# CAT 1991 LRDI | Previous Year CAT Paper

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**1. CAT 1991 LRDI | LR - Syllogisms**

**Each of these questions contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.**

- No attendants are qualified.
- Some nurses are qualified.
- Some nurses are not qualified.
- All nurses are attendants.
- All attendants are qualified.
- Some attendants are qualified.

- A.
ABF

- B.
CDF

- C.
BDF

- D.
BDE

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**2. CAT 1991 LRDI | LR - Syllogisms**

This question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.

- Mary is John’s wife.
- Mary and John danced together.
- Mary wears John’s ring.
- Husband and wives danced the last waltz.
- John loves Mary.
- John danced last with Mary

- A.
ADF

- B.
ABD

- C.
ACE

- D.
AEF

Answer: Option A

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**Explanation** :

If Mary and John are wife and husband and the last waltz was danced by husbands and wives, it follows

that John danced last with Mary

Hence, option (a).

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**3. CAT 1991 LRDI | LR - Syllogisms**

**This question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.**

- All roses are fragrant.
- All roses are majestic.
- All roses are plants.
- All plants need air.
- All roses need air.
- All plants need water.

- A.
ABC

- B.
BCD

- C.
CDE

- D.
CEF

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**4. CAT 1991 LRDI | LR - Syllogisms**

**This question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related**

- Laxman is a man.
- Meera is Laxman’s wife.
- Some women are islands.
- No man is an island.
- Meera is not an island.
- Laxman is not a island.

- A.
ADE

- B.
ABE

- C.
ADF

- D.
CDE

Answer: Option C

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**Explanation** :

Laxman is a man and no man is an island, so Laxman cannot be an island.

Hence, option (c).

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**5. CAT 1991 LRDI | LR - Syllogisms**

**This question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related**

- College students are intelligent.
- Intelligence is a collegian’s attribute.
- Ram’s sister is a college student.
- Ram is a college student.
- All intelligent persons go to college.
- Ram is an intelligent person.

- A.
ADF

- B.
BCD

- C.
ABF

- D.
ABD

Answer: Option A

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**Explanation** :

If college students are intelligent and Ram is a college student, it follows that Ram is intelligent.

Hence, option (a).

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**6. CAT 1991 LRDI | LR - Syllogisms**

**This question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related**

- Smoking causes cancer.
- All cigarettes are hazardous to health.
- Smoking doesn’t cause cancer sometimes.
- One brand of cigarettes is cham – cham.
- Brand X causes cancer.
- Cham – cham is bad for health

- A.
ABE

- B.
BDF

- C.
ABD

- D.
ABC

Answer: Option B

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**Explanation** :

If all cigarettes are hazardous to health and cham-cham is a brand of cigarette, then cham-cham would

also be hazardous to health.

Hence, option (b).

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**7. CAT 1991 LRDI | LR - Syllogisms**

- All good bridge players play good chess.
- Many good chess players are not bridge players.
- Goren is a good bridge player.
- Goren plays chess well.
- Spassky plays chess well.
- Spassky plays bridge badly.

- A.
ABD

- B.
BEF

- C.
ACE

- D.
ACD

Answer: Option D

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**Explanation** :

If all good bridge players play good chess, then Goran being a good bridge player should also play good

chess.

Hence, option (d).

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**8. CAT 1991 LRDI | LR - Syllogisms**

- All snakes are reptiles.
- All reptiles are not snakes.
- All reptiles are cold blooded.
- All snakes lay eggs.
- All reptiles lay eggs.
- Snakes are cold blooded.

- A.
ADE

- B.
BDE

- C.
ABE

- D.
ACF

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**9. CAT 1991 LRDI | LR - Syllogisms**

- All leaves are green.
- All leaves have chlorophyll.
- Chlorophyll is green.
- All plants have leaves.
- All plants have chlorophyll.
- Only leaves have chlorophyll.

- A.
BDE

- B.
BEF

- C.
BDF

- D.
AEF

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**10. CAT 1991 LRDI | LR - Syllogisms**

- Some men are bald.
- Bald people are intelligent.
- Raman is a man.
- Raman is bald.
- Raman is intelligent.
- All men are intelligent.

- A.
ABF

- B.
BDE

- C.
BCD

- D.
BEF

Answer: Option B

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**Explanation** :

If bald people are intelligent and Raman is bald, it follows that Raman is intelligent.

Hence, option (b).

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**11. CAT 1991 LRDI | LR - Syllogisms**

- No barbarian is gentleman.
- Some gentlemen are barbarians.
- Some gentlemen are rude.
- No gentlemen are rude.
- Some barbarians are not rude.
- All barbarians are rude.

- A.
ABE

- B.
BCE

- C.
ADF

- D.
BDE

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**12. CAT 1991 LRDI | LR - Syllogisms**

- Metal is good material for desks.
- Desks are made of metal.
- This object is not a desk.
- This object is a desk.
- This object is not made of metal.
- This is made of metal.

- A.
ADF

- B.
BCE

- C.
ABD

- D.
BDF

Answer: Option D

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**Explanation** :

Desks are made of metals. So if an object is a desk it should be made of metal.

Hence, option (d).

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**13. CAT 1991 LRDI | LR - Syllogisms**

- Mathew and Paul are brothers.
- Siblings are known to quarrel often.
- Mathew and Paul don’t quarrel.
- All those who quarrel are siblings.
- Paul and Mathew quarrel often.
- Mathew and Paul cannot be siblings.

- A.
BDE

- B.
ADF

- C.
CDE

- D.
ABE

Answer: Option D

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**Explanation** :

Mathew and Paul are siblings and siblings are known to quarrel often. Therefore it follows that Mathew and Paul quarrel often.

Hence, option (d).

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**14. CAT 1991 LRDI | LR - Syllogisms**

- Painting and music is art.
- Art is symptom of culture.
- Culture and art are complementary.
- Music is a form of art.
- Painting is a form of art.
- Music shows culture.

- A.
BDF

- B.
AEF

- C.
ACE

- D.
CEF

Answer: Option A

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**Explanation** :

Art is a symptom of culture and music is a form of art, therefore music also shows culture.

Hence, option (a).

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**15. CAT 1991 LRDI | LR - Syllogisms**

- Different hues are obtained from primary colours.
- A rainbow consists of several hues.
- Blue and red can give different hues.
- Red is a primary color.
- Blue can give different hues.
- Red can give different hues.

Answer: 3

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**Explanation** :

If primary colours give different hues, and red is a primary colour, it implies that red also gives different hues.

Hence, option (c).

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**The following table gives the national income and the population of a country for the years 1984 – 85 to 1989 – 90. For each o the following questions choose the best alternative:**

****

**16. CAT 1991 LRDI | DI - Tables & Graphs**

The increase in the per capita income compared to the previous year is lowest for the year :

- A.
1985-86

- B.
1986-87

- C.
1987-88

- D.
1989-90

Answer: Option B

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**Explanation** :

Per capita income = $\frac{NationalIncome}{Population}$

****

As it can be clearly seen, the increase is lowest for the year 1986 – 87 = Rs. 304.12

Hence, option (b).

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**17. CAT 1991 LRDI | DI - Tables & Graphs**

The per capita income is highest for the year :

- A.
1984-85

- B.
1986-87

- C.
1987-88

- D.
1989-90

Answer: Option D

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**Explanation** :

By referring to the table in the solution to first question of the set,

Per Capita Income is highest for the year 1989 – 90 ≈ 5319.

Hence, option (d).

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**18. CAT 1991 LRDI | DI - Tables & Graphs**

The difference between the percentage increase in per capita income and the percentage increase in the population compared to the previous year is highest for the year:

- A.
1985-86

- B.
1986-87

- C.
1987-88

- D.
1988-89

Answer: Option D

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**Explanation** :

****

Hence it is highest for the year 1988-89 viz.13.65

Hence, option (d).

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**19. CAT 1991 LRDI | DI - Tables & Graphs**

The rate of increase in population was lowest in the year:

- A.
1985-86

- B.
1987-88

- C.
1989-90

- D.
None of these

Answer: Option A

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**Explanation** :

From the table given for Q158, it is apparent that the rate of increase of population is lowest for the year 1985-86 viz.1.35%.

Hence, option (a).

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**20. CAT 1991 LRDI | DI - Tables & Graphs**

Increase in the per capita income compared to the previous year among the years given below was highest for the year:

- A.
1985-86

- B.
1986-87

- C.
1987-88

- D.
1989-90

Answer: Option A

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**Explanation** :

Among the years given in the answer choices, the increase in per capita income compared to previous year is highest for the year 1985 - 86.

Hence, option (a).

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**The graph below shows the end of the month market values of 4 shares for the period from January to June. Answer the following questions based on this graph.**

**21. CAT 1991 LRDI | DI - Tables & Graphs**

Which share showed the greatest percentage increase in market value in any month during the entire period?

- A.
A

- B.
B

- C.
C

- D.
D

Answer: Option D

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**Explanation** :

The values of the graph can be tabulated as given below:

****

As it is seen the highest % increase is for D in Feb. viz.25%.

Hence, option (d)

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**22. CAT 1991 LRDI | DI - Tables & Graphs**

In which month was the greatest absolute change in market value for any share recorded?

- A.
March

- B.
April

- C.
May

- D.
June

Answer: Option A

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**Explanation** :

The greatest absolute change in the market value for any share recorded is 20 i.e. for share “A” for month of March = 115 – 95 = 20.

Hence, option (a).

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**23. CAT 1991 LRDI | DI - Tables & Graphs**

In which month was the greatest percentage increase in market value for any share recorded?

- A.
February

- B.
March

- C.
April

- D.
May

Answer: Option A

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**Explanation** :

The greatest percentage change in any share was recorded for share D for the month of February viz. 25%.

Hence, option (a).

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**24. CAT 1991 LRDI | DI - Tables & Graphs**

An individual wishes to sell 1 share of C and 1 share of D to buy 1 share of A at the end of a month. At which month-end would the individual’s loss from this decision, due to share value changes, be the most?

- A.
February

- B.
March

- C.
April

- D.
June

Answer: Option D

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**Explanation** :

****

Hence, the maximum loss due to share value changes is 10 for the month of Jun.

Hence, option (d).

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**25. CAT 1991 LRDI | DI - Tables & Graphs**

An individual decides to sell 1 share of C and 1 share of D to buy 1 share of A at the end of the month. What can be the individual’s greatest gain from this decision, due to share value changes?

- A.
5

- B.
10

- C.
15

- D.
None of these

Answer: Option B

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**Explanation** :

Again referring to the above table it can be seen that the individual’s highest gain is Rs.10.

Hence, option (b).

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**Study the following graph and answer questions that follow. The x – axis denotes the years from 1983 to 1991.**

**26. CAT 1991 LRDI | DI - Tables & Graphs**

The sum of food and fertilizer production has shown a constant value for how many years?

- A.
None of the years

- B.
2

- C.
4

- D.
5

Answer: Option D

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**Explanation** :

Students please note that the values on the Y-axis are not given. For the sake of convenience let us assume that one step on y-axis is ‘x’ and starting value be k.

****

If you see, for each year from 1984 to 1988 sum of food and fertilizers = 14.5x + 2k. Hence, it is constant for 5 years.

Hence, option (d).

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**27. CAT 1991 LRDI | DI - Tables & Graphs**

If in 1988, the sum of the food and fertilizer production was 170 million tonnes, the value of food production must have been (approximately, in million tonnes) …

- A.
90

- B.
70

- C.
100

- D.
Insufficient data

Answer: Option D

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**Explanation** :

Fertilizers production in 1988 = 6.5x + k

Food production in 1988 = 8x + k

As per the given information

14.5x + 2k = 170

Value of x and k cannot be determined.

Hence, option (d).

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**28. CAT 1991 LRDI | DI - Tables & Graphs**

From its apparent behaviour, the food production in year 1992 can be expected to …

- A.
go up

- B.
go down

- C.
remain the same as previous year

- D.
nothing can be said

Answer: Option B

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**Explanation** :

The graph of food production shows an alternate increase and decrease in every 1 to 2 years.

Hence looking at the trend of the graph in 1990 and 1991, it can be expected that the graph will go down in 1992.

Hence, option (b).

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**29. CAT 1991 LRDI | DI - Tables & Graphs**

Going according to previous trends, one can say that the Fertilizer Production has shown an anomalous behaviour in which year?

- A.
1985

- B.
1984

- C.
1991

- D.
1989

Answer: Option D

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**Explanation** :

It is clear that the graph for fertilizer production remains constant for two consecutive years.

But it breaks this trend in 1989 as it has a value lower than its value in 1988.

Hence, option (d).

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**30. CAT 1991 LRDI | DI - Tables & Graphs**

A scholar observed that if the production of fertilizers in 1989 had been the same as that in 1988, then the total fertilizer production for all the given years would have been 450 million tonnes. Using this information, and knowing that the food production has been plotted on the same scale, one may say that the food production in 1983 was approximately, in million tonnes) …

- A.
80

- B.
130

- C.
105

- D.
Cannot be determined

Answer: Option D

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**Explanation** :

If the fertilizer production in 1989 had been the same as that in 1988, its value for 1989 would have been 3.5x + k.

Hence total fertilizer production according to our values would have been (5.5x + k + 6.5x + k + 6.5x + k + 5x + k + 5x + k + 6.5x + k + 6.5x + k + 4x + k + 4x + k) = 49.5x + 9k.

As per the given information 49.5x + k = 490

Value of x and k cannot be determined.

Hence, option (d).

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**31. CAT 1991 LRDI | LR - Directions**

A man starting at a point walks one km east, then two km north, then one km east, then one km north, then one km east and then one km north to arrive at the destination. What is the shortest distance from the starting point to the destination?

- A.
2√2 km

- B.
7 km

- C.
3√2 km

- D.
5 km

Answer: Option D

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**Explanation** :

Following diagram shows the movement of the man.

∴ OQ = $\sqrt{{3}^{2}+{4}^{2}}$ = 5 km.

Hence, option (d).

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**32. CAT 1991 LRDI | LR - Operator Based Questions**

If 8 + 12 = 2, 7 + 14 = 3 then 10 + 18 = ?

- A.
10

- B.
4

- C.
6

- D.
18

Answer: Option A

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**Explanation** :

Here logic is : A + B = (A + B) – 18

Hence, 10 + 18 = {(10 + 18) – 18} = 10.

Hence, option (a).

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