PAPER 113

1.marks 4
Jim,Bud and sam were rounded up by the police yesterday. because one
of them was
suspected of having robbed the local bank. The three suspects made
the following statements
under intensive questioning.

Jim: I'm innocent
Bud: I'm innocent
Sam: Bud is the guilty one.
If only one of the statements turned out to be true, who robbed the
bank?



2) Marks :4

There are two containers on a table. A and B . A is half full of
wine, while B, which is twice A's size,
is onequarter full of wine . Both containers are filled with water
and the contents are poured into a
third container C. What portion of container C's mixture is wine ?

3) marks 5
A wall clock loses 10 minutes every 1 hour. In 1 hour by the wall
clock , a table clock gets 10 minutes
ahead of it. In 1 hour by the table clock an alarm clock falls 5
minutes behind it. In 1 hour of the alarm
clock, a wristwatch gets 5 minutes ahead it. At noon, all 4
timepieces were set correctly. To the nearest
minutes, what time will the wrist show when the correct time is 6
p.m. on the same day ?

4) marks :5
"You see," said Mrs.Murphy,"Paddy is now one and onethird times as
old as he was when he took to
drink, and little Jimmy, who was forty months old when paddy took to
drink is now two years more than half as old as I was when Paddy took
to drink , so when little Jimmy is as old as Paddy was when he took
to drink.our three ages combined will amount to just one hundred
years"
How old is little Jimmy?


5)marks 8
Both the Allens and the Smiths have two young sons under eleven. The
name of the boys whose ages rounded off to the nearest year are all
different are Arthur, Bert, Carl and David . Taking the ages of the
boys only to the
nearest year , the following staements are true

* Arthur is three years younger than his brother
* Bert is the oldest
* Carl is half as old as one of the allen boys
* David is five years older than the younger smith boy
* the total ages of the boys in each family differ by the same amount
today as they did five years ago

How old is each boy and what is each boys family name.

6) marks 6
In a certain organization there are either men eligible to serve on a
eligible to serve on a newly established commitee of four. The
selection of the members is not an easy matter , however for there
are jealousies and attachements among the candidates which prevents a
free choice of four committeemen, if you were the president of the
organization could you select a committee of four satisfying all
these whims?

* Ames will serve with anybody
* Brown won't serve unless Clayton serves
* Clayton wont serve with Evans
* Davis wont serve without hughes
* evans will serve with anybody
* French wont serve with Davis unless Grant serves too, and wont
serve with Clayton unless Davis also
serves
* Grant wont serve with both Brown and Clayton and wont serve with
either Ames or Evens
* Hughes wont serve unless either Brown or French serves and wont
serve with Clayton unless Grant serves too and wont serve with both
Ames and Evans


7) marks 8
An artist has exactly seven paintings ,T,U,V,W,X,Y, and Z from
which she must choose exactly five to be in an exhibit. Any
combination is acceptable provided it meets the following conditions:

* If T is chosen , X cannot be chosen
* If U is chosen , Y must also be chosen
* If V is chosen , X must also be chosen

1) Which one of hte following is an aceptable combination of
paintings for inclusion in the exhibit?

A. T,U,V,X,Y
B. T,U,V,Y,Z
C. T,W,X,Y,Z
D. U,V,W,Y,Z
E. U,V,W,Z,Y

2) If painting T is chosen to be among the paintings included int he
exhibit which one of the following cannot be chosen to be among the
paintings included in the exhibit?

A. U
B. V
C. W
D. Y
E. Z

3)Which one of the following substitutions can the artist always make
without violating restrictions affecting the combination of paintings
given that the painting mentioned first was not, and the painting
mentioned first was not, and the painting mentioned second was,
originally going to be chosen ?

A. T replaces V
B. U replaces Y
C. V replaces X
D. W replaces Y
E. Z replaces W

4) If the artist chooses painting V to be included among the
paintings in the exhibit, which one of the following must be true of
that combination of paintings?

A. T is not chosen
B. Y is not chosen
C. U is chosen
D. W is chosen
E. Z is chosen

8) marks :6
Yesterday my mother asked me to buy some stamps. Stamps are available
in 2 paise,7paise,10paise,15paise and 20paise denominations. For
three types of stamps I was asked to buy five of each. For the other
two types of stamps. I was asked to buy six of each. Unfortunately I
forgot which I was supposed to buy five of and which to buy six of .
Luckly my mother had given me the exact money required to buy the
stamps , Rs. 3.00 and the shopkeeper was able to give me the correct
stamps. Which stamps did I buy?

9)marks :4
Farmer jones sold a pair of cows for Rs. 210 , On one he made a
profit of ten percent and on the other he lost ten percent.
Althougher he made a profit of five percent. How many did each cow
originally cost him?