viny wrote:If 0 represents the center of a circular clock and the point of the clock hand is on the
circumference of the circle, does the shaded sector of the clock represent more than
10 minutes?
(1) The clock hand has a length of 10.
(2) The area of the sector is more than 167T.

figure : a circle with some shaded area :shading is approximate

Hmm, very confusing question for 2 main reasons.
- We can't tell what the shaded sector looks like.
- What does the T stand for in statement 2?
Can you supply a screenshot of the given diagram?

I might also mention that we can measure angles in "minutes" (1 minute = 1/60 of a degree).
So, this wording alone makes the question un-GMAT-worthy.

Cheers,
Brent

viny wrote:If 0 represents the center of a circular clock and the point of the clock hand is on the
circumference of the circle, does the shaded sector of the clock represent more than
10 minutes?
(1) The clock hand has a length of 10.
(2) The area of the sector is more than 16PI.

figure : a circle with some shaded area :shading is approximate

my solution :

360->60 min
x degree->10 min
x=60 degree
therefore for shaded area to be more than 10 min the central angle must be >60

now A gives us radius which inturn gives area ie 100pi

now B gives sector area ie 16pi

so now i can say 360 degree->100 pi
x degree--->16 pi
now this gives me 57.something which is <60 and not >60 so i am concluding shaded area is < than 10 min
what is wrong in this answer is E y cant it be C !!
THANKS

Is the clock hand supposed to be an hour hand or a minute hand?

What's the source of this question?

Cheers,
Brent

viny wrote:
If 0 represents the center of a circular clock and the point of the clock hand is on the circumference of the circle, does the shaded sector of the clock represent more than 10 minutes?

(1) The clock hand has a length of 10.
(2) The area of the sector is more than 16PI.

Target question: Does the shaded sector of the clock represent more than 10 minutes?
If the clock hand is the minute hand, then 60 minutes = 360 degrees
This means that 10 minutes = 60 degrees.
So, let's rephrase the target question. . .

Rephrased target question: Is x greater than 60 degrees?

Statement 1: The clock hand has a length of 10.0
This tells us nothing about whether or not x is greater than 60 degrees
Since we cannot answer the rephrased target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The area of the sector is more than 16PI.
This tells us nothing about whether or not x is greater than 60 degrees
Since we cannot answer the rephrased target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
First of all, sector area = (x/360)(pi)(radius)²
Statement 1 tells us that the radius = 10
Statement 2 tells us that the sector area > 16(pi)

Plug this info into our formula to get: (x/360)(pi)(10)² > 16(pi)
Simplify: (x/360)(pi)(100) > 16(pi)
Divide both sides by pi: (x/360)(100) > 16
Divide both sides by 100: (x/360) > 4/25
Multiply both sides by 360: x > (4/25)(360)

IMPORTANT: We really don't want to evaluate (4/25)(360). Fortunately, we don't need to.
Notice that 4/25 is LESS THAN 1/6
So, (4/25)(360) must be LESS THAN 1/6 of 360
In other words, (4/25)(360) = some number that's LESS THAN 60

So, the combined statements tell us that x > (some number less than 60)
This means that x might be greater than 60, or x might be less than 60
Since we cannot answer the rephrased target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent