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Q1:

CAT 2024 Slot 1

Data Interpretation > Venn Diagrams

Medium

The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW). $$\newline$$ <img src="https://balti.aftergrad.in/questions/PUNEMN5ygcnhiIg" width="400px"/> $$\newline$$ The following additional facts are known about the countries visited by them. $$\newline$$ <ol> $\newline$ <li>32 countries were visited by at least one of them.</li> $$\newline$$ <li>USA (in ROW) is the only country that was visited by all three of them.</li> $$\newline$$ <li>China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.</li> $$\newline$$ <li>France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.</li> $$\newline$$ <li>Half of the countries visited by both Samantha and Nitesh are in Europe.</li> $\newline$ </ol>

How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?

Entered answer:

Correct Answer

3

Correct Answer

Explanation →

Q2:

CAT 2024 Slot 1

Data Interpretation > Venn Diagrams

Medium

The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW). $$\newline$$ <img src="https://balti.aftergrad.in/questions/PUNEMN5ygcnhiIg" width="400px"/> $$\newline$$ The following additional facts are known about the countries visited by them. $$\newline$$ <ol> $\newline$ <li>32 countries were visited by at least one of them.</li> $$\newline$$ <li>USA (in ROW) is the only country that was visited by all three of them.</li> $$\newline$$ <li>China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.</li> $$\newline$$ <li>France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.</li> $$\newline$$ <li>Half of the countries visited by both Samantha and Nitesh are in Europe.</li> $\newline$ </ol>

How many countries in Europe were visited only by Nitesh?

Entered answer:

Correct Answer

2

Correct Answer

Explanation →

Q3:

CAT 2024 Slot 1

Data Interpretation > Venn Diagrams

Medium

The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW). $$\newline$$ <img src="https://balti.aftergrad.in/questions/PUNEMN5ygcnhiIg" width="400px"/> $$\newline$$ The following additional facts are known about the countries visited by them. $$\newline$$ <ol> $\newline$ <li>32 countries were visited by at least one of them.</li> $$\newline$$ <li>USA (in ROW) is the only country that was visited by all three of them.</li> $$\newline$$ <li>China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.</li> $$\newline$$ <li>France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.</li> $$\newline$$ <li>Half of the countries visited by both Samantha and Nitesh are in Europe.</li> $\newline$ </ol>

How many countries in the ROW were visited by both Nitesh and Samantha?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q4:

CAT 2024 Slot 1

Data Interpretation > Venn Diagrams

Medium

The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW). $$\newline$$ <img src="https://balti.aftergrad.in/questions/PUNEMN5ygcnhiIg" width="400px"/> $$\newline$$ The following additional facts are known about the countries visited by them. $$\newline$$ <ol> $\newline$ <li>32 countries were visited by at least one of them.</li> $$\newline$$ <li>USA (in ROW) is the only country that was visited by all three of them.</li> $$\newline$$ <li>China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.</li> $$\newline$$ <li>France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.</li> $$\newline$$ <li>Half of the countries visited by both Samantha and Nitesh are in Europe.</li> $\newline$ </ol>

How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?

5

10

12

14

Correct Answer

Option 3

Correct Answer

Explanation →

Q5:

CAT 2020 Slot 3

Data Interpretation > Venn Diagrams

Easy

A survey of $600$ schools in India was conducted to gather information about their online teaching learning processes (OTLP). $$\newline$$ The following four facilities were studied. $$\newline$$ F1: Own software for OTLP $$\newline$$ F2: Trained teachers for OTLP $$\newline$$ F3: Training materials for OTLP $$\newline$$ F4: All students having Laptops $$\newline$$ The following observations were summarized from the survey. $$\newline$$ 1. $80$ schools did not have any of the four facilities - F1, F2, F3, F4. $$\newline$$ 2. $40$ schools had all four facilities. $$\newline$$ 3. The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, $26$ and $20$ respectively. $$\newline$$ 4. The number of schools with exactly three of the facilities was the same irrespective of which three were considered. $$\newline$$ 5. $313$ schools had F2. $$\newline$$ 6. $26$ schools had only F2 and F3 (but neither F1 nor F4). $$\newline$$ 7. Among the schools having F4, $24$ had only F3, and $45$ had only F2. $$\newline$$ 8. $162$ schools had both F1 and F2. $$\newline$$ 9. The number of schools having F1 was the same as the number of schools having F4.

What was the total number of schools having exactly three of the four facilities?

200

50

64

80

Correct Answer

Option 1

Correct Answer

Explanation →

Q6:

CAT 2020 Slot 3

Data Interpretation > Venn Diagrams

Easy

A survey of $600$ schools in India was conducted to gather information about their online teaching learning processes (OTLP). $$\newline$$ The following four facilities were studied. $$\newline$$ F1: Own software for OTLP $$\newline$$ F2: Trained teachers for OTLP $$\newline$$ F3: Training materials for OTLP $$\newline$$ F4: All students having Laptops $$\newline$$ The following observations were summarized from the survey. $$\newline$$ 1. $80$ schools did not have any of the four facilities - F1, F2, F3, F4. $$\newline$$ 2. $40$ schools had all four facilities. $$\newline$$ 3. The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, $26$ and $20$ respectively. $$\newline$$ 4. The number of schools with exactly three of the facilities was the same irrespective of which three were considered. $$\newline$$ 5. $313$ schools had F2. $$\newline$$ 6. $26$ schools had only F2 and F3 (but neither F1 nor F4). $$\newline$$ 7. Among the schools having F4, $24$ had only F3, and $45$ had only F2. $$\newline$$ 8. $162$ schools had both F1 and F2. $$\newline$$ 9. The number of schools having F1 was the same as the number of schools having F4.

What was the number of schools having facilities F2 and F4?

85

95

45

185

Correct Answer

Option 4

Correct Answer

Explanation →

Q7:

CAT 2020 Slot 3

Data Interpretation > Venn Diagrams

Easy

A survey of $600$ schools in India was conducted to gather information about their online teaching learning processes (OTLP). $$\newline$$ The following four facilities were studied. $$\newline$$ F1: Own software for OTLP $$\newline$$ F2: Trained teachers for OTLP $$\newline$$ F3: Training materials for OTLP $$\newline$$ F4: All students having Laptops $$\newline$$ The following observations were summarized from the survey. $$\newline$$ 1. $80$ schools did not have any of the four facilities - F1, F2, F3, F4. $$\newline$$ 2. $40$ schools had all four facilities. $$\newline$$ 3. The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, $26$ and $20$ respectively. $$\newline$$ 4. The number of schools with exactly three of the facilities was the same irrespective of which three were considered. $$\newline$$ 5. $313$ schools had F2. $$\newline$$ 6. $26$ schools had only F2 and F3 (but neither F1 nor F4). $$\newline$$ 7. Among the schools having F4, $24$ had only F3, and $45$ had only F2. $$\newline$$ 8. $162$ schools had both F1 and F2. $$\newline$$ 9. The number of schools having F1 was the same as the number of schools having F4.

What was the number of schools having only facilities F1 and F3?

Entered answer:

Correct Answer

42

Correct Answer

Explanation →

Q8:

CAT 2020 Slot 3

Data Interpretation > Venn Diagrams

Easy

A survey of $600$ schools in India was conducted to gather information about their online teaching learning processes (OTLP). $$\newline$$ The following four facilities were studied. $$\newline$$ F1: Own software for OTLP $$\newline$$ F2: Trained teachers for OTLP $$\newline$$ F3: Training materials for OTLP $$\newline$$ F4: All students having Laptops $$\newline$$ The following observations were summarized from the survey. $$\newline$$ 1. $80$ schools did not have any of the four facilities - F1, F2, F3, F4. $$\newline$$ 2. $40$ schools had all four facilities. $$\newline$$ 3. The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, $26$ and $20$ respectively. $$\newline$$ 4. The number of schools with exactly three of the facilities was the same irrespective of which three were considered. $$\newline$$ 5. $313$ schools had F2. $$\newline$$ 6. $26$ schools had only F2 and F3 (but neither F1 nor F4). $$\newline$$ 7. Among the schools having F4, $24$ had only F3, and $45$ had only F2. $$\newline$$ 8. $162$ schools had both F1 and F2. $$\newline$$ 9. The number of schools having F1 was the same as the number of schools having F4.

What was the number of schools having only facilities F1 and F4?

Entered answer:

Correct Answer

20

Correct Answer

Explanation →

Q9:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Medium

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group. $$\newline$$ <ol type="a"> $\newline$ <li>A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.</li> $$\newline$$ <li>25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.</li> $$\newline$$ <li>35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.</li> $$\newline$$ <li>100 patients were treated with exactly three types of medicines.</li> $$\newline$$ <li>40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type В.</li> $$\newline$$ <li>50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.</li> $\newline$ </ol>

How many patients were treated with medicine type B?

Entered answer:

Correct Answer

340

Correct Answer

Explanation →

Q10:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Medium

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group. $$\newline$$ <ol type="a"> $\newline$ <li>A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.</li> $$\newline$$ <li>25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.</li> $$\newline$$ <li>35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.</li> $$\newline$$ <li>100 patients were treated with exactly three types of medicines.</li> $$\newline$$ <li>40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type В.</li> $$\newline$$ <li>50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.</li> $\newline$ </ol>

The number of patients who were treated with medicine types B, C and D, but not type A was:

Entered answer:

Correct Answer

10

Correct Answer

Explanation →

Q11:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Medium

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group. $$\newline$$ <ol type="a"> $\newline$ <li>A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.</li> $$\newline$$ <li>25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.</li> $$\newline$$ <li>35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.</li> $$\newline$$ <li>100 patients were treated with exactly three types of medicines.</li> $$\newline$$ <li>40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type В.</li> $$\newline$$ <li>50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.</li> $\newline$ </ol>

How many patients were treated with medicine types B and D only?

Entered answer:

Correct Answer

150

Correct Answer

Explanation →

Q12:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Medium

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group. $$\newline$$ <ol type="a"> $\newline$ <li>A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.</li> $$\newline$$ <li>25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.</li> $$\newline$$ <li>35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.</li> $$\newline$$ <li>100 patients were treated with exactly three types of medicines.</li> $$\newline$$ <li>40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type В.</li> $$\newline$$ <li>50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.</li> $\newline$ </ol>

The number of patients who were treated with medicine type D was:?

Entered answer:

Correct Answer

325

Correct Answer

Explanation →

Q13:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Easy

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. $$\newline$$ The following facts are known about these ten musicians. $$\newline$$ 1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla. $$\newline$$ 2. D is an expert in both tabla and ghatam. $$\newline$$ 3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam. $$\newline$$ 4. Neither I nor J is an expert in tabla. $$\newline$$ 5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

C

F

H

A

Correct Answer

Option 3

Correct Answer

Explanation →

Q14:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Easy

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. $$\newline$$ The following facts are known about these ten musicians. $$\newline$$ 1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla. $$\newline$$ 2. D is an expert in both tabla and ghatam. $$\newline$$ 3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam. $$\newline$$ 4. Neither I nor J is an expert in tabla. $$\newline$$ 5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?

B

E

J

G

Correct Answer

Option 3

Correct Answer

Explanation →

Q15:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Easy

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. $$\newline$$ The following facts are known about these ten musicians. $$\newline$$ 1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla. $$\newline$$ 2. D is an expert in both tabla and ghatam. $$\newline$$ 3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam. $$\newline$$ 4. Neither I nor J is an expert in tabla. $$\newline$$ 5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

A and B

F and G

C and E

C and F

Correct Answer

Option 3

Correct Answer

Explanation →

Q16:

CAT 2020 Slot 1

Data Interpretation > Venn Diagrams

Easy

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. $$\newline$$ The following facts are known about these ten musicians. $$\newline$$ 1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla. $$\newline$$ 2. D is an expert in both tabla and ghatam. $$\newline$$ 3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam. $$\newline$$ 4. Neither I nor J is an expert in tabla. $$\newline$$ 5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam

If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?

E, F and H

C, G and H

E, G and H

C, E and G

Correct Answer

Option 1

Correct Answer

Explanation →

Q17:

CAT 2019 Slot 2

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?

Entered answer:

Correct Answer

64

Correct Answer

Explanation →

Q18:

CAT 2019 Slot 2

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president?

Entered answer:

Correct Answer

84

Correct Answer

Explanation →

Q19:

CAT 2019 Slot 2

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

What percentage of the students surveyed who supported both proposals A and B preferred Sunita for student union president?

25

50

20

40

Correct Answer

Option 2

Correct Answer

Explanation →

Q20:

CAT 2019 Slot 2

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

How many of the students surveyed who supported proposal B, did not support proposal A and preferred Ragini as student union president?

150

210

200

40

Correct Answer

Option 1

Correct Answer

Explanation →

Q21:

CAT 2018 Slot 2

Data Interpretation > Venn Diagrams

Medium

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: $$\newline$$ 1. The number of students enrolled only in L is double the number of students enrolled in all the three sports. $$\newline$$ 2. There are a total of $17$ students enrolled in G. $$\newline$$ 3. The number of students enrolled only in G is one less than the number of students enrolled only in L. $$\newline$$ 4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L. $$\newline$$ 5. The maximum student enrollment is in L. $$\newline$$ 6. Ten students enrolled in G are also enrolled in at least one more sport.

What is the minimum number of students enrolled in both G and L but not in K?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q22:

CAT 2018 Slot 2

Data Interpretation > Venn Diagrams

Medium

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: $$\newline$$ 1. The number of students enrolled only in L is double the number of students enrolled in all the three sports. $$\newline$$ 2. There are a total of $17$ students enrolled in G. $$\newline$$ 3. The number of students enrolled only in G is one less than the number of students enrolled only in L. $$\newline$$ 4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L. $$\newline$$ 5. The maximum student enrollment is in L. $$\newline$$ 6. Ten students enrolled in G are also enrolled in at least one more sport.

If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?

18

19

17

22

Correct Answer

Option 4

Correct Answer

Explanation →

Q23:

CAT 2018 Slot 2

Data Interpretation > Venn Diagrams

Medium

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: $$\newline$$ 1. The number of students enrolled only in L is double the number of students enrolled in all the three sports. $$\newline$$ 2. There are a total of $17$ students enrolled in G. $$\newline$$ 3. The number of students enrolled only in G is one less than the number of students enrolled only in L. $$\newline$$ 4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L. $$\newline$$ 5. The maximum student enrollment is in L. $$\newline$$ 6. Ten students enrolled in G are also enrolled in at least one more sport.

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and K?

Entered answer:

Correct Answer

2

Correct Answer

Explanation →

Q24:

CAT 2018 Slot 2

Data Interpretation > Venn Diagrams

Medium

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: $$\newline$$ 1. The number of students enrolled only in L is double the number of students enrolled in all the three sports. $$\newline$$ 2. There are a total of $17$ students enrolled in G. $$\newline$$ 3. The number of students enrolled only in G is one less than the number of students enrolled only in L. $$\newline$$ 4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L. $$\newline$$ 5. The maximum student enrollment is in L. $$\newline$$ 6. Ten students enrolled in G are also enrolled in at least one more sport.

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?

7

6

5

8

Correct Answer

Option 2

Correct Answer

Explanation →

Q25:

CAT 2018 Slot 1

Data Interpretation > Venn Diagrams

Hard

<p>1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:</p><ol><li>The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.</li><li>The number of satellites serving all three of B, C, and S is 100.</li><li>The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.</li><li>The number of satellites serving O is the same as the number of satellites serving both C and S but not B.</li></ol>

<p>What best can be said about the number of satellites serving C?</p>

Must be at least 100

Cannot be more than 800

Must be between 450 and 725

Must be between 400 and 800

Correct Answer

Option 3

Correct Answer

Explanation →

Q26:

CAT 2018 Slot 1

Data Interpretation > Venn Diagrams

Hard

<p>1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:</p><ol><li>The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.</li><li>The number of satellites serving all three of B, C, and S is 100.</li><li>The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.</li><li>The number of satellites serving O is the same as the number of satellites serving both C and S but not B.</li></ol>

<p>What is the minimum possible number of satellites serving B exclusively?</p>

250

100

500

200

Correct Answer

Option 1

Correct Answer

Explanation →

Q27:

CAT 2018 Slot 1

Data Interpretation > Venn Diagrams

Hard

<p>1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:</p><ol><li>The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.</li><li>The number of satellites serving all three of B, C, and S is 100.</li><li>The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.</li><li>The number of satellites serving O is the same as the number of satellites serving both C and S but not B.</li></ol>

<p>If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?</p>

At most 475

Exactly 475

No conclusion is possible based on the given information

At least 475

Correct Answer

Option 1

Correct Answer

Explanation →

Q28:

CAT 2018 Slot 1

Data Interpretation > Venn Diagrams

Hard

<p>1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:</p><ol><li>The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.</li><li>The number of satellites serving all three of B, C, and S is 100.</li><li>The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.</li><li>The number of satellites serving O is the same as the number of satellites serving both C and S but not B.</li></ol>

<p>If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?</p>

The number of satellites serving B exclusively is exactly 250

The number of satellites serving B is more than 1000

The number of satellites serving C cannot be uniquely determined

All 1600 satellites serve B or C or S

Correct Answer

Option 3

Correct Answer

Explanation →