cmmc-2020 · 2020. 2. 25. · cmmc-2020 std x – maths, science and social science | cbse multiple...

CMMC-2020 STD X – MATHS, SCIENCE AND SOCIAL SCIENCE | CBSE

Multiple Choice Questions | Number of questions: 120 | Max Marks: 120 | Time: 120 Minutes

Sri Sathya Sai Skills School, Sri Sathya Sai Nivas, # 41/16, Ramakrishnan St., Perambur, CH-11/

MATHEMATICS (40 x 1 = 40 marks)

1) If two positive integers p and q can be expressed as 𝑝 = 𝑎𝑏2 and 𝑞 = 𝑎3b; where a,b being prime numbers, then LCM (p, q) is equal to A) ab B)𝑎2𝑏2 C) 𝑎3𝑏2 D) 𝑎2𝑏3 2) The ratio between the LCM and HCF of 5, 15, 20 is: A) 9:1 B) 4:3 C) 11:1 D) 12:1 3) 4 Bells toll together at 9.00 am. They toll after7, 8, 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours? A) 3 B) 4 C) 5 D) 6 4) If one of the zeroes of the quadratic polynomial (𝑘 − 1)𝑥2 + 𝑘𝑥 + 1 is -3, then the value of k is

A)4

3 B)

−4

3 C)

2

3 D)

−2

3

5) If 4𝑥2 − 6𝑥 − 𝑚 is divisible by 𝑥 − 3, the value of m is exact divisor of A) 9 B) 45 C) 20 D) 36 6) Consider the following statements i) 𝑥 − 2 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 𝑥3 − 3𝑥2 + 4𝑥 − 4 ii) 𝑥 + 1 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 2𝑥3 + 4𝑥 + 6 iii) 𝑥 − 1 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 𝑥5 + 𝑥4 − 𝑥3 + 𝑥2 − 𝑥 + 1 In these statements A) 1 and 2 are correct B) 1,2 and 3 are correct C) 2 and 3 are correct D) 1 and 3 are correct

7) If 𝑓(𝑥) = 5𝑥 − 10 is divided by 𝑥 − √2, then the remainder will be A) Non zero rational number B) An irrational number

C) 0 D) 𝑓 (1

√2)

8) The pair of equations 𝑥 = 𝑎 and 𝑦 = 𝑏 graphically represents lines which are A) Parallel B) Intersecting at (b, a) C) Coincident D) Intersecting at (a, b) 9) A pair of linear equations which has a unique solution 𝑥 = 2, 𝑦 = −3 is A) 𝑥 + 𝑦 = −1; 2𝑥 − 3𝑦 = −5 B)2𝑥 + 5𝑦 = −11; 4𝑥 + 10𝑦 = −22 C) 2𝑥 − 𝑦 = 1; 3𝑥 + 2𝑦 = 0 D) 𝑥 − 4𝑦 − 14 = 0; 5𝑥 − 𝑦 − 13 = 0 10) Using the following equations

4

𝑥+6y =10

1

𝑥− 6𝑦 = 5

Find the value of 𝑝 𝑖𝑓 𝑝 = 5𝑥 A) 1 B) 2 C) 3 D) 4




11) If (1 − 𝑝) is a root of the equation 𝑥2 + 𝑝𝑥 + 1 − 𝑝 = 0, then roots are A) 0,1 B) -1,1 C) 0,-1 D) -1,2 12) If 𝛼,𝛽 are roots of the equation 𝑥2 + 5𝑥 + 5 = 0, then equation whose roots are 𝛼 + 1 𝑎𝑛𝑑 𝛽 + 1 𝑖𝑠 A) 𝑥2 + 5𝑥 − 5 = 0 B) 𝑥2 + 3𝑥 + 5 = 0 C) 𝑥2 + 3𝑥 + 1 = 0 D) Non of these 13) If 𝑝, 𝑞 𝑎𝑛𝑑 𝑟 are rational numbers and 𝑝 ≠ 𝑞 ≠ 𝑟, then roots of the equation (𝑝2 − 𝑞2)𝑥2 − (𝑞2 − 𝑟2)𝑥 + (𝑟2 − 𝑝2) = 0 are

A) 𝑝

𝑞,𝑟

𝑝 B)

𝑝2

𝑞2, 𝑟2

𝑞2 C) 1,𝑝2−𝑞2

𝑟2−𝑝2 D) −1𝑝2−𝑟2

𝑝2 −𝑞2

14) If 𝛼 + 𝛽=4 and 𝛼3 + 𝛽3 = 44, then 𝛼, 𝛽 are the root of the equation A) 2𝑥2 − 7𝑥 − 7 = 0 B) 3𝑥2 + 8𝑥 + 12 = 0 C) 3𝑥2 − 12𝑥 + 5 = 0 D) None of these 15) If the equation 𝑥2 − (2 + 𝑚)𝑥 + (−𝑚2 − 4𝑚 − 4) = 0 has coincident roots, then A) m=0,m=1 B) m=2, m=2 C) m=-2,m=-2 D)m=6, m=1 16) If p, q, r in AP, then 𝑝3 + 𝑟3 − 8𝑞3 is equal to A) 4𝑝𝑞𝑟 B) −6𝑝𝑞𝑟 C) 2𝑝𝑞𝑟 D) 8𝑝𝑞𝑟 17) Two APs have been same common difference. The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th term is A) -1 B) -8 C) 7 D) -9 18) If the common difference of an AP is 3, then 𝑎20 − 𝑎15 is A) 5 B) 3 C) 15 D) 20 19) The first term of an AP of consecutive integers is 𝑝2 + 1. The sum of 2𝑝 + 1 terms of this AP is A) (𝑃 + 1)2 B) (2𝑝 + 1)(𝑝 + 1)2 C) (𝑃 + 1)3 D) 𝑝3 + (𝑝 + 1)3 20) If the sum of first n terms of an Ap is An + 𝐵𝑛2 where A and B are constants, the common difference of AP will be A) A+B B) A-B C) 2A D) 2B 21) An AP consists of 31 terms. If its 16th term is m, then sum of all the terms on this AP is A)16 𝑚 B)47 𝑚 C) 31 𝑚 D) 52 𝑚 22) If ∆𝐴𝐵𝐶~∆𝐸𝐷𝐹 𝑎𝑛𝑑 ∆𝐴𝐵𝐶 is not similar to ∆𝐷𝐸𝐹, then which of the following is not true? A) BC. EF = AC.FD B) AB.EF=AC.DE C) BC.DE = AB.EF D) BC.DE = AB.FD




23) In the given figure, 𝐴𝐷

𝐵𝐷=

𝐴𝐸𝐸𝐶 𝑎𝑛𝑑 ∠𝐴𝐷𝐸 = 70°, ∠𝐵𝐴𝐶 = 50°, then angle ∠𝐵𝐶𝐴 =

A) 70° B) 50° C) 80° D) 60° 24) ABC and BDE are two equilateral triangles such that D is mid-point of BC. Ratio of the areas of triangles ABC and BDE is A) 2:1 B) 1:4 C) 1:2 D) 4:1 25) If in two triangles DEF and PQR, ∠𝐷 = ∠𝑄 𝑎𝑛𝑑 ∠𝑅 = ∠𝐸, then which of the following is not true?

A) 𝐸𝐹

𝑃𝑅=

𝐷𝐹

𝑃𝑄 B)

𝐷𝐹

𝑃𝑄=

𝐸𝐹

𝑅𝑃 C)

𝐷𝐸

𝑄𝑅=

𝐷𝐹

𝑃𝑄 D)

𝐸𝐹

𝑅𝑃=

𝐷𝐸

𝑄𝑅

26) The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is A) 9cm B) 10 cm C) 8cm D) 20 cm

27) A circle drawn with origin as the centre pases through (13

2, 0). The point which does

not lie in the interior of the circle is

A) (−3

4, 1) B) (2,

7

3) C) (5, −

1

2) D) (−6,

5

2)

28) If the segment jointing the points (a,b) and (c,d) subtends a right angle at the origin, then A) ac-bd=0 B) ac+bd =0 C) ab+cd =0 D) ab-cd=0 29) The perimeter of a triangle with vertices (0,4), (0,0) and (3,0) is

A) 5 B) 12 C) 11 D) 7+√5 30) If the distance between the points (4,p) and (1,0) is 5 units, then the value of p is A) 4 only B) ±4 C) -4 only D) 0 31) The vertices of a triangle are (0, 0), (3,0) and (0,4). The centroid of the triangle is

A) (1

2, 2) B) (1,

4

3) C) (1,1) D) (0,3)

32) If P(1,2), 𝑄(4,6), 𝑅(5,7)𝑎𝑛𝑑 𝑆(𝑎, 𝑏)𝑎𝑟𝑒 𝑡ℎ𝑒 𝑣𝑒𝑟𝑡𝑖𝑐𝑒𝑠 𝑜𝑓 𝑎 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙𝑜𝑔𝑟𝑎𝑚 𝑃𝑄𝑅𝑆, A) 𝑎 = 2, 𝑏 = 4 B) 𝑎 = 3, 𝑏 = 4 C) 𝑎 = 2, 𝑏 = 3 D) 𝑎 = 3, 𝑏 = 5 33) The area (in square units) of the triangle AOB formed by the points A (a,0), O(0,0) and B(0,b) is

A) ab B) 1

2𝑎𝑏 C)

1

2𝑎2𝑏2 D)

1

2𝑏2




34) If tan 𝜃 =𝑎

𝑏 then the value of

a sin 𝜃+𝑏 cos 𝜃

a sin 𝜃−𝑏 cos 𝜃 is

A) 𝑎2−𝑏2

𝑎2+𝑏2 B) 𝑎2+𝑏2

𝑎2−𝑏2 C) 𝑎

𝑎2+𝑏2 D) 𝑏

𝑎2+𝑏2

35) If 3 cot 𝜃 = 2, then the value of tan 𝜃

A) 2

3 B)

3

2 C)

3

√13 D)

2

√13

36) If sin 𝜃 = √3 cos 𝜃, 0° < 𝜃 < 90°, then 𝜃 is equal to A) 30° B) 45° C) 60° D) 90° 37) If cos(∝ +𝛽) = 0, then sin (∝ −𝛽) can be reduced to A) cos 𝛽 B) cos 2𝛽 C) sin𝛼 D) sin 2𝛼 38) If cos 9𝛼= sin 𝛼 𝑎𝑛𝑑 9𝛼 < 90°, then the value of tan 5𝛼 𝑖𝑠

A) 1

√3 B) √3 C) 1 D) 0

39) sin(45° + 𝜃) − 𝑐𝑜𝑠(45° − 𝜃) is equal to A) 2cos 𝜃 B)0 C) 2sin 𝜃 D) 1 40) The value of the expression [cosec(75° + 𝜃) − 𝑠𝑒𝑐(15° − 𝜃) − tan(55° + 𝜃) +cot(35° − 𝜃)] is

A) -1 B) 0 C) 1 D) 3

2

*************************************************************************************

SCIENCE (40 x 1 = 40 marks) 1) The number of covalent bonds in 𝐶4𝐻10 is A) 10 B) 8 C) 13 D) 12 2) Buckminster fullerene is an allotropic form of A) Phosphorus B) Sulphur C) Carbon D) Tin 3) Chlorine reacts with saturated hydrocarbons at room temperature in the A) Absence of sunlight B) Presence of sunlight C) Presence of water D) Presence of hydrochloric acid 4) Which of the following does not belong to the same homologous series? A) CH4 B) C2H6 C) C3H8 D) C4H8

5) The heteroatoms present in CH3-CH2-O-CH2-CH2Cl are i. Oxygen ii) Carbon iii) Hydrogen iv) Chlorine A) (i) and (ii) B) (ii) and (iii) C) (iii) and (iv) D) (i) and (iv)




6) Ethanol reacts with Na metal to form A) CH3ONa+H2 B) C2H5ONa+H2 C) CH3OCOONa+H2 D) CH3COOH+H2O 7) The blindness and death is caused by consuming adulterated liquor contains. A) CH3OH B) CH3COOH C) CH3COCH3 D) CH3CHO 8) An element has atomic number 17. To which group, period does it belong? It is metal or non-metal? A) 7th group, 2nd period, non-metal B) 17th group, 3rd period, non-metal C) 7th group, 3rd period, metal D) 17th group, 3rd period, metal 9) Which of the following is correct order of atomic size ? A) 𝐿𝑖 < 𝑁𝑎 < 𝐾 < 𝑅𝑏 < 𝐶𝑠 B) 𝐿𝑖 > 𝑁𝑎 > 𝐾 > 𝑅𝑏 > 𝐶𝑠 C) 𝑁𝑎 < 𝐾 < 𝐿𝑖 < 𝑅𝑏 < 𝐶𝑠 D) 𝐾 < 𝑁𝑎 < 𝐿𝑖 < 𝑅𝑏 < 𝐶𝑠 10) Which of the following oxide is most basic? A) Li2O B) Na2O C) K2O D) Cs2O 11) Up to which element, the Law of Octaves was found to be applicable A) Oxygen B) Calcium C) Cobalt D) Potassium 12) In Mendeleev’s Periodic Table, gaps were left for the elements to be discovered later. Which of the following elements found a place in the periodic table later? A) Germanium B) Chlorine C) Oxygen D) Silicon 13) Which of the following is (are) an endothermic process (es)? i) Dilution of sulphuric acid, ii) Sublimation of dry ice iii) Condensation of water vapours iv) Evaporation of water A) (i) and (iii) B) (ii) only C) (iii) only D)(iv) (ii) and (iv) 14) Curd cannot be stored in (i) Brass vessel (ii) Copper vessel (ii) Steel (iv) Bronze A) (i), (ii), (iii) B) (ii), (iii), (iv) C) (i), (ii), (iv) D) (i), (iii), (iv) 15) The fermentation of glucose by yeast normally yields A) Alcohol, CO2 and 36 ATP B) CO2, H2O and 36 ATP C) Alcohol, CO2 and 2 ATP D) lactic acid, CO2 and 2ATP




16) Which of the following is not associated with growth of plant? A) Auxin B) Gibberellins C) Cytokinins D) Abscisic acid 17) Which is the most common method of reproduction in majority of fungi and bacteria? A) Budding B) Spore formation

C) Binary fission D) Multiple fission 18. Many unicellular organisms reproduce the process of

A) Fission B) Ovulation C) Regeneration D) Non- Disjunction 19. The ability to reproduce is lost in the female after A) Fertilization B) Menstruation C) Gamete Formation D) Menopause 20. When the foetus is growing inside the uterus it needs nutrients. Which parts provides these nutrients? A) Placenta B) Amniotic Sac C) Oviduct D) Uterus 21 Differences between organisms in a species are described as variation. Which of the following would you describe as continuous variation? A) Hair Colour B) Eye Colour C) Weight D) Sex 22. What is the difference between genetic drift and change due to natural selection?

A) Genetic drift does not require the presence of variation B) Genetic drift never occurs in nature, natural selection does. C) Genetic drift does not involve competition between members of a species. D) There is no difference

23. Wild cabbage has evolved into new varieties like cabbage, broccoli and cauliflower by

A) Genetic Drift B) Natural Selection C) Reproductive Isolation D) Artificial Selection

24. The fossil remains of Archaeopteryx is connecting link between A) Reptiles and mammals B) Reptiles and birds C) Fish and amphibian D) Amphibian and reptile

25.Some dinosaurs had feathers although they could not fly but bird have feathers that help them to fly. In the contest of evolution this means that A) Reptiles have evolved from birds B) There is no evolutionary connection between reptiles and birds C) Feather are homologous structures in both the organisms. D) Birds have evolved from reptiles




26. The maleness of a child is determined by

A) The X chromosome in the zygote B) The Y chromosome in the zygote C) The cytoplasm of germ cell which determines the sex D) Sex is determined by chance.

27. A concave mirror of focal length20cm forms an image having twice the size of the object. For the virtual position of object, the position of object will be at,

A) 25cm B) 40 cm C) 10cm D) At infinity 28. A 10mm long awl pin is placed vertically in front of a concave mirror. A 5mm long image of awl pin is formed at 30 cm in front of the mirror. The local length of this mirror is

A) -30cm B) -20cm C) -40cm D) -60cm 29.In Torch lights ,Search lights and head lights of vehicles the bulb is placed

A) Between the pole and the focus of th e reflector B) Very near to the focus of the reflector C) Between the focus and centre of the curvature of the reflector D) At the centre of curvature of the reflector

30.The law of reflection hold good for

A) Plane mirror only B) concave mirror only C) convex mirror only D) all mirrors irrespective of their shape

31. The full length of image of a distinct tall building can definitely be seen by using

A) a concave mirror B) a convex mirror C) a plane mirror D) both concave as well as plane mirror

32. At noon the sun appears white as

A) Light is least scattered B) All the colours of the white light scattered away C) Blue colour is scattered the most D) Red colour is scattered the most

33. A battery of 10 volt carries 20,000 C of charge through a resistance of 20𝛺. The work done in 10 seconds is




A) 2 x 103 joule B) ) 2 x 105 joule C) ) 2 x 104 joule D) ) 2 x 102 joule 34. A current of 1 A is drawn by a filament of an electric bulb. The no of electrons Passing through a cross - section of the filament in 16 seconds would be roughly A) 1020 B) 1016 C) 1018 D) 1023

35. A cylindrical conductor of a length, l and uniform area of cross section A has resistance R . Another conductor of length 2 l and resistance R of the same material of area of cross section A) A/2 B) 3A /2 C) 2A D) 3A 36.In an electrical circuit two resistors of 2𝛺 and 4𝛺 respectively are connected in series to a 6V battery. The heat dissipated by 4𝛺 resistor in 5Sec will be A) 5 J B) 10 J C) 20 J D ) 30 J 37. In a hydro power plant

A) Potential energy possessed by stored water is converted into electrical energy B) Kinetic energy possessed by stored water is converted into potential energy C) Electricity is extracted form water D) Water is converted into steam to produce electricity

38. Which one of the following forms of Energy leads to least environmental pollution In the process of its harnessing and utilization? A) Nuclear Energy B) Thermal Energy C) Solar Energy D) Geothermal Energy 39. The major problem in harnessing nuclear energy is how to

A) Split nuclei ? B) Sustain the reaction? C) Dispose of spent fuel safely? D) Convert nuclear energy into electrical energy?

40. Choose the correct statement:

A) Sun can be taken as an inexhaustible source of energy B) There is infinite storage of fossil fuel inside t he earth. C) Hydro and wind energy plants are non polluting D) Waste from a nuclear power plant can be easily disposed off




********************************************************************************** SOCIAL SCIENCE (40 X 1 = 40 MARKS)

1. What was the significance of ‘Broken Chains’ ?

A. Being freed B. Heroism C. Readiness to fight D. Willingness to make peace

2. Name the artist who painted the image of Germania. A. Frederic Sorrien B. Philip Veit C. Ernst Renan D. None of these

3. Who described Mazzini as ‘the most dangerous enemy of our social order’ ? A. Ernest Renan B. Louis Philippe C. Napoleon Bonaparte D. Metternich

4. When did the Cochinchina (the south) become a French colony ? A. 1864 B. 1865 C. 1867 D. 1866

5. The French colonial economy in Vietnam was primarily based on what ? A. Rice cultivation B. Rubber plantation C . Both (a) and (b) D. None of the above

6. What happened in Hanoi in 1903 ? A. It was attacked by Vietnamese B. It was defeated in a war C. It was struck by bubonic plague D. Non of these

7. What does Satyagraha mean ? A. Fight against injustice B. Complete independence C. Following the path of truth and non-violence D. All of the above

8. When did the Jallianwalla Bagh massacre take place ? A. 1919 B. 1921 C. 1922 D. 1928

9. Gandhiji agreed to participate in a Round Table Conference in London in A. Gandhi-Irwin Pact B. Poona Pact C. Lahore Pact D. Gandhi-Simon Pact

10. Who painted the image of Bharat Mata ? A. Rabindranath Tagore B. Abanindranath Tagore C. Bankim Chandra Chattopadhyay D. Natesa Sastri

11. When did the global agricultural economy start ? A. 1894 B. 1892 C. 1890 D. 1891

12. The First World War made the United States




A. an international debtor B. an international creditor C. a very poor country D. a very powerful country

13. The Bretton woods twins commenced financial operations in A. 1945 B. 1946 C. 1947 D. 1948

14. Who invented the Steam Engine ? A. James watt B. New Comen C. Richard Arkwright D. None of these

15. The industry where the demand for labour was seasonal A. breweries B. iron and steel industry C. cotton industry D. None of these

16. What made workers hostile to the introduction of the Spinning Jenny ? A. Fear of war B. Fear of unemployment C. Both (A) and (B) D. None of these

17. Louis Napoleon III A. passed the Smoke Abatement Acts of 1847 and 1853 B. undertook the work of rebuilding of Paris C. started the reclamation project D. built London Underground railway

18. Where was the first underground railway built ? A. Hyderabad B. London C. Leeds D. Manchester

19. The movie Raja Harishchandra was made by A. Dadasaheb Phalke B. Saadat Hasan Manto C. Ismat Chugtai D. Harishchandra Sakharam Bhatwadekar

20. Which city became the hub of the new print culture ? A. Beijing B. Lhasa C. Hong Kong D. Shanghai

21. Who was Martin Luther ? A. A social reformer B. A preacher C. A religious reformer D. A Spiritual leader

22. The first Indian newspaper to appear was the A. Sambad Kaumudi B. Bengal Gazette C. Samachar Chandrika D. Bombay Samachar

23. The first printing press came to India with A. French missionaries B. English missionaries C. Portuguese missionaries D. Dutch missionaries




24. The pioneer of modern Hindi literature in the north is A. Srinivas Das B. Premchand C. Devaki Nandan Khatri D. Bharatendu Harishchandra

25. Rokeya Hossein’s Sultana’s Dream A. A satiric fantasy in English B. A real life history C. An irony on society D. None of these

26. Anguriya Binimoy was the first historical novel written by A. Bankim Chandra B. Rabindranath Tagore C. Muhammad Basheer D. Bhudeb Mukhopadhyay

27. Which is the most important soil of India ? A. Black soil B. Alluvial soil C. Red Soil D. Laterite soil

28. Which state has abundance of water resources but lacks in infrastructural development ? A. Jharkhand B. Madhya Pradesh C. Arunachal Pradesh D. Chhattisgarh

29. Red soil looks yellow when it occurs in A. hydrated form B. original form C. oxidated form D. degraded form

30. Palar pani is considered the purest form of A. ground water B. ocean water C. natural water D. none of these

31. Jawaharlal Nehru proudly called the dams as the A. Temple of advanced India B. Temples of developed India C. Temples of developing India D. Temples of modern India

32. In India hydro-electric power contributes approximately ..... per cent of the total electricity produced. A. 22 B. 32 C. 40 D. 45

33. Which city of India faces acute shortage of water? A. Gendathur B. Shillong C. Cherrapunji D. Mawsynram

34. Which state is the largest producer of rice? A. West Bengal B. Punjab C. Haryana D. Parts of Rajasthan

35. Which crop is used both as food and fodder?




A. Maize B. Wheat C. Rice D. Sugarcane

36. Which of the following is not a plantation crop? A. Tea B. Rice C. Coffee D. Rubber

37. The largest sugarcane-producing state of India is A. Madhya Pradesh B. Maharashtra C. Bihar D. Uttar Pradesh

38. Ferrous minerals account for about ...... of the total value of the production of metallic minerals. A. one-fourth B. three-fourth C. one-fifth D. one-third

39. Which is the largest producer of manganese ores in India? A. Kudremukh B. Bailadila C. Odisha D. Jharkhand

40. Which of the following minerals are obtained from veins and lodes ? (i) Zinc (ii) Copper (iii) Coal (iv) Bauxite A. Only (i) and (ii) B. Only (ii) and (iii) C. Only (iii) and (iv) D. All of the above

cmmc-2020 · 2020. 2. 25. · cmmc-2020 std x – maths, science and social science | cbse multiple...

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