Tuesday, May 29, 2007

Puzzle 4



Q. Replace each letter by a digit. Each letter must be represented by the same digit and no beginning letter of a word can be 0.

O N E

O N E

O N E

O N E

-------

T E N

Ans: 0 =1, N = 8 ,E = 2, T = 7


Q.Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order.Dave just told the biologist that Cathy was on her way with doughnuts. Ann is sitting across from the doctor and next to the chemist.The doctor was thinking that Boobie was a goofy name for parent's to choose,but didn't say anything.What is each person's occupation?


Ans: Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor, Cathy must be the author and Ann the biologist.

The doctor didn't speak, but David did, so Bobbie is the doctor and Dave the chemist.



Q.Sometime after 10:00 PM a murder took place. A witness claimed that the clock must have stopped at the time of the shooting. It was later found that the postion of both the hands were the same but their positions had interchanged. Tell the time of the shooting (both actual and claimed).

Ans: Time of shooting = 11:54 PM

Claimed Time = 10:59 PM


Q. Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?

Ans: 224.


Sol. No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 ,32 , 64 converted to numbers in base 5



Q. Shahrukh speaks truth only in the morning and lies in the afternoon, where as Salman speaks truth only in the afternoon. A says that B is Shahrukh. Is it morning or afternoon and who is A -
Shahrukh or Salman.


Ans: Afternoon ; A is Salman.


Q.Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How nuch faster is one train from other?

Ans: Twice


Q.There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ).

Give the position after the following changes were noticed.

All books have been changed

Vol.5 was directly to the right of Vol.2

Vol.4 has Vol.6 to its left and both weren't at Vol.3's place

Vol.1 has Vol.3 on right and Vol.5 on left

An even numbered volume is at Vol.5's place

Find the order in which the books are kept now.

Q. A chain is broken into three pieces of equal lenths containing 3 links each.It is taken to a backsmith to join into a single continuous one .How many links are to to be opened to make it ?

Ans : 2.


Q.Grass in lawn grows equally thick and in a uniform rate.It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.

How many cows are needed to eat the grass in 96 days.?

Ans : 20

Sol.

g - grass at the beginning

r - rate at which grass grows, per day

y - rate at which one cow eats grass, per day

n - no of cows to eat the grass in 96 days

g + 24*r = 70 * 24 * y

g + 60*r = 30 * 60 * y

g + 96*r = n * 96 * y

Solving, n = 20.


Q. From a vessel, 1/3rd of the liquid evaporates on the first day. 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.

Ans: 50%

Q. An orange glass has orange juice and white glass has apple juice both of equal volumes.50ml of the orange juice is taken and poured into the apple juice.50ml 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?

Ans: The two quantities are equal


Q.There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes. What is the no of cubes which have no pointed sides.

Ans: 8

Q. 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 really?

Ans: Mala = 38 yrs

Sam = 41 yrs.


Q. Ram Singh goes to his office in the city, every day from his suburban house. His driver Gangaram 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. Gangaram 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 walk?



Q. 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 and the harbour line starts at 5.02A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?

Ans: 0.8


Q.A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?


Ans: 18

No comments: