## quant doubts from CL

Please give me the solution of following questions? 2. The smallest positive integer X with 24 divisors is a. 480 b. 420 c. 864 d. None of these 3. 5 coins are tossed. If two of them show heads, then the probability that all 5 coins show head is a. 1/32 b. 1/10 c. 1/26 d. 1/13

## i have good reason to

i have good reason to believe the answer is 1/26 lets see how: 1/32 is the probability of getting all five heads when there are nor restrictions on the sample space, meaning its the worst probability!!! getting 2 heads for given can only improve this probability. but how much ? that is the question. The answer is pretty simple as ican see. the number of ways of getting all 5 heads is always 1 no matter how many heads are given, which in this case is two. the number of ways of getting at least 2 heads = total number of ways - ways to get exactly 0 heads - ways to get exactly 1 head = 32 - 1 - 5 = 26 hence the answer 1/26

## Here it goes

Q1. Please chk the questions - is it correct? Q2. a. 480 = 24 x 3 x 5 So number of divisors = (5) x (2) x (2) = 20 b. 420 = 22 x 3 x 5 x 7 So number of divisors = (3) x (2) x (2) x (2) = 24 Ans: b Q3. I think all the events are independent Each coin ‘ll be head/tail irrespective of others So the probability of each event is1/2 Now the probability of 3 independents events to occur shd be 1/2 x 1/2 x 1/2 = 1/8 But its not in the option –:((

## ambiguous...

yepss....for ques no3 .....i also found da sme ansr...bt its nt in da option...if its real tym cat i wud hv gone for 1/32... plz lemme noe..if nebuddy finds da correct ansr.. THANX..

## ritee,,

questn no 2 z CMPLETELY RIGHT....!!!! gud wrk...

## Why so ? Why 32When 2 heads

Why so ? Why 32 When 2 heads are confirm the sample space has only 8 values. So there is no question of 32 being in denominator But I must be missing something :-(

## yeps buddy...u r absolutely

yeps buddy...u r absolutely rite...bt v nt hving 8 in da options...da only othr way I can tke da questn iz takin 5 heads..so v'l b gettin..1/2^5=1/32... bt um sure...dat may b somethn z hidden in dis questn...

## Great rajorshi !!!

Great rajorshi !!! and really thanks I was screwing my mind for the whole day and also discussed it with the faculties of ....(well! i cant reveal anything more)

## wat the ......... your

wat the ......... your faculty ?