CAT 1995 LRDI | Previous Year CAT Paper

Previous year paper questions for CAT 1995 LRDI

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

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

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

4. 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 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

5. 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. 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

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

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

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

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

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

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%

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

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

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

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

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

Explanation :

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

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

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

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

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.

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

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

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

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

Explanation :

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

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

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).

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

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

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

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).

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

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

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 × $(1 + \frac{2.36}{100})$ = Rs. 177 lakh.

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

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).

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

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.

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

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.

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

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

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.

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

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 $= (\frac{180}{3} \times 48)$ = 2,880 units, as per option (b), we would get production $= (\frac{180}{12} \times 64)$ = 960 units, as per option (c), production = $(\frac{180}{10} \times 53)$ = 954 units and as per option (d), production = $(\frac{180}{9} \times 71)$ = 1,420 units. Since option (c) gives the least production, it is the least efficient way.

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

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

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

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

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

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 = $(\frac{12000}{6000})$ = 2 : 1.

CAT 1995 LRDI | Previous Year CAT Paper

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