If x and y are both positive integers, is xy = 250?

Question

If x and y are both positive integers, is xy >= 250?

(1) x = 300
(2) 50 < y < 100

Bunuel · Answer

9. Inequalities 
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KSBGC · Answer

we are asked to find out whether xy>=250.

Important Note: 
1. both x and y are positive.
2. both x and y are integers.

statement 1: x=300. if we consider the value of y in minimum range just 1 total value of xy will be greater than 250. but we have have to keep in mind that we are looking for greater that + equal. so, not sufficient. 
 statement 2: the range value is given here. and we don't know anything about x. so not sufficient.

so, correct answer will be E.

GMATBusters · Answer

If x and y are both positive integers, is xy >= 250?

(1) x = 300
Min value of positive integer = 1, hence min value of xy = 300. hence xy>= 250. Sufficient.

(2) 50 < y < 100.
(x,y) can be (1,60) or (4,90) . Hence xy =60 or 360. not sufficient.

Answer is A.

RohitGoyal1123 · Answer

St1 : X=300 Since x and y both are positive, this implies that the min value for both X and Y is 1 So any positive multiple of X (= 300), will be >=300 Hence Yes to the question, and sufficient. St2: 50=250 the answer is YES Hence insufficient. Answer Option A

hoang221 · Answer

x and y are both  positive integers

(1) if x = 300, then x * y will be >= 300 (y is positive integer => y minimum = 1). Sufficient
(2) if y = 99 and x = 10, then xy > 250, but if y = 99 and x = 1 then xy < 250. Insufficient

Answer (A)

Deep32470 · Answer

Isn't zero a positive integer?

Bunuel · Answer

No. Zero is  neither positive nor negative  (the only one of this kind).

ZERO:

1. Zero is an  INTEGER .

2. Zero is an  EVEN  integer. An even number is an   integer   that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. Zero is  neither positive nor negative  (the only one of this kind).

4. Zero is  divisible by EVERY integer except 0 itself  ( \frac{x}{0} = 0 , so 0 is a divisible by every number, x).

5. Zero is a  multiple of EVERY integer  ( x*0 = 0 , so 0 is a multiple of any number, x).

6. Zero is  NOT a prime number  (neither is 1 by the way; the smallest prime number is 2).

7. Division by zero is NOT allowed:  anything/0 is undefined .

8. Any non-zero number  to the power of 0 equals 1  ( x^0 = 1 )

9.  0^0  case is  NOT tested on the GMAT .

10. If the exponent n is positive (n > 0),  0^n = 0 .

11. If the exponent n is negative (n < 0),  0^n  is undefined, because  0^{negative}=0^n=\frac{1}{0^{(-n)}} = \frac{1}{0} , which is undefined.  You CANNOT take 0 to the negative power .

12.  0! = 1! = 1 .

If x and y are both positive integers, is xy >= 250?

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If x and y are both positive integers, is xy >= 250?

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