Class XI Nurture Sample Test Paper (ALLEN)

Sample Questions for A S AT (ALLEN Scholarship Admission Test) CLASSROOM CONTACT PROGRAMME NURTURE COURSE (FOR X to XI MOVING STUDENTS)...

Sample Questions for A S AT (ALLEN Scholarship Admission Test) CLASSROOM CONTACT PROGRAMME NURTURE COURSE (FOR X to XI MOVING STUDENTS) ® ALLEN Corporate Office: "SANKALP" CP-6, Indra Vihar, Kota (Rajasthan) INDIA 324005 Call : +91-744-2757575 | Mail : [email protected] | Website : www.allen.ac.in INSTRUCTIONS ( ) Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.       5            Things NOT ALLOWED in EXAM HALL : Blank Paper, clipboard, log table, slide rule, calculator, camera, mobile and any electronic or electrical gadget. If you are carrying any of these then keep them at a place specified by invigilator at your own risk  :   1. This booklet is your Question Paper. DO NOT break seal of 1.  Booklet until the invigilator instructs to do so.  2. Fill your Form No. in the space provided on the top of this page. 2.  3. The Answer Sheet is provided to you separately which is a 3.  (ORS)  machine readable Optical Response Sheet (ORS). You have to   ORS   mark your answers in the ORS by darkening bubble, as per  your answer choice, by using black & blue ball point pen. 4. Total Questions to be Attempted 80. Part-I : 20 Questions 4. 80   -I : 20  -II : 60 . & Part-II : 60 Questions. 5. After breaking the Question Paper seal, check the following : 5.  : a. There are 19 pages in the booklet containing question a.  19 1 100  2  -I  no. 1 to 100 under 2 Parts i.e. Part-I & Part-II. b. Part-I contains total 20 questions of IQ (Mental Ability). -II c. Part-II contains total 80 questions under 4 sections b. -I  20 IQ ( )  which are-Section (A) : Physics, Section (B): Chemistry, c. -II  80 4  (A) :  , Section (C): Mathematics* & Section (D): Biology*. (B):  , (C): * (D) :  *  *Important : *For Engineering Stream attampt Only * : *    (A) :  , Section-A (Physics), Section-B (Chemistry) & (B) :   (C):  Section-C (Mathemataics). *For Medical Stream attampt Only Section-A (Physics), * : *    (A) :  , Section-B (Chemistry) & Section-D (Biology). (B) :   (D) :  *  6. Marking Scheme : 6.  : a. If darkened bubble is RIGHT answer : 4 Marks. a.  : 4  b. If no bubble is darkened in any question: No Mark. b.  :  c. Only for part - II : If darkened bubble is WRONG answer: c.  - II :  –1 Mark (Minus One Mark).  –1 ( ). 7. Think wisely before darkening bubble as there is negative 7.  marking for wrong answer.  8. If you are found involved in cheating or disturbing others 8.  ORS  then your ORS will be cancelled.  9. Do not put any stain on ORS and hand it over back properly 9. ORS  to the invigilator.   Sample questions for ASAT : Nurture Course PART - I IQ (MENTAL ABILITY) This section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct.  20  (1), (2), (3)   (4)    1. Find the next term in the given alphabet series– 1.  – YEB, WFD, UHG, SKI, ? YEB, WFD, UHG, SKI, ? (1) QNL (2) QOL (1) QNL (2) QOL (3) QGL (4) TOL (3) QGL (4) TOL 2. What is the mirror image of b3k4s 2. b3k4s  (1) (2) (1) (2) (3) (4) (3) (4) 3. Which one will replace the question mark ? 3.  56 28 ? 56 28 ? 5 9 6 8 5 6 5 9 6 8 5 6 (1) 11 (2) 53 (3) 36 (4) 10 (1) 11 (2) 53 (3) 36 (4) 10 4. Two positions of a dice are shown. Which 4.  5  number will appear on the face opposite to 5?  ? 3 3 3 3 1 5 2 6 5 6 1 2 (1) 1 (2) 2 (3) 4 (4) 6 (1) 1 (2) 2 (3) 4 (4) 6 5. Raman is sixth from the left end and Pintu is 5.  tenth from the right end in a row of boys. If  there are six boys between Raman and Pintu,  how many boys are there in the row ? (1) 25 (2) 24 (3) 20 (4) 22 (1) 25 (2) 24 (3) 20 (4) 22 6. Find the number of rectangles in the given figure 6.  (1) 10 (2) 16 (3) 18 (4) 20 (1) 10 (2) 16 (3) 18 (4) 20 1/19 Sample questions for ASAT : Nurture Course 7. If in a certain code, STUDENT is written as 7.  STUDENT RSTEDMS RSTEDMS, then how would TEACHER be  TEACHER  written in the same code ?  (1) SZZDGEQ (2) SZDDGEQ (1) SZZDGEQ (2) SZDDGEQ (3) SDZDGDQ (4) SDZCGDQ (3) SDZDGDQ (4) SDZCGDQ 8. A vagabond runs out of cigarettes. He searches 8.  for the stubs, having learnt that 7 stubs can 7  make a new cigarette, good enough to be 49  45  smoked, he gathers 49 stubs, If he smokes 1  1 cigarette every three - quarters of an hour, how long will his supply last ?  (1) 5.25 hr (2) 6 hr (1) 5.25  (2) 6  (3) 4.5 hr (4) 3 hr (3) 4.5  (4) 3  9. Y is in the East of X which is in the North of Z. 9. Y, X  Z  P, Z  If P is in the south of Z, then in which direction  Y  P  ? of Y, is P ? (1)  (2)  (1) North (2) South (3) South-East (4) None of these (3)  (4)  10. In the following question, two statements are 10.  given followed by three or four conclusions  numbered I, II, III and IV. You have to take the  given statements to be true even if they seem to be at variance from the commonly known :  facts and then decide which of the given  : conclusions logically follows from the given statements disregarding commonly known facts. I.  Statements : All branches are flowers. All II.  flowers are leaves. Conclusions : III.  I. All branches are leaves. IV.  II. All leaves are branches. III. All flowers are branches. (1)  IV. Some leaves are branches. (2) I  IV  (1) None follows (2) Only I and IV follow (3) II  III  (3) Only II and III follow (4) All follow (4)  2/19  Sample questions for ASAT : Nurture Course 11. The figure given below shows the three 11.           different positions of a dice. Which number      4   will appear opposite to number 4 ?  2 3 4 2 3 4 1 3 1 5 2 3 1 3 1 5 2 3 (1) 5 (2) 1 (3) 3 (4) 2 (1) 5 (2) 1 (3) 3 (4) 2 12. If P is the brother of the son of Q’s Son, how is 12. P, Q  P Q  P related to Q ?  (1) Son (2) Brother (1)  (2)  (3) Cousin (4) Grandson (3)  (4)  13. Neelam, who is Rohit’s daughter, says to Indu, 13.  “Your mother Reeta is the younger sister of  my father, who is the third child of Sohanji.”  How is Sohanji related to Indu ? (1)  (2)  (1) Maternal-uncle (2) Maternal Grandfather (3) Father (4) Father-in-law (3)  (4)  14. In the following question, two statements are 14.  given followed by three or four conclusions  numbered I, II, III and IV. You have to take the  given statements to be true even if they seem to be at variance from the commonly known :  facts and then decide which of the given  conclusions logically follows from the given  : statements disregarding commonly known facts. Statements : All politicians are honest. I.  All honest are fair. II.  Conclusions : I. Some honest are politician. III.  II. No honest is politician. IV.  III. Some fair are politician. (1)  IV. All fair are politician. (1) None follows (2) I  (2) Only I follows (3) I  II  (3) Only I and II follow (4) Only I and III follow (4) I  III  3/19 Sample questions for ASAT : Nurture Course 15. Find the least square number which is exactly 15.  10, 12, 15  18  divisible by 10, 12, 15 and 18 ?  ? (1) 900 (1) 900 (2) 400 (2) 400 (3) 1600 (3) 1600 (4) none (4)  16. How many triangles and squares are there in 16.  the following figure ? (1) 28  , 5  (1) 28 triangles, 5 squares (2) 24  , 4  (2) 24 triangles, 4 squares (3) 28  , 4  (3) 28 triangles, 4 squares (4) 24 triangles, 5 squares (4) 24  , 5  17. If 27 * 3 = 243 17. 27 * 3 = 243 5 * 4 = 80 5 * 4 = 80 then what is the value of 3 * 7 ?  3 * 7  (1) 84 (2) 147 (1) 84 (2) 147 (3) 63 (4) 23 (3) 63 (4) 23 18. A clock is set to show the correct time at 18.  11 A.M.  11 A.M. The clock gains 12 minutes in 12   12  12 hours. What will be the true time when the  1 P.M.  watch indicates 1 P.M. on 6th day ?  ? (1) 10 A.M. (1) 10 A.M. (2) 11 A.M. (2) 11 A.M. (3) 12 noon (3)  12 (4) none of these (4)  19. In a day, how many times the hour hand & 19.  minute hand of a clock are at right angles to  each other ? (1) 40 (2) 44 (1) 40 (2) 44 (3) 48 (4) 45 (3) 48 (4) 45 20. If in a leap year it was Monday on 1st January, 20.   (leap year)  1    then the number of maximum Saturdays the         leap year can have, is  - (1) 51 (2) 52 (1) 51 (2) 52 (3) 53 (4) 54 (3) 53 (4) 54 4/19  Sample questions for ASAT : Nurture Course PART-II SECTION-A : PHYSICS This section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct.  20  (1), (2), (3)   (4)    21. If an electric iron of 1200 W is used for 21. 1200 W  30  30 minutes every day, electric energy  consumed in the month of April is  (1) 5 kWh (2) 10 kWh (1) 5 kWh (2) 10 kWh (3) 16 kWh (4) 18 kWh (3) 16 kWh (4) 18 kWh 22. Identify the given circuit in which the electrical 22.  components have been properly connected  (1) (i) (2) (ii) (3) (iii) (4) (iv) (1) (i) (2) (ii) (3) (iii) (4) (iv) 23. A bead starts sliding from a point P on a frictionless 23.    P    wire with initial velocity of 5 ms–1. Find the 5 ms–1 R  velocity of bead at point R (take g = 10 ms–2)  (g = 10 ms )–2 P (1) 7 m/s P (1) 7 m/s R (2) 5 2 m/s R (2) 5 2 m/s 4m 4m 1.65 m (3) 6 2 m/s 1.65 m (3) 6 2 m/s Q (4) 6 m/s Q (4) 6 m/s 24. In a hydroelectric power plant more electrical 24.  power can be generated if water falls from a  greater height because (1)  (1) its temperature increases (2)  (2) larger amount of potential energy is  converted into kinetic energy (3)  (3) the electricity content of water increases with height  (4) more water molecules dissociate into ions (4)  5/19 Sample questions for ASAT : Nurture Course 25. The weight of an object in the coal mine, sea 25.          level, at the top of the mountain are W1, W2 & W1, W2  W3   W3 respectively, then :-  (1) W1  W2  W3 (2) W1  W2  W3 (1) W1  W2  W3 (2) W1  W2  W3 (3) W1  W2  W3 (4) W1  W2  W3 (3) W1  W2  W3 (4) W1  W2  W3 26. The incorrect statement regarding the lines of 26.  B  force of the magnetic field B is  (1) Magnetic intensity is a measure of lines of (1)        force passing through unit area held normal       to it (2)       (2) Magnetic lines of force form a close curve  (3) Inside a magnet, its magnetic lines of force move from north pole of a magnet towards (3)  its south pole  (4) Due to a magnet, magnetic lines of force (4)  never cut each other  27. In the arrangement shown in Figure there are 27.  two coils wound on a non-conducting  cylindrical rod. Initially the key is not inserted.  Then the key is inserted and later removed.  Then (1)  (1) the deflection in the galvanometer remains (2)  zero throughout  (2) there is a momentary deflection in the  galvanometer but it dies out shortly and (3)  there is no effect when the key is removed (3) there are momentary galvanometer  deflections that die out shortly; the  deflections are in the same direction (4)  (4) there are momentary galvanometer  deflections that die out shortly; the  deflections are in opposite directions 6/19  Sample questions for ASAT : Nurture Course 28. A girl stands on a box having 60 cm length, 28. 60 cm  40 cm breadth and 20 cm width in three ways. 40 cm  20 cm  In which of the following cases, pressure  exerted by the block on the ground will be (1)  (1) maximum when length and breadth form  the base (2)  (2) maximum when breadth and width form the  base (3)  (3) maximum when width and length form the base  (4) the same in all the above three cases (4)  29. The magnetic compass is not useful for 29.  navigation near the magnetic poles because  (1) The magnetic field near the poles is zero (1)  (2) The magnetic field near the poles is almost (2)  vertical (3) At low temperature, the compass needle (3)  looses its magnetic properties  (4) Neither of the above (4)  30. An electric kettle consumes 1 kW of electric 30.  220 V  1 kW  power when operated at 220 V. A fuse wire of  what rating must be used for it?  (1) 1 A (2) 2 A (3) 4 A (4) 5 A (1) 1 A (2) 2 A (3) 4 A (4) 5 A 31. Demagnetisation of magnets can be done by 31.  (1) Rough handling (1)  (2) Heating (2)  (3) Magnetising in the opposite direction (3)  (4) All the above (4)  32. An electric lamp uses energy at the rate of 32. 12 V  48 W 48 W on a 12 V supply. 2   How much charge passes through the lamp in  2.0 seconds ? (1) 4 amperes (2) 8 amperes (1) 4 amperes (2) 8 amperes (3) 48 coulombs (4) 8 coulombs (3) 48 coulombs (4) 8 coulombs 33. In a conducting wire current is flowing from 33.  north to south. A positive charge is moving in  upward direction is above the wire. Charge will        deviated in the direction :-  (1) North (2) South (1)  (2)  (3) East (4) West (3)  (4)  7/19 Sample questions for ASAT : Nurture Course 34. A planet revolves around the sun in elliptical 34.  orbit as shown. It is known that product of mass  (m), (v)  of planet (m), its velocity (v) & distance from (r)  A  B  sun (r) is same for position A & B mv1r1 = mv2r2  [i.e. mv1r1 = mv2r2]. A scientist decided to find  v1, v2, r1  r2  the mass of planet and thus measures i.e. v1 ,        ?  v 2 , r 1 & r 2. What is the mass of planet ? (   8 : r 1 = 10 km, r 2 = 1.5 × 10 km, 8 (Given : r 1 = 10 8 km, r 2 = 1.5 × 10 8 km, v1 = 2.25 m/s & v2 = 1.5 m s) v1 = 2.25 m/s & v2 = 1.5 m/s) v2 v2 sun sun B r1 r2 Planet B r1 r2 Planet v1 A v1 A (1) 6 × 1024 kg (1) 6 × 1024 kg (2) 2.25 × 1016 kg (2) 2.25 × 1016 kg (3) 1.5 × 1016 kg (3) 1.5 × 1016 kg (4) Cannot be determined from the given data (4)  35. The device used for producing electric current 35.    is called a :-   (1)  (1) generator (2)  (2) galvanometer (3)  (3) ammeter (4) motor (4)  36. A child is standing in front of a magic mirror. 36.  She finds the image of her head bigger, the  middle portion of her body of the same size and  that of the legs smaller. The following is the  order of combinations for the magic mirror from the top. (1)  (1) Plane, convex and concave (2)  (2) Convex, concave and plane (3)  (3) Concave, plane and convex (4) Convex, plane and concave (4)  37. You are given water, mustard oil, glycerine and 37.  kerosene. In which of these media a ray of light           incident obliquely at same angle would bend         the most ?  ? (1) Kerosene (2) Water (1)  (2)  (3) Mustard oil (4) Glycerine (3)  (4)  8/19  Sample questions for ASAT : Nurture Course 38. Myopia is due to 38.  (1) Elongation of eye ball (1)  (2) Irregular change in focal length (2)  (3) Shortening of eye ball (3)  (4) Older age (4)  39. Choose the incorrect statement 39.  (1) Fleming's right-hand rule is a simple rule (1)  to know the direction of induced current  (2) The right-hand thumb rule is used to find the direction of magnetic fields due to (2)  current carrying conductors  (3) The difference between the direct and  alternating currents is that the direct current (3)  always flows in one direction, whereas the  alternating current reverses its direction  periodically (4) In India the AC changes direction after (4)  (1/50)  every (1/50) second.  40. A moving charge will gain kinetic energy due 40.  to the application of :- (1)  (1) Electric field (2)  (2) Magnetic field (3)  (3) Both of these (4)  (4) None of these SECTION-B : CHEMISTRY This section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct.  20  (1), (2), (3)   (4)    41. Calcium phosphate is present in tooth enamel. 41.  Its nature is  (1) Acidic (2) Basic (1)  (2)  (3) Neutral (4) Amphoteric (3)  (4)  42. The electronic distribution in aluminium will be 42.  (1) 2, 8, 1 (2) 2, 8, 3 (1) 2, 8, 1 (2) 2, 8, 3 (3) 2, 8, 5 (4) 2, 8, 2 (3) 2, 8, 5 (4) 2, 8, 2 43. Avogadro's number represents the number, of 43.  atoms in-  (1) 12 g of C12 (1) 12 g C12 (2) 320g of sulphur (2) 320 g  (3) 32g of oxygen (3) 32 g  (4) 12.7 g of iodine (4) 12.7 g  9/19 Sample questions for ASAT : Nurture Course 44. Acetic acid was added to a solid X kept in a 44.  X  test tube. A colourless and odourless gas was  evolved. The gas was passed through lime  water which turned milky. It was concluded       that  (1) solid X is sodium hydroxide and the gas (1) X,  evolved is CO 2. CO2  (2) solid X is sodium bicarbonate and the gas (2) X,  evolved is CO 2. CO2  (3) solid X is sodium acetate and the gas (3) X,  CO2 evolved is CO 2.  (4) solid X is sodium chloride and the gas (4) X,  CO2 evolved is CO 2.  45. Correct statement among the following. 45.  (1) Homologous have same chemical & (1)    physical properties.  (2) Homologous have same general formula & (2)  physical properties. (3)        (3) Homologous have different chemical properties with different general formula.  (4) Homologous have same chemical (4) properties with same general formula.  46. Which of the following metal does not react 46.   with either cold or hot water?  (1) Mg (2) Ca (1) Mg (2) Ca (3) Na (4) Fe (3) Na (4) Fe 47. Which condition out of the following will 47.          increase the evaporation of water?  (1) Increase in temperature of water (1)  (2) Decrease in temperature of water (2)  (3) Less exposed surface area of water (3)  (4) Adding common salt to water (4)  48. Which of the following element is a member 48.  of third period? (1) K (2) Ca (1) K (2) Ca (3) Ar (4) Sc (3) Ar (4) Sc 49. For reaction N2(g) + 3H2(g)  2NH3(g) 49. 2NH3(g)  N2(g) + 3H2(g)  6 moles of H2 is taken with excess of N2 gas. N2  6  H2  Mass of ammonia gas produced is  (1) 51 gm (2) 34 gm (1) 51 gm (2) 34 gm (3) 17 gm (4) 68 gm (3) 17 gm (4) 68 gm 10/19  Sample questions for ASAT : Nurture Course 50. Galvanisation is a method of protecting iron 50.  from rusting by coating with a thin layer of  (1) Gallium (2) Aluminium (1)  (2)  (3) Zinc (4) Silver (3)  (4)  51. The second next atom in the period to the 51.  element essential constituent of all organic  (second next compound belongs to group number atom) (1) 14 (2) 4 (1) 14 (2) 4 (3) 16 (4) 12 (3) 16 (4) 12 52. Elements with valency 1 will be - 52.  1  (1) Always metal (1)  (2) Either metal or metalloid (2)  (3) Always metalloid (3)  (4) May be metal or non-metal (4)  53. The first model of an atom was given by 53.  (1) Rutherford (2) E.Goldstein (1)  (2) E. (3) N.Bohr (4) J.J. thomson (3) N. (4) J.J.  54. In the reaction H2 + Cl2  2HCl 54. H2 + Cl2  2HCl  (1) Hydrogen undergoes oxidation (1)  (2) Chlorine undergoes oxidation (2)  (3) Hydrogen act as oxidising agent (3)  (4) Chlorine act as reducing agent (4)  55. Which of the given elements A, B, C, D and E 55.  A, B, C, D  E  with atomic number 2, 3, 7, 10 and 30 2, 3, 7, 10  30  respectively belongs to the same period -  (1) A,B,C (2) A,D,E (1) A,B,C (2) A,D,E (3) B,D,E (4) B,C,D (3) B,D,E (4) B,C,D 56. An atom with 3 protons and 4 neutrons will 56.  3  4  have a valency of -  (1) 3 (2) 7 (3) 1 (4) 4 (1) 3 (2) 7 (3) 1 (4) 4 57. The following reaction : 57.  4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) is an example of -  (1) Displacement reaction (1)  (2) Neutralisation reaction (2)  (3) Redox reaction (3)  (4) Both (2) & (3) (4) (2)  (3)  58. Which of the following is a double 58.      displacement reaction -  (1) Pb + CuCl2 PbCl2 + Cu (1) Pb + CuCl2 PbCl2 + Cu (2) C + O2 CO2 (2) C + O2 CO2 (3) CH4 + O2 CO2 + 2H2O (3) CH4 + O2 CO2 + 2H2O (4) Na2SO4 + BaCl2 2NaCl + BaSO4 (4) Na2SO4 + BaCl2 2NaCl + BaSO4 11/19 Sample questions for ASAT : Nurture Course 59. An aqueous solution turns red litmus solution 59.  blue. Excess addition of which of the following  solution would reverse the change -  (1) quick lime (1)  (2) ammonium hydroxide solution (2)  (3) hydrochloric acid (3)  (4) baking powder (4)  60. Conversion of sulphide ore into oxide ore on 60.  heating in presence of excess of air is  : called : (1)  (1) Calcination (2)  (2) Roasting (3)  (pulverization) (3) Pulverization (4)  (4) Froth floatation Attempt any one of the section C or D Section C or D  section SECTION-C : MATHEMATICS FOR ADMISSION IN ENGINEERING STREAM (   This section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct.  20  (1), (2), (3)   (4)    61. The present ratio of ages of P & Q is 4 : 6. If 61. P  Q  4 : 6  P  the sum of present ages of P & Q is 50 years, Q  50  4  P then the sum of ages of P & Q before 4 years is  Q  - (1) 52 years (2) 50 years (1) 52  (2) 50  (3) 42 years (4) 26 years (3) 42  (4) 26  cos70 cos59 cos70 cos59 62.  – 8 sin2 30°  62.  – 8 sin2 30° is equal to sin 20 sin 31 sin 20 sin 31 (1) 1 (2) –1 (1) 1 (2) –1 (3) 0 (4) 2 (3) 0 (4) 2 63. A boat goes 30 km upstream and 44 km 63. 10  30 km  downstream in 10 hours. In 13 hour it can go  44 km  13  40 km upstream and 55 km downstream. If 40 km  55 km  speed of the boat in still water is x km/hr and  x km/hr  speed of stream be y km/hr, then - y km/hr  (1) x = 8 (2) y = 4 (1) x = 8 (2) y = 4 (3) x = 3 (4) y = 8 (3) x = 3 (4) y = 8 12/19  Sample questions for ASAT : Nurture Course 64. The number of equations of the form 64. ax2 + bx + 2 = 0  ax2 + bx + 2 = 0 that can be formed if the equation  (a > 2, b < 6  a b have real roots (a > 2, b < 6 and a and b are  positive integers) is/are- (1) 2 (2) 4 (1) 2 (2) 4 (3) 6 (4) infinite (3) 6 (4)  65. If the sum of squares of LCM & HCF of two 65.  positive numbers is 3609 and their LCM is 57  3609     more than their HCF, then the product of two 57  number's is -  - (1) 360 (2) 609 (3) 180 (4) 810 (1) 360 (2) 609 (3) 180 (4) 810 66. Let ABC and DEF are similar triangles and 66.  ABC  DEF  2 their areas be respectively 64 cm and 121 cm. 2  64 2  121 2 If EF = 15.4 cm, then BC is equal to - EF = 15.4  BC  - (1) 11.4 cm (2) 11.2 cm (1) 11.4  (2) 11.2  (3) 11 cm (4) 11.3 cm (3) 11  (4) 11.3  67. A number when divided by a divisor leaves a 67.  remainder of 24, when twice the original 24  number is divided by the same divisor the     11     remainder is 11, then divisor is -  - (1) 13 (2) 59 (1) 13 (2) 59 (3) 35 (4) 37 (3) 35 (4) 37 68. If the diameter of a sphere is decreased by 25%, 68.      25%      then by what percent its curved area would        decrease ?  (1) 43.75% (2) 50% (1) 43.75% (2) 50% (3) 37% (4) none of these (3) 37% (4)  69. The perimeter of a triangular field is 240 m its 69. 240     two sides are 78 m and 50 m, then area of  78  50  triangular field is  (1) 1650.2 m2 (2) 1662 m2 (1) 1650.2 m2 (2) 1662 m2 (3) 1680 m2 (4) 1672 m2 (3) 1680 m2 (4) 1672 m2 13/19 Sample questions for ASAT : Nurture Course 70. The radius and the slant height of a cone are in 70.  4 : 7  the ratio of 4 : 7. If its curved area is 792 cm2,  792 cm2  then its radius will be -  - (1) 9 cm (2) 6 cm (1) 9 cm (2) 6 cm (3) 12 cm (4) 15 cm (3) 12 cm (4) 15 cm 71. If (x 2 + x + 1) is divided by (x – 5), then 71. (x2 + x + 1)  (x – 5)  remainder is -  - (1) 0 (2) 31 (1) 0 (2) 31 (3) –31 (4) 33 (3) –31 (4) 33 72. Value of 'n' for which nth terms of two A.P.'s 72. 'n'  63, 65, 67 63, 65, 67...... and 3, 10, 17,.... are equal......  3, 10, 17,.... n (1) 14 (2) 15 (3) 13 (4) 12 (1) 14 (2) 15 (3) 13 (4) 12 73. When the polynomial P(x) = x3 + 3x2 – 2Ax + 3, 73. P(x) = x3 + 3x2 – 2Ax + 3,  A where A is constant, is divided by x2 + 1 and x2 + 1      –5x   A remainder is –5x, then A is  (1) –3 (2) –2 (1) –3 (2) –2 (3) 2 (4) 3 (3) 2 (4) 3 74. If one root of quadratic equation 2x2 – px + q = 0 74.  2x2 – px + q = 0  p is 2  3 (p,q  rational numbers), then p is 2  3 (p,q   )    q q  - equal to- (1) 2 (2) 3 (3) 4 (4) 8 (1) 2 (2) 3 (3) 4 (4) 8 75. If sin + cosec = 2, then the value of 75. sin + cosec = 2 sin2016 + cosec2016 sin2016 + cosec2016, is -  - (1) 1 (2) 2016 (3) 2 (4) 4032 (1) 1 (2) 2016 (3) 2 (4) 4032 76. Median of a group of 20 distinct numbers was 76. 20  55 found to be 55. If largest 8 numbers are 8  10 increased by 10, then median of the new group,  - is- (1) 55 (1) 55 (2) 65 (2) 65 (3) 55.5 (3) 55.5 (4) can't be determined (4)  14/19  Sample questions for ASAT : Nurture Course 77. If parallelogram ABCD and rectangle ABEM 77.    ABCD   ABEM  are of equal area, then  M D E M D E C C A B A B (1) Perimeter of ABCD = perimeter of ABEM (1) ABCD = ABEM  (2) Perimeter of ABCD < perimeter of ABEM (2) ABCD < ABEM  (3) Perimeter of ABCD > perimeter of ABEM (3) ABCD > ABEM  1 (4) Perimeter of ABCD = perimeter of ABEM 1 2 (4) ABCD = ABEM   2 78. If a pair of linear equations is consistent, then 78.  lines will be (1)   (1) parallel (2)  (2) always coincident (3)  (3) intersecting or coincident (4) always intersecting (4)  79. A bag contains 5 black & 6 white balls. If two 79.   5   6     balls are drawn together at random, then the         probability that these being of different colour-     -   5 6 5 6 (1) (2) (1) (2) 11 11 11 11 11 6 11 6 (3) (4) (3) (4) 16 16 16 16 80. If tan   sec    , then sec is equal to 80.  tan   sec     sec  2 2  1 2 2  1 (1) 2 (2) (1) 2 (2)  1 2  1 2 2  1 2 2  1 2 (3) (4) 2 (3) (4) 2  1 2  12 15/19 Sample questions for ASAT : Nurture Course SECTION-D : BIOLOGY FOR ADMISSION IN MEDICAL STREAM (?