11y=19z, this can be derived using the problem statements. For this equation to hold good, y must be a multiple of 19, as 11 is not. Otherwise the left hand side of the equation cannot be equal to right hand side, which in essence is a multiple of 19. Likewise, z has to be a multiple of 11, as 19 is...

Question- "m" is divisible by how many Prime numbers? So for any given value of m that fits the conditions, how many prime numbers would it take to divide m. (question is not asking you to count the number of possible m's that fit the conditions) With condition (1)- m can be any one of odd...

Regarding level of difficulty, this is probably an 80th percentile question. Now i'm winging it :-)

Yes.

Don't think the question is wrong. Without the benefit of diagram, here is my proposed solution- Given arc lengths- AB = 2 x BC AC = 3 x AB Assuming BC = y, AB= 2y, AC = 6y. Circumference = AB+BC+AC = 9y arc y has an angle of 360/9 = 40 degrees Length of arc BCA = BC+AC = y+6y = 7y Therefore angle B...

Thanks for the link to the diagram. I misunderstood the question. I was assuming angle BCA was referring to the angle subtended by the arc BCA at the center of the circle. Didn't realize the diagram was referring to a triangle. With all the calculations remaining the same as my previous post, angle ...

5^21 x 4^11 = 2 x 10^n

LHS
5^21 x (2^2)^11
5^21 x 2^22

RHS
2 x 10^n
2 x (2x5)^n
2 x (2^n) x (5^n)
2^(n+1) x (5^n)

Now given LHS=RHS
n = 21

Yes, x cannot be zero as y/x=3. If x were zero, y/x would have been undefined.

Try this: for x to be divisible by 6, it has to be divisible by factors of 6-> 3 and 2. From (1), we can conclude that x is divisible by 3 (if x+3 is divisible by 3, it means x+3 is a multiple of 3 or x is a multiple of 3) From (2), we can conclude that x is divisible by 2 (if x+3 is an odd numbe...

(2) by itself gives the ratio of KN/MN. Not sure if C is the right answer.

Here is the sol:

Since the three rectangles have same dimensions, say width=x, length =y

KN=y=2x
MN=y+x

KN/MN = 2x/3x = 2/3

If we focus on the author's conclusion: "Incentives drive dramatic increase in products sold during promotion period but at the cost of manufacturer's profitability" (Key words- Increased Sales, Promotion Period, impacts Manfuturer's Profitability) Choice D, seems to weaken the author's ar...

I think you meant "D" and not "E" in your comment - "I agree that B makes an assumption that many people in X buy the latest. But E too makes the assumption that all clothes and electronics available in country X are imported." The way I read the question and the answer...

Pl read the question carefully.

(1) is referring to 50 prime numbers between 2 and x; not the number 50. So if you start writing the prime-number sequence starting 2, the value of the 50th prime number is x.

There isn't any step missing between equation 2 and 3 for the left-hand side.

a/b+c/d = ((axd)+(bxc))/(bxd)........Algebra