Bank of America

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# `Bank of America` `Software Developer` Interview Question

Part of a `Software Developer` Interview Review - one of `2,105` `Bank of America` Interview Reviews

`Bank of America`

Answers & Comments

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25

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of 27votes

30+25=55 angle between them...

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7

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of 14votes

Is it an analog or digital clock? And are they both on the same clock?

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6

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of 21votes

360/12=30

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2

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of 10votes

it is same as 01-10

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21

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of 23votes

Anonymous is on the right track with the hour hand going 0.5 degree/minute, but at 11:50 the hour hand is no longer near the 11, it's near the 12. 10 minutes before 12, it is 5 degrees from the 12. The minute hand is 60 degrees from the 12 in the same direction (360 deg=60 minutes, so 60 deg=10 minutes). Angle between the hands is the difference between these two: 60-5 = 55.

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11

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of 15votes

The answer is really 55 degrees.

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4

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of 11votes

5 degrees. At 11:50 the second hand is at 12, 0 degrees, and the hour hand is 5 degrees from 12, hence there are 5 degrees between them.

The question did not specify _which_ hands.

The question did not specify _which_ hands.

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25

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of 26votes

You know that there is 30 degrees between each number on the clock because 360/12 = 30. You know that the minute hand is at exactly 10, while you know that the hour hand is 5/6th of the way to the 12 (from the 11) because 50/60 = 5/6. Therefore to get the total angle, you must add the 30 degrees from the 10 to 11 plus the 5/6 distance from 11 to 12, and you get 30 degrees + (5/6 * 30) = 30 + 25 = 55 degrees. So the final answer is 55 degrees.

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10

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of 10votes

360 degrees in clock.

clock has 12 positions,

The hour hand is 5/6 way to position 12 (Hour hand travels between the hours!!!!)

and the minute hand is exactly on position 10.

so If between every position is 360/12 or 30 degrees.

then

the minute hand is 60 degrees from 12

and the hour hand is 1/6 of 30 from 12... or 5 degrees

Answer is 60-5= 55

clock has 12 positions,

The hour hand is 5/6 way to position 12 (Hour hand travels between the hours!!!!)

and the minute hand is exactly on position 10.

so If between every position is 360/12 or 30 degrees.

then

the minute hand is 60 degrees from 12

and the hour hand is 1/6 of 30 from 12... or 5 degrees

Answer is 60-5= 55

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1

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of 4votes

Imagine that this clock was drawn on a piece of paper. Take any of the one of two hands on the clock and draw a line from it so that the line is perpendicular to the other. This will create a right triangle. Take the inverse tangent of the height of the triangle (the line that you drew) over its length (the hand that is not the hypotenuse of the triangle) and this will give you a precise angle between the hands of the clock.

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2

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of 12votes

Definitely 30 degrees. A circle is 360 degrees and there are 60 minutes on a clock which is a perfect circle. The angle between the two hands in this case is obviously 5 minutes. So (360 deg./60 min.) * 5 min. = 30 degrees.

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9

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of 10votes

Here's a simple way to look at it. If the hour hand was exactly on 12 then the angle would be 60 degrees. However since the hour hand is just short (by 10 minutes) of the twelve, you need to subtract 10 minutes x .5 degrees per minute giving you 60 - (.5 x 10) or 60 - 5 = 55 degrees.

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3

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of 5votes

Using only a compass and a protractor, trisect an angle using a gemoetrically correct proof.

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0

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of 5votes

The hour hand would be pointing at 335 degrees and the minute hand 300 degrees; so 35 degrees.

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1

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of 3votes

But how do we know it is an acute angle vs. obstuse?

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1

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of 4votes

Anon..it doesn't matter. It can't be done.

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1

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of 1vote

http://en.wikipedia.org/wiki/Clock_angle_problem

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3

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of 4votes

Maybe if they asked their prospects "what is your understanding of due diligence" instead of asinine clock questions, they would be in far better shape today.

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1

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of 1vote

55 if the clock is Swiss.

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2

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of 6votes

I think most people are seriously complicating the question. 360/12 = 30. http://www.mathsisfun.com/activity/clocks-angles.html

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3

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of 3votes

the best answer is the ask the client if they are looking for the acute or reflex angle. This is a test to clarify with clients and not to assume anything. See the whole problem not just the simple answer.

Then you can get into your math.

Then you can get into your math.

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5

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of 5votes

55 or 305.

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1

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of 1vote

where in the room are these clock pointers positioned? (and do they actually just stay there and point at the clock all day?)

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2

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of 2votes

There are two angles formed. The interviewee should reply by asking the interviewer if he/she wants him/her to calculate the acute one or the obtuse one.

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3

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of 3votes

oops, points off for being a smart ass: I meant "reflex" angle. (more than 180 degrees) - "obtuse is more than 90...but they'd get the message: that the interviewee can see things in more than one way...

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2

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of 2votes

easy. 55 degrees.

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0

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of 2votes

Has to be 5 degrees. It cant be 55 degrees because if u think abt it, thats the angle made if one hand is on the 12 and the other between 10 and 11.

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0

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of 2votes

30

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1

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of 1vote

1. minute hand: 360 degrees, 60 minutes in one hour -> 6 degrees per minute for the minute hand

2. hour hand:1h for the hour hand is the same as 5 minutes for the minute hand -> one hour for the hour hand equals 30 degrees

3. 30 degrees for 60 minutes for the hour hand -> 0.5 degrees per minute for the hour hand

3. position of minute hand at 50min: 6*50=300 degrees

4. position of hour hand at 50min:330 (11hours)+50*0.5 (50 minutes)=355

5. angle between them is 55 degrees

2. hour hand:1h for the hour hand is the same as 5 minutes for the minute hand -> one hour for the hour hand equals 30 degrees

3. 30 degrees for 60 minutes for the hour hand -> 0.5 degrees per minute for the hour hand

3. position of minute hand at 50min: 6*50=300 degrees

4. position of hour hand at 50min:330 (11hours)+50*0.5 (50 minutes)=355

5. angle between them is 55 degrees

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0

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of 3votes

As simple as this:

360 degrees = 60 minutes

then the 10 minutes between 11:50 and 12:00 = 60 min/ 6 = 360 deg / 6 = 60

the correct answer is 60 degrees

360 degrees = 60 minutes

then the 10 minutes between 11:50 and 12:00 = 60 min/ 6 = 360 deg / 6 = 60

the correct answer is 60 degrees

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1

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of 4votes

what's wrong with you?

The answer is 30 or 25 degrees, depending if your clock point directly at 11 or is at 5/6 of the 11 position as is still 10 minutes to eleven o clock... why?

The difference between the 10 (that is 50min) and the 11 is 30 degrees, that is 360 /12.

If the hour tick is not still at eleven then you need to SUBSTRACT the difference, that is 5/6 of 30 degrees that is 5 degrees... result 25 degrees...

The answer is 30 or 25 degrees, depending if your clock point directly at 11 or is at 5/6 of the 11 position as is still 10 minutes to eleven o clock... why?

The difference between the 10 (that is 50min) and the 11 is 30 degrees, that is 360 /12.

If the hour tick is not still at eleven then you need to SUBSTRACT the difference, that is 5/6 of 30 degrees that is 5 degrees... result 25 degrees...

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1

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of 1vote

"What a messed up angle of those clock hands: I'm either really early for lunch, or need to be getting paid overtime to be here this late."

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0

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of 1vote

30

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0

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of 1vote

@gatecrasher: LMAO! How perfectly acerbic...can I come work for you?

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0

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of 1vote

30 degrees

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2

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of 2votes

The hour pointer moves 360º in 12 hours, that's 0,5 degrees per minute. The minute pointer moves 360º in 60 minutes, that's 0,1 degrees per second.

At 11:50, the hour pointer moved 710 minutes (11*60) + 50, so it's at 355º

At 11:50 the minute pointer moved 3000 seconds (50*60), so it's at 300º

The correct answer is 355-300 = 55º

At 11:50, the hour pointer moved 710 minutes (11*60) + 50, so it's at 355º

At 11:50 the minute pointer moved 3000 seconds (50*60), so it's at 300º

The correct answer is 355-300 = 55º

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1

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of 1vote

I know of the arms of a clock, but have never heard of clock pointers. I imagine a clock pointer is someone pointing at a clock when the time is 11:50. The angle between them would be relative to a reference point and distance. What are those parameters?

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2

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of 2votes

The answer is 55 degrees.

There are 30 degrees between each number on a clock. (360 / 12 = 30).

The answer isn't 30 degrees, because at 11:50, the hour hand will not be exactly on the 11 anymore. The only time the hour hand is exactly on the 11 is at 11:00. At 11:50, the minute hand is on the 10 and the hour hand is 5/6 of the way between the 11 and 12.

At 11:50, the minute hand is exactly on the 10 and the hour hand is 5/6 of the way between the 11 and 12. 5/6 of 30 degrees is 25.

So between numbers 10 and 11 is 30 degrees. Then add another 5/6 of 30 degrees for the distance between the 11 and where the hour hand is now.

So 30 + 25 = 55 degrees.

There are 30 degrees between each number on a clock. (360 / 12 = 30).

The answer isn't 30 degrees, because at 11:50, the hour hand will not be exactly on the 11 anymore. The only time the hour hand is exactly on the 11 is at 11:00. At 11:50, the minute hand is on the 10 and the hour hand is 5/6 of the way between the 11 and 12.

At 11:50, the minute hand is exactly on the 10 and the hour hand is 5/6 of the way between the 11 and 12. 5/6 of 30 degrees is 25.

So between numbers 10 and 11 is 30 degrees. Then add another 5/6 of 30 degrees for the distance between the 11 and where the hour hand is now.

So 30 + 25 = 55 degrees.

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0

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of 0votes

Where are the two clock pointers standing in relation to the position of the clock depicting 11:50? Also, don't they know it's rude to point.

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0

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of 1vote

The interviewer wants to know if the canidate has a strong analytical and scientific background.

There are many ways to answer the question correctly. However the best way is to give an answer to both the acute angle and the obtuse angle of the clock pointers. In this case it is 360 and 3240 arc seconds respectively. If the interviewer does not understand the answer you can convert the answer to different units and demonstrate you have what it takes to explain scientific concepts and ideas and are aware there is more than one solution to a problem.

The question made me smile as its a freshmen engineering question at my alma mater. Graduates of my school are expected to answer these questions on there feet during a job interview and these types of questions are practiced.

There are many ways to answer the question correctly. However the best way is to give an answer to both the acute angle and the obtuse angle of the clock pointers. In this case it is 360 and 3240 arc seconds respectively. If the interviewer does not understand the answer you can convert the answer to different units and demonstrate you have what it takes to explain scientific concepts and ideas and are aware there is more than one solution to a problem.

The question made me smile as its a freshmen engineering question at my alma mater. Graduates of my school are expected to answer these questions on there feet during a job interview and these types of questions are practiced.

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0

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of 0votes

Calculate the angle of two clock pointers when time is 11:50.

ok let’s look at the question it asks for the angle of both pointers it’s not asking what the angle is from or to each pointer so you need to have at least 2 answers one for pointer a and one for pointer b but as its given no start point to calculate from my answer would be to ask for the missing information the angle of pointer a from what and the angle of pointer b from answer

ok let’s look at the question it asks for the angle of both pointers it’s not asking what the angle is from or to each pointer so you need to have at least 2 answers one for pointer a and one for pointer b but as its given no start point to calculate from my answer would be to ask for the missing information the angle of pointer a from what and the angle of pointer b from answer

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0

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of 0votes

I'm surprised nobody did this in radians.

The distance between the 11 and 12 is 2Pi/12. As the minute hand moved to 11:50, the hour hand moved 10/12 of 2Pi/12.

2Pi/12 + 10/12*2Pi/12

= 2Pi/12 + 20Pi/144

= 24Pi/144 + 20Pi/144

= 11Pi/36

The distance between the 11 and 12 is 2Pi/12. As the minute hand moved to 11:50, the hour hand moved 10/12 of 2Pi/12.

2Pi/12 + 10/12*2Pi/12

= 2Pi/12 + 20Pi/144

= 24Pi/144 + 20Pi/144

= 11Pi/36

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0

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of 0votes

25 degrees

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0

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of 0votes

55 degrees

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0

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of 0votes

The Answer is 25 degrees. The degree between 11 Hour Point and 12 Hour point is 30 degree (360/12). Since the time is 11:50, the minute pointer has completed 5/6 of a full round (360). So the hour pointer would also have moved 5/6 of the distance bwtween 11 and 12 hours. Therefore 5/6 of 30 Degrees is 25 degrees.

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0

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of 0votes

Sorry, in my earlier calculation I missed out something. The Answer should be 30+25 = 55 degrees.

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0

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of 0votes

acute or reflex

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0

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of 0votes

depends upon the number of pointers your clock have....3 or 2 pointers

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0

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of 0votes

the answer is 54.

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0

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of 0votes

54= 30+24

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0

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of 0votes

Angle between each digits on a analog clock is 360/12 = 30degress.

At 11:50, Minute hand will be on digit 10, and Hour hand will somewhere between digit 11 and 12

Lets split the total angle into 2 parts - a)Angle between digit 10 and 11 b) Angle between digit 11 and hour hand.

a) Angle will be 30 degrees as angle between any 2 digits is 30degrees

b) For covering each minute hour hand moves by 1/60 X 30 degrees , ie .5degrees

So for 50 minutes, it covers .5X50 = 25 degrees. thats gives the angle between digit 11 and hour hand when the time is 11:50.

So total angle is 30+25 = 55 degrees

At 11:50, Minute hand will be on digit 10, and Hour hand will somewhere between digit 11 and 12

Lets split the total angle into 2 parts - a)Angle between digit 10 and 11 b) Angle between digit 11 and hour hand.

a) Angle will be 30 degrees as angle between any 2 digits is 30degrees

b) For covering each minute hour hand moves by 1/60 X 30 degrees , ie .5degrees

So for 50 minutes, it covers .5X50 = 25 degrees. thats gives the angle between digit 11 and hour hand when the time is 11:50.

So total angle is 30+25 = 55 degrees

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0

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of 0votes

50

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0

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of 0votes

ohhh 55

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0

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of 0votes

60 DEGREE...

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0

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of 0votes

55 or 305 degrees.

The main learning from this pool of answers is: ' there are always a huge huge number of fools'. Being a 5th std Qn this cud be answered without a single wrong answer.

The main learning from this pool of answers is: ' there are always a huge huge number of fools'. Being a 5th std Qn this cud be answered without a single wrong answer.

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0

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of 0votes

the angle of the 9 and the 12 of a clock is 90. 9 to 10 to 11 to 12 make up 3 equal segments 90/3=30 move one segment 90-30=60 BOOYAA!!!!!

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0

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of 0votes

60 degrees. The minute had is 60 degrees from 12, and the second hand is on 12. There are 3 pointers on an analog clock.

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of 0votes

There are 90 degrees between 9 and 12, the minute hand is on the 10 and the hour hand is 50/60 or 5/6 from the 11 to the 12. Between 10 and 11 there are (90 * 1/3) = 30 degrees. To this you have to add 5/6 of the degrees between 11 and 12 or (90 * 1/3 * 5/6) = 25. Therefore the answer is 30 + 25 = 55 degrees.

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0

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of 0votes

And then, Alex is right, is 55 degrees

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of 0votes

I can only calculate time not it's angles

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votes

hour hand is 0.5 deg per min and minute hand is 5deg per minute....

so minute hand is 30 deg away from 11. while hour is 2.5 degrees away fro 11.

30-2.5 = angle between them...

Feb 22, 2012