TANCET 2007 Question Paper for MCA

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TANCET MCA 2007 Question Paper
1. Arrange the following fractions in decreasing 7. The average monthly expenditure of a family was Rs.
(descending) order 2,200 during the first 3 months, Rs. 2,250 during the
next 4 months and Rs. 3,210 during the last 5 months of
5 3 5 6 the year. If total savings during the year was Rs. 1,260.
(1) , , ,
6 4 8 7 Find the average monthly income.
(1) Rs. 1,500 (2) Rs. 2,800
1 3 3 21
(2) , , , (3) Rs. 2,000 (4) Rs. 2,805
2 5 10 10
8. The average temperature of June, July and August was
7 5 17 1
(3) , , , 31 degree centigrade. The average temperature of July,
12 16 36 3 August and September was 30 degree centigrade. If
the temperature of June was 29 degree centigrade. Find
2 5 22 13
(4) , , , the temperature of September.
9 177 1091 558
(1) 24 (2) 28
2. A vessel full of water weighs 16.5 kg. When the vessel
(3) 26 (4) None of the above
1
is full, it weighs 5.25 kg. Find the weight of empty 9. The average age of 40 students in a class is 15 years.
4
When 10 new students are admitted, the average is
vessel.
increased by 0.2 year. Find the average age of the new
(1) 1.5 kg (2) 2.0 kg students.
(3) 1.3 kg (4) 2.5 kg (1) 14 (2) 18

3. 36 is 6% of what number? (3) 16 (4) 20

(1) 800 (2) 600 10. What must be subtracted from each term of the ratio
3 : 7 so that the ratio becomes 2 : 5
(3) 1200 (4) 400
(1) 1 (2) 4
4. The ratio of salary of a worker in July to that in June
(3) 2 (4) None of the above
1 1
was 2 :2 . By what % was the salary of July more 11. The ratio of the number of ladies to gents at a party
2 4
than the salary of June? was 1 : 2, but when 2 ladies and 2 gents left, the ratio
became 1 : 3. How many people were originally present
1 in the party?
(1) 11 (2) 12
9
(1) 12 (2) 14
(3) 13 (3) None of the above
(3) 20 (4) None of the above
5. A reduction of Rs. 2 per kg enables a man to purchase
4 kg more sugar for Rs. 16. Find the original price of 12. The sum of the present age of A, B and C is 90 years.
sugar. Six years ago, their age were in the ratio 1 : 2 : 3. What
is the present age of C?
(1) Rs. 3 (2) Rs. 5
(1) 36 years (2) 44 years
(3) Rs. 4 (4) None of the above
(3) 48 years (4) 48 years
6. 30 pens and 75 pencils were purchased for Rs. 510. If
the average price of a pencil was Rs. 2, find the average 13. Two sums of money are in the ratio of 2 : 5. If the
price of the pen second sum is Rs. 95, find the first sum.
(1) Rs. 12 (2) Rs. 14 (1) 38 (2) 36
(3) Rs. 20 (4) None of the above (3) 40 (4) None of the above

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14. In a Business A, B and C invested Rs. 380, Rs. 400 and 22. A person purchases 36 oranges per rupee and suffers
Rs. 420 respectively. Divide a net profit of Rs. 180 among a loss of 4%. Find how many oranges per rupee he is
the partners required to purchase to have a gain of 8%?
(1) 57 : 60 : 63 (2) 60 : 60 : 60 (1) 32 (2) 30
(3) 62 : 28 : 50 (4) None of the above (3) 28 (4) None of the above

15. In what proportion should one variety of oil at Rs. 9.50 23. On what sum of money lent out at 9% per annum simple
per kg be mixed with another at Rs. 10 per kg to get a interest for 6 years does the simple interest amount to
mixture worth Rs. 9.60 per kg. Rs. 810?

(1) 4 : 1 (2) 6 : 1 (1) Rs. 1,200 (2) Rs. 1,400
(3) 3 : 1 (4) None of the above (3) Rs. 4,500 (4) None of the above

16. One litre of water is added to 5 litres of 20% solution of 24. What sum of money lent out at a compound interest
alcohol and water. What is the final strength of alcohol? will amount to Rs. 968 in 2 years at 10% per annum
interest being charged annually?
2
(1) 16% (2) 16 % (1) Rs. 800 (2) Rs. 600
3
(3) Rs. 1,200 (4) None of the above
(3) 18% (4) None of the above
25. Find the distance covered by a man walking for 12
17. Six kilograms of tea at Rs. 6 per kg and 4 kg of tea at Rs.
minutes at a speed of 3.5 km/hour.
7 per kg are mixed together and the mixture is sold at
10% profit. What is the selling price per kg of the (1) 700 metres (2) 800 metres
mixture? (3) 1200 metres (4) None of the above
(1) Rs. 7.04 (2) Rs. 7
Directions for Questions 26 to 29 :
(3) Rs. 8 (4) None of the above
Use the following passage for Questions 26 to 29 :
18. If 120 men can do a job in 100 days, in how many days
will 150 men do it? An employee has been assigned the tasks of allotting
officers to six of the staff members. The offices are numbered
(1) 60 days (2) 80 days 1–6. The offices are arranged in a row and they are separated
(3) 120 days (4) None of the above from each other by six foot high dividers. Hence voices,
sounds and cigarette smoke flow easily from one office to
19. One thousand men in a fortress have provisions for 12 another.
days. How long will the provisions last if 200 more Miss. Robert’s needs to use the telephone quite often
men join them? throughout the day. Mr. Mike and Mr. Brown needed
(1) 14 days (2) 12 days adjacent offices as they need to consult each other often
while working. Miss. Hardy is a senior employee and has to
(3) 10 days (4) 16 days be allotted office number 5, having the biggest window.
20. A and B can do a job alone in 20 days and 30 days Mr. Donald requires silence in the offices next to his.
respectively. In how many days the job will be finished Mr. Tim, MR. Mike and Mr. Donald are all smokers. Miss
if A and B work together? Hardy finds tobacco smoke allergic and consecutively the
offices next to hers to be occupied by non­smokers.
(1) 10 (2) 14
Unless specifically stated all the employees maintain
(3) 12 (4) 18 an atmosphere of silence during office hours.
21. There is a leak in the bottom of a cistern. Before the 26. The ideal candidate to occupy the office farthest from
1 Mr. Brown would be
leak, it could be filled in 4.5 hours. It now takes hour
2 (1) Miss. Hardy (2) Mr. Mike
longer. If the cistern if full, how long would the leakage
empty the full cistern? (3) Mr. Tim (4) Mr. Donald

(1) 40 hours 27. The three employees who are smokers should be
(2) 45 hours seated in the offices?
(3) 42 hours (1) 1, 2 and 4 (2) 1, 2 and 3
(4) None of the above (3) 1, 2 and 6 (4) 2, 3 and 6

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28. The ideal office for Mr. Mike would be Directions for Questions 34 to 35 :
(1) 2 (2) 6 (M, N, O and P are all different individuals)
(3) 3 (4) 1 I. M is the daughter of N.
29. In the event of what occurrence, within a period of one II. N is the son of O.
month since the assignment of the offices, would one III. O is the father of P.
or more employees put a request for a change in office
forth? 34. Among the following statements, which is true?
(1) Mr. Donald quitting smoking (1) If B is the daughter of N then M and B are sisters
(2) Mr. Tim taking over the duties formerly taken care (2) O is the uncle of M
of by Miss. Robert. (3) If C is the granddaughter of O, then C and M are
(3) Mr. Brown suffering from laryngitis sisters

(4) The installation of a noisy teletype machine by (4) P and N are brothers
Miss. Hardy in her office 35. Which among the following statements is
contradictory to the above premises?
Directions for Questions 30 to 33 :
(1) O has three children
Nine individuals ­ Z, Y, X, W, V, U, T, S and R are the (2) M has one brother
only candidates, who can serve on three committees ­ A, B (3) P is the father of M
and C, and each candidate should serve on exactly one of
(4) Another party C, could be the mother of M
the committees.
Committee A should consist of exactly one member more
Directions for Questions 36 to 38 :
than committee B. It is possible that there are no members of
committee C. Among Z, Y and X none can serve on committee A bus has exactly six stops on its route. The bus first
A. Among W, V and U none can serve on committee G. Among stops at stop one and then at stops two, three, four, five and
T, S and R none can serve on committee C. six respectively. After the bus leaves stop six, the bus turns
and returns to stop one and repeats the cycle. The stops are
30. In case T and Z are the individuals serving on at six building that are, in alphabetical order L, M, N, O, P
committee B, how many of the nine individuals should and Q.
serve on committee C?
P is the third stop.
(1) 3 (2) 4 M is the sixth stop.
(3) 5 (4 ) 6 The stop O is the stop immediately before Q.
N is the stop immediately before L.
31. Of the nine individuals, the largest number that can
serve together on committee C is 36. In case N is the fourth stop, which among the following
(1) 9 (2) 8 must be the stop immediately before P?
(1) O (2) N
(3) 7 (4) 6
(3) L (4) Q
32. In case any of the nine individuals serves on committee
C, which among the following should be the candidate 37. In case L is the second stop, which among the
to serve on committee A? following must be the stop immediately before M?
(1) L (2) P
(1) Z (2) Y
(3) Q (4) O
(3) W (4) S
38. In case passenger gets on the bus at O, rides past one
33. Among the following combinations which could of the stops, and gets off at P, which of the following
constitute the membership of committee C? must be true?
(1) X and U (2) Y and T (1) O is stop one (2) Q is stop three
(3) Y, X and W (4) Z, X, U and R (3) P is stop four (4) N is stop five

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45. A fair coin is to be tossed 8 times. What is the
39. What is the greatest integer that divides p 4 –1 for
probability that more of the tosses will result in heads
every prime number p greater than 5? than will result in tails?
(1) 240 (2) 30 1 93
(1) (2)
(3) 120 (4) 48 4 256
87 1
40. The co­efficient of x3 in the expansion of (3) (4)
256 3
10
(1 + x )( 2 + x ) is
3 2
46. The function f ( x, y ) = xy - x 3 - y 3 has a relative
(1) 31 (2) 214 maximum at the points
(1) (0, 0) (2) (1, 1)
(3) 3C3 + 10C1 (4) 29 *10C1
æ1 1ö æ1 1ö
41. How many continuous real­valued functions f are there (3) ç , ÷ (4) ç , ÷
2 è2 2ø è 3 3ø
with domain (–1, 1) such that éë f ( x ) ùû = x 2 for each x
in (–1, 1)? 47. How many integers from 1 to 1000 are divisible by 30
but not by 16
(1) One (2) Two
(1) 31 (2) 32
(3) Three (4) Four
(3) 29 (4) 38
42. The inside of a certain water tank is cubic measuring
10 feet on each edge and having vertical sides and no 48. When 20 children in a classroom line up for lunch,
top. Let h (t) denote the water level in feet, above the Ramu insists on being somewhere ahead of Somu. If
floor of the tank at time t seconds. Starting at time t = 0, Ramu’s demand is to be satisfied, in how many ways
water pours into the tank at a constant rate of 1 cubic can the children line up?
foot per second and simultaneously, water is removed 20!
from the tank at a rate of 0.25 h (t) cubic feet per second. (1) (2) 20!
2
As t ® ¥, what is the limit of the volume of the water
in the tank? 19!
(3) 19! (4)
2
(1) 600 cu feet (2) 1000 cu feet 49. Which of the following will NOT be a root of the
(3) 400 cu feet (4) The limit does not exist
polynomial in x of the form 9 x5 + ax3 + b, where a and
43. Let x and y be uniformly distributed, independent 6 are integers?
random variable on [0, 1]. The probability that the
(1) –9 (2) –5
1
distance between x and y is less than is 1 1
2 (3) (4)
2 1 4 3
(1) (2) 50. If S is a non­empty finite set with k elements then the
3 4
3 1 number of one­to­one functions from S onto S is
(3) (4)
4 3 (1) k! (2) k 2
44. For 0 < t < p , will the matrix given below has distinct (3) 2k (4) 2k +1
complex eigen values l1 and l2 . For what value of t,
51. What comes in this series?
0 < t < p , is l1 + l2 = 1?

cos t ­ sin t
sin t cos t
p p
(1) (2)
3 6
p p
(3) (4) (1) (2) (3) (4)
2 4

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52. What comes in this series? Directions : Question numbers 56 to 60 are based on
the following formation :

: :: : i. A, B, C, D, E, F and G are sitting around a circle
and are facing the center
ii. G is second to the left of C, who is immediate left
of F
iii. A is third to the left of E
iv. B is between D and E

(1) (2) (3) (4) 56. Which of the following is true?
(1) B is second to the right of G
53. What comes in this series?
(2) D is second to the left of E
(3) A is to the immediate right of G
X X X (4) C is fourth to the left of B

57. Which of the following has the middle person sitting
between the remaining two?
(1) EFB (2) DEB
X
X X X (3) GDA (4) None of the above

58. Which of the following is false?
(1) (2) (3) (4) 1. F is third to the right of D
2. B is to the immediate left of D
54. What comes in this series?
3. G is to the immediate right of D
4. A is fourth to the right of E

59. Which of the following is the position of F?
(1) To the immediate left of C
(2) Fourth to the right of D
(3) Between A and E
(4) To the immediate right of A

60. Which of the following pairs has the first person sitting
(1) (2) (3) (4) to the immediate left of the second person?
(1) BE (2) GD
55. What comes in this series?
(3) CA (4) DG

61. Which of the following have the same relationship
between them as is there between OT : PS?
(1) PN : PM (2) BE : FC
(3) IL : HK (4) None of the above

62. A is the uncle of B, who is the daughter of C and C is
the daughter­in­law of P. How is A related to P?
(1) Son (2) Son­in­law
(1) (2) (3) (4) (3) Brother (4) Data inadequate

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63. If in a certain code, GLAMOUR is written as 72. (1) Madam (2) Eye
‘IJCNMWP’AND ‘MISRULE’is written as ‘OGUSSNC’ (3) Hand (4) Malayalam
then how will ‘TOPICAL’ be written in that code?
73. By looking in the mirror, it appears that it is 6 : 30 in the
(1) VMRJACJ (2) VNRJABJ
clock. What is the real time?
(3) VMRHACJ (4) VMRJECN
(1) 6 : 30 (2) 5 : 30
63. If in a certain code, GLAMOUR is written as
(3) 6 : 00 (4) 5 : 00
‘IJCNMWP’ and ‘MISRULE’ is written as ‘OGUSSNC’
then how will ‘TOPICAL’ be written in that code? 74. A man walks 6 km towards the north, then turns towards
(1) VMRJACJ (2) VMRJABJ his left and walks for 4 km. He again turns left and
walks for 6 km. At this point, he turns to his right and
(3) VMRHACJ (4)VMRJECN walks for 6 km. How many km and in what direction is
64. Waves are related to Air in the same way as Ripples he from the starting point?
are related to (1) 10 km and West
(1) World (2) Water (2) 6 km and South
(3) Storm (4) Smoke (3) 4 km and South
65. Earth : Axis : Wheel :? (4) 8 km and West
(1) Tyre (2) Care 75. Find out from the set of numbers that does not belong
to the group for lack of common property
(3) Road (4) Hub
(1) 22, 4, 5 (2) 34, 4, 8
66. Pava is bigger than Java. Java is bigger than Mava. (3) 37, 4, 9 (4) 54, 4, 13
Rava is not as big as Sava, but is bigger than Java.
Mava is not as big as Java. Who is the smallest? 76. What does ISP stand for?
(1) Java (2) Pava 1. Internet Standard protocol
(3) Rava (4) Mava 2. Integrated Standard Processing

67. If Ritu runs less faster than Gopa and Gopa runs as 3. Internet Service Provider
fast but not faster than Masha, then Masha runs 4. International Services Provision
(1) As fast as Ritu
77. In the email ID checkthisout.server.com, checkthisout
(2) Faster than Gopa part is known as
(3) Faster than Ritu (1) URL (2) User ID
(4) Less faster than Ritu (3) Network address (4) com address
68. Poles : Magnet :: ………… : Battery 78. Which of the following are considered as the three
(1) Cells (2) Power categories of e­commerce?

(3) Terminals (4) Energy 1. Electronic markets, Electronic Data Interchange
and Internet Commerce
69. ACFJ : ZXUQ :: EGJN :? 2. Internet, web services and search engines
(1) VUSQ (2) VTRP 3. Web serves, corporate servers and share markets
(3) VRPM (4) VTQM 4. E­mails, e­security and e­transactions
Directions Questions 70 to 72 : Select the one which 79. Which of the following poultry farms has deployed
is different from the other three responses: OSS/Linux to meet its daily computing?
70. (1) BFIK (2) DHKM (1) Red hat Poultry Farms
(3) MQTV (4) PRVX (2) Microsoft Poultry Farms
71. (1) UAVBWC (2) CHIDJE (3) Reliance Poultry Farms
(3) XLYMZN (4) PEQFRG (4) Suguna Poultry Farms

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80. What is RFID? 88. Which one among the following is not a Router
manufacturer?
(1) Radar Frequency Intensive Devices
(1) Jumper systems (2) CISCO
(2) Radio Frequency Identification
(3) Susi (4) Jumper and CISCO
(3) Redundant Fault Indicating Devices
(4) Rapid Fault Identifying Devices 89. The system software that translates high level language
to machine language is called
81. The advertising company that Google purchased
(1) Interpreter (2) Compiler
recently is
(3) Assembler (4) Translator
(1) Rainbow show (2) Bridge game
90. Flash memory is
(3) Mouse click (4) Doubleclick
(1) a non­volatile memory
82. What is CMM?
(2) an expensive memory
(1) Cooperative Management Model (3) a mass storage memory
(2) Coexisting Manual Method (4) used to store frequently used data
(3) Capability Maturity Model
91. A database is
(4) Consistent Modeling Methodology
(1) the basis of all data stored in the computer
83. Which one among the following is not an antivirus (2) structured collection of records
company?
(3) an organized collection of system data
(1) McAfee (2) Norman
(4) a repository of information from the internet
(3) Symantec (4) Microsoft
92. Which one of the following search engine is for kids?
84. Intel’s latest processors are
(1) Northern Light (2) Cyber­Sleuth
(1) multi­core processors (3) Zoom (4) Bang
(2) embedded processors
93. Natural Language Processing (NLP) is a subfield of
(3) DSP processors
(1) Linguistics and computing
(4) Graphics processors
(2) AI and linguistics
85. Bluetooth technology helps to transfer files between (3) Databases and linguistics
(1) Clients and web servers (4) Internet and linguistics
(2) Multiple Internet servers 94. Expand w3c
(3) Multiple mobile devices (1) web computing, commercializing and canvassing
(4) Sensor nodes and web servers (2) web conferences, computing and corporates
86. What is a firewall? (3) web computing ver. 3
(4) world wide web consortium
(1) It protects the network from unwanted traffic
(2) It prevents the system from generating excessive 95. Which one of the following is not a programming
heat language?
(3) It detects the occurrence of any fault in the (1) Rube (2) Small talk
functioning of the network (3) Python (4) Snake
(4) It analyses the failure rate of the system
96. What is WSDL?
87. The company that has proposed to make IP phones in (1) Web Specification and Description Logic
Chennai is
(2) Web Support and Distribution Limited
(1) Norton (2) CISCO (3) Web Systems and Data Labs
(3) IBM (4) Intel (4) Web Services Definition Language

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97. Which one of the following were used in 1st 99. USB
generation computers?
(1) Uniform System Bus
(1) Vacuum tubes
(2) Utility and Support Board
(2) Transistors
(3) Universal Synchronous Bus
(3) Integrated circuits
(4) Universal Serial Bus
(4) Microprocessors
100. IPods are
98. IEEE 802.11 denotes standards for
(1) mobile storage devices
(1) Ethernet
(2) small interface devices
(2) Wireless LAN/WAN
(3) portable media players
(3) Campus network
(4) tiny computing devices
(4) Global network

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KEY to Question Paper
1. 4 26. 4 51. 4 76. 3
2 1 27. 2 52. 4 77. 2
3. 2 28. 3 53. 3 78. 4
4. 1 29. 2 54. 2 79. 1
5. 3 30. 2 55. 3 80. 2
6. 1 31. 4 56. 3 81. 4
7. 2 32. 4 57. 4 82. 3
8. 3 33. 1 58. 1 83. 4
9. 3 34. 1 59. 2 84. 1
10. 4 35. 2 60. 4 85. 3
11. 1 36. 4 61. 4 86. 1
12 3 37. 3 62. 4 87. 2
13. 1 38. 3 63. 1 88. 3
14. 1 39. 4 64. * 89. 2
15. 1 40. * 65. 4 90. 1
16. 2 41. 2 66. 4 91. 2
17. 1 42. 2 67. 2 92. 2
18. 2 43. 2 68. 3 93. 2
19. 3 44. 1 69. 4 94. 4
20. 3 45. 2 70. 4 95. 4
21. 2 46. 4 71. 2 96. 4
22. 4 47. 3 72. 4 97. 1
23. 4 48. * 73. 2 98. 2
24. 1 49. 3 74. 1 99. 4
25. 1 50. 1 75. 3 100. 3

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Further details for Answers
1. (4) 5. (3)
Let the price of the sugar per kg. be x.
5 6
In choice (1) <
5 7 Reduced price = x–2

\ (1) is not correct. 16 16
Given - =4
x-2 x
1 21
In (2) < é 1 1ù
2 10 16 ê - ú=4
ëx -2 xû
\ (2) is not correct.
1 1 1
7 17 - = …(1)
In (3) < x-2 x 4
12 36
Check through choices :
\ (3) is not correct
4 satisfies eqn. (1)
\ Required answer is (4)
\ Required choice is (3).
2. (1)
6. (1)
Let the weight of the vessel be x and weight of the
Let the average price of the pen be x.
water be w.
Then
Then x + W = 16.5 …(1)
(2 × 75) + (x × 30) = 510
W
x+ = 5.25 Þ 30x = 510 – 150 = 360
4
Þ 4 x + W = 4 ´ 5.25 …(2) \ x = 12

Solving (1) and (2) 7. (2)

3x = 4 × 5.25 – 16.5 Total income = 3 × 2200 + 4 × 2250 +
5 × 3210 + 1260
= 21 – 16.5 = 4.5
= 16050 + 6600 + 9000 + 1260
4.5
\x = = 1.5 kg. = 32910
3
32910
\ Weight of the empty vessel = 1.5 kg Average = = 2742.5
12
3. (2) 8. (3)
6 June + July + August = 3 × 31 = 93 …(1)
´ x = 36 Þ x = 600
100 July + August + Sep. = 3 × 30 = 90 …(2)
4. (1) (1) – (2) Þ
1 1 1 June – September = 3
2 -2
2 4 ´ 100 = 4 ´100 = 11 1
Required % = 1 9 9 September = June – 3
2
4 4 = 29 – 3 = 26

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9. (3) 11. (1)
Total age of 40 students = 40 × 15 = 600 Let the number of ladies be x and gents be 2x.
Total age of 50 students = 50 × 15.2 = 760
x-2 1
Given =
Total age of 10 new students = 760 – 600 = 160 2x - 2 3

160 Þ 3x – 6 = 2x – 2
\ Average age of new students = = 16
10 Þ x=4
10. (4) \ Number of ladies = x = 4

3- x 2 \ Number of gents = 2x = 8
=
7-x 5 Total = 12

Þ 15–5x = 14 – 25

1
Þ x=
3

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