The figure above, which is divided into 6 sectors of equal area, conta

Question

https://gmatclub.com/forum/download/file.php?id=47601 The figure above, which is divided into 6 sectors of equal area, contains an arrow representing a spinner. If the spinner is rotated 3,840 degrees in a clockwise direction from the position shown, which of the following indicates the sector to which the arrow on the spinner will point? https://gmatclub.com/forum/download/file.php?id=47602 PS85602.01 Quantitative Review 2020 NEW QUESTION 2019-04-26_1750.png 2019-04-26_1750_001.png

DisciplinedPrep · Accepted Answer

The arrow spinner travels 360 degrees for every complete revolution. 
In 10 revolutions, the arrow spinner completes 360 x 10 = 3600 degrees. 
The remaining 240 degrees is left. Also, note that each of the sectors holds 60 degrees. 
240 = 60 x 4. Therefore, the arrow spinner travels exactly 4 sectors from its current position. 
That is, the arrow spinner reaches the midway of the sector containing the square.

lifeforhuskar · Answer

I marked D, thinking that we are rotating the disk, not the arrow. These questions are sometimes so hard to read.

'Arrow representing as spinner', I guess I missed this

EgmatQuantExpert · Answer

Solution 
  Given  
In this question, we are given
 • The figure of a circle, divided into 6 sectors of equal area, contains an arrow representing a spinner.
• The spinner is rotated 3840 degrees in a clockwise direction from the position shown.

To Find  
We need to determine
 • Which of the given diagrams indicates the sector to which the arrow on the spinner will point.

Approach & Working  
We know that for a complete revolution of 360 degrees, the pointer will return at the starting point.
 • 3840 = 360 * 10 + 240
• Hence, after completing 10 complete revolutions, the pointer will move for another 240 degrees clockwise.

As the circular region is divided into 6 regions of equal area, each region is equivalent to 60 degrees.
Therefore, to make a movement of 240 degrees, the pointer will shift 4 more regions, and end up showing at the square.

Hence, the correct answer is option B.

https://e-gmat.com/blogs/wp-content/uploads/2016/12/Geometry-Ability-Quiz-4-e1480581478957.png

ScottTargetTestPrep · Answer

Each sector of the circle is made up of 360/6 = 60 degrees.

The spinner spins 3,840/360 = 10 240/360 = 10 ⅔ rotations. For the 10 full rotations, the spinner lands where it is shown. For the extra ⅔ rotation, or 240 degrees, the spinner rotates 4 more sectors clockwise; thus, it will land on the sector containing the square.

Answer: B

Xuchen · Answer

I also got D. The spinner is clockwise, not the arrow.

Starfruit · Answer

I choose D as the spinner rotates clockwise for 240 degrees. Please help explain where I got this wrong.

TheNightKing · Answer

3600 can be neglected out of 3840 because that will bring the arrow back to it's original place.

So we need to worry about remaining 240 degrees.

Since 6 sectors of 60 degree each, we need to shift 4 sectors. And that means it will point to square shape

Gaurav25993 · Answer

The answer should be D and not B.. can you please clairfy..

chetan2u · Answer

All those going for D are going wrong in understanding what is spinning. 
3600 gone and the figure and spinner will be as it is shown. 
Now remaining 240.
If you rotate the spinner, that is the arrow, as it is given , the arrow will move 4 steps clockwise and would stop on squareand B will be correct. 
However if you rotate the figure or the board , the trapezium or D will be the answer.

But here the spinner is given as arrow so B

Gaurav25993 · Answer

The arrow is spinning and not the circular board.. that was the catch ... understood.. Thanks for clarifying

SandeepS030489 · Answer

Degree of rotation = 3840
360 degree is full round circle and will bring back the arrow to the place from where it started.
So 360*10 = 3600 degrees of spin will land the arrow to the place from where it started.
Balance spin = 3840 - 3600 = 240 degrees
Since the six sector are equally divided, each sector will hold 360/6 = 60 degree angle
movement from starting place = Balance spin degree/angle each sector hold
= 240/60 = 4 sector movement, which is a square
Answer B

SohGMAT2020 · Answer

Here each sector represents 60 degrees.

So dividing the total angle (3840) by 60 will give us the number of times the arrow crossed each sector.

Therefore, 3840/60 = 64 times the arrow crossed the sectors.

Now, since there are 6 sectors, after crossing 6 times the arrow will return to its original position. So the remainder obtained by dividing 64/6 will give the number of sectors the arrow effectively moved. Here, the remainder obtained is 4, so the arrow moved 4 sectors, hence B is the correct answer

dave13 · Answer

3840/6 = 640 total number of times arrow goes through all sections 3840/60 = 64 total number of repetitions for each section 640/64 = count 10 from triangle and get B

VeritasKarishma do you think my reasoning is correct

KarishmaB · Answer

3840 is the degrees of rotation. After every 360 degrees of rotation, the arrow comes back to its initial position. 
3840/360 gives remainder 240. 
This means the arrow will makes full circles and then move another 240 degrees. Since the circle is divided into 6 parts, each part is 360/6 = 60 degrees.

To move 240 degrees, it will cover 4 parts and arrive at (B).

Answer (B)

I am not sure of your logic. 3840/6 is not the number of times it goes through all sections. 3840 is the number degrees it is turned.

Basshead · Answer

The figure above, which is divided into 6 sectors of equal area, contains an arrow representing a spinner. If the spinner is rotated 3,840 degrees in a clockwise direction from the position shown, which of the following indicates the sector to which the arrow on the spinner will point?

PS85602.01
Quantitative Review 2020 NEW QUESTION

Show Spoiler

Attachment:

2019-04-26_1750.png

Attachment:

2019-04-26_1750_001.png

3,840 degrees / 360 = remainder of 240

If we go clockwise 240 degrees we will end up with the square. As a reminder, 90 degrees will be 1/4 of the circle; 270 degrees will be right between the square and hexagon. SUFFICIENT.

MHIKER · Answer

The whole circle is 360 degree, which is dived into 6 equal parts  = \frac{360}{6}=60

\frac{3840}{60}=64

\frac{64}{60}=4  The remainder.

The arrow will stop at  4^(th)  position.

The Answer is B

Alisha2006 · Answer

First calculate full 360 rotation, you can find number of rotations for clarity, so after 10 rotations, 3600 degrees are completed. 240 degrees are still left to rotate. After 60 degrees, pointer points triangle, after 120 degrees, pointer points trapezium, after 180 degrees pointer points circle and after 240 degrees pointer points square, so square is the answer. Spinner here represents the arrow and not the circular disk

MKaizer123 · Answer

Haha! same mistake, man!

MKaizer123 · Answer

The circle is divided into 6 sectors of each (360/6=) 60 degrees so (3840/60=) 64 sectors would turn before the spinning comes to a halt. Now, dividing 64 by 6 gives us 10 complete revolutions of the circle with 4 extra sectors to turn. My brain showed me this approach for some bizarre reason. Is this approach correct?

The figure above, which is divided into 6 sectors of equal area, conta

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