Section – II (DI/Logical Ability)

Directions for Questions 26 to 28: Answer the following questions based

on the statements given below:

1. There are three houses on each side of the road.

2. These six houses are labeled as P, Q, R, S, T and U.
3. The houses are of different colours,namely,Red,Blue,Green,Orange,
Yellow and White.
4. The houses are of different heights.
5. T, the tallest houese, is exactly opposite to Red coloured house.
6. The shortest house is exactly opposite to the Green Coloured house.
7. U, the Orange coloured houese, is located between P and S
8. R, the yellow coloured house, is exactly opposide to P.
9. Q, the green coloured house, is exactly opposide to U
10. P, the white coloured houese, is taller than R,but shorter than S and Q.

Q.26. What is the colour of the house diagonally opposite to the Yellow
coloured house?

(1) White
(2) Blue
(3) Green
(4) Red
(5) None of these
Note From Statements (VII), (VIII) and (IX), we get.

Then, T is opposite S and the colour of S is red. From (x), the colour of
house P is white, hence the colur of house T is blue.

Now, From (v) and (x),we get

T > S, Q > P > R

From (VI), U is the shorest.

i.e., the order of houses in the decending order of their heights is T, S/Q,
Q/S, P, R, U.
Ans. R is yellow coloured house and the house diagonally opposite R is S.
and the color of house S is Red. Hence, [4].

Q.27. Which is the second tallest house?

(1) P
(2) S
(3) Q
(4) R
(5) Can not be determind

Ans. The second tallest house is either S and Q. Hence,[5].

Q.28. What is the colour of the tallest house ?

(1) Red
(2) Blue
(3) Green
(4) Yellow
(5) None of these

Ans. The tallest house is T and its colour is blue. Hence, [2]

Directions for Questions 29 to 31: Answer the following questions based

on the statements given below:

Telecom operators get revenue from tranfer of data and voice. Average
revenue received from tranfer of each unit of data is known as ARDT. In the
diagram below, the revenue received from data transfer as percentage of
total revenue received and the ARDT in US Dollors(USD) are given for
various countries.

Q.29. It was found that the volume of data transfer in India is the same as
that of Singapore. Then which of the following statements is true?
(1) Total revenue is the same in both countries
(2) Total revenue in India is about 2 times that of Singapore
(3) Total revenue in India is about 4 times that of Singapore
(4) Total revenue in Singapore is about 2 times that of India
(5) Total revenue in Singapore is about 4 times that of India

Ans. Let the volume of data is India and Singapore be y, each then

Hence,[5]

Q.30. It is expected that by 2010, revenue from india data tranfer as a

percentage of total revenue will triple for India and double for Sweden.
Assume that in 2010, the revenue in India is twice that of Sweden and that
the volume of data transfer is the same in both the countries. What is the
percentage increase of ARDT in india if there is no change in ARDT is
Sweden?

(1) 400 %
(2) 550 %
(3) 800 %
(4) 950 %
(5) Cannot be determind

Ans. Revenue from data tranfer as percentage of total revenue in 2010

Total revenue in 2010

In India= 2 * In Sweden(say x)
In 2010, the volume of the data tranfer in each country be y.
ARDT in Sweden in 2010 =$6 (same in graph)

Let ARDT in India in 2010 be z, then

z= $9
The required percentage increase

Hence, [3]
Q.31. If the total revenue is the same for tha pairs of countries listed in the
chocies below, choose the pair that has approximately the same volume of
data tranfer.

(1) Philippines and Aurtria

(2) Canada and Ploand
(3) Germany and USA
(4) UK and Spain
(5) Denmark and Mexico

Ans. We now that of toal revenue

i.e. we want a pair for whom the ratio
is approsimately same for both

Hence, [4]

Directions for Questions 32 to 34: For admission to various affiliated

colleges, a university conducts a written test with four different sections,
each with a maximum of 50 marks. The following table gives the aggregate
as well as the sectional cut-off marks fixed by six different colleges affiliated
to the university. A student will get admission only if he/she gets marks
greater than or equal to the cut-off marks in each of the section and his/her
aggregate marks are at least equal to the aggregate cut-off marks as
specified by the college.

Q.32. Bhama got calls from all colleges. What could be the minimum
aggregate marks obtained by her?

(1) 180
(2) 181
(3) 196
(4) 176
(5) 184

Note. Sectional cut-offs for colleges 1,2,3,4,5 and 6 are mentioned

In the table given in the question
The sections where cut-offs are missing need not be considered

Ans. To get calls from all colleges, Bhama should score marks equal to
maximum cut-off marks required for each section of all the colleges the
Bhama should score.

Section A Section B Section C Section D

45 45 46 45

Aggregate marks obtained = 45 + 45 + 45 + 46 = 181.Hence, [2]

Q.33. Charlie got calls from two colleges. What could be the minimum marks
obtained by him in a section?

(1) 0
(2) 21
(3) 25
(4) 35
(5) 41

Ans. If aggregate marks of Charlie are 175. Charlie stands a chance to clear
cut-off of college 2 and 3. So, Charlie should score.

Section A Section B Section C Section D

50 50 50 25

Aggregate marks obtained = 50 + 50 + 50 +25 = 175 Hence,[3]

Q.34. Aditya did not get a call from even a single college. What could be the
maximum aggregate marks obtained by him?

(1) 181
(2) 176
(3) 184
(4) 196
(5) 190

Ans. Aditya did not get a call from even a single college and if he has score
maximum aggregate marks, he must have cleared cut-off of two sections
with higest score and not cleared the remaining two, so,

Aditya should have scored

Section A Section B Section C Section D
50 50 41 43

Aggregate marks obtained = 50 + 50 + 41 +43 = 184. Hence,[3]

Directions for Questions 35 to 88: Answer the following questions based

on the statements given below:

In a sports event, six teams(A, B, C, D, E and F) are competing against each

other. Matches are scheduled in two stages. Each team plays three matches
in Stage-I and two matches in Stage-II. No team plays against the same
team more than once in the event. No ties are permitted in any of the
matches. The Obsercations after the completion of Stage-I and Stage-II are
as given below:

Stage-I

 One team won all the three matches.

 Two teams lost all the matches
 D lost to A but won against C and F
 E lost to B but won against C and F
 B lost at least one match
 F did not play against the top team of Stage-I

Stage-II

 The leader of Stage-I lost the next two matches

 Of the two teams at the bottom after Stage-I, one team won both
matches, while the other lost both matches.
 One more team lost both matches in Stage-II

Q.35. The two teams that defeated the leader of Stage-I are

(1) F&D
(2) E&F
(3) B&D
(4) E&D
(5) F&D
Note
Stage I:
B lost at least one match. D and E lost one match each .

C and F have lost two matches each.

i.e A is the top team of Stage I and has won all the three matches in Stage I

Hence, A and F did not play against each other in stage 1.

Also, B D and E have won at least one match.Hence, C and F must have lost
all the 3 matches in Stage I.

Thus, the 9 matches played in Stage I are:

D(Won) x C(Lost) E(Lost) x B(Won) A(Won) x B(Lost)

D(Won) x F(Lost) E(Won) x C(Lost) A(Won) x C(Lost)
D(Lost) x A(Won) E(Won) x F(Lost) B(Won) x F(Lost)
Stage II:

The 6 matches played in Stage II are as follows:

AxEBxCDxE
A x F B x DC x F

The leader of Stage I i.e A lost both his matches.

Two teams at the bottom after stage I and C and F.

Since, F lost againt A, F lost againt C also.

And C won against B and F

Now, the only other team that lost both the matches is D

A(Lost) x E(Won) B(Won) x C(Lost) D(Lost) x E(Won)

A(Lost) x F(Won) B(Won) x D(Lost) C(Lost) x F(Won)

Ans. 35-[2]

Q.36. The only team(S) that won both matches is Stage-II are

(1) B
(2) E & F
(3) A, E & F
(4) B, E & F
(5) B & F

Ans. 36-[4]

Q.37. The teams that won exactly two matches in the event are

(1) A, D & F
(2) D&E
(3) E&F
(4) D, E & F
(5) D&F

Ans. 37-[5]

Q.38. The teams(s) with the most wins in the event is (are)

(1) A
(2) A&C
(3) F
(4) E
(5) B&E

Ans. 38-[5]

Directions for Questions 39 to 42: Answer the following questions based

on the statements given below:

The bar chart below shows the revenue received, in million US Dollars
(USD), from subscribers to a particular Internet service. The data covers the
period 2003 to 2007 for the United States (US) and Europe. The bar chart
also shows the estimate revenues from the subscription to this service for
the period 2008 to 2010.
Q.39. The difference between the estimated subscription in Europe in 2008
and what it would have been if it were computed using the percentage
growth rate of 2007 (over 2006), is closest to :

(1) 50
(2) 80
(3) 20
(4) 10
(5) 0

Ans. Percentage growth rate of 2007(over 2006)

The subscription in Europe in 2008

The difference
The closest option is [1]

Hence, [1]

Q.40. In 2003, sixty percent of subscribers in Europe were men. Given that
woman subscribers increase at the rate of 10 percent per annum and men at
the rate of 5 percent per annum, what is the approximate percentage
growth of subscribers between 2003 and 2010 in Europe? The subscription
prices are volatile and may change each year.

(1) 62
(2) 15
(3) 78
(4) 84
(5) 50

Ans.Let there be 100 subscribers in Europe in 2003

In Europe
2003 2004 2005 2006 2007 2008 2009 2010
Men 60 63 66.15 69.5 73 76.6 80.4
Women 40 44 48.4 53.24 58.56 64.4 70.86
Total=163

Hence, [1]

Q.41. Consider the annual percent change in the gap between subscription
revenues in the US and Europe. What is the year in which the absolute value
of this change is the highest?

(1) 03-04
(2) 05-06
(3) 06-07
(4) 08-09
(5) 09-10

Ans.The annual percent change in the gap between the subscription

revenues in the U.S and Europe during.

The , highest

Hence, [4]

Q.42. While the subscription in Europe has been growing steadily towards
that of the US, the growth rate in Europe seems to be declining. Which of
the following is closest to the percent change in growth rate of 2007 (over
2006) relative to the growth rate of 2005 (over 2004)?

(1) 17
(2) 20
(3) 35
(4) 60
(5) 100

Ans.Growth rate of 2007(over 2006)

Growth rate of 2005(over 2004)

The percentage change

Which is closest to 35. Hence,[3]

Directions for Questions 43 to 47: Anser the following questions based on

the information given below:

Abdul, Bikram and Chetan are three professional traders who trade in shares
of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of
the day at 10 am and selling the whole lot at the close of the day at 3 pm.
Bikram follows the strategy of buying at hourly intervals: 10 am , 11 am, 12
noon, 1 pm and 2 pm, and selling the whole lot at the close of the day.
Further, he buys an equal number of shares in each purchase Chetan follows
a similar pattern as Bikram but his strategy is somewhat different Chetan’s
total investment amount is divided equally among his purchases. The profit
or loss made by each investor is the difference between the sale value at the
close of the day less the investment in purchase. The “return” for eachinves
tor is defined as the ratio of the profit or loss to the investment amount
expressed as a percentage.

Q.43. On a day of fluctuating market prices, the share price of XYZ Ltd. ends
with a gain, i.e., it is higher at the close of the day compared to the opening
value. Which trader got the maximum return on that day?

(1) Bikram
(2) Chetan
(3) Abdul
(4) Bikram or Chetan
(5) cannot be determined

Ans.Abdul-A, Bikram – B, and Chetan -C

A B C
Purchase all at a Purchase x Purchase shares worth
10:00AM
time shares Rs.Y
Purchase x Purchase shares worth
11:00AM -
shares Rs.Y
Purchase x Purchase shares worth
12.00 Noon -
shares Rs.Y
Purchase x Purchase shares worth
1:00 PM -
shares Rs.Y
Purchase x Purchase shares worth
2:00 Pm -
shares Rs.Y
3:00 PM Sells all at a time Sells all 5 x Sells all shares
 shares
Profit or loss=|(Sale value at 3 Pm) – (investment in Purchase)|

Ans.Consider following two cases of the fluctuting prices of shares of

company XYZ

Case Case
A B C A B C
I II
10:00 AM 10 5 shares 1 shares Rs. 20 20 5 shares 1 shares Rs. 20
11:00 AM 20 1 shares Rs. 20 10 1 shares Rs. 20
12 noon 10 1 shares Rs. 20 5 1 shares Rs. 20
01:00 PM 20 1 shares Rs. 20 20 1 shares Rs. 20
02:00 PM 10 1 shares Rs. 20 10 1 shares Rs. 20
Total
Rs. 50 Rs. 70 Rs. 100 Rs. 100 Rs. 65 Rs. 100
Investment
No. of shares 5 5 8 5 5 10
5* 5* 8* 5* 5* 10 *
Closing Price 20 30
20=100 20=100 20=160 30=150 30=150 30=300

In case I, Abdual got maximum returns while in

Case.II Chetan got maximum Returns. Thus we cannot determine the trader
gaining maximum retunrs. Hence, [5]

Q.44. Which one of the following statements is always true?

(1) Abdul will not be the one with the minimum return
(2) Return for Chetan will be higher than that of Bikram
(3) Return for Bikram will be higher than that of Chetan
(4) Return for Chetan cannot be higher than that of Abdul
(5) none of the above

Ans. Refering to case II, statement [1], [3] and [4] canot be always ture
consider case III

Case III A* B C
10:00 AM 10 5 shares 1 share Rs.99
11:00 AM 9 1 Share Rs.99
12 noon 11 1 Share Rs.99
1:00 PM 9 1 Share Rs.99
2:00 PM 1 Share Rs.99
In total Investment Rs. 50 Rs. 50 Rs. 495
No. of shares 5 5 49.9
Closing Price 12 512=60 512=60 49.912=598.8

As in case III Bikram and Chetan can be equal,statement II cannot be

always true.

Hence,[5]

Q.45. On a “boom” day the price_of XY Ltd keeps rising throughout the day
and peaks at the close of the day. Which trader got the minimum return on
that day?

(1) Bikram
(2) Chetan
(3) Abdul
(4) Abdul or Chetan
(5) cannot be determined

One day, two other traders, Dane and Emilyjoined Abdul ,Bikram and Chetan
for trading in the shares of XYZ Ltd. Dane followed a strategy of buying
equal numbers of shares at 10 am, 11 am and 12 noon, and selling the
same numbers at 1 pm, 2 pm and 3 pm. Emily, on the other hand, followed
the strategy of buying shares using all her money at 10 am and selling all of
them at 12 noon and again buying the shares for all the money at 1 pm and
again selling all of them at the close of the day at 3 pm.At the close of the
day the following was observed:

i. Abdul lost money in the transactions

ii. Both Dane and Emily made profits.

iii.There was an increase in share price during the closing hour compared to
the price at 2 pm

iv. Share price at 12 noon was lower than the opening price.

Ans. Consider Case IV

Case IV A B C
10:00 AM 10 5 shares 1 Share Rs. 50
12:00 AM 20 1 Share Rs. 50
12 Noon 30 1 Share Rs. 50
1:00 PM 40 5 shares 1 Share Rs. 50
2:00 Pm 50 5 shares 1 Share Rs. 50
In Total Investment Rs.50 Rs. 150 Rs. 250
No.of shares 5 5 11.42
Closing Price 60 5 * 60 = 300 5 * 60 = 300 685.2

Thus Bikram earns minimum Return. Hence [1]

Q.46. Share price was at its highest at

(1) 10am
(2) 11 am
(3) 1 pm
(4) Abdul or Chetan
(5) cannot be determined

Ans

10:AM 11:AM 12 NOON 1:00 PM 2:00 PM 3:00 PM

Share Price a b c d e f

From (i) a >f

Consider Emily invests Rs.x.

AT 10 pm Emily purchased shares, sold at 12 noon for

At 1 PM, Emily purchased shares ,finally at 3 pm earned

From, (ii) .......(1)

Dane made profit implies

(d + e + f) – (a + b + c) > 0….........(2)
From (1)
(f-a) < 0
(d-c) < 0
(e – b) > 0 (for 2))
i.e., e > b and e < f ….from (iii)
Thus ,a > f > e > b and a > c > d

Thus.Share price was highest at 10 a am.Hence,[1]

Q.47. Which of the following is necessarily false?

(1) Share price was at its lowest at 2 pm

(2) Share price was at its lowest at 11 am
(3) Share price at 1 pm was higher than the share price at 2 pm
(4) Share price at 1 pm was higher than the share price at 12 noon
(5) none of the above

Ans. Refering to answer to 46

c > d therefore,
statement (4) is false.
e is not lowest price, statement (1) is also false

Thus,[1] and,[4] both are right answers.

Directions for Questions 48 to 50 Answer the following Questions based on the

information given below:

There are 100 employees in an organization across five departments. The following table
gives the departement-wise distribution of average age, average basic pay and allowances.
The gross pay of an employee is the sum of his/her basic pay and allowances.

Average
Number of Average allowances(% of
Department Basic
Employees Age(Years) Basic Pay)
Pay(Rs)
HR 5 45 5000 70
Marketing 30 35 6000 80
Finance 20 30 6500 60
Business
35 42 7500 75
Development
Maintenance 10 35 5500 50

There are limited numbers of employees considered for transfer/promotion across

departments. Whenever a person is transferred/promoted from a department of lower
average age to a department of higher average age, he/she will get an additional allowance
of of basic pay over and above his/her current allowance. There will not be any change
in pay structure if a person is transferred/promoted from a department with higher average
age to a department with lower average age.

Questions below are independent of each other.

Q. 48. What is the approximate percentage change in the average gross pay of the HR
department due to transfer of a 40-yr old person with basic pay of Rs. 8000 from the
Marketing department?
Ans. Gross pay of HR department = 5000×1.7×5 = 42500
Average gross pay = 8500
Gross pay of a new person in HR department = 8000×1.9 = 15200
Total new gross pay of HR = 57700

Hence, [3]

Q. 49. There was a mutual transfer of an employee between Marketing and Finance
departments and transfer of one employee from Marketing to HR. As a result, the average
age of Finance department increased by one year and that of marketing department
remained the same. What is the new average age of HR department?

(1) 30
(2) 35
(3) 40
(4) 45
(5) cannot be determined

Ans.

From (i) and (ii), z = 15

Average age for HR

Hence, [3]

Q.50. If two employees (each with a basic pay of Rs. 6000) are transferred
from Maintenance department to HR department and one person (with a
basic pay of Rs. 8000)was transferred from Marketing department to HR
department, what will be the percentage change in average basic pay of HR
department?
(1) 10.5 %
(2) 12.5 %
(3) 15 %
(4) 30 %
(5) 40 %

Ans.
Current average basic pay of HR department = 5000

Percentage change:

Hence,[2]