Time

This topic has expert replies
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 am
Location: New Delhi, India
Thanked: 130 times
Followed by:9 members
GMAT Score:720

by rijul007 » Mon Nov 07, 2011 7:59 pm
1 min = 6 degrees

6 degrees moved by minutes hand => 6/12 degree moved by hours hand
Lets say minute and hour hands form a rigt angle x mins after 2 o'clock

6x - [6*10 + x/2] = 90
11x/2 -60 = 90
11x/2 = 150
x = 150*2/11 =27.27

The two hands will be perpendicular 27.3 mins after 2 o'clock

Master | Next Rank: 500 Posts
Posts: 385
Joined: Fri Sep 23, 2011 9:02 pm
Thanked: 62 times
Followed by:6 members

by user123321 » Mon Nov 07, 2011 8:25 pm
silverflamein wrote:At what time after 2 o'clock, the hour hand and the minute hand of a clock form a right angle ???
hours hand makes 30 degrees for each hour on a clock = 360/12
minutes hand makes 6 degrees for each minute on a clock = 360/60

lets say after x minutes after 2 clock there was a 90 degrees difference between two hands.
then
6x - (2+x/60)30 = 90
11x/2 = 150
x = 300/11 = 27 3/11
Just started my preparation :D
Want to do it right the first time.

Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

by GmatKiss » Mon Nov 07, 2011 10:58 pm
silverflamein wrote:At what time after 2 o'clock, the hour hand and the minute hand of a clock form a right angle ???
This is no way a GMAT Q. also always provide choices for the Q

Legendary Member
Posts: 608
Joined: Sun Jun 19, 2011 11:16 am
Thanked: 37 times
Followed by:8 members

by saketk » Tue Nov 08, 2011 6:12 am
I agree with GMATKISS on this part. This is surely not a GMAT question not just because the options are not posted but also because this question is incomplete.

Hours and minute hand make right angle many times after 2'o clock.
The question should mention something like - rightangle for the first time, second time or the Nth time.

To original poster - please cite the source of this question.

Junior | Next Rank: 30 Posts
Posts: 23
Joined: Wed Oct 19, 2011 7:12 pm

by silverflamein » Tue Nov 08, 2011 5:47 pm
Hey Saketk & GMATkiss, I'm sorry for not getting the options as the question i posted originally from a prep book of IMS did not have any. And since i could not solve it myself i posted it online for someone to help me. I have just started preparing myself and do not have any coach or guidance except for the material that i bought from IMS. So i keep posting sums that i find difficult to solve myself.
Hope you can understand and bear with me.

Also these questions may not be GMAT questions but i am not the judge so i thank you for helping me