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MaaRula MCA Entrance Classes AMIT KATIYAR (MCA-JNU) 117/0/687 In front of Anurag hospital, Crossing no. 9 Kanpur E-mail ID- [email protected] Cont. No. 9554548576, 8299331570 Visit us: www.maarulaclasses.in for online test series: www.maarulatest.com

KIITEE-2011 Duration- (3 Hour)

Add:-IN FRONT OF ANURAG HOSPITAL, 9 NO. CROSSING KANPUR Mo. No. 9554548576, 8299331570

AMIT KATIYAR

1. For real x, let 푓(푥) = 푥 + 5푥 + 1, then (a) 푓 is onto 푅 but not one-one (b) 푓 is one-one and onto 푅 (c) 푓 is neither one-one nor onto 푅 (d) 푓 is one-one but not onto 푅

2. The largest interval lying in – , for which the function 푓(푥) = 4 +

cos − 1 + log(cos 푥), is defined, is

(a) – , (b) [0, 휋] (c) 0, (d) – ,

3. Let 푤 denotes the words in the English dictionary. Define the relation R by : 푅 = {(푥, 푦) ∈ 푤 ×푤|the words x and y have at least one letter in common}, then R is (a) not reflexive, symmetric and transitive (b) reflexive, symmetric and not transitive (c) reflexive, symmetric and transitive (d) reflexive, not symmetric and transitive

4. If |푥 + 4| ≤ 3, then the maximum value of |푧 + 1| is (a) 6 (b) 0 (c) 4 (d) 10

5. If 푤 = and |푤| = 1, then 푧, lies on

(a) a circle (b) an ellipse (c) a parabola (d) a straight line 6. If 1,푎 푎 , … ,푎 are 푛 roots of unity, then + +⋯+ equals

(a) (b) (c) (d) None of these

7. If 푧 푎푛푑 푧 both satisfy the relation 푧 + 푧̅ = 2|푧 − 1| and arg(푧 − 푧 ) = 휋/4, then lim (푧 + 푧 ) equals (a) 0 (b) 1 (c) 2 (d) 3

8. If 푎, 푏, 푐 are positive integers and 휔 is imaginary cube root of unity and 푓(푥) = 푥 + 푥 + 푥 , then 푓(휔) equals (a) 0 (b) 1 (c) −1 (d) None of these

9. If 푧 and 푤 are two non-zero complex numbers such that |푧| = |푤| and arg(푧) + arg(푤) = 휋, then 푧 equals (a) 푤 (b) 푤 (c) −푤 (d) −푤

10. The least positive integer 푛 for which represent a real number is

(a) 4 (b) 8 (c) 12 (d) 2 11. If 푧 = 휏 + 3 + 푖 (3 − 휏 ),∀휏 ∈ 푅, then locus of 푧 is a

(a) circle (b) parabola (c) straight line (d) None of the above

12. If 푧 ≠ 0, then ∫ arg(−|푧|)푑푥 equals (a) 50 (b) Not defined (c) 0 (d) 50휋

13. How many real solutions does the equation 푥 + 14푥 + 16푥 + 30푥 − 560 =0 have ? (a) 1 (b) 3 (c) 5 (d) 7

14. If the roots of the equation 푏푥 + 푐푥 + 푎 = 0 be imaginary, then for all real values of x, the expression 3푏 푥 + 6푏푐푥 + 2푐 is (a) less than 4푎푏 (b) greater than −4푎푏 (c) less than −4푎푏 (d) greater than 4푎푏

15. If both the roots of the quadratic equation 푥 − 2푘푥 + 푘 + 푘 − 5 = 0 are less than 5, then k lies in the interval (a) (6,∞ ) (b) (5, 6] (c) [4, 5] (d) (−∞, 4)

16. If 푎 > 0, and discriminant of 푎푥 + 2푏푥 + 푐 < 0 is greater than zero, then 푎 푏 푎푥 + 푏푏 푥 푏푥 + 푐

푎푥 + 푏 푏푥 + 푐 0 is

(a) positive (b) (푎푐 − 푏 )(푎푥 + 2푏푥 + 푐) (c) negative (d) 0

17. If 푙,푚, 푛 are 푝 , 푞 , 푟 terms of GP, all positive, then log 푙 푝 1

log푚 푞 1log 푛 푟 1

equals

(a) −1 (b) 2 (c) 1 (d) 0 18. If the system of equations 푥 + 2푎푦 + 푎푧 = 0, 푥 + 3푏푦 + 푏푧 = 0, 푥 + 4푐푦 + 푐푧 =

0 has a non-zero solution, then 푎,푏, 푐 are in (a) GP (b) HP (c) satisfy 푎 + 3푏 + 3푐 = 0 (d) AP

19. Let 퐴 =0 0 −10 −1 0−1 0 0

, then only correct statement about the matrix A is

(a) 퐴 does not exist (b) 퐴 = (−1)푙 (c) 퐴 is a zero matrix (d) 퐴 = 푙

20. Let 퐴 =5 5푎 푎0 푎 5푎0 0 5

, if |퐴 | = 25, then |푎| is equal to

(a) 1/5 (b) 5 (c) 5 (d) 1

21. If 퐴 =cos 푥 sin푥 0− sin푥 cos푥 0

0 0 1= 푓(푥), then 퐴 is equal to

(a) 푓(−푥) (b) 푓(푥) (c) –푓(푥) (d) – 푓(−푥)

22. Let 퐴 = 1 01 1 , then ∀푛 ∈ 푁

(a) 퐴 = 1 11 푛 (b) lim →∞ = 0 0

−1 0

(c) lim →∞ = 0 00 0 (d) None of these

23. The domain of the function log . 푥 is (a) (1,∞) (b) (0,∞) (c) (0, 1] (d) (0, 5, 1)

24. If 푥 = log 5,푦 = log 25, which of the following is correct ? (a) 푥 < 푦 (b) 푥 = 푦 (c) 푥 > 푦 (d) None of these

25. A student has to answer 10 out of 13 questions in an examination such that he must choose at least 4 questions from first five questions. The number of choices available to him is (a) 196 (b) 280 (c) 346 (d) 140

26. How many numbers can be formed greater than 1000 but less than 4000 using the digits 0, 2, 3, 4 if repetition is allowed ? (a) 125 (b) 105 (c) 128 (d) 625

27. The probability that a student will obtain grades A, B, C or D are 0.30, 0.35, 0.20 and 0.15 respectively. the probability that he will receive at least X grade is (a) 0.65 (b) 0.85 (c) 0.80 (d) 0.25

28. The coefficient of 푥 and 푥 in the expansion of (1 + 푥) are (a) equal (c) equal with opposite sign (c) reciprocal of each other (d) None of the above

29. lim →∞ 1 + + = 푒 , then the values of 푎 and 푏 are

(a) 푏 = 2, 푎 ∈ 푅 (b) 푎 = 1, 푏 ∈ 푅 (c) 푎, 푏 ∈ 푅 (d) 푎 = 1, 푏 = 2

30. Let 푓(푥) = ∫ 푒 (푥 − 1)(푥 − 2)푑푥, then 푓 decreases in the interval (a) (−∞, 2) (b) (−2,−1) (c) (1, 2) (d) (2, ∞)

31. If the function 푓(푥) = 2푥 − 9푎푥 + 12푎 푥 + 1 has a local maximum at 푥 = 푥 and a local minimum at 푥 = 푥 , such that 푥 = 푥 , then 푎 is equal to (a) 0 (b) 1/4 (c) 2 (d) 0 or 2

32. Let 푓(푥) = |푥 − 3푥| + 푎, 0 ≤ 푥 ≤ 3/2−2푥 + 3, 푥 ≥ 3/2 . 푖푓 푓(푥) has a local maxima at

푥 = 3/2, then (a) 푎 ≤ 0 (b) 푎 ≤ −9/2 (c) 푎 ≥ 9/4 (d) None of the above

33. The difference between the greatest and the least values of the function 푓(푥) = ∫ (푎푡 + 1 + cos 푡)푑푡,푎 > 0 for 푥 ∈ [2, 3] is

(a) 푎 + 1 + (sin3 − sin 2) (b) 푎 + 1 + 2 sin 3 (c) sin 3 − sin 2 (d) 0

34. ∫ 푓(푥)푑푥 is equal to (where 푓(2 − 푎) = 푓(2 + 푎),∀ 푎 ∈ 푅, (a) 2 ∫ 푓(푥)푑푥 (b) 2 ∫ 푓(푥)푑푥

(c) 2 ∫ 푓(푥)푑푥 (d) None of the above

35. If 푓(푥) = ∫ { ( )} 푎푛푑 ∫ { ( )}

= √6, then 푓(9) equals

(a) 0 (b) 1 (c) 2 (d) 3 36. The value of the function ∫ [푥] 푑푥, where [ . ] denotes the greater integer

function is (a) 0 (b) 14400 (c) 2200 (d) 3025

37. The area bounded by 푦 = , 푥 − 푎푥푖푠 and the ordinates at 푥 = 0, 푥 = 휋/4,

is

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AMIT KATIYAR

(a) = 휋/4 (b) < 휋/4 (c) > 휋/4 (d) < ∫ / 푑푥

38. The slope of the tangent to a curve 푦 = 푓(푥) at (푥,푓(푥)) is 2푥 + 1. If the curve passes through the point (1, 2), then the area of the region bounded by the curve, the x-axis and the line 푥 = 1, is (a) 5/6 푠푞 .푢푛푖푡 (b) 6/5 푠푞. 푢푛푖푡 (c) 1/6 푠푞 . 푢푛푖푡 (d) 6 푠푞. 푢푛푖푡

39. The area enclosed between the curves 푦 = 푥 and 푦 = |푥| is (a) 2/3 (b) 1/3 (c) 1/6 (d) 1

40. The value of c for which conclusion of Mean Value Theorem holds for the function 푓(푥) = log 푥 on the interval [1, 3] is (a) log 푒 (b) log 3 (c) 2 log 푒 (d) log 3

41. The solution of the differential equation = satisfying the

condition 푦(1) = 1, is (a) 푦 = 푥 log 푥 + 푥 (b) 푦 = 푥푒 (c) 푦 = log 푥 + 푥 (d) 푦 = 푥 + 푥 log 푥

42. The differential equation which represents the family of curves 푦 = 푐 푒 , where 푐 푎푛푑 푐 are arbitrary constants is (a) 푦" = 푦′푦 (b) 푦푦" = 푦′ (c) 푦푦" = (푦′)^2 (d) 푦 ′ = 푦

43. The function 푓(푥) = + has a local minimum at

(a) 푥 = 2 (b) 푥 = −2 (c) 푥 = 0 (d) 푥 = 1 44. The image of 푃(푎,푏) on 푦 = −푥 is Q and the image of Q on the

line 푦 = 푥 is R, then the mid-point of PR is

(a) (푎 + 푏, 푏 + 푎) (b) ,

(c) (푎 − 푏, 푏 − 푎) (d) (0, 0) 45. If the distance of any point (x, y) from the origin is defined as

푑(푥,푦) = |푥| + |푦|, then the locus of 푑(푥,푦) = 1 is a (a) circle of area 휋 푠푞 푢푛푖푡푠 (b) square of area 1 푠푞 푢푛푖푡 (c) square of area 2 푠푞 푢푛푖푡푠 (d) None of these

46. The pair of lines represented by 3푎푥 + 5푥푦 + (푎 − 2)푦 = 0 are perpendicular to each other for (a) two values of 푎 (b) for all 푎 (c) for one value of 푎 (d) for no values of 푎

47. In an ellipse, the distance between its foci is 6 and minor axes is 8, then its eccentricity is (a) 3/5 (b) 1/2 (c) 4/5 (d) 1/√5

48. The parabola has the origin at its focus and 푥 = 2 as the directrix, then the vertex of the parabola is at (a) (0, 1) (b) (1, 0) (c) (2, 0) (d) (0, 2)

49. If one of the lines given by 6푥 − 푥푦 + 4푐푦 = 0 is 3푥 + 4푦 = 0, the 푐 equals (a) 3 (b) −1 (c) 1 (d) −3

50. The point diametrically opposite to the point 푃(1, 0) on the circle 푥 + 푦 + 2푥 + 4푦 − 3 = 0, is (a) (3, 4) (b) (3,−4) (c) (−3,−4) (d) (−3, 4)

51. Let the lines = = lie in the plane 푥 + 3푦 − 훼푧 + 훽 = 0,

then (훼, 훽) equals (a) (−6, 7) (b) (5,−15) (c) (−5, 5) (d) (6,−17)

52. A particle acted by constant forces 4푖 + 푗 − 3푘 and 3푖 + 푗 − 푘 is displaced from the point 푖 + 2 + 3푘 to the point 5푖 + 4푗 + 푘. the total work done by the forces is (a) 30 units (b) 40 units (c) 50 units (d) 20 units

53. Let 푎 = 푖 + 푗 + 푘, 푏 = 푖 − 푗 + 2푘 and 푐 = 푥푖 + (푥 − 2)푗 − 푘. if the vector c lies in the plane of 푎 푎푛푑 푏, then 푥 equals (a) −2 (b) −4 (c) 0 (d) 1

54. The non-zero vectors 푎, 푏, 푐 related by 푎 = 8푏 and 푐 = −7푏, then the angle between 푎 푎푛푑 푐 is (a) 0 (b) 휋/2 (c) 휋 (d) 휋/4

55. If |푎| = 2 and |푏| = 3 and 푎. 푏 = 0, then |푎 × (푎 × (푎 × (푎 × 푏)))| is equal to (a) 48 (b) −48푏 (c) 48푎 (d) −48

56. If sin(휋 cos 푥) = cos(휋 sin 푥), then 푥 equals (a) sin (3/4) (b) cos (3/4)

(c) − sin (1/4) (d) − cos (3/4)

57. If cot [√cos 훼] + tan [√cos훼] = 푥, then sin푥 equals (a) tan훼 (b) cot (훼/2) (c) 1 (d) cot(훼/2)

58. The function 푓(푥) = tan (sin푥 + cos 푥) is an increasing function in (a) (0, 휋/2) (b) (−휋/2, 휋/2) (c) (휋/4,휋/2) (d) (−휋/2, 휋/4)

59. If two tangents drawn from a point P to the parabola 푦 = 4푥 are at right angles, then the locus of P is (a) 푥 = 1 (b) 2푥 + 1 = 0 (c) 푥 = −1 (d) 2푥 − 1 = 0

60. Let 푓 ∶ 푅 → 푅 be a positive increasing function with lim →∞( )( )

=

1, then lim →∞( )( )

is equal to

(a) 1 (b) 2/3 (c) 3/2 (d) 3 61. A collection of program that controls how your computer system

runs and processes information is called (a) operating system (b) compiler (c) interpreter (d) office

62. Conditional results after execution of an instruction in a micro processor is stored in (a) register (b) accumulation (c) flag register (d) flag register part of Program Status Word

63. Which software allows users to perform calculation on rows and columns of data ? (a) Word Processing (b) Presentation Graphics (c) Database Management Systems (d) Electronic Spreadsheet

64. The operating system does all the following EXCEPT (a) provide a way for the user to interact with the computer (b) manage the central processing unit (CPU) (c) manage memory and storage (d) enable users to perform a specific task such as document editing

65. The unique signal, generated by a device, that tells the operating system that it is in need of immediate attending is called an (a) action (b) event (c) interrupt (d) activity

66. Which of the following is the correct sequence of actions that takes place during the boot-up process? (a) Load operating system ? Activate BIOS ? Perform POST ? Check configuration setting. (b) Activate BIOS ? Perform POST ? Load operating system ? Check configuration settings. (c) Perform POST ? Load operating system ? Activate BIOS ? Check configuration settings. (d) Activate BIOS ? Check configuration settings ? Perform POST ? Load operating system.

67. Using Window Explorer, a plus (+) sign in front of a folder indicates (a) an open folder (b) the folder contains subfolders (c) a text file







AMIT KATIYAR

(d) a graphics file 68. A computerized system consists of

(a) Hardware, Data, Procedure, Processing, People (b) Hardware, Programs, Data, Processing, Networks (c) Hardware, Programs, Data, Networks, People (d) Hardware, Software, Procedure, Data, People

69. Which one of following helps a user in locating information over internet ? (a) URL (b) Search engine (c) Network (d) None of the above

70. The only language understood by a digital computer is called (a) Assembly language (b) High level language (c) English language (d) Binary language

71. The ability of a computer to execute multiple programs by using multiple processors simultaneously is known as (a) Multitasking (b) Multiprocessing (c) Multiprogramming (d) Multithreading

72. A goal of data mining includes which of the following ? (a) To explain some observed event of condition. (b) To confirm that data exists. (c) To analyze data for expected relationship (d) To create a new data warehouse.

73. When data changes in multiple lists and all lists and all lists are not updated, this cause (a) data redundancy (b) information overload (c) duplicate data (d) data inconsistency

74. The purpose of the primary key in a database is to (a) unlock the database (b) provide a map of the data (c) uniquely identify a record (d) establish constraints on database operations

75. Personal logs or journal entries posted on the web are known as (a) listservs (b) webcasts (c) blogs (d) subject directories

76. Which of the following places the common data elements in order from the smallest to the largest ? (a) Character, file, record, field, database. (b) Character, record, field, database, file (c) Character, field, record, file, database (d) Bit, byte, character, record, field, file, database.

77. Which of the following would most likely not be a symptom of virus ? (a) Existing program files and icons disappear (b) The CD-ROM stops functioning. (c) The Web browser opens to an unusual home page. (d) Odd messages or images are displayed icon the screen.

78. A machine having 64MB memory runs a executable which is 300MB on disk. This is achieved by (a) use of FAR pointers (b) page swapping (c) saving some variables on another machine on network (d) cannot be run on the machine

79. What causes “Thrashing” of a program ? (a) The constant swapping of program due to page faults. (b) The inability of a program to get access to a network resource. (c) saving some variables on another machine on network (d) cannot be run on the machine

80. DCOM and CORBA are (a) specifications which enable faster downloads on the net.

(b) specifications that allow objects to be accessed in a location independent manner. (d) specifications to store objects on disk, for later retrieval.

81. Testing based on External Specifications without knowledge of the system is constructed is (a) Black Box Testing (b) White Box Testing (c) Stress Testing (d) Performance Testing

82. Which is typical page layout program out of the following software product ? (a) Adobe Photoshop (b) Adobe PageMaker (c) Macromedia FreeHand (d) Macromedia Director

83. Which of the following are normally used to initialize a computer system’s hardware ? (a) Volatile memory (b) External mass memory (c) Static memory (d) Random access memory

84. Graphical diagrams used to represent different multiple perspectives of a system include (a) use-case, class and state diagrams (b) state, interaction and derivative diagrams (c) interaction, relationship and class diagrams (d) deployment, relationship and use-case diagrams

85. Which kind of lock includes a keypad that can be used to control access into areas ? (a) Cipher (b) Warded (c) Device (d) Tumbler

86. Which of the following groups consist of only output devices ? (a) Scanner, Printer, Monitor (b) Keyboard, Printer, Monitor (c) Mouse, Printer, Monitor (d) Plotter,, Printer, Monitor

87. Which is the part of a computer that one can touch and feel ? (a) Hardware (b) Software (c) Programs (d) Output

88. One of the following is a target group for the marketing of Internet Banking. (a) All the customers (b) All the educated customers (c) All the computer educated customers (d) Only creditors

89. Which of the following companies do mot manufacture chips ? (a) Microsoft (b) Motorola (c) Intel (d) HP

90. In which of the following the flow is in both the directions ? (a) Single linked list (b) Double linked list (c) queue (d) None of these

91. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/h and the time of flight increased by 30 min. the duration of the flight is (a) 1 h (b) 2 h (c) 3 h (d) 4 h

92. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. with the help of C, they completed the work in 3 days. How much is to be paid to C ? (a) Rs.375 (b) Rs.400 (c) Rs.600 (d) Rs.800

93. Two trains running in opposite directions cross a man standing on the platform in 27 s and 17 s, respectively and they cross each other in 23 s. the ratio of their speeds is (a) 1 : 3 (b) 3 : 2 (c) 3 : 4 (d) None of these

94. Ravi and Kumar are working on an assignment. Ravi takes 6 h to type 32 pages on a computer, while Kumar takes 5 h to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages ? (a) 7 h 30 min (b) 8 h (c) 8 h 15 min (d) 8 h 25 min







AMIT KATIYAR

95. How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at Rs.4.5% per annum of simple interest ? (a) 3.5 yr (b) 4 yr (c) 4.5 yr (d) 5 yr

96. The captain of a cricket team of 11 members in 26 yr old and the wicket keeper is 3 yr older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ? (a) 23 yr (b) 24 yr (c) 25 yr (d) None of these

97. A rectangular park 60m long and 40m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road ? (a) 2.91 m (b) 3m (c) 5.82m (d) None of these

98. Two pipes A and B can fill a tank in 15 min and 20 min, respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? (a) 10 min 20 s (b) 11 min 45 s (c) 12 min 30 s (d) 14 min 40 s

99. The difference between the place value and the face value of 6 in the numeral 856973 is (a) 973 (b) 6973 (c) 5994 (d) None of these

100. Shyam invested an amount of Rs.8000 in a fixed deposit scheme for 2 yr at compound interest rate 5% per annum. How much amount will shyam get on maturity of the fixed deposit ? (a) Rs.8600 (b) Rs.8620 (c) Rs.8820 (d) None of these

101. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. in what proportion should the profit at the end of one year be distributed among A, B and C ? (a) 3 : 5 : 2 (b) 3 : 5 : 5 (c) 6 : 10 : 5 (d) data inadequate

102. A boatman goes 2km against the current of the stream in 1 h and goes 1km along the current in 10min. how long will it take to go 5km in stationary water ? (a) 40min (b) 1 h (c) 1 h 15 min (d) 1 h 30 min

103. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is (a) 4 (b) 9 (c) 12 (d) 49

104. Standing on a platform, Amit told Sunita that Aligarh was more than 10km but less than 15km from there. Sunuta knew that it was more than 12 but less than 14 km from there. If both of them were correct, which of the following could be the distance of Aligarh from the platform ? (a) 11km (b) 12km (c) 13km (d) 14km

105. How many bricks, each measuring 25푐푚 × 11.25푐푚 × 6푐푚, will be needed to build a wall of 8푚 × 6푚 × 22.5푐푚 ? (a) 5600 (b) 6000 (c) 6400 (d) 7200

106. A man walks 5km towards south and then turns to the right. After walking 3km he turns to the left and walks 5km. now in which direction is he from the starting place ? (a) West (b) South (c) North-East (d) South-West

107. Pointing to a photograph Bajpai said, “He is the son of the only daughter of the father of my brother.” How Bajpai is related to the man in the photograph ? (a) Nephew (b) Brother (c) Father (d) Maternal Uncle Directions (Q.108 – 111) : Read the following passage and solve the questions based on it.

Six friends are sitting in a circle and are facing the centre of the circle. Deepa is between Prakash and Pankaj. Priti is between Mukesh and Lalit. Prakash and Mukesh are opposite to each other.

108. Who is sitting opposite to Prakash (a) Mukesh (b) Deepa (c) Pankaj (d) Lalit

109. Who is just right to Pankaj ? (a) Deepa (b) Lalit (c) Prakash (d) Priti

110. Who are the neighbours of Mukesh ? (a) Prakash and Deepa (b) Deepa and Priti (c) Priti and Pankaj (d) Lalit and Priti

111. Who is sitting opposite to Priti ? (a) Prakash (b) Deepa (c) Pankaj (d) Lalit

112. Arrange the words given below in a meaningful sequence . 1. Window 2. Walls 3. Floor 4. Foundation 5. Roof 6. Room (a) 4, 5, 3, 2, 1, 6 (b) 4, 2, 1, 5, 3, 6 (c) 4, 1, 5, 6, 2, 3 (d) 4, 3, 5, 6, 2, 3

113. If Gold is coded as HOME, COME is coded as DONE and CORD is coded as DOSE, how would you code SONS ? (a) TPOT (b) TOOT (c) TOOS (d) TONT

114. In the series 2, 6, 18, 54, …., what will be the 8th term ? (a) 4370 (b) 4374 (c) 7443 (d) 7434

115. In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together ? (a) 810 (b) 1440 (c) 2880 (d) 50400

116. Two cylindrical blocks have their diameters in the ratio 3 : 1 and their heights in the ratio 1 : 3. Their volumes would, thus, be the ratio of (a) 3 : 1 (b) 3 : 4 (c) 1 : 2 (d) 2 : 3

117. On simplifying √12 + 2√48 + 5√147 − 45√3, we get (a) 1 (b) 2 (c) 3 (d) 0

118. Twenty tickets are numbered from 1 to 20 and one of them is drawn at random, the probability that number is divisible by 3 or 5 is (a) 1/5 (b) 9/20 (c) 3/5 (d) 4/5

119. What should come in the place o the question mark (?) in the following letter series ? BXJ ETL HPN KLP (a) NHR (b) MHQ (c) MIP (d) NIR

120. A clock is set right at 5am. The clock loses 16min in 24 h. what will be the true time when the clock indicates 10pm on the 4th day ? (a) 9am (b) 11pm (c) 11am (d) 9pm




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