SliceCo, a company that sells knives, is structured so that each of it

Hi Bunuel,

I could see that the response by QuantMadeEasy is C for this question. Is it correct? If so, can you please help here on how to proceed once we get 2 pairs when x = 12, y = 5 and x = 4, y = 20.

No correct explanation is given for the question.
Experts may please step in, the correct answer IMO should be C and not A.

Bunuel
chetan2u
KarishmaB

There are x directors and each director has y salespeople so there are total xy salespeople. x and y both should be integers.

(1) Each regional director sold 150 knives, and each salesperson sold 80 knives.

150x + 80xy = 2200 = Total knives sold

x (15 + 8y) = 220

220 = 2 * 2 * 5 * 11
Since x and y both are integers, x should be a factor of 220 and in that case, y should be an integer too.
If x = 1 or 2 or 5, y is not an integer.
But if x = 4, y is an integer
If x = 10 or greater, (15 + 8y) becomes 22 or less but even if y were 1, (15 + 8y) = 23. So x cannot be 10 or greater.

Hence the only value x can take is 4. Sufficient alone.

(2) Each regional director had 5 salespeople.

Not enough info. We don't know how many knives were sold by each person.

Answer (A)

thakrarsagar

Even I earlier figured the answer as C.

In retrospection, each director handles y employees. So if the number of directors is x, then the number of employees is xy.
Only x=4 & xy=20 (i.e. y=5) satisfies that condition. Hence the answer is A.

X=12 , y= 5 is ruled out. You can’t have more number of directors than salespeople working for them

Posted from my mobile device