Tuesday, 22 November 2011

In clock at what time hour & minute hand coincide ?

AFTER HOW MANY MINUTES AFTER 'X' HRS WILL HOUR HAND AND MINUTE HAND COINCIDE.
X HRS ANGLE T MINS MIN SECONDS
1 30 5.454545 5 0.454545 27.273
2 60 10.90909 10 0.909091 54.545
3 90 16.36364 16 0.363636 21.818
4 120 21.81818 21 0.818182 49.091
5 150 27.27273 27 0.272727 16.364
6 180 32.72727 32 0.727273 43.636
7 210 38.18182 38 0.181818 10.909
8 240 43.63636 43 0.636364 38.182
9 270 49.09091 49 0.090909 5.4545 3
10 300 54.54545 54 0.545455 32.727
11 330 60 60 0 0
12 360 65.45455 65 0.454545 27.273 65 MINS i.e. AFTER 1 O' CLOCK
HOUR HAND'S SPEED = 30 DEG PER 60 MINS = 1/2 DEG PER MIN
MINUTE HAND'S SPEED = 360 DEG PER 60 MINS = 6 DEG PER MIN
TIME IN WATCH AFTER 5 O'CLOCK WHEN HOUR HAND & MINUTE HAND COINCIDE IS WHEN
LET IT HAPPEN AFTER 'T' MINS AFTER 5 O' CLOCK
HOUR HAND HAS TRAVELLED [(30X5) + T/2]
MINUTE HAND HAS TRAVELLED (5X360 + 6T)
WE CAN IGNORE '5X360' SINCE AFTER 5 ROTATIONS OF MINUTE HAND IT'S POSITION WILL REMAIN SAME; SO WE HAVE TO CONSIDER 
ONLY '6T' PART
150+T/2=6T
So, 150=5.5T
Therefore T= 150/5.5 MINS

Profit & Loss


PROFIT AND LOSS



P= PROFIT

L= LOSS

S / S.P. = SALE PRICE

C / C.P. = COST PRICE

X = %  (PERCENTAGE) OF PROFIT OR LOSS



S = P + C i.e. P = S – C or S = C + P

S = C – L i.e. L = C – S or S = C - L

S = (100+X) /100 x C



            OR



S.P. = (100+X) /100 x C.P.



IN CASE OF DEALS YIELDING PROFIT, X IS POSITIVE (+).



I.E. X +VE ßà PROFIT



IN CASE OF TRANSACTIONS GIVING RISE TO LOSS; X IS NEGATIVE (-)



I.E. X (-) VE ßà LOSS