# CAT 2003 LRDI - Leaked | Previous Year CAT Paper

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**Answer the following question based on the information given below.**

The length of an infant is one of the measures of his/her development in the early stages of his/her life. The figure below shows the growth chart of four infants in the first five months of life.

**1. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

After which month did Seeta's rate of growth start to decline?

- A.
Second month

- B.
Third month

- C.
Fourth month

- D.
Never

Answer: Option B

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**Explanation** :

It starts to decline after the 3rd month because the slope of the line depicting her development starts to decrease after the 3rd month.

Hence, option (b).

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**2. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Who grew at the fastest rate in the first two months of life?

- A.
Geeta

- B.
Seeta

- C.
Ram

- D.
Shyam

Answer: Option A

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**Explanation** :

Geeta grew at the fastest rate because her development line has the maximum slope.

Hence, option (a).

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**3. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

The rate of growth during the third month was the lowest for ___.

- A.
Geeta

- B.
Seeta

- C.
Ram

- D.
Shyam

Answer: Option A

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**Explanation** :

Rate of growth during the third month was the lowest in case of Geeta because the slope of her development line is negative while it is positive for the 2nd month.

Hence, option (a).

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**4. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Among the four infants, who grew the least in the first five months of life?

- A.
Geeta

- B.
Seeta

- C.
Ram

- D.
Shyam

Answer: Option B

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**Explanation** :

Taking approximate values for the growth rates of the infants we get:

Growth of Seeta in first five months = 58 – 50 = 8

Growth of Geeta in first five months = 62 – 49 = 13

Growth of Ram in first five months = 63 – 52 = 11

Growth of Shyam in first five months = 63 – 54 = 9

Though the growth of Seeta and Shyam is approximately the same but looking at the graph we can see that growth of Seeta is less as compared to Shyam.

Hence, option (b).

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**Answer the following question based on the information given below.**

A research agency collected the following data regarding the admission process of a reputed management school in India.

Choose 1 if only A is true

Choose 2 if only B is true

Choose 3 if both A and B are true

Choose 4 if neither A nor B is true

**5. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Statement A: The success rate of moving from written test to interview stage for males was worse than for females in 2003.

Statement B: The success rate of moving from written test to interview stage for females was better in 2002 than in 2003.

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option D

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**Explanation** :

**For statement A:**

Success rate for males in 2002 = $\frac{637}{60133}$ × 100 = 1.06%

∴ Statement A is false.

**For Statement B:**

Success rate for females in 2002 = $\frac{138}{15389}$× 100 = 0.90%

Success rate for females in 2003 = $\frac{399}{40763}$× 100 = 0.98%

∴ Statement B is also false.

Hence, option (d).

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**6. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Statement A: In 2002, the number of females selected for the course as a proportion of the number of females who bought application forms, was higher than the corresponding proportion for males.

Statement B: In 2002, among those called for interview, males had a greater success rate than females.

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option D

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**Explanation** :

**For statement A:**

Required proportion for females = $\frac{48}{19236}$= 0.25

Required proportion for males = $\frac{171}{61205}=$ 0.28

∴ Statement A is false.

**For statement B:**

Succes rate for males = $\frac{171}{684}$× 100 = 25%

Succes rate for females = $\frac{48}{138}$×100 = 34.78%

∴ Statement B is also false.

Hence, option (d).

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**7. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Statement A: The percentage of absentees in the written test among females decreased from 2002 to 2003.

Statement B: The percentage of absentees in the written test among males was larger than among females in 2003.

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option A

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**Explanation** :

**For statement A:**

Require percentage for females in 2002 = $\frac{3847}{19326}$× 100 ≈ 20%

∴ Statement A is true.

**For statement B:**

Required percentage for males = $\frac{3165}{63298}$× 100 ≈ 5%

Required percentage for males = $\frac{4529}{45292}$× 100 ≈ 10%

∴ Statement B is false.

Hence, option (a).

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**Answer the following question based on the information given below.**

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

**8. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

The percentage of respondents aged less than 40 years is at least ___.

- A.
10%

- B.
16.67%

- C.
20.0%

- D.
30%

Answer: Option D

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**Explanation** :

Males with their ages = 38, 32, 21, 32, 33

Females with their ages = 34, 35, 27, 37

∴ Minimum number of respondents aged less than 40 = 5 males + 4 females = 9

∴ Required percentage = $\frac{9}{30}$× 100 = 30%

Hence, option (d).

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**9. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Given the information above, the percentage of respondents older than 35 can be at most ___.

- A.
30%

- B.
73.33%

- C.
76.67%

- D.
90%

Answer: Option C

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**Explanation** :

Maximum number of respondents older than 35

= Total ( Minimum number of respondents aged 35 or below

= 30 ( (4 males + 3 females)

= 23

∴ Required percentage = $\frac{23}{30}$× 100 = 76.67%

Hence, option (c).

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**10. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least ___.

- A.
6.67%

- B.
10%

- C.
13.33%

- D.
26.67%

Answer: Option C

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**Explanation** :

Percentage of respondents in 35-40 years age group is at least

= 1 male (38, 38) with no children + 1 female with 1 child + 1 female with 2 children + 1 female with 3 children

= 4

∴ Required percentage = $\frac{4}{30}$× 100 = 13.33%

Hence, option (c).

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**Answer the following question based on the information given below.**

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

**11. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

In which category was the percentage of spam emails increasing but at a decreasing rate?

- A.
Financial

- B.
Scams

- C.
Products

- D.
None of these

Answer: Option C

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**Explanation** :

The category in which the percentage of spam emails is increasing but at a decreasing rate is Products.

Hence, option (c).

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**12. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

In the health category, the number of spam emails received in December 2002 as compared to June 2003

- A.
was larger

- B.
was smaller

- C.
was equal

- D.
Cannot be determined

Answer: Option A

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**Explanation** :

∵ Total number of emails in Dec 2002 > Total number of emails in June 2003

∴ 19% of the total number of emails in Dec 2002 is greater than 18% of the total number of emails in June 2003.

∴ The total number of spam emails in the health category was larger in December 2002 as compared to June 2003.

Hence, option (a).

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**13. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

In the financial category, the number of spam emails received in September 2002 as compared to March 2003

- A.
was larger

- B.
was smaller

- C.
was equal

- D.
Cannot be determined

Answer: Option D

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**Explanation** :

It cannot be determined because though the percentage of spam emails in financial category is lower in case of September 2002 as compared to March 2003 but the total number of spam emails in September 2002 was higher as compared to March 2003.

∴ We cannot say that for which month and year out of these two, the number of spam emails in financial category was larger or smaller.

Hence, option (d).

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**Answer the following question based on the information given below.**

One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002-July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

**14. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

How many times was the issue of securities under-subscribed, i.e., how often did the total amount mobilized fall short of the amount notified?

- A.
0

- B.
1

- C.
2

- D.
3

Answer: Option B

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**Explanation** :

The total amount mobilized falls short of the amount notified only once on 17 July-02 for the first round, where the total amount mobilized was Rs. 16 crores and the notified amount was Rs. 40 crores.

Hence, option (b).

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**15. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Which of the following is true?

- A.
The second round issues have a higher maturity than the first round for all dates.

- B.
The second round issue of any date has a lower maturity only when the first round notified amount exceeds that of the second round.

- C.
On at least one occasion, the second round issue having lower maturity received a higher number of competitive bids.

- D.
None of the above three statements is true.

Answer: Option C

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**Explanation** :

The second round issue has lower maturity on 17 July-02, 09 April-03 and 04 June-03.

Of this on 04 June-03, the second round received higher competitive bids at 378 as compared to 187 in the first round.

Hence, option (c).

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**16. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Which of the following statements is NOT true?

- A.
Competitive bids received always exceed non-competitive bids received.

- B.
The number of competitive bids accepted does not always exceed the number of non-competitive bids accepted.

- C.
The value of competitive bids accepted on any particular date is never higher for higher maturity.

- D.
The value of non-competitive bids accepted in the first round is always greater than that in the second round.

Answer: Option D

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**Explanation** :

All the statements except option 4 are true. The value of non-competitive bids accepted in the first round is always greater than that in the second round except on 7-Nov-2002, 5-May-2003 and 2-Jul-2003.

Hence, option (d).

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**Answer the following question based on the information given below.**

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

**17. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

For how many companies does the profit exceed 10% of turnover?

- A.
8

- B.
7

- C.
6

- D.
5

Answer: Option B

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**Explanation** :

Draw a line from the bottom left corner to the top right corner of the graph. The symbols lying above the line are the ones in which the profits exceeds 10% of the turnover.

∵ The equation of this line is Profit = 0.10 × turnover

There were 2 Textile companies, 2 Cement companies and 3 Steel companies for which the profits exceeded 10% of turnover.

∴ For 7 companies the profits exceeded 10% of turnover.

Hence, option (b).

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**18. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

For how many steel companies with a turnover of more than 2000 is the profit less than 300?

- A.
0

- B.
1

- C.
2

- D.
7

Answer: Option C

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**Explanation** :

There were two steel companies with turnover more than 2000 and profits less than 300.

Hence, option (c).

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**19. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

An investor wants to buy stock of only steel or cement companies with a turnover more than 1000 and profit exceeding 10% of turnover. How many choices are available to the investor?

- A.
4

- B.
5

- C.
6

- D.
7

Answer: Option B

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**Explanation** :

Out of the seven companies which lie above the line represented by the equation as solved in the first question, two are textile companies.

∴ 5 choices are available to the investor.

Hence, option (b).

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**Answer the following question based on the information given below.**

Details of the top 20 MBA schools in the US as ranked by US News and World Report, 1997 are given below.

**20. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose

A. Annual tuition fee does not exceed $23,000 and

B. Median starting salary is at least $70,000Which school will she select?

- A.
University of Virginia

- B.
University of Pennsylvania

- C.
Northwestern University

- D.
University of California - Berkeley

Answer: Option D

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**Explanation** :

She should not select University of Virginia because its median salary is less than $70,000.

She should not select University of Pennsylvania because its tuition fee exceeds $23,000.

She should not select Northwestern University because its tuition fee exceeds $23,000.

∴ She should select University of California-Berkeley (Annual tuition fee is $18,788 and Median starting salary is $70,000).

Hence, option (d).

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**21. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

In terms of starting salary and tuition fee, how many schools are uniformly better (higher median starting salary AND lower tuition fee) than Dartmouth College?

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option B

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**Explanation** :

There were two schools which satisfied this criterion.

Stanford University (median starting salary = $82,000 and annual tuition fee = $23,100)

New York University (median starting salary = $70,583 and annual tuition fee = $23,554)

Hence, option (b).

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**22. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

How many schools in the list above have single digit rankings on at least 3 of the 4 parameters (overall ranking, ranking by academics, ranking by recruiters and ranking by placement)?

- A.
10

- B.
5

- C.
7

- D.
8

Answer: Option D

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**Explanation** :

There were eight schools which satisfied this criterion. These were first nine schools except Dartmouth College.

Hence, option (d).

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**Answer the following question based on the information given below.**

Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding that age. For example, first entry indicates that there are 9 children aged 4 years or less. Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions.

**23. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

What is the number of children of age 9 years or less whose height does not exceed 135 cm?

- A.
48

- B.
45

- C.
3

- D.
Cannot be determined

Answer: Option B

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**Explanation** :

Number of children of age 9 years or less = 48

Number of children having height of 135 cm or less = 45

∵ The table given is a cumulative frequency table.

∴The lower value is the answer.

∴ 45 is the number of children satisfying both the conditions.

Hence, option (b).

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**24. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

How many children of age more than 10 years are taller than 150 cm and do not weigh more than 48 kg?

- A.
16

- B.
40

- C.
9

- D.
Cannot be determined

Answer: Option A

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**Explanation** :

∴ The number of children who are above 10 years and taller than 150 cm is 25.

Out of these 25 children, 9 weigh above 48 kg.

∴ Required number of children = 25 − 9 = 16

Hence, option (a).

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**25. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Among the children older than 6 years but not exceeding 12 years, how many weigh more than 38 kg?

- A.
34

- B.
52

- C.
44

- D.
Cannot be determined

Answer: Option C

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**Explanation** :

Number of students up to age 12 = 77

Number of students up to weight 38 kg = 33

∴ Number of children weighing more than 38 kg but not older than 12 years

= 77 − 33

= 44

Hence, option (c).

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**Answer the following question based on the information given below.**

An industry comprises four firms (A, B, C, and D). Financial details of these firms and of the industry as a whole for a particular year are given below. Profitability of a firm is defined as profit as a percentage of sales.

**26. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Which firm has the highest profitability?

- A.
A

- B.
B

- C.
C

- D.
D

Answer: Option D

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**Explanation** :

It can be observed that the profit value of D is relatively more and the sales value of D is relatively less.

Profitability of A ≈ $\frac{5}{25}$= 20%

Profitability of B ≈ $\frac{4}{25}$= 16%

Profitability of C ≈ $\frac{4.8}{24}$ = 20%

Profitability of D ≈ $\frac{4}{16}$ = 25%

Hence, option (d).

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**27. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

If Firm A acquires Firm B, approximately what percentage of the total market (total sales) will they corner together?

- A.
55%

- B.
45%

- C.
35%

- D.
50%

Answer: Option A

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**Explanation** :

Total sales of A and B combined together would be approximately Rs. 50,000

∴ Required percentage = $\frac{50000}{90000}$× 100 ≈ 55%

Hence, option (a).

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**Answer the following question based on the information given below.**

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

**28. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

Which of the following is one of the married couples?

- A.
A & B

- B.
B & E

- C.
D & E

- D.
A & D

Answer: Option D

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**Explanation** :

Let’s try to organize the given information.

E is not a housewife.

∴ B is a housewife and E is an engineer because there are two housewives in the group.

∵ No woman in the group is an engineer or accountant.

∴ E is a male.

A and D are one of the married couples.

Hence, option (d).

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**29. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

What is E's profession?

- A.
Engineer

- B.
Lawyer

- C.
Professor

- D.
Accountant

Answer: Option A

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**Explanation** :

Let’s try to organize the given information.

E is not a housewife.

∴ B is a housewife and E is an engineer because there are two housewives in the group.

∵ No woman in the group is an engineer or accountant.

∴ E is a male.

A and D are one of the married couples.

E is an engineer.

Hence, option (a).

Workspace:

**30. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

How many members of the group are males?

- A.
2

- B.
3

- C.
4

- D.
Cannot be determined

Answer: Option B

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**Explanation** :

Let’s try to organize the given information.

E is not a housewife.

∴ B is a housewife and E is an engineer because there are two housewives in the group.

∵ No woman in the group is an engineer or accountant.

∴ E is a male.

A and D are one of the married couples.

A, C and E are males.

Hence, option (b).

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**Answer the following question based on the information given below.**

The Head of a newly formed government desires to appoint five of the six elected members A, B, C, D, E and F to portfolios of Home, Power, Defence, Telecom and Finance. F does not want any portfolio if D gets one of the five. C wants either Home or Finance or no portfolio. B says that if D gets either Power or Telecom then she must get the other one. E insists on a portfolio if A gets one.

**31. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

Which is a valid assignment?

- A.
A-Home, B-Power, C-Defence, D-Telecom, E-Finance

- B.
C-Home, D-Power, A-Defence, B-Telecom, E-Finance

- C.
A-Home, B-Power, E-Defence, D-Telecom, F-Finance

- D.
B-Home, F-Power, E-Defence, C-Telecom, A-Finance

Answer: Option B

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**Explanation** :

The best method here is to eliminate the options on the basis of given information.

Option 1 cannot be the answer as C gets Defence.

Option 3 cannot be the answer as F cannot be with D.

Option 4 cannot be the answer as C gets Telecom.

Option 2 is a valid assignment as it satisfies all the given conditions.

Hence, option (b).

Workspace:

**32. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

If A gets Home and C gets Finance, then which is NOT a valid assignment for Defence and Telecom?

- A.
D-Defence, B-Telecom

- B.
F-Defence, B-Telecom

- C.
B-Defence, E-Telecom

- D.
B-Defence, D-Telecom

Answer: Option D

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**Explanation** :

If D gets Telecom then B must get Power.

∴ Option 4 is not a valid assignment.

Hence, option (d).

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**Answer the following question based on the information given below.**

Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70 : 30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

**33. CAT 2003 LRDI - Leaked | LR - Mathematical Reasoning**

The cheapest way to manufacture AVOCADO paint would cost:

- A.
Rs.19.50 per litre

- B.
Rs.19.75 per litre

- C.
Rs.20.00 per litre

- D.
Rs. 20.25 per litre

Answer: Option B

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**Explanation** :

AVOCADO paint would cost minimum when its constituents have the minimum possible price.

AVOCADO is made by mixing equal 'ORANGE' and 'PINK'.

∴ We have the following possibilities:

From the table we have the minimum cost as Rs. 19.75 per litre.

Hence, option (b).

Workspace:

**34. CAT 2003 LRDI - Leaked | LR - Mathematical Reasoning**

WASHEDORANGE can be manufactured by mixing

- A.
CREAM and RED in the ratio 14 : 10

- B.
CREAM and RED in the ratio 3 : 1

- C.
YELLOW and PINK in the ratio 1 : 1

- D.
RED, YELLOW, and WHITE in the ratio 1 : 1 : 2

Answer: Option D

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**Explanation** :

The possible combinations for WASHEDORANGE are given below:

Hence, option (d).

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**35. CAT 2003 LRDI - Leaked | LR - Mathematical Reasoning**

Assume that AVOCADO, CREAM, and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?

- A.
AVOCADO

- B.
CREAM

- C.
WASHEDORANGE

- D.
Sufficient data is not available

Answer: Option B

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**Explanation** :

From the solution to the first question of the set we know that the least possible price for AVOCADO is Rs. 19.75.

The least possible price for CREAM is when WHITE and YELLOW is mixed in the ratio 7 : 3

$=\frac{7\times 15+3\times 25}{10}$ = Rs. 18

The least possible price for WASHEDORANGE is when ORANGE and WHITE is mixed in the ratio 1 : 1

$=\frac{15+22}{2}$ = Rs. 18.5

∴ Profitability is the maximum for CREAM.

Hence, option (b).

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**Answer the following question based on the information given below.**

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.

**36. CAT 2003 LRDI - Leaked | LR - Arrangements**

Which of the following cannot be seated at either end?

- A.
C

- B.
D

- C.
F

- D.
G

Answer: Option C

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**Explanation** :

B is seated at the centre seat no. 4.

A and G can be seated on either seats 6 or 7.

∵ C and D have to sit as far as possible

∴ They can occupy seats 1 and 5.

∴ We have the following possible arrangements.

$\frac{D/C}{1}\frac{E/F}{2}\frac{F/E}{3}\frac{B}{4}\frac{C/D}{5}\frac{A/G}{6}\frac{G/A}{7}$

Out of the given options, we know that F cannot be seated at either end.

Hence, option (c).

Workspace:

**37. CAT 2003 LRDI - Leaked | LR - Arrangements**

Which of the following pairs cannot be seated together?

- A.
B & D

- B.
C & F

- C.
D & G

- D.
E & A

Answer: Option D

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**Explanation** :

E always occupies either position 2 or position 3 and A always occupies either position 6 or position 7.

∴ E and A can never sit together.

Hence, option (d).

Workspace:

**38. CAT 2003 LRDI - Leaked | LR - Arrangements**

Which of the following pairs cannot occupy the seats on either side of B?

- A.
F & D

- B.
D & E

- C.
E & G

- D.
C & F

Answer: Option C

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**Explanation** :

G can never sit beside B.

Hence, option (c).

Workspace:

**39. CAT 2003 LRDI - Leaked | LR - Blood Relation**

**In each question there are two statements: A and B.**

**Choose 1 **if the question can be answered by one of the statements alone but not by the other.

**Choose 2 **if the question can be answered by using either statement alone.

**Choose 3 **if the question can be answered by using both the statements together but cannot be answered using either statement alone.

**Choose 4 **if the question cannot be answered even by using both the statements A and B.

F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have?

A. F has two brothers.

B. M has five siblings.

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option A

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**Explanation** :

F and M have a total of four brothers and three sisters.

Statement A states that F has two brothers, which means M should have two brothers.

∴ Statement A is alone sufficient.

Statement B is redundant as no additional information is provided.

Hence, option (a).

Workspace:

**Answer the following question based on the information given below.**

Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot.

i. Ganesh shot 8 baskets less than Ashish.

ii. Dhanraj and Ramesh together shot 37 baskets.

iii. Jugraj shot 8 baskets more than Dhanraj.

iv. Ashish shot 5 baskets more than Dhanraj.

v. Ashish and Ganesh together shot 40 baskets.

**40. CAT 2003 LRDI - Leaked | LR - Mathematical Reasoning**

Which of the following statements is true?

- A.
Ramesh shot 18 baskets and Dhanraj shot 19 baskets.

- B.
Ganesh shot 24 baskets and Ashish shot 16 baskets.

- C.
Jugraj shot 19 baskets and Dhanraj shot 27 baskets.

- D.
Dhanraj shot 11 baskets and Ashish shot 16 baskets.

Answer: Option A

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**Explanation** :

From the given information following equations can be formed:

Ashish – Ganesh = 8 …(i)

Dhanraj + Ramesh = 37 …(ii)

Jugraj – Dhanraj = 8 …(iii)

Ashish – Dhanraj = 5 …(iv)

Ashish + Ganesh = 40 …(v)

Adding equations (i) and (v), we get,

2 × Ashish = 48

∴ Ashish = 24

∴ Ganesh = 16

∴ Dhanraj = 19, Jugraj = 27 and Ramesh = 18

Dhanraj shot 19 baskets and Ramesh shot 18 baskets.

∴ Option 1 is true.

Hence, option (a).

Workspace:

**41. CAT 2003 LRDI - Leaked | LR - Mathematical Reasoning**

Which of the following statements is true?

- A.
Dhanraj and Jugraj together shot 46 baskets.

- B.
Ganesh shot 18 baskets and Ramesh shot 21 baskets.

- C.
Dhanraj shot 3 more baskets than Ramesh.

- D.
Ramesh and Jugraj together shot 29 baskets.

Answer: Option A

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**Explanation** :

Dhanraj = 19 and Jugraj = 27

∴ Dhanraj + Jugraj = 46

∴ Option 1 is true.

Hence, option (a).

Workspace:

**Answer the following question based on the information given below.**

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.

i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.

ii. One woman spent Rs. 1340 and she was not Dhenuka.

iii. One woman spent Rs. 1378 more than Chellamma.

iv. One woman spent Rs. 2517 and she was not Archana.

v. Helen spent more than Dhenuka.

vi. Shahnaz spent the largest amount and Chellamma the smallest.

**42. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

What was the amount spent by Helen?

- A.
Rs. 1193

- B.
Rs. 1340

- C.
Rs. 2234

- D.
Rs. 2517

Answer: Option B

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**Explanation** :

The amounts are Rs. 2,234, Rs. 1,193, Rs. 1,340 and Rs. 2,517. The fifth amount is not given.

∵ One woman’s amount = Chellamma’s amount + Rs. 1,378

∵ All the women spent more than Rs. 1,000.

∴ Chellamma’s amount

= Rs. 2,517 – Rs. 1,378

= Rs. 1,139

∴ The biggest amount of Rs. 2,517 is spent by Shahnaz.

∵ It is given that Helen spent more than Dhenuka and Dhenuka did not spend Rs. 1,340.

∴ Dhenuka spent Rs. 1,193.

We also know that the women who spent Rs. 2,234 arrived before the lady who spent 1193.

∴ Archana spent Rs. 2,234 and Helen spent Rs. 1,340.

The amount spent by Helen was Rs. 1,340.

Hence, option (b).

Workspace:

**43. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

Which of the following amounts was spent by one of them?

- A.
Rs. 1139

- B.
Rs. 1378

- C.
Rs. 2571

- D.
Rs. 2718

Answer: Option A

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**Explanation** :

Rs. 1,139 was one of the amounts which was spent by Chellamma.

Hence, option (a).

Workspace:

**44. CAT 2003 LRDI - Leaked | DI - Tables & Graphs**

The woman who spent Rs. 1193 is

- A.
Archana

- B.
Chellamma

- C.
Dhenuka

- D.
Helen

Answer: Option C

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**Explanation** :

The woman who spent Rs. 1,193 was Dhenuka.

Hence, option (c).

Workspace:

**Answer the following question based on the information given below.**

Five friends meet every morning at Sree Sagar restaurant for an idli-vada breakfast. Each consumes a different number of idlis and vadas. The number of idlis consumed are 1, 4, 5, 6, and 8, while the number of vadas consumed are 0, 1, 2, 4, and 6. Below are some more facts about who eats what and how much?

i. The number of vadas eaten by Ignesh is three times the number of vadas consumed by the person who eats four idlis.

ii. Three persons, including the one who eats four vadas, eat without chutney.

iii. Sandeep does not take any chutney.

iv. The one who eats one idli a day does not eat any vadas or chutney. Further, he is not Mukesh.

v. Daljit eats idli with chutney and also eats vada.

vi. Mukesh, who does not take chutney, eats half as many vadas as the person who eats twice as many idlis as he does.

vii. Bimal eats two more idlis than Ignesh, but Ignesh eats two more vadas than Bimal.

**45. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

Which one of the following statements is true?

- A.
Daljit eats 5 idlis.

- B.
Ignesh eats 8 idlis.

- C.
Bimal eats 1 idli.

- D.
Bimal eats 6 idlis.

Answer: Option A

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**Explanation** :

From (i),

Number of vadas eaten by Ignesh is 6 and the person eating 4 idlis eats 2 vadas.

From (vii),

Number of vadas eaten by Bimal = 4

Number of idlis eaten by Bimal = 8

Number of idlis eaten by Ignesh = 6

Ignesh, Mukesh, Daljit and Bimal eat at least 1 vada and 1 idli.

∴ Sandeep doesn’t eat any vadas but eats 1 idli.

From (vi),

Number of vadas eaten by Mukesh = 2

Number of idlis eaten by Mukesh = 4

Daljit eats 5 idlis.

Hence, option (a).

Workspace:

**46. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

Which of the following statements is true?

- A.
Sandeep eats 2 vadas.

- B.
Mukesh eats 4 vadas.

- C.
Ignesh eats 6 vadas.

- D.
Bimal eats 4 vadas.

Answer: Option C

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**Explanation** :

Ignesh eats 6 vadas and Bimal eats 4 vadas.

There seems to be some problem with this question as there are two options which are correct.

Hence, option (c) or option 4.

Workspace:

**47. CAT 2003 LRDI - Leaked | LR - Selection & Distribution**

Which of the following statements is true?

- A.
Mukesh eats 8 idlis and 4 vadas but no chutney.

- B.
The person who eats 5 idlis and 1 vada does not take chutney.

- C.
The person who eats equal number of vadas and idlis also takes chutney.

- D.
The person who eats 4 idlis and 2 vadas also takes chutney.

Answer: Option C

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**Explanation** :

Ignesh eats 6 vadas and 6 idlis with chutney.

Hence, option (c).

Workspace:

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