If I walk 26 steps 1 require 30 seconds……If I walk 34 steps I require only 18 seconds…..Multiplying   30 by 34 and 26 by 18 we get 1020 and 468.************ The difference between 1020 and 468 is 552. When we divide this number by the difference between 30 and 18, i.e. by 12 we get the answer the number of steps in the stairway are 46.

The number of saucers that can be placed on the table are 187

My aunts share was Rs. 49200-10/13

At each station passengers can get tickets for any of the other 24 stations and,therefore,the number of tickets required is 25 x 24 – 600.

The couple arrived home 10 minutes earlier than usual. Therefore,the point at which they met must have been 5 minutes driving time from the station. Thus,the wife should have been at that point at five minutes to six. Since the man started to walk at five O clock, he must have been walking for 55 minutes when he met his wife.

There is no  mystery, because the explanation is simple. While the two ways of selling are only identical, when the number of marbles sold at three for a paisa and two for a paisa is in the proportion of three to two. Therefore, if the first woman had handed over 36 marbles and the second woman 24, they would have fetched 24 paise, immaterial of, whether sold separately or at five for 2 paise. But if they had the same number of marbles which led to loss of 1 paisa when sold together, in every 60 marbles.So, if they had 60 each, there would be a loss of 2 paise and if there were 90 each, (180 altogether), they would lose 3 paise and so on…… In the case of 60, the missing 1 paisa arises from the fact that the 3 marbles per paisa woman gains 2 paise and the 2 marbles per paisa woman loses 3 paise……The first woman receives 9-1/2 paise and the second woman 14-1/2,so that each loses l/2 paise in the transaction.

I do not know about you, but I would have handed over 5 two paise stamps, 30 one paisa stamps and 7 five paise stamps.

You can figure out that for any given door, say door #42, you will visit it
for every divisor it has. so 42 has 1 & 42, 2 & 21, 3 & 14, 6 &7. so on pass 1 i will
open the door, pass 2 i will close it, pass 3 open, pass 6 close, pass 7 open,
pass 14 close, pass 21 open, pass 42 close. for every pair of divisors the door
will just end up back in its initial state. so you might think that every door will end
up closed? well what about door #9. 9 has the divisors 1 & 9, 3& 3. but 3 is
repeated because 9 is a perfect square, so you will only visit door #9, on pass 1,
3, and 9… leaving it open at the end. only perfect square doors will be open at
the end.

Burn one candle , it will be finished completely in 30 minutes.Just when it is finished lit the other candle from both sides it will get finished in 15 minutes(30/2). So the total time is 30+15=45.

You just have to think about various way by which you can maximize the probability of picking a red marble is maximised. Here’s one way :
Put single red marble in Jar B and all other marbles in Jar A.
so the probability of selecting a red marble is now :
P(red) = P( Jar1 ) * P( red Jar1 ) + P( Jar2 ) * P( red Jar2 )
P(red) = 0.5 * 1 + 0.5 * 49/99
P(red) = 0.7474