ANDHRA PRADESH - TELANGANA India’s First & Only ISO 9001:2008 Certified Foundation Programme TOTAL BITS : 75 TOTAL MARKS : 150 DATE : 24.08.15 TIME : 90 MINUTES MONTHLY TEST - 2 Find the remainder when x3 3x 2 3x 1 is divided by x 1) 2. 3. 27 8 5. 3) (2x – 3) (2x + 3) 4) (3x + 3) (2x + 1) www.eabhyasacademy.com 3) 183 4) 180 2) (x + a) (x + a + c) 3) (x + b) (x + a + c) 4) (x + b) (x + b + c) If the mode of a data is 18 and the mean is 24. then median is : 2) 22 3) 24 4) 18 The median of 10, 14, 11, 9, 8, 12, 6 is : 2) 14 3) 12 4) 10 The range of the following set of observations 2, 3, 5, 9, 8, 7, 4, 3 is : 2) 5. 5 3) 7 4) 11 If median = (mode + 2 mean) then is equal to : 1 3 2) 2 3) 3 The mean of first n natural numbers is 2) 4 4) None of these 5n . Find n. 9 3) 9 4) 7 If the strengths of 10 classes in a school are given as 28, 42, 25, 30, 45, 22, 25, 34, 26 and 36 then find the median strength. 1) 31 11. 2) 186 1) (x + a) (x + b + c) 1) 5 10. 31 8 x 2 a b c x ab bc 1) 9. 4) 1 2 If a + b + c = 15 and a2 b2 c2 83, find the value of a3 b3 c3 3abc. 1) 6 8. 25 8 2) (2x + 1) (x + 3) 1) 11 7. 3) 1) (2x + 3) (x + 2) 1) 21 6. 21 8 Factorise 2x2 + 7x + 3 1) 185 4. 2) 2015 - 2016 1. 2015 - 2016 MATHEMATICS 2) 29 3) 45 4) 65 If the heights of four students in a class are 132 cm, 158 cm, 145 cm and 155 cm, then find their mean height 1) 150 cm CHALL ENGER 2) 165 cm 3) 170 cm 1 4) 147.5 cm MONTHLY TEST - 2 www.eabhyasacademy.com IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS Salaries of employees in thousand rupees 0 – 10 No. of employees 1) 20 www.eabhyasacademy.com 3) 20 hours 4) 13 hours 12 13 14 15 16 17 18 Total fi : 1 3 4 8 10 3 1 30 If x 2) 18 3) 15.2 4) 20 1 1 a, x b then the value of a2 2ab 3b2 is x x 2) 4 2x 2 1 x2 2 3) 4 1 2 x 1 1 4) 8 2 2 x Find the variables Column - I Column - II A. 7(s - 4) = 3 + 2s 1. 2 B. 7p + 3 = 3(5 q) 2. C. 5x - 2(6 + 7x) = 15 3. 3 6m 4 8 4m If x 6 5 4. 5 2) 4,2,3,1 3) 3,4,1,2 1 1 7 , the value of x 3 3 is ____ x x 1) 380 2) 364 3) 280 4) 4,1,2,3 4) 400 Consider the polynomials A 4x 3 5x 7 , B 2x 3 x 2 3 , C 5x 3 8x 2 10 The coefficient of x2 in the polynomial A - 2B - C is ____ 1) 8 19. 4) 45 xi : 1) 1,4,3,2 18. 6 Find the mean of the following distribution D. 17. 9 3) 40 2) 14 hours 2 2 1) 4x 2 1 x 16. 8 40 – 50 5 people were asked about the time in a week they spend in doing social work in their community. They spent 10, 7, 13, 20 and 15 hours, respectively. Find the mean (or average) time in a week devoted by them for social work 1) 14 15. 30 – 40 13 2) 25 1) 12 hours 14. 4 20 – 30 2015 - 2016 13. 10 – 20 www.eabhyasacademy.com Calculate the arithmetic mean (A.M.) of the following data 2015 - 2016 12. 2) 9 3) 7 4) 10 2 Factorize p x 21x 11x 2 1) 7x 1 3x 2 2) 8x 13x 1 3) 9x 1 4x 1 4) 8x 1 6x 1 CHALL ENGER 2 MONTHLY TEST - 2 IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS 2 Factorize p x 22x 123x 11 1) 11x 1 2x 11 2) 10x 1 3x 11 3) 20x 13x 11 4) 20x 1 6x 11 www.eabhyasacademy.com 20. PHYSICS Which of the following is not a characteristic of the standard unit ? 2015 - 2016 21. 1) It should be of convenient size. 2) It should change with respect to space and time. 3) It should not be perishable. 4) It should be easily reproducible. 22. The main scale of a vernier callipers reads 4.7 cm, t he 3rd division on the vernier scale coincides with a main scale division while measuring the length of a rod. the least count of the vernier callipers 0.1 mm. the length of the rod is 1) 4.73 cm 23. 3) 4.72 cm 4) 4.77 cm 2.34 is obtained by rounding of the number 1) 2.346 = 2.35 24. 2) 4.75 cm 2) 2.355 = 2.36 3) 2.335 = 2.34 4) 2.334 = 2.33 The least count of a vernier callipers is 0.01 cm and its zero error is – 0.03 cm. While measuring the length of a rod, the zero of vernier scale lies between 5.3 cm and 5.4 cm and sixth division on vernier is in line with a marking on the main scale. The length of the rod is 1) 5.35 cm 3) 2.001 cm 4) 0.001 cm 2) 0.8 m 3) 0.6 m 4) 0.5 m The length of a metallic sheet is measured as 10.0 cm using a metre scale of L>C. 0.1 cm and its breadth is measured as 1.00 cm using vernier callipers of L>C. 0.01 cm, the error in area is 1) 0.2cm2 28. 2) 0.002 cm Find the length of a simple pendulum whose period of oscillation 1.8 s at a place where g = 9.8 m/s2. 1) 0.9 m 27. 4) 5.36 cm In travelling microscope, each centimetre of the main scale is divided into 20 equal parts. If the instrument carries a vernier scale having 50 divisions equal to 49 divisions of the main scale, calculate the least count of the main scale and the vernier scale. 1) 2.001 cm 26. 3) 5.30 cm. 2) 4.2cm2 2015 - 2016 25. 2) 5.39 cm. 3) 1.02cm2 4) 0.3cm2 x y z A physical quantity X is represented by X M L T . The maximum percentage errors in www.eabhyasacademy.com the measurement of M, L and T respectively are a%, b% and c%. The maximum percentage error in the measurement of X will be 29. 1) ax by cz percent 2) ax by cz percent 3) ax by cz percent 4) ax by cz percent In a vernier callipers, one main scale division is x cm and n divisions of the vernier scale coincide with (n – 1) divisions of the main scale. The least count (in cm) of the callipers is n 1 1) x n CHALL ENGER nx 2) n 1 3) x 4) n 1 x n 3 MONTHLY TEST - 2 PASSAGE : In an experiment the weight of a body in air is found to be 5.000 0.05 N and its weight in water is found to be 4.00 0.05 N . The error in measuring loss of weight in water is 1) 0.10 N 31. 3) 0.40 4) 0.50 2) 6 % 3) 4 % 3 4) 2 % 2) 2.20mm 3)1.20mm 4) 1.25 mm In a vernier calliper, N divisions of vernier scale coincide with (N- 1) divisions of main scale. One division of main scale represents 1 mm. The least count of the instrument in cm will be 1) N 1 10 35. 2) 0.11 The circular divisions of the given screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is 1)2.25 mm 34. 4) 0.50 N The heat dissipated in a resistance can be obtained by measuring of resistance, the current and time. The maximum error in the measurement of these is 1 %, 2 % and 1 % respectively. The maximum error in the detection of the dissipated heat is 1) 4 % 33. 3) 0.40 N The relative error in finding the relative density of the body is 1) 0.10 32. 2) 0.11 N 2015 - 2016 30. 1 3) 10 N 1 2) N 10 4) 1 10N The least count of a stop watch is 0.2 second. It records 25 sec as the time 20 oscillations of a pendulum. The minimum percentage error in the measurement of time will be 1) 0.8 % 2) 0.4 % 3) 0.2 % 4) 0.1 % CHEMISTRY 37. Which of the following process is used in the refining of aluminium ? 1) Hope’s electrolysis 2) Thermite reaction 3) Reduction by carbon 4) Mond’s process In electrolytic reduction of molten aluminium oxide ore the positive electrodes have to be regularly replaced, why? 2015 - 2016 36. 1) They are degraded due to high temperature. 2) They dissolve in cryolite. 3) They react with oxygen to form a gas. 4) A layer of aluminium gets deposited on them. 38. X + 4H2O Y+Z X + S R www.eabhyasacademy.com ‘Y’ is the magnetic oxide of iron and ‘R’ is a grey sulphide. X Y Z R 1) Fe Fe2O3 H2 FeS 2) Fe Fe3O4 H2 FeS 3) Fe Fe3O3 O2 FeS 4) Fe Fe2O3 O2 FeS CHALL ENGER 4 MONTHLY TEST - 2 www.eabhyasacademy.com IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS 39. Assertion : When soft iron nails are dipped in a strong solution of copper sulphate, a greenish black solution is formed. Reason : Iron replaces copper from copper sulphate solution forming iron sulphate. 1) Both Assertion and Reason are correct and Reason is the correct explanation of Assertion. 2015 - 2016 2) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion. 3) Assertion is correct and Reason is incorrect 4) Assertion is incorrect and Reason is correct 41. 42. 43. After a chemical reaction, the total mass of reactants and products 1) Is always increased 2) Is always decreased 3) Is not changed 4) Is always less or more Which one of the following properties of an element is not variable 1) Valency 2) Atomic weight 3) Equivalent weight 4) All of these Which one of the following pairs of gases contains the same number of molecules 1) 16 g of O2 and 14 g of N2 2) 8 g of O2 and 22 g of CO2 3) 28 g of N2 and 22 g of CO2 4) 32 g of O2 and 32 g of N2 1022 atoms of an element 'X' are found to have a mass of 930 mg. Calculate the molar mass of the element 'X'. 1) 35.6 g mol-1 44. y 2 www.eabhyasacademy.com 48. 2) y 4 4) 2y 3) y 2) 25% 3) 14% 4) 8% 23 The total number of protons in 10 g of calcium carbonate is N 0 6.023 x 10 1) 1.5057 x 1024 47. 4) 56.0 g mol-1 A 400 mg iron capsule contains 100 mg of ferrous fumarate, (CHCOO)2Fe. The percentage of iron present in it is approximately 1) 33% 46. 3) 35.0 g mol-1 The atomic weights of two elements A and B are 40 and 80 respectively. If x g of A contains y atoms, how many atoms are present in 2x g of B 1) 45. 2) 47.5 g mol-1 2015 - 2016 40. 2) 2.047 x 1024 3) 3.0115 x 1024 4) 4.0956 x 1024 The principle ores of silver are argentite, horn silver and pyrargyrite. Their formula respectively are 1) Ag2S, AgCl and AgSbS2 2)AgCl, AgSbS2 and Ag2S 3) AgSbS2, Ag2S and AgCl 4) AgCl, Ag2S and AgSbS2 Which of the following fluxes is used to remove acidic impurities in metallurgical process 1) Silica 2) Lime stone 3) Sodium chloride 4) Sodium carbonate CHALL ENGER 5 MONTHLY TEST - 2 www.eabhyasacademy.com IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS 1) Cr 50. 2) Sn 3) Zn www.eabhyasacademy.com Black Jack is an ore of 4) Ni Which is correct 1) Galena : Mg2CO3 2) Cassiterite : CaCO3 MgCO3 3) Dolomite : SnO2 4) Magnesite : MgCO3 2015 - 2016 49. N.T.S.E 51. I : Insert : : Active : II I. [A] Static [B] Statics [C] Helium [D] Air II. [P] Gymnast [Q] Dynamic [R] Participation [S] Smart 1) AQ 2) BP 3) CR 52. I : Wheat : : Brick: II I. [A] Cereal [B] Field [C] Bread [D]Farme II. [P] Building [Q] Mason [R] Clay [S] Kiln 1) AP 2) BS 3) CR 53. I : Sword : : Thread : II I. [A] Dagger [B] Knife [C] Warrior [D] Kill II. [P] Needle [Q] Tailor [R] Rope [S] Stitch 1) BR 2) DS 3) AP 54. I : Ship : : Platform : II I. [A] Captain [B] Quay [C] Port [D] Shore II. [P] Coolie [Q] Station [R] Train [S] Bench 1) BR 2) AP 3) CQ I : Gardening : : Bat : II I. [A] Spade [B] Gardener [C] Flowers [D] Grass II. [P] Playing [Q] Cricket [R] Ball [S] Sportsman 1) BS 2) DP 2015 - 2016 55. 3) CR 4) DS 4) DQ 4) CQ 4) DS 4) AQ Directions: In Choose odd Number questions, certain numbers are given, out of which all except one are alike in some manner while one is different and this number is to be chosen as the answer. www.eabhyasacademy.com 56. 1532 , 8749 , 4268 , 5846 1) 1532 57. 3) 4268 4) 5846 3) 5789 4) 1325 3) 318951 4) 319446 7851 , 6432 , 5789 , 1325 , 8167 1) 7851 58. 2) 8749 2) 6432 372164 , 376821 , 318951 , 319446 1) 372164 CHALL ENGER 2) 376821 6 MONTHLY TEST - 2 59. 11 , 13 , 15 , 17 1) 11 60. www.eabhyasacademy.com IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS 2) 13 3) 15 4) 17 2) 11 3) 15 4) 16 10 , 11 , 15 , 16 1) 10 A monomial is a polynomial with only ________ terms. 1) 3 62. 66. 67. 68. 3) Trinomial 4) Multinomial 2) 2 3) 3 4) 4 2) Frequency 3) Range 4) Mode The relationship between mean, median and mode is 1) Mode = 3 Median – 2 Mean 2) Mode = 3 Median + 2 Mean 3) Median = 3 Mode – 2 Mean 4) Mean = 3 Median + 2 Mode A constant quantity used for comparison during the measurement of unknown quantity is called : 1) Fundamental quantity 2) Standard quantity 3) Physical quantity 4) Derived quantity Candela is the fundamental unit of : 1) Thermodynamic temperature 2) Amount of substance 3) Electric current 4) Luminous intensity The complete to and fro motion of a pendulum constitutes one complete : 1) Vibration 69. 4) 1 The maximum occurred value among the given observation is called 1) Data 65. 2) Binomial A cubic polynomial of degree is 1) 1 64. 3) 2 A polynomial with two terms is called a _________ 1) Momomial 63. 2) 4 2015 - 2016 61. 2015 - 2016 C.D.F 2) Oscillation 3) Frequency 4) Amplitude The speed of light in vacuum is 3 108 ms-1. It is a : 1) Fundamental unit 2) Derived unit 3) Supplementary 4) Universal unit www.eabhyasacademy.com 70. The time period of a simple pendulum is: 1) Directly proportional to its length 2) Directly proportional to square root of length 3) Inversely proportional to its length 4) Inversely proportional to square root of length CHALL ENGER 7 MONTHLY TEST - 2 IIT/NTSE FOUNDATION - OLYMPIAD VIII CLASS 1) Form ionic compounds 2) form covalent compounds 3) Do not combine 4) None of the aobve The non-metal that is extremely hard is 1) Diamond 73. 74. 75. www.eabhyasacademy.com 72. Metals generally _______________ 2) Sulphur 3) Phosphorous German Silver is an Alloy of 4) Graphite 2015 - 2016 71. 1) Copper, Nickel and Silver 2) Silver, Copper and Aluminium 3) Zinc, Copper and Nickel 4) Silver, Zinc and Copper The mass of 1 amu is 1) 1 1 g 12 6.022 1023 2) 3) 12 g 6.022 1023 4) 6.022 1023 g. 1 The 12 1 g 6.022 1023 th mass of a carbon atom is called 1) Mass number 2) Atomic mass 3) Atomic mass unit 4) Relative atomic mass ***** 2015 - 2016 ***** October 15 - 1931 ***** July 27 - 2015 The best brains of the nation may be found on the www.eabhyasacademy.com last benches of the classroom. ****************** CHALL ENGER 8 MONTHLY TEST - 2
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