# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 10)

10.

At 3:40, the hour hand and the minute hand of a clock form an angle of:

Answer: Option

Explanation:

Angle traced by hour hand in 12 hrs. = 360°.

Angle traced by it in | 11 | hrs = | 360 | x | 11 | ° | = 110°. | ||

3 | 12 | 3 |

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min. = | 360 | x 40 | ° | = 240°. | ||

60 |

Required angle (240 - 110)° = 130°.

Discussion:

43 comments Page 1 of 5.
Khem Raj said:
1 decade ago

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Abi said:
1 decade ago

Actually why they put 11/3hrs here ..can anyone clear my doubt

Palanivel said:
1 decade ago

For hour hand.

Convert min into hr keep 3 without change 3+(40/60)=11/3.

Convert min into hr keep 3 without change 3+(40/60)=11/3.

Shree said:
1 decade ago

Here we can use the formula:

theta(degree)=11(m)/2-30h

min(m)=40; hour(h)=3

theta=11(40)/2-30(3)

=130 degree

theta(degree)=11(m)/2-30h

min(m)=40; hour(h)=3

theta=11(40)/2-30(3)

=130 degree

Sri said:
1 decade ago

Even I have the sme doubt as Abi. I dint get how they took 11/3. Pls, pls, please any solve my problem.

Lalitha said:
1 decade ago

I also didn't understand how they have taken 11/3 hrs, and I could not understand how the hours hand angle has been traced.

Sushil said:
1 decade ago

Convert the whole time in hour.

3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.

3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.

Shoaib said:
1 decade ago

Sushil can you please explain it little bit more. Thanks.

Ajay Lakum said:
1 decade ago

Simple total min 3*60=180+40

220/60

22/6

11/3

This for hrs. so

360/12*11/3

30*11/3

= 110 ok (1)

now

for min.

360/60*40

60*40

= 240 (2)

now

(2-1)

240-110

ans. 130

220/60

22/6

11/3

This for hrs. so

360/12*11/3

30*11/3

= 110 ok (1)

now

for min.

360/60*40

60*40

= 240 (2)

now

(2-1)

240-110

ans. 130

Venki said:
1 decade ago

First consider for hours hand.

1hr of hand movement = 30 degrees.

Next for min hand.

5 min of min hand = 30 degrees.

Hence for angle between them subtract the total angle made by them.

1hr of hand movement = 30 degrees.

Next for min hand.

5 min of min hand = 30 degrees.

Hence for angle between them subtract the total angle made by them.

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