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SAMPLE P APER TIME : 60 MIN. CLASS : 9 th MM : 60 GENERAL INS TRU C TIONS 1. The question paper contains total 60 Questions and each carry 1 marks (Mathematics) : Q.1 to Q.15 (General Science) : Q.16 to Q.45 (Aptitude) : Q.46 to Q.60 2. The OMR sheet given in the examination hall is the Answer Sheet. 3. Before answering the paper, fill up the required details in the blank spaces provided in the answer sheet. 4. Negative marking –0.25. 5. For result and latest update visit our Website : edge.vibrantacademy.com VIBRANT ACADEMY (India) Private Limited A-14(A), Road No.1, Indraprastha Industrial Area, Kota-324005 (Raj.) Tel.: 0744-2425408, +91 9116147808 Website : edge.vibrantacademy.com Email: [email protected] Other Branches Jaipur : 0141-2502255, 2503355, E-mail: [email protected] Jabalpur : 9300104480, 8839484682, E-mail: [email protected] Udaipur : 9116147806, 9079600585, E-mail: [email protected] Dehradun : 7300801684, 8394000445, E-mail: [email protected] Mehrandergarh : 8397098029, 9017111100, E-mail: [email protected]

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Page 1: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

SAMPLE PAPER

TIME : 60 MIN. CLASS : 9th MM : 60

GENERAL INSTRUCTIONS1. The question paper contains total 60 Questions and each carry 1 marks

(Mathematics) : Q.1 to Q.15

(General Science) : Q.16 to Q.45

(Aptitude) : Q.46 to Q.60

2. The OMR sheet given in the examination hall is the Answer Sheet.

3. Before answering the paper, fill up the required details in the blank spaces providedin the answer sheet.

4. Negative marking –0.25.

5. For result and latest update visit our Website : edge.vibrantacademy.com

VIBRANT ACADEMY (India) Private Limited

A-14(A), Road No.1, Indraprastha Industrial Area, Kota-324005 (Raj.)Tel.: 0744-2425408, +91 9116147808

Website : edge.vibrantacademy.com Email: [email protected]

Other BranchesJaipur : 0141-2502255, 2503355, E-mail: [email protected]

Jabalpur : 9300104480, 8839484682, E-mail: [email protected]

Udaipur : 9116147806, 9079600585, E-mail: [email protected]

Dehradun : 7300801684, 8394000445, E-mail: [email protected]

Mehrandergarh : 8397098029, 9017111100, E-mail: [email protected]

Page 2: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

Vibrant Academy (I) Pvt. Ltd. "A-14(A)" Road No.1, Indraprastha Industrial Area, Kota (Raj.) Ph. 0744-2425408 [2]

VIBRAN

T

1. If the difference of the square of two consecutiverational numbers is 29. Then one of the numberis -(A) 28 (B) 13(C) 14 (D) 16

2. If (12 +22 +32 +42 +52)2 =P1

then P is____.

(A) 31251

(B) 3125

(C) 30251

(D) 3025

3. A man suffers a loss of 25% by selling articlesat the rate of Rs. 432 per dozen. The costprice of the article per dozen was :(A) Rs. 45 (B) Rs. 48(C) Rs. 476 (D) Rs. 576

4. The compound Interest on Rs. 25,600 for 2 yearsat 6¼ % per annum is :(A) Rs.3000 (B) Rs. 3300(C) Rs. 3600 (D) Rs. 4000

5. Evaluate 9192141

(A) 3 (B) 6(C) 5 (D) 6.4

6. Evaluate 2/3

21

2/13

21

(A) 2

21

(B)

5/3

21

(C) 0 (D) 1

7. A cylindrical rod whose height is 8 times of itsradius is melted and recast into spherical ballsof same radius. The number of balls will be :(A) 4 (B) 3(C) 6 (D) 8

8. A student has to secure 35% marks to passthe examination. If he gets 120 marks and failsby 20 marks, find the maximum marks set forthe examination :(A) 1000 (B) 400(C) 350 (D) 700

9. If the mean of y and y1

is M, then the mean of y3 and

3y

1 is :

(A) 2

32MM

(B) M (4M2 –3)

(C) M3 (D) 2M (4M2 –3)

10. If 61–

3)3x(6

8x–6

4x5

, then x = ?

(A) 22

121– (B) 12121

(C) 21

212 (D) 21

122–

11. Gold is 19 times as heavy as water and copperis 9 times as heavy as water. In what ratioshould these be mixed to get an alloy 15 timesas heavy as water ?(A) 1 : 1 (B) 2 : 3(C) 1 : 2 (D) 3 : 2

12. As shown in figure, the distance betweenparallel sides of parallelogram is 8 cm and thelength of one of the side is 12 cm. What is thearea of parallelogram ?

12 cm

8 cm

(A) 40 sq. cm. (B) 48 sq. cm.(C) 20 sq. cm. (D) 96 sq. cm.

Page 3: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

Vibrant Academy (I) Pvt. Ltd. "A-14(A)" Road No.1, Indraprastha Industrial Area, Kota (Raj.) Ph. 0744-2425408 [3]

VIBRAN

T

13. In the figure given below, BA || DC andEC = ED, the measure BED is :

50º

A

B C

D

E

(A) 80º (B) 50º(C) 100º (D) 105º

14. If 61–

3)3x(6

8x–6

4x5

, then x = ?

(A) 22

121– (B) 12121

(C) 21

212 (D) 21

122–

15. A cylindrical rod whose height is 8 times of itsradius is melted and recast into spherical ballsof same radius. The number of balls will be :(A) 4 (B) 3(C) 6 (D) 8

16. If the reflected ray is at an angle of 90° to theincident ray, then the angle of incidence of aray is :(A) 50º (B) 60º(C) 45º (D) 90º

17. External forces are :(A) always balanced(B) never balanced(C) may or may not be balanced(D) none of these

18. A series of ocean waves, each 5.0 m from crestto crest, are moving past the observer at a rateof 2 waves per second. What is the velocity :(A) 2.5 m/s (B) 5.0 m/s(C) 8.0 m/s (D) 10.0 m/s

19. If I is the current through a wire and e is thecharge of electron, then the number of electronsin t sec. will be given by

(A) teI

(B) Ite

(C) tIe

(D) eIt

20. 1 dyne is equal to :(A) 980 g wt (B) 980 kg wt

(C) wtg980

1(D) None of these

21. Atmospheric pressure on the earth is unable tocrush humans because :(A) humans are the most powerful living beings

on the earth(B) pressure exerted from the inside of the body

cells is less than the atmospheric pressurethere

(C) pressure exerted from the inside of the bodycells is more than the atmospheric pressurethere

(D) pressure exerted from the inside of the bodycells equals the atmospheric pressure there

22. A book of 10 N is placed on the table. The forceexerted by the surface of the table on the bookwill be :(A) 380 N (B) 10 N(C) 20 N (D) 100 N

23. Which of the following is not a unit of force ?(A) Dyne (B) Kg m s–2

(C) g cm s–2 (D) Kg m2 s–2

24. If the distance between the object and its imagein a plane mirror is 14.6 cm, then the distanceof the object from the mirror is(A) 14.6 cm (B) 7.3 cm(C) 29.2 cm (D) 10 cm

Page 4: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

Vibrant Academy (I) Pvt. Ltd. "A-14(A)" Road No.1, Indraprastha Industrial Area, Kota (Raj.) Ph. 0744-2425408 [4]

VIBRAN

T

25. Commercial unit of electrical energy is :(A) Calorie (B) Kilowatt hour(C) Joule (D) All of them

26. The metal which can displace zinc from its saltsolution is -(A) Mg (B) Fe(C) Pb (D) Cu

27. Which of the following has the highestpercentage of carbon ?(A) Peat (B) Lignite(C) Bituminous (D) Anthracite

28. Which of the following is an example ofamphoteric oxide ?(A) ZnO (B) CO(C) Fe2O3 (D) FeO

29. The head of a safety match contains(A) antimony trisulphide and potassium chlorate(B) antimony chloride and potassium sulphide(C) antimony carbonate(D) potassium sulphide

30. Which one of the following statements pertainingto the general properties of metals is wrong ?(A) Most of the metals form basic oxides.(B) All metals displace hydrogen from acids.(C) All metals except Hg are found in solid stateat room temperature.(D) Metals form alloys with other metals.

31. Main constituents of coal gas are -(A) H2O, C2H6, O2 (B) CH4, CO2, O2(C) CH4, H2, CO (D) C2H6, N2, O2

32. LPG mainly contains :(A) butane and isobutane(B) methane(C) methane and ethane(D) hydrogen, methane and ethane

33. Kavita, Mahima and Shreya were doing anexperiment in which water was to be heated ina beaker. Kavita kept the beaker in innermostblack part of the candle flame. Mahima keptthe beaker near the wick in the yellow part andShreya kept the beaker in the outermost partof the flame. Whose water will get heated in ashorter time ?(A) Kavita (B) Mahima(C) Shreya (D) Both Kavita and

34. The kind of fabric that can be used while workingin a laboratory is :(A) silk (B) nylon(C) cotton (D) both (A) and (B)

35. Fabric polycot is prepared by mixing :(A) polyester with silk(B) polyester with nylon(C) polyester with cotton(D) polyester with silk and cotton

36. Manures are beneficial to soil because :(A) They increase soil erosion(B) They increase water holding capacity of soil(C) They are water soluble in nature(D) They are required in large quantities

37. Green revolution means(A) use of green manure(B) Growing of more crops(C) Use of high yeild varieties(D) Green vegetation

38. Diagnostic test for AIDS is :(A) Widal Test(B) Lepamin test(C) ELISA Test(D) Biopsy

Page 5: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

Vibrant Academy (I) Pvt. Ltd. "A-14(A)" Road No.1, Indraprastha Industrial Area, Kota (Raj.) Ph. 0744-2425408 [5]

VIBRAN

T

39. World climate is threatened by increase inconcentration of :(A) oxygen (B) carbon dioxide(C) nitrogen (D) water vapours

40. Bishnoi community people lost their lives whileprotecting :(A) Khejri tree (B) Salt tree(C) Pinus tree (D) Teak tree

41. Bacteriophage is :(A) Bacteria which kills organisms(B) Bacteria which kills viruses(C) Virus which attack bacteria(D) None of the above

42. The most busy part of the human body is :(A) Heart (B) Eye(C) Liver (D) Ear

43. The Sex of the child is determind by :(A) Health of mother and father(B) Male and female both(C) Female(D) Male

44. Removal of weeds is necessary for plant growthbecause weeds :(A) compete with crop for nutrition(B) cause diseases in crop(C) delay the harvesting time of the crop(D) attract the insects and birds towards the

crop

45. NPK stand for :(A) Nitrogen, Phosphorus and Sulphur(B) Nitrogen, Potassium and Calcium(C) Nitrogen, Phosphorus and Potassium(D) Nitrogen, Potassium and Iron

Directions : (46 to 47) Find the missing terms :

46.25 17 4132 83 1126 ? 31

(A) 26 (B) 25(C) 34 (D) 38

47. mq _ sqm _ qssq _ m _ ssqmm _ s(A) qsmsq (B) qmsmq(C) smmqq (D) sqmss

48. How many numbers amongst the numbers 7 to41 are there which are exactly divisible by 9but not by 3 ?(A) 0 (B) 1(C) 2 (D) 3

49. In the following question dice has been shownin different poisiton. Study the pattern of thenumbers on each face of it and find out the valueof the sign “?” from four alternatives given -

14

51 1 ?

5 6 43 4 6

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

Directions : (50 to 51) Find the missing terms :

50. 55, 210, ?, 820, 1275(A) 465 (B) 420(C) 410 (D) 515

51.

3 5

32

19

2 34 5

6 42 5

20 ?

(A) 47 (B 45(C) 37 (D) 35

Page 6: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

52. Which letter should be ninth letter to the left ofninth letter from the right, if the first half of thealphabet series is reversed ?(A) D (B) E(C) F (D) I

53. Pointing to a person, Rohit said to Neha, “Hismother is the only daughter of your father. “Howis Neha related to that person ?(A) Aunt (B) Mother(C) Daughter (D) Wife

54.

(A) 33 (B) 145(C) 135 (D) 18

55. Find out the two signs to be interchanged formaking following equation correct :3 – 9 × 27 + 9 ÷ 3 = 3(A) + and – (B) × and +(C) × and ÷ (D) × and –

Directions (56 & 57): Find the missing numbers/letter/terms :

56. ab – cb – c – c – – b(A) bcaaa (B) aabbc(C) abcab (D) acbca

57.

? 4 52

45 11 4367 23 28

25 16 37

(A) 3 (B) 2(C) 5 (D) 6

Direction : (58) Which of the Venn diagrams given in thealternatives best represents the relationbetween the given items ?

58. Boys, Students, Players

(A) (B)

(C) (D)

59. A baby who was born on 29th Feb. 1896, whendid he celebrate his first birthday.(A) 28th Feb. 1897 (B) 29th Feb. 1900(C) 29th Feb. 1904 (D) 20th Feb. 1908

60. Which interchange of signs will make thefollowing equation true ?12 – 3 × 2 ÷ 18 + 6 = 9(A) ÷, – (B) ÷, +(C) ×, – (D) +, –

*********************************************

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VIBRANT ACADEMY APP from play store*********************************************

Page 7: MM : 60 GENERAL INSTRUCTIONS - Vibrant Academy

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Ans. C C D B B D C B B D D D C D C

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. C C D D C D B D B B A D A A B

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

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

CLASS-IX( ANSWER KEY)