14
IMPORTANT INSTRUCTIONS A. General: 1. This booklet is your Question Paper. 2. The Question paper, (IQ), consists 30 Single Choice Question. Each Question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 3. Blank spaces and blank pages are provided in this booklet for your rough work. No additional sheets will be provided for rough work. 4. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets are NOT allowed inside the examination hall. 5. The answer sheet, a machine-readable Optical Response Sheet (ORS) is provided separately B. Filling in the OMR 6. On the OMR, write in ink your Name, Enrollment No., Examination date and put your signature in the appropriate boxes. 7. On the OMR, for Each Question number, darken ONLY Right bubble with Blue/ Black ball point pen only corresponding to what you consider to be the most appropriate answer, from among the choices. C. Marking Scheme 8. (i) For each question you will be awarded 3 marks if you have darkened correct bubble corresponding to the right answer. (ii) In case you have not darkened any bubble you will be awarded 0 mark for that question. (iii) Negative mark : –1 marks is given for each incorrect answer. Name of the Candidate : Enrolment Number : (Invigilator’s Signature) (Candidate’s Signature) IPEC SCHOLASTIC APTITUDE TEST 2020 (IPEC Scholarship-Cum-Admission Test) For [ CLASS - XI ] (For XI to XII Moving Students) Time : 1 Hours] [F. M. : 90 IQ PAPER-I/SET-A R

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Page 1: (IPEC Scholarship-Cum-Admission Test) For [ CLASS - XI ] (For XI …exam.ipeciit.com/Uploads/ISAT SAMPLE PAPER CLASS-XI_For... · 2020. 1. 23. · R PAPER-I/SET-A. M5, CITY CENTRE

IMPORTANT INSTRUCTIONS

A. General:1. This booklet is your Question Paper.2. The Question paper, (IQ), consists 30 Single Choice Question. Each Question has four choices

(A), (B), (C) and (D) out of which ONLY ONE is correct.3. Blank spaces and blank pages are provided in this booklet for your rough work. No additional sheets

will be provided for rough work.4. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronic

gadgets are NOT allowed inside the examination hall.5. The answer sheet, a machine-readable Optical Response Sheet (ORS) is provided separately

B. Filling in the OMR

6. On the OMR, write in ink your Name, Enrollment No., Examination date and put your signature in theappropriate boxes.

7. On the OMR, for Each Question number, darken ONLY Right bubble with Blue/ Black ball pointpen only corresponding to what you consider to be the most appropriate answer, from among thechoices.

C. Marking Scheme

8. (i) For each question you will be awarded 3 marks if you have darkened correct bubble correspondingto the right answer.

(ii) In case you have not darkened any bubble you will be awarded 0 mark for that question.(iii) Negative mark : –1 marks is given for each incorrect answer.

Name of the Candidate :

Enrolment Number :

(Invigilator’s Signature) (Candidate’s Signature)

IPEC SCHOLASTIC APTITUDE TEST 2020(IPEC Scholarship-Cum-Admission Test)

For[ CLASS - XI ]

(For XI to XII Moving Students)

Time : 1 Hours] [F. M. : 90

IQPAPER-I/SET-AR

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M5, CITY CENTRE , NEAR - JAI JAWAN PETROL PUMP , B S CITY,Contact No. 9263636343

C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [IQ] [3]

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PART-I [IQ][ONLY ONE IS CORRECT TYPE]

This Part contains 30 Single choice questions. Each question has four choices(A), (B), (C) and (D) out ofwhich Only one is correct.

Direction (Question 1) : In the following question, a number series is given with one termmissing. Choose the correct alternative that will continue the same pattern and replace thequestion mark in the given series.

1. 1, 2, 3, 6, 9, 18, ? , 54(A) 18 (B) 27 (C) 36 (D) 81Direction (Question 2) : In the following question, one term in the number series is wrong.Find out the wrong term.

2. 2,6,24,96, 285,568, 567(A) 6 (B) 24 (C) 285 (D) 567Direction (Question 3) : In each of the following letter series, some of the letters are missingwhich are given in that order as one of the alternatives below it. Choose the correct alternative.

3. ccbab ___ caa ___ bccc ___ a ___(A) babb (B) bbba (C) baab (D) babcDirection (Question 4 ) : There is a certain relation between two given words on one side of :: and one word is given on another side of : : while another word is to be found from the givenalternatives, having the same relation with this word as the given pair has, select the bestalternative.

4. Dettal : Antiseptic : : Phenyl : ?(A) Deodorant (B) Preservative (C) Antidote (D) Detergent

5. Dwell is related to Denizen in the same way as Lung is related to ____(A) Acquire (B) Successor (C) Outcast (D) Heir

6. In a certain code, VISHWANATHAN is written as NAAWTHHSANIV. How is KARUNAKARANAwritten in that code ?(A) AKNUARRANKA (B) KAANRAURNAAK(C) NKKRANKRAUK (D) RURNKAAUNAK

7. Introducing a man to her husband, a woman said, “ His brother’s father is the only son of mygrandfather, “ How is the woman related to this man ?(A) Mother (B) Aunt (C) Sister (D) Daughter

8. A square field ABCD of side 90m is so located that its diagonal AC is from north to south andthe corner B is to the west of D. Rohan and rahul start walking along the sides from B and Crespectively in the clockwise and anti-clockwise directions with speeds of 8km/hr and 10 km/hr.where shall they cross each other the second time ?(A) On AD at a distance of 30m from A (B) On BC at a distance of 10m from B(C) On AD at a distance of 30m from D (D) On BC at a distance of 10m from CDirections (Question 9): In each of the following letter series, some of the letters are missing

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [IQ] [4]

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which are given in that order as one of the alternatives below it. Choose the correct alternative.9. ab ___ bcbca ___ ___ c ___ bab

(A) acbc (B) baaa (C) abcc (D) ccaaDirections (Question 10) : Each of the following questions consists of two sets of figures,figures a,b,c and d constitue the problem set while figures,A,B,C & D constitute the answer set.There is a definite relationship between figures, A and E. Establish a similar relationship be-tween figures c and d by selecting a suitable figure from the answer set that would replace thequestion mark (?) in fig. (d).

10. Problem figures Answer figures

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

Direction (Question 11): In the following question, a number series is given with one termmissing. Choose the correct alternative that will continue the same pattern and replace thequestion mark in the given series.

11 6, 17, 39, 72, ?(A) 83 (B) 94 (C) 116 (D) 127Direction (Question 12) : In the following questions, one term in the number series is wrong.Find out the wrong term.

12 6, 15, 35, 77, 165, 221(A) 35 (B) 77 (C) 165 (D) 221Direction (Question 13): In the following letter series, some of the letters are missing whichare given in that order as one of the alternatives below it. Choose the correct alternative.

13 ab ___ bcbca ___ ___ c ___ bab(A) acbc (B) baaa (C) abcc (D) ccaaDirection (Question 14): There is a certain relation between two given words on one side of :: and one word is given on another side : : while another word is to be found from the givenalternatives, having the same relation with this word as the given pair has. Select the bestalternative?

14 Reluctant : Keen : : Remarkable :?(A) Usual (B) Restrained (C) Striking (D) EvocativeDirection (Question 15): In each of the following questions, four words have been given out ofwhich three are alike in same manner, while the fourth one is different. Choose out the odd one.

15 (A) Ode (B) Epic (C) Sonnet (D) Limerick16 If DIAMOND is coded as VQYMKLV, how is FEMALE coded ?

(A) TUMYNU (B) UVNZOV (C) UVNYNV (C) TVNYNV17 If GLARE is coded as 67810 and MONSOON is coded as 2395339, then how can RANSOM be

coded?(A) 183952 (B) 189352 (C) 189532 (D) 198532

18 Pointing to the woman in the picture, Rajiv said, “ Her mother has only one grandchild whose

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mother is my wife. “ How is the woman in the picture related to Rajiv?(A) Cousin (B) Wife (C) Sister (D) Data inadequateDirections (question 19 to 22) Read the information given below and answer the questionsthat follow:A, B, C, D and E are five towns out of which two are hill stations and the rest are in plains. Twotowns, which are in plain, are harbours. Four towns out of five are capitals and two are industrialtowns. Population of two towns is less than 5 lacs. It is 20 lacs of one town and more than 50lacs of two towns. Two towns are on the same latitudes and other two are on the same longi-tudes. Latitudes and longitudes of both harbours are different and out of these one is an idustrialtown. The popultion of both industrial towns is more than 50 lacs. The longitudes of one hillstation and one of the industrial towns are same. The latitudes and longitudes of the other hillstation and other harbour are different. One industrial town is neither a hill station nor a harbour.None of the hill stations is an industrial town. The hill station, of which longitudes are same asthat of a harbour, is a capital. B is a hill station while the longitudes of A and E are same. E is aharbour. The latitudes of D and C are same and the population of D is 20 lacs. Both the harboursare capitals and one of them is an industrial town.

19 Which of the following two towns are those whose population is less than 5 lacs ?(A) D and A (B) B and C (C) A and B (D) A and C

20 Which of the following towns is not a capital ?(A) A (B) C (C) B (D) E

21 Which of the following is harbour, capital and industrial town ?(A) A (B) B (C) C (D) E

22 Which of the following towns have population more than 50 lacs?(A) A and D (B) B and E (C) C and E (D) C and D

23 One evening before sunset two friends Sumit and Mohit were talking to each other face to face.If Mohit’s shadow was exactly to his right side, which direction was sumit facing?(A) North (B) South (C) west (D) Data inadequate

24 If implies =, × implies < , + implies >, – implies ×, > implies , < implies +, = implise –,identify the correct expression.(A) 1 3 2 1 5 3 1 2 (B) 1 3 2 1 5 3 1 2 (C) 1 3 2 1 5 3 1 2 (D) 1 3 2 1 5 3 1 2

25 Consider the adjoining diagram :What is the minimum number of different colours required to paintthe figure given above such that no two adjacent have the same colour?(A) 3 (B) 4(C) 5 (D) 6Direction (Question 26): In the following problems a square transparent sheet with a pattern

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [IQ] [6]

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is given. figure out from amongest the four alternative as to how the pattern woud appear whenthe transparent sheet is folded at the dotted line.Transparent Sheet Response Figures.

26.

(A) (B) (C) (D)Direction (Question 27) : In each of the following questions, there are four figures marked I,II,IIIand IV which constitute the problem set and five figures, marked A,B,C,D and E, Each furtherconsisting of two figures marked I and IV which constitute the answer set. Select a figure fromthe answer set, the contents of which may best substitute the question marks in problem setsuch that fig. III is related to fig. IV in the same way as fig. I is related to fig. II.

27. Problem figures Answer figures

Directions (question 28 to 30) Read the information given below and answer the questionsthat follow:A,B,C,D and E are five towns out of which two are hill stations and the rest are in plains. Twotowns, which are in plain, are harbours. Four towns out of five are capitals and two are industrialtowns. Population of two towns is less than 5 lacs. It is 20 lacs of one town and more than 50lacs of two towns. Two towns are on the same latitudes and other two are on the same longi-tudes. Latitudes and longitudes of both harbours are different and out of these one is an idustrialtown. The popultion of both industrial towns is more than 50 lacs. The longitudes of one hillstation and one of the industrial towns are same. The latitudes and longitudes of the other hillstation and other harbour are different. One industrial town is neither a hill station nor a harbour.None of the hill stations is an industrial town. The hill station, of which longitudes are same asthat of a harbour, is a capital. B is a hill station while the longitudes of A and E are same. E is aharbour. The latitudes of D and C are same and the population of D is 20 lacs. Both the harboursare capitals and one of them is an industrial town.

28. Which of the following two towns are those whose population is less than 5 lacs ?(A) D and A (B) B and C (C) A and B (D) A and C

29. Which of the following towns is not a capital ?(A) A (B) C (C) B (D) E

30. Which of the following is harbour, capital and industrial town ?(A) A (B) B (C) C (D) E

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IMPORTANT INSTRUCTIONS

A. General:1. This booklet is your Question Paper.2. There are three parts in the Question paper, Part-I (Physics),Part-II (Chemistry),Part-III (Mathematics).Each

part consists 15 Single Choice Question. Each Question has four choices (A), (B), (C) and (D) out of whichONLY ONE is correct.

3. Blank spaces and blank pages are provided in this booklet for your rough work. No additional sheets will beprovided for rough work.

4. Blank papers, clipboards, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets areNOT allowed inside the examination hall.

5. The answer sheet, a machine-readable Optical Response Sheet (ORS) is provided separately

B. Filling in the OMR

6. On the OMR, write in ink your Name, Enrollment No., Examination date and put your signature in the appropriateboxes.

7. On the OMR, for Each Question number, darken ONLY Right bubble with Blue/ Black ball point pen onlycorresponding to what you consider to be the most appropriate answer, from among the choices.

C. Marking Scheme

8. (i) For each question you will be awarded 3 marks if you have darkened correct bubble corresponding to theright answer.

(ii) In case you have not darkened any bubble you will be awarded 0 mark for that question.(iii) Negative mark : –1 marks is given for each incorrect answer.

Name of the Candidate :

Enrolment Number :

(Invigilator’s Signature) (Candidate’s Signature)

IPEC SCHOLASTIC APTITUDE TEST 2020(IPEC Scholarship-Cum-Admission Test)

For[ CLASS - XI ]

(For XI to XII Moving Students)

Time : 2 Hours] [F. M. : 135

PCMPAPER-II/SET-AR

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M5, CITY CENTRE , NEAR - JAI JAWAN PETROL PUMP , B S CITY,Contact No. 9263636343

C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [PCM] [3]

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PART-I [PHYSICS][ONLY ONE IS CORRECT TYPE]

This Part contains 15 Single choice questions. Each question has four choices(A), (B), (C) and (D) out ofwhich Only one is correct.

31. The retardation of a particle moving in a straight line is proportional to its displacement(proportionality constant being unity). Initial velocity of the particle is v0. Find the totaldisplacement of the particle till it comes to rest.

(A) 0v2

(B) v0 (C) 0v3

(D) 02v

432. Two blocks A and B of equal masses m are suspended with ideal pulley

A m

B m

and string arrangement as shown. The acceleration of mass B is

(A) g3 (B)

5g3

(C) 2g3 (D)

2g5

33. With what minimum speed v must a small ball should be pushed inside a smooth vertical tubefrom a height h so that it may reach the top of the tube? Radius of the tube is R. (Assume radiusof cross-section of tube is negligible in comparison to R)

R h v

(A) 2g(h 2R) (B) 5 R2

(C) g(5R 2h) (D) 2g(2R h)

34. An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attachedto its lower end. The mass is released with the spring initially unstretched. Then the maximumextension in the spring is

(A) 4Mg

k (B) 2Mg

k (C) Mgk (D)

Mg2k

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35. A particle of mass m moving eastward with a speed v collides with another particle of same massmoving northward with same speed v. The two particles stock on collision. The new particle ofmass 2m will move in the north-east direction with a velocity of

(A) v 2 (B) v2

(C) v2 (D) v

36. Two particles one of mass m and the other of mass 2m are projected 2m m

60m

A B

horizontally towards each other from the same level above the groundwith velocities 10 m/s and 5 m/s respectively. They collide in air andstick to each other. The distance from A, where the combined massfinally land is(A) 40 m (B) 20m(C) 30 m (D) 45m

37. A hoop rolls on a horizontal ground without slipping with linear speed v.

Speed of a particle P on the circumference of the hoop at angle is

(A) 2sin2 v (B) sinv (C)

2cos2 v (D) cosv

P

v

38. A cylindrical vessel contains a liquid of density upto a height h. The

v

m, A h

liquid is closed by a piston of mass m and area of cross-section A.There is a small hole at the bottom of the vessel. The speed v withwhich the liquid comes out of the hole is: (neglect presence ofatmosphere)

(A) 2gh (B) mg2 gh

A

(C)

mg2 ghA

(D) mg2ghA

39. Find the natural frequency of the system as shown in figure.

m

k The pulleys are massless and frictionless

(A) 2 k

m (B)

1 k2 m

(C) 4 k

m (D)

8 km

Page 9: (IPEC Scholarship-Cum-Admission Test) For [ CLASS - XI ] (For XI …exam.ipeciit.com/Uploads/ISAT SAMPLE PAPER CLASS-XI_For... · 2020. 1. 23. · R PAPER-I/SET-A. M5, CITY CENTRE

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40. In the given figure, string, spring and pulleys are massless. Block

3m B m A

A, performing SHM of amplitude 1 m and time period 2/ sec. Ifblock B remains at rest, then minimum value of co-efficient offriction between block B and surface will be (g = 10 m/s2)

(A) 12 (B)

1315 (C)

23 (D)

45

41. A thin circular ring of mass M and radius R is rotating about its axis with a constant angularvelocity . Two objects, each of mass m, are attached gently to the opposite ends of a diameterof the ring. The ring rotates now with an angular velocity

(A) M

M m

(B) (M 2m)M 2m

(C) M

M 2m

(D) (M m)

M

42. Two particle of equals mass have velocities iv ˆ21

m/s and jv ˆ22

m/s. First particle has an

acceleration 21ˆ3ˆ3

smjia

while the acceleration of the other particle is zero. The center of

mass of the two particles moves in a(A) circle (B) parabola (C) straight line (D) ellipse

43. A ring of radius R is first rotated with an angular velocity 0 and then gently placed horizontallyon a rough horizontal surface. The coefficient of friction between the surface and the ring is .Time after which its angular speed will become zero is

(A) 0Rg

(B)

0R2 g (C)

02 Rg

(D)

0Rg

44. A uniform sphere of mass 20 kg and radius 10 cm is placed on a 280Nrough horizontal surface. The coefficient of friction between the

sphere and the surface is 0.5. A horizontal force of magnitude280 N is applied on the sphere as shown. The friction force actingon the sphere will be (g = 10 ms–2)(A) 80 N (B) 100 N (C) 120 N (D) zero

45. The moment of inertia of a circular ring of radius R and mass M about a tangent in its plane is

(A) MR2 (B) 2

21 MR (C)

2

23 MR (D) 2MR2

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [PCM] [6]

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PART-II [CHEMISTRY][ONLY ONE IS CORRECT TYPE]

This Part contains 15 Single choice questions. Each question has four choices(A), (B), (C) and (D) out ofwhich Only one is correct.

46. How many grams of NaOH will be required to neutralize 12.2 gram of benzoic acid?(A) 16 g (B) 4 g (C) 40 g (D) 12.2 g

47. A bottle of dry NH3 and bottle of dry HCl connected through a long cylindrical tube are openedsimultaneously at both ends, the white (NH4Cl) ring first formed will be:(A) at the centre of the tube (B) near the HCl bottle(C) near the ammonia bottle (D) throughout the length of the tube

48. At low pressure, van der Waals’ equation is reduced to 2

aP + V = RTV

. The compressibility

factor can be given as:

(A) a1

RTV (B)

RTV1 a

(C) a1

RTV (D)

RTV1 a

49. The uncertainty in momentum of an electron is 1 × 10–5 kg ms–1. The uncertainty in its positionwill be(h = 6.626 × 10–34 kg m2s–1)(A) 5.27 × 10–30 m (B) 1.05 × 10–26 m (C) 1.05 × 10–29 m (D) 5.27 × 10–28 m

50. The correct order of increasingC—O bond lengths inCO, CO3

–2, CO2 is:(A) CO3

–2 < CO2 < CO (B) CO2 < CO3–2 < CO

(C) CO < CO2 < CO3–2 (D) CO2 < CO < CO3

–2

51. Which of the following compounds has the highest boiling point?

(A) HCl (B) HBr (C) H2SO4 (D) 3HNO

52. Heat of neutralization of oxalic acid with NaOH is – 106.7 kJ mol–1. What is H of the followingreaction?

22 2 4 2 4H C O C O 2H

(A) 5.88 kJ (B) –5.88 Kj (C) –8.3 kJ (D) 8.3kJ

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [PCM] [7]

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53. For the reaction ,N2 + 3 H2 2 NH3 at 500° C, the value of KP is 1.44×10–5. What will be the value of KP at lowpressure where the gases are behaving almost ideally?(A) 1.44 × 10–5 (B) (0.082 × 773)2 ×1.44 × 10–5

(C) 1.44 × 10–5 × (0.082 × 500)2 (D) 1.44 × 10–5 × (0.082 × 773)3

54. If K1 and K2 are the respective equilibrium constants for the two reactions,

6 2 4XeF (g)+H O(g) XeOF (g)+2HF g

4 6 4 3 2XeO (g) + XeF (g) XeOF (g) + XeO F g

the equilibrium constant of the reaction, 4 3 2 2XeO (g) + 2HF(g) XeO F + H O g will be:

(A) 1

2

KK (B) K1×K2 (C)

12

2

KK (D)

2

1

KK

55. The pH value of decinormal solution of NH4OH which is 20% ionized is:(A) 12.95 (B) 12.30 (C) 14.70 (D) 13.30

56. Liquid ammonia ionises to a slight extent. At –50°C, its self ionisation constant,

NH3K = [NH4

+][NH2–] = 10–30.

How many amide ions are present per cm3 of pure liquid ammonia? Assume NA = 6 × 1023.(A) 6 × 106 ions (B) 6 × 105 ions (C) 6 × 10–5 ions (D) 6 × 10–6 ions

57. Oxidation number of two Cl atoms separately in CaOCl2 is:(A) –1 and +1 (B) +2 each (C) –2 each (D) 0 each

58. KMnO4 oxidizes oxalic acid in acidic medium. The number of CO2 molecules produced for twomolecules of KMnO4 is:(A) 3 (B) 8 (C) 10 (D) 6

59. Which of the following ion is the largest in size?(A) Cl– (B) S–2 (C) K+ (D) Ca+2

60. The radii of F, F–, O and O–2 are in the order:(A) F– > O–2 > F > O (B) O–2 > F– > F > O

(C) O –2 > F – > O > F (D) O–2 > O > F– > F

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [PCM] [8]

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sample paper

PART-III [MATHEMATICS][ONLY ONE IS CORRECT TYPE]

This Part contains 15 Single choice questions. Each question has four choices(A), (B), (C) and (D) out ofwhich Only one is correct.

61. Image of the point P (1,5) with respect to the line 4x + 3y + 6 = 0 is:

(A) 19 13,25 25

(B) 13 19,25 25

(C) 7, 1 (D) 191 113,25 25

62. OAB is an equilateral triangle where 10,0 , 1, .3

O A

The coordinate of point B can be

(A) 2 ,03

(B) 11,3

(C) 10,3

(D) 11,3

63. Consider the point A (3,4), B (7,13). If ‘P’ be a point on the line y x such that PA + PB isminimum, then coordinates of ‘P’ is

(A) 13 13,7 7

(B) 23 23,7 7

(C) 31 31,7 7

(D) 33 33,7 7

64. If 3 3log 2,log 2 5x and 3log 2 7 / 2x are in A.P. then the value of x is:

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

65. Two circles C1 and C2 intersect in such a way that their common chord is of maximum length.Center of C1 is (1, 2) and its radius is 3 units. Radius of C2 is 5 units. If slope of common chordis 3/4, then center of C2 can be

(A) 7 26,5 5

(B) 17 6,5 5

(C) 7 26,5 5

(D) 17 6,5 5

66. If two distinct chords of the circle x2 + y2 – 2x – 4y = 0 drawn from the P(a, b) gets bisected bythe y-axis, then

(A) (b + 2)2 > 4a (B) (b – 2)2 > 4a (C) (b – 2)2 > 2a (D) (b + 2)2 > 2a

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C-XI/SET-A IPEC SCHOLASTIC APTITUDE TEST [PCM] [9]

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67. The length of latus rectum of the parabola, whose focus is sin 2 , cos2a a and directrix isthe line y=a, is

(A) | 4a cos2 | (B) |4a sin2 | (C) |4a cos2 | (D) | a cos2 |

68. Vertex of the parabola whose parametric equation is x = t2 – t + 1, y = t2 + t +1; t R, is

(A) (1,1) (B) (2,2) (C) (1/2, 1/2) (D) (3,3)

69. The value of tan 40° + 2 tan 10° is equal to

(A) cot 50° (B) cot 40° (C)cot 10° (D) none of these

70. The value of

sin 55° – sin 19° + sin 53° – sin 17° is always equal to

(A) cos 1° (B) sin 1° (C) tan 1° (D) cot 1°

71. If | | 1z , then 11

zz

equals:

(A) z (B) z (C) 1z (D) None of these

72. If 2 2 22π 4πf θ =sin θ+sin θ+ +sin θ+3 3

then πf

15

is equal to

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

73. Minimum value of 2sin x + 2cos x is equal to

(A) 1 22 (B) 1 1/ 22 (C) 2 12 (D) none of these

74. Total number of solutions of tan x + cot x = 2 cosec x in [–2 , 2 ] is equal to

(A) 2 (B) 4 (C) 6 (D) 8

75. Least positive integral value of ‘x’ satisfying

(ex–2)(sinx–cosx)(x–ln2)(cosx–12 )<0 is:

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

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[PHYSICS]

31. (B)32. (D)33. (D)34. (B)35. (B)36. (A)37. (A)38. (B)39. (A)40. (B)41. (C)42. (C)43. (A)44. (A)45. (C)

[CHEMISTRY]

46. (B)47. (B)48. (A)49. (A)50. (C)51. (C)52. (D)53. (A)54. (D)55. (B)56. (B)57. (A)58. (C)59. (B)60. (C)

[MATHEMATICS]

61. (C)62. (D)63. (C)64. (B)65. (B)66. (B)67. (B)68. (A)69. (B)70. (A)71. (A)72. (B)73. (B)74. (B)75. (C)

IPEC SCHOLASTIC APTITUDE TEST 2020(IPEC Scholarship-Cum-Admission Test)

For[ CLASS - XI ]

(For XI to XII Moving Students)

Time : 3 Hours] [F. M. : 225

IQ+PCM

ANSWER KEY

[IQ]1. (B)

2. (B)

3. (A)

4. (A)

5. (D)

6. (B)

7. (C)

8. (D)

9. (D)

10. (C)

11 (C)

12 (C)

13 (D)

14 (A)

15 (B)

16 (A)

17 (C)

18 (B)

19 (C)

20 (C)

21 (D)

22 (C)

23 (B)

24 (D)

25 (A)

26. (A)

27. (D)

28. (C)

29. (C)

30. (D)

R

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