Wisdom Sample Test Paper 2016

Academic Session : 2016-17

SAMPLE TEST PAPERS(Resonance National Entrance Test: ResoNET - 2016)

For Yearlong Classroom Contact Programmes (YCCPs) : JEE(Main+Advanced)(For WISDOM Course only)

JNNSTP1617

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SAMPLE TEST PAPER (STP)TARGET : JEE (MAIN + ADVANCED) 2020

COURSE : WISDOM (JNN)(FOR CLASS-VIII TO CLASS-IX MOVING STUDENTS)

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All rights reserved. Any photocopying, publishing or reproduction of full or any part of this material is strictly prohibited. This material belongs to onlythe applicants of RESONANCE for its various Selection Tests (ResoNET) to be conducted for admission in Academic Session 2016-17. Any sale/resaleof this material is punishable under law. Subject to Kota Jurisdiction only.

S.No. ContentsPage No.

1 General Instructions for the Examination Hall 2

2 Sample Test Paper-I 3

3 Sample Test Paper-II 10

4 Answer Key & Hints, Solutions of Sample Test Paper-I 17

5 Answer Key & Hints, Solutions of Sample Test Paper-II 22

6 Sample ORS Answer Sheet for Resonance National Entrance Test (ResoNET)-2016 27

http://www.resonance.ac.in

mailto:[email protected]

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GENERAL INSTRUCTIONS IN THE EXAMINATION HALL

1. This booklet is your Question Paper.

2. The Question Paper Code is printed on the top right corner of this sheet.

3. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic gadgets

in any form are not allowed to be used.

4. Write your Name & Application Form Number in the space provided in the bottom of this

booklet.

5. Before answering the paper, fill up the required details in the blank space provided in the Objective

Response Sheet (ORS).

6. Do not forget to mention your paper code and Application Form Number neatly and clearly in

the blank space provided in the Objective Response Sheet (ORS) / Answer Sheet.

7. No rough sheets will be provided by the invigilators. All the rough work is to be done in the blank

space provided in the question paper.

8. No query related to question paper of any type is to be put to the invigilator.

9. Marks distribution of questions is as follows.

Time : 3 Hours Maximum Marks : 200

Name : _________________________________ Application Form Number : _______________

Correct Wrong Blank

1 to 12 17 to 28 33 to 42 � Single choice questions (SCQ) 3 -1 0

13 to 16 29 to 32 43 to 46 � Multiple choice questions (MCQ) 4 0 0

� 47 to 49 � Integer Type (Double) 4 0 0

� � 50 to 59Mental Ability

Single choice questions (SCQ) 3 -1 0

� � 60 to 63 Mental Ability Comprehension 3 -1 0

Marks to be awardedPart - I (Physics)

Part - II (Chemistry)

Type Part - III

(Mathematics) Part - IV

(Mental Ability)



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PART-I (PHYSICS)SECTION - I

Straight Objective TypeThis section contains 12 multiple choice questions. Each question has choices (A), (B), (C) and (D),out of which ONLY ONE is correct.

1. Which of the following is responsible for the flow of water in rivers ?(A) Magnetic force (B) Electrostatic force(C) Force of friction (D) Gravitational force

2. Shani is to Saturn, as Yama is to :(A) Pluto (B) Mars (C) Jupiter (D) Venus

3. In a stethoscope, sound of heartbeats travel through the stethoscope�s tube :

(A) by bending along the tube (B) in a straight line(C) by undergoing multiple reflections (D) as a sonic boom

4. If two plane mirrors are inclined at 60º, then the number of images formed of the object placed between these twomirrors are :(A) 4 (B) 3 (C) 5 (D) 6

5. C is the symbol of the unit of :(A) electric current (B) electric potential(C) electric charge (D) None of these

6. 1 Parsec is equal to :(A) 4.26 years (B) 4.26 Light years (C) 3.26 Light years (D) None of these

7. A coin flicked across a table stops because :(A) no force acts on it (B) it is very heavy(C) the table exerts a frictional force on it (D) none of these

8. Which of the following class of forces is different from others ?(A) Pulling of a cart (B) Stretching of a coiled spring(C) Kicking of a football (D) Electrical forces

9. A sound wave travels from east to west in which direction do the particles of air move ?(A) east-west (B) north-south (C) up and down (D) none of these

10. Mirror used to form magnified image is :(A) Concave mirror (B) Convex mirror(C) Plane mirror (D) None of these

11. Chapattis can be made from a small portion of dough by :(A) rolling. (B) breaking. (C) stretching. (D) squeezing.

12. The envelope of air around us is known as :(A) environment. (B) atmosphere. (C) air. (D) surrounding.

SECTION - IIStraight Objective Type

This section contains 4 multiple choice questions. Each question has choices (A), (B), (C) and (D), outof which MORE THAN ONE is correct.

SAMPLE TEST PAPER-I



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13. There are four resistors of 12 ohm each. Which of the following values is/are possible by theircombinations (series and / or parallel) ?(A) 9 ohm (B) 16 ohm (C) 12 ohm (D) 30 ohm

14. A body floats on water and also on an oil of specific gravity 0.8. Which of the following is/are true ?(A) Body loses less weight in oil than in water.(B) Volume of water displaced is 0.8 times that in oil.(C) It experiences equal upthrust from water and oil.(D) For the body to just sink, 0.8 times of extra load is required in water than in oil.

15. In case of image formation by plane mirrors:(A) Object can be real and image virtual (B) Object can be virtual and image real(C) Both object and image can be real (D) Both object and image can be virtual

16. Light causes the sensation of :(A) Vision (B) Hearing (C) Speaking (D) None of these

PART-II(CHEMISTRY)SECTION - I


17. Some salts have the tendency to asborb water from air and turn into a solution. This property is known as -(A) hydration (B) dehydration (C) solvation (D) deliquesence

18. In the chemical reactionFat + ? Soap + glycerolWhich of the following reactants is missing ?(A) Oil (B) Water (C) Alkali (D) Acid

19. Leather industry causes pollution because it discharge one or more of following -(a) Greasy water (b) sulfide waste(c) volatile organic compounds (d) chromiumChoose the correct answer(A) a only (B) b and c only (C) a, b and d only (D) all of the above

20. When a compound A is heated, a gas B is evolved which turns lime water milky. Compound A is used in themanufacture of glass. Gas B has a property of extinguishing fire and it does not support animal life. Thecompound A and B are respectively(A) NaHCO

3 and CO (B) CaCO

3 and CO (C) Na

2CO

3 and CO

2(D) NaHCO

3 and CO

2

21. Read the following statements -A. All the soaps and detergents contain two characteristic groups, water soluble and oil soluble.B. Generally detergents are not completely biodegradable and hence cause water pollution.C. Soaps are not completely biodegradable and they cause water pollution.D. Synthetic detergents can be conveniently used even with hard water.Select the correct alternative.(A) B, C and D are true, A is false (B) A, C and D are true, B is false(C) A, B and D are true, C is false (D) A, B and C are true, D is false

22. The monomer of PVC is -(A) Ethylene (B) Tetrafluroro ethylene(C) Chloroethane (D) None of the above

23. Which one of the following forms a chloride that is insoluble in water ?(A) Silver (B) Sodium (C) Copper (D) Potassium



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24. Examine the following statements.(a) Temporary hardness of water is due to the presence of soluble bicarbonates of calcium and magnesium.(b) Permanent hardness of water is caused by the presence of the chlorides and sulphates of calcium andmagnesium.(c) Rain water is the purest form of water collected after a heavy shower.(d) Ion exchange or permutit process is the modern and most effective method of removing both temporary andpermanent hardness of water.Which of the following statements are correct ?(A) (a) and (c) (B) (b) and (d) (C) (a), (b) and (c) (D) (a), (b), (c) and (d)

25. Graphite is used as a lubricant in machines because it has a very high melting point and also it �(A) is crystalline (B) has layer structure(C) is a ionic molecule (D) is a liquid at room temperature

26. Compound (A) on heating gives carbon dioxide, water and soda ash. (A) reacts with HCl and gives .(A) NaCl + CO

2 + H

2O (B) NaCl + CO

2 + CH

4

(C) CO2 + H

2O + CH

4(D) NaCl + H

2O + CH

4

27. Coal is a fossil fuel and it cannot be prepared in a laboratory or industry because the formation of coal.a. is very slow process.b. needs very low pressure and low temperature.c. needs very high pressure and high temperature.d. causes air pollution.Select the correct alternative.(A) a and b (B) b and d (C) c and a (D) d and c

28. The gaseous fuelsa. burn with producing smoke.b. have low calorific value.c. are easy to ignite.d. have high calorific value.Select the correct alternative.(A) a and b (B) b and c (C) c and d (D) d and b

SECTION - II

Straight Objective TypeThis section contains 4 multiple choice questions. Each question has choices (A), (B), (C) and (D), out

of which MORE THAN ONE is correct.

29. A carboxylic acid will evolve CO2 when reacted with

(A) NaHCO3

(B) HCl (C) NaHSO3

(D) Na2 CO

3

30. The metal/s that would liberate hydrogen on reaction with dilute hydrochloric acid is / are :(A) zinc (B) copper (C) silver (D) magnesium

31. Formation of coal from plant matter is called :(A) destructive distillation (B) carbonization(C) Fractional distillation (D) None of these

32. Which of the following is known as regenerated cellulose fibre ?(A) Cellophane (B) Nylon (C) Rayon (D) None of these



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PART-III (MATHEMATICS)SECTION - I


33. If

0

171

� 2

1

)64(

� 54

)32(

= ab

,

where a and b are positive integers, then the smallest value of a � b is

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

34. Solve :162

14460

.

(A) 8 (B) 3 (C) 6 (D) 4

35. In the given figure Q = R = S = 90º and PQ = QR = 5, RS = 10, ST = 3, then the length of PT will be �

P

RS

T

Q90º

90º

90º103

5

5

(A) 14 (B) 16 (C) 17 (D) 19

36. In the figure, F is taken on side AD of the square ABCD. CE is drawn perpendicular to CF, meeting ABextended to point E. If the area of CEF = 200 cm2 and area of square ABCD = 256 cm2, then the length ( incm) of BE is

(A) 10 (B) 11 (C) 12 (D) 16

37.

11

11

11

11

ba

ba

ba

ba equals to :

(A) 22 ab

b2

(B) 22 ba

b2

(C) 22 ab

a2

(D) 22 ba

a2

38. A sum of money lent out at compound interest at a certain rate increases in value by 50% in 5 years. Aperson wants to lend three different sums of money 'x', 'y' and 'z' for 10, 15 and 20 years respectively at theabove rate in such a way that he gets back equal sums of money at the end of the three periods.Then the ratio x : y : z is:(A) 4 : 3 : 2 (B) 5 : 4 : 1 (C) 9 : 6 : 4 (D) 11 : 9 : 7



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39. If 16 × 8n + 2 = 2m, then m is equal to :(A) n + 8 (B) 2n + 10 (C) 3n + 2 (D) 3n + 10

40. If half of x is y and one-third of y is z then :(A) z = 6% of x (B) z = 16.66% of x (C) z = 60% of x (D) z = 30% of x

41. In a XYZ, LM || YZ , intersecting XY and XZ at L and M respectively and bisectors YN and ZN of Y & Zrespectively meet at N on LM. Then YL + ZM =(A) YZ (B) XY (C) XZ (D) LM

42. If the radius of a right circular cylinder is increased by 50% and height is decreased by 20% then thepercentage change in volume of cylinder is(A) 40% (B) 50% (C) 60% (D) 80%

43. If p,q and r are positive real numbers, then the quantity (p + r) / (q + r) is(A) > (p/q) if p > q (B) < (p/q) if p > q(C) > (p/q) if p < q (D) None of these

44. The expression (5a � 3b)3 + (3b � 7c)3 � (5a � 7c)3 is divisible by(A) (5a + 3b + 7c) (B) (5a � 3b � 7c)

(C) (3b � 7c) (D) (7c + 5a)

45. In the figure shown :

140º

O

(A) � = 110º (B) = = 55º (C) = 110º (D) = 140º

46. Let f (x) = x2 + x � 6. For what values of �t� does f (t � 5) = 0 ?

(A) 9 (B) 3 (C) 5 (D) 7

SECTION - IIIInteger (double)Type

This section contains 3 questions. Write the answer in given space.

47. A cistern can be filled in 9 hr but it takes 10 hr due to a leak. In how much time (in hour) will the leak emptythe full cistern ?

48. If x + x1

= 5, the value of 2

4

x

1x

49. If 9x2 + kxy + 16y2 be a perfect square, then find k� s value.



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PART-IV(MENTAL ABILITY)SECTION - I


Directions : (50 to 52) Find the missing term :

50. 0, 3, 8, 15, 24, ?(A) 30 (B) 35 (C) 48 (D) 63

51. J 2 Z, K 4 X, I 7 V, ?, H 16 R, M 22 P(A) I 11 T (B) L 11 S (C) L 12 T (D) L 11 T

52.4 7 3 2

416 749 309 ?

(A) 304 (B) 104 (C) 204 (D) 404

53. In a certain code DELHI is written C D K G H, MADRAS as L Z C Q Z R how will PATNA be coded ?(A) O Z T M Z (B) O Z S M Z (C) Q B U M B (D) O Z T Z M

54. A watch reads 1:30, If the minute hand points to West in which direction does the hour hand point ?(A) North-East (B) South-East (C) South-West (D) West

55. Rohit and Rohan are brothers. Soniya and Sunita are sisters. Rohit�s son is Sunita�s brother. How is Rohan

related to Soniya.(A) Father (B) Brother (C) Grand Father (D) Uncle

56. Five boys took part in a race. Raj finished before Mohit but behind Gaurav. Ashish finished before Sanchit butbehind Mohit, who won the race ?(A) Raj (B) Gaurav (C) Mohit (D) Ashish

57. The priest told the devotee, "The temple bell is rung at regular intervals of 45 minutes. The last bell was rungfive minutes ago. The next bell is due to be rung at 7.45 a.m." At what time did the priest give this informationto the devotee ?(A) 7.40 a.m. (B) 7.05 a.m. (C) 6.55 a.m. (D) None of these

Direction : (58) Three of the following four are alike in a certain way and so form a group. Which is the one that doesnot below to that group ?

58.

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



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Directions : (59) In the following question consists of five figures. These figures form a series. Find out the one fromthe answer figures that will continue the series.

59. Problem Figures

x xx ?

Answer Figures

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

x

xx x

SECTION - IIComprehension Type

This section contains 2 paragraphs. Based upon each paragraph, 3 multiple choice questions have tobe answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Direction : (60 to 61) Read the following information and answer the questions.A was punctual. B came after him and C immediately before B. D was earliest but E was last of allgetting to school.

60. Who arrived first at school ?(A) A (B) B (C) C (D) D

61. Who came third ?(A) A (B) B (C) C (D) D

Directions : (62 to 63) Read the given information carefully and answer the questions that follow :Ratan, Anil, Pinku and Gaurav are brothers of Rakhi, Sangeeta, Pooja and Saroj, not necessarily in thatorder. Each boy has one sister and the names of bothers and sisters do not begin with the same letter. Pinkuand Gaurav are not Saroj�s or Sangeeta�s brothers. Saroj is not Ratan�s sister.

62. Pooja�s brother is

(A) Ratan (B) Anil(C) Pinku (D) Gaurav

63. Which of the following are brother and sister ?(A) Ratan and Pooja (B) Anil and Saroj(C) Pinku and Sangeeta (D) Gaurav and Rakhi



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PART-I (PHYSICS)

SECTION - IStraight Objective Type

This section contains 16 multiple choice questions. Each question has choices (A), (B), (C) and (D),

out of which ONLY ONE is correct.

1. Which of the following is responsible for the flow of water in rivers ?

(A) Magnetic force (B) Electrostatic force

(C) Force of friction (D) Gravitational force

2. Shani is to Saturn, as Yama is to :

(A) Pluto (B) Mars (C) Jupiter (D) Venus

3. In a stethoscope, sound of heartbeats travel through the stethoscope�s tube :

(A) by bending along the tube

(B) in a straight line

(C) by undergoing multiple reflections

(D) as a sonic boom

4. If two plane mirrors are inclined at 60º, then the number of images formed of the object placed between these two

mirrors are :

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

5. C is the symbol of the unit of :

(A) electric current (B) electric potential

(C) electric charge (D) None of these

6. 1 Parsec is equal to :

(A) 4.26 years (B) 4.26 Light years (C) 3.26 Light years (D) None of these

7. A coin flicked across a table stops because :

(A) no force acts on it (B) it is very heavy

(C) the table exerts a frictional force on it (D) none of these

8. Which of the following class of forces is different from others ?

(A) Pulling of a cart (B) Stretching of a coiled spring

(C) Kicking of a football (D) Electrical forces

9. A sound wave travels from east to west in which direction do the particles of air move ?

(A) east-west (B) north-south (C) up and down (D) none of these

10. Mirror used to form magnified image is :

(A) Concave mirror (B) Convex mirror

(C) Plane mirror (D) None of these

SAMPLE TEST PAPER-II



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11. Chapattis can be made from a small portion of dough by :

(A) rolling. (B) breaking. (C) stretching. (D) squeezing.

12. The envelope of air around us is known as :

(A) environment. (B) atmosphere. (C) air. (D) surrounding.

13. A body of mass 20 kg is kept initially at rest. A force of 80 N is applied on the body then the acceleration

produced in the body is 3 m/s2, force of opposition acting on the body.

(A) 20N (B) 40N (C) 50N (D) 60N

14. 1 dyne is equal to :

(A) 980 g wt (B) 980 kg wt (C) wtg980

1(D) None of these

15. The material used to make filament of electric bulb should be of :

(A) low resistivity and high melting point

(B) high resistivity and high melting point

(C) low resistivity and low melting point

(D) high resistivity and low melting point

16. Light ray AB incidents on a plane mirror XY at an angle of 50º. The second plane mirror is placed is such a

way that the reflected ray BC from the mirror XY after reflection from second mirror retraces its path. Angle of

inclination of two mirrors will be :

(A) 25º (B) 50º (C) 75º (D) 90º

PART-II(CHEMISTRY)




17. Some salts have the tendency to asborb water from air and turn into a solution. This property is known as -(A) hydration (B) dehydration (C) solvation (D) deliquesence

18. In the chemical reactionFat + ? Soap + glycerolWhich of the following reactants is missing ?(A) Oil (B) Water (C) Alkali (D) Acid

19. Leather industry causes pollution because it discharge one or more of following -(a) Greasy water (b) sulfide waste(c) volatile organic compounds (d) chromiumChoose the correct answer(A) a only (B) b and c only (C) a, b and d only (D) all of the above

20. When a compound A is heated, a gas B is evolved which turns lime water milky. Compound A is used in themanufacture of glass. Gas B has a property of extinguishing fire and it does not support animal life. Thecompound A and B are respectively(A) NaHCO

3 and CO (B) CaCO

3 and CO (C) Na

2CO

3 and CO

2(D) NaHCO

3 and CO

2



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21. Read the following statements -A. All the soaps and detergents contain two characteristic groups, water soluble and oil soluble.B. Generally detergents are not completely biodegradable and hence cause water pollution.C. Soaps are not completely biodegradable and they cause water pollution.D. Synthetic detergents can be conveniently used even with hard water.Select the correct alternative.(A) B, C and D are true, A is false (B) A, C and D are true, B is false(C) A, B and D are true, C is false (D) A, B and C are true, D is false

22. The monomer of PVC is -(A) Ethylene (B) Tetrafluroro ethylene(C) Chloroethane (D) None of the above

23. Which one of the following forms a chloride that is insoluble in water ?(A) Silver (B) Sodium (C) Copper (D) Potassium

24. Examine the following statements.(a) Temporary hardness of water is due to the presence of soluble bicarbonates of calcium and magnesium.(b) Permanent hardness of water is caused by the presence of the chlorides and sulphates of calcium andmagnesium.(c) Rain water is the purest form of water collected after a heavy shower.(d) Ion exchange or permutit process is the modern and most effective method of removing both temporary andpermanent hardness of water.Which of the following statements are correct ?(A) (a) and (c) (B) (b) and (d) (C) (a), (b) and (c) (D) (a), (b), (c) and (d)

25. Graphite is used as a lubricant in machines because it has a very high melting point and also it �(A) is crystalline (B) has layer structure(C) is a ionic molecule (D) is a liquid at room temperature

26. Compound (A) on heating gives carbon dioxide, water and soda ash. (A) reacts with HCl and gives .(A) NaCl + CO

2 + H

2O (B) NaCl + CO

2 + CH

4

(C) CO2 + H

2O + CH

4(D) NaCl + H

2O + CH

4

27. Coal is a fossil fuel and it cannot be prepared in a laboratory or industry because the formation of coal.a. is very slow process.b. needs very low pressure and low temperature.c. needs very high pressure and high temperature.d. causes air pollution.Select the correct alternative.(A) a and b (B) b and d (C) c and a (D) d and c

28. The gaseous fuels(a) burn with producing smoke. (b) have low calorific value.(c) are easy to ignite. (d) have high calorific value.Select the correct alternative.(A) a and b (B) b and c (C) c and d (D) d and b

29. The number of electrons in Al+3 is -(A) 13 (B) 12 (C) 11 (D) 10

30. Kerosene oil is a mixture of hydrocarbons containing number of carbon atoms -(A) C

6 to C

10(B) C

8 to C

12(C) C

11 to C

16(D) C

18 to C

22

31. Ascorbic acid is present in -(A) milk (B) tea (C) ants (D) lemon juice

32. The strength of the acid depends on the -(A) number of hydrogen atoms present in the molecule.(B) oxygen content.(C) density.(D) concentration of hydrogen ions furnished by ionisation.



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PART-III(MATHEMATICS)




33. If

0

171

� 2

1

)64(

� 54

)32(

= ab

,

where a and b are positive integers, then the smallest value of a � b is

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

34. Solve :162

14460

.

(A) 8 (B) 3 (C) 6 (D) 4


P

RS

T

Q90º

90º

90º103

5

5

(A) 14 (B) 16 (C) 17 (D) 19

36. In the figure, F is taken on side AD of the square ABCD. CE is drawn perpendicular to CF, meeting AB

extended to point E. If the area of CEF = 200 cm2 and area of square ABCD = 256 cm2, then the length ( in

cm) of BE is

(A) 10 (B) 11 (C) 12 (D) 16

37.

11

11

11

11

ba

ba

ba

ba equals to :

(A) 22 ab

b2

(B) 22 ba

b2

(C) 22 ab

a2

(D) 22 ba

a2

38. A sum of money lent out at compound interest at a certain rate increases in value by 50% in 5 years. Aperson wants to lend three different sums of money 'x', 'y' and 'z' for 10, 15 and 20 years respectively at theabove rate in such a way that he gets back equal sums of money at the end of the three periods.Then the ratio x : y : z is:(A) 4 : 3 : 2 (B) 5 : 4 : 1 (C) 9 : 6 : 4 (D) 11 : 9 : 7



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39. If 16 × 8n + 2 = 2m, then m is equal to :(A) n + 8 (B) 2n + 10 (C) 3n + 2 (D) 3n + 10

40. If half of x is y and one-third of y is z then :

(A) z = 6% of x (B) z = 16.66% of x (C) z = 60% of x (D) z = 30% of x

41. In a XYZ, LM || YZ , intersecting XY and XZ at L and M respectively and bisectors YN and ZN of Y & Z

respectively meet at N on LM. Then YL + ZM =

(A) YZ (B) XY (C) XZ (D) LM

42. If the radius of a right circular cylinder is increased by 50% and height is decreased by 20% then the

percentage change in volume of cylinder is

(A) 40% (B) 50% (C) 60% (D) 80%

43. Rs. 750 is divided among A,B and C in such a manner that A : B = 5 : 2 and B : C = 7 : 13, what is A�sshare?(A) Rs. 350 (B) Rs. 260 (C) Rs. 140 (C) Rs. 250

44. Solve for x : 16

)1x3( +

7)3x2(

= 8

)3x( +

14)1x3(

(A) 5 (B) 10 (C) � 14 (D) 12

45. The value of 4 �

41

2

13

11

5

is ___.

(A) 3140

(B) 94

(C) 81

(D) 4031

46. The Pythagorean triplet where one member is 14 __ .(A) 14,48, 50 (B) 14, 15, 18 (C) 14,20, 30 (D) 14, 30, 50

47. A is thrice as good workman as B and takes 10 days less to do a piece of work than B takes. B alone alonecan do the entire work in _______.(A) 12 days (B) 15 days (C) 20 days (D) 10 days

48. The product of two rational numbers is 8128

.If one of the number is 2714

, find the other..

(A) 23

(B) 32

(C) 23

(D) 32



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SECTION - IIIInteger (double)Type

This section contains 3 questions. Write the answer in given space.

49. A cistern can be filled in 9 hr but it takes 10 hr due to a leak. In how much time (in hour) will the leak emptythe full cistern ?

50. If x + x1

= 5, the value of 2

4

x

1x

51. If 9x2 + kxy + 16y2 be a perfect square, then find k� s value.

PART-IV(MENTAL ABILITY)




Directions : (52 to 54) Find the missing term :

52. 0, 3, 8, 15, 24, ?

(A) 30 (B) 35 (C) 48 (D) 63

53. J 2 Z, K 4 X, I 7 V, ?, H 16 R, M 22 P

(A) I 11 T (B) L 11 S (C) L 12 T (D) L 11 T

54.4 7 3 2

416 749 309 ?

(A) 304 (B) 104 (C) 204 (D) 404

55. In a certain code DELHI is written C D K G H, MADRAS as L Z C Q Z R how will PATNA be coded ?

(A) O Z T M Z (B) O Z S M Z (C) Q B U M B (D) O Z T Z M

56. A watch reads 1:30, If the minute hand points to West in which direction does the hour hand point ?

(A) North-East (B) South-East (C) South-West (D) West

57. Rohit and Rohan are brothers. Soniya and Sunita are sisters. Rohit�s son is Sunita�s brother. How is Rohan

related to Soniya.

(A) Father (B) Brother (C) Grand Father (D) Uncle

58. Five boys took part in a race. Raj finished before Mohit but behind Gaurav. Ashish finished before Sanchit but

behind Mohit, who won the race ?

(A) Raj (B) Gaurav (C) Mohit (D) Ashish

59. The priest told the devotee, "The temple bell is rung at regular intervals of 45 minutes. The last bell was rungfive minutes ago. The next bell is due to be rung at 7.45 a.m." At what time did the priest give this informationto the devotee ?(A) 7.40 a.m. (B) 7.05 a.m. (C) 6.55 a.m. (D) None of these



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Direction : (60) Three of the following four are alike in a certain way and so form a group. Which is the one that doesnot below to that group ?

60.

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

Directions : (61) In the following question consists of five figures. These figures form a series. Find out the one fromthe answer figures that will continue the series.

61. Problem Figures

x xx ?

Answer Figures

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

x

xx x

SECTION - II

Comprehension TypeThis section contains 2 paragraphs. Based upon each paragraph, 3 multiple choice questions have to

be answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Direction : (62 to 63) Read the following information and answer the questions.A was punctual. B came after him and C immediately before B. D was earliest but E was last of allgetting to school.

62. Who arrived first at school ?(A) A (B) B (C) C (D) D

63. Who came third ?(A) A (B) B (C) C (D) D

Directions : (64 to 65) Read the given information carefully and answer the questions that follow :Ratan, Anil, Pinku and Gaurav are brothers of Rakhi, Sangeeta, Pooja and Saroj, not necessarily in thatorder. Each boy has one sister and the names of bothers and sisters do not begin with the same letter. Pinkuand Gaurav are not Saroj�s or Sangeeta�s brothers. Saroj is not Ratan�s sister.

64. Pooja�s brother is

(A) Ratan (B) Anil (C) Pinku (D) Gaurav

65. Which of the following are brother and sister ?(A) Ratan and Pooja (B) Anil and Saroj (C) Pinku and Sangeeta (D) Gaurav and Rakhi



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ANSWER KEY TO WISDOM (JNN) SAMPLE TEST PAPER�I

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

6. (C) 7. (C) 8. (D) 9. (A) 10. (A)

11. (A) 12. (B) 13. (ABCD) 14. (BC) 15. (AB)

16. (AB) 17. (D) 18. (C) 19. (D) 20. (D)

21. (C) 22. (D) 23. (A) 24. (D) 25. (B)

26. (A) 27. (C) 28. (C) 29. (AD) 30. (AD)

31. (AB) 32. (AC) 33. (C) 34. (B) 35. (C)

36. (C) 37. (D) 38. (C) 39. (D) 40. (B)

41. (D) 42. (D) 43. (A) 44. (C) 45. (C)

46. (D) 47. (90) 48. (23) 49. (24) 50. (B)

51. (D) 52. (C) 53. (B) 54. (B) 55. (D)

56. (B) 57. (B) 58. (B) 59. (A) 60. (D)

61. (C) 62. (D) 63. (B)



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SOLUTIONS TO WISDOM (JNN) SAMPLE TEST PAPER�I

PART-I (PHYSICS)4. Angle between mirrors, = 60º

From formula, n = 60

360360

= 6 (even)

When n is even, then number of image = n�1 = 6 �1 = 5

13. (i) R R

R=12R

=12 (ii) 4 + 12 = 16

(iii) 24 + 6 = 30

(iv) = 9

PART-II (CHEMISTRY)23. All chlorides are soluble in water except AgCl, Hg

2Cl

2 and PbCl

2.

25. The layers of graphite can slip over each other therefore it can be used as lubricant.

26. 2NaHCO3

Na2CO

3 + H

2O + CO

2

[A]

NaHCO3 + HCl

NaCl + H2O + CO

2

29. R � COOH + NaHCO3 R � COONa + H

2O + CO

2

2R � COOH + Na2CO

3 2R � COONa + H

2O + CO

2

30. Zn +dil HCl ZnCl2 + H

2

Mg + dil HCl MgCl2 + H

2

PART-III (MATHEMATICS)

33.0

171

� 2

1

)64(

� 54

)32(

= ab

1 � 81

� 161

= ab

16

1216 =

ab

1613

= ab

a � b = 16 � 13 = 3

34. 162

14460

=

421260

=

872

= 9 = 3.



JNNSTP1617





P

RS

T

Q90º

90º

90º103

5

5U

5

10

PT2 = 152 + 82 = 225 + 64 = 289PT= 17

36. Area of CEF = 200 sq.cmArea of (ABCD) = 256 sq. cmSo, that each side of square is 16 cmCDF CBFSo, that CF = CF = x

21

x2 = 200

x2 = 400x = 20 cmThen in CBEBE2 = 202 � 162

BE2 = 400 � 256

BE2 = 144BE = 12 cm.

37. 11

11

11

11

ba

ba

ba

ba

= b1

a1

b1

a1

b1

a1

b1

a1

=

abab

ab1

abab

ab1

= ab

1ab

1

= 22 ab

abab

= 22 ab

a2

= 22 ba

a2

.

38.23

p = p

5

100R

1

5

100R

1

=

23

x

10

100R

1

= y

15

100R

1

= z

20

100R

1

x

2

23

= y

3

23

= z

4

23



JNNSTP1617




x = y23

= z49

= K x = K

y = 32

K z = 9K4

x : y : z = K : 32

K : 94

K = 9 : 6 : 4

39. 16 × 8n + 2 = 2m

24 × (23)n + 2 = 2m

23n + 10 = 2m m = 3n + 10.

40.2x

= y

y31

= z

z = y31

= 31

× 2x

z = 6x

So the z as a % of x

= xz

× 100 = %100x6/x = %

6100

of x = 16.66% of x

41. NYZ = YNL [Alternate interior angles]But NYZ = NYL [YN is the bisector of Y ]So, YNL = NYLSo, LY = LNSimilarly ZM = NM YL + ZM = LN + NM YL + ZM = LM

42. Let radius = r and height = h

New radius = r + 2r

= r23

New height = h � 100

h20 =

5h4

Volume of original cylinder (V1) = r2h

Volume of new cylinder (V2) =

2

r23

×

5h4

= × 49

r2 × 5h4

= 59r2h

Percentage change in Volume

= 1

12

V

V�V× 100

= 100hr

hr�hr59

2

22

= 100hr

1�59

hr

2

2

= 1005

5�9

51004

= 80%.



JNNSTP1617




43. p, q, r are positive real number.

Difference = rqrp

�

qp

)rq(qrp�pq�rqpq

= )rq(q

)p�q(r

p, q, r is positive.Hence, the difference is positive, if q > p and negative when p < q.Hence, A & D is the solution.

44. (5a � 3b)3 + (3b � 7c)3 � (5a �7c)3

Let 5a � 3b = x, 3b � 7c = y and 7c � 5a = z

x3 + y3 + z3 = 3 xyz, if x + y + z = 0.

x + y + z = 5a � 3b + 3b � 7c + 7c � 5a = 0

(5a � 3b)3 + (3b � 7c)3 + (7c �5a)3

= 3(5a � 3b)(3b � 7c)(7c � 5a)

It is divisible by 5a �3b, 3b � 7c, 7c � 5a.

45. ACB = 21AOB

ACB = 70º

ACBD is cyclic quadrilateral. C

A B

D

70º

140º

o

ADB + ACB = 180º

ADB = 180º � 70º = 110º

So, = 110º

AOBDAD + O + BD +D = 360º

+ 140º + 110º = 360º

+ = 110º.

46. f(x) = x2 + x � 6

f(x) = (x + 3) (x � 2)

f(t � 5) = f (t�5 + 3) (t � 5 � 2)

f (t � 5) = (t �2) (t � 7)

as f (t � 5) = 0

t � 2 = 0 t � 7 = 0

t = 2t = 7

PART-IV (MENTAL ABILITY)Sol. : (60 to 61) The sequence of arrived at school as follow

V IV III II ID > A > C > B > E

Sol. 60 D arrived first at school

Sol. 61 C came third

Sol. : (62 to 63) As given that the names of brothers and sisters do not begin with the same letter and Pinku andGaurav are not Saroj or Sangeeta�s brothers, Pinku cannot be the brother of Pooja and Hence he is the

brother of Rakhi.Now we have that Gaurav cannot be the brother of Saroj, Sangeeta or Rakhi. Therefore Gaurav is the brotherof Pooja. As given that Saroj is not Ratan�s sister and Rakhi and Pooja can also not be the sister�s of Ratan

(From above conclusions), Ratan is the brother of Sangeeta. Anil will have to be the brother of saroj as thisis the only valid combination left. Therefore, we have this table finally.

Brother Sister

Pinku Rakhi

Gaurav Pooja

Ratan Sangeeta

Anil Saroj



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ANSWER KEY TO WISDOM (JNN) SAMPLE TEST PAPER�II

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

6. (C) 7. (C) 8. (D) 9. (A) 10. (A)

11. (A) 12. (B) 13. (A) 14. (C) 15. (B)

16. (B) 17. (D) 18. (C) 19. (D) 20. (D)

21. (C) 22. (D) 23. (A) 24. (D) 25. (B)

26. (A) 27. (C) 28. (C) 29. (D) 30. (C)

31. (D) 32. (D) 33. (C) 34. (B) 35. (C)

36. (C) 37. (D) 38. (C) 39. (D) 40. (B)

41. (D) 42. (D) 43. (A) 44. (A) 45. (C)

46. (A) 47. (B) 48. (B) 49. (90) 50. (23)

51. (24) 52. (B) 53. (D) 54. (C) 55. (B)

56. (B) 57. (D) 58. (B) 59. (B) 60. (B)

61. (A) 62. (D) 63. (C) 64. (D) 65. (B)



JNNSTP1617




SOLUTIONS TO WISDOM (JNN) SAMPLE TEST PAPER�II

PART-I (PHYSICS)

4. Angle between mirrors, = 60º

From formula, n = 60

360360

= 6 (even)

When n is even, then number of image = n�1 = 6 �1 = 5

PART-II (CHEMISTRY)

23. All chlorides are soluble in water except AgCl, Hg2Cl

2 and PbCl

2.

25. The layers of graphite can slip over each other therefore it can be used as lubricant.

26. 2NaHCO3

Na2CO

3 + H

2O + CO

2

[A]

NaHCO3 + HCl

NaCl + H2O + CO

2

29. R � COOH + NaHCO3 R � COONa + H

2O + CO

2

2R � COOH + Na2CO

3 2R � COONa + H

2O + CO

2

30. Zn +dil HCl ZnCl2 + H

2

Mg + dil HCl MgCl2 + H

2

PART-III (MATHEMATICS)

33.0

171

� 2

1

)64(

� 54

)32(

= ab

1 � 81

� 161

= ab

161216

= ab

1613

= ab

a � b = 16 � 13 = 3

34. 162

14460

= 421260

= 872

= 9 = 3.



JNNSTP1617





P

RS

T

Q90º

90º

90º103

5

5U

5

10

PT2 = 152 + 82 = 225 + 64

= 289

PT= 17

36.

Area of CEF = 200 sq.cm

Area of (ABCD) = 256 sq. cm

So, that each side of square is 16 cm

CDF CBF

So, that CF = CF = x

21

x2 = 200

x2 = 400

x = 20 cm

Then in CBE

BE2 = 202 � 162

BE2 = 400 � 256

BE2 = 144

BE = 12 cm.

37. 11

11

11

11

ba

ba

ba

ba

= b1

a1

b1

a1

b1

a1

b1

a1

=

abab

ab1

abab

ab1



JNNSTP1617




= ab

1ab

1

= 22 ab

abab

= 22 ab

a2

= 22 ba

a2

.

38.23

p = p

5

100R

1

5

100R

1

=

23

x

10

100R

1

= y

15

100R

1

= z

20

100R

1

x

2

23

= y

3

23

= z

4

23

x = y23

= z49

= K

x = K

y = 32

K

z = 9K4

x : y : z = K : 32

K : 94

K = 9 : 6 : 4

39. 16 × 8n + 2 = 2m

24 × (23)n + 2 = 2m

23n + 10 = 2m m = 3n + 10.

40.2x

= y

y31

= z

z = y31

= 31

× 2x

z = 6x

So the z as a % of x

= xz

× 100

= %100x6/x = %

6100

of x = 16.66% of x



JNNSTP1617




41. NYZ = YNL [Alternate interior angles]But NYZ = NYL [YN is the bisector of Y ]So, YNL = NYLSo, LY = LNSimilarly ZM = NM YL + ZM = LN + NM YL + ZM = LM

42. Let radius = r and height = h

New radius = r + 2r

= r23

New height = h � 100

h20 =

5h4

Volume of original cylinder (V1) = r2h

Volume of new cylinder (V2) =

2

r23

×

5h4

= × 49

r2 × 5h4

= 59r2h

Percentage change in Volume

= 1

12

V

V�V× 100

= 100hr

hr�hr59

2

22

= 100hr

1�59

hr

2

2

= 1005

5�9

51004

= 80%.

PART-IV (MENTAL ABILITY)Sol. : (62 to 63) The sequence of arrived at school as follow

V IV III II ID > A > C > B > E

Sol. 62 D arrived first at school

Sol. 63 C came third

Sol. : (64 to 65) As given that the names of brothers and sisters do not begin with the same letter and Pinku andGaurav are not Saroj or Sangeeta�s brothers, Pinku cannot be the brother of Pooja and Hence he is the

brother of Rakhi.Now we have that Gaurav cannot be the brother of Saroj, Sangeeta or Rakhi. Therefore Gaurav is the brotherof Pooja. As given that Saroj is not Ratan�s sister and Rakhi and Pooja can also not be the sister�s of Ratan

(From above conclusions), Ratan is the brother of Sangeeta. Anil will have to be the brother of saroj as thisis the only valid combination left. Therefore, we have this table finally.

Brother Sister

Pinku Rakhi

Gaurav Pooja

Ratan Sangeeta

Anil Saroj



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Wisdom Sample Test Paper 2016

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