TANCET Model Question paper for MBA

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SECTION III
PROBLEM SOLVING (QUESTIONS 41 - 60)
Directions: For each of the following questions, select the choice which best answers the questions or
completes the statement

41. If m, n, o and p are real numbers, each of the following expressions equals m(nop) EXCEPT
(a) (op)(mn) (b) ponm (c) p(onm)
(d) (mp)(no) (e) (mn) (mo)(mp)

42. If the area of the triangle BCE is 8, what is the area of the square ABCD?
(a) 16 (b) 82 (c) 8 (d) 4 (e) 22

43. The diagonal of the floor of a rectangle closet is 7.5 m. The shorter side of the closet is 4.5 m. What is
the area of the closet in square meter?
(a) 37 (b) 27 (c) 54/4 (d) 21/4 (e) 5

44. John has more money than Sam but less than Bill. If the amount held by John, Sam and Bill are x, y
and z respectively, which of the following is true?
(a) z < x < y (b) x < z < y (c) y < x < z (d) y < z < x (e) x < y < z

45. If mx + ny = 12my and my ≠ 0, then x/y + n/m =
(a) 12 (b) 12 mn (c) 12m + 12y (d) 0 (e) mx + ny
46. Some students planned a picnic. The budget for food was Rs 500. But, 5 of them failed to go and thus
the cost of food for each member increased by Rs 5. How many students attended the picnic?
(a) 15 (b) 25 (c) 20 (d) 30 (e) 45
47. Which of the following must be true?
I. Any two lines which are parallel to a third line are also parallel to each other
II. Any two planes which are parallel to a third plane are parallel to each other
III. Any two lines which are parallel to the same plane are parallel to each other.
(a) I only (b) II only (c) I and II only
(d) II and III only (e) I, II and III
48. The co-ordinates of the vertices A, B of square ABCD is (2, 0) and (0, 2) respectively. What is the area
of the square ABCD?
(a) 2 (b) 4 (c) 4√2 (d) 8 (e) 8√2
49. A figure that can be folded over along a straight line so that the result is two equal halves which are
then lying on top of one another with no overlap is said to have a line of symmetry. Which of the
following figures has only one line of symmetry?
(a) Square (b) Circle (c) Equilateral Triangle
(d) Isosceles triangle (e) Rectangle
50. A labourer is paid Rs. 8 per hour for an 8 hour day and 1.5 times that rate for each hour in excess of 8
hours in a single day. If the labourer received Rs. 80 for a single day's work, how long did he work on
that day?
(a) 6 hrs 40 min (b) 9 hrs 20 min (c) 9 hrs 30 min
(d) 9 hrs 40 min (e) 10 hrs
51. The vertex of the square MNOP is located at the centre of circle O. If arc NP is 4π units long, then the
perimeter of the square MNOP is
(a) 32 (b) 32π (c) 64 (d) 64π
(e) cannot be determined
52. How many minutes will it take to completely fill a water tank with a capacity of 3750 litres if the water is
being pumped into the tank at the rate of 800 litres per minute and is being drained out of the tank at
the rate of 300 litres per minute?
(a) 3 min 36 sec (b) 6 minutes (c) 7 min 30 sec (d) 8 minutes (e) 1875 minutes
53. Triangle ABC is inscribed in a semicircle. What is the area of the shaded region above?
(a) 32π – 4 (b) 2π – 4 (c) 12π - 4 (d) 6π - 4
(e) Cannot be determined from the information given
54. Two fences in a field meet at an angle of 120º , A cow is tethered at their intersection with a 15 meter
rope. Over how many square meters can the cow graze?
(a) 50π (b) 75π (c) 80π (d)85π (e) 90π
55. In the same amount of time a new production assembly robot can assemble 8 times as many
transmissions as an old assembly line. If the new robot can assemble 'x' transmissions per hour, how
many transmissions can the new robot and the old assembly line produce together in five days of round
the clock production.
(a) 45x/8 (b) 15x (c) 135x/8 (d) 135x (e) 1080x
56. A computer is available for Rs 39,000 cash or Rs 17,000 as cash down payment followed by five
monthly installments of Rs 4,800 each. What is the rate of interest under the installment plan?
(a) 35.71% p.a (b) 37.71% p.a (c) 36.71% p.a (d) 38.71% p.a (e) 45.71% p.a
57. If Sasi has Rs. 5 more than Tarun and if Tarun has Rs. 2 more than Eswar, which of the following
exchanges will ensure that each of the three has an equal amount of money?
(a) Sasi must give Eswar Rs. 3 and Tarun Rs. 1
(b) Tarun must give Sasi Rs. 4 and Sasi must give Eswar Rs. 5
(c) Eswar must give Sasi Rs. 1 and Sasi must give Tarun Ra. 1.
` (d) Sasi must give Eswar Rs. 4 and Tarun must give Eswar Rs. 5
(e) Either Sasi or Eswar must give Tarun Rs. 7.
58. A train with 90 km/h crosses a bridge in 36 seconds. Another train 100 metres shorter, crosses the
same bridge at 45 km/h. What is the time taken by the second train to cross the bridge?
(a) 61 seconds (b) 63 seconds (c) 62 seconds (d) 64 seconds
(e) 68 seconds
59. For which of the following figures can the perimeter of the figure be determined if the area is known?
I. a trapezoid
II. a square
III. an equilateral triangle
IV. a parallelogram
(a) I only (b) II only (c) III only
(d) II and III only (e) I and III only
60. Two crystal spheres of diameter x/2 are being packed in a cubic box with a side of x. If the crystal
spheres are in the box and the rest of the box is completely filled with packing powder, approximately
what proportion of the box is filled with packing powder? (The volume of a sphere of radius r is 4/3πr³)
(a) 11/10 (b) 1/8 (c) ½ (d) ¾ (e) 7/8
SECTION - IV
DATA SUFFICIENCY (QUESTIONS 61 - 80)
Directions: Each question below is followed by two statements numbered as (a) and (b). You have to
determine whether the data given in the statements is sufficient for answering the question. Use the data
given, plus your knowledge of mathematics and every day facts, to mark your answer as
1. If statement (a) alone is sufficient to answer the question, but statement (b) alone is not sufficient.
2. If statement (b) alone is sufficient to answer the question, but statement (a) alone is not sufficient.
3. If both statements together are needed to answer the questions, but neither statement alone is
sufficient
4. If either statement (a) or (b) by itself is sufficient to answer the question.
5. If not enough facts are given to answer the question.
Directions:
Each of the following problems has a question and two statements which are labeled (1) and (2) in which
certain data are given. You have to decide whether the data given in the statements are sufficient for
answering the questions. Using the data given in the problems plus your knowledge of mathematics and every
day facts, choose:
1. If you can get the answer from (1) ALONE but not from (2) alone
2. If you can get the answer from (2) ALONE but not from (1) alone.
3. If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
4. If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
5. If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more data
61. Find the value of the smaller acute angle of a right angled triangle.
1. The hypotenuse is twice the length of the shorter arm
2. The larger acute angle is 60º
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
62. What is the volume of soil required to fill a flower box?
1. The box is 80 cm wide
2. The box is 1 metre long
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
63. How long will it take for two pipes to empty or fill a tank that is 3/4 full?
1. Pipe A can fill the tank in 12 minutes
2. Pipe B can empty it in 8 minutes.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
64. How much did a man earn in 2002?
1. He earned Rs. 6,500 in 2003 which is 12.5 % more than he earned in 2002.
2. His wife (who earned half the amount he earned) and he earned Rs. 8666.67 together in 2002
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2)
alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
65. How long is a bridge that crosses a river which is 250 metres wide?
1. One bank of the river holds 1/5 of the bridge.
2. The other bank holds 1/6 of he bridge.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
66. What is the average age of the children in a class?
1. The age of the teacher is as many years as the number of children.
2. The average age increases by 1 year if the teacher’s age is also included.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2)
alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
67. A rectangular field is 40 metres long. Find the area of the field.
1. A fence around the entire boundary of the field is 140 meters long
2. The field is more than 20 metres wide.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data
68. A man, 2 metres tall is standing near a light on the top of a pole. What is the length of the shadow of by
the man?
1. The pole is 6 metres high
2. The man is 4 metres from the pole.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
69. Working at a constant rate, it takes worker U, 3 hours to fill up a ditch with sand. How long would it take
for worker V to fill up the same ditch working alone?
1. Working together U and V can fill the ditch in 1 hour 52.5 minutes
2. In any length of time worker V" fills in only 60% as much as worker U does in the same time.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you an get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
70. Mohan is 6 years older than Sohan. What will be the sum of their present ages?
1. After 6 years the ratio of their ages will be 6: 5
2. The ratio of their present ages is 5: 4
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
71. Train T leaves town 'A' for town 'B' and travels at a constant speed. at the same time train 'S' leaves
town 'B' for town 'A' and also travels at a steady speed. Town 'C' is between A and B. Which train is
traveling faster?
Towns A, C and B lie on a straight line
1. Train S arrives at town C before train T
2. C is closer to A than to B.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
72. AB and CD are both chords of the circle with centre O. Which is longer AB or CD?
1. Arc AEB is smaller than arc CFD.
2. The area of the circular segment CAEBD is larger than the area of circular segment ACFDB
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
73. Did the XYZ Corporation have higher sales in 1998 than in 1999?
1. In 1998 the sales were twice the average (arithmetic mean) of the sales in 1998, 1999 and 1970.
2. In 1970, the sales were three times those in 1999.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
74. A sequence of numbers a1, a2 , a3 , ................ is given by the rule an
2 = an+1. Does 3 appear in the
sequence?
1. a1 = 2 2. a4 = 256.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
75. What is the value of x + y?
1. x – y = 4, 2. 3x + 3y = 4
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
76. x and y are integers that are both less than 10. Is x greater than y?
1. x is a multiple of 3 2. y is a multiple of 2
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
77. Are two triangles congruent?
1. Both triangles are right triangles.
2. Both triangles have the same perimeter.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more data
78. If both conveyer belt A and conveyer belt B are used, they can fill a hopper with coal in one hour. How
long will it take for conveyer belt A to fill the hopper without conveyer belt B?
1. Conveyer belt A moves twice as much coal as conveyer belt B.
2. Conveyer belt B would take 3 hours to fill the hopper without belt A.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
79. A fly crawls around the outside of a circle once. A second fly crawls around the outside of a square
once. Which fly travels farther?
1. The diagonal of the square is equal to the diameter of the circle.
2. The fly crawling around the circle took more time to complete his journey than the fly crawling
around the square.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
80. What is the difference between the shares of profits of Rekha and Nutan out of a profit of Rs 6,000 at
the end of the year?
1. Rekha invested Rs.50,000 and withdrew Rs 1,000 after4 months.
2. For the last 8 months, Nutan’s capital was 125% of Rekha’s.
(a) If you can get the answer from (1) ALONE but not from (2) alone
(b) If you can get the answer from (2) ALONE but not from (1) alone.
(c) If you can get the answer from BOTH (1) and (2) TOGETHER, but not from (1) alone or (2) alone
(d) If EITHER statement (1) ALONE OR statement (2) ALONE is sufficient.
(e) If you CANNOT get the answer from statements (1) and (2) TOGETHER, but need even more
data.
Directions: (Questions 81 – 100)
In each of the following sentences four words or phrases have been underlined. Only one underlined part in
each sentence is not acceptable in Standard English. Pick up that part - (1) or (2) or (3) or (4). If there is no
error, mark (5).
81. Many scientists are alarmed over the interest in such pseudo-scientific topics as ESP, flying saucers
and the occult, fearing that it may herald a new dark age of gullibility, ignorance, and thinking in
superstitious ways. No Error.
(a) Many scientists are alarmed (b) Fearing that (c) It may herald
(d) Thinking in superstitious ways (e) No Error
82. Although the theory of continental drift was not widely accepted until the mid-twentieth century, the
basic concept has been described as early as 1620. No Error.
(a) Was not widely (b) Accepted until (c) Has been
(d) As early (e) No Error
83. In the diagnosis of psychiatric ailments, it is essential that the practitioner approach each subject
without pre-judgments as relates to the nature or causes of the disorder. No Error.
(a) Diagnosis (b) It is essential that (c) Approach
(d) As relates (e) No Error
84. Adaptive radiation is the process whereby a given species, through gradual adaptation in several
locations to a variety of different habitats , eventually become separate species with distinct
characteristics and behaviors. No error
(a) The process whereby (b) Through gradual adaptation (c) Of different habitats
(d) Eventually become (e) No Error
85. Foreign auto makers have not only made major inroads into the Indian market: manufacturers of other
consumer goods have challenged the dominance of Indian Industry as well. No Error.
(a) Have not only made (b) Inroads into (c) Of other
(d) As well (e) No Error
86. After six months of study, the commission announced that some of the money previously allocated for
water supply projects be spent instead on pollution control measures. No Error
(a) Six months of study (b) Some of the money (c) Previously allocated
(d) Be spent (e) No Error
87. Jo is the one who seems convinced that we are trying to harm her irregardless of how much we have
done for her benefit. No Error
(a) Who (b) Are (c) Irregardless
(d) How much (e) No Error
88. The advice we had gotten had come just at the right time in our dealings in this most unfortunate
matter. No Error
(a) Advice (b) Gotten (c) Just
(d) In (e) No Error
89. His conclusions are different from the ones that you and I am prepared to accept, even under the
present circumstances. No Error
(a) From (b) Ones (c) Am
(d) Accept, even (e) No Error
90. If anyone in a position of genuine managerial responsibility approved the project, they are largely to
blame for it subsequent failure. No Error
(a) A position (b) Approved (c) They are
(d) For its (e) No Error
91. The three advantages of his plan are : its simplicity, It can be applied immediately, and its probable
popularity among the local population. No Error
(a) Of his plan are (b) It can be (c) Immediately, and
(d) Among (e) No Error
92. There was scarcely no time given to think about the problem before the bell rang for the end of class.
No Error
(a) Was (b) No (c) Given (d) Before (e) No Error
93. Everyone in the family looks well in this family portrait except uncle Sam and me. No Error
(a) Looks (b) well (c) Except (d) Me (e) No Error
94. Realizing how much had been expected of me, my confidence grew until I was able to face my
adversaries boldly. No Error
(A) Had been (b) Of Me (c) My Confidence (d) boldly (e) NO Error
95. The situation would have been far different than it is today had Ram listened to the good advice
given him by his tutor. No Error
(a) Would have been (b) Far different than (c) Had
(d) given Him (e) No Error
96. If you would have come earlier, as I had advised, you would never have been missed by that crude
trick. No Error
(a) Would have (b) Had (c) Would
(d) Missed (e) No Error
97. Send it back to whomever you think should receive it; I no longer care whose it is. No Error
(a) Whomever (b) Should receive it (c) No longer
(d) Whose (e) No Error

98. I am sure that it would be all right if no one but him was allowed to tender their resignation. No Error
(a) It would (b) But him (c) Was allowed
(d) Their (e) No Error

99. Having been delayed by unfavorable weather, it was not possible for our plane to arrive in time for the
connecting flight. No Error
(a) Been delayed (b) Unfavorable (c) Was
(d) In time (e) No Error

100. The workers were enthused over the prospects for a wage increase. No Error
(a) Were (b) Enthused (c) Over
(d) Wage (e) No Error
TANCET (MBA)


Answer Key
41. (e) 42. (a) 43. (b) 44. (c) 45. (a) 46. (b) 47. (c) 48. (d)
49. (d) 50. (b) 51. (c) 52. (c) 53. (b) 54. (b) 55. (d) 56. (c)
57. (a) 58. (b) 59. (d) 60. (e) 61. (d) 62. (e) 63. (c) 64. (d)
65. (e) 66. (a) 67. (a) 68. (c) 69. (d) 70. (d) 71. (c) 72. (d)
73. (e) 74. (d) 75. (b) 76. (e) 77. (e) 78. (d) 79. (e) 80. (d)
81. (e) 82. (c) 83. (d) 84. (d) 85. (b) 86. (c) 87. (c) 88. (a)
89. (c) 90. (c) 91. (b) 92. (b) 93. (d) 94. (a) 95. (d) 96. (b)
97. (d) 98. (d) 99. (d) 100. (a)