# CAT 1997 LRDI | Previous Year CAT Paper

**1. CAT 1997 LRDI | LR - Syllogisms**

**Direction: Each of the following questions contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.**

A. No bird is viviparous.

B. All mammals are viviparous.

C. Bats are viviparous.

D. No bat is a bird.

E. No bird is a mammal.

F. All bats are mammals.

- A.
ADC

- B.
ABE

- C.
FBA

- D.
AFC

Answer: Option B

**Explanation** :

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**2. CAT 1997 LRDI | LR - Syllogisms**

**Direction: Each of the following questions contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.**

A. No mother is a nurse.

B. Some nurses like to work.

C. No woman is a prude.

D. Some prude are nurses.

E. Some nurses are women.

F. All women like to work.

- A.
ABE

- B.
CED

- C.
FEB

- D.
BEF

Answer: Option C

**Explanation** :

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**3. CAT 1997 LRDI | LR - Syllogisms**

**Direction: Each of the following questions contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.**

A. Oranges are sweet.

B. All oranges are apples.

C. Some sweet are apples.

D. Some oranges are apples.

E. All sweet are sour.

F. Some apples are sour.

- A.
DAC

- B.
CDA

- C.
BCA

- D.
FEC

Answer: Option A

**Explanation** :

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**4. CAT 1997 LRDI | LR - Syllogisms**

A. Zens are Marutis.

B. Zens are fragile.

C. Marutis are fragile.

D. Opels are fragile.

E. Marutis are Opels.

F. Opels are stable.

- A.
ACB

- B.
EFD

- C.
CEA

- D.
ABC

Answer: Option A

**Explanation** :

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**5. CAT 1997 LRDI | LR - Syllogisms**

A. Dogs sleep in the open.

B. Sheep sleep indoors.

C. Dogs are like sheep.

D. All indoors are sheep.

E. Some dogs are not sheep.

F. Some open are not sheep.

- A.
AFE

- B.
DCA

- C.
ABE

- D.
FBD

Answer: Option A

**Explanation** :

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**6. CAT 1997 LRDI | LR - Binary Logic**

**Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.**

Either Sam is ill, or he is drunk.

A. Sam is ill.

B. Sam is not ill.

C. Sam is drunk.

D. Sam is not drunk.

- A.
AB

- B.
DA

- C.
AC

- D.
CD

Answer: Option B

**Explanation** :

Sam is not drunk, so he must be ill. One of the either ... or condition is true.

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**7. CAT 1997 LRDI | LR - Logical Connectives**

**Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.**

Whenever Ram hears of a tragedy, he loses sleep.

A. Ram heard of a tragedy.

B. Ram did not hear of a tragedy.

C. Ram lost sleep.

D. Ram did not lose sleep.

- A.
CA

- B.
BD

- C.
DB

- D.
AD

Answer: Option C

**Explanation** :

As Ram did not lose sleep, it shows that he did not hear of the tragedy. When A, then B. Not B, hence not A.

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**8. CAT 1997 LRDI | LR - Logical Connectives**

**Direction: In each of the following sentences, the main statement is followed by four sentences each. Select a pair of sentences that relate logically to the given statement.**

Either the train is late, or it has derailed.

A. The train is late.

B. The train is not late.

C. The train is derailed.

D. The train is not derailed.

- A.
AB

- B.
DB

- C.
CA

- D.
BC

Answer: Option D

**Explanation** :

The train is not late, so it must have derailed. One of the either ... or condition is true.

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**9. CAT 1997 LRDI | LR - Logical Connectives**

When I read a horror story I have a nightmare.

A. I read a story.

B. I did not read a horror story.

C. I did not have a nightmare.

D. I had a nightmare.

- A.
CB

- B.
AD

- C.
BC

- D.
AC

Answer: Option A

**Explanation** :

I did not have a nightmare, so I must not have read a horror story. When A, then B. Not B, hence not A.

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**10. CAT 1997 LRDI | LR - Logical Connectives**

When I eat berries I get rashes.

A. I ate berries.

B. I did not get rashes.

C. I did not eat berries.

D. I got rashes.

- A.
DA

- B.
BC

- C.
CB

- D.
None of these

Answer: Option B

**Explanation** :

I did not get rashes which shows that I did not eat berries. When A, then B. Not B, hence not A.

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

****

******Note: **All projects start in 1997.

**11. CAT 1997 LRDI | DI - Tables & Graphs**

Which of the following had the least cost per room?

- A.
Lokhandwala Group

- B.
Raheja Group

- C.
IHCL

- D.
ITC

Answer: Option A

**Explanation** :

****

From the right hand side column, for Lokhandwala Group, cost per room is least.

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**12. CAT 1997 LRDI | DI - Tables & Graphs**

Which of the following has the maximum number of rooms per crore of rupees?

- A.
IHCL

- B.
Raheja Group

- C.
Lokhandwala Group

- D.
ITC

Answer: Option C

**Explanation** :

****

In previous question, we have found out for which group the cost per room is least. To answer the second question, we need to take the reciprocals of fractions in the first question. Naturally, the answer will be same, i.e. Lokhandwala Group

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**13. CAT 1997 LRDI | DI - Tables & Graphs**

**Additional direction:** Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum.

What is the cost incurred for projects completed in 1998?

- A.
Rs. 475 crore

- B.
Rs. 500 crore

- C.
Rs. 522.5 crore

- D.
Rs. 502.5 crore

Answer: Option C

**Explanation** :

Two projects are completed in 1998, one is Mumbai Heights and the second is Royal Holidays.

The cost of project is 250 + 225 = 475 crore. *Cost incurred = 475 + 47.5 = 522.5. (Students please note the last step. Rather than doing 1.1 × 475, it is convenient to do 475 + 10% of 475, which is = 475 + 47.5)

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**14. CAT 1997 LRDI | DI - Tables & Graphs**

**Additional direction:** Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum.

What is the cost incurred for projects completed in 1999?

- A.
Rs. 1,282.6 crore

- B.
Rs. 1,270 crore

- C.
Rs. 1,805.1 crore

- D.
Rs. 1,535 crore

Answer: Option A

**Explanation** :

Four projects are completed in 1999. They are: (i) Majestic Holiday, (ii) Supremo Hotel, (iii) Windsor Manor and (iv) Leela Hotels. It is very much similar to previous situation.

The cost of project is 250 + 300 + 275 + 235 = 1060

Hence, the cost incurred = 1060 × (1.1)^{2} = 1282.6 crore

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**15. CAT 1997 LRDI | DI - Tables & Graphs**

**Additional direction:** Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum.

What is the approximate cost incurred for projects completed by 2000?

- A.
Rs. 1,785

- B.
Rs. 2,140

- C.
Rs. 2,320

- D.
None of these

Answer: Option B

**Explanation** :

Students! read the question carefully. It says what is the cost of projects completed by 2000.

It will be addition of previous two answers + Cost incurred for the projects completed in 2000.

Approximate cost of projects completed by 2000 is 1282.6 + 522.5 + (250 × (1.1)^{3}) ≈ 2140.

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

The graph given below shows the quantity of milk and food grains consumed annually along with female and male population (in millions). Use the data to answer the questions that follow.

**16. CAT 1997 LRDI | DI - Tables & Graphs**

When was the per capita production of milk least?

- A.
1990

- B.
1992

- C.
1994

- D.
1996

Answer: Option A

**Explanation** :

****

From the table, it is clear that in 1990, the per capita production of milk was least.

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**17. CAT 1997 LRDI | DI - Tables & Graphs**

When was the per capita production of foodgrains most?

- A.
1992

- B.
1993

- C.
1994

- D.
1995

Answer: Option D

**Explanation** :

****

We can prepare a similar kind of table that we prepared above. This table prepared is for food grains.

****

Hence, per capita production of foodgrains was maximum in 1995.

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**18. CAT 1997 LRDI | DI - Tables & Graphs**

In which year was the difference between the percentage increase in the production of foodgrains and milk maximum?

- A.
1993

- B.
1994

- C.
1995

- D.
1996

Answer: Option C

**Explanation** :

Percentage increase in production of food

****

From the first table, it is clear that in 1995, the difference between percentage increase in production of foodgrains and percentage increase in production of milk was maximum.

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**19. CAT 1997 LRDI | DI - Tables & Graphs**

If milk contains 320 calories and foodgrains contain 160 calories, in which year was the per capita consumption of calories highest?

- A.
1993

- B.
1994

- C.
1995

- D.
1996

Answer: Option C

**Explanation** :

****

From the last column of the table, it is clear that the per capita consumption of calories was highest in 1995

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**20. CAT 1997 LRDI | DI - Tables & Graphs**

If one gallon milk contains 120 g of a particular nutrient and one tonne of foodgrains contains 80 g of the same nutrient, in which year was the availability of this nutrient maximum?

- A.
1993

- B.
1994

- C.
1995

- D.
1996

Answer: Option C

**Explanation** :

****

Clearly, from the table, availability of nutrient is maximum in 1995.

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**21. CAT 1997 LRDI | DI - Tables & Graphs**

Referring to the above question, in which year was the per capita consumption of this nutrient highest?

- A.
1993

- B.
1994

- C.
1995

- D.
1996

Answer: Option C

**Explanation** :

****

From the table, it is clear that the per capita consumption is maximum in 1995.

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

The graph given below gives the yearly details of money invested in producing a certain product over the years 1991 to 1995. It also gives the profit (in ‘000 rupees).

**22. CAT 1997 LRDI | DI - Tables & Graphs**

In which year was the increase in raw material maximum?

- A.
1992

- B.
1993

- C.
1994

- D.
1995

Answer: Option B

**Explanation** :

The values in the graph can be represented in the table given below.

Here O.H. is overheads and Int. is interest, P/C is profit/cost.

****

We can see that the increase in raw material has been maximum in 1993, viz. 15 points increase.

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**23. CAT 1997 LRDI | DI - Tables & Graphs**

In which period was the change in profit maximum?

- A.
1991-92

- B.
1992-93

- C.
1993-94

- D.
1994-95

Answer: Option C

**Explanation** :

The values in the graph can be represented in the table given below.

Here O.H. is overheads and Int. is interest, P/C is profit/cost.

****

The change in the profit is maximum in 1993-94. In this year, there is a 50 points drop in the profits.

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**24. CAT 1997 LRDI | DI - Tables & Graphs**

Which component of the cost production has remained more or less constant over the period?

- A.
Interest

- B.
Overheads

- C.
Wages

- D.
Raw material

Answer: Option A

**Explanation** :

The values in the graph can be represented in the table given below.

Here O.H. is overheads and Int. is interest, P/C is profit/cost.

****

It can be seen that the interest has remained more or less constant over the given period.

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**25. CAT 1997 LRDI | DI - Tables & Graphs**

In which year were the overheads, as a percentage of the raw material, maximum?

- A.
1995

- B.
1994

- C.
1992

- D.
1993

Answer: Option C

**Explanation** :

****

Thus, it can be seen from the above table that the overheads as a percentage of raw material is maximum for 1992.

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**26. CAT 1997 LRDI | DI - Tables & Graphs**

What percentage of the costs did the profits form over the period?

- A.
3%

- B.
5%

- C.
8%

- D.
11%

Answer: Option B

**Explanation** :

The total profits over the period

= (15 + 25 + 20 – 30 + 15) = 45

Total costs

= (330 + 290 + 90 + 260) = 970

Hence, profit/costs $=\frac{45}{970}$ = 4.6% = 5% (Approximately)

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**27. CAT 1997 LRDI | DI - Tables & Graphs**

If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?

- A.
1991

- B.
1992

- C.
1993

- D.
1995

Answer: Option B

**Explanation** :

If the interest component is not included in the cost, the data can be represented as follows.

****

Hence, we can see from the table that maximum profit per unit cost is in 1992.

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

The following table gives the tariff [in paise per kilo-watt-hour (kWh)] levied by the UPSEB in 1994-95, in four sectors and the regions within them. The table also gives the percentage change in the tariff as compared to 1991-92.

****

**28. CAT 1997 LRDI | DI - Tables & Graphs**

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95

- A.
increased by 6.5%

- B.
decreased by 3.5%

- C.
increased by 10.2%

- D.
decreased by 7.3%

Answer: Option A

**Explanation** :

If the amount of tariff consumed by sector 1 is the same, then we can directly compare the tariffs to the two regions and get the answer.

****

Hence, we can see that as compared to 1991-92, the net tariff in 1994-95 increased by $\frac{(2172-2040)}{2040}=6.5\%$

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**29. CAT 1997 LRDI | DI - Tables & Graphs**

What was the approximate average tariff in region 3 in 1991-92?

- A.
407

- B.
420

- C.
429

- D.
None of these

Answer: Option B

**Explanation** :

****

Hence, the average tariff for region 3 in 1991-92 is $\frac{1678.3}{4}$ = 419.5 = 420 (Approximately)

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**Additional direction: **The UPSEB supplies power under four categories: urban (25%), domestic (20%), industrial (40%) and rural (15%). In 1994-95, the total power produced by the UPSEB was, 7875 megawatts.

**30. CAT 1997 LRDI | DI - Tables & Graphs**

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

- A.
1,312 megawatts

- B.
1,422 megawatts

- C.
1,750 megawatts

- D.
None of these

Answer: Option A

**Explanation** :

In 1994-95, the power consumed by various sectors out of 7875 megawatts can be given as follows.

****

Since there was a 10% decrease in domestic consumption of power in 1994-95, the domestic consumption in 1991-92 = $\left(\frac{1575}{0.9}\right)$ = 1750 megawatts.

But this constitutes 20% of total power consumed in 1991-92 and the rural consumption constitutes 15% of total power in 1991-92. Hence, in 1991-92 the rural consumption = (1750 × $\frac{15}{20}$) = 1312 megawatts.

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**31. CAT 1997 LRDI | DI - Tables & Graphs**

In the given 2 years, what is the total tariff paid by the urban sector?

- A.
Rs. 22.4 lakh

- B.
Rs. 21.6 lakh

- C.
Rs. 27.2 lakh

- D.
Cannot be determined

Answer: Option D

**Explanation** :

We only know the tariff rates for the two years for various regions and sectors. But we do not know the category-wise break-up of tariffs, i.e. the rates for urban sector is not known. In the light of this, we cannot answer this question.

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**32. CAT 1997 LRDI | DI - Tables & Graphs**

Which of the following statements is true?

- A.
The average tariff in region 4 is 437.5 p/kWh

- B.
The average tariff in region 2 is greater than the average tariff in region 5

- C.
In 1991-92, the industrial sector contributed to about 42% of the total revenue from power

- D.
None of these

Answer: Option B

**Explanation** :

Let us evaluate each of the above statements.

The average tariff in region 4 $=\frac{(415+423+441+451)}{4}=432.5$ p/kwh

region 2 = $\frac{(472+468+478+470)}{4}=472$ p/kwh

region 5 = $\frac{(440+427+439+446)}{4}=438$p/kwh

Hence, the average tariff in region 2 is higher than in region 5. This statement is true. Note that we cannot evaluate the third statement at all.

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

The table given below gives the annual details of loans from rural banks and agricultural loans over the years 1970 to 1983. Using this data answer the questions that follow.

****

**33. CAT 1997 LRDI | DI - Tables & Graphs**

In 1974, the amount of agricultural loans formed what percentage of the total loans?

- A.
85%

- B.
71%

- C.
77%

- D.
Cannot be determined

Answer: Option A

**Explanation** :

In 1974, agricultural loans amounted to

= Rs. 34.54 million. Loans from rural banks in 1974

= (260 × 98 × 243) = Rs. 6.19 million.

Hence, total amount of loans

= (34.54 + 6.19) = Rs. 40.73 million.

Hence, percentage of agricultural loans $=\frac{34.54}{40.73}=$ 84.79% = 85% (Approximately)

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**34. CAT 1997 LRDI | DI - Tables & Graphs**

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

- A.
112%

- B.
80%

- C.
97%

- D.
Cannot be determined

Answer: Option B

**Explanation** :

****

So the total number of loans up to 1980

= (2520 + 4485 + 6760 + 25480 + 38478 + 174240) = 251963

And the total number of rural loans in 1983 = 319200

Hence, $\frac{251963}{319200}=$ 78.93% = 80% (Approximately)

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**35. CAT 1997 LRDI | DI - Tables & Graphs**

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

- A.
1971-72

- B.
1974-75

- C.
1970-71

- D.
1980-81

Answer: Option D

**Explanation** :

****

Thus, we find that the maximum increase in the number of loans for rural banks is in 1980-81.

**Note:** Students please note that we have not calculated the increase for 1970, 1980 and 1983 as their previous years’ figure is not known.

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**36. CAT 1997 LRDI | DI - Tables & Graphs**

What is the value of the agricultural loans in 1983 at 1970 prices?

- A.
Rs. 326

- B.
Rs. 264

- C.
Rs. 305

- D.
None of these

Answer: Option B

**Explanation** :

The value of agricultural loan in 1983 is Rs. 915.7 million. But this at consumer price index (CPI) = 149.

So if we want this value at 1970 CPI, viz. 43, it would simply be $\frac{43\times 915.7}{149}=264.26$

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**37. CAT 1997 LRDI | DI - Tables & Graphs**

In which year was the number of rural bank loans per rural bank least?

- A.
1974

- B.
1971

- C.
1970

- D.
1975

Answer: Option C

**Explanation** :

Students please note that what they are really asking is for which year the average number of loans is the least, and we can see in 1970.

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**38. CAT 1997 LRDI | DI - Tables & Graphs**

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

- A.
132%

- B.
81%

- C.
75%

- D.
1056%

Answer: Option C

**Explanation** :

From 1970 to 1983, in 13 years the number of agricultural loans went up from 18,300 to 2,11,600, an increase of 1,93,300. So percentage increase in this = $\frac{193300}{18300}$ = 1057. However, this growth is spread across 13 years. Hence, simple annual rate of increase = $\frac{1057}{13}$ = 81.3% = 81 (Approximately)

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**Additional direction: **If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, then answer 184 and 185.

**39. CAT 1997 LRDI | DI - Tables & Graphs**

By roughly how many points do the indices for 1983 and 1975 differ?

- A.
174

- B.
180

- C.
188

- D.
195

Answer: Option A

**Explanation** :

The CPI in 1970 is 43. But it has to be taken as 105. Presently in 1983 and 1975, the CPI is 149 and 78 respectively. Hence, they should actually be taken as $\left(149\times \frac{105}{43}\right)$ = 363.83 and $\left(78\times \frac{105}{43}\right)$ = 190.46 respectively. Hence, their difference = (363.83 – 190.46) = 173.37 = 174 (Approximately).

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**40. CAT 1997 LRDI | DI - Tables & Graphs**

What is the value of the loans in 1980 at 1983 prices?

- A.
Rs.570 million

- B.
Rs.680 million

- C.
Rs.525 million

- D.
Rs.440 million

Answer: Option B

**Explanation** :

Total value of loans = Rural bank loans + Agricultural loans.

Rural bank loan in 1980 = (605 × 288 × 567) = Rs. 98.79 million.

Total value of agricultural loan in 1980 = Rs.498.4 million.

Hence, total loans in 1980 = (98.79 + 498.4) = 597.19.

But this is at a CPI = 131

If it is to be calculated at 1983 CPI, viz. 149, then its value will be 597.19 × $\left(\frac{149}{131}\right)$ = Rs. 679.24 million = Rs. 680 million (Approximately).

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