# CAT 1996 LRDI | Previous Year CAT Paper

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

The data given in the table shows the investment details in country ‘Fortune Land’ of companies A, B, C, D, E and F. Figures in the table are in US dollars in billions.

**1. CAT 1996 LRDI | DI - Tables & Graphs**

What is the percentage increase in investment of B, C, D and E from year 1 to year 3?

- A.
121%

- B.
321%

- C.
221%

- D.
300%

Answer: Option C

**Explanation** :

Amount invested on B, C, D and E in year 1

= 4.6 + 5.8 + 3.11 + 10.6 = 24.11

Amount invested on B, C, D and E in year 3

= 18.7 + 21.2 + 7.7 + 29.8 = 77.4

∴ Percentage increase $=\frac{77.4-24.11}{24.11}$ × 100 221%

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**2. CAT 1996 LRDI | DI - Tables & Graphs**

What is the ratio of investments of E to F for the years 1 to 3?

- A.
31 : 19

- B.
19 : 31

- C.
20 : 29

- D.
41 : 53

Answer: Option B

**Explanation** :

Company E’s investment for years 1 to 3

= 10.6 + 17.4 + 29.8 = 57.8

Company F’s investment for years 1 to 3

= 7.8 + 25.3 + 60.1 = 93.2

∴ Ratio = 57 : 93 = 19 : 31

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**3. CAT 1996 LRDI | DI - Tables & Graphs**

What is D’s contribution as a percentage of total investments in year 2?

- A.
8.2%

- B.
4.5%

- C.
7.4%

- D.
9.2%

Answer: Option C

**Explanation** :

Total investment in year 2

= 6.7 + 7.5 + 12.5 + 5.6 + 17.4 + 25.3 = 75

D’s contribution in year 2 = 5.6

∴ Percentage contribution = $\frac{5.6}{75}$ = 7.4%

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**4. CAT 1996 LRDI | DI - Tables & Graphs**

For which company is investment not increased from year 1 to year 3?

- A.
C

- B.
D

- C.
F

- D.
None of these

Answer: Option D

**Explanation** :

As we can see from the table, none of the investments increases from year 1 to 3.

Hence, none of these.

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**5. CAT 1996 LRDI | DI - Tables & Graphs**

What is the percentage difference in investments of companies A, B, C and companies D, E, F in year 2?

- A.
75%

- B.
81%

- C.
67.5%

- D.
42.3%

Answer: Option B

**Explanation** :

In year 2,

A + B + C = 6.7 + 7.5 + 12.5 = 26.7

D + E + F = 5.6 + 17.4 + 25.3 = 48.3

Percentage difference = $\frac{48.3-26.7}{26.7}$ = 80.8% 81%

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

**6. CAT 1996 LRDI | DI - Tables & Graphs**

The average revenue collected in the given 7 years is approximately

- A.
Rs. 164 lakh

- B.
Rs. 168 lakh

- C.
Rs. 171 lakh

- D.
Rs. 175 lakh

Answer: Option B

**Explanation** :

To handle this type of questions, the best way is to express the data in tabular form.

The average revenue collected in the given 7 years $=\frac{(120+130+145+165+185+200+220)}{7}$ = 166.42

which is approximately is Rs. 168 lakh.

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**7. CAT 1996 LRDI | DI - Tables & Graphs**

The expenditure for the 7 years together form what per cent of the revenues during the same period?

- A.
75%

- B.
67%

- C.
62%

- D.
83%

Answer: Option A

**Explanation** :

To handle this type of questions, the best way is to express the data in tabular form.

Expenses of 7 years add up to 877. Revenue of 7 years add up to 1165.

Hence, the required answer is $\frac{877}{1165}\approx \frac{880}{1170}\approx 75\%$

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**8. CAT 1996 LRDI | DI - Tables & Graphs**

Which year showed the greatest percentage increase in profit as compared to the previous year?

- A.
1993

- B.
1994

- C.
1990

- D.
1992

Answer: Option D

**Explanation** :

To handle this type of questions, the best way is to express the data in tabular form.

We need to find the profit in each year.

From the above table, clearly, the answer is 1992, as in 1992 the profit is maximum, i.e. 33.33%

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**9. CAT 1996 LRDI | DI - Tables & Graphs**

In which year was the growth in expenditure maximum as compared to the previous year?

- A.
1993

- B.
1994

- C.
1991

- D.
1992

Answer: Option D

**Explanation** :

To handle this type of questions, the best way is to express the data in tabular form.

The growth in expenditure over the previous year can be expressed as:

Hence, it is maximum for 1992.

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**10. CAT 1996 LRDI | DI - Tables & Graphs**

If the profit in 1996 shows the annual rate of growth as it had shown in 1995 over the previous year, then what approximately will be the profit in 1996?

- A.
Rs. 72 lakh

- B.
Rs. 82 lakh

- C.
Rs. 93 lakh

- D.
Rs. 78 lakh

Answer: Option B

**Explanation** :

To handle this type of questions, the best way is to express the data in tabular form.

Profit in 1994 = 60. Profit in 1995 = 70. Growth percentage in profit in 1995 over 1994 = $\left(\frac{10}{60}\right)$ × 100 = 16.66%

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**Direction: **Answer the questions based on the following information, which gives data about certain coffee producers in India.

**11. CAT 1996 LRDI | DI - Tables & Graphs**

What is the maximum production capacity (in '000 tonnes) of Lipton for coffee?

- A.
2.53

- B.
2.85

- C.
2.24

- D.
2.07

Answer: Option A

**Explanation** :

Lipton production is 1.64 (in ‘000 tonnes) which corresponds to 64.8% capacity. Maximum capacity will be 100%. For 64.8% it is 1.64 . ∴ For 100% it will be $\left(\frac{100}{64.8}\right)\times 1.64\approx \frac{100}{65}$ × 1.64 ≈ 2.53 (in ‘000 tonnes).

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**12. CAT 1996 LRDI | DI - Tables & Graphs**

Which company out of the four companies mentioned above has the maximum unutilised capacity (in '000 tonnes)?

- A.
Lipton

- B.
Nestle

- C.
Brooke Bond

- D.
MAC

Answer: Option D

**Explanation** :

Hence, we find that the maximum unutilised capacity is for MAC, viz. 1,050 tonnes.

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**13. CAT 1996 LRDI | DI - Tables & Graphs**

What is the approximate total production capacity (in ‘000 tonnes) for coffee in India?

- A.
18

- B.
20

- C.
18.7

- D.
Data insufficient

Answer: Option C

**Explanation** :

61.3 % ≡ 11.6

∴ 100% ≡ $\left(\frac{100}{61.3}\right)\times 11.6\approx \left(\frac{100}{62}\right)$ × 11.6 ≈ 18.7

~ 18.7 tonnes (in ‘000)

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**14. CAT 1996 LRDI | DI - Tables & Graphs**

The highest price for coffee per kilogram is for

- A.
Nestle

- B.
MAC

- C.
Lipton

- D.
Data insufficient

Answer: Option D

**Explanation** :

From the data that is given, we cannot say anything about the price of coffee for the companies among others.

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**15. CAT 1996 LRDI | DI - Tables & Graphs**

What percent of the total market share (by sales value) is controlled by ‘others’?

- A.
60%

- B.
32%

- C.
67%

- D.
insufficient data

Answer: Option B

**Explanation** :

Total sales of all brands = (31.15 + 26.75 + 15.25 + 17.45) = Rs. 90.6 crore

Total sales value of others = 132.8 – 90.6 = Rs. 42.2 crore

Required percentage = $\frac{42.2}{132.8}\times 100\approx \frac{42}{132}$ × 100 = 31.18 ≈ 32%

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

Mulayam Software Co., before selling a package to its clients, follows the given schedule.

The number of people employed in each month is:

**16. CAT 1996 LRDI | DI - Tables & Graphs**

Due to overrun in ‘design’, the design stage took 3 months, i.e. months 3, 4 and 5. The number of people working on design in the fifth month was 5. Calculate the percentage change in the cost incurred in the fifth month. (Due to improvement in ‘coding’ technique, this stage was completed in months 6-8 only.)

- A.
225%

- B.
150%

- C.
275%

- D.
240%

Answer: Option B

**Explanation** :

Originally for the fifth month, 4 people were scheduled to do coding. This would have cost them (10000 × 4)

= Rs. 40,000. Now there are 5 people who are working on design in the fifth month.

The total cost for this would be (20000 × 5) = Rs.1,00,000.

Hence, percentage change in the cost incurred in the fifth month = $\frac{(10000040000)}{40000}\times $ 100 = 150%

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**17. CAT 1996 LRDI | DI - Tables & Graphs**

With reference to the above question, what is the cost incurred in the new ‘coding’ stage? (Under the new technique, 4 people work in the sixth month and 5 in the eighth.)

- A.
Rs. 1,40,000

- B.
Rs. 1,50,000

- C.
Rs. 1,60,000

- D.
Rs. 1,70,000

Answer: Option A

**Explanation** :

As given in the previous question, it can be seen that the coding stage is now completed in 6th, 7th and 8th months.

Number of people employed in the 6th month is 4 and in the 8th month is 5. In the 7th month also there are 5 people employed (from previous data). Hence, if we were to combine these months, we find that the total cost incurred in the coding stage = (5 + 5 + 4) × 10000 = Rs.1,40,000.

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**18. CAT 1996 LRDI | DI - Tables & Graphs**

What is the difference in cost between the old and the new techniques?

- A.
Rs. 30,000

- B.
Rs. 60,000

- C.
Rs. 70,000

- D.
Rs. 40,000

Answer: Option B

**Explanation** :

The difference in the cost will arise only because of the following months: 5, 6 and 8. And we can compare the costs as given below

It can be clearly seen that the difference in the cost between the old and the new technique is Rs. 60,000.

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**19. CAT 1996 LRDI | DI - Tables & Graphs**

Under the new technique, which stage of software development is most expensive for Mulayam Software Co.?

- A.
Testing

- B.
Specification

- C.
Coding

- D.
Design

Answer: Option D

**Explanation** :

The cost incurred in various stages under the present scheme is as given below.

Hence, the most expensive stage is Design.

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**20. CAT 1996 LRDI | DI - Tables & Graphs**

Which five consecutive months have the lowest average cost per man-month under the new technique?

- A.
1-5

- B.
9-13

- C.
11-15

- D.
None of these

Answer: Option C

**Explanation** :

The cost incurred in various stages under the present scheme is as given below.

It is clear that the average cost for 5 consecutive month period is lowest for months 11 to 15.

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

The amount of money invested (rupees in crores) in the core infrastructure areas of two districts, Chittoor and Khammam of Andhra Pradesh, is as follows.

**21. CAT 1996 LRDI | DI - Tables & Graphs**

By what per cent was the total investment in the two districts more in 1996 as compared to 1995?

- A.
14%

- B.
21%

- C.
24%

- D.
18%

Answer: Option D

**Explanation** :

Total investment in the two districts in 1995 = 2932.1+ 7081.6 ≈ 10,000.

Total investment in the two districts in 1996 = 3489.5 + 8352 ≈ 11840.

Required percentage = $\frac{(11840-10000)}{10000}\approx 18\%$

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**22. CAT 1996 LRDI | DI - Tables & Graphs**

The investment in electricity and thermal energy in 1995 in these two districts formed what per cent of the total investment made in that year?

- A.
41%

- B.
47%

- C.
52%

- D.
55%

Answer: Option B

**Explanation** :

Total investment in electricity and thermal energy in both the districts in 1995 = (815.2 + 632.4 + 2065.8 + 1232.7) = 4746.1.

Total investment made in that year = 2923.1 + 7081.6 = 10004.7 ≈ 10000

Hence, required percentage is $\frac{4746.1}{10,000}\approx 47\%$

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**23. CAT 1996 LRDI | DI - Tables & Graphs**

In Khammam district, the investment in which area in 1996 showed the highest percentage increase over the investment in that area in 1995?

- A.
Electricity

- B.
Chemical

- C.
Solar

- D.
Nuclear

Answer: Option B

**Explanation** :

Percentage increase in investment in electricity ≈ $\frac{300}{2070}$ = 14%. Percentage increase in investment in chemical ≈ $\frac{(986.4-745.3)}{745.31}\times 100\approx \frac{240}{745}\approx 32\%.$

Percentage increase in investment in solar $=\frac{428.6}{1792.1}\approx \frac{430}{1792}\approx 23\%$

Percentage increase in investment in nuclear $=\frac{507.8}{1674.3}\approx \frac{500}{1670}\approx 29\%$ Clearly percentage increase in investment in chemical is the highest.

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**24. CAT 1996 LRDI | DI - Tables & Graphs**

Approximately how many times was the total investment in Chittoor to the total investment in Khammam?

- A.
2.8

- B.
2

- C.
2.4

- D.
1.7

Answer: Option C

**Explanation** :

Total investment in Chittoor = 2923.1 + 3489.5 = 6412.6 ≈ 6410. Total investment in Khammam = 7081.6 + 8352 ≈ 15430. Required ratio = $\left(\frac{15430}{6410}\right)$ = 2.4 times.

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**25. CAT 1996 LRDI | DI - Tables & Graphs**

If the total investment in Khammam shows the same rate of increase in 1997, as it had shown from 1995 to 1996, what approximately would be the total investment in Khammam in 1997?

- A.
Rs. 9,850 crore

- B.
Rs. 10,020 crore

- C.
Rs. 9,170 crore

- D.
Rs. 8,540 crore

Answer: Option A

**Explanation** :

Percentage increase in the total investment in Khammam in 1996 = $\left(\frac{(8352-7081.6)}{7081.6}\right)\times 100\approx \frac{1270}{7080}\approx 18\%$

Total investment in Khammam in 1997 will be 1.18 × 8352 = 9855.36 ≈ 9850

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

Employees in thousands Sales – Cost = Profit

**26. CAT 1996 LRDI | DI - Tables & Graphs**

Which month records the highest profit?

- A.
September

- B.
July

- C.
March

- D.
May

Answer: Option A

**Explanation** :

By observation gap between the Cost and the Sales is the highest in September. Thus, the highest profit is recorded in September.

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**27. CAT 1996 LRDI | DI - Tables & Graphs**

In which month is the total increase in the cost highest as compared to two months ago?

- A.
March

- B.
September

- C.
July

- D.
May

Answer: Option D

**Explanation** :

By observation difference between the Cost in March and May is the highest. Thus, in May total increase in Cost is the highest as compared to two months ago.

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**28. CAT 1996 LRDI | DI - Tables & Graphs**

In which month is the percentage increase in sales two months before, the highest?

- A.
March

- B.
September

- C.
July

- D.
May

Answer: Option D

**Explanation** :

By observation difference between the Cost in March and May is the highest. Also, the Sales in March is less as compared to the following months. Thus, in May percentage increase in sales two months before the highest.

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**29. CAT 1996 LRDI | DI - Tables & Graphs**

Which month has the highest profit per employee?

- A.
September

- B.
July

- C.
January

- D.
March

Answer: Option D

**Explanation** :

By observation increase in the number of employees from January to March is the less than the increase in profit from January to March. Thus, profit per employee is the highest in March.

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**30. CAT 1996 LRDI | DI - Tables & Graphs**

Assuming that no employees left the job, how many more people did the company take on in the given period?

- A.
4,600

- B.
5,000

- C.
5,800

- D.
6,400

Answer: Option B

**Explanation** :

From January to November the number of employees that company takes = (16 – 11) × 1000 = 5000.

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

The first table gives the percentage of students in MBA class, who sought employment in the areas of finance, marketing and software. The second table gives the average starting salaries of the students per month, (rupees in thousands) in these areas. The third table gives the number of students who passed out in each year.

First table

Second table

Third table

**31. CAT 1996 LRDI | DI - Tables & Graphs**

The number of students who get jobs in finance is less than the students getting marketing jobs, in the 5 years, by

- A.
826

- B.
650

- C.
750

- D.
548

Answer: Option C

**Explanation** :

∴ Difference in number of students employed from finance and marketing = 1837 – 1087.5 = 749.5 ≈ 750.

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**32. CAT 1996 LRDI | DI - Tables & Graphs**

What is the percentage increase in the average salary of finance from 1992 to 1996?

- A.
60%

- B.
32%

- C.
96%

- D.
80%

Answer: Option D

**Explanation** :

Percentage increase in the average salary of finance $=\frac{9810-5450}{5450}\times 100=80\%$

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**33. CAT 1996 LRDI | DI - Tables & Graphs**

The average annual rate at which the initial salary offered in software increases is

- A.
21%

- B.
33%

- C.
15.9%

- D.
65%

Answer: Option C

**Explanation** :

Average annual rate at which the initial salary offered in software increases $=\frac{1}{4}\left[\frac{(8640-5290)}{5290}\times 100\right]=15.83\%\approx 15.9\%$

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**34. CAT 1996 LRDI | DI - Tables & Graphs**

What is the average monthly salary offered to a management graduate in 1993?

- A.
Rs. 6,403

- B.
Rs. 6,330

- C.
Rs. 6,333

- D.
Cannot be determined

Answer: Option D

**Explanation** :

As we don’t have any information about the average monthly salary offered to ‘Others’, we cannot determine the answer.

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**35. CAT 1996 LRDI | DI - Tables & Graphs**

In 1994, students seeking jobs in finance earned ___ more than those opting for software (per annum).

- A.
Rs. 43 lakh

- B.
Rs. 33.8 lakh

- C.
Rs. 28.4 lakh

- D.
Rs. 38.8 lakh

Answer: Option B

**Explanation** :

Students seeking jobs in finance earned = 253 × 7550 = Rs. 16,28,550

Difference in the amount earned

= 1910150 – 1628550 = Rs. 2.81 lakh per month

= Rs. 33.8 lakh per annum.

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**36. CAT 1996 LRDI | LR - Syllogisms**

**Direction: Given below are six statements followed by sets of three. You are to mark the option in which the statements are most logically related.**

1. Some pins are made of tin

2. All tin is made of copper

3. All copper is used for pins

4. Some tin is copper

5. Some pins are used for tin

6. Some copper is used for tin

- A.
123

- B.
356

- C.
341

- D.
15

Answer: Option C

**Explanation** :

If all copper is used for pins and some tin is also copper, then it follows that some pins are made of tin.

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**37. CAT 1996 LRDI | LR - Syllogisms**

**Direction: Given below are six statements followed by sets of three. You are to mark the option in which the statements are most logically related.**

1. An ostrich lays eggs

2. All birds lay eggs

3. Some birds can fly

4. An ostrich cannot fly

5. An ostrich is a bird

6. An ostrich cannot swim

- A.
251

- B.
125

- C.
453

- D.
532

Answer: Option A

**Explanation** :

If all birds lay eggs and ostrich is a bird, it follows that ostrich also lays eggs.

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**38. CAT 1996 LRDI | LR - Syllogisms**

**Direction: Given below are six statements followed by sets of three. You are to mark the option in which the statements are most logically related.**

1. Some paper is wood

2. All wood is good

3. All that is good is wood

4. All wood is paper

5. All paper is good

6. Some paper is good

- A.
254

- B.
246

- C.
612

- D.
621

Answer: Option B

**Explanation** :

If all wood is good and all wood is paper, it follows that some paper is also good.

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**39. CAT 1996 LRDI | LR - Syllogisms**

1. All bricks are tricks

2. Some tricks are shrieks

3. Some that are shrieks are bricks

4. Some tricks are not bricks

5. All tricks are shrieks

6. No tricks are shrieks

- A.
513

- B.
234

- C.
123

- D.
543

Answer: Option A

**Explanation** :

If all bricks are tricks and all tricks are shrieks, then some shrieks should be bricks.

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**40. CAT 1996 LRDI | LR - Syllogisms**

1. Some sand is band

2. All sandal is band

3. All band is sandal

4. No sand is sandal

5. No band is sand

6. Some band is sandal

- A.
231

- B.
165

- C.
453

- D.
354

Answer: Option A

**Explanation** :

If all sandal is band and all band is sand, it follows that some sand is band.

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**41. CAT 1996 LRDI | LR - Syllogisms**

1. No wife is a life

2. All life is strife

3. Some wife is strife

4. All that is wife is life

5. All wife is strife

6. No wife is strife

- A.
256

- B.
632

- C.
126

- D.
245

Answer: Option D

**Explanation** :

All life is strife and all that is wife is life, therefore all wife is also strife.

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**42. CAT 1996 LRDI | LR - Syllogisms**

1. Some crows are flies

2. Some flies are mosquitoes

3. All mosquitoes are flies

4. Some owls are flies

5. All owls are mosquitoes

6. Some mosquitoes are not owls

- A.
123

- B.
356

- C.
145

- D.
542

Answer: Option A

**Explanation** :

Six is five but some six is twelve, therefore some twelve is also five.

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**43. CAT 1996 LRDI | LR - Syllogisms**

1. Six is five

2. Five is not four

3. Some five is ten

4. Some six is twelve

5. Some twelve is five

6. Some ten is four

- A.
145

- B.
123

- C.
156

- D.
543

Answer: Option A

**Explanation** :

Six is five but some six is twelve, therefore some twelve is also five.

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**44. CAT 1996 LRDI | LR - Syllogisms**

1. Poor girls want to marry rich boys

2. Rich girls want to marry rich boys

3. Poor girls want to marry rich girls

4. Rich boys want to marry rich girls

5. Poor girls want to marry rich girls

6. Rich boys want to marry poor girls

- A.
145

- B.
123

- C.
234

- D.
456

Answer: Option A

**Explanation** :

Although this doesn't seem convincing, but if we look at it from purely logical point of view, then if poor girls want to marry rich boys, and rich boys want to marry rich girls, then logically poor girls want to marry rich girls.

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**45. CAT 1996 LRDI | LR - Cubes**

A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?

- A.
16

- B.
8

- C.
12

- D.
24

Answer: Option B

**Explanation** :

Since each side of the smaller cube is 3 cm, it can be figured out that each face of the original cube is divided into 4 parts, or in other words, the original cube is divided into 64 smaller cubes. For a smaller cube to have none of its sides painted, it should not be a part of the face of the original cube (i.e. none of its faces should be exposed).

We can find at the centre of the original cube there are (2 × 2 × 2) = 8 such cubes.

**Hint:**

****Students please note that the answer can only be a cube of some integer. The only cube among the answer choices is (2)^{3} = 8.

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**46. CAT 1996 LRDI | LR - Clocks**

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hr 18 min and 15 s of watch time. What is the time gained or lost by this watch in one day?

- A.
14 min 10 s lost

- B.
13 min 50 s lost

- C.
13 min 20 s gained

- D.
14 min 40 s gained

Answer: Option B

**Explanation** :

In a watch that is running correct, the minute hand should cross the hour hand once in every 65 + $\frac{5}{11}$ min. So they should ideally cross three times once in $3\times \left(\frac{720}{11}\right)=\frac{2060}{11}$ min = 196.36 min. But in the watch under consideration they meet after every 3 hr, 18 min and 15 s, i.e. (3 × 60 + 18 + $\frac{15}{60}$) = $\frac{793}{4}$ min = 198.25 min. In other words, our watch is actually losing time (as it is slower than the normal watch). Hence, when our watch elapsed 198.25 min, it actually should have elapsed 196.36 min. So in a day, when our watch will elapse (60 × 24) = 1440, it should actually elapse $\left(1440\times \frac{196.36}{198.25}\right)$ = 1426. 27. Hence, the amount of time lost by our watch in one day = (1440 – 1426.27) = 13.73, i.e. 13 min and 50 s (approximately).

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