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
MATHS , ENGLISH, PHYSICS, SOCIAL , ECONOMICS, CIVICS, CHEMISTRY, WORKSHEETS.MOVIES, ABOUT STUDY MATERIALS . NATURIAL HEALTH PROGRAMMES
Tuesday, April 30, 2013
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, yB }, 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, bR}. 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, yZ, 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
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, yB }, 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, bR}. 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, yZ, 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
Subscribe to:
Posts (Atom)
Popular posts
-
1. How to Find the Square of Number ending with 5? We know • 52 = 25 • 152 = 225 • 252 = 625 Now see the similarity. In all these numbers...