144 Which cost increases continuously with the increase in production?
(a) Average cost (b) Marginal cost
(c) Fixed cost (d) Variable cost
145 Before financial reforms, the banking system was characterized by all of the following except:
(a) Administered interest rate structure
(b) Quantitative restriction on credit flow
(c) High revenue requirements
(d) Keeping very less lendable resources
146 The law of scarcity:
(a) Doesn’t apply to rich, developed countries
(b) Applies only to the less developed countries
(c) Implies that consumer wants will be satisfied in a mixed economy
(d) Implies that consumer wants will never be completely satisfied
147 Money includes
(a) Currencies and demand deposits
(b) Bonds, Government securities
(c) Equity shares
(d) All of the above
148 A horizontal supply curve parallel to the quantity axis implies that the elasticity of supply is:
(a) Infinite (b) Zero
(c) Equal to one (d) Greater than zero but less than one
149 According to the Planning Commission, using Mixed Recall period (MRP) _____% people
were below poverty line in 2004-05
(a) 21.8 (b) 24.5
(c) 27.8 (d) 28.5
150 Lesser production of ______would lead to lesser production in future
(a) Public goods (b) Consumer goods
(c) Agricultural goods (d) Capital goods
SECTION – D : QUANTITATIVE APTITUDE (50 MARKS)
151. How many numbers between 100 and 200 are divisible by 2 & 8?
(a) 12 (b) 13
(c) 9 (d) 16
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152. The sum of first n odd numbers is
(a) n2 (b) (2n–1)2
(c) (n+1)2 (d) None of these
153. Find the number which when multiplied by 36 is increased by 1050.
(a) 40 (b) 30
(c) 50 (d) None of these
154. Find the value of 13 + 23 + 33 + ……………. + 123
(a) 6804 (b) 6048
(c) 6084 (d) None of these
155. Find the sum of n terms of the series 1 + 9 + 24 + 46 + 75 + .................
n(n+1)(7n−4) n(2n+1)(4n−3)
(a) (b)
6 6
n(2n+1)(2n−3)
(c) (d) None of these
6
156. What must be added to each term of 83:263 to make it equal to 1:3?
(a) 13 (b) 10
(c) 7 (d) None of these
157. An employer reduces the number of employees in the ratio of 9:8 and increases their wages
in the ratio of 14:15. In what ratio is the wages bill decreased?
(a) 20:22 (b) 20:33
(c) 21:20 (d) None of these
2 1
158. Divide Rs. 680 among A, B and C such that A gets of what B gets and B gets th of what
3 4
C gets. What is C’s share
(a) Rs. 180 (b) Rs. 280
(c) Rs. 480 (d) None of these
159. What must be added to each of the four numbers 10, 18, 22, 38. So that they become in
proportion?
(a) 2 (b) 5
(c) 7 (d) None of these
160. Find two numbers, such that the mean proportion between them is 24 and the third proportion
to them is 192.
(a) 48, 10 (b) 12, 48
(c) 10, 33 (d) None of these
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ex +e−x −2
161. Evaluate lim
x→0 x
(a) 1 (b) 0
(c) log (d) None of these
x
ex
−1
−1
162. Evaluate lim
x→0 ex
−1
+1
(a) 1 (b) –1
(c) does not exist (d) None of these
3x−|x|
lim
163. Evaluate
x→0 7x−5|x|
(a) 2 (b) 1
(c) does not exist (d) None of these
eax −ebx
164. Evaluate lim
x→0 x
(a) a–b (b) ab
(c) 0 (d) None of these
ex −1
lim
165. Evaluate
x→0 log(1+x)
(a) 0 (b) 1
(c) –1 (d) None of these
1−x dy
166. If y = then is
1+x dx
2/3
−1
(a) (1+x)(1−x) (b) (1+x)3/2 (1−x)
−3/2
(c) (1+x)2 (1−x) (d) None of these
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x dy
167. If y = , then
x3.
is
1+x2 dx
(a) y2 (b) y
(c) y3 (d) None of these
dy
168. If xy = ex–y; then is
dx
logx logx
(a) (1+logx)2 (b) (1−logx)2
1
(c) (1+logx)2 (d) None of these
dy
169. if y3 . x5 = (x+y)8, then is
dx
y −y
(a) (b)
x x
y5
(c) (d) None of these
x3
dy
170. If y = xx x......∞; then x. is
dx
y2 y2
(a) (b)
1+ylogx 1−ylogx
−y2
(c) (d) None of these
1−ylogx
1 ( )
∫ ex −ex dx
171. Evaluate
−1
(a) 1 (b) 0
(c) –1 (c) None of these
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e 1+logx
∫
dx
172. Evaluate:
x
1
3 3
−
(a) (b)
2 2
(c) 0 (d) None of these
log3 ex
∫
dx
173. Evaluate:
1+ex
0
(a) log 3 (b) log 2
(c) 1 (d) None of these
1 x
∫
dx
174. Evaluate:
1+ 1+x2
0
2( ) 2( )
(a)
2+1
(b)
− 2+1
3 3
2( )
(c)
2−1
(d) None of these
3
1 dx
∫
175. Evaluate:
(1+x)(2+x)
0
4 3
(a) log (b) log
3 4
(c) 0 (d) None of these
176. The sum of the first two terms of an infinite geometric series is 15 and each term is equal to
the sum of all the terms following it; then the sum of the series is
(a) 20 (b) 15
(c) 25 (d) None of these
177. If x and y are positive intigers such that x + y = 1 and a = 1 + x + x2 + ………….. to ∞∞∞∞∞ , b = 1
1 1
+ y + y2 +…………….. to ∞∞∞∞∞ then the value of + is
a b
(a) 0 (b) 2
(c) 1 (d) None of these
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178. At what rate, will a person who invests Rs. 2,000 will receive Rs.2, 090 as simple interest in
9 months?
(a) 5% (b) 6%
(c) 10% (d) None of these
179. The time required for Rs. 5,400 to yield Rs. 216 at 6% simple interest.
(a) 7 months (b) 8 months
(c) 10 months (d) None of these
180. A person deposited a sum of Rs. 10,000 in a bank. After 2 years, he withdrew Rs. 4,000 and
at the end of 5 years, he received an amount of Rs. 7,900; then the rate of simple interest is:
(a) 6% (b) 5%
(c) 10% (d) None of these
181. If the values of all observations are equal then the Standard Deviation of the given observations
is
(a) 0 (b) 2
(c) 1 (d) None of these
182. The Standard Deviation of a set of 50 items is 10. Find the Standard Deviation if every item
is increased by 5.
(a) 15 (b) 5
(c) 10 (d) None of these
183. Find the coefficient of variation if the sum of squared deviations taken from mean 40 of 10
observations is 360.
(a) 15 (b) 20
(c) 40 (d) None of these
184. If the coefficient of mean deviation is 0.44 and the mean deviation from mean is 5.77; then
the mean is –
(a) 14 (b) 13.11
(c) 16 (4) None of these
185. The Standard Deviation of two values is equal to half their difference. This statement is
(a) True (b) false
(c) cannot say (d) None of these
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186. Find the correlation coefficient between the following set of observation.
x: 50 50
y: 40 40
(a) 1 (b) –1
(c) 0 (d) None of these
187. The value of Spearman’s rank correlation coefficient of a certain number of observations
2
was to be . The sum of the squares of differences between the corresponding ranks was 55.
3
Find the number of Pairs.
(a) 10 (b) 12
(c) 11 (d) None of these
188. The equation of two lines of regression is 4x + 3y + 7 = 0 & 3x + 4y + 8 = 0. The correlation
coefficient between x & y is
(a) 1.25 (b) 0.25
(c) –0.75 (d) None of these
189. The co–variance between the two variables is
(a) always positive
(b) always negative
(c) always 0
(d) Either positive or negative or Zero
x−100 Y−200
190. The coefficient of regression of Y on X is byx = 1.2. If U = and V= find bvu
2 3
(a) 0.9 (b) 0.8
(c) 0.7 (d) None of these
191. A bag contains 5 red & 3 black balls and the second one 4 red and 5 black balls. One of these
is selected at random and a draw of two balls is made from it. What is the chance that one of
them is red and the other is black?
275 273
(a) (b)
504 504
175
(c) (d) None of these
504
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192. A purse contains 3 silver and 4 Gold coins and a second purse contains 4 silver and 3 Gold
coins. If a coin is selected at random from one of the two purses, what is chance that it is a
silver coin.
1 1
(a) (b)
2 4
3
(c) (d) None of these
4
193. Find mean of the probability distribution of “number of sixes” in two tosses of unbiased
dice.
1 2
(a) (b)
3 3
1
(c) (d) None of these
4
194. Find the probability distribution (when x = 2) of the number of sixes in a single throw of
three dice.
75 1
(a) (b)
216 216
15
(c) (d) None of these
216
195. A Chartered Accountant applies of a job in two firms X and Y. He estimates that the
probability of his being selected in firm X is 0.7, and being rejected at Y is 0.5 and the
probability of atleast one of his applications being rejected is 0.6. What is the probability
that he will be selected in one of the firms?
(a) 0.8 (b) 0.7
(c) 0.9 (d) None of these
⎡ ⎤
∫⎢log ( logx )+ 1 ⎥dx
196. Evaluate
⎢ ⎣
(
logx
)2⎥
⎦
x x
+c +c
(a) x log (log x) – (b) x (log x)2 –
logx logx
x
+c
(c) x log (log x) + (d) None of these
logx
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197. “Is equal to” is a
(a) Symmetric relation (b) Reflexive relation
(c) Transitive relation (d) Equivalence relation
198. If f(x) = x2 + 2, then the given function is
(a) odd function
(b) even function
(c) Neither odd nor even function
(d) None of these
199. For the function f(x) = 121+x, the domain of real values of x where 0 < x < 9 the range is
(a) 12 < f(x) < 1210 (b) 0 < f(x) < 1210
(c) 0 < f(x) < 12 (d) None of these
200. “Is greater than” over the set of real number s is
(a) Transitive relation (b) Symmetric relation
(c) Reflexive relation (d) Equivalence relation
❖❖❖
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