CPT Mock Test – 3rd
Test Booklet No. – 110015
2nd Session
Date: -07.11.2015
Duration : 2 Hours
Total Marks : 100
(1)
Ans. b
Explanation:
The value of AFC never be zero due to TFC which always remains constant.
(2)
Ans. a
Explanation:
MR = AR×
(i)
(ii)
(iii)
e-1
e
e = 1 ; MR = 0
e > 1 ; MR = Positive
e < 1 ; MR = Negative
(3)
Ans. a
Explanation:
When Supply > Demand then market price will decrease.
(4)
Ans. c
Explanation: In monopoly market, due to non-existence of substitutes, a firm always
get Abnormal Profit.
(5)
Ans. c
Explanation: HDI is generally used which is the composite of three basic indications
of human-development-longevity knowledge and standard of living.
(6)
Ans. d
Explanation: NABARD – National Bank of Agriculture and Rural Development.
(7)
Ans. b
Explanation:
Cafeteria approach is related to Family Planning. Various contraceptive methods
were offered and the acceptors had the freedom to choose any of the methods
offered.
(8)
Ans. a
Explanation:
In India we use the concept of absolute poverty for measuring poverty. For this a
minimum level of consumption standard is laid down (known poverty line) and those
who fail to reach this minimum consumption level are regarded as poor.
(9)
Ans. c
Explanation: Most of the unemployment in India is definitely structural, that is, the
structure of the economy is such that it does not absorb an increasing number of
people coming to labour market in search of jobs.
(10)
Ans. c
Explanation:
To improve generation of power, Ministry of Power has launched the ‘‘Partnership in
Excellence’’ programme. Under the programme, 26 thermal stations with PLF less
than 60 percent have been identified. Steps will be taken to improve their efficiency.
MITTAL COMMERCE CLASSES
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(11)
Ans. a
Explanation:
Fiscal Responsibility and Budget Management (FRBM) bill was introduced in 2000 and
FRBM act was passed in 2003. The Act aims at reducing gross fiscal deficit by 0.5
Percent of the GDP in each financial year.
(12)
Ans. c
Explanation:
The Department of Posts has launched a pilot project ‘‘ Project Arrow’’ with the aim
of providing fast and reliable postal services to the consumers.
(13)
Ans. a
Explanation:
The revenue is income elastic ; because of the progressive character revenue will
increase faster than the increase in income.
(14)
Ans. a
Explanation:
The tax which is levied on the income of individuals, Hindu Undivided family
unregistered Firms and other association of people is known as personal income tax
(15)
Ans. d
Explanation:
In four sectors Industrial sector , Financial sector ,
economic reforms were introduced.
External sector , Fiscal sector
(16)
Ans. a
Explanation:
Quantitative Restrictions were removed on 714 items in EXIM policy of 2000 – 01
and on remaining 715 items in EXIM policy of 2001 – 02.
(17)
Ans. c
Explanation:
IBRD (International Bank for Reconstruction and Development) is more popularly
known as the World Bank was formed as a part of the deliberations at Bretton Woods
in 1945.
(18)
Ans. b
Explanation:
Government announced the nationalization of 14 commercial banks in 1969 and 6
more banks were nationalised in 1980. Two banks were merged in 1993. So at
present there are 19 nationalised banks.
(19)
Ans. d
Explanation: All of the above statements are correct to nullify the effect of increase
CRR.
(20)
Ans. d
Explanation:
As per low of DMU, MU dismisses with increased consumption and gradually can
become zero a negative
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(21)
Ans. b
Explanation:
Market demand is the aggregate demand of all households.
(22)
Ans. c
Explanation:
When AP ↑ , MP > AP due to the extremeness of marginal product in comparison
with AP.
(23)
Ans. c
Explanation:
Both the costs are recognized in accounting process
(24)
Ans. c
Explanation:
Because of lesser/no substitutes.
(25)
Ans. d
(26)
Ans. a
(27)
Ans. a
(28)
Ans. c
(29)
Ans. b
Explanation:
Since Elasticity between any two given points of a demand curve is called ARC
Elasticity.
(30)
Ans. a
(31)
Ans. d
Explanation:
When demand changes due to factor other than price, it is called increase/decrease
in demand, which causes shift in the curve.
(32)
Ans. a
Explanation:
Because, employer is stronger than labour.
(33)
Ans. b
(34)
Ans. c
(35)
Ans. a
(36)
Ans. b
(37)
Ans. a
(38)
Ans. c
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(39)
Ans. a
Explanation :
Positive science relates with current conditions which means it related with “What
actually is”.
(40)
Ans. d
Explanation:
This concept was given by Prof. Jacob Viner. According to him, “ The work of an
economist is only to make principles which are related with economical conditions of
country.”
(41)
Ans. d
Explanation: Because consumer surplus is measured with what a consumer is ready
to pay and it can only measured by marginal utility only.
(42)
Ans. a
Explanation:
Since MRS showing the rate of substitution between two goods and IC yields “Same
or equal satisfaction”.
(43)
Ans. a
Explanation:
Since consumer surplus is based what a consumer is ready to pay minus what he
actually pays. Hence it can also be called as buyers surplus.
(44)
Ans. b
Explanation:
Flow Concept – Supply of commodity depends upon the level of production.
Production depends upon Demand. The seller produces products according to
demand. Hence all is continuous & in flow.
(45)
Ans. d
Explanation:
Because the quantity supplied is related with price and when more units of product
are supplied at higher price, this is known as "Extension/Expansion in supply"
(46)
Ans. c
Explanation:
Since after the point of inflexion the rate of increase of TP is diminishing.
(47)
Ans. c
Explanation:
Since production is having inverse relationship with cost hence at diminishing
marginal returns there would be increasing marginal cost.
(48)
Ans. a
Explanation:
Since in short run when fix factors are kept fixed and units of variable factors are
increased this law is applicable.
(49)
Ans. b
Explanation:
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AFC can never be “U”shaped because TFC is fixed and when units of quantity are
increased, AFC reduces but never increases.
(50)
Ans. a
Explanation:
Because AFC =
TFC
Q
TC = 250 + 10Q
Hence 250 is fixed cost & 10Q is variable cost
Hence
AFC =
TFC
Q
AFC = 250/Q
(51)
Ans. a
Explanation:
Income
Expenditure
100
75
120
82.5
Saving
25
37.5
His savings are increased by =
(52)
12.5
x100 = 50%
25
Ans. d
Explanation:
x  a 3 bx
x  a (bx)
2
2
1
3
5
3
1
3
x ab x
x ab
1
3
1
3
x  5 a 3b
(53)
Ans. c
Explanation:
The equation passing through (–1, 3) and parallel to the line joining (6, 3) and
(2, –3) is:
y–3 =
y–3=
33
x  1
26
3
 x  1
2
2y–6 = 3x+3
 3x–2y+9=0
(54)
Ans. c
Explanation:
SI for 5 years = 1020 – 720
= 300
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(55)
300
x2
5
SI for years
=
Principal
= Rs.120
= Rs.720 – Rs.120
= Rs.600
Ans. b
Explanation:
x4 x

2
3
3 x  12  2 x
3
6
18  5 x  12
3
or
30  5 x
x
x4 x
 2
2
3
5 x  12
2
6
5 x  12  12
24
5
6 x
 24

 x  6
x :
 5

(56)
Ans. b
Explanation:
Let first instalment be Rs. a and difference of consecutive instalments be Rs. d.
30
2a  29d   3600  2
2
3
 2a+ 29d = 160
_____ (i)
40
2a  39d   3600
2
and
 2a+ 39d = 180
_____ (ii)
on solving equation (i) and (ii), we get
a = 51 and d = 2

first instalment = Rs.51
(57)
Ans. b
Explanation:
Roots are real and unequal

b 2  4ac  0
 52  43 p   0
25  12 p  0
25  12 p
25
p
12
25
 p
12
(58)
Ans. c
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Explanation:
N12  12, 24, 36, 48.......... and N8  8, 16, 24..........
N 8  N12  24, 48..........  N 24
(59)
(60)
Ans. c
Explanation:
The no. of ways
= 4P3 × 4!
= 24 × 24 = 576
Ans. d
Explanation:
2
r 
2Pr

P1 
 40
 -P100
 100 
2
 R 
P
  40...............(i)
 100 
3
r 
3P r

P 1 
 122
 P
100
 100 
 R   300  R 
P
 
  122.........(ii)
 100   100 
2
By solving eqn(i) and eqn(ii)
R = 5%
2
 5 
From eq (i) P
  40
 100 
n
P  Rs.16000
(61)
Ans. a
Explanation:
Formula : Internal division
 mx2  nx1 my2  ny1 
,


mn 
 mn
2:3
A(2,3)
R
B(3,7)
 6  6 14  9 
 12 23 
,
  R , 
5 
 5
5 5 
R
(62)
Ans. c
Explanation:
Let a and d be the first term and common difference of the AP.
 a + 58d = 449
–(i)
a + 448d = 59
–(ii)
on solving Equations (i) and (ii), we get
a = 507 and d=–1
Now, assume that nth term will be zero.
0 = 507 + (n–1) (–1)
n–1 = 507
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n = 508
(63)
Ans. c
Explanation:
 (a, a), (b, b), (c, c)  R
So, R is a reflexive relation
But (a, b)  R and (b, a)  R
Thus, R is not a symmetric relation
Also, (a, b), (b, c) R  (a, c)  R
Hence, R is not a transitive relation.
(64)
Ans. d
Explanation:
By formula
n A  B  C   n A  nB  nC   n A  B  nB  C   n( A  C)  n A  B  C 
92%
= 42% + 51% + 68% – 30% – 28% – 36% +
n A  B  C  = 25%
n A  B  C 
U
B
A
5%
1%
18%
25%
3%
11%
29%
C
The percentage of persons who read only two paper
= 5% + 3% + 11% = 19%
(65)
(66)
Ans. d
Explanation:
By solving the cubic equation x3+2x2–x–2=0
We get x = –1, 1,–2
For x =–1
(2x+3) = 2(–1)+3=1
For x=1
(2x+3) = 2(1)+3=5
For x=–2
(2x+3) = 2(–2)+3=–1
Ans. c
Explanation:
SI =
pr t
100
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p  0 .5  1
100
60 =
p
= Rs.12000
(67)
Ans. d
Explanation:
Required number of numbers = 6×6×3 = 108
(68)
Ans. c
Explanation:
2  2 2  3 2  4 2  ...
n
Sn = 2a  n  1d 
2
n
2 2  n  1 2
=
2
n
=
2n 2
2
nn  1
=
2


(69)


Ans. d
Explanation: Let the sides of a triangle are in
6x, 4x and 3x
6x  4x  3x  52
Then
x4
The length of the smallest side =
3 x 4  12 cm
(70)
Ans. d
Explanation:
First nine terms of a G.P. are a, ar, ar2 ... ar8
P = a. ar. ar2. ... ar8
= a9r36
= (ar4)9
= (T5)9
= 9th power of the 5th term.
(71)
Ans. d
Explanation:
An injective function means one-one. In option (d),
we get a different value of
(72)
f (x)  -x for every value of x ,
f . Hence, it is injective.
Ans. b
Explanation:
x
 21 
  2
 10 
x log21  log10   log2
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x
(73)
log 2
log 3  log 7  1
Ans. a
Explanation:
1 2

6 3
1 2

log 8  m   
6 3

1
m  4
6
log 8 m  log 8
m = 24
(74)
Ans. a
Explanation:
Let ,  be roots of equation
 + = n,  =m
Given that: – =1
   2  4  
1
n 2  4m  1
n 2  4m  1  0
(75)
Ans. d
Explanation:
Common Region of the inequalities is ABDFHKA.
(76)
Ans. a
(77)
Ans. b
(78)
Ans. d
Explanation:
Percentage of persons earning less than Rs.30000
=
78
 100  39%
200
(79)
Ans. c
(80)
Ans. d
Explanation:
G.M.
=
4  20  363
1

= 43 45
(81)
Ans. b
(82)
Ans. b
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Explanation:
Average Speed
=
4
1 1 1 1
  
6 5 3 9
= 4.93
(83)
Ans. c
(84)
Ans. a
Explanation:
A.M. = (16 + 4)/2 = 10
16  4  8
2  16  4
H.m. =
 6.4
16  4
G.M.
(85)
=
Ans. b
Explanation:
n= 32, =5, x=80

5 2
x2
x 2
2
 x 
n
2
x
=
 6.25
32
=
= 1000
(86)
Ans. d
(87)
Ans. b
Explanation:
0.8 =
1
6D 2
990
D2 = 33
Correct D2 = 33 – 49 + 81 = 65
Correct rank correlation =
(88)
1
6  65
 0.61
990
Ans. b
Explanation:
0.1 =
12.3
364   x
x = 0.33
(89)
Ans. c
(90)
Ans. b
Explanation:
cov(x,y) = 0.25 × 6 × 8 = 12
(91)
Ans. d
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(92)
Ans. c
(93)
Ans. a
(94)
Ans. b
(95)
Ans. b
Explanation:
Chain index number for
1993
:
1994
:
1995
:
1996
:
103  100
 103
100
103  105
 108.15
100
108.15  112
 121.13
100
121.13  108
 130.82
100
(96)
Ans. a
(97)
Ans. c
(98)
Ans. d
Explanation:
n = 25
A = 45
d = –55
x =A +
d
n
= 42.8
(99)
Ans. a
Explanation:
Group
Food
Fuel and lighting
Clothing
House rent
Miscellaneous
R
352
200
230
160
190
W
48
10
8
12
15
93
RW
16896
2000
1840
1920
2850
RW =25506
The cost of living index using weighted A.M. = 274.26
(100) Ans. c
***
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