133. Which point in the above figure shows that the two commodities cannot be produced with
given technology?
(a) P (b) S
(c) Q (d) None of the above
134. Which point in above figure shows that the resources are not being utilized fully?
(a) P (b) Q
(c) S (d) R
135. Which point or points in above figure show that outputs are being produced at least cost
combination of resources?
(a) P (b) Both P and Q
(c) Q (d) Both R and S
Read the following paragraph and answer questions 136-137.
It is the outcome of the modern economic word. It came into force after 1991. Liberalisation
and de-regulation of the economy are essential preconditions for successful implementation
of this policy
136. What is privatization ?
(a) It refers to the disposal of private sector’s equity in the market
(b) It refers to the transfer of assets from public to private sector ownership
(c) It means integrating the domestic economy with the world economy
(d) None of the above
137. Which of the following is false about disinvestments?
(a) As a result, the total realization of the government from various rounds of disinvestments
has been much below the target
(b) The disinvestments was started in 1991-92
(c) Adequate efforts were not made to build up the much needed linkages between the public
enterprises and the capital market
(d) None of the above
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MODEL TEST PAPER - 16
A competitive firm sells as much as of its product it chooses at a market price of Rs. 100 per
unit. Its fixed cost is Rs. 300 and its variable costs (in rupees) for different levels of production
are shown in the following table. Use table 1 to answer questions 138-141.
Table No.1
Qty. Variable Fixed Cost Total Cost Average Average Marginal
cost Varibale cost Total Cost Cost
0 0 – – – – –
5 270
10 490
15 720
20 1000
25 1370
30 1870
35 2540
40 3420
45 4550
50 5970
138. When production is 35 units, the average variable cost is: __________
(a) Rs. 7.25 (b) Rs. 72.25
(c) Rs. 72.57 (d) Rs. 85.50
139. In the table marginal cost per unit that corresponds to 25 units of production is
(a) Rs. 3.50 (b) Rs. 74
(c) Rs. 450 (d) Rs. 370
140. To maximize output, the firm should produce
(a) 30 (b) 35
(c) 45 (d) 50
141. If the market price drops from Rs. 100 to Rs. 74, the firm short run response should be:
__________
(a) Continue to produce the same number of units as before the drop in price
(b) Produce 10 units
(c) Produce 20 units
(d) Produce 25 units
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Read the following data and answer Questions Number 142-147
XYZ are three commodities where X and Y are complements whereas X and Z are substitutes.
A shopkeeper sells commodity X at Rs. 40 per piece. At this price he is able to sell 100 pieces
of X per month. After some time he decreases the price of X to Rs. 20. Following the price
decrease :
He is able to sell 150 pieces of X per month
The demand for Y increases from 25 units to 50 units
The demand for commodity Z decreases from 150 to 75 units.
142. The price elasticity of demand when the price of X decreases from Rs. 40 per piece to Rs. 20
per piece will be equal to:
(a) 1.5 (b) 1.0
(c) 1.66 (d) 0.6
143. The cross elasticity of monthly demand for Y when the price of X decrease from Rs. 40 to Rs.
20 is equal to:
(a) +1 (b) –1
(c) –1.5 (d) +1.5
144. The cross-elasticity of Z when the price of X decreases from 40 to 20 is equal to:
(a) –0.6 (b) +0.6
(c) –1 (d) +1
145. What can be said about price elasticity of demand for X?
(a) Demand is unit elastic (b) Demand is highly elastic
(c) Demand is perfectly elastic (d) Demand is inelastic
146. Suppose income of the residents of locality increase by 50% and the quantity of X commodity
increases by 20%. What is income elasticity of demand for commodity X?
(a) 0.6 (b) 0.4
(c) 1.25 (d) 1.35
147. We can say that commodity X in economics is a/an
(a) luxury good (b) inferior Good
(c) normal Good (d) none of the above
148. If the total cost of manufacturing commodity ‘X’ is Rs. 1,50,000. Out of this implicit cost is
Rs. 55,000 and normal profit is Rs. 25,000, what will be explicit cost:
(a) Rs. 95,000 (b) Rs. 1,25,000
(c) Rs. 80,000 (d) Rs. 70,000
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MODEL TEST PAPER - 16
Use Table No.3 to Answer Questions 149 – 150
Unit of Labour Total Output Marginal Output
0 — —
1 500 500
2 — 430
3 1290 —
149. What is the total output when 2 units of labour are employed?
(a) 690 (b) 930
(c) 830 (d) 680
150. What is the marginal output of the third unit of labour?
(a) 390 (b) 380
(c) 370 (d) 360
SECTION – D : QUANTITATIVE APTITUDE (50 MARKS)
151. If one of the regression coefficient is greater than unity, then other is less than unity.
(a) True (b) False
(c) Both (d) None of these
152. The set of cubes of the natural number is
(a) A finite set (b) An infinite set
(c) As null set (d) None of these
153. Age of person is
(a) An attribute (b) A discrete variable
(c) A continuous variable (d) A variable
154. For open end classification, which of the following is the best measure of central tendency?
(a) A.M. (b) G.M.
(c) Median (d) Mode
155. When an event is decomposable into a number of simple events, then it is called a compound
event?
(a) True (b) False
(c) Both (d) None of these
156. In which case binomial distribution is not applicable if the value of variable is:
(a) 1.0 (b) 2.0
(c) 2.5 (d) None of these
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157. “The number of suicides or death by heart attack in time t”,this is example of:
(a) Binomial distribution (b) Poisson distribution
(c) Probability distribution (d) None of these
158. To find out the operational cost, profit per unit of article, output per man etc, which measure
will be used by businessman?
(a) A.M. (b) G.M.
(c) Median (d) Mode
159. To find coefficient of correlation by scatter diagram method is not suitable, if the number of
observations is very large
(a) True (b) False
(c) Both (d) None of these
160. If an unbiased coin is tossed once, then the two events head and tail are:
(a) Mutually exclusive (b) Exhaustive
(c) Equally likely (d) All these
161. The value of log 216 6 is equal to
6
(a) 7/2 (b) 5/2
(c) 1 (d) None of these
162. For equation ax2+ bx+ c = 0, the sum of roots are equal to _______
(a) ac (b) – b/a
(c) c/a (d) None of these
log(1+x)
163. lim is equal to ___________
x→0 x
(a) 0 (b) 1
(c) –1 (d) ∞
164. ______ terms will amount to 60 in the series 16+14+12 ……. nth term
(a) 4 (b) 3
(c) 5 (d) 11
165. The score of 10 students in a test with maximum marks 50 were as follows 28, 36, 34, 28, 48,
22, 35, 27, 19, 41, then variance is equal to _____________
(a) 69.16 (b) 59.16
(c) 49.61 (d) 79.61
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MODEL TEST PAPER - 16
166. A bag contains 20 discs numbered 1 to 20. A disc is drawn from the bag. The probability that
the number on it is a multiple of 3 is _______
(a) 5/10 (b) 2/5
(c) 1/5 (d) 3/10
167. 7 distinct things are to be divided in 3 groups, consisting of 2, 2 and 3 things respectively,
number of ways this can be done is equal to ___________
(a) 110 (b) 105
(c) 100 (d) None of these
168. If the value of a car gets depreciated by 20% per year, estimated value at the end of five year
is ______ , if its present value is Rs. 24,000.
(a) 7,864.32 (b) 7,684.23
(c) 8,764.32 (d) 6,789.32
169. The shape and location of a _________ changes as p changes for a given n or n changes for a
given p.
(a) Poisson distribution (b) Binomial distribution
(c) Probability distribution (d) None of these
170. The median of the following items, 6, 10, 4, 3, 9 11, 22, 18 is ______________
(a) 10 (b) 9
(c) 9.5 (d) 10.5
171. Find the value of the f(-1), the function given below is continuous at x = -1
⎧ x2 −2x−3 ⎫
f(x)=⎨ ⎬, forx≠ −1; Thevalue off(−1)is
⎩ x+1 ⎭
(a) 1 (b) –1
(c) -4 (d) None of these
d
172. (x-1)(x-2)isequalto
dx
(a) 2x-3 (b) 3x-2
(c) 1 (d) None of these
173. The value of 2+ 2+ 2 is equal to
(a) -2 (b) 2
(c) 2 (d) 0
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174. If ratio of second to seventh terms in an A.P., where first term is –7 is 1/7. Find the common
difference.
(a) 10 (b) 42
(c) 12 (d) 13
175. In how many ways 5 gents and 5 ladies sit at a round table; if no two ladies are to sit together.
(a) 720 (b) 120
(c) 2,880 (d) 34,600
1
176. If f(x) = x3+ , then value of f(x) – f (1/x) is equal to
x3
(a) 0 (b) 1
1
(c)
x3+
(d) None of these
x3
177. The points A (7,3) and C (0,-4) are two opposite vertices of a rhombus ABCD. Find the
equation of diagonal AC.
(a) 2x + 2y – 3 = 0 (b) x – y + 3 = 0
(c) y– x + 4 = 0 (d) None of these
178. In a group of persons, average weight is 60 kg. If the average weight of males and females
taken separately is 80 kg and 50 kg respectively, find the ratio of the number of males to that
of females.
(a) 2:3 (b)3:2
(c) 2:1 (d)1:2
dx
∫
179. x +x is equal to
(a) 2 log (1+ x) + K (b) log (1+) + K
(c) log + K (d) None of these
180. Find the sum of first twenty five terms of A.P. series whose nth term is .
(a) 105 (b) 115
(c) 125 (d) 135
181. The difference between compound interest and simple interest on a certain sum for 3 years
at 5% per annum is Rs. 76.25. Find the sum.
(a) Rs. 5,000 (b) Rs. 8,000
(c) Rs. 9,000 (d) Rs. 10,000
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MODEL TEST PAPER - 16
182. A bag contains Rs. 187 in the form of 1 Rupees, 50 Paise, and 10 Paise coins in the ratio of
3:4:5. Find the number of each type of coins?
(a) 30, 40, 50 (b) 102, 136, 170
(c) 60, 80, 100 (d) None of these
183. The relation ‘Is a factor of’ is the set of integers is symmetric relation.
(a) True (b) False
(c) Both (d) None of these
184. If one of the number is 3 less than twice the other number and sum of squares of the two
numbers is 233. Find the numbers.
(a) 8, 13 (b) 11, 14
(c) 15, 18 (d) None of these
185. Find the present value of an ordinary annuity of 8 quarterly payments of Rs. 500 each, the
rate of interest being 8% p.a. compound quarterly.
(a) 4,275.00 (b) Rs. 4,725.00
(c) 3,662.50 (d) Rs. 3,266.50
186. Out of numbers 1 to 120, one is related at random, what is the probability that it is divisible
by 8 or 10.
(a) 23/120 (b) 18/125
(c) 32/120 (d) None of these
187. 3% of a given lot of manufactured parts are defective, what is the probability that in a
sample of 4 items none will be defective.
(a) 0.585 (b) 0.885
(c) 0.558 (d) None of these
188. The marks obtained by 10 students in an examinations were as follows:
70, 65, 68, 70, 75, 73, 80, 70, 83, 86. Find mean deviation about the mean?
(a) 5.3 (b) 5.4
(c) 5.5 (d) 5.6
189. For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm
and the sum of squares of these deviations is 257 cm2. Find the coefficient of variation?
(a) 41.13% (b) 14.13%
(c) 25.13% (d) 52.13%
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190. The coefficient of rank correlation of marks obtained by 10 students in English and Economics
was found to be 0.5, it was later discovered that the difference in ranks in the two subjects
obtained by one student was wrongly taken as 3 instead of 7. Find correct coefficient of rank
correlation.
(a) 0.514 (b) 0.26
(c) 0.15 (d) None of these
191. The mean of normal distribution is 500 and 16% of the values are greater than 600. What is
the S.D. of the distribution.
(a) 50 (b) 100
(c) 150 (d) 200
192. A population comprises 3 numbers 2, 6, 4. Find all possible number of samples of size two
with replacement.
(a) 27 (b) 6
(c) 9 (d) None of these
193. A random sample of 100 articles taken from a large batch of articles contains 15 defective
articles. What is the estimates of the proportion of defective articles in the entire batch.
(a) 0.15 (b) 0.020
(c) 0.212 (d) None of these
194. How many numbers greater than 2000 can be formed with the digits 1, 2,3,4,5?
(a) 216 (b) 120
(c) 24 (d) 240
195. If 2x + 5y – 9=0 and 3x-y-5=0 are two regression equation, then find the value of mean of x
and mean of y.
(a) 1,2 (b) 2,2
(c) 2,1 (d) 1,1
196. If A = {4, 5}, B = {2, 3}, C = {5, 6} then AX B∩C is
(a) {(2, 5), (3, 5)} (b) {(4, 2), (4, 6)}
(c) {(4, 3), (4, 2)} (d) None of these
ex-e2
lim
197. is equal to:
x→2 x -2
(a) e2 (b) e
(c) 1 (d) 0
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MODEL TEST PAPER - 16
198. If 3 times of Ramesh’s age 6 years ago be subtracted from twice his present age, the result
would be equal to his present age. Find Ramesh’s age
(a) 15 (b) 9
(c) 16 (d) 8
199. The sum and product of the equation 3x2 – 2x – 6 = 0 are
(a) 2/3, –2 (b) –2/3, 2
(c) 2, –2/3 (d) –2, –2/3
200. If 1176 = 2p.3q.7r Find the value of p, q, r.
(a) 1, 2, 3 (b) 1, 3, 2
(c) 3, 1, 2 (d) 1, 3, 5
(cid:2)(cid:2)(cid:2)
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