PS-Modern Math/Stats

PS Questions from Modern Math/Stats

In how many ways can 4 arts students and 4 science students be arranged alternately
Concept:  The question tests on application of Combination Solution: We can start with either the arts or the science students. Suppose we start with the...
Tue, 12 Oct, 2021 at 4:32 PM
A solution is 90% glycerin. If there are 4 gallons of the solution,
Concept:  The question tests on application of Mixtures Solution: 4 gallons of 90% glycerine contains 0.9 * 4 = 3.6 gallons of glycerine and 0.4 gallons o...
Tue, 12 Oct, 2021 at 4:32 PM
Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56.
Concept:  The question tests on Combinatorics Solution:  nPr=n!/(n−r)! 6 seats to arrange 5 people = 6Pr=6!(6−5)!=6!=720  Option D
Tue, 12 Oct, 2021 at 4:32 PM
In how many ways can you make a five letter password using the first ten letters
Concept:  The question tests on Combinatorics Solution: We can use either the box method or by using the equation for arrangements. The number of ways of...
Tue, 12 Oct, 2021 at 4:33 PM
The teachers’ colony has 2800 members, out of which 650 members read only English newspaper
  Concept:  The question tests on Overlapping sets Solution: By set theory, Total = Only A + Only B + Only C + (Only A and B) + (Only A and C) + (Only B ...
Tue, 12 Oct, 2021 at 4:33 PM
The number of matches produced in Oregon in 1980 was approximately the same as the number produced
Concept:  The question tests on basic Table Analysis (using percentage) Solution: The number of Matches Produced in Oregon in 1980 = 17% of 1.2 B Let the...
Tue, 12 Oct, 2021 at 4:33 PM
Which of the following equations defines a function containing the (x,y) pairs
Concept:  The question tests on Coordinate Geometry Solution: Method 1: This can be done by eliminating options. Take the 1st pair (1, -1) so when x = 1,...
Tue, 12 Oct, 2021 at 4:33 PM
If Q is an odd number and the median of Q consecutive integers is 120
Concept: The question tests on basics in statistics Solution: For such questions, assuming values/plugging in is the best approach that can give accura...
Tue, 12 Oct, 2021 at 4:33 PM
In what ratio must rice at $9.30 per Kg be mixed with rice at $10.80 per Kg
Concept: The question tests on Alligation Solution: By the rule of alligations, Q1/Q2=P2−P/P−P1 Where Q1 and Q2 are the quantities of the cheaper and cos...
Tue, 12 Oct, 2021 at 4:33 PM
If f(x)=x2−5x+6, which of the following indicates the set of all values
Concept: The question tests on Functions  Solution: The function will be undefined if we get the square root of a negative number. x^2−5x+6=x^2−2x−3x+6=x...
Tue, 12 Oct, 2021 at 4:33 PM