PS-Modern Math/Stats

PS Questions from Modern Math/Stats

In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T, how many of those polled own stock i
SOLUTION: A NEW OG 2021 QUESTION Total number of people who own stock in either AT&T or IBM = 30 + 48 - 15 = 63 Total people in the survey= 200 =&g...
Tue, 12 Oct, 2021 at 3:56 PM
Of the 600 students in a college, 35 percent chose Math, 40 percent chose Science, 50 percent chose History and 18 percent chose exactly 2 of these subjects. How many students chose all 3 subjects? (Note: all the students have chosen at lea
SOLUTION: Total=A+B+C− {Sum of Exactly 2 groups members} −2∗A∩B∩C+ Neither Given: Total = 600 and as a percentage it is 100% Neither = 0 (As all the stu...
Tue, 12 Oct, 2021 at 3:57 PM
A bin contains 20 cards numbered from 1 to 20. If two cards are drawn from the bin without replacement, what is the probability that the sum of the numbers on the cards is even ?
SOLUTION: This is a question from the area of Probability. If we rephrase it, you are asked the probability for obtaining an even sum from numbers 1-20. ...
Tue, 12 Oct, 2021 at 3:57 PM
In a garden 40% of the flowers are roses and rest are carnations. If 1/4 of the roses and 1/10 of carnations are red, what is the probability that a red flower selected at random is a rose?
SOLUTION: This is a problem on Percentage and Probability Let there be "x" flowers Number of roses = 40% = 0.4x Number of carnations = 100...
Tue, 12 Oct, 2021 at 3:57 PM
The symbol ∆ denotes one of the four arithmetic operations:addition,subtraction,multiplication,or division,If 6∆3≤ 3 ,which of the following must be true ? I. 2∆2 = 0 II. 2∆2 = 1 III. 4∆2 = 2
SOLUTION: This is a question from Function and custom characters. As the operation does not increase the value to 9 or 18,it is possibly an operation of d...
Tue, 12 Oct, 2021 at 3:57 PM
Carol purchased one basket of fruit consisting of 4 Apples and 2 Oranges and another basket of fruit consisting of 3 Apples and 5 Oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability
SOLUTION: A NEW OG 2021 QUESTION Its based on the concepts of Counting and Probability (Basket 1)-4 apples, 2 oranges => Total fruits=6 => Sample s...
Tue, 12 Oct, 2021 at 3:57 PM
How many numbers greater than 4000 can be formed using
Concept: The question tests on the basics of Counting Solution We can have 4 digit numbers or 5 digit numbers 4 digit numbers: The first place cannot hav...
Tue, 12 Oct, 2021 at 3:58 PM
2 American men; 2 British men; 2 Chinese men and one each of Dutch, Egyptian, French and German persons are to be seated for a round table conference. If the number of ways in which no two people of the same nationality are together given b
SOLUTION: Number of ways they can be seated =9!=504(6!) 2 Americans, 2 Chinese, 2 British, 4 others Let, A=>2 Americans together B=>2 British togeth...
Tue, 12 Oct, 2021 at 3:58 PM
Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
CONCEPT: The question tests on Overlapping sets. SOLUTION:   Number of Men are = 150-70=80 men Number of women who did NOT try the appetizer = 70-30 = 40 ...
Tue, 12 Oct, 2021 at 4:01 PM
Two cards are drawn successively from a deck of 52 cards. What is the probability that the second card is higher in rank than the first card?
  CONCEPT: The question tests on the concepts of Probability SOLUTION:   The probability that the second card has the same face value as the first (Implyi...
Tue, 12 Oct, 2021 at 4:01 PM