Top 48 CAT Venn Diagrams Questions With Solutions

How many boys are there in the class?

Which of the following can be determined from the given information?
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.

What fraction of the class are interested in attending a 2-day event?

What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

How many female dancers are interested in attending a 2-day event?

How many foreign products were FDA approved cosmetic products?

How many cosmetic products did not have FDA approval?

Which among the following options best represents the number of domestic cosmetic products that had both the approvals?

If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?

If 50 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval?

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

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

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

How many patients were treated with medicine type B?

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

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

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

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

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

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

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

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

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

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

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

What best can be said about the number of satellites serving C?

What is the minimum possible number of satellites serving B exclusively?

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

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

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

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?

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?

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?

What best can be concluded about the number of candidates sitting for the separate test for BIE who were at or above the 90th percentile overall in CET?

If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, what is the number of candidates who are at or above the 90th percentile overall and at or above the 80th percentile in both P and M in CET?

If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE?

If the number of candidates who are at or above the 90th percentile overall and also are at or above the 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE?

Choose the set in which the statements are most logically related.
A. Some of my closest friends disapprove of me.
B. Some of my closest friends are aardvarks.
C. All of my closest friends disapprove of me.
D. All who disapprove of me are aardvarks.
E. Some who disapprove of me are aardvarks.
F. Some of my closest friends are no aardvarks.

Choose the set in which the statements are most logically related.
A. All those who achieve great ends are happy.
B. All young people are happy.
C. All young people achieve great ends.
D. No young people achieve great ends.
E. No young people are happy,
F. Some young people are happy.

Choose the set in which the statements are most logically related.
A. All candid men are persons who acknowledge merit in a rival.
B. Some learned men are very candid.
C. Some learned men are not persons who acknowledge merit in a rival.
D. Some learned men are persons who are very candid.
E. Some learned men are not candid.
F. Some persons who recognize merit in a rival are learned.

Choose the set in which the statements are most logically related.
A. All roses are fragrant.
B. All roses are majestic.
C. All roses are plants.
D. All roses need air.
E. All plants need air.
F. All plants need water.

Choose the set in which the statements are most logically related.
A. All men are men of scientific ability.
B. Some women are women of scientific ability.
C. Some men are men of artistic genius.
D. Some men and women are of scientific ability.
E. All men of artistic genius are men of scientific ability.
F. Some women of artistic genius are women of scientific ability.

Choose the set in which the statements are most logically related.
A. No fishes breathe through lungs.
B. All fishes have scales.
C. Some fishes breed up stream.
D. All whales breathe through lungs.
E. No whales are fishes.
F. All whales are mammals.

Choose the set in which the statements are most logically related.
A. Some mammals are carnivores.
B. All whales are mammals.
C. All whales are aquatic animals.
D. All whales are carnivores.
E. Some aquatic animals are mammals.
F. Some mammals are whales.

Choose the set in which the statements are most logically related.
A. First-year students of this college like to enter for the prize.
B. All students of this college rank as University students.
C. First-year students of this college are entitled to enter for he prize.
D. Some who rank as University students are First-year students.
E. All University students are eligible to enter for the prize.
F. All those who like to are entitled to enter for the prize.

Choose the set in which the statements are most logically related.
A. Some beliefs are uncertain.
B. Nothing uncertain is worth dying for.
C. Some belief is worth dying for.
D. All beliefs are uncertain.
E. Some beliefs are certain.
F. No belief is worth dying for.

Choose the set in which the statements are most logically related.
A. No lunatics are fit to serve on a jury.
B. Everyone who is sane can do logic.
C. None of your sons can do logic.
D. Some who can do logic are fit to serve on a jury.
E. All who can do logic are fit to serve on a jury.
F. Everyone who is sane is fit to serve on a jury.