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Re: Is the exact value of x/y less than 0.5? [#permalink]
03 Jan 2014, 03:29

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teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C _________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Re: Is the exact value of x/y less than 0.5? [#permalink]
18 Jun 2014, 06:26

WoundedTiger wrote:

teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C

Shouldn't the possible range be from 25 to 34 and 65 to 74 because the moment the number becomes 35 , it will round up to 40

Re: Is the exact value of x/y less than 0.5? [#permalink]
18 Jun 2014, 08:39

Expert's post

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This post was BOOKMARKED

himanshujovi wrote:

WoundedTiger wrote:

teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C

Shouldn't the possible range be from 25 to 34 and 65 to 74 because the moment the number becomes 35 , it will round up to 40

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70:

25 \leq x < 35. 65 \leq y < 75.

We can get x/y to be less than 1/2 as well as more than 1/2. Not sufficient.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65:

31.5\leq x < 32.5. 64.5 \leq y < 65.5.

We can get x/y to be less than 1/2 as well as more than 1/2. Not sufficient.

(1)+(2) 31.5\leq x < 32.5 and 65 \leq y < 65.5. The minimum value of y (65) is more than twice as large as the maximum value of x (<32.5). So, x/y < 1/2. Sufficient.