IIFT 2012 LRDI | Previous Year IIFT Paper
1.
IIFT 2012 LRDI
| LR - Rank & Ordering
In the word HEIRARCHICAL, If the first and second, third and fourth, fourth and fifth, fifth and sixth letters are interchanged up to the last letter, which are the two position from the left on which R would appear and on which positions would C appear twice?
Answer: Option
A
Explanation :
From the word ‘HEIRARCHICAL, the final word formed after interchanging the first and second, third and fourth, fifth and sixth letters and so on is EHRIRAHCCILA.
From the left, R is at positions 3 and 5.
From the left, C is at positions 8 and 9.
Hence, option (a).
2.
IIFT 2012 LRDI
| LR - Series
In the following series, what numbers should replace the question marks?
–1, 0, 1, 0, 2, 4, 1, 6, 9, 2, 12, 16, ? ? ?
- A.
11, 18, 27
- B.
–1, 0, 3
- C.
3, 20, 25
- D.
Cannot be ascertained
Answer: Option
C
Explanation :
This series contains three series in itself.
Series 1 (T1, T4, T7, T10): –1, 0, 1, 2 (AP with a common difference of +1)
Series 2 (T2, T5, T8, T11): 0, 2, 6, 12 (Differences between two terms increase by 2)
Series 3 (T3, T6, T9, T12): 1, 4, 9, 16 (Squares of consecutive numbers)
The next three numbers will thus be 3, 20 and 25.
Hence, option (c).
3.
IIFT 2012 LRDI
| LR - Coding Decoding
Here are some words translated from an artificial language.
dionot means oak tree
blyonot means oak leaf
blycrin means maple leaf
Which word could mean “maple syrup”
- A.
blymuth
- B.
hupponot
- C.
patricrin
- D.
crinweel
Answer: Option
C
Explanation :
From the first two statements, we can infer that ‘onot’ means ‘oak’. Note that ‘onot’ is in the second half of the word in the artificial language but ‘oak’ is the first word in the meaning.
From the second and third statement, we infer that ‘bly’ means ‘leaf’, so ‘crin’ will mean ‘maple’. Note that ‘crin’ is in the second half of the word.
We need to find those words from the artificial language that mean ‘maple syrup’.
Observe that ‘crin’ means ‘maple’.
Based on the pattern, since maple is the first word in ‘maple syrup’, ‘crin’ will be the second half of the coded word. That is true only for option 3.
Hence, option (c).
4.
IIFT 2012 LRDI
| LR - Board Games
Gita is older than her cousin Mita. Mita’s brother Bhanu is older than Gita. When Mita and Bhanu are visiting Gita, all three like to play a game of Monopoly. Mita wins more often than Gita does.
Which of the following can be concluded from the above?
- A.
When he plays Monopoly with Mita and Gita. Bhanu often loses.
- B.
Of the three, Gita is the oldest
- C.
Gita hates to lose at Monopoly
- D.
Of the three, Mita is the youngest.
Answer: Option
D
Explanation :
From the information we can infer that Bhanu is the eldest, since Bhanu is elder than Gita, who in turn is elder than Mita. So Mita is the youngest.
Hence, option (d).
5.
IIFT 2012 LRDI
| LR - Rank & Ordering
Priya is taller than Tiya and shorter than Siya.
Riya is shorter than Siya and taller than Priya.
Riya is taller than Diya, who is shorter than Tiya.
Arrange them in order of ascending heights.
- A.
Priya – Siya – Riya – Tiya - Diya
- B.
Riya – Siya – Priya – Diya - Tiya
- C.
Siya – Riya – Priya – Tiya - Diya
- D.
Siya – Priya – Riya – Diya - Tiya
Answer: Option
C
Explanation :
The people arranged in ascending order of heights are: Diya, Tiya, Priya, Riya, Siya. Since there is no option which matches this sequence in ascending order and in the absence of ‘None of these’ as an option, option 3 is marked as the answer as it is the only sequence that has a valid order of heights.
Hence, option (c).
6.
IIFT 2012 LRDI
| LR - Syllogisms
Statement 1: All chickens are birds.
Statement 2: Some chickens are hens.
Statement 3: Female birds lay eggs.
If the above statement are facts, then which of the following must also be a fact?
I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.
Answer: Option
D
Explanation :
Statements I and II can be represented as venn diagrams in the following ways:
As ‘Female birds lay eggs’, so ‘All birds lay eggs’ is incorrect.
Conclusion ‘Hens are Birds’ may or may not be true as can be seen from the Venn diagrams.
Conclusion ‘Some chickens are not hens’ is also not definitely true as can be seen from the third Venn diagram.
Hence, option (d).
7.
IIFT 2012 LRDI
| LR - Syllogisms
Statement 1: Pictures can tell a story.
Statement 2: All storybooks have pictures.
Statement 3: Some storybooks have words.
If the above statement are facts, then which of the following must also be a fact?
I. Pictures can tell a story better than words can.
II. The stories in storybook are very simple
III. Some storybooks have both words and pictures.
Answer: Option
C
Explanation :
Since all storybooks have pictures and some storybooks have words, so some storybooks definitely have both words and pictures.
The other two conclusions cannot be derived from the statements.
Hence, option (c).
8.
IIFT 2012 LRDI
| LR - Series
If IQS : LNV, then JRM : ?
- A.
OKS
- B.
MOP
- C.
NIP
- D.
MOQ
Answer: Option
B
Explanation :
Considering the positions of the letters in the alphabet,
I + 3 = L, Q – 3 = N and S + 3 = V
So J + 3 = M, R – 3 = O and M + 3 = P.
Hence the correct analogy is JRM : MOP
Hence, option (b).
Some information is provided in the paragraph below. Answer the questions based on this information.
A weekly television show routinely stars six actors, J, K, L, M, N and O. Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that friends work together and enemies do not. Also, as the actors have become more popular, some of them need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
- J will only work on episodes on which M is working
- N will not work with K under any circumstances.
- M can only work every other week, in order to be free to film a movie.
- At least three of the actors must appear in every weekly episode.
9.
IIFT 2012 LRDI
| LR - Arrangements
In a show about L getting a job at the same company J already works for and K used to work for, all three actors will appear. Which of the following is true about the other actors who may appear?
- A.
M, N and O must all appear.
- B.
M may appear and N must appear.
- C.
M must appear and O may appear.
- D.
O may appear and N may appear.
Answer: Option
C
Explanation :
L, J and K are appearing in this show. Since J is working in this episode so M will also be there. But since K is present in this show, N cannot be there. So M must appear and O may appear. We can eliminate options 1, 2 and 4.
Hence, option (c).
10.
IIFT 2012 LRDI
| LR - Arrangements
Next week, the show involves N’s new car and O’s new refrigerator. Which of the following is true about the actors who may appear?
Answer: Option
D
Explanation :
In this show N is working so K will not be working. So we can eliminate options 1, 2 and 3.
Hence, option (d).
Answer the following question based on the information given below.
Era is in charge of seating the speakers at a table. In addition to the moderator, there will be a pilot, a writer, an attorney, and an explorer. The speakers’ names are Gaj, Hema, Jaya, Kumar, and Lalit
- The moderator must sit in the middle, in seat #3
- The attorney cannot sit next to the explorer
- Lalit is the pilot
- The writer and the attorney sit on either side of the moderator
- Hema, who is not the moderator, sits between Kumar and Jaya.
- The moderator does not sit next to Jaya or Lalit
- Gaj, who is attorney, sits in seat #4.
11.
IIFT 2012 LRDI
| LR - Arrangements
Who is moderator?
- A.
Lalit
- B.
Gaj
- C.
Hema
- D.
Kumar
Answer: Option
D
Explanation :
The moderator is in seat 3 and Gaj, the attorney, is in seat 4. So, as the moderator has the writer and attorney on his sides, the writer is in seat 3.
The attorney is not next to the explorer. So the explorer is in seat 1 and hence the pilot is in seat 5.
Thus we have,
Hema is not the moderator and she sits between Kumar and Jaya. We can see from the table that Hema is the writer. The moderator is not Jaya so the moderator is Kumar.
We thus have:
From the above table, Kumar is the moderator.
Hence, option (d).
12.
IIFT 2012 LRDI
| LR - Arrangements
Where does Jaya Sit?
- A.
seat #1
- B.
seat #2
- C.
seat #3
- D.
seat #4
Answer: Option
A
Explanation :
The moderator is in seat 3 and Gaj, the attorney, is in seat 4. So, as the moderator has the writer and attorney on his sides, the writer is in seat 3.
The attorney is not next to the explorer. So the explorer is in seat 1 and hence the pilot is in seat 5.
Thus we have,
Hema is not the moderator and she sits between Kumar and Jaya. We can see from the table that Hema is the writer. The moderator is not Jaya so the moderator is Kumar.
We thus have:
According to the table given in the answer to the first question of the set, Jaya sits on Seat 1.
Hence, option (a).
Answer the following question based on the information given below.
A number arrangement machine, when given a particular input, rearranges it using a particular rule. The following is the illustration and steps of the arrangement.
Arrangement at Step V is the last for the given input
13.
IIFT 2012 LRDI
| LR - Arrangements
What should be the fourth step of the following input?
64 326 187 87 118 432 219 348
- A.
64 432 87 326 118 187 219 348
- B.
64 432 87 348 326 187 118 219
- C.
64 432 87 348 118 326 187 219
- D.
None of the above
Answer: Option
C
Explanation :
The output has the numbers arranged in the order:
smallest, largest, second smallest, second largest, third smallest, third largest and so on.
In the first step, the smallest number is moved to position 1 and the other numbers retain their relative positions.
In the second step, the largest number is moved to position 2 and the other numbers retain their positions.
This continues till the desired output is obtained.
The steps for the given input are:
Hence, option (c).
14.
IIFT 2012 LRDI
| LR - Arrangements
How many steps will be required to get the final output from the following input?
319 318 746 123 15 320 78 426
- A.
Four
- B.
Five
- C.
Six
- D.
Seven
Answer: Option
D
Explanation :
∴ Seven steps are needed to get the final output.
Hence, option (d).
15.
IIFT 2012 LRDI
| LR - Directions
P ≠ Q implies that Q is standing 2 kms to the right of P
P * Q implies that Q is 2 kms to the left of P
P @ Q implies that Q is 2 kms below P
P Q implies that Q is standing 2 kms above P
If F ≠ S B * V, in which direction is F with respect to V?
- A.
North
- B.
South
- C.
East
- D.
West
Answer: Option
B
Explanation :
F ≠ S $ B * V
F ≠ S implies S is standing 2 kms to the right of F.
S $ B implies B is standing 2 kms above S.
B * V implies V is standing 2 kms to the left of B.
So F is standing to the south of V.
Hence, option (b).
16.
IIFT 2012 LRDI
| LR - Directions
Immediately after leaving his house, Ratvik turned right and walked for 40 m. Then he turned left and walked for 20 mts. Then he again took a left turn and walked for 30 mts. There he met a friend and turned right to go to the coffee shop 20 mts away. After having coffee, he walked back straight for 40 mts in the direction he had come from. How far is he from his house?
- A.
20 m
- B.
0 m
- C.
10 m
- D.
40 m
Answer: Option
C
Explanation :
The path that Ritvik followed is as follows:
He is thus 10 m away from his house.
Hence, option (c).
17.
IIFT 2012 LRDI
| LR - Series
Find the missing alphabet.
Answer: Option
C
Explanation :
The position numbers of the letters in the alphabet are as follows:
We can see that in each column the number in the third row is the product of the numbers in the first and second rows.
Thus the missing number is 20/5 = 4
The fourth letter of the alphabet is D.
Hence, option (c).
18.
IIFT 2012 LRDI
| LR - Arrangements
In a four-day period – Monday through Thursday – each of the following temporary office workers worked only one day, each a different day. Jai was scheduled to work on Monday, but he traded with Raj, who was originally scheduled to work on Wednesday. Farid traded with Kajal, who was originally scheduled to work on Thursday. Finally, Jai traded with Kajal. After all the switching was done, who worked on Tuesday?
- A.
Jai
- B.
Farid
- C.
Raj
- D.
Kajal
Answer: Option
A
Explanation :
The final arrangement after all the exchanges will be as follows:
∴ Jai worked on Tuesday.
Hence, option (a).
19.
IIFT 2012 LRDI
| LR - Series
Which four bits can be joined together to form two words that have opposite meanings?
ERT, UCE, DES, END, EXP, EAR, AND, SIP, RED, GOS
1 2 3 4 5 6 7 8 9 10
- A.
2, 5, 7, 9
- B.
1, 3, 8, 10
- C.
1, 5, 8, 10
- D.
2, 4, 7, 8
Answer: Option
A
Explanation :
Consider option 1 – 2,5,7,9.
If we join 2 and 9, we get REDUCE and if join 5 and 7, we get EXPAND. Reduce and Expand are antonyms.
Hence, option (a).
20.
IIFT 2012 LRDI
| LR - Clocks
If a clock is kept on the table in such a way that at 3:10 pm the hour hand points south, after how much time will the minute hand point east?
- A.
20 minutes
- B.
35 minutes
- C.
50 minutes
- D.
90 minutes
Answer: Option
C
Explanation :
At 3:10, the hour hand is pointing south. So according to this position, the 9 hour mark is in the North and the 12 hour mark is in the east. The minute hand will point east when it points to the 12 hour mark, which will be after 50 minutes.
Hence, option (c).
Answer the following question based on the information given below.
Analyse the following chart showing the exports and imports of Sono Ltd. and answer the questions based on this chart.
21.
IIFT 2012 LRDI
| DI - Tables & Graphs
Approximately by what percentage are the total Exports greater/ smaller than the total imports for the given period?
- A.
Greater by 9 percent
- B.
Smaller by 10 percent
- C.
Smaller by 9 percent
- D.
Greater by 10 percent
Answer: Option
C
Explanation :
The following table can be constructed on the basis of the data given:
Total Exports is smaller than total imports by:
× 100 = 9.21% ≈ 9%
Hence, option (c).
22.
IIFT 2012 LRDI
| DI - Tables & Graphs
If the absolute difference between imports and exports are ranked in ascending order, which year gets 4th rank?
- A.
2010
- B.
2008
- C.
2009
- D.
None of the above
Answer: Option
A
Explanation :
The following table can be constructed on the basis of the data given:
According to the table, the lowest absolute difference is in year 2007 and is equal to 0.
The second and third absolute lowest differences are in the years 2005 and 2009 and are equal to 25.
The fourth lowest absolute difference is in the year 2010 and is equal to 60.
Hence, option (a).
Note: This question can be answered by simple observation of the graph as well.
23.
IIFT 2012 LRDI
| DI - Tables & Graphs
In which year was the fifth largest annual percentage increase in exports recorded?
- A.
2007
- B.
2005
- C.
2009
- D.
None of the above
Answer: Option
A
Explanation :
The following table can be constructed on the basis of the data given:
From the table,
Increase in exports in 2003 = × 100 = 36.36%
Increase in exports in 2005 = × 100 = 33.33%
Increase in exports in 2007 = × 100 = 14.28%
Increase in exports in 2008 = × 100 = 37.50%
Increase in exports in 2010 = × 100 = 30.00%
So the fifth highest percentage increase will be in the year 2007.
Hence, option (a).
24.
IIFT 2012 LRDI
| DI - Tables & Graphs
Which year saw the second largest annual percentage increase in imports?
- A.
2010
- B.
2005
- C.
2006
- D.
None of the above
Answer: Option
A
Explanation :
There is an increase in imports in only two years.
Increase in imports in 2006 = × 100 = 22.22%
Increase in imports in 2010 = × 100 = 14.28%
So the second highest percentage increase will be in the year 2010.
Hence, option (a).
25.
IIFT 2012 LRDI
| DI - Tables & Graphs
What is the approximate percentage point difference in the maximum annual percentage increase in export and the minimum annual percentage decrease in Imports?
Answer: Option
A
Explanation :
the maximum annual percentage increase in exports is in the year 2008 i.e. 37.5%
The minimum annual percentage decrease in imports is in the year 2003 i.e. (25/275) × 100 = 9.09%
∴ The difference ≈ 28 percentage points.
Hence, option (a).
Answer the following question based on the information given below.
Table: Production of Major Minerals and Metals (Million Tonnes)
26.
IIFT 2012 LRDI
| DI - Tables & Graphs
Which mineral/metal witnessed highest growth rate in production from 2005 to 2011?
- A.
Iron Ore
- B.
Aluminium
- C.
Gold
- D.
Copper
Answer: Option
C
Explanation :
Growth rate in production = × 100
∴ The maximum growth rate was witnessed by gold.
Hence, option (c).
27.
IIFT 2012 LRDI
| DI - Tables & Graphs
Which year has witnessed highest absolute increase in total production of minerals and metals?
- A.
2006
- B.
2008
- C.
2011
- D.
None of the above
Answer: Option
B
Explanation :
Growth rate in production = × 100
From the table, the year 2008 has witnessed the highest absolute increase of (449 – 380) = 69 million tonnes in total production of minerals and metals.
Hence, option (b).
28.
IIFT 2012 LRDI
| DI - Tables & Graphs
Highest annual growth rate in production is recorded in
- A.
Iron Ore in 2008
- B.
Gold in 2011
- C.
Aluminium in 2008
- D.
Gold in 2006
Answer: Option
A
Explanation :
Growth rate in production = × 100
According to the table:
Iron ore production in 2008 grows by × 100 ≈ 29%
Gold production in 2011 grows by × 100 = 25%
Aluminium production in 2008 grows by × 100 < 25%
Gold production in 2006 grows by × 15 = 20%
Hence, option (a).
29.
IIFT 2012 LRDI
| DI - Tables & Graphs
If annual average growth rate in production exhibited during 2006 to 2011 continues for next 4 years, then what will be the approximate production of aluminium in the year 2015?
- A.
125 million tonnes
- B.
140 million tonnes
- C.
155 million tonnes
- D.
160 million tonnes
Answer: Option
B
Explanation :
Growth rate in production = × 100
From the table given in the solution to the first question of the set:
Production of Aluminium in 2006 = 75 million tonnes.
Production of Aluminium in 2011 = 105 million tonnes
∴ Growth rate = × 100 = 40%
Average growth rate = = 8%
If this rate continues, the production of aluminium in 2015 will be
105 + = 138.6 million tonnes
The closest option is 140 million tonnes.
Hence, option (b).
Note:
The question does not specify whether simple or compounded average growth is to be considered. If we consider a compounded growth, the annual rate of growth would be
× 100 = 106, which is 6%
The production in 2015 would then be 105 × (1.06)4 = 132.56, which is not available in the options.
30.
IIFT 2012 LRDI
| DI - Tables & Graphs
In which year is the proportion of copper production in the total mineral and metal production the highest?
- A.
2010
- B.
2008
- C.
2009
- D.
2007
Answer: Option
D
Explanation :
Growth rate in production = × 100
From to the table :
Proportion of copper production in each year:
Hence we see that the copper production as a proportion of the total mineral and metal production is maximum in the year 2007.
Hence, option (d).
31.
IIFT 2012 LRDI
| DI - Tables & Graphs
Which mineral/metal witnessed the minimum growth rate in production from 2006 to 2010?
- A.
Aluminium
- B.
Coal
- C.
Copper
- D.
Gold
Answer: Option
D
Explanation :
By observation we can see that Aluminium, Coal and Copper have grown about 30% from 2006 to 2010, whereas the growth in gold is much less than 30%.
Hence, option (d).
Answer the following question based on the information given below.
32.
IIFT 2012 LRDI
| DI - Tables & Graphs
Which region witnessed the highest compound annual growth rate (CAGR) of tourists arriving into India?
Answer: Option
A
Explanation :
Even though the question asks for CAGR, we only need to compare percentage growth since the time period is the same for all regions.
Eastern Europe:
= ≈ 50%
Central & South America:
= < 50%
West Asia:
= < 50%
South East Asia:
= < 50%
Thus Eastern Europe has the highest CAGR.
Hence, option (a).
33.
IIFT 2012 LRDI
| DI - Tables & Graphs
Tourists arriving into India from how many regions experienced CAGR of more than 10%?
- A.
Three
- B.
Four
- C.
Five
- D.
Two
Answer: Option
A
Explanation :
A CAGR of 10% for 3 years = a growth which is (1.1)3 times, or 33.1%
∴ The difference in the number of tourists in 2010 and in 2007 has to be more than one third of the number of tourists in 2007.
By observation, we can see that this is true only for Eastern Europe, West Asia and South East Asia.
Hence, option (a).
34.
IIFT 2012 LRDI
| DI - Tables & Graphs
The highest annual growth rate recorded in tourists arriving from any region in any year is
- A.
Africa
- B.
Eastern Europe
- C.
West Asia
- D.
East Asia
Answer: Option
D
Explanation :
For Africa the highest annual growth rate is recorded in the year 2010. It is
× 100 = 24.35%
For Eastern Europe the highest annual growth rate is recorded in the year 2010.It is
× 100 = 24.07%
For West Asia the highest annual growth rate is recorded in the year 2008. It is
× 100 = 22.64%
For East Asia the highest annual growth rate is recorded in the year 2010. It is
× 100 = 27.61%
Hence, highest annual growth is recorded for East Asia.
Hence, option (d).
Answer the following question based on the information given below.
Following charts present data about the domestic sales and production of LCD, LED and Plasma TVs produced and sold in a country (in number of units). Differences in production and sales will be bridged through external trade (i.e. exports and imports) of the TV category during a given year.
35.
IIFT 2012 LRDI
| DI - Tables & Graphs
What year has registered the highest external trade in total number of TV units?
- A.
2006
- B.
2007
- C.
2008
- D.
2010
Answer: Option
C
Explanation :
External trade = |Sales – Production|
From the table above, the highest external trade is done in year 2008.
Hence, option (c).
36.
IIFT 2012 LRDI
| DI - Tables & Graphs
In which year are the net exports (exports – imports) of all the categories taken together the highest?
- A.
2006
- B.
2007
- C.
2009
- D.
2010
Answer: Option
B
Explanation :
External trade = |Sales – Production|
From the table, net exports are the highest in the year 2007.
Hence, option (b).
37.
IIFT 2012 LRDI
| DI - Tables & Graphs
Examine the following statements
I. LCD TVs were always exported
II. Net exports of all the categories of TVs for all the years is 1275
III. In only one year the production of plasma TVs fell short of sales
Select the best option.
- A.
Statement I alone is correct
- B.
Statement I and II are correct
- C.
Statement I and III are correct
- D.
All three statements are correct
Answer: Option
C
Explanation :
External trade = |Sales – Production|
According to the table:
Statement 1 is always true.
Statement 2 is false as the net exports of all the categories of TVs for all the years is 1240.
Statement 3 is also true as the production of plasma TV’s fell short of sales only in the year 2009.
Hence, option (c).
Answer the following question based on the information given below.
Study the following pie charts regarding to sales of 5 models of cars for the years 2010 and 2011, and answer the question.
38.
IIFT 2012 LRDI
| DI - Tables & Graphs
If the 2010 sales for all car models is 80,000 and these have grown by 25% in 2011, then what is the approximate increase in the number of Figo cars sold in 2011 over 2010?
- A.
4,860
- B.
12,200
- C.
4,500
- D.
2,200
Answer: Option
A
Explanation :
Sales of Figo cars in 2010 = × 80000 = 7200
Sales of Figo cars in 2011 = × × 80000 = 12222
Hence the increase is the sales is 12222 – 7200 = 5022
The closest option is 4860.
Hence, option (a).
39.
IIFT 2012 LRDI
| DI - Tables & Graphs
If the 2010 sales for all car models is 80,000 and these have grown by 25% in 2011, then how many models have grown more than the average growth rate for all the models taken together?
- A.
2
- B.
3
- C.
4
- D.
None of the above
Answer: Option
B
Explanation :
We need to find the number of models for which the sales in 2011 are 25% more than the sales in 2010.
For ease of calculations let us assume that the total sales in 2011 are 360.
Then the sales in 2010 are = 288
Hence the sales grew by more than 25% only for three models - Figo, i10 and Honda City.
Hence, option (b).
Solution
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