Is x/y < 0? 1) x^4*y^5 < 0 As x^4 is always positive, it implies y < 0 if x > 0 then x/y < 0 if x < 0, then x/y > 0 Insufficient 2) x^5*y^3 < 0 As X,Y are both having the odd power, they retain their sign, and Since the product is positive , both the variables have same sign Positive * positive = po...

From a group of J employees, K will be selected, at random, to sit in a line of K chairs. There are absolutely no restrictions, either in the selection process nor in the order of seating - both are entirely random. What is the probability that the employee Lisa is seated exactly next to employee Ph...

On each lab that René completed he received either 100

On each lab that René completed he received either 100 points or 85 points. On how many labs did he score 100 points? 1) René's scores for his completed labs totaled 1140 points. We have 60 points less for 1200, which is 15*4 In have 15 points less than 100 in 85 So there are total 4 lab with a sc...

In how many ways can a coach select a 4-person university team from a pool of eligible candidates? 1) The number of eligible candidates is three times as great as the number of slots on the team. Given that coach select a 4-person university team, implies number of slots = 4 number of eligible candi...

Simplifying the question,
(ax + ay)/(x + y) = (a*(x+y))/(x+y)
= a
So, question ask value of a?

1) only x and y values are provided
Insufficient

2) a = 6
Sufficient
Option B is correct

From the figure, ∠KJN = 108 (interior angle of a pentagon) Since the line KN is formed by joining opposite vertexes of a triangle ∠JKN = ∠JNK = x Angles in a triangle = 180 ∠JKN + ∠JNK = 180 - ∠KJN 2x = 180 - 108 x= 36 ∠JKN = ∠JNK = 36 Given, ∠QRN = 90 and ∠QNR = 36 since ∠KJN ...

Example to illustrate 1) Consider 239, whose $$\sqrt{239}$$ is in between 15 and 16, so we consider all prime numbers below 15 to check whether they are factors of 239 This is a shortest way to find whether a number is prime Prime numbers less than 16 are 2,3,5,7,11,13 239 is not divisible by any of...

salary increment of Harry = $100
the salary increment of Sally was 200% more than that of Harry = $100 + (200/100)*$100
Salary increment of Sally = $300
salary increment of Ron was 300% of the salary increment of Sally = $300 *(300/100)
Salary of Ron = $900
Option C is correct