Indian Institue of Management 2000 M.B.A CAT - Question Paper
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period.
(4) None of the above statements is actual.
DIRECTIONS : For any activity, A, year X dominates year Y if IT business in activity A, in the year X, is greater than the IT business,
in activity A, in the year Y. For any 2 IT business activities, A & B, year X dominates year Y if
i. the IT business in activity A, in the year X, is greater than or equal to the IT business, in activity A in the
year Y,
ii. the IT business in activity B, in the year X, is greater than or equal to the IT business in activity B in the
year Y and
iii. there should be strict inequality in the case of at lowest 1 activity.
129. For the IT hardware business activity, which 1 of the subsequent is not true?
(1) 1997-98 dominates 1996-97 (2) 1997-98 dominates 1995-96
(3) 1995-96 dominates 1998-99 (4) 1998-99 dominates 1996-97
130. For the 2 IT business activities, hardware and peripherals, which 1 of the subsequent is true?
(1) 1996-97 dominates 1995-96 (2) 1998-99 dominates 1995-96
(3) 1997-98 dominates 1998-99 (4) None of these
DIRECTIONS : every ques. is followed by 2 statements A and B. ans every ques. using the subsequent instructions.
select 1; if the ques. can be answered by using 1 of the statements alone, but cannot be answered using the other
statement alone.
select 2; if the ques. can be answered by using either statement alone.
select 3; if the ques. can be answered by using both statements together, but cannot be answered using either statement
alone.
select 4; if the ques. cannot be answered even by using both statements together.
131. Consider 3 real numbers, X, Y and Z. Is Z the smallest of these numbers?
(A) X is greater than at lowest 1 of Y and Z.
(B) Y is greater than at lowest 1 of X and Z.
132. Let X be a real number. Is the modulus of X necessarily less than 3?
(A) X(X + 3) < 0 (B) X(X – 3) > 0
133. How many people are watching TV programme P?
(A) Number of people watching TV programme Q is 1000 and number of people watching both the programmes, P and Q,
is 100.
(B) Number of people watching either P or Q or both is 1500.
134. Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ?
(A) Diameter of the inscribed circle of the triangle PQR is equal to 10 cm.
(B) Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm.
135. Harshad bought shares of a company on a certain day, and sold them the next day. While buying and selling he had to pay to
the broker 1 percent of the transaction value of the shares as brokerage. What was the profit earned by him per rupee spent
on buying the shares?
(A) The sales price per share was 1.05 times that of its purchase price.
(B) The number of shares purchased was 100.
136. For any 2 real numbers
a ? b = one if both a and b are positive or both a and b are negative.
= –1 if 1 of the 2 numbers a and b is positive and the other negative.
What is (2
?
0)
(– 5
– 6)?
(A) a
b is zero if a is zero (B) a
b = b
a
137. There are 2 straight lines in the x-y plane with equations ax + by = c , dx + ey = f. Do the 2 straight lines intersect?
(A) a, b, c, d, e and f are distinct real numbers (B) c and f are non-zero.
138. O is the centre of 2 concentric circles. ae is a chord of the outer circle and it intersects the inner circle at point; b and d. c is
a point on the chord in ranging from b and d. What is the value of ac/ce?
(A) bc/cd = 1
(B) A 3rd circle intersects the inner circle at b and d and the point c is on the line joining the centres of the 3rd circle and
the inner circle.
139. Ghosh Babu has decided to take a non-stop flight from Mumbai to No-man’s-land in South America. He is scheduled to leave
Mumbai at five am, Indian Standard Time on December 10, 2000. What is the local time at No-man’s-land when he reaches there?
(A) The avg. speed of the plane is 700 kilometres per hour.
(B) The flight distance is 10,500 kilometres.
140. elaborate the ages of 2 individuals, X and Y?
(A) The age difference ranging from them is six years. (B) The product of their ages is divisible by 6.
DIRECTIONS : ans these ques. based on the data given in the table beneath
Factory Sector by kind of Ownership.
All figures in the table are in percent of the total for the corresponding column
Sector Factories Employment Fixed Capital Gross Output Value Added
Public 7.0 27.7 43.2 25.8 30.8
Central Govt. 1.0 10.5 17.5 12.7 14.1
State/local Govt. 5.2 16.2 24.3 11.6 14.9
Central & State/local Govt. 0.8 1.0 1.4 1.5 1.8
Joint 1.8 5.1 6.8 8.4 8.1
Wholly private 90.3 64.6 46.8 63.8 58.7
Others 0.9 2.6 3.2 2.0 2.4
Total 100.0 100.0 100.0 100.0 100.0
141. Suppose the avg. employment level is 60 per factory. The avg. employment in “wholly private” factories is approximately
(1) 43 (2) 47 (3) 50 (4) 54
142. Among the firms in various sectors, value added per employee is highest in
(1) Central government (2) Central and State/local governments
(3) Joint sector (4) Wholly private
143. Capital productivity is described as the gross output value per rupee of fixed capital. The 3 sectors with the higher capital
productivity, organizes in descending order are
(1) Joint, wholly private, central and state/local (2) Wholly private, joint, central and state/local
(3) Wholly private, central and state/local, joint (4) Joint, wholly private, central
144. A sector is considered “pareto efficient” if its value added per employee and its value added per rupee of fixed capital is higher
than those of all other sectors. Based on the table data, the pareto efficient sector is
(1) Wholly private (2) Joint
(3) Central and state/local (4) Others
145. The total value added in all sectors is estimated at Rs. 140,000 crores. Suppose that the number of firms in the joint sector is
2700. The avg. value added per factory, in Rs. crores, in the central government is
(1) 141 (2) 14.1 (3) 131 (4) 13.1
DIRECTIONS : ans these ques. based on the data given in the figure beneath.
FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to its GDP. The
subsequent figure displays the FEIs for choose Asian countries for the years 1997 and 1998.
1.71
5.96
10.67
2.16
5.09
0.72
9.92
5.82
4.8
2.5
0
2
4
6
8
10
12
India
China
Malaysia
S Korea
Thailand
1997 1998
146. The country with the largest change in FEI in 1998 relative to its FEI in 1997, is
(1) India (2) China (3) Malaysia (4) Thailand
147. Based on the data provided, it can be concluded that
(1) absolute value of foreign equity inflows in 1998 was higher than that in 1997 for both Thailand and South Korea.
(2) absolute value of foreign equity inflows was higher in 1998 for Thailand and lower for Chaina than the corresponding
values in 1997.
(3) absolute value of foreign equity inflows was lower in 1998 for both India and China than the corresponding value in 1997.
(4) none of the above can be inferred.
148. It is known that China's GDP in 1998 was 7% higher than its value in 1997, while India's GDP grew by 2% during the identical period.
The GDP of South Korea, on the other hand, fell by 5%. Which of the subsequent statements is/are true?
I . Foreign equity inflows to China were higher in 1998 than in 1997.
II. Foreign equity inflows to China were lower in 1998 than in 1997.
III. Foreign equity inflows to India were higher in 1998 than in 1997.
IV. Foreign equity inflows to South Korea reduced in 1998 relative to 1997.
V. Foreign equity inflows to South Korea increased in 1998 relative to 1997.
(1) I, III & IV (2) II, III & IV (3) I, III & V (4) II & V
149. China's foreign equity inflows in 1998 were 10 times that into India. It can be concluded that
(1) China's GDP in 1998 was 40% higher than that of India.
(2) China's GDP in 1998 was 70% higher than that of India.
(3) China's GDP in 1998 was 50% higher than that of India.
(4) No inference can be drawn about relative magnitudes of China's and India's GDPs.
DIRECTIONS : ans these ques. based on the table beneath.
The table indicates patterns in external transactions of Indian corporate sector during the period 1993-94 to 1997-
98. In addition, subsequent definitions hold good.
Salesi , Importsi, and Exportsi respectively denote the sales, imports and exports in year i.
Deficit in year i, Deficiti = Importsi – Exportsi.
Deficit Intensity in year i, DIi = Deficiti / Salesi.
Growth rate of deficit intensity in year i, GDIi = (DIi – DIi–1)/DIi–1.
Further, note that all imports are classified as either raw material or capital goods.
patterns in External Transactions of Indian Corporate Sector
(All figures in %)
Year 1997-98 1996-97 1995-96 1994-95 1993-94
Export Intensity* 9.2 8.2 7.9 7.5 7.3
Import Intensity* 14.2 16.2 15.5 13.8 12.4
Imported raw material/ total
cost of raw material
20.2 19.2 17.6 16.3 16
Imported capital goods/ Gross
fixed assets
17.6 9.8 11.8 16.3 19.5
* Ratio of Exports (or Imports) to sales.
150. The highest growth rate in deficit intensity was recorded in
(1) 1994-95 (2) 1995-96 (3) 1996-97 (4) 1997-98
151. The value of the highest growth rate in deficit intensity is approximately
(1) 8.45% (2) 2.15% (3) 33.3% (4) 23.5%
152. In 1997-98 the total cost of raw materials is estimated as 50% of sales of that year. The turn over of Gross fixed assets, described
as the ratio of sales to Gross fixed assets, in 1997-98 is, approximately
(1) 3.3 (2) 4.3
(3) 0.33 (4) not possible to determine
153. Which of the subsequent statements can be inferred to be actual from the provided data?
(1) During the five year period ranging from 1993-94 and 1997-98, exports have increased every year.
(2) During the five year period ranging from 1993-94 and 1997-98, imports have reduced every year.
(3) Deficit in 1997-98 was lower than that in 1993-94.
(4) Deficit intensity has increased every year ranging from 1993-94 and 1996-97.
DIRECTIONS : ans these ques. based on the data provided beneath.
The figures beneath current annual growth rate, expressed as the % change relative to the previous year, in
four sectors of the economy of the Republic of Reposia during the nine year period from 1990 to 1998. presume
that the index of production for every of the 4 sectors is set at 100 in 1989. Further, the 4 sectors
manufacturing, mining and quarrying, electricity, and chemicals, respectively, constituted 20%. 15%. 10%
and 15% of total industrial production in 1989.
Manufacturing
-5
0
5
10
15
90 91 92 93 94 95 96 97 98
Mining and Quarrying
-5
0
5
10
15
90 91 92 93 94 95 96 97 98
Electricity
0
2
4
6
8
10
90 91 92 93 94 95 96 97 98
Chemicals
0
5
10
15
90 91 92 93 94 95 96 97 98
154. Which is the sector with the highest growth during the period 1989 and 1998?
(1) Manufacturing (2) Mining and quarrying
(3) Electricity (4) Chemicals
155. The overall growth rate in 1991 of the 4 sectors together is approximately
(1) 10% (2) 1% (3) 2.5% (4) 1.5%
156. When was the highest level of production in the manufacturing sector achieved during the nine-year period 1990-1998?
(1) 1998 (2) 1995
(3) 1990 (4) Cannot be determined
157. When was the least level of production of the mining and quarrying sector achieved during the 9 year period 1990-1998?
(1) 1996 (2) 1993
(3) 1990 (4) Cannot be determined
158. The percentage increase of production in the 4 sectors, namely, manufacturing, mining & quarrying, electricity and chemicals,
taken together, in 1994, relative to 1989, is approximately
(1) 25 (2) 20 (3) 50 (4) 40
159. It is known that the index of total industrial production in 1994 was 50 percent more that in 1989. Then, the percentage
increase in production ranging from 1989 and 1994 in sectors other than the 4 listed above is
(1) 57.5 (2) 87.5 (3) 127.5 (4) 47.5
DIRECTIONS : ans these ques. based on the subsequent info.
ABC Ltd. produces widgets for which the demand is unlimited and they can sell all of their production. The
graph beneath defines the monthly variable costs incurred by the company as a function of the volume
produced. In addition, operating the plant for 1 shift outcomes in a fixed monthly cost of Rs. 800. Fixed monthly
costs for 2nd shift operation are estimated at Rs. 1200. every shift operation provides capacity for producing
30 widgets per month.
Note : avg. unit cost, AC = Total monthly costs / monthly production, and
Marginal cost, MC is the rate of change in total cost for unit change in volume produced.
Variable Cost
0
1000
2000
3000
4000
5000
6000
7000
1 six 11 16 21 26 31 36 41 46 51 56 57
Number of Units
Figure in Rs.
160. Total production in July is 40 units. What is the approximate avg. unit cost for July?
(1) 3600 (2) 90 (3) 140 (4) 115
161. ABC Ltd. is considering increasing the production level. What is the approximate marginal cost of increasing production from its
July level of 40 units?
(1) 110 (2) 130 (3) 240 (4) 160
162. From the data given it can be inferred that, for production levels in the range of 0 to 60 units.
(1) MC is an increasing function of production volume.
(2) MC is a decreasing function of production volume.
(3) initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of
production volume.
(4) None of the above.
163. Suppose that every widget sells for Rs 150. What is the profit earned by ABC Ltd. in July? (Profit is described as the excess of sales
revenue over total cost.)
(1) 2400 (2) 1600 (3) 400 (4) 0
164. presume that the unit price is Rs. 150 and profit is described as the excess of sales revenue over total costs. What is the monthly
production level of ABC Ltd. at which the profit is highest?
(1) 30 (2) 50 (3) 60 (4) 40
165. For monthly production level in the range of 0 to 30 units
(1) AC is always higher than MC.
(2) AC is always lower than MC.
(3) AC is lower than MC up to a certain level and then is higher than MC.
(4) None of the above is actual.
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