
61.

If
=100, then find the value of x.

a. 1000
b. 100
c. 10
d. None of these

62.

Five
years ago, a man’s age was 7 times that of his son’s age.
Five years later, the son’s age would be onethird that of his
father’s age. Find the present age of the father.

a. 40
b. 45
c. 50
d. None of these

63.

While
solving a quadratic equation of the form x² +
bx + c = 0, a student took the coefficient of x
incorrectly as 13 instead of 15 and the roots were found to be
4 and 9.
Find the correct roots of the equation.

a. 5, 7
b. 6, 9
c. 7, 8
d. None of these

64.

Find
the sum of all those integers between 250 and 750 which on being
divided by 6 leave a remainder 2 in each case.

a. 40,000
b. 40,500
c. 41,500
d. None of
these

65.

A
luncheon is arranged for 20 people. They were seated along the
two sides of a long table with 10 chairs on each side.
Five men wished to sit on one particular side and three
on the other side. In
how many ways can the 20 persons be seated?

a. 792(10!)^{2}
b. (10!)^{2 }
c. 863(10!)
d. None of these

66.

There
are 20 points in a plane of which 8 are collinear.
Find the number of triangles
that can be formed from these 20 points.

a. 1140
b.
1084
c. 964
d. None of these

67.

There
are 8 men and 6 women who are eligible for being included in a
committee. If the committee must have atleast one female member,
then in how many ways can
the committee be formed?

a.
b.
c.
Data insufficient
d.
None of these


Directions
for questions 68 to 76:

In
a game of snooker there are 15 red balls and 6 coloured balls.
The coloured balls
are yellow, green, brown, blue, pink and black which have to be
potted according to the following rules.

A
player is eligible to pot a coloured ball only after potting a
red ball. The first
pot of any player is always a red ball and a coloured ball must
be potted between any two red balls.
A player can never pot two balls is one stroke.
A coloured ball is replaced back on the table after it is
potted while the red ball once potted cannot be replaced. Once
all the red balls are exhausted, the coloured balls are potted
in the same order as mentioned above. For every red pot a player
gets 1 point and the points for the coloured balls are yellow2,
green3, brown4, blue5, pink6 and black7. For every foul, a
player is fined 4 points.


68.

Find
the number
of ways in which a player can pot all the balls in one chance.

a. 720
b.
721
c. 680
d. None of these

69.

Find
the maximum number of points that a player can score if he
doesn’t commit any foul.

a. 120
b.130
c.147
d. Cannot be determined

70.

Find
the minimum number of points that a player can score if he has
to clear the table without committing any foul.

a. 45
b. 72
c. 80
d. None of
these


With
the aim of drawing the game, two friends Rajeev and Sanjeev play
snooker with a rule that each one of them must pot only 2 balls
at a time and they decide that they have to pot the same colours
till they can do so.


71.

If
Rajeev pots a yellow ball for his 15^{th} red ball which
coloured ball can Sanjeev pot?

a.
Blue and Pink
b. Pink and black
c.
Yellow and green
d. Cannot be determined

72.

If
Sanjeev pots a green and brown ball in his turn, then which of
the following should be left out by Rajeev?

a.
yellow and black
b.
pink and yellow
c.
yellow and blue
d. None of
these

73.

Which
of the following must necessarily be true?

a.
Sanjeev pots yellow and green
b.
Sanjeev pots pink and yellow
c.
Sanjeev pots yellow and brown
d.
Sanjeev does not pot blue and black

74.

If
Sanjeev suddenly decides to win the game then which of the
following coloured balls should Sanjeev pot to eliminate the
chances of Rajeev winning?

a.
Pink and Black
b. Brown and Pink
c.
Yellow and Black
d. Brown and Black

75.

If
Rajeev suddenly decides to win then which of the following
coloured balls should
be definitely pot ?

a.
Blue and Pink
b. Blue and Black
c.
Pink and Black
d. None of these

76.

Two
dice are thrown simultaneously.
What is the probability of getting a total
score
of atleast 9?

a.
b.
c.
d.
None of these


Directions
for questions 77 and 79:


A
company manufactures a machine (m) which consists of two parts A
and B. It is found
that in a lot of 10,000 units of part A, 800 are defective and
in a lot of 20,000 units of part B, 400 are defective.

77.

What
is the maximum number of units of machine (m) that could be
defective in a lot of 1 lakh units?

a.
8000
b. 2000
c. 10000
d. None of these

78.

What
is the minimum number of units of machine (m) that could be
defective in a lot of 1 lakh?

a.
8000
b.
2000
c.
10000
d. None of these

79.

What
is the probability that the machine will not be defective?

a.
0.6
b. 0.7
c. 0.8
d. 0.9

80.

A
bag contains 7 blue balls and 5 green balls.
If 4 balls are drawn at random then what is the
probability that of the 4 balls drawn, 2 are blue and 2 green?

a.
b.
c.
d
.None of these

81.

Srinivas
lost some cards from a pack of 52 cards.
He noticed that, of the remaining, 8 were spades, none
wore diamonds, and there were 7 times as many clubs as hearts.
How many cards has he lost?

a.
36
b. 35
c. 34
d. 37

82.

Ramesh
and Arvind operate a joint account on a daily basis.
There was Rs.60, 000 in the account on the 1^{st}
of January and Ramesh deposits Rs.1, 500 and with draws Rs.900
everyday. Similarly,
Arvind also withdraws Rs.1800 and deposits a certain amount.
If the balance in the account on the 10^{th} of
January was still Rs.60, 000, then what was the amount deposited
by Arvind everyday?

a. Rs.1000
b. Rs.1400
c. Rs.1200
d. Rs.1100

83.

Arts
students and Commerce students combined can finish an assignment
in eight days, while the Arts students alone can do the same
assignment in nine days. Both
the group of students started the assignment together.
At half way, the Arts students entered into a fight with
the Commerce students and the latter group was forced to finish
the work alone. What
was the total duration of the assignment?

a.
42 days
b. 40 days
c. 39 days
d. 36 days

84.

Sandeep
won Rs.402 in a lottery. He
spent 1 rupee on a gift for each of his children.
He then distributed the balance among his children
equally, in one rupee notes.
If his sons have 3 sisters, then how many rupees did each
child get?

a. 12
b. 15
c. 11
d. 20

85.

If
Richard covers a distance of 0.4 km in 15 minutes while going to
college, he reaches his college 6 minutes late.
If he doubles his speed, he is 6 minutes early to the
college. What is
the distance between his house and his college?

a.
0.64 km
b. 1 km
c. 0.5 km d.
None of these

86.

The
proprietor of “Cox Wines” shop removes 20 liters of brandy
from a cask containing 100 litres and added back the same
quantity of bear. The shop is very famous for alcohol
adulteration. On
finding that inspectors from Food Quality Department are going
to come for inspection, the proprietor of the shop removes 20
litres from the cask and added back 20 litres of brandy to it.
What is the present ratio of brandy to beer in the cask
now?

a. 100:1
b. 84:16
c. 80:20
d. 64:16

87.

A
second grade quality cooking oil of 58 litres was processed and
found to be containing 25% of impurity. After processing
completely, it yielded 50 litres of the first grade oil.
Find the percentage of impurity in the first grade oil.

a.
12%
b. 11%
c. 13%
d. 11.5%

88.

Anand
passed his examination with 530 marks having scored 6% above the
minimum. If Srikant
had obtained 700 marks, by what percentage would he have been
above the minimum?

a. 40
b. 42
c. 50
d. 52

89.

The
average weight of each girl in a class of 59, was 40 kg.
When one girl left the class, the average reduced by 200
gm. Find the weight
of the girl who left the class.

a.
51.6 kg
b. 55.3 kg
c. 50kg
d. 49 kg

90.

A
mixture of alcohol and water contains 45% alcohol by weight.
Fifty grams of water is added to 100 grams of mixture.
What percentage of alcohol by weight is there in the new
mixture?

a. 25
b. 29
c. 30
d. 32

91.

Alloys
X and Y contain gold and copper in the ratio 5:2 and 3:4
respectively. If
equal weights of the two alloys are melted to form a third alloy
Z, then find the
ratio of gold and copper in alloy
Z?

a.
3:4
b. 4:3
c. 1:1
d. 4:7

92.

18
students begin to
work together on a project, but after some days, 6 of them
leave. As a result,
the project which should have been completed in 44 days is
completed in 55
days. How many days after the commencement of the project did
the 6 students leave?

a. 23
b. 20
c. 22
d. 19

93.

Venkat
can build a wall in 6 days while Bhima can break it in 3 days.
After Venkat had worked for 4 days, Bhima joined him and
together they were on the job for 2 days.
In how many days can Venkat alone build the remaining
part of the wall?

a.
4
b. 6
c. 5
d. 3

94.

Two
pipes can fill a tank separately in 10 minutes and 15 minutes
respectively. Both
the pipes are opened together for a certain time but being
clogged only
of full quantity of
water flows through the former and only
through the latter
pipe. After some time, the obstacles in the pipe got cleared and
the tank got filled in 3 minutes from that moment.
How long was it before the full flow began?

a. 3.75 min
b. 2.5 min
c. 4 min
d. 3 min

95.

A
father left a will of Rs.84,000 to be divided
between his two sons aged 10 years and 15 years such that
they may get equal amount when each attains the age of 18 years.
If the money is reckoned at 20% p.a, interest being
compounded yearly, find the approximate amount that the 15 year
old son received at the time of the will.

a.
Rs. 32000
b. Rs. 52000
c. Rs. 60000
d. Rs. 34000

96.

Gupta
and sons is a business started with an initial investment of Rs.3,
20,000. In the
first year, it incurred a loss of 5%.
During the second year, it earned a profit of 20% , which
in the third year was 12.5%. Calculate the net profit for the
period of 3 years, if the proprietors of the company did not
take any money from the business during that period.

a. Rs. 90000
b. Rs. 90400
c. Rs. 89400
d. Rs. 90500

97.

The
odds that Kumar speaks the truth is 6:5 and odds that Bhanu
speaks the truth is 8:7. In
what percentage of cases are they likely to agree with each
other on an identical point?

a. 48
b. 50
c.
46
d. They can never agree with each other

98.

A
cone is 1200 cm high and its slant height is inclined at 30^{0}
to the horizontal. Find
the area of its curve surface.

a.1567 m^{2}
b.1500 m^{2}
c. 1490m^{2}
d. 1497 m^{2}

99.

A
field in the form of an isosceles triangle is levelled at the
rate of Rs.5 per sq. m. If
the total cost of levelling was Rs.300 and the unequal side is
10 m long, then find the total number of poles required for
fencing the field if the distance between any two poles should
be 1 m and all the three vertices must have poles?

a.
30
b. 33
c. 36
d. None of
these

100.

PR
is the diameter of a circle and also a diagonal of a
quadrilateral PQRS inscribed in the circle.
If PQ =7cm, QR = 24cm, and RS =15cm, then find the
approximate area of the portion of the circle excluding the
quadrilateral.

a. 491 sq. cm
b. 257 sq. cm
c. 329 sq. cm
d. None of these

101.

A
circle is inscribed in an nsided regular polygon.
If the radius of the circle and the side of the polygon
bear the ratio
:2, then which of the following polygons can it be?

a.
Pentagon
b. Hexagon
c.
Heptagon d. Cannot be determined

102.

In
the following figure, if the side of the square is 14 cms then
find the area of the region between the concentric circles.


a. 154sq. cm
b. 308 sq. cm
c. 385 sq. cm d.
None of these

103.

In
the given figure O1 and O2 are the centre of the circles. Find
the area of the shaded region


a.
sq. cm
b.
sq. cm
c.
sq. cm
d. None of
these

104.

Two
solid cubes of sides 10cm and 9 cm are melted and reshaped into
two cubes with integral sides of different measurements.
Find the cost of painting all the faces of the two cubes
at the rate of 50 paise per sq.cm.

a. Rs.375
b. Rs.395
c. Rs.435
d. None of these

105.

An
8 cm cube is cut into 1cm cubes.
Find the percentage increase in the total surface area.

a.
500%
b. 600%
c. 700%
d. 900%

106.

In
midsummer, a thirsty crow searching for water finds a spherical
pot of water which is half full to a height of 42 cm.
What is the minimum number of spherical pebbles of
diameter 4cm must the crow drop into the pot if it has to quench
its thirst considering that it can reach for water to a depth of
7 cm.

a. 9261
b. 9621
c. 9629
d. None of
these

107.

Find
the area of
LMN if X and Y are the midpoints of MN and LX respectively and
area of
NYX is 16 sq.cm.

a.
64 sq. cm.
b. 32 sq. cm.
c. 48 sq. cm.
d. None of these

108.

Consider
the adjoining figure and state which of the following is true


a. QS = RS
b. QS <
RS
c. QS> RS
d. None of these

109.

Find
the value of

a.
e^{3}
b. 3^{e }
c. e^{3 }
d. None of these

110.

If
and tan
= 4, then find the
value of g.

a.
b.
c.
d.


Directions
for question 111 to 115


Study
these piecharts and answer the following questions. The first
pie chart shows the total sales revenue from the sale of mobile
phones and the second pie chart shows the volume sold by each
company in 2001.





,

111.

For
the year 2001, approximately how many more mobile phones did
Sony sell than Samsung?

a. 65,000
b. 71,000
c. 73,000
d. 81,000

112.

For
the year 2001, average unit sale price of a Nokia mobile phone
was approximately

a.
$140
b. $70
c. $240
d. $260

113.

For
the year 2001, which of the following companies realized the
lowest average unit sale price for their mobile phone?

a. Nokia
b. Sony
c. Ericsson
d. None of
these

114.

What
is the approximate ratio of average unit price of Nokia to
Motorola?

a.
7 : 5
b. 7 : 3
c. 3 : 7
d. 5 : 7

115.

Which
of the following statements is false?

a.
The average unit price of all the models is $28
b. The average unit sale price of Samsung $30
c. The market share (value wise) of other brand is $5.68 million
d. The market share (piece wise) of other brand is 11,500 units


Directions
for questions 116 to 120


Following
tables show the number of students of a college who took the
tests in different subjects during the given years and the
number of students who passed the tests:


Subject
>

Physics

Chemistry

Mathematics

Year


Appeared

Passed

Appeared

Passed

Appeared

Passed

1997


80

56

70

52

80

52

1998


88

64

75

55

88

64

1999


90

60

75

60

96

70

2000


84

70

72

55

90

70

2001


90

72

75

52

96

70




Subject
>

Statistics

Computer
Science

Year


Appeared

Passed

Appeared

Passed

1997


30

25

50

42

1998


42

32

45

35

1999


40

30

48

40

2000


45

33

60

52

2001


45

33

55

40




116.

What
is the ratio of the lowest pass percentage to the highest pass
percentage in any ofthe
subjects in any of the given years?

a. 3 : 5
b. 3 : 4
c. 4 : 3
d. None of these

117.

Find
the ratio of the percentage of students who failed in Physics in
the year with the worst result in Physics to the percentage of
students passed in Computer Science in the year with
the best results in Computer Science.

a.
5 : 13
b. 6 : 7
c. 5 : 12
d. None of these

118.

What
is the average pass percentage of the students of Statistics
over the period 1997 to 2001?

a. 74.1%
b. 76.2%
c. 75.1%
d. None of these

119.

What
is the ratio of average pass percentage of Chemistry to
Mathematics over the given period?

a.
1.5 : 1
b. 1 : 1.5
c. 1 :
1
d. None of these

120.

What
is the average percentage of students in Physics who failed over
the given period?

a. 20%
b. 23%
c. 25%
d. None of these
