Sets Test - 5...

Directions: Study the following information and answer the question.

A newsagent sells the dailies Hindu, Express and Mail in equal number to 906 persons. 21 persons buy Express and Mail, 36 buy Hindu and Mail, 27 buy Hindu and Express, and buy 9 all the three dailies.

The percentage of people buying Hindu or Express but not Mail is

If S is the set of all the factors of 1024, then how many elements of S will have 6 as the last digit?

If A B and B A, then

If A B, then for a non-empty set C,

Find the incorrect option.

For any two sets A and B, A = B is equivalent to

If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find A ∪ (B ∩ C).

In a survey at Massachusetts Institute of Technology, 80 students were asked whether they used laptop or desktop or both. Of these, 50 students said they used desktop and 70 said they used laptop. What could be the respective minimum and maximum numbers of students who used both desktop and laptop?

If A = {x: – 2 ≤ x ≤ 2, x ∈ integers} and B = {x: – 3 ≤ x ≤ 3, x ∈ integers}, find A ∪ B.

Which of the following sets is/are null set(s)?

A = {x | x = 7, 2x = 4}
B = {x | x = 3x, x ≠ 0}
C = {x | x - 5 = 4}

A survey of 90 children shows that 40 like Thumbs Up, 22 like Coke, 6 like both Thumbs Up and Pepsi, 13 like both Pepsi and Coke, 6 like both Thumbs Up and Coke, 2 like all three and 20 like none of these drinks.

How many like exactly two of these drinks?

^{_{If set A has 5 elements and set B has 7 elements, then A B has}}

(i) 5 elements
(ii) 7 elements
(iii) 12 elements
(iv) 8 elements
(v) 13 elements

(A C) (B C) is best depicted by:

Which of the following is/are the example(s) of a singleton set?

i. {x : x ∈ N x ≤ 5, x ≥ 6}
ii. {x : x ∈ Z x > 5, x < 7}
iii. {x : x ∈ R x > 1}
iv. {x : x ∈ Z x > 3, x < 3}

In a town, 48% people are educated, 51% people are young, 60% are servicemen, 24% are educated and young. There are 25% are young and servicemen, 27% are educated and servicemen and 5% fit in all the three categories. What is the ratio of educated or young, but not servicemen to young or servicemen but not educated?

In a group of 50 persons, everyone takes either tea or coffee. If 35 persons take tea and 25 persons take coffee, then the number of persons who take tea only (and not coffee) is