BM
BM
                                             SECTION-A : SCIENCE
1.   The element which is mainly electroplated on car              4.   The force which is only attractive in nature is
     parts, bath taps, bicycle's handlebars etc., to give               (1) Gravitational force
     shiny appearance is                                                (2) Electrostatic force
     (1) Zinc                    (2) Aluminium                          (3) Magnetic force
     (3) Chromium                (4) Copper                             (4) Both electrostatic and magnetic force
2.   In the figure given below, an ideal pendulum oscillates       5.   Read statement-1 and statement-2 and choose the
     in vacuum between two extreme positions A and B.                   correct option.
     If it goes from position A to position B and then                  Statement-1 : In some situations, friction facilitates
     returns from position B to mean position C in 3 s,                 the motion and in some situations, it opposes the
     then it will complete 3.5 oscillations in                          motion.
                                                                        Statement-2 : Friction force always opposes the
                                                                        relative motion between two surfaces in contact.
                                                                        Choose the correct option.
                       A            B                                   (1) Only statement-1 is correct
                                                                        (2) Only statement-2 is correct
                            C                                           (3) Both statement-1 and statement-2 are correct
     (1) 14 s                 (2) 4 s
                                                                        (4) Neither statement-1 nor statement-2 is correct
     (3) 1.14 s               (4) 2 s
                                                                   6.   Which of the following is made up of a large number
3.   Water is filled upto same height in two identical                  of ester units?
     closed containers A and B. Container A has vacuum
                                                                        (1) Teflon                  (2) PVC
     over the water while container B has air over the
     water. At the same depth of both the containers                    (3) Bakelite                (4) Polyester
     there is an opening on which identical balloons A             7.   Consider the following :
     and B are attached as shown in the figure given                    Fibre A - Rayon
     below. Then                                                        Fibre B - Natural fibre which is a polymer of glucose
                                                                        Fibre C - First fully synthetic fibre
              Vacuum                        Air                         Identify A, B and C and choose the correct option.
                                                                              Strongest       Least       Fibre known
                                                                                 fibre     disastrous      as artificial
                                                                                            fibre on           silk
                   Balloon A                      Balloon B                               catching fire
     Container-A                    Container-B
                                                                        (1)      A              B              C
     (1)   Balloon-A will bulge more than balloon-B
                                                                        (2)      B              C              A
     (2)   Balloon-B will bulge more than balloon-A
                                                                        (3)      C              B              A
     (3)   Both the balloons will bulge equally
     (4)   None of the balloons will bulge                              (4)      C              A              B
                                                               1
Aakash National Talent Hunt Exam 2018                                                                                                 Sample Paper (VIII Studying)
8.                          In which of the following liquids phosphorus is                                      Which of the following is the correct reason for the
                            generally stored ?                                                                   increase in the yield of maize grown in
                            (1) Alcohol                             (2) Sugar solution                           June-September 2015?
                            (3) Water                               (4) Kerosene                                 (1) Gram grown in October-March, 2014-15 utilizes
                                                                                                                     all the nutrients present in the soil
9.                          Which of the following elements is non-ductile?
                            (1) Silver                              (2) Gold                                     (2) Maize grown in June-September, 2014 leaves
                                                                                                                     most of the nutrients for the growth of maize in
                            (3) Carbon                              (4) Copper                                       next year
10. Consider the following figure.
                                                                                                                 (3) Gram grown in October-March, 2014-15
                                                                                                                     replenishes the soil with nitrogen for better growth
                                                                                                                     of maize
                            CuSO4                 HCl             CuSO4              NaOH
                                                                                                                 (4) Gram grown in October-March, 2014-15 takes
                                 Zn               Zn                Fe                 Al
                                      Case-I            Case-II           Case-III          Case-IV
                                                                                                                     the nutrients left by maize grown in
                            In which of the given cases a gas is released?                                           June-September 2014 and transfers it to maize
                                                                                                                     grown in June-September 2015
                            (1) I and III                           (2) II and III
                                                                                                            13. Regarding wildlife sanctuaries, which of the following
                            (3) I and II                            (4) II and IV
                                                                                                                statements is/are incorrect?
11. A man took 375 ml of water in a beaker and
    dissolved 2-3 teaspoons of sugar in it and also                                                              (I) They provide protection to wild animals.
    added half a spoon of powder 'A' to this solution. He                                                        (II) Capturing of animals is permitted here.
    kept the solution in a warm place. After 4-5 hours he
    observed the smell of alcohol coming from that                                                               (III) They provide suitable living conditions to wild
    solution.                                                                                                          animals.
                            Here, powder 'A' added is of                                                         (IV) Here, animals live in artificial settings.
                            (1) Yeast                               (2) Lactobacillus                            (1) (II) and (IV)          (2) (I) and (II)
                            (3) Paramecium                          (4) Amoeba                                   (3) (IV) only              (4) (II) and (III)
12. In the given bar graph, yields of different crops in                                                    14. A farmer needs to spray 2,4-D in his crop field. This
    successive years are shown.                                                                                 indicates that
                            60
                                          Maize
Maize
                                                                                                        2
Sample Paper (VIII Studying)                                                   Aakash National Talent Hunt Exam 2018
SECTION-B : MATHEMATICS
                                                                               500 - 525                   48
                                    O
                                                                               525 - 550                   52
                                                                               550 - 575                   55
               D             C               E
                                                                               575 - 600                   96
     (1) 20°                     (2) 10°
                                                                               600 - 625                   88
     (3) 30°                     (4) 40°
                                                                               625 - 650                   85
        5.6( x  3)
21. If               24 , then the value of (2x + 1) is                       650 - 675                   46
           0.7
     (1) 0                        (2) 1                                        675 - 700                   98
                                                            3
Aakash National Talent Hunt Exam 2018                                                         Sample Paper (VIII Studying)
     Which class interval of weekly wages has the               25. If a, b, c and d are four odd perfect cube numbers,
     maximum number of workers?                                     then which of the following is always a factor of
                                                            4
Sample Paper (IX Studying)                                                                              Aakash National Talent Hunt Exam 2018
                                                            SECTION-A : SCIENCE
1.   Two stones, having masses in the ratio of 3 : 2, are                    4.   If the displacement of a particle is equal to zero,
     dropped from the heights in the ratio of 4 : 9. The                          then its distance
     ratio of magnitudes of their linear momenta just
     before reaching the ground is (neglect air resistance)                       (1) Must be equal to zero
     (1) 4 : 9                               (2) 2 : 3                            (2) Can't be equal to zero
     (3) 3 : 2                               (4) 1 : 1
                                                                                  (3) Can be negative
2.   Two point masses M and 3M are placed at a
     distance L apart. Another point mass m is placed in                          (4) May or may not be equal to zero
     between on the line joining them so that the net
                                                                             5.   Velocity-time graph of a block of mass 100 g sliding
     gravitational force acting on it due to masses M and
                                                                                  on a horizontal concrete floor under the action of a
     3M is zero. The magnitude of gravitational force
                                                                                  constant force of 5 N is shown below. The
     acting due to mass M on mass m will be
                                                                                  magnitude of frictional force acting on the block due
                               
                                    2
           GMm 1  3                                                              to the floor is
     (1)
                       L2
            3GMm                                                                                   80
     (2)   2
               
           L 1 3           
                                                                                   Velocity(m/s)
                                                                                                   60
                               
                                    2
           GMm 1– 3
     (3)
                   L2                                                                              40
     (4)
           GMm 1– 3                                                                              20
                       2
                L
3.   Two persons just manage to push a block from left
                                                                                                    O
     to right direction along a horizontal level road with                                                   2    4     6       8 Time (s)
     uniform velocity. When the same block is pushed
     by three persons in same direction a constant                                (1) 4 N                             (2) 5 N
     acceleration of 0.2 ms–2 is produced in the block. If
                                                                                  (3) 3 N                             (4) Zero
     the five persons push the block in same direction
     together, then the magnitude of acceleration of the                     6.   The boiling point of a liquid X is 20°C more than that
     block will be [Assume that each person applies the                           of water. Boiling point of X is
     force equal in magnitude]
                                                                                  (1) 353 K                           (2) 373 K
     (1) 0.4 ms–2                            (2) 0.6 ms–2
     (3) 0.8 ms–2                            (4) 1 ms–2                           (3) 393 K                           (4) 120 K
                                                                         5
Aakash National Talent Hunt Exam 2018                                                      Sample Paper (IX Studying)
7.   The physical state of matter that consists of super        10. Pehal and Ishaan were making 100 g sugar solutions
     energetic and super excited particles in the form of           with concentration by mass 20% and 50%
     ionised gases is                                               respectively. Pehal added 20 g of sugar in her
                                                                    solution whereas Ishaan evaporated 20 g of water
     (1) Solid                                                      from his solution. Now, the two solutions were mixed
     (2) Liquid                                                     to form a final solution. The concentration by mass
                                                                    of final solution is
     (3) Plasma
                                                                     (1) 28%                    (2) 45%
     (4) Gas
                                                                     (3) 40%                    (4) 60%
8.   Consider the following diagram.
                                                                11. Select the incorrect statement regarding that
                  10 mL      10 mL      10 mL
                                                                    organelle of animal cell which has its own DNA and
                                                                    ribosomes.
                                                            6
Sample Paper (IX Studying)                                                          Aakash National Talent Hunt Exam 2018
                                                                           According to the observation, correct order of sugar
                                                                           concentration of those solutions is
               Semipermeable             Semipermeable
           B     membrane          B       membrane      C                 (1) A > C = B > D             (2) A > D > B = C
                               D
                                                                           (3) D > B = C > A             (4) C = B > D > A
           Level of solution D     No change in the                   14. The cells of which tissue differentiate to form different
           dropped down            level of solutions                     types of permanent tissue?
                                               SECTION-B : MATHEMATICS
16. If ab = bc = ab, then b + c always equals                         19. If p and q are two distinct irrational numbers, then which
                                                                          of the following is always an irrational number?
             1                            1                                     p
     (1)                           (2)      bc
            bc                            2                               (1)                            (2) pq
                                                                                q
     (3) 1                         (4) bc                                                                   p 2q  qp
                                                                          (3) (p +   q)2               (4)
17. Which of the following is a factor of 2x4 + 1 + 3x2?                                                        pq
                                                                      20. In the given figure, if r || s, p || q and u || t, then c
     (1) 1 + 2x2                                                          equals
     (2) 4 + x2                                                                                    p
                                                                                                                q
     (3) 2x2 – 1
                                                                                         c           E            b
     (4) 3 + x2                                                                                                               r
                                                                                     I                           F
18. The graph of the equation 5x – 3y = 10 cuts the                                          a
    x-axis at the point                                                                          H           G                s
         ⎛ 10 ⎞
     (1) ⎜ 0,
         ⎝    3 ⎟⎠
                                                                                                         J            N
     (2) (–2, 0)                                                                                             M            u
                                                                                                              t
     (3) (2, 0)                                                            (1) a – b                     (2) 2a + b
     (4) (0, 0)                                                            (3) a + b                     (4) b – a
                                                                  7
Aakash National Talent Hunt Exam 2018                                                       Sample Paper (IX Studying)
21. If 8a  64b  c  24 3 abc , where a, b, c  0, then       24. In the given figure, ABC  EDA. If X and Y are
    which of the following can be true?                            points lying on AD and EG respectively such that
                                                                    AX EY                    DX
     (1) 2 3 a  4 3 b  3 c  0                                          1 . The value of    is always
                                                                    XC YG                    FY
(2) 2 3 a  4 3 b  3 c A
(3) a + b + c = 0
     (4) a = b = c
                                                                                                    X
22. In the given figure, if AB intersects CD at O,                                                      D
    CB || AD || EF || GH, BH = AE and OH = OE, then
    which of the following is not always correct?                                                           C
                                                                             B          F           G
                       C                   B
                                                                                                Y
                           G           H                                                    E
                                   O                               (1) Greater than 1
                           E           F                           (2) Equal to 1
                       A                   D                       (3) Less than 1
     (1) BC = AD                                                                   3
                                                                   (4) Equal to
     (2) OC = OD                                                                   2
                                                               25. In the given ABC, E is a point on AD.
     (3) GH = EF
                                                                   If AEB, ADB and ACD are equal to 180° – k1,
     (4) OB = OD                                                   180° – k 2 and 180° – k 3 respectively, then
                                                                   k1 : k2 : k3 equals
23. A tile is in the shape of a rhombus whose diagonals
    are (x + 5) units and (x – 8) units. The number of
                                                                                                A
    such tiles required to tile on the floor of area
    (x2 + x – 20) sq. units is
                                                                                             
           2( x  6)
     (1)                                                                                        E
           ( x  2)
                                                                                    
         x4                                                                        
     (2)
         x 2                                                                B                  D           C
           2( x  4)                                               (1) 1 : 2 : 3
     (3)
            ( x  8)                                               (2) 2 : 3 : 4
                                                                   (3) 3 : 4 : 5
         x 8
     (4)                                                           (4) 1 : 3 : 5
         x2
                                               Space for Rough Work
                                                           8
Sample Paper (IX Studying)                                                     Aakash National Talent Hunt Exam 2018
                                                                                            5
                                    Finally moving
                                                                                     96            24
      Initial point
     (1) South-West           (2) South-East                                         K               G
(1) 9 (2) 12
(3) 10 (4) 15
                          ?
                                                                30. Mr. Smith has a bag A. Bag A has n numbers of
                                                                    bag B. Each bag B has n numbers of bag C. Each
                                                                    bag C has n numbers of one rupee coins in it. If one
                                                                    bag B is removed from bag A, then the total number
                                                                    of coins left in bag A is
     (1)                      (2)                                    (1) n(n – 1)(n + 1)
(2) n(n – 1)
                                                                     (3) n2(n + 1)
     (3)                      (4)
                                                                     (4) n2(n – 1)
                                                            9
Aakash National Talent Hunt Exam 2018                                                         Sample Paper (X Studying)
                                             SECTION-A : SCIENCE
1.   The power of engine of a car of mass 1200 kg is                        2                        2
     25 kW. The minimum time required to reach a velocity               (1)  (90 – i )          (2)  i
                                                                             1                         1
     of 90 km/h by the car after starting from rest is
     (1) 15 s                    (2) 25 s                               (3) i                     (4) 90° – i
     (3) 60 s                    (4) 12 s                          4.   Choose the incorrect statement among the following.
2.   The effective resistance in between the points A
     and B in the circuit given below is                                (1) When a body is immersed fully or partially into
                                                                            a fluid, it experiences an upward force that is
                14        A B          5
                                                                            equal to weight of the fluid displaced by it
                     9  48                                            (2) A stone is tied with a light spring balance using
      10                       20            15                          a light string. As this stone is slowly lowered
                                                                            into the water, the reading of the spring balance
                  8               6                                       decreases till it touches the bottom of the
     (1) 23                     (2) 32                                    container as shown in the figure given below
     (3) 12                     (4) 45 
3.   In the arrangement given below, there are two                                            Spring balance
     rectangular glass slabs placed side by side as
     shown. A ray of light is incident from air onto the
     surface of glass slab-1 having refractive index 1 at
     an angle of incidence i. Thereafter, it moves through                                                     Water
     glass slab-2 of refractive index 2 and after emerging                                                Stone
     from the glass slab-2, it reflects from a smooth
     horizontal plane mirror. The angle  which reflected               (3) Lactometer is used to measure the purity of a
     ray makes with the mirror is                                           sample of milk
             i     Air                                                  (4) The density of the object can be measured in
                                1                                          kgcm–3
                                       Glass Slab-1
                                                                   5.   A concave lens is required to correct
                                2                                      (1) Myopia                (2) Presbyopia
                                       Glass Slab-2
                                                                        (3) Hypermetropia         (4) Cataract
             Air
                                                                   6.   Four moles of a compound 'X' weigh 176 g.
                                                                        Compound 'X' is
                                                              10
Sample Paper (X Studying)                                                         Aakash National Talent Hunt Exam 2018
7.   On the basis of given information, identify 'X'.                11. Select the correct option w.r.t. excretory parts that
       Atomic    Mass No. of     No. of  No. of  Symbol
                                                                         occur in pairs in human beings.
        No.       No. Electrons Protons Neutrons
                                                                          (1) Ureter, urethra and urinary bladder
          1        1         1     A          B           X
                                                                          (2) Urinary bladder and urethra only
     (1) H                       (2) Ne
     (3) H+                      (4) He2+                                 (3) Kidney and ureter
10. 'X' and 'Y' are two metallic elements. 'Y' is more
                                                                                                                  E
    reactive than 'X'. The reaction of 'Y' with iron oxide is
    highly exothermic and is used to join railway tracks.
    Y does not react with hot or cold water but reacts
    with steam to form its oxide. 'X' reacts with sodium
                                                                          (a) Increases heart rate.
    hydroxide to produce a gas 'Z' which burns with pop
    sound. 'X' is also a constituent of brass. Which of                   (b) Regulates carbohydrate, protein and fat
    the following statements are not correct for 'X', 'Y' and
                                                                              metabolism.
    'Z'?
     (i) 'Y' is aluminium and 'X' is copper.                              (c) High blood sugar level.
     (ii) Oxides of 'X' and 'Y' are amphoteric.                           (d) Faster breathing rate.
     (iii) 'Y' forms a compound with formula YCl3 with
           chlorine.                                                             (a)      (b)         (c)   (d)
     (iv) 'X' is used for galvanisation.                                  (1)     C       B           D     C
     (v) 'Z' is oxygen.                                                   (2)     A       E           B     D
     (1) (i), (ii) & (iii)       (2) (ii), (iii) & (iv)                   (3)     D       C           E     A
     (3) (i) & (iv)              (4) (i) & (v)                            (4)     A       B           D     A
                                                                11
Aakash National Talent Hunt Exam 2018                                                                Sample Paper (X Studying)
13. Identify the odd one out from I, II and III separately                14. At higher altitudes, air becomes rarer and amount of
    and select the correct option for those odd ones.                         oxygen per litre of air decreases.
                                                                              Increase in all of the following would compensate this
     I.    Intestinal juice, Pancreatic juice, Saliva, Bile juice.            decrease for performing normal biological functions of
     II.   Mucus, Pepsin, Trypsin, Lipase.                                    our body, except
                                                                              (1) The concentration of haemoglobin
     III. Amino acid, Glycerol, Hydrochloric acid, Glucose.                   (2) The number of red blood cells
     (1) Intestinal juice, Lipase, Glucose                                    (3) The temperature of the body
                                                                              (4) The rate of breathing
     (2) Saliva, Trypsin, Amino acid                                      15. Which among the following organisms divide into many
                                                                              daughter cells simultaneously by multiple fission?
     (3) Bile juice, Pepsin, Amino acid
                                                                              (1) Amoeba                   (2) Plasmodium
     (4) Bile juice, Mucus, Hydrochloric acid                                 (3) Hydra                    (4) Planaria
                                             SECTION-B : MATHEMATICS
16. If a2 + b2 + c2 = 14, then ab + bc + ca is always                     19. A cylindrical vessel open at the top has a base
    greater than or equal to                                                  diameter 56 cm. If the total cost of painting the outer
    (1) 0                    (2) 14                                            curved surface of the vessel is ` 352 at the rate of
    (3) –1                   (4) –7                                            ` 0.2 per 100 cm2, then the height of the vessel is
17. In the given figure, if ABC is a triangle, D and E are                     (1) 15 m                  (2) 10 m
    the points on BC such that ADC ~ AEB, then
                                                                               (3) 6 m                   (4) 12 m
     AD
          is always equal to                                              20. Out of the given four quadrilaterals, in which of the
     AE
                             A                                                following, the diagonals always bisect each other at
                                                                              right angles?
                                                                               (1) Trapezium             (2) Rhombus
                                                                               (3) Rectangle             (4) Kite
                                                                          21. If the HCF and LCM of 48 and 56 are respectively
               B         D   E      C                                                                    l
                                                                              h and l, then the value of   is
         AB                   AC                                                                         h
     (1)                 (2)
         CE                   AB                                               (1) 40                    (2) 42
         AD                   CE                                               (3) 36                    (4) 44
     (3)                 (4)
         CE                   AD
                                                                          22. The system of linear equations 5x + my = 10 and
                   1       1             1
18. The value of               …           is                              4x + ny = 8 have infinitely many solutions, where m
                 2 7   7  10        28  31                                 and n are positive integers. Then, the minimum
        4  28                2  31                                          possible value of (m + n) is equal to
    (1)                  (2)
           3                     3
                                                                               (1) 9                     (2) 5
             28  4                       31  2
     (3)                           (4)                                         (3) 6                     (4) 10
              3                            3
                                                       Space for Rough Work
                                                                     12
Sample Paper (X Studying)                                                         Aakash National Talent Hunt Exam 2018
23. The quadratic equation abx2 + acx + b(bx + c) = 0              25. The common difference of an arithmetic progression
    has non-zero equal and rational roots. The values of
                                                                                                27
    a and c respectively cannot be equal to (ab  0)                    in which a15  a6        , is (where an is the nth term
                                                                                                 2
    (1) 4 & 49               (2) 49 & 16
    (3) 4 & 64               (4) 8 & 49                                 of the given AP)
                                                              13
           Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Ph.: 011-47623456
                                        ANSWERS
Class VIII Studying                    Class IX Studying                      Class X Studying
      1.    (3)                              1.   (4)                               1.      (1)
      2.    (1)                              2.   (1)                               2.      (2)
      3.    (2)                              3.   (2)                               3.      (4)
      4.    (1)                              4.   (4)                               4.      (2)
      5.    (3)                              5.   (1)                               5.      (1)
      6.    (4)                              6.   (3)                               6.      (3)
      7.    (3)                              7.   (3)                               7.      (1)
      8.    (3)                              8.   (4)                               8.      (2)
      9.    (3)                              9.   (2)                               9.      (3)
      10. (4)                                10. (2)                                10. (4)
      11. (1)                                11. (2)                                11. (3)
      12. (3)                                12. (2)                                12. (1)
      13. (1)                                13. (4)                                13. (4)
      14. (2)                                14. (4)                                14. (3)
      15. (4)                                15. (2)                                15. (2)
      16. (2)                                16. (4)                                16. (4)
      17. (1)                                17. (1)                                17. (2)
      18. (3)                                18. (3)                                18. (4)
      19. (1)                                19. (4)                                19. (2)
      20. (2)                                20. (3)                                20. (2)
      21. (2)                                21. (1)                                21. (2)
      22. (2)                                22. (4)                                22. (1)
      23. (2)                                23. (3)                                23. (4)
      24. (4)                                24. (2)                                24. (4)
      25. (2)                                25. (2)                                25. (2)
      26. (4)                                26. (1)                                26. (3)
      27. (2)                                27. (4)                                27. (4)
      28. (4)                                28. (3)                                28. (1)
      29. (2)                                29. (1)                                29. (4)
      30. (4)                                30. (4)                                30. (3)