3) Acquired income 4) Both earned and unearned incomes. 2. Zamindari system was introduced by 1) Lord Cornwallis 2) Robert Clive 3) Lord Bentinck 4) Lord Dalhousie 3. Mahalwari system was in practice in 1) Coorg 2) Agra 3) Orissa 4) Composite Madras State 4. Which of the following is an ‘Unearned income’? 1) Income from property 2) Daily wages 3) Money earned by hard work 4) Monthly salary. 5. Mahal Nobis Committee studied 1) The trade balances of India 2) The low growth rate in agricultural production 3) The causes of poverty in India 4) The personal income distribution in India 6. Under the _________ system, land is owned by a small group of families who pay rent to the State. 1) Mahalwari 2) Ryotwari 3) Zamindari 4) None of these 7. * Income earned through wealth and property is known as _________ 1) earned 2) unearned 3) profit 4) Gain 8. Under the _________ system, land is owned by a small group of families who pay rent to the State. 1) Mahalwari 2) Ryotwari 3) Zamindari 4) None of these 9. * Income earned through wealth and property is known as _________ 1) earned 2) unearned 3) profit 4) Gain 10. Disparities in wage levels are due to _________ of individuals. 1) castes 2) religions 3) earning capabilities 4)None of these Work sheet-5: India:A Mixed Economy 1. India has adopted 1) Capitalist economic system 2) Mixed economic system 3) Socialistic system 4) None of them Nishith Multimedia India (Pvt.) Ltd. CLASS : X ECONOMICS NTSE - Worksheets 3 2. The economic system in which public and private sectors exist is called 1) Socialist Economic system 2) Capitalistic Economic system 3) Mixed Economic system 4) None of them 3. ** The country that enjoys the socialist economic system 1) U.S.A. 2) U.K. 3) India 4) China 4. The main feature of Socialist Economic system is 1) State ownership to a large extent 2) the interference of the State is less 3) the ownership of the individuals 4) the joint ownership of th private and public sectors. 5. Firms operating under the ownership of the state is known as _________ 1) Private 2) Public 3) joint 4) None of these 6. Supply and demand forces determine the price level in _________system. 1) Capitalist 2) Socialistic 3) joint 4) None of these 7. The book ‘The Poverty of India” was written by _________ 1) Ambedkar 2) Dadabai Nauroji 3) D. R. Gadgil 4) Ambedkar 8. Free market conditions exist in _________ system. 1) Mixed 2) Socialistic 3) Capitalistic 4) None of these 9. _________ is the best example for Capitalist Economic system. 1) North America 2) India 3) Russia 4) China 10. In India Banking is in _________ sector. 1) Private 2) Public 3) Both 1 & 2 4) None 11. In India agriculture is in _________ sector. 1) Private 2) Public 3) Both 1 & 2 4) None 12. In India steel and iron industry is in _________ sector. 1) Private 2) Public 3) Both 1 & 2 4) None 13. In _________ economic system there will be a centralised planning. 1) Mixed 2) Socialistic 3) Capitalistic 4) None of these 14. Most of the Eastern European countries follow _________ system. 1) Mixed 2) Socialistic 3) Capitalistic 4) None of these 15. Recently some of the countries having Socialistic Economic system are learning towards _________ system. 1) Mixed 2) Socialistic 3) Capitalistic 4) None of these 16. Dividends on shares come under _________ income. 1) earned 2) unearned 3) Both 1 & 2 4) None Nishith Multimedia India (Pvt.) Ltd. CLASS : X ECONOMICS NTSE - Worksheets 4 17. Per capita income is derived at by dividing _________ by population. 1) GDP 2) NDP 3) National income 4) Capacity 18. If the production and distribution systems are in the hands of private individuals, it is called : 1) Mixed economy 2) Joint economy 3) Capitalist economy 4) Social economy 19. Lorenz Curve shows: 1) The unequal distribution of income of a country. 2) The percentage of people who are under poverty line. 3) The rate of growth of population. 4) The literacy rate of a country. 20. An example for an unorganized sector is 1) machine tools 2) automobiles 3) chemicals 4) khadi and village industries 21. Match the following i) Copitalist Economy a) India ii) Socialist Economy b) North America iii) Mixed Economy c) Eastern Europen Countries 1) i - b, ii - c, iii - a 2) i - c, ii - b, iii - a 3) i - c, ii - a, iii - b 4) i - a, ii - b, iii - c Nishith Multimedia India (Pvt.) Ltd. CLASS : X ECONOMICS NTSE - Worksheets 5 KEY WORK SHEET - 2 1. 2 2. 1 3. 4 4. 4 5. 1 6. 2 WORK SHEET - 3 1. 2 2. 4 3. 3 4. 3 5. 2 6. 1 7. 2 8. 3 9. 1 WORK SHEET - 4 1. 2 2. 1 3. 2 4. 1 5. 4 6. 1 7. 2 8. 3 WORK SHEET - 5 1. 2 2. 3 3. 4 4. 1 5. 2 6. 1 7. 2 8. 3 9. 1 10. 2 11. 1 12. 3 13. 2 14. 2 15. 3 16. 2 17. 3 18. 3 19. 1 20. 4 21. 1

RELATIONS X CLASS TOPICS

NTSE Stage-1_Mathematics
Class-X
RELATIONS WORKSHEET-1
1. If (x + 1, 1) = (3, y – 2) thne x =_________
A) x = 2, y = 3 B) x = 3, y = 2 C) x = 1, y = 1 D) x = 0, y = 0
2. If A = {–1, 1} then n(A × A × A) =________
A) 8 B) 9 C) 10 D) 7
3. The cartesian product A × A has 9 elements among which are found (–1, 0) and (0,
1) then the set A=__________
A) {1, 0} B) {–1, 0, 1} C) {0, –1} D) {–1, 1}
4. If A × B = a,1,b,3,a,3,b,1,a,2,b,2 then A =_________
A) 1,2,3 B) a,b,c C) a,b D) b,c
5. Let A = { 1, 2, 3, ..., 45} and R be the relation ‘is square of’ in A. Which of the
following is false ?
A) R = { (1, 1), (4, 2), (9, 3), (16, 4), (25, 5), (36, 6) }
B) Domain of R = { 1, 4, 9, 16, 25, 36 }
C) Range of R = { 1, 2, 3, 4, 5, 6 }
D) At least one is false
6. If the relation R : A  B, where A = { 1, 2, 3 } and B = { 1, 3, 5 } is defined by
R = { (x, y) : x < y, x A, yB }, then
A) R = { (1, 3), (1, 5), (2, 3), (2, 5), (3, 5) }
B) R = { (1, 1), (1, 5), (2, 3), (3, 5) }
C) R–1 = { (3, 1), (5, 1), (3, 2), (5, 3) }
D) R–1 = { (1, 1), (5, 1), (3, 2), (5, 3) }
7. Let R be a relation in the set N of Natural numbers defined by the relation
nRm  n is a factor of m. The relation R is
A) reflexive and symmetric only B) symmetric and transitive only
C) reflexive and transitive only D) an equivalence relation
8. Let R be a relation in N defined by R = { { (x, y) : x + 2y = 8 }. The range of R is
A) { 2, 4, 6} B) { 1, 2, 3 } C) { 1, 2, 3, 4, 6 } D) none of these’
9. Let R be a relation defined by R = { (a, b) : a  b, a, bR}. Then R is
A) an equivalence relation in R B) reflexive , transitive but not symmetric
C) symmetric, transitive but not reflexive D) only reflexive
10. A relation R is defined in the set Z of integers as follows : (x, y)R iff x2 + y2 = 9.
Which of the following is false ?
A) R = { (0, 3), (0, –3), (3, 0), (–3, 0) } B) Domain of R = { –3, 0, 3 }
C) Range of R = { –3, 0, 3 } D) At least one is false
NTSE Stage-1_Mathematics
NARAYANA GROUP OF SCHOOLS 2 of 2
Class-X
11. The relation R defined on the set A = { 1, 2, 3, 4, 5 } by R = {(x, y) : |x2 – y2| < 16} is
given by
A) { (1, 1), (2, 1), (3, 1), (4, 1), (2, 3) } B) { (2, 2), (3, 2), (4, 2), (2, 4) }
C) { (3, 3), (4, 3), (5, 4), (3, 4)} D) none of the these
12. If R = { (x, y) : x, yZ, x2 + y2  4 } is a relation in Z, then domain of R is
A) {0, 1, 2} B) {–2, –1, 0} C) {–2, –1, 0, 1, 2} D) none of these
13. Let a relation R be defined by R = {(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)}. The relation
R–1oR is given by
A) {(1, 1), (4, 4), (7, 4), (4, 7), (7, 7) } B) { (1, 1), (4, 4), (4, 7), (7, 4), (7, 7), (3, 3)}
C) {(1, 5), (1, 6), (3, 6)} D) none of these
14. The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is
A) reflexive but not symmetric B) reflexive but not transitive
C) symmetric and transitive D) neither symmetric nor transitive
15. The void relation in a set A is
A) reflexive B) symmetric and transitive
C) reflexive and transitive D) reflexive and symmetric
16. Let A = { 1, 2, 3, 4} and R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then A is
A) reflexive B) symmetric C) transitive D) none of these
17. Let R be the relation over the set N × N and is defined by (a, b) R (c, d)  a + d = b +
c. Then R is
A) reflexive only B) symmetric only
C) transitive only D) an equivalence relation.
18. R is a relation over the set of integers and it is given by (x, y)R  |x – y|  1.
Then R is
A) reflexive and symmetric B) reflexive and transitive
C) symmetric and transitive D) anti symmetric
19. Let L be the set of all straight lines in the Euclidean plane. Two lines l1 and l2 are
said to be related by the relation R iff l1  l2. Then the relation R is
A) reflexive B) symmetric C) transitive D) equivalence
20. Let R be the relation over the set of straight lines in a plane such that l R m l m.
Then R is
A) reflexive B) symmetric
C) Transitive D) an equivalence relation
NTSE Stage-1_Mathematics
NARAYANA GROUP OF SCHOOLS 3 of 3
Class-X
21. Let A = { 1, 2, 3, 4, 5, 6}. Define a relation R from A to A by
R = {(x, y) : y = x + 1}, then range of R is
A) { 1, 2, 3, 4, 5, 6} B) { 1, 2, 3, 4, 5}
C) { 2, 3, 4, 5, 6} D) { 2, 3, 4, 5}
22. Let A = {1, 2), B = {3, 4}, then number of relation from A to B is
A) 16 B) 8 C) 4 D) 32
RELATIONS WORKSHEET-1_KEY
1. A 2. A 3. B 4. C 5. D 6. A
7. C 8. B 9. B 10. D 11. D 12. C
13. D 14. A 15. B 16. D 17. D 18. A
19. D 20. B 21. C 22. A

<1 p="">NATIONAL TALENT SEARCH EXAMINATION
Learn about the Tests
Educational Survey Division
National Council of Educational Research and Training
Sri Aurobindo Marg, New Delhi-110 016
2
Learn about the National Talent Search Tests
The National Talent Search Examination will be conducted for students studying at the Class X level. The examination consists of tests, namely Mental Ability Test (MAT) and Scholastic Aptitude Test (SAT). The items in the MAT and SAT are multiple choice questions. Each question has four alternatives. The candidate has to select one correct answer from the given alternatives and mark its number in the answer-sheet as per instructions given on the answer sheet. Each correct answer carries one mark. Thus, the total score of a candidate in a test is equal to the number of questions answered correctly by him/her.
The number of questions, maximum marks and time allowed are as follows:
Test
No. of
Questions
Maximum Marks
Time
(i) Mental Ability Test
50
50
45 minutes
(ii) Scholastic Aptitude Test
a) Language Test
50
50
45 minutes
b) Sciences, Mathematics & Social Sciences
100
100
90 minutes
To acquaint the candidates with the tests, some sample questions in each i.e. MAT and SAT are given. The questions will give the candidate, a feel of the nature and the level of the questions expected in the test.
Mental Ability Test (MAT)
This test is given to the candidates to judge their power of reasoning, ability to think, ability to judge, evaluate or discriminate, ability to visualize in the space, spatial orientation, etc. A variety of questions, for example: analogies, classification, series, pattern perception, hidden figures, coding-decoding, block assembly, problem solving etc. are used for this purpose.
3
Sample Questions for Mental Ability Test (MAT)
1 In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that
code?
1. QDFHS
2. SDFHS
3. SHFDQ
4. UJHFS
2 In a queue Rekha is 9th from the back. Geeta’s place is 8th from the front. Rimya is
standing between two. What could be the minimum number of girls standing in the
queue?
1. 12
2. 14
3. 16
4. 18
3 Which one of the four diagrams given below represents school, teachers and students?
1 2 3 4
4
Sample Questions for Scholastic Aptitude Test (SAT)
LANGUAGE TEST
Language Test is designed to judge the power of reading comprehension, logical sequencing; interpretative, evaluative, predictive and creative components of language. The candidates may please carefully note that language test is to be attempted either in English or in Hindi (as per option of the candidate) in the national level NTSE.
Sample Questions in English Language
I. Read the following passage about the people of Coorg and answer the questions that follow.
The fiercely independent people of Coorg are possibly of Greek or Arab descent. As one story goes, a part of Alexander’s army moved south along the coast and settled here when return became impractical. These people married amongst the locals and their culture is apparent in the martial traditions, marriage and religious rites, which are distinct from the Hindu mainstream. The theory of Arab origin draws support from the long, black coat with an embroidered waist-belt worn by the Kodavus known as kuppia, it resembles the kuffia worn by the Arabs and the Kurds.
1. The word ‘possibly’ means…
1. The writer has good reasons to believe that the Coorgs are of Greek or Arab descent.
2. The writer is not sure.
3. The writer is stating a fact.
4. The writer says that it is unlikely.
2. Return became ‘impractical ‘ means
1. The Greeks could not go back.
2. The Greeks wanted to stay back.
3. They found it difficult to go back.
4. They found it frivolous to go back.
3. ‘distinct from the Hindu mainstream’ means
1. Clear
2. Differentiated
3. Similar
4. Obscure
4. The Arab origin of the Coorg implies
1. How the Arab originated
2. How the idea that the Coorgs are of Arab origin originated
3. How a theory originated among Arabs
4. Living in Coorg is same as living in Iraq
5
5. Find the adjective that describe the Coorg
1. Independent
2. Impractical
3. Protective of their identity
4. Distinct
II. The following five sentences come from a paragraph. First and last sentences are given. Choose from the given three sentences (P,Q,R) the order in which they appear to complete the paragraph.
S1 Many new government buildings in Delhi will have cool roofs
S2 ___________________________________________________
S3____________________________________________________
S4 ____________________________________________________
S5 A white wash of a dark roof is one cheap and simple option.
P This will help reduce energy use by air conditioners.
Q They will reflect sunlight and heat unlike conventional dark ones.
R Cool roofs do not require high level ‘rocket technology’.
Choose from the option given below.
1. PQR
2. RQP
3. QPR
4. PRQ
III. Rearrange the words into meaningful sentences.
1. /we / since / my brother / in this place / have been living /was born. /
2. /are /many ways / theorem /where /a mathematical / can be/ proved./
3. /on/stay/ their seats / passengers/ has opened / conductor / door / requested/ are/ the / until/ the /
4. / before / diseases / known / 18th century / some / not / were / of / these / the/ common/
5. /cancer/ her / had / family/ knew/even/Anand/ but / did not / tell / he /his/
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IV. Find the word which best completes the sentence. 1. Apart from the _____________ cough and cold, I have been remarkably healthy all my life. 1. odd 2. opportune 3. irregular 4. timely 2. Our hosts had prepared a ___________meal with five courses to celebrate our arrival. 1. Generous 2. profuse 3. lavish 4. extraordinary V. There are different names for the word ‘storm’ depending on their nature. Choose from the box below which suits the definition of the word. 1. A violent tropical storm in which strong winds move in a circle. 2. An extremely strong wind. 3. A violent tropical storm with very strong winds. 4. A violent storm whose centre is a cloud in the shape of a funnel. 5. A violent storm with very strong winds, especially in the western Atlantic ocean. 6. A very strong wind that moves very fast in a spinning movement and causes a lot of damage.
a. Gale
b. Whirlwind
c. Cyclone
d. Hurricane
e. Tornado
f. Typhoon
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VI. Choose the correct phrase from the given options to complete the sentences.
1. It requires such depth of oppression ________________________
1. not to create a fear.
2. to create such heights of character.
3. for a free country.
4. to lead to unpleasantness.
2. Courage was not the absence of fear ______________________
1. but the triumph over it.
2. but the fight over it.
3. but the feel of it.
4. but an act of self preservation.
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हिन्दी भाषा में नमूना प्रश्न
I.
9
II.
10
III.
IV.
V.
VI.
11
VII.
12
Sample Questions for Scholastic Aptitude Test (SAT)
Sample Questions in Social Sciences
1
Trace the growth of different strands of National Movement in India in time sequence.
a. Establishment of Depressed Classes Association
b. Indian Industrial and Commercial Congress
c. “Purna Swaraj”
d. Non-cooperation and Khilafat Movement
1. a, c, d, b
2. d, b, c, a
3. c, a d, b
4. d, c, b, a
2
Match the natural vegetation in Column I with the State in Column II
Column I
Column II
A.
Tropical Evergreen Forest
1.
Rajasthan
B.
Tropical Deciduous Forest
2.
Kerala
C.
Montane Forest
3.
Uttarakhand
D.
Tropical Thorn Forest
4
Jharkhand
1. A2, B1, C3, D4
2. A2, B3, C4, D1
3. A2, B4, C3, D1
4. A4, B2, C3, D1
3
Ford Motors, an MNC wants to invest in India for manufacturing automobiles because
1. they can hire cheap labour.
2. tax laws are very stringent.
3. industrial licensing policy is applicable.
4. foreign companies are regulated.
1. I-B, II-D, III-C, IV-A
2. I-C, II-D, III-B, IV-A
3. I-C, II-B, III-A, IV-D
4. I-A, II-C, III-B, IV-D
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4
Which of the following situations is the example of violation of the Principle of ‘free and fair election’?
1. A candidate openly supports reservation on the caste basis and gets overwhelming support of the voters of a particular caste.
2. A party promises in its election manifesto that if it wins, it will make a policy to give every household a free TV set.
3. A Leader declares that if his party forms the government it would waive the loans of small farmers.
4. A candidate distributes motorcycles to all those who manage more than one hundred votes in his favour.
14
Sample Questions in Sciences and Mathematics
1
An element ‘A’ reacts with oxygen to form a protective layer of compound ‘B’. The component ‘B’ is also obtained by the reaction of ‘A’ with rust. The compound ‘B’ is known to react both with acids and bases. Identify the element ‘A’.
1. Silver
2. Aluminium
3. Copper
4. Magnesium
2
In a fight and flight situation, adrenaline hormone is secreted to enable to deal with, the responses include:-
A. Increase in blood supply to skeletal muscle and contraction of diaphragm.
B. Increase in blood supply to digestive system and contraction of rib muscle.
C. Supply of more oxygen to muscle and reduced blood supply to skin.
D. Increase in heart beats, breathing rate and increase blood supply to digestive system.
1. A & D
2. B & D
3. B & C
4. A & C
3
A horse pulls a carriage with a force P. Which two among the following statements are correct?
a) The carriage also pulls the horse back with a force P.
b) Since the carriage pulls the horse back with a equal force P, the system does not move at all.
c) The system moves because the horse can hit the ground with its hoofs; the horizontal component of whose reaction is greater than the total frictional and other forces of resistance offered by the ground.
d) The acceleration of the horse and the carriage are unequal.
1. a and b
2. a and c
3. a and d
4. c and d
15
4
ABCD is a quadrilateral, and AB2 + BC2 + CD2 + DA2 = AC2 + BD2. Then
1. All angles of ABCD are equal.
2. All sides of ABCD are equal.
3. ABCD must be a parallelogram.
4. ABCD is a trapezium.
5
There are two cups filled with equal amount of tea and coffee. A spoonful of coffee is first transferred from coffee-cup to the tea-cup and then a spoonful from the tea-cup is transferred to the coffee-cup, then
1. Amount of tea in the coffee-cup is more than the amount of coffee in the tea-cup.
2. Amount of coffee in the tea-cup is more than the amount of tea in the coffee-cup.
3. Amount of coffee in the tea-cup is the same as the amount of tea in the coffee-cup.
4. These amounts cannot be compared unless the volume of spoon and that of the cups are known.>