# CAT 1995 LRDI | Previous Year CAT Paper

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**1. CAT 1995 LRDI | LR - Syllogisms**

**Six statements are given followed by four sets of combinations of three. You have to choose that set in which the statements are logically related.**

1. Some bubbies are not dubbles

2. Some dubbles are not bubbles

3. Noone who is rubbles is dubbles

4. All dubbles are rubbles

5. Some dubbles are bubbles

6. Some who are rubbles are not bubbles

- A.
136

- B.
456

- C.
123

- D.
246

Answer: Option D

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**Explanation** :

Some dubbles are not bubbles but all dubbles are rubbles,

so it follows that some of the rubbles are not bubbles.

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**2. CAT 1995 LRDI | LR - Syllogisms**

**Six statements are given followed by four sets of combinations of three. You have to choose that set in which the statements are logically related.**

1. Some men are bad

2. All men are sad

3. All bad things are men

4. All bad things are sad

5. Some sad things are men

6. Some sad things are bad

- A.
165

- B.
236

- C.
241

- D.
235

Answer: Option B

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**Explanation** :

If all men are sad and all bad things are men, it follows that some sad things are bad.

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**3. CAT 1995 LRDI | LR - Syllogisms**

**Six statements are given followed by four sets of combinations of three. You have to choose that set in which the statements are logically related.**

1. All Toms are bright

2. No bright Toms are Dicks

3. Some Toms are Dicks

4. Some Dicks are bright

5. No Tom is a Dick

6. No Dick is a Tom

- A.
123

- B.
256

- C.
126

- D.
341

Answer: Option C

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**Explanation** :

All Toms are bright, but no bright Tom is a Dick. Therefore, no Dick is a Tom.

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**4. CAT 1995 LRDI | LR - Syllogisms**

1. All witches are nasty

2. Some devils are nasty

3. All witches are devils

4. All devils are nasty

5. Some nasty are devils

6. No witch is nasty

- A.
234

- B.
341

- C.
453

- D.
653

Answer: Option B

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**Explanation** :

If all witches are devils and all devils are nasty, it implies that all witches are also nasty.

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**5. CAT 1995 LRDI | LR - Syllogisms**

1. No tingo is a bingo

2. All jingoes are bingoes

3. No jingo is a tingo

4. Some jingoes are not tingoes

5. Some tingoes are jingoes

6. Some bingoes are not tingoes

- A.
123

- B.
132

- C.
461

- D.
241

Answer: Option A

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**Explanation** :

No tingo is a bingo but all jingoes are bingoes. Hence, no jingo is a tingo.

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**Direction: Answer the questions based on the following information.**

Ghosh Babu surveyed his companies and obtained the following data. Income tax is paid from profit before tax and the remaining amount is apportioned to dividend and retained earnings. The retained earnings were accumulated into reserves. The reserves at the beginning of 1991 were Rs.80 lakh.

**6. CAT 1995 LRDI | DI - Tables & Graphs**

In which year was the tax per rupee of ‘profit before tax’ lowest?

- A.
1991

- B.
1992

- C.
1993

- D.
1994

Answer: Option D

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**Explanation** :

We know, Dividends + Retained earnings = Profit before tax – Tax.

Tax = Profit before tax – (Dividends + Retained earnings).

Hence, tax per rupee of ‘Profit before Tax’ was the lowest in 1994.

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**7. CAT 1995 LRDI | DI - Tables & Graphs**

In which year was the sales per rupee of share capital highest?

- A.
1991

- B.
1992

- C.
1993

- D.
1994

Answer: Option A

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**Explanation** :

Hence, sales per rupee of share capital was the highest in 1991.

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**8. CAT 1995 LRDI | DI - Tables & Graphs**

In which year was the profit before tax per rupee of sales highest?

- A.
1991

- B.
1992

- C.
1993

- D.
1994

Answer: Option D

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**Explanation** :

Hence, profit before tax per rupee of sales was the highest in 1994.

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**9. CAT 1995 LRDI | DI - Tables & Graphs**

In which year was the percentage addition to reserves over previous years reserves the highest?

- A.
1991

- B.
1992

- C.
1993

- D.
1994

Answer: Option A

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**Explanation** :

Hence, the highest percentage addition to reserves was in 1991.

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**10. CAT 1995 LRDI | DI - Tables & Graphs**

Amount of the reserves at the end of 1994 is

- A.
Rs.935 lakh

- B.
Rs.915 lakh

- C.
Rs.230 lakh

- D.
None of these

Answer: Option A

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**Explanation** :

From the table, it is clear that the amount of reserves at the end of 1994 = (535 + 400) = Rs.935 lakh.

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**Direction: **Answer the questions based on the following table.

**11. CAT 1995 LRDI | DI - Tables & Graphs**

The maximum percentage decrease in market share is

- A.
60%

- B.
50%

- C.
53.3%

- D.
20%

Answer: Option B

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**Explanation** :

It can be seen that the market share of CO in Kolkata has halved in 1994. None of the other products show such a drastic decrease in any city. Hence, percentage decrease in market share = 50%.

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**12. CAT 1995 LRDI | DI - Tables & Graphs**

The city in which minimum number of products increased their market shares in 1993-94 is

- A.
Mumbai

- B.
Delhi

- C.
Kolkata

- D.
Chennai

Answer: Option B

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**Explanation** :

Mumbai and Kolkata have two products whose market shares were increased. Chennai has 1 while Delhi has none.

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**13. CAT 1995 LRDI | DI - Tables & Graphs**

The market shares of which products did not decrease between 1993-94 in any city?

- A.
HD

- B.
CO

- C.
BN

- D.
None of these

Answer: Option D

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**Explanation** :

We can see that among the given options, the market share of HD decreased in Mumbai, Kolkata and Delhi.

The market share of CO decreased in Kolkata, Delhi and Chennai and the market share of BN decreased in Mumbai.

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**14. CAT 1995 LRDI | DI - Tables & Graphs**

The number of products which had 100% market share in four metropolitan cities is

- A.
0

- B.
1

- C.
2

- D.
3

Answer: Option A

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**Explanation** :

None of the products had 100% market share.

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**15. CAT 1995 LRDI | DI - Tables & Graphs**

The number of products which doubled their market shares in one or more cities is

- A.
0

- B.
1

- C.
2

- D.
3

Answer: Option B

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**Explanation** :

Only MT doubled its market share in Kolkata in 1993-94.

Workspace:

**Direction: **Answer the questions based on the following piecharts.

**16. CAT 1995 LRDI | DI - Tables & Graphs**

The operating profit in 1991-92 increased over that in 1990-91 by

- A.
23%

- B.
22%

- C.
25%

- D.
24%

Answer: Option A

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**Explanation** :

Percentage increase = (160 – 130) $\frac{100}{130}=\frac{300}{13}=$ 23%.

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**17. CAT 1995 LRDI | DI - Tables & Graphs**

The interest burden in 1991-92 was higher than that in 1990-91 by

- A.
50%

- B.
Rs. 25 Lakh

- C.
90%

- D.
Rs. 41 Lakh

Answer: Option B

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**Explanation** :

Interest in 1990-91 = 30% of 130 = Rs.39 lakh

Interest in 1991-92 = 40% of 160 = Rs.64 lakh

Hence, required difference = (64 – 39) = Rs.25 lakh

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**18. CAT 1995 LRDI | DI - Tables & Graphs**

If on an average, 20% rate of interest was charged on borrowed funds, then the total borrowed funds used by this company in the given two years amounted to

- A.
Rs. 221 Lakh

- B.
Rs. 195 Lakh

- C.
Rs. 368 Lakh

- D.
Rs. 515 Lakh

Answer: Option D

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**Explanation** :

Total interest = (30% of 130) + (40% of 160) = (39 + 64) = Rs.103 lakh.

If this total interest is charged on borrowed funds, then

(20% of borrowed funds) = 103. Hence, borrowed funds = (5 × 103) = Rs.515 lakh.

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**19. CAT 1995 LRDI | DI - Tables & Graphs**

The retained profit in 1991-92, as compared to that in 1990-91 was

- A.
higher by 2.5%

- B.
higher by 1.5%

- C.
lower by 2.5%

- D.
lower by 1.5%

Answer: Option D

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**Explanation** :

Retained profit in 1990-91 = (25% of 130) = Rs.32.5 lakh

Retained profit in 1991-92 = (20% of 160) = Rs.32 lakh

Hence, percentage change in retained profit

$=\frac{(32.5-32)}{32.5}$ = 1.5% lower.

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**20. CAT 1995 LRDI | DI - Tables & Graphs**

The equity base of these companies remained unchanged. Then the total dividend earning by the share holders in 1991-92 is

- A.
Rs.104 lakh

- B.
Rs.9 lakh

- C.
Rs.12.8 lakh

- D.
Rs.15.6 lakh

Answer: Option C

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**Explanation** :

Total dividend earned by shareholders in 1991-92 = (8% of 160) = Rs.12.8 lakh.

Workspace:

**Direction: **Answer the questions based on the following graph.

**21. CAT 1995 LRDI | DI - Tables & Graphs**

In which year was the trade deficit highest?

- A.
1987-88

- B.
1988-89

- C.
1989-90

- D.
1990-91

Answer: Option B

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**Explanation** :

The graph given in the question can be expressed as a table given below.

Trade deficit = Imports – Exports, was the highest for the year 1988-89, viz. 7 billion dollars.

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**22. CAT 1995 LRDI | DI - Tables & Graphs**

In how many years was the trade deficit less than the trade deficit in the succeeding year?

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option D

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**Explanation** :

Trade deficit is less than that in the succeeding year in 1987-88, 1989-90, 1991-92 and 1993-94.

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**23. CAT 1995 LRDI | DI - Tables & Graphs**

Export earning in 1990-91 is how many per cent of imports in 1991-92?

- A.
82%

- B.
85%

- C.
90%

- D.
15%

Answer: Option C

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**Explanation** :

Required percentage = $\frac{18}{20}$ × 100 = 90%

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**24. CAT 1995 LRDI | DI - Tables & Graphs**

In the last three years, the total export earnings have accounted for how many per cent of the value of the imports?

- A.
80%

- B.
83%

- C.
95%

- D.
88%

Answer: Option D

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**Explanation** :

In the last three years, Imports = (22 + 23 + 27) = 72 and

Exports = (18 + 21 + 24) = 63. Hence, the required percentage = $\frac{63}{72}$ × 100 = 87.5% = 88% (approximately).

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**25. CAT 1995 LRDI | DI - Tables & Graphs**

Which of the following statements can be inferred from the graph?

I. In all the years shown in the graph, the trade deficit is less than the export earning.

II. Export earnings increased in every year between 1989-90 and 1991-92.

III. In all the years shown in the graph, the earning by exports is less than the expenditure on imports in the preceding year.

- A.
I only

- B.
II only

- C.
III only

- D.
I and III only

Answer: Option A

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**Explanation** :

The first statement is obviously true as the trade deficit in each year is less than the export earning. The export earning has remained constant for three years between 1990 and 1993. Hence, statement II is not true. Even statement III is not true as the exports in 1994-95 is more than the imports in 1993-94.

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**Direction: **Answer the questions based on the following graph.

Revenue obtained by a publishing house while selling books, magazines and journals (Rs.in lakh).

**26. CAT 1995 LRDI | DI - Tables & Graphs**

Which year shows the highest change in revenue obtained from journals?

- A.
1989

- B.
1990

- C.
1991

- D.
1992

Answer: Option C

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**Explanation** :

The graph given in the question can be depicted in the following table:

The highest change in the revenue obtained from journals is (47 – 45) = 2 in 1991.

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**27. CAT 1995 LRDI | DI - Tables & Graphs**

In 1992, what per cent of the total revenue came from books?

- A.
45%

- B.
55%

- C.
35%

- D.
25%

Answer: Option A

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**Explanation** :

The graph given in the question can be depicted in the following table:

In 1992, percentage of total revenue that came from books = $\frac{79}{173}$ × 100 = 45.6% = 45% (approximately).

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**28. CAT 1995 LRDI | DI - Tables & Graphs**

The number of years in which there was an increase in revenue from at least two categories is

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option B

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**Explanation** :

The graph given in the question can be depicted in the following table:

In 1990, there was an increase in revenue for all the 3 categories. In 1991, it increased for magazines and books.

And in 1992, it increased only for magazines. So the answer is b, viz. 2 years.

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**29. CAT 1995 LRDI | DI - Tables & Graphs**

If 1993 were to show the same growth as 1992 over 1991, the revenue in 1993 must be

- A.
Rs.194 lakh

- B.
Rs.187 lakh

- C.
Rs.172 lakh

- D.
Rs.177 lakh

Answer: Option D

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**Explanation** :

The graph given in the question can be depicted in the following table:

Growth rate in 1992 over 1991 = $\frac{(173-169)}{169}=$ 2.36%.

If this rate remained same in 1993 as well, then the revenue in 1993 would be 173 × $\left(1+\frac{2.36}{100}\right)$ = Rs. 177 lakh.

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**30. CAT 1995 LRDI | DI - Tables & Graphs**

The growth in total revenue from 1989 to 1992 is

- A.
21%

- B.
28%

- C.
15%

- D.
11%

Answer: Option C

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**Explanation** :

The graph given in the question can be depicted in the following table:

Percentage growth in the total revenue from 1989 to 1992 = $\frac{(173-150)}{150}$ = 15.33% = 15% (approximately).

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**Direction: **Answer the questions based on the following table.

Machine M1 as well as machine M2 can independently produce either product P or product Q. The time taken by machines M1 and M2 (in minutes) to produce one unit of product P and product Q are given in the table below: (Each machine works 8 hour per day).

**31. CAT 1995 LRDI | DI - Tables & Graphs**

What is the maximum number of units that can be manufactured in one day?

- A.
140

- B.
160

- C.
120

- D.
180

Answer: Option B

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**Explanation** :

Since time taken to manufacture Q by both the machines is the least, we have to manufacture only Q in order to maximize the output for the day. In such a case, total number of units of Q produced by M1 = $\frac{(8\times 60)}{6}$ = 80 units and that by M2 = $\frac{(8\times 60)}{6}$ = 60 units. So the maximum number of units that can be produced in one day = (80 + 80) = 160 units.

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**32. CAT 1995 LRDI | DI - Tables & Graphs**

If M1 works at half its normal efficiency, what is the maximum number of units produced, if at least one unit of each must be produced?

- A.
96

- B.
89

- C.
100

- D.
119

Answer: Option D

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**Explanation** :

If M1 works at half of its normal efficiency, time taken by M1 to manufacture 1 unit of P = 20 min and Q = 12 min. For producing maximum number of units, we have to produce Q on M2 first as it takes only 6 min per piece.

Also since at least one unit of P has to be manufactured and it is more efficient to do so on M2, we would do that. So time taken to manufacture 1 unit of P on M2 = 8 min.

Hence, time remaining on M2 = (480 – 8) = 472. In this remaining time number of units of Q that can be manufactured on M2 = $\frac{472}{6}$ = 78 (only completed units taken). Now since it takes less time to manufacture Q on M1 as well, we will maximize Q on M1. Since 1 unit of number of units that can be produced = $\frac{(8\times 60)}{12}$ = 40.

Hence, the total number of units manufactured = (1 + 78 + 40) = 119 units.

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**33. CAT 1995 LRDI | DI - Tables & Graphs**

What is the least number of machine hours required to produce 30 pieces of P and 25 pieces of Q respectively?

- A.
6 hr 30 min

- B.
7 hr 24 min

- C.
6 hr 48 min

- D.
4 hr 6 min

Answer: Option A

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**Explanation** :

In order to minimize time required, we will manufacture P on M2 and Q on M1. Number of machine hours required to manufacture 30 units of P on M2 = (30 × 8) = 240 min = 4 hr. Number of machine hours required to manufacture 25 units of Q on M1 = (25 × 6) = 150 min = 2.5 hr. So total time taken = (4 + 2.5) = 6.5 hr or 6 hr 30 min.

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**34. CAT 1995 LRDI | DI - Tables & Graphs**

If the number of units of P is to be three times that of Q, what is the maximum idle time to maximize total units manufactured?

- A.
0 min

- B.
24 min

- C.
1 hr

- D.
2 hr

Answer: Option A

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**Explanation** :

Since P has to be produced in more number than Q and since time taken to produce P is least on M2, to maximize the output utilize the entire time available on M2 for producing P. Number of units of P produced in this time $=\frac{(8\times 60)}{8}$ = 60 units. Now since the number of units of Q should be one-third that of P, we should manufacture 20 units of Q. To manufacture this on M1, it would take (20 × 6) = 120 min. So there are still (480 – 120) = 360 min of M1 to be utilized. Now for every 3 units of P that is manufactured, we have to manufacture 1 unit of Q. To run one such cycle on M1, it would take (3 × 10 + 1 × 6) = 36 min. Hence in 360 min, we have 10 such cycles and utilize all the idle time of M1. Hence, to maximize the output under the given condition it is possible to have no idle time on any of the machines.

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**35. CAT 1995 LRDI | DI - Tables & Graphs**

If equal quantities of both are to be produced, then out of the four choices given below, the least efficient way would be

- A.
48 of each with 3 min idle

- B.
64 of each with 12 min idle

- C.
53 of each with 10 min idle

- D.
71 of each with 9 min idle

Answer: Option C

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**Explanation** :

The least efficient way is the option that gives least production with highest idle time. So we can compare

the options in the following two ways. Assume that production is constant (viz. LCM of 48, 64, 53 and 71) in all 4 options and compare the corresponding idle time. Or we can assume the idle time to be constant (viz. LCM of 3, 12, 10 and 9) in all 4 options and compare the corresponding production. The latter method is more preferable as finding LCM of idle time is easier. So LCM of 3, 12, 10, 9 = 180. If we assume that the idle time has to be 180 min, then as per option (a) we would get production $=\left(\frac{180}{3}\times 48\right)$ = 2,880 units, as per option (b), we would get production $=\left(\frac{180}{12}\times 64\right)$ = 960 units, as per option (c), production = $\left(\frac{180}{10}\times 53\right)$ = 954 units and as per option (d), production = $\left(\frac{180}{9}\times 71\right)$ = 1,420 units. Since option (c) gives the least production, it is the least efficient way.

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**Direction: **Answer the questions based on the following information.

A company produces five types of shirts — A, B, C, D and E — using cloth of three qualities — high, medium and low -, using dyes of three qualities — high, medium and low. One shirt requires 1.5 m of cloth. The following table gives respectively:

1. The number of shirts (of each category) produced, in thousands

2. The percentage distribution of cloth quality in each type of shirt, and

3. The percentage distribution of dye quality in each type of shirt.

**36. CAT 1995 LRDI | DI - Tables & Graphs**

What is the total requirement of cloth?

- A.
1,50,000 m

- B.
2,00,000 m

- C.
2,25,000 m

- D.
2,50,000 m

Answer: Option A

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**Explanation** :

Total requirement of cloth

= Total number of shirts × Cloth required per shirt

= (20 + 30 + 30 + 10 + 10) × 1000 × 1.5 = 1,50,000 m.

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**37. CAT 1995 LRDI | DI - Tables & Graphs**

How many metres of low-quality cloth is consumed?

- A.
22,500 m

- B.
46,500 m

- C.
60,000 m

- D.
40,000 m

Answer: Option B

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**Explanation** :

Total low quality cloth consumed

= 1.5 (30% of 30000 + 30% of 30000 + 40% of 10000 + 90% of 10000) = 46,500 m.

Workspace:

**38. CAT 1995 LRDI | DI - Tables & Graphs**

How many metres of high quality cloth is consumed by A-type shirts?

- A.
8,000 m

- B.
112,000 m

- C.
24,000 m

- D.
30,000 m

Answer: Option C

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**Explanation** :

Total quantity of high quality cloth consumed by A-type shirts = (80% of 20000) × 1.5 = 24,000 m.

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**39. CAT 1995 LRDI | DI - Tables & Graphs**

What is the ratio of the three qualities of dyes in high-quality cloth?

- A.
2 : 3 : 5

- B.
1 : 2 : 5

- C.
7 : 9 : 10

- D.
Cannot be determined

Answer: Option D

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**Explanation** :

We only know the relationship between the type of shirt and cloth used and type of shirt and dye used. We cannot find any relationship between type of cloth and dye used.

Workspace:

**40. CAT 1995 LRDI | DI - Tables & Graphs**

What is the ratio of low-quality dye used for C-type shirts to that used for D- type shirts?

- A.
3 : 2

- B.
2 : 1

- C.
1 : 2

- D.
2 : 3

Answer: Option B

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**Explanation** :

Amount of low quality die used for C-type shirts = (40% of 30000) = 12,000 units.

Amount of low quality die used for D-type shirts = (60% of 10000) = 6,000 units.

Hence, required ratio = $\left(\frac{12000}{6000}\right)$ = 2 : 1.

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