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

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Math Expert
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The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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26 Apr 2019, 06:51
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63% (01:35) correct 37% (01:46) wrong based on 581 sessions

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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?

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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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26 Apr 2019, 14:43
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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.

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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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27 Jun 2019, 18:55
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Bunuel wrote:

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

Attachment:
2019-04-26_1750.png

Attachment:
2019-04-26_1750_001.png

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.

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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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23 May 2019, 06:11
1

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.

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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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24 Jun 2019, 08:08
1
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
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The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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23 Aug 2019, 17:14
1
I also got D. The spinner is clockwise, not the arrow.
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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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27 Nov 2019, 04:44
1
Bunuel wrote:

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

Attachment:
2019-04-26_1750.png

Attachment:
2019-04-26_1750_001.png

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
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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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23 Aug 2019, 20:43
I choose D as the spinner rotates clockwise for 240 degrees. Please help explain where I got this wrong.
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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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07 Nov 2019, 17:49
Bunuel wrote:

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

Attachment:
2019-04-26_1750.png

Attachment:
2019-04-26_1750_001.png

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
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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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27 Nov 2019, 04:29
The answer should be D and not B.. can you please clairfy..
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Re: The figure above, which is divided into 6 sectors of equal area, conta  [#permalink]

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27 Nov 2019, 11:29
The arrow is spinning and not the circular board.. that was the catch ... understood.. Thanks for clarifying
Re: The figure above, which is divided into 6 sectors of equal area, conta   [#permalink] 27 Nov 2019, 11:29
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