5. ftre-2013-14-class 5 stu-obj-iq,s&m-merge-set a.pdf

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    FIITJEE Ltd. ICES House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -1100 16, Ph : 26569493, 26515949 Fax : 26513942

    FIITJEETalent Reward Examforstudent presently in

    Class 5Time: 3 Hours

    CODE 5AMaximum Marks: 194

    Instructions:

    Note:

    Check all the sheets of this question paper. Please ensure the same SET is marked on header of all thesheets inside as indicated above Maximum Marks of t his page. In case SET marked is not the same on allpages, immediately inform the invigilator and CHANGE the Questions paper.

    Registration Number :

    Name of the Candidate : _____________________________________________________________

    Test Centre : _____________________________________________________________

    Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheetbefore attempting the paper. Wrong CODE or no CODE will give wrong results.

    1. You are advised to devote 1 Hour on Section-I and 2 Hours on Section-II andSection-III.

    2. This Question paper consists of 3 sections. All questions will be multiple choice single correct out of fourchoices with marking scheme in table below:

    Section Question no. Marking Scheme for each questioncorrect answer wrong answer

    Q. 1 to 12 +2 0

    Q. 13 to 16 +3 1

    SECTION I

    (IQ)

    Q. 17 to 20 +6 0

    Q. 21 to 23 +6 1

    Q. 24 to 26 +8 2SECTION II

    (MATHEMATICS)Q. 27 to 30 +8 3

    Part A Physics Q. 31 to 36 +3 1

    Part B Chemistry Q. 37 to 42 +3 1

    SECTION III

    (SCIENCE &MATHEMATICS) Part C Mathematics Q. 43 to 50 +3 1

    3. Answers have to be marked on the OMR sheet.

    4. The Question Paper contains blank spaces for your rough work. No additional sheets will be provided forrough work.

    5. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, inany form, are not allowed.

    6. Before attempting paper write your Name, Registration number and Test Centre in the spaceprovided at the bottom of this sheet.

    A

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-2

    Time: 1 Hour

    IQSection I

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-3

    SSeeccttiioonn--II IQ

    1. Find the matching pair.5 is to 125 as 6 is to ____?(A) 36 (B) 72

    (C) 216 (D) 144

    2. Find the matching pair.8 is to 64 as 9 is to ____?(A) 27 (B) 36(C) 45 (D) 81

    3. Find the matching pair.ABC is to ZYX as JKL is to ____?(A) QPO (B) PQR(C) PON (D) ONM

    4. Find the next number in the series given below.3, 7, 15, 27, 43, ?(A) 59 (B) 60(C) 70 (D) 63

    5. If all the letters of the English alphabet are written in reverse order, then which letter will be 6thto

    the left of 5thletter from the right?

    (A) J (B) K(C) L (D) M

    6. Which number will replace the question mark in the following?(A) 25 (B) 10(C) 15 (D) 20

    2

    4

    416

    ? 3

    9 5

    Space for Rough Work

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-4

    Directions (Q. 7 to 9): If + is , is +, is and is , then answer the following questionsbased on the information.

    7. 21 8 + 2 12 3 = ?(A) 14 (B) 9(C) 13.5 (D) 11

    8. 15 5 3 + 1 1 = ?(A) 1 (B) 2(C) 3 (D) 1

    9. 6 9 + 8 3 20 = ?(A) 2 (B) 6(C) 10 (D) 12

    10. If RAM is coded as SBN in a certain language, then how will LAMP be coded in that language?(A) MBLQ (B) MBNQ(C) KBNQ (D) MBNO

    11. Find the figure which is different from the others.

    12. Find the figure which is odd one out.

    Directions (Q. 13 to 16): There are five friends, Chhota Bheem, Kalia, Dholu, Chutki and Bholu. Kaliaand Chutki like football, but the others like tennis. Only Bholu, Kalia and Chhota Bheem like going abroadfor their holidays. All but Chutki and Dholu have piano lessons.

    13. Who likes football and also likes going abroad for their holidays?(A) Dholu (B) Chhota Bheem(C) Kalia (D) Bholu

    14. Who likes football but does not have piano lessons?(A) Chutki (B) Bholu(C) Dholu (D) Chhota Bheem

    15. Who likes tennis but does not have piano lessons?

    (A) Bholu (B) Chhota Bheem(C) Chutki (D) Dholu

    16. How many children, who like tennis, also have piano lessons?(A) 4 (B) 2(C) 1 (D) 3

    Space for Rough Work

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-5

    Directi ons (Q. 17 to 20):P, Q, R, S, T, U, V and W are sitting round the circle and facing the centre.(i) P is second to the right T who is the neighbour of R and V.(ii) S is not the neighbour of P.(iii) V is the neighbour of U.(iv) Q is not between S and W. W is not between U and S.

    17. What is the position of S?(A) Between U and V (B) Second to the right of P(C) To the immediate right of W (D) Data inadequate

    18. Which of the following are not neighbours?(A) R and V (B) U and V(C) R and P (D) Q and W

    19. Which of the following is correct?(A) P is to the immediate right of Q (B) R is between U and V(C) Q is to the immediate left of W (D) U is between W and S

    20. Find who is sitting opposite to P?

    (A) S (B) U(C) V (D) W

    Space for Rough Work

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-6

    Time: 2 HoursSection II

    &Section III

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    FIITJEE L t d . , F II T JEE Hou s e, 2 9 -A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i -1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com

    FTRE-2013-IQ+M+S&M-V-(Set-A)-7

    SSeeccttiioonn--IIII Mathematics

    Comprehension 1 (Question No. 21-23)

    A fruit seller buys 100 apples at the rate of Rs. 10 for 5 apples and sold them at the rate of Rs. 20 for 5apples.

    21. The cost price of each apple is(A) Rs. 1 (B) Rs. 2(C) Rs. 3 (D) Rs. 4

    22. The selling price of each apple is(A) Rs. 4 (B) Rs. 5(C) Rs. 6 (D) Rs. 7

    23. His total profit or loss on selling all the apples is(A) Loss Rs. 200 (B) Profit Rs. 200(C) Profit Rs. 300 (D) Loss Rs. 300

    Comprehension 2 (Question No. 24-26)

    A problem of Distribut ion. Once there lived an old father. He lived with his three sons. He was quite rich and had 33 kg gold. Afterhis death, the sons read what he had written in his will.

    (i) My eldest son will get1

    2of my gold.

    (ii) My second son will get1

    3of remaining gold.

    (iii) My third son will get 16

    of remaining gold.

    24. How much gold will the second son get?

    (A)3

    5 kg6

    (B)5

    5 kg6

    (C) 5 kg (D)5

    4 kg6

    Space for Rough Work

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-8

    25. How much gold will the youngest son get?

    (A)15

    2 kg18

    (B)15

    1 kg18

    (C)15

    3 kg18

    (D)16

    2 kg18

    26. How much gold will be left after distribution?

    (A)1

    9 kg6

    (B)1

    8 kg6

    (C)1

    9 kg3

    (D)1

    7 kg6

    Comprehension 3 (Question No. 27-30)

    ABCD is a rectangle of length 10 cm and breadth 6 cm from which a square DEFG of side 2 cm and arectangle BHIJ of length 3 cm and breadth 2 cm are removed.

    F

    I2 cm

    3 cm

    2 cm

    2 cm

    D G C

    B

    J

    HA

    E

    6 cm

    10 cm

    (Diagram is not to scale)

    27. The perimeter of the rectangle ABCD is(A) 24 cm (B) 30 cm(C) 26 cm (D) 32 cm

    28. The area of the remaining portion after the removal of the square DEFG and rectangle BHIJ, is(A) 60 cm2 (B) 50 cm

    2

    (C) 40 cm2 (D) 30 cm

    2

    29. The difference between the perimeter of rectangle ABCD and that of new figure obtained after theremoval of square DEFG and rectangle BHIJ, is(A) 10 cm (B) 5 cm(C) 4 cm (D) 0 cm

    30. If the cost of fencing wire is Rs. 50 per metre. The cost of fencing the remaining portion after theremoval of square DEFG and the rectangle BHIJ, is(A) Rs. 1.60 (B) Rs. 160(C) Rs. 16 (D) Rs. 1600

    Space for Rough Work

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-9

    SSeeccttiioonn--IIIIII Science & Mathematics

    Physics (Part A)

    31. Which of the following objects, one can see across?

    (A) Wooden sheet (B) Plane mirror(C) Glass sheet (D) Both (B) and (C)

    32. Lunar eclipse occurs when(A) Earth comes between moon and sun(B) Sun comes between earth and moon(C) Moon comes between sun and earth(D) none of these

    33. Which of the following natural phenomena occurs due to movement of charge?(A) Lightning (B) Earthquake(C) Storm (D) Cyclone

    34. Which of the following is not a form of energy?(A) Heat (B) Light(C) Force (D) Sound

    35. Which of the following is not an example of lever?(A) See-saw (B) Nut-cracker(C) Scissors (D) Pulley

    36. Which of the following is/are non-contact force?(A) Electric force (B) Magnetic force(C) Gravitational force (D) all of the above

    Space for Rough Work

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-10

    Chemistry (Part B)

    37. A renewable source of energy which causes minimum or no pollution:(A) Petrol (B) L.P.G(C) Hydro power (D) C.N.G

    38. The green house gas which on combustion produces another green house gas, is(A) Nitrous oxide (B) Methane(C) Ozone (D) Chlorofluorocarbons

    39. Which of these are wrongly classified?Renewable Non-Renewable

    Rivers Solar energyWind Coal

    Tides Diesel

    Waves Nuclear energy(A) Solar energy and nuclear energy(B) Coal and diesel

    (C) Rivers and Tides(D) Waves and nuclear energy

    40. Which of these will happen if forests disappear?(a) Animals will lose their habitat(b) CO2in the atmosphere will increase(c) Floods(d) Soil Erosion(A) a, b and c (B) a, b and d(C) a, c and d (D) All of these

    41. Match the column I with column IIColumn I Column II

    (a) U.V. rays (p) Non renewable energy(b) Chlorofluoro carbons (q) Eye cataract and eye damage(c) Solar energy (r) Renewable energy(d) Fossil fuel (s) Ozone depletion

    (A) a s, b q, c r, dp(B) a q, b s, c r, d p(C) a s, b p, c q, d r(D) a q, b r, c p, d s

    42. Inspite of the fact that energy is conserved, we have serious energy crisis in the world. This isbecause:(A) The sun is becoming cooler day by day.(B) The design of the engines used today is defective.(C) The fuels do not burn completely in the engines.(D) We are continuously converting energy in such forms which cannot be recycled easily to do

    useful works.

    Space for Rough Work

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-11

    Mathematics (Part C)

    43.9

    10is equal to

    (A) 9 (B) 0.9(C) 90 (D) 900

    44. In which of the following, does the shaded part represent one third of its whole?

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

    45. An angle which measures 180is called(A) zero (B) right(C) straight (D) acute

    46. Ram scored 90.5 marks out of 100 in the public examination. What was his percentage of marks?(A) 90% (B) 90.5%(C) 95% (D) 95.5%

    47. Which of the following is the greatest decimal?(A) 0.0019 (B) 0.009(C) 0.019 (D) 0.0099

    48. 8.5 can be expressed in terms of percentage as(A) 0.85% (B) 8.5%(C) 85% (D) 850%

    49. Half of 1 percent written as a decimal is(A) 0.005 (B) 0.05(C) 0.02 (D) 0.2

    50. Two angles of a triangle measure 52and 72respectively. The measure of the third angle is(A) 56 (B) 50(C) 90 (D) 54

    Space for Rough Work

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-12

    (FTRE-2013)

    CLASS V

    HINTS (SET-A)1. (C) 5 is to 125 i.e. 5 is to 5

    3as 6 is to 6

    3= 216

    2. (D) 8 is to 64 i.e. 8 is to 82

    as 9 is to 92

    = 81.

    3. (A) ABC is ZYX

    A 1,

    Z 26,

    27

    B 2,

    Y 25,

    27

    C 3,

    C 24,

    27

    so, +

    J 10,

    Q 17,

    27

    K 11,

    P 16,

    27

    L 12,

    O 15,

    27

    4. (D) 63

    +4 +8 +12 +16 +20

    3 7 15 27 43

    5. (B) 6thto the left of 5

    th letter from the right i.e. (6 + 5) = 11

    thletter from right. So Answer is K.

    6. (A) 5 52= 25 2

    4

    416

    ? 3

    9 5

    (22)

    (3 )

    (4 )

    Directions (Solut ion for Q. 7 to 9):

    + is is is + is

    7. (B) 21 8 2 + 12 3 = 21 8 2 + 4 = 21 16 + 4 = 5 + 4 = 9.

    8. (D) 15 5 3 1 + 1 = 3 3 1 + 1 = 3 3 + 1 = 1.

    9. (C) 6 + 9 8 3 20 = 6 + 9 8

    3 20 = 6 + 24 20 = 10.

    10. (B) NR A M S B

    +1

    +1

    +1

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-13

    So,NL A M M B

    +1

    +1

    +1

    P Q

    +1

    11. (D) Except figure (D) all figures have 5 straight line. So, answer is (D).

    12. (C) Except figure (C) all arrows are joined with tail. So, answer is (C).

    Directions (Solut ion for Q. 13 to 16):Kalia Chhota Bheem Dholu Chutki Bholu

    Football Tennis Tennis Football Tennis(abroad) (abroad) (abroad)

    (piano lessons) (piano lessons) (piano lessons)

    13. (C)

    14. (A)

    15. (D)

    16. (B)

    Directions (Solut ion for Q. 17 to 20):W

    T

    PU

    S Q

    V R

    17. (C)

    18. (A)

    19. (C)

    20. (B)

    21. (B) Cost price of 5 aplples = Rs. 10

    Cost price of 1 apple = Rs.10

    5= Rs. 2

    Hence, Answer is (B).

    22. (A) Selling price of 5 apples = Rs. 20

    Selling price of 1 apple = Rs.20

    5= Rs. 4.

    Hence, Answer is (A).

    23. (A) Cost price of 100 apples = Rs. (2 100) = Rs. 200Selling price of 100 apples = Rs. (4 100) = Rs. 400Profit = S.P C.P = Rs. (400 200) = Rs. 200.Hence, Answer is (A).

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    FTRE-2013-IQ+M+S&M-V-(Set-A)-14

    Directions (Solut ion for Q. 24 to 26):Total Gold = 33 kg

    Eldest son will get =33

    kg2

    Remaining Gold =33 33

    33 kg.

    2 2

    Second son will get =1 33 33 3 1

    kg kg 5 kg or 5 kg.3 2 6 6 2

    Remaining Gold =33 33 99 33 66

    11kg.2 6 6 6

    Third (youngest son) will get =11 5

    kg 1 kg.6 6

    Left Gold =11 55 1

    11 kg kg 9 kg.6 6 6

    24. (A)

    25. (B)

    26. (A)

    27. (D) The perimeter of the rectangle of ABCD = 2 b 2 10 6 32cm.

    28. (B) Area of the remaining portion = Area of rectangle area of square DEFG area of rectangleBHIJ.= (10 6) 4 6 = (60 4 6) cm

    2

    = (60 10) cm2

    = 50 cm2

    29. (D) No change i.e. 0 cm.

    30. (C) 100 cm. fencing wire cost Rs. 50

    1 cm =50

    100

    32 cm .. =50

    32100

    = Rs. 16

    31. Glass sheet is a transparent object.

    32. Lunar eclipse occurs when Earth comes between moon and sun.

    33. Lightning is natural phenomenon which occurs due to movement of charge.

    34. Force is not form of energy.

    35. Pulley is not an example of lever.

    36. All the forces are non-contact force.

    37. Hydropower is the renewable source which causes no pollution, although L.P.G and C.N.Gcauses minimum pollution but they are non-renewable sources.

    38. Methane on combustion gives a green house gas CO2 and water vapour.

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    39. Rivers, wind, tides, waves solar energy and nuclear energy are renewable, coal and diesel are

    non-renewable sources.

    40. When forests will disappear, animals will lose their habitat, CO2in the atmosphere will increase.It may leads to floods, soil erosion.

    41. U.V. rays causes eye cataract and eye damage.Chlorofluoro carbons causes ozone depletion.Solar energy is renewable resource.Fossil fuel is non renewable.

    42. Even though the energy is conserved a part of it is always converted into those forms whichcannot be recycled into energy without considerable efforts.

    43. (B)9

    0.910

    44. (D) Figure (D)s shaded part represents one third of its whole.

    45. (C) 180 is called straight angle.

    46. (B) 90.5 marks out of 100 is 90.5%

    47. (C) 0.019

    48. (D) 8.5 100 850%

    49. (A) 1% =1 1 0.5

    0.005100 2 100

    50. (A) Third angle = 180 - (52 + 72) = 180 124 = 56.