Qualcomm Set Theory Quiz-1

If ∪ = {1, 3, 5, 7, 9, 11, 13}, then which of the following are 

subsets of U.



B = {2, 4}



A = {0}



C = {1, 9, 5, 13}



D = {5, 11, 1}



E = {13, 7, 9, 11, 5, 3, 1}



F = {2, 3, 4, 5}

In a group, there were 115 people whose proofs of identity were 

being verified. Some had passport, some had voter id and some 

had both. If 65 had passport and 30 had both, how many had 

voter id only and not passport?

Among a group of people, 40% liked red, 30% liked blue and 30% 

liked green. 7% liked both red and green, 5% liked both red and 

blue, 10% liked both green and blue. If 86% of them liked at 

least one color, what percentage of people liked all three?

In a class of 120 students numbered 1 to 120, all even numbered 

students opt for Physics, those whose numbers are divisible by 

5 opt for Chemistry and those whose numbers are divisible by 

7 opt for Math. How many opt for none of the three subjects?

Of 60 students in a class, anyone who has chosen to study maths 

elects to do physics as well. But no one does maths and chemistry,

16 do physics and chemistry. All the students do at least one of 

the three subjects and the number of people who do exactly one of 

the three is more than the number who do more than one of the three.

What are the maximum and a minimum number of people who could 

have done Chemistry only?

John was born on Feb 29th of 2012 which happened to be a Wednesday.

If he lives to be 101 years old, how many birthdays would he 

celebrate on a Wednesday?

How many of the following statements have to be true?



i. No year can have 5 Sundays in the month of May and 

5 Thursdays in the month of June.

ii. If Feb 14th of a certain year is a Friday, May 14th of 

the same year cannot be a Thursday

iii. If a year has 53 Sundays, it can have 5 Mondays in the

 month of May.

Set P comprises all multiples of 4 less than 500. Set Q comprises 

all odd multiples of 7 less than 500, Set R comprises all multiples 

of 6 less than 500. How many elements are present in P∪Q∪R?

Set A = {2, 3, 5, 6, 7}, Set B = {a, b, c}. How many onto functions

can be defined from Set B to Set A?

In a class of 345 students, the students who took English, Math,

and Science are equal in number. There are 30 students who took

both English and math, 26 who took both math and science,

28 who took science and English and 14 who took all the 3 subjects.

Answer the following question according to the data given above.

How many students have taken only one subject?