IBSC-2015-QP-Code-A.pdf - India's Best Student Contest

India’s Best Student Contest Test - 1 / Stage - I (Code - A)

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JEE | MEDICAL-UG | BOARDS | KVPY | NTSE | OLYMPIADS

Date : 15th & 16th August, 2015 Duration : 2 Hours Maximum Marks : 180

INDIA’S BESTSTUDENT CONTEST

2015

1. Read each question carefully.

2. It is mandatory to use black ball point pen to darken the appropriate circle in the OMR sheet.

3. Bubble mark should be dark and fill the circle completely.

4. Here are some examples of incorrect OMR filling. The Correct one is

5. Rough work must not be done on the OMR sheet.

6. Before handing over the OMR sheet to the invigilator, candidate should check that Standard,

Roll No. / Name & Test Date are mentioned correctly.

7. The OMR sheet has to be returned to the invigilator immediately after the examination.

8. There are 90 questions in the paper. Each question carries 2 marks with No Negative marking. The paper

contains questions based on Science, Maths & Logical Reasoning.

9. All questions are single correct answer type.

INSTRUCTIONS FOR CANDIDATES

STAGE - ICODE - A


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PHYSICS

01. The dimensions of 20

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E , where 0 is permittivity of free space and E is electric field are

(A) ML–1T–2 (B) ML2T–1 (C) MLT–1 (D) ML2T–2

02. A particle moves with initial velocity of m/si j and an acceleration of 2m/si j . Its speed after 10

sec will be

(A) 11 m/s (B) (11 × 2) m/s (C) 11 m/s (D) 11 2 m/s

03. A block of mass m1, of 3 kg, is lying on a frictionless plane inclined at 30ºwith horizontal. It is connected to a mass m2, of 4 kg, with the help of astring passing over a pulley as shown in figure. The acceleration of eachblock will be

(A) 2.55 ms–2 (B) 3.55 ms–2

(C) 4.55 ms–2 (D) 5.55 ms–2

04. The slope of kinetic energy (K) – displacement (x) curve of a particle in motion is(A) Equal to double the acceleration(B) Equal to acceleration(C) Inversely proportional to acceleration(D) Directly proportional to acceleration

05. A force 26 4F t i j is acting on a particle of mass 3 kg. The velocity of the particle at t = 3 sec, when

it is at rest at t = 0, is

(A) 18 6i j (B) 18 12i j (C) 12 6i j (D) None of these

06. Which physical quantity is constant for a satellite in orbit?(A) Angular momentum (B) Angular acceleration(C) Angular velocity (D) Kinetic energy

07. A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown inthe figure. The force on the pulley by the clamp is given by

(A) 2 2M m M g (B) 2 mg

(C) 2 2M m m g (D) 2 Mg


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08. An insect crawls up a hemispherical surface very slowly (see the figure). Thecoefficient of friction between the insect and the surface is 1/3. If the insectmakes an angle with the vertical, the maximum possible value of isgiven by

(A) cot = 3 (B) tan = 3 (C) sec = 3 (D) cosec = 309. For a satellite escape velocity is 11 km/s. If the satellite is launched at an angle of 60º with the vertical, then

escape velocity will be

(A) 11 km/s (B) 11 3 km/s (C) 11 km/s

3 (D) 11 km/s2

10. The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun ishow many times greater than that of B from the sun?(A) 4 (B) 5 (C) 6 (D) 8

CHEMISTRY11. The largest number of molecules is in –

(A) 34 g of water (B) 28 g of CO2(C) 4 g of CH3OH (D) 54 g of N2O5

12. The ground state of atom means that all the electrons are.(A) In the first orbit(B) In the lowest possible energy state(C) In the nucleus(D) Having same energy

13. Out of the I and II IP of Na and Mg, which of the following is correct?(A) II IP of Na = II IP of Mg(B) II IP of Na < II IP of Mg(C) II IP of Na > II IP of Mg(D) I IP of Na > I IP of Mg

14. The ionic radius of Cr is minimum in which of the following compound?(A) K2CrO4 (B) CrO2 (C) CrF3 (D) CrCl2

15. Which of the following property of water be used to explain the spherical shape of rain droplets?(A) Viscocity (B) Pressure(C) surface tension (D) critical phenomena

16. The order of penentration of three radioactive rays through metal sheet is(A) (B) (C) (D) None

17. Electrical chimneys are made on the principle of(A) Electro-osmosis (B) Coagulation(C) Electrophoresis (D) All of these

18. The critical temperature of water is higher than that of O2 because H2O molecule has(A) Less electron than O2 (B) Two covalent bonds(C) V-shape (D) Dipole moment

19. Which of the following contains the greatest number of atoms?(A) 1.0 g of butane (B) 1.0 g of nitrogen(C) 1.0 g of silver (D) 1.0 g of CH4


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20. During electrolysis, metals are deposited at the cathode, because the cathode.(A) Supplies electrons (B) Withdraws electrons(C) Undergoes oxidation (D) None

BIOLOGY21. The primary regulator of Leydig cell secretion is :

(A) FSH releasing factor (B) Androgen-binding protein(C) Luteinizing hormone (LH) (D) Follicle stimulating hormone

22. Apart from DNA in the bacterial nucleoid, there is a circular extrachromosomal DNA, called :(A) plasmid (B) mesosome (C) chromosome (D) none of these

23. Nucleosome core is made of :(A) H1, H2A, H2B and H3 (B) H1, H2A, H2B and H4(C) H1, H2A, H2B, H3 and H4 (D) H2A, H2B, H3 and H4

24. The marriage between a man and woman causes death of child; the man and woman are :(A) Rh+ father and Rh– mother(B) Rh– father and Rh+ mother(C) Rh–father and Rh– mother(D) Rh+ father and Rh+ mother

25. Diabetes is characterized by :(A) hypoglycemia (B) hyperglycemia (C) hypercalcemia (D) all of these

26. All types of communities, whether aquatic or terrestrial, occuring over a large geographical area of Earthrepresents :(A) Biosphere (B) Biotpyes (C) Biome (D) Biomass

27. Genetic drift is noticed in :(A) Animal population (B) Plant population(C) Large population (D) Smaller population

28. The species that occur in different geographical regions or are separated by a spatial barrier, are said to be:(A) Sympatric species (B) Allopatric species(C) Ecological races (D) Ecotypes

29. Nitrifying bacteria are those which can convert :(A) Nitrogen gas into ammonia(B) Nitrogen gas into nitrates(C) Ammonia into nitrates(D) Nitrates into ammonia

30. The process of copying genetic information from one strand of the DNA into RNA is termed as :(A) Translation (B) Transformation (C) Replication (D) Transcription


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MATHEMATICS31. The expression

4 43 sin 270º sin 540º 6 62 sin 90º sin 900º is equal to

(A) 0 (B) 1 (C) 3 (D) sin 4 cos6

32. In a PQR , 90º R if tan2P

and tan2Q

are the roots of the equation ax2 + bx + c = 0,

0Q then

(A) a b c (B) b c a (C) a c b (D) b c

33. Let 0 45º and tan1 tant , cot

2 tant , tan3 cott , cot

4 cott , then

(A) 1 2 3 4t t t t (B) 3 1 2 4t t t t (C) 4 3 1 2t t t t (D) 2 3 1 4t t t t

34. The number of integral values of k for which the equation 7 cos 5sin 2 1x x k has a real solution is(A) 8 (B) 4 (C) 6 (D) 12

35. The equation 1 1 4 1x x x has(A) no solution (B) One solution (C) two solutions (D) more than two solutions

36. If 3cos cos cos2

, then sin sin sin is equal to

(A) 0 (B) 1 (C) 2 (D) none of these37. If A and B are any two events associated with an experiment, then

(A) P A B P A P B

(B) P A B P A P B

(C) P A B P A P B

(D) if P A B P A P B B A

38. If 1 + 2 + 3 + ...... + n = 45, then 13 + 23 + 33 + ...... + n3 is

(A) (45)2 (B) (45)3 (C) (45)2 + 45 (D) 2245 464

39. Circumcentre of the triangle formed by the lines x = 0, y = 0 and 1x ya b

(A) (0, 0) (B) ,2 2a b

(C) (a, b) (D) none of these

40. If is a root of the equation x2 + x + 1 = 0 and if 2, x a b y a b and 2z a b , then xyz=(A) a3 – b3 (B) a3 + b3 (C) 1 (D) none of these


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41. If n is any integer, then 1 2 3n n n ni i i i is equal to ( here i 1 )(A) i (B) –i (C) 1 (D) 0

42. The points (4, 7, 8), (2, 3, 4) and (–1, –2, 1) are the three vertices of a parallelogram. The fourth vertex ofthe parallelogram can be

(A) 1, 2, 5 (B) 1, 2, 5 (C) 1, 2, 5 (D) 1, 2, 5

43. 5 53 31 1x x x x is a polynomial of degree

(A) 5 (B) 6 (C) 7 (D) 8

44. Suppose A1 – a = A2 – A1 = b – A2, then (2A1 – A2) (2A2 – A1) is equal to

(A) a + b (B) ab

a b (C) ab (D) none of these

45. If sin sin a and cos cos b , then the value of sin is equal to

(A) ab

a b (B) 2 2

aba b (C) 2 2

2aba b (D) 2 2

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aba b

MENTAL ABILITY46. In the following questions, a number series is given with one term missing. Choose the correct alternative

that will continue the same pattern and replace the question mark in the given series.

2 4 11 16, ,?, ,3 7 21 31

(A) 59 (B)

611 (C)

713 (D)

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Direction for Q.47 & Q.48 : In each of the following letter series, some of the letters are missing which are givenin that order as one of the alternative below it. Choose the correct alternative.

47. a____ c____ abb____a____bc____bc____ab(A) cbcaaa (B) bcccab (C) bccaac (D) acbabc

48. adb____ac____da____cddcb____dbc____cbda(A) bccba (B) cbbaa (C) ccbba (D) bbcad

49. The following questions consist of two words that have a certain relationship to each other, followed by fourpairs of words. Select the pair that has the same relationship as the original pair of words.

Food : Hungry(A) Thought : Politics (B) Water : River (C) Rest : Weary (D) Wine : Intoxication

50. In the following question, there is a certain relationship between two given numbers on one side of : : andone number is given on another side of : : while another number is to be found from the given alternatives,having the same relationship with this number as the numbers of the given pair bear. Choose the bestalternative.


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11529 : 72135 : : 152943 : ?(A) 62034 (B) 163044 (C) 203448 (D) 213549

51. If SCOTLAND is written as 12345678, LOAN is written as 1435, LOTS is written as 8124, DAN iswritten as 537 and SON is written as 458, then what will be the code for ‘C’ ?(A) 0 (B) 4 (C) 5 (D) 6

Directions for Q.52 & Q.53 : In a certain code language,i) ‘kemp lamp tems’ means ‘speak the truth’;ii) ‘bis tim nak’ means ‘always seek knowledge’;iii) ‘tim tems sik’ means ‘knowledge is truth’;iv) ‘lik bis zap’ means ‘never seek violence’.

52. Which letter code stands for ‘always’?(A) nak (B) tim (C) bis (D) zap

53. To find the answer to the above question, which of the given statements is not necessary?(A) i (B) ii (C) iii (D) iv

Directions for Q.54 & Q.55 : Read the information given below to answer the questions that follow:i) ‘P × Q’ means ‘Q is the mother of P’;ii) ‘P + Q’ means ‘P is brother of Q’;iii) ‘P – Q’ means ‘ P is sister of Q’;iv) ‘P ÷ Q’ means ‘Q is father of P’.

54. Which of the following definitely means ‘X is grandson of D’?(A) X × H ÷ D (B) A + X × H ÷ D(C) A – X × H ÷ D (D) None of these

55. Which of the statements in i, ii, iii, iv were superfluous to answer the above question?(A) i) only (B) ii) only(C) iii) only (D) iv) only

56. If ‘ A $ B’ means ‘A is brother of B’, ‘A @ B’ means ‘A is wife of B’, ‘A # B’ means ‘A is daughter of B’and ‘A £ B’ means ‘A is the father of B’, then which of the following expressions indicate the relationship ‘Kis father-in-law of H’?(A) H @ J $ L # P £ K (B) H @ J $ P £ L # K(C) H @ J $ L # K £ P (D) H @ P $ J £ L # K

57. The number of letters skipped between adjacent letters in the series decreases from 5 to 1. which one of thefollowing series does not observe the rule given above ?(A) OIDZWU (B) QKFCYW (C) WQLHEC (D) ZTOKHF

Directions for Q. 58 to Q.60 : Study the following five numbers and answer the questions given below :517 325 639 841 792

58. What will be the first digit of the second highest number after the positions of only the second and the thirddigits within each number are interchanged?(A) 2 (B) 7 (C) 8 (D) 9


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59. What will be the last digit of the third number from top when they are arranged in descending order afterreversing the positions of the digits within each number?(A) 2 (B) 3 (C) 5 (D) 7

60. What will be the middle digit of the second lowest number after the positions of only the first and the seconddigits within each number are interchanged?(A) 2 (B) 3 (C) 5 (D) 7

61. If every second Saturday and all Sundays are holidays in a 30 day month beginning on Saturday, then howmany working days are there in that month?(A) 20 (B) 21 (C) 22 (D) 23

62. If ‘–’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, which one ofthe following equations is correct?(A) 6 + 20 – 12 ÷ 7 = 38 (B) 6 –20 ÷ 12 × 7 + 1 = 57(C) 6 + 20 – 12 ÷ 7 × 1 = 62 (D) 6 ÷ 20 × 12 + 7 – 1 = 70

63. A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as manydiamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?(A) 4 (B) 5 (C) 6 (D) 7

64. A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, theindex finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direciton calling the ring finger 6,middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?(A) Thumb (B) Index finger (C) Middle finger (D) Ring finger

Directions for Q.65 - Q.66 : Each of the question following below consists of a question and two statementsnumbered I and II given below it. You have to decide whether the data provided in the statements are sufficient toanswer the question.Read both the statements and give answer.(A) If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not

sufficient to answer the question;(B) If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not

sufficient to answer the question;(C) If the data either in statement I alone or in statement II alone is sufficient to answer the question;(D) If the data given in both statements I and II together are not sufficient to answer the question;

65. Vinod’s and Javed’s salaries are in the proportion of 4 : 3 respectively. What is Vinod’s salary?I. Javed’s salary is 75% that of Vinod’s salary.II. Javed’s salary is Rs. 4500

66. How many students in a class play football?I. Only boys play footballII. There are forty boys and thirty girls in the class

Directions for Q.67 to Q.70 : Read the following information carefully and answer the given questions :A public charitable trust desires to select ‘Medical Officers’ for its rural hospital based on the following criteria:The applicant must –(i) be holding MBBS degree with minimum 50% marks.(ii) have minimum 4 years of experience of full-time practice in rural areas.(iii) be ready to execute a bond of 3 years of service.(iv) have good knowledge of the local language.


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In case of the applicant who satisfies all other criteria except –(A) at (ii) above, but has 4 years of full-time experience of practice either in urban or semi-urban area and spent

at least 5 years in rural areas any time during his life, be referred to Secretary of the Trust.(B) at (iv) above, but has working knowledge of Hindi, be referred to Assistant Secretary of the Trust.(C) at (i) above, but has minimum 45% marks at MBBS and has done M.S. or M.D. with minimum 50% , be

referred to the Chief Medical Officer (C.M.O).(D) at (iii) above, but is ready to give Rs. 25,000 as security money, be referred to the President of the Trust.

Based on these criteria and the information provided below, decide the course of action in each case. You are not toassume anything. If the data provided is not adequate to decide the given course of action, your answer will be ‘Datainadequate’. All cases given to you fulfill criterion of age and therefore no details of age are provided. The cases aregiven to you as on the present day.67. Gauri did her M.D. after doing her MBBS. She is ready to execute three years’ bond of service. She has

good command over local language as well as Hindi. She has practised for 152

years in remote village out of

her love for social service. She has obtained 77% , 88%, 47% and 56% at SSC, HSC, MBBS and M.D.respectively.(A) To be selected (B) Not to be selected(C) Refer to Assistant Secretary (D) Refer to the C.M.O.

68. Raghav has studied in rural areas while doing his schooling. His father is a farmer. He completed his MBBSfrom Mumbai and has six years of practice in a big city. He has good knowledge of the local language andworking knowledge of Hindi. He is ready to execute 3 year’s bond of service. He has done M.S. with 53%marks.(A) Not to be selected (B) Refer to the Secretary(C) To be selected (D) Data inadequate

69. Payal, after obtaining her MBBS and M.S., decided to practice in her native village for five years. Sheknows very well the local language. Her dispensary and small hopsital were very popular in the nearbyvillages. She plans to go to U.S.A. and U.K. after spending 4 more years in india. She has secured morethan 60% marks in all the examinations right from SSC to M.S. She is ready to execute a bond of 3 yearsof service.

(A) To be selected (B) Refer to C.M.O.(C) Not to be selected (D) Data inadequate

70. Dr. Aravind Swamy has stood first at MBBS after having obtained 78% marks. He has also completedM.S. with distinction. Dr. Swamy is fluent in the local language. He practised for three years in a ruralhospital and for one year in a multi-speciality hospital in a big city.(A) To be selected (B) Not to be selected(C) Refer to the President (D) Data inadequate

Directions for Q.71 - Q.72 : In each of the question given below, there are two statements labelled as Assertion(A) and Reason (R).Mark your answer as per the codes provided below :71. Assertion (A) : Telephone wires sag more in summer.

Reason (R) : They expand due to summer heat.(A) Both A and R are true and R is the correct explanation of A.(B) Both A and R are true but R is not the correct explanation of A.(C) A is true but R is false.(D) A is false but R is true.


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72. Assertion (A) : In India, the judiciary is independent of the executive.Reason (R) : Judiciary favours the government and helps in the implementation of its plans.(A) Both A and R are true and R is the correct explanation of A.(B) Both A and R are true but R is not the correct explanation of A.(C) A is true but R is false.(D) A is false but R is true.

Directions for Q.73 to Q.75 : In each question below are given two statements followed by two conclusionsnumbered I and II . You have to take the given two statements to be true even if they seem to be at variance fromcommonly known facts. Read the conclusion and then decide which of the given conclusion logically follows fromthe two given statements, disregarding commonly known facts.Give answer

73. Statements : All roads are waters. Some waters are boats.Conclusions : I. Some boats are roads.

II. All waters are boats.(A) if only conclusion I follows ;(B) if only conclusion II follows;(C) if either conclusion I or II follow;(D) if neither conclusion I nor II follows;

74. Statements : Some houses are offices. Some offices are schools.Conclusions : I. Some schools are houses.

II. Some offices are houses.III. No house is school.IV. Some schools are offices.

(A) Only II and III follow(B) Only I and IV follow(C) Only either III or IV, and I follow(D) Only II and IV and either I or III follow

75. Statements : No box is toy. All toys are blocks.Conclusions : I. Some blocks are toys.

II. Some blocks are boxes.III. No blocks is box.

(A) Only I follows(B) Only either II or III follows(C) Only either II or III, and I follow(D) None follows

Directions for Q.76 & Q.77 : Each of the following questions consists of five figures marked 1, 2, 3, 4 and 5called the Problem Figures followed by four other figures marked (A),(B),(C) and (D) called the Answer Figures.Select a figure from amongst the Answer Figures which will continue the same series as established by the fiveProblem Figures.

Problem Figures Answer Figures

76.

1 2 3 4 5 (A) (B) (C) (D)


1111

77.

1 2 3 4 5 (A) (B) (C) (D)

78. In the following questions, there is a set of five figures labelled 1, 2, 3, 4 and 5 called the Problem Setfollowed by a set of Four other figures labelled A, B, C and D called the Answer Set. Fig. 3 contains aquestion mark. Select a suitable figure form the Answer Set which will substitute this question mark, so thata series is formed by the figures 1, 2, 3, 4 and 5 taken in order. The number of the selected figure is theanswer. Problem Figures Answer Figures

1 2 3 4 5 (A) (B) (C) (D)

79. The following question consists of two sets of figures. Figures 1, 2, 3 and 4 constitute the Problem Set whilefigures A, B, C and D constitute the Answer Set. There is definite relationship between figures 1 and 2.Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the Answer Setthat would replace the question mark (?) in fig. (4).

1 2 3 4 (A) (B) (C) (D)

80. In the following question, count the number of triangles and squares in the given figure.

(A) 44 triangles, 10 squares (B) 14 triangles, 16 squares(C) 27 triangles, 6 squares (D) 36 triangles, 9 squares

81. Consider the adjoining diagram :What is the minimum number of different colours requiredto paint the figure given above such that no two adjacentregions have the same colour?

(A) 3 (B) 4(C) 5 (D) 6

82. In the following question, you are given a combination of alphabet and/or numbers followed by four alterna-tives (A), (B), (C) and (D). Choose the alternative which most closely resembles the mirror - image of thegiven combination.

(A) (B)

(C) (D)


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83. In the following question, choose the correct water-image of the fig. (X) from amongst the four alternatives(A), (B), (C) and (D) given along with it.

(X)

(A) (B) (C) (D)

Directions for Q.84 & Q.85 : In each of the following number series, two terms have been put within brackets.Mark your answer as(A) If both the bracketed terms are right(B) If the first bracketed term is right and second is wrong(C) If the first bracketed term is wrong and second is right; and(D) If both the bracketed terms are wrong

84. 4, 6, 10, (12), 16, (14), 22

85. (2), 5, (12), 25, 41, 61

86. If DRIVER = 12, PEDESTRIAN = 20, ACCIDENT = 16, then CAR = ?(A) 3 (B) 6 (C) 8 (D) 10

87. Pointing to a photograph, Arun said, “She is the mother of my son’s wife’s daughter”. How is the ladyrelated to Arun?(A) Uncle (B) Cousin (C) Daughter-in-law (D) None of these

88. In the following question, choose the number-letter group which is different from the others.

(A) OE3 (B) XD6 (C) JB5 (D) PH3

89. Which two months on a year have the same calender?(A) June, October (B) April, November (C) April, July (D) October, December

90. A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feetbefore he again begins climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at whattime will he first touch a flag at120 feet from the ground ?(A) 4 p.m. (B) 5 p.m. (C) 6 p.m. (D) None of these

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