# CAT 1993 LRDI | Previous Year CAT Paper

Previous year paper questions for CAT 1993 LRDI

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**Read the text and the numbered statements carefully and answer the questions given at the end.**

Four people of different nationalities live on the same side of a street in four houses each of different color. Each person has a different favorite drink. The following additional information is also known:

- The Englishman lives in the red house.
- The Italian drinks tea.
- The Norwegian lives in the first house on the left.
- In the second house from the right they drink milk.
- The Norwegian lives adjacent to the blue house.
- The Spaniard drinks fruit juice.
- Tea is drunk in the blue house.
- The white house is to the right of the red house.

**1. CAT 1993 LRDI | LR - Selection & Distribution**

The color of the Norwegian’s house is

- A.
yellow

- B.
white

- C.
blue

- D.
red

Answer: Option A

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**Explanation** :

If we were to number the houses 1- 2-3-4 from left to right, the information given in the question can be depicted as:

The colour of the Norwegian’s house is yellow.

Workspace:

**Read the text and the numbered statements carefully and answer the questions given at the end.**

Four people of different nationalities live on the same side of a street in four houses each of different color. Each person has a different favorite drink. The following additional information is also known:

- The Englishman lives in the red house.
- The Italian drinks tea.
- The Norwegian lives in the first house on the left.
- In the second house from the right they drink milk.
- The Norwegian lives adjacent to the blue house.
- The Spaniard drinks fruit juice.
- Tea is drunk in the blue house.
- The white house is to the right of the red house.

**2. CAT 1993 LRDI | LR - Selection & Distribution**

Milk is drunk by

- A.
Norwegian

- B.
English

- C.
Italian

- D.
None of the above

Answer: Option B

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**Explanation** :

If we were to number the houses 1- 2-3-4 from left to right, the information given in the question can be depicted as:

Milk is drunk by the Englishman.

Workspace:

**Read the text and the numbered statements carefully and answer the questions given at the end.**

Four people of different nationalities live on the same side of a street in four houses each of different color. Each person has a different favorite drink. The following additional information is also known:

- The Englishman lives in the red house.
- The Italian drinks tea.
- The Norwegian lives in the first house on the left.
- In the second house from the right they drink milk.
- The Norwegian lives adjacent to the blue house.
- The Spaniard drinks fruit juice.
- Tea is drunk in the blue house.
- The white house is to the right of the red house.

**3. CAT 1993 LRDI | LR - Selection & Distribution**

The Norwegian drinks

- A.
milk

- B.
cocoa

- C.
tea

- D.
fruit juice

Answer: Option B

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**Explanation** :

If we were to number the houses 1- 2-3-4 from left to right, the information given in the question can be depicted as:

The Norwegian drinks Cocoa.

Workspace:

**Read the text and the numbered statements carefully and answer the questions given at the end.**

- The Englishman lives in the red house.
- The Italian drinks tea.
- The Norwegian lives in the first house on the left.
- In the second house from the right they drink milk.
- The Norwegian lives adjacent to the blue house.
- The Spaniard drinks fruit juice.
- Tea is drunk in the blue house.
- The white house is to the right of the red house.

**4. CAT 1993 LRDI | LR - Selection & Distribution**

Which of the following is not true?

- A.
Milk is drunk in the red house.

- B.
The Italian lives in the blue house.

- C.
The Spaniard lives in a corner house.

- D.
The Italian lives next to the Spaniard.

Answer: Option D

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**Explanation** :

The only statement that is not true is (d), as the Italian lives in house no. 2 and the Spaniard lives in house no. 4, which are not next to each other.

Workspace:

**Refer to the following information and answer the questions that follow.**

“Kya – Kya” is an island in the South Pacific. The inhabitants of “Kya – Kya” always answer any question with two sentences, one of which is always true and the other always false.

**5. CAT 1993 LRDI | LR - Binary Logic**

You find that your boat is stolen. You question three inhabitants of the island and they reply as follows:

John says, “I didn’t do it. Mathew didn’t do it.”

Mathew says. “I didn’t do it. Krishna didn’t do it.”

Krishna says. “I didn’t do it. I don’t know who did it.”

Who stole your boat?

- A.
John

- B.
Mathew

- C.
Krishna

- D.
None of them

Answer: Option B

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**Explanation** :

The best way to solve these kinds of questions is to assume that one of the statements is either true or false and thus figure out whether there is consistency in what everyone is saying.

Let us assume that John’s first statement is true. So his second statement must be false. This implies that Mathew did it. This makes Mathew’s first statement false. So the second statement has to be true. This implies that Krishna didn’t do it. So Krishna’s first statement is true and his second statement is false. Since all the statements are consistent with each other, the assumption made by us should be the correct one. So it is Mathew who stole the boat.

Workspace:

**Refer to the following information and answer the questions that follow.**

“Kya – Kya” is an island in the South Pacific. The inhabitants of “Kya – Kya” always answer any question with two sentences, one of which is always true and the other always false.

**6. CAT 1993 LRDI | LR - Binary Logic**

There is only one pilot on the island. You interview three men, Koik, Lony and Mirna. You also notice that Koik is wearing a cap.

Mirna says, “Lony’s father is the pilot. Lony is not the priest’s son.”

Koik says, “I am the priest. On this island, only priests can wear caps.”

Lony says, “I am the priest’s son. Koik is not the priest.”

Which of the following is true?

- A.
Lony is not Koik’s son.

- B.
Koik is the pilot.

- C.
Mirna is the pilot.

- D.
Lony is the priest.

Answer: Option B

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**Explanation** :

The best way to solve these kinds of questions is to assume that one of the statements is either true or false and thus figure out whether there is consistency in what everyone is saying.

The key here are the statements made by Koik. Since we know that he is wearing a cap, if his first statement is false, then his second statement cannot be true. So his first statement is true and his second statement is false. This implies that Koik is the priest. This makes Lony’s second statement false and so his first statement is true. So Lony is Koik’s son. This makes Mirna’s second statement false and so his first statement is true. So Lony’s father is a pilot. Thus, Koik is the pilot. (Note: Koik is also the priest).

Workspace:

**Refer to the following information and answer the questions that follow.**

“Kya – Kya” is an island in the South Pacific. The inhabitants of “Kya – Kya” always answer any question with two sentences, one of which is always true and the other always false.

**7. CAT 1993 LRDI | LR - Binary Logic**

You are walking on the road and come to a fork. You ask the inhabitants Ram, Laxman and Lila. ”Which road will take me to the village?”

Ram says, “I never speak to strangers. I am new to these parts.”

Laxman says, “I am married to Lila. Take the left road.”

Lila says, “I am married to Ram. He is not new to this place.”

Which of the following is true?

- A.
Left road takes you to the village.

- B.
Right road takes you to the village.

- C.
Lila is married to Laxman.

- D.
None of these.

Answer: Option A

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**Explanation** :

The best way to solve these kinds of questions is to assume that one of the statements is either true or false and thus figure out whether there is consistency in what everyone is saying.

The first statement of Ram is obviously false, as he is saying that he never speaks to a stranger, when he actually is. So he must be new to those parts. This makes the second statement of Lila false. So she should be married to Ram. This makes the first statement of Ram false. So the left road should take you to the village.

Workspace:

**Refer to the following information and answer the questions that follow.**

**8. CAT 1993 LRDI | LR - Binary Logic**

You want to speak to the chief of the village. You question three inhabitants. Amar, Bobby and Charles. Only Bobby is wearing a red shirt.”

Amar says. “I am not Bobby’s son. The chief wears a red shirt.”

Bobby says, “I am Amar’s father. Charles is the chief.”

Charles says, “The chief is one among us. I am the chief.”

Who is the chief?

- A.
Amar

- B.
Bobby

- C.
Charles

- D.
None of them

Answer: Option B

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**Explanation** :

If you observe Charle’s statement carefully, you will figure out that his first statement is true and second statement is false. For instance, if his first statement is false, then his second statement cannot be true. There would be inconsistency in what he is talking. So Charles is not the chief. This makes Bobby’s second statement false and first statement true. So Bobby is Amar’s father and hence, Amar’s first statement is false. So his second statement must be true. This implies that the chief is wearing the red shirt. So Bobby is the chief.

Workspace:

**Study the graph below and answer the questions that follow.**

**Profit is defined as Sales - Expenditure**

**9. CAT 1993 LRDI | DI - Tables & Graphs**

In which year is the profit per rupee of equity the highest?

- A.
1991

- B.
1992

- C.
1993

- D.
1990 and 1991

Answer: Option C

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**Explanation** :

**The given graph can be represented in the following table:**

It is clear that the profit per rupee of equity is highest for 1993 viz. 0.64.

Workspace:

**Study the graph below and answer the questions that follow.**

**Profit is defined as Sales - Expenditure**

**10. CAT 1993 LRDI | DI - Tables & Graphs**

The simple annual growth rate in sales was the highest between the years?

- A.
1900-91

- B.
1991-92

- C.
1992-93

- D.
1990-92

Answer: Option C

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**Explanation** :

**The given graph can be represented in the following table:**

The simple annual growth rate in sales is maximum for the year 1992-93 viz. 20.75%.

Workspace:

**Study the graph below and answer the questions that follow.**

**Profit is defined as Sales - Expenditure**

**11. CAT 1993 LRDI | DI - Tables & Graphs**

In which year is the sales per rupee of expenditure the lowest?

- A.
1990

- B.
1991

- C.
1992

- D.
1993

Answer: Option B

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**Explanation** :

**The given graph can be represented in the following table:**

****Sales per rupee of the expenditure is lowest for the year 1991 viz. 1.04.

Workspace:

**Study the graph below and answer the questions that follow.**

**Profit is defined as Sales - Expenditure**

**12. CAT 1993 LRDI | DI - Tables & Graphs**

In which year is sales per rupee of equity the highest?

- A.
1990

- B.
1991

- C.
1992

- D.
1994

Answer: Option B

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**Explanation** :

**The given graph can be represented in the following table:**

Sales per rupee of equity is highest for 1991 viz. 11.5

Workspace:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

**13. CAT 1993 LRDI | DI - Tables & Graphs**

Which company had the lowest sales?

- A.
ANT

- B.
BAT

- C.
CAT

- D.
DAT

Answer: Option D

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**Explanation** :

Let the profits of CAT and DAT be x, Sales of CAT and BAT be y and sales of ANT be z. So we have

Now, it is said that the total expenses of CAT were Rs.10 lakhs. Thus, 5x = Rs.10 lakhs or x = Rs.2 lakhs. Also, total expenses of ANT were 10% less than those of CAT = Rs.9 lakhs. Hence, 0.9z = 9 lakhs or z = 10 lakhs. Finally, in case of CAT, since Sales – Expenditure = Profit, Sales = Expenditure + Profit = 6x = 12 lakhs, y = 12 lakhs.

Our final table will become:

From the above table, it can be seen that the company that had the lowest sales is DAT viz. Rs.6 lakhs.

Workspace:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

**14. CAT 1993 LRDI | DI - Tables & Graphs**

Which company had the highest total expenses?

- A.
ANT

- B.
BAT

- C.
CAT

- D.
DAT

Answer: Option C

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**Explanation** :

Let the profits of CAT and DAT be x, Sales of CAT and BAT be y and sales of ANT be z. So we have

Now, it is said that the total expenses of CAT were Rs.10 lakhs. Thus, 5x = Rs.10 lakhs or x = Rs.2 lakhs. Also, total expenses of ANT were 10% less than those of CAT = Rs.9 lakhs. Hence, 0.9z = 9 lakhs or z = 10 lakhs. Finally, in case of CAT, since Sales – Expenditure = Profit, Sales = Expenditure + Profit = 6x = 12 lakhs, y = 12 lakhs.

Our final table will become:

CAT had highest total expenses i.e., Rs.10 lakhs.

Workspace:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

**15. CAT 1993 LRDI | DI - Tables & Graphs**

Which company had the lowest profits?

- A.
ANT

- B.
BAT

- C.
CAT

- D.
DAT

Answer: Option A

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**Explanation** :

Let the profits of CAT and DAT be x, Sales of CAT and BAT be y and sales of ANT be z. So we have

Now, it is said that the total expenses of CAT were Rs.10 lakhs. Thus, 5x = Rs.10 lakhs or x = Rs.2 lakhs. Also, total expenses of ANT were 10% less than those of CAT = Rs.9 lakhs. Hence, 0.9z = 9 lakhs or z = 10 lakhs. Finally, in case of CAT, since Sales – Expenditure = Profit, Sales = Expenditure + Profit = 6x = 12 lakhs, y = 12 lakhs.

Our final table will become:

ANT had lowest profits i.e., Rs.1 lakh.

Workspace:

**16. CAT 1993 LRDI | DI - Tables & Graphs**

Which company had the highest profits.

- A.
ANT

- B.
BAT

- C.
CAT

- D.
DAT

Answer: Option B

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**Explanation** :

Let the profits of CAT and DAT be x, Sales of CAT and BAT be y and sales of ANT be z. So we have

Now, it is said that the total expenses of CAT were Rs.10 lakhs. Thus, 5x = Rs.10 lakhs or x = Rs.2 lakhs. Also, total expenses of ANT were 10% less than those of CAT = Rs.9 lakhs. Hence, 0.9z = 9 lakhs or z = 10 lakhs. Finally, in case of CAT, since Sales – Expenditure = Profit, Sales = Expenditure + Profit = 6x = 12 lakhs, y = 12 lakhs.

Our final table will become:

BAT had the highest profits i.e., Rs.2.4 lakhs.

Workspace:

**Study the graph below and answer the questions.**

Total Assets are defined as Net Fixed Assets + Net Current Assets + Investments

**17. CAT 1993 LRDI | DI - Tables & Graphs**

What is the approximate simple annual growth rate of Total Assets 1990 and 1993?

- A.
36%

- B.
12%

- C.
9%

- D.
27%

Answer: Option B

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**Explanation** :

The given graph can be represented in the following manner:

The growth rate of total assets between 1990-93 = $\frac{(30-22)}{22}$ = 36% But this is for a 3 year period.

Hence, simple average annual growth rate = $\frac{36}{3}$ = 12%.

Workspace:

**Study the graph below and answer the questions.**

Total Assets are defined as Net Fixed Assets + Net Current Assets + Investments

**18. CAT 1993 LRDI | DI - Tables & Graphs**

In any two consecutive years, the growth rate is lowest for

- A.
Net Fixed Assets.

- B.
Net Current Assets.

- C.
Investments.

- D.
Total Assets.

Answer: Option C

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**Explanation** :

The given graph can be represented in the following manner:

It can be seen that the growth rate is lowest for investments in 1990-91 viz. 50% decrease.

Workspace:

**Study the graph below and answer the questions.**

Total Assets are defined as Net Fixed Assets + Net Current Assets + Investments

**19. CAT 1993 LRDI | DI - Tables & Graphs**

Between 1991 and 1992, the highest growth rate was seen for

- A.
Net Fixed Assets

- B.
Net Current Assets.

- C.
Investments.

- D.
Total Assets.

Answer: Option C

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**Explanation** :

The given graph can be represented in the following manner:

Between 1991 and 1992, the highest growth rate was seen for investments viz. 100% increase.

Workspace:

**Study the graph below and answer the questions.**

Total Assets are defined as Net Fixed Assets + Net Current Assets + Investments

**20. CAT 1993 LRDI | DI - Tables & Graphs**

The only item which has not shown a negative growth in every year between 1990 and 1993 is

- A.
Net Fixed Assets.

- B.
Net Current Assets.

- C.
Investments.

- D.
Total Assets.

Answer: Option D

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**Explanation** :

The given graph can be represented in the following manner:

It can be seen that every individual item has shown a decrease in some year or the other. Only Total Assets has not followed this trend.

Workspace:

**Use the following information:**

Swetha, Swarna, Sneha and Soumya are four sisters who have an agreement that they share all snacks equally among themselves. One day, uncle Prem gave a box of cookies to Swetha. Since the other sisters were not around, Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box, Swarna came in, She took all the cookies from the box and divided them into four equal parts. Swetha and Swarna ate one part each and put the rest into the box. Just then Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all the four sisters ate their respective shares. In total, Soumya ate 3 cookies.

**21. CAT 1993 LRDI | LR - Mathematical Reasoning**

How many cookies, in total, did Sneha eat?

- A.
30

- B.
12

- C.
15

- D.
6

Answer: Option C

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**Explanation** :

Since Soumya was the last one to eat the cookies and she ate 3 cookies, the total number of cookies left when she entered the room = (3 × 4) = 12. This should be Soumya’s share that was left in the box uneaten. Hence, just before Soumya entered, Swetha, Sneha and Swarna would have eaten their share of 12 cookies each. Total number of cookies left when Sneha entered = (12 × 4) = 48. This in turn should have been the combined share of Sneha and Soumya (24 × 2) that was left in the box uneaten. So just before Sneha entered, Swetha and Swarna should have eaten 24 cookies each. In other, words number of cookies left, just before Swarna entered = (24 × 4) = 96. Now this should have been the combined share of Swarna, Sneha and Soumya (3 × 32) that was kept in the box by Swetha . So just before Swarna entered, Swetha must have eaten her share of 32 cookies. Hence, total number of cookies given by Prem uncle = (32 × 4) = 128.

The situation is also shown in the following table:

Sneha ate 15 cookies, in total.

Workspace:

**Use the following information:**

Swetha, Swarna, Sneha and Soumya are four sisters who have an agreement that they share all snacks equally among themselves. One day, uncle Prem gave a box of cookies to Swetha. Since the other sisters were not around, Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box, Swarna came in, She took all the cookies from the box and divided them into four equal parts. Swetha and Swarna ate one part each and put the rest into the box. Just then Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all the four sisters ate their respective shares. In total, Soumya ate 3 cookies.

**22. CAT 1993 LRDI | LR - Mathematical Reasoning**

How many cookies did uncle Prem give to Swetha?

- A.
128

- B.
156

- C.
256

- D.
192

Answer: Option A

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**Explanation** :

Since Soumya was the last one to eat the cookies and she ate 3 cookies, the total number of cookies left when she entered the room = (3 × 4) = 12. This should be Soumya’s share that was left in the box uneaten. Hence, just before Soumya entered, Swetha, Sneha and Swarna would have eaten their share of 12 cookies each. Total number of cookies left when Sneha entered = (12 × 4) = 48. This in turn should have been the combined share of Sneha and Soumya (24 × 2) that was left in the box uneaten. So just before Sneha entered, Swetha and Swarna should have eaten 24 cookies each. In other, words number of cookies left, just before Swarna entered = (24 × 4) = 96. Now this should have been the combined share of Swarna, Sneha and Soumya (3 × 32) that was kept in the box by Swetha . So just before Swarna entered, Swetha must have eaten her share of 32 cookies. Hence, total number of cookies given by Prem uncle = (32 × 4) = 128.

The situation is also shown in the following table:

Prem uncle gave 128 cookies to Swetha.

Workspace:

**Use the following information:**

Swetha, Swarna, Sneha and Soumya are four sisters who have an agreement that they share all snacks equally among themselves. One day, uncle Prem gave a box of cookies to Swetha. Since the other sisters were not around, Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box, Swarna came in, She took all the cookies from the box and divided them into four equal parts. Swetha and Swarna ate one part each and put the rest into the box. Just then Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all the four sisters ate their respective shares. In total, Soumya ate 3 cookies.

**23. CAT 1993 LRDI | LR - Mathematical Reasoning**

How many cookies, in total, did Swetha eat?

- A.
32

- B.
142

- C.
72

- D.
71

Answer: Option D

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**Explanation** :

Since Soumya was the last one to eat the cookies and she ate 3 cookies, the total number of cookies left when she entered the room = (3 × 4) = 12. This should be Soumya’s share that was left in the box uneaten. Hence, just before Soumya entered, Swetha, Sneha and Swarna would have eaten their share of 12 cookies each. Total number of cookies left when Sneha entered = (12 × 4) = 48. This in turn should have been the combined share of Sneha and Soumya (24 × 2) that was left in the box uneaten. So just before Sneha entered, Swetha and Swarna should have eaten 24 cookies each. In other, words number of cookies left, just before Swarna entered = (24 × 4) = 96. Now this should have been the combined share of Swarna, Sneha and Soumya (3 × 32) that was kept in the box by Swetha . So just before Swarna entered, Swetha must have eaten her share of 32 cookies. Hence, total number of cookies given by Prem uncle = (32 × 4) = 128.

The situation is also shown in the following table:

Swetha ate 71 cookies, in total.

Workspace:

**Use the following information:**

**24. CAT 1993 LRDI | LR - Mathematical Reasoning**

How many cookies, in total, did Swarna eat?

- A.
9

- B.
30

- C.
39

- D.
78

Answer: Option C

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**Explanation** :

The situation is also shown in the following table:

Swarna ate 39 cookies, in total.

Workspace:

**Use the following information:**

A professor keeps data on students tabulated by performance and sex of the student . The data is kept on

a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be

recovered :

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:

- Half the students were either excellent or good.
- 40% of the students were females.
- One third of the male students were average.

**25. CAT 1993 LRDI | DI - Tables & Graphs**

How many students were both female and excellent?

- A.
0

- B.
8

- C.
16

- D.
32

Answer: Option A

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**Explanation** :

Since 40% of the students were females, i.e., 32 students. Total number of students was 80 and total number of male students was 48. Since half of the students were either excellent or good, (number of average students) = (number of good students + number of excellent students) = 40, number of excellent students = 40 – 30 = 10. As 1/3rd of male students were average, total number of male students that were average = $\left(\frac{1}{3}\times 48\right)$ = 16 and hence, total number of male students that were good = (48 – 16 – 10) = 22.

Based on the above revelations, the following table can be drawn:

Number of students who were both female and excellent = 0.

Workspace:

**Use the following information:**

A professor keeps data on students tabulated by performance and sex of the student . The data is kept on

a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be

recovered :

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:

- Half the students were either excellent or good.
- 40% of the students were females.
- One third of the male students were average.

**26. CAT 1993 LRDI | DI - Tables & Graphs**

How many students were both male and good?

- A.
10

- B.
16

- C.
22

- D.
48

Answer: Option C

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**Explanation** :

Since 40% of the students were females, i.e., 32 students. Total number of students was 80 and total number of male students was 48. Since half of the students were either excellent or good, (number of average students) = (number of good students + number of excellent students) = 40, number of excellent students = 40 – 30 = 10. As 1/3rd of male students were average, total number of male students that were average = $\left(\frac{1}{3}\times 48\right)$ = 16 and hence, total number of male students that were good = (48 – 16 – 10) = 22.

Based on the above revelations, the following table can be drawn:

Number of students who were both male and good = 22.

Workspace:

**Use the following information:**

A professor keeps data on students tabulated by performance and sex of the student . The data is kept on

a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be

recovered :

Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:

- Half the students were either excellent or good.
- 40% of the students were females.
- One third of the male students were average.

**27. CAT 1993 LRDI | DI - Tables & Graphs**

Among average students, what was the ratio of male to female?

- A.
1 : 2

- B.
2 : 1

- C.
3 : 2

- D.
2 : 3

Answer: Option D

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**Explanation** :

Since 40% of the students were females, i.e., 32 students. Total number of students was 80 and total number of male students was 48. Since half of the students were either excellent or good, (number of average students) = (number of good students + number of excellent students) = 40, number of excellent students = 40 – 30 = 10. As 1/3rd of male students were average, total number of male students that were average = $\left(\frac{1}{3}\times 48\right)$ = 16 and hence, total number of male students that were good = (48 – 16 – 10) = 22.

Based on the above revelations, the following table can be drawn:

Ratio of male to female among average students = 16 : 24 = 2 : 3.

Workspace:

**Use the following information:**

a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be

recovered :

- Half the students were either excellent or good.
- 40% of the students were females.
- One third of the male students were average.

**28. CAT 1993 LRDI | DI - Tables & Graphs**

What proportion of female students were good?

- A.
0

- B.
0.25

- C.
0.5

- D.
1.0

Answer: Option B

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**Explanation** :

Based on the above revelations, the following table can be drawn:

Proportion of female students who were good = $\left(\frac{8}{32}\right)$ = 0.25.

Workspace:

**Use the following information:**

a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be

recovered :

- Half the students were either excellent or good.
- 40% of the students were females.
- One third of the male students were average.

**29. CAT 1993 LRDI | DI - Tables & Graphs**

What proportion of good students were male?

- A.
0

- B.
0.73

- C.
0.4

- D.
1.0

Answer: Option B

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**Explanation** :

Proportion of good students who are male = $\left(\frac{22}{30}\right)$ = 0.73.

Workspace:

**Given below are the forecasts of the World and Asian energy demand for the years 1990, 2000 and 2010 AD. The demand is given in million barrels per day, crude oil equivalent.**

**30. CAT 1993 LRDI | DI - Tables & Graphs**

Over 1990 – 2010, which two fuels meet more than 60 percent of the total energy demand of both World and Asia?

- A.
Petroleum & Natural Gas

- B.
Petroleum & Solid Fuels

- C.
Natural Gas & Solid Fuels

- D.
None of the above

Answer: Option B

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**Explanation** :

Thus, we can see that Solid Fuels and Petroleum together constitute more than 60% of total energy in both World and Asia for the given period.

Workspace:

**Given below are the forecasts of the World and Asian energy demand for the years 1990, 2000 and 2010 AD. The demand is given in million barrels per day, crude oil equivalent.**

**31. CAT 1993 LRDI | DI - Tables & Graphs**

Which fuel’s proportion in the total energy demand increases over the decade 1990–2000 and decreases over the decade 2000 – 2010 for both the World and Asia?

- A.
Petroleum

- B.
Natural Gas

- C.
Solid Fuels

- D.
Nuclear

Answer: Option A

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**Explanation** :

As seen from the above table, Petroleum is the fuel whose proportion in the total energy demand increases during 1990- 2000 and decreases during 2000-2010 for both World and Asia.

Workspace:

**Given below are the forecasts of the World and Asian energy demand for the years 1990, 2000 and 2010 AD. The demand is given in million barrels per day, crude oil equivalent.**

**32. CAT 1993 LRDI | DI - Tables & Graphs**

Which is the fuel whose proportion in the total energy demand will decrease continuously over the period 1990 – 2010, in Asia?

- A.
Natural Gas

- B.
Solid Fuels

- C.
Nuclear

- D.
Hydropower

Answer: Option D

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**Explanation** :

In case of Asia, for the given answer choices, we can make the following table:

Hence, we can see that the proportion of Hydropower goes on decreasing over the period.

Workspace:

**33. CAT 1993 LRDI | DI - Tables & Graphs**

Which is the fuel whose proportion to the total energy demand of the world will remain constant over the period 1990 – 2010 but whose proportion will increase in the total energy demand in Asia?

- A.
Solid Fuels

- B.
Nuclear

- C.
Hydropower

- D.
Natural Gas

Answer: Option D

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**Explanation** :

In case of World, for the answer choices, we can make the following table:

Hence, we can see that the proportion of Nuclear gas in total energy demand of the World remains constant over the given period and its proportion will increase in the total energy demand in Asia.

**(Use information of the previous question)**

Workspace:

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