1. From a vessel on the first day,
1/3rd of the liquid evaporates. On the second day
3/4th of the remaining liquid evaporates. What
fraction of the volume is present at the end of the
second day?
2. An orange glass has orange juice
and white glass has apple juice. Both are of equal
volume. 50 ml of the orange juice is taken and poured
into the apple juice. 50 ml from the white glass is
poured into the orange glass. Of the two quantities,
the amount of apple juice in the orange glass and the
amount of orange juice in the white glass, which one
is greater and by how much?
3. There is a 4 inch cube painted
on all sides. This is cut into number of 1 inch cubes.
What is the number of cubes which have no painted
sides?
4. Sam and Mala have a
conversation. Sam says I am certainly not over 40.
Mala says I am 38 and you are atleast 5 years older
than me. Now Sam says you are atleast 39. All the
statements by the two are false. How old are they
realy?
5. Ram singh goes to his office in
the city every day from his suburban house. His driver
Mangaram drops him at the railway station in the
morning and picks him up in the evening. Every evening
Ram singh reaches the station at 5 o'clock. Mangaram
also reaches at the same time. One day Ram singh
started early from his office and came to the station
at 4 o'clock. Not wanting to wait for the car he
starts walking home. Mangaram starts at normal time,
picks him up on the way and takes him back house, half
an hour early. How much time did Ram singh walked?
6. In a railway station, there are
two trains going. One in the harbour line and one in
the main line, each having a frequency of 10 minutes.
The main line service starts at 5 o'clock. The harbour
line starts at 5.02 AM. A man goes to the station
every day to catch the first train. What is the
probability of man catchinhg the first train?
7. Some people went for vaction.
Unfortunately it rained for 13 days when they were
there. But whenever it rained in the morning, they had
clean afternood and vice versa. In all they enjoyed 11
morning and 12 afternoons. How many days did they stay
there totally?
8. Escalator Problem
Repeat.
9. A survey was taken among 100
people to find their preference of watching TV
programmes. There are 3 channels. Given no of people
who watch at least channel 1, at least channel 2, at
least channel 3, no channels at all, at least channels
1 and 3, at least channels 1 and 2, at least channels
2 and 3. Find the no of people who watched all three?
10. Albert and Fernandes have
two-leg swimming race. Both start from opposite end of
the pool. On the first leg, the boys pass each other
at 18 mt from the deep end of the pool. During the
second leg they pass at 10 mt from the shallow end of
the pool. Both go at constant speed. But one of them
is faster. Each boy rests for 4 sec to see at the end
of the first leg. What is the length of the pool?
11. T H I S
Each alphabet stands for one I S digit, what is the
maximum value of T?