Quant- Overlapping Set

Question 1

n(AᴜB) is the number of elements present in either of the sets A or B.
n(A∩B) is the number of elements present in both the sets A and B.
n(AᴜB) = n(A) + (n(B) – n(A∩B)

Application-

What is the number of integers that are common to both set S and set T ?

1. The number of integers in S is 7, and the number of integers in T is 6.
2. U is the set of integers that are in S only or in T only or in both, and the number of integers in U is 10.

Answer 1

Answer = C

Question 2

Let S be a set of outcomes and let A and B be events with outcomes in S. Let ∼B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ?

(1)  P(A ⋃ B) = 0.7
(2)  P(A ⋃∼B) = 0.9

https://gmatclub.com/forum/let-s-be-a-set-of-outcomes-and-let-a-and-b-be-events-with-outcomes-in-305932.html

Answer 2

Ans = C

Question 3

A country’s per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500 ?

(1)  Country G’s national debt to the nearest $1,000,000,000 is $43,000,000,000.
(2)  Country G’s population to the nearest 1,000,000 is 86,000,000.

I could not understand the question stem

https://gmatclub.com/forum/a-country-s-per-capita-national-debt-is-its-national-debt-divided-by-305927.html

Answer 3

Ans = E

Question 4

How many people in Town X read neither the World newspaper nor the Globe newspaper?
Of the 2,500 people in Town X, 1,000 read no newspaper.
Of the people in Town X, 700 read the Globe only and 600 read the World only.

Answer 4

Answer E