1) 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 ?
2) "You see," said Mrs.Murphy,"Paddy is now one and one-third 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?
3) 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.
4) 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
5) 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
6) 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
7) 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
8) 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
9) 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
10) 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?
11) 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. Altogether he made a profit of five percent. How many did
each cow originally cost him?
12) Meera was playing with her brother using 55 blocks.She gets bored playing and starts
arranging the blocks such that the no. of blocks in each row is one less than that in the lower
row. Find how many were there in the bottom most row?
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