1. A man sold two cows for Rs 210. If he made a 10% loss on one cow and 10%
profit on the other
cow, and overall made a profit of 5%, how much was each cow worth initially?
ans:
let the original price be x and y ;
x+y=100(210)/105 => x+y=100*210/105
//5% profit
90/100(x)+110/100(y)=210=> .9x+1.1y=210
solve above equations for x and y
*****************************************************************************
2.A box contains white socks and black socks. you have to pull them out
blindfolded, and you know
the number of socks you have to pull out to definitely draw a pair is the same
as the number of socks
you have to pull out to definitely have different kinds of socks, and there is
no difference between left
foot and right foot socks, how many socks are there in the box.
Ans: 4 (QUESTION IS NOT CLEAR)
*****************************************************************************
3. A husband's watch runs 1 min fast every hour, while his wife's runs 2 minutes
slow. How many
hours have past, after they set their watches to the same time, if the
difference in time between the
watches is 1 hour?
Ans: 20 hours.
diff btwn my watch and hub= 2-(-1)=3
3 mts diff for 1hr
60 mts diff is (60*1)/3
*****************************************************************************
4. A farmer tells his wife " If we sell 75 of our chickens, we shall have enough
stock for 20 more
days." Then he says " if we buy 100 more chickens, we shall run out of our stock
in 15 days". How
many chickens do they have?
sol: let x be the no of chickens…
(x-75) chickens 20 days;
(x+100) chickens 15 days;
(x-75)*20=(x+100)*15;
5x=3000;
x=600;
*****************************************************************************
5. A ,B ,c are friends they went by cycle and weared a hat.
each one weared a hat of one friends and ride the bicycle of another friend.
A is wearing C's hat find who is riding a's cycle.
ans: C
Sol: if A is wearing c's hat then it will be riding b's cycle.
if so B will be wearing A's hat no other way since A's wearing c's hat
and riding c's cycle. then remaining c will be wearing b's hat and riding A's
cycle
*****************************************************************************
6. While traveling from one station to the next, after 1 hour a piston burst. As
a result the party could
only proceed at 3/5 their original speed and arrived 1 hour late. If however the
accident had
happened 50 minutes later, they would have arrived 40 minutes earlier than the
time they did arrive
at. What is the distance between the stations?
sol: left for u….
*****************************************************************************
7. Find the next number in the series :
a) 364, 361, 19, 16, 4, 1, ___
Ans : 1 ( series x-3, y = sqrt(x-3), y-3 ….)
b) 3, 6, 13, 26, 33, 66, ___
Ans : 63 (Alternate additions of multiples of 10 and 20)
also 66+7 ( x,2x,2x+7….)
*****************************************************************************
8. Four friends Stacy, Erica, Robin and Mandy, belonging to the families Clark,
Flure, Miller and
Jacob decide to make fruit salads. Each person uses three fruits from among
apples, bananas,
cherries and grapes. The following conditions are given below:
i) Each girl uses a different combination of fruit from the others
ii) Erica does not belong to the Clarks or the Millers
iii) Robin, who is not the miller's girl, uses cherries and grapes, but the
Flure's girl only uses one of
these fruit
iv) Mandy and the Miller girl use both apples and cherries in their salads.
a) Which family does Robin belong to?
b) Which combination of fruit did the Miller girl use?
c) Which fruit did Erica NOT use?
d) Who is the Clark's girl?
ans:
*****************************************************************************
9. A,B,C,D,E,F,G make the following statements
A: Day after tomorrow is Wednesday
B: You are wrong, tomorrow is wednesday
C: No, tomorrow is thursday.
D: All of you are wrong, it is not Monday, Tuesday or Wednesday
E: Tomorrow is Friday
F: Today is Wednesday
G: Anyway, yesterday was not saturday.
All but one person is correct.
Whos is correct and what day is it?
Ans : G (not sure)
*****************************************************************************
10. Six men decide to cut logs in 1/2 yards for a fire. The men are A, B, C, D,
E, F ( these are all
their first names). They work in pairs. with A, C and E being leaders of each
pair. A and B cut 1½
yard logs, C and D cut 2 yard logs and E and F cut 1yard logs.
J and K manage to make 26 logs, L and M 27 logs and N and O 28 logs (these are
all their last
names). The headmaster congratulates J,L and N on their fine leadership. What is
B's last name?
( Note actual names were different, some confusing russian names )
Ans: B's last name is M. When you cut 1 and a half logs into half logs you get
three half logs. Only 27
is a multiple of 3, and A is a captain.
*****************************************************************************
18th April 2004
1: A man brought some watermelons to town and sold them. he sold 1/2 more than
1/2 of what he
brought and he was left with one melon. how many melons did he bring to town?
Ans: let the no of melons be x,
X- x/2+1/2 = 1.
X=3;
*****************************************************************************
2: The reverse of my age is my son's age. One year back, my age was twice my
son's age. what are
the current ages of father and son?
Ans: 73 & 37
********************************************************************************
***********
3: There will be four friends, one is doctor, one is lawyer… they are having
four cars one ferrari,
corvette …. there were some conditions and we were suppose to find what is
profession of each one
and what car they own. [ 8 marks ]
ANS: Here the question is incomplete but iam giving it just for the idea.
*****************************************************************************
4: There is a circular ring in which there are 12 black mice and one white mice
. a cat walks circularly
in the ring and eats every 12th mice. where should the cat start so that the
white mice is the last one
to be eaten by cat?
Ans: if the cat moves circularly it has to start from the 11th mice (clockwise)
w.r.t. to white one.
*****************************************************************************
5: a farmer grows four types of crops say W,X,Y & Z . two conditions were given:
1-> if the farmer grows crop W in a year then also grows X that year
2-> if the farmer grows crop Z one year then he never grows crop Y next year
there were 6 choices among which we were supposed to find one correct one which
does not violate
the two conditions the choices were some thing like:( first pair denotes crops
grown first year and
second after semicolon represents crops grown next year) W,X ; X,Z (this one is
a valid one)
Ans: incomplete question
*****************************************************************************
6: In a class there are less than 500 students . when it is divided by 3 it
gives a whole number.
Similarly when it is divided by 4,5 or 7 gives a whole number. find the no. of
students in the class
Ans: 420(l.c.m of 3,4,5,7).
*****************************************************************************
7: There are three types of birds A,B & C . A costs 5pounds, B costs 3 Pounds
and C costs 1/3 of a
pound. Find the no. of A,B &C such that u will get 100 birds for 100 pounds. (I
think we were suppose
to find 3 answers since there were 3 rows in the answer)
Ans: 5A+3B+(1/3)C=100…try hit and trial ….
A : 4 , B : 18 ,C: 78
*****************************************************************************
8: There are 5 persons who have won top five places in an event in Olympics .
one of them asks all
the five regarding thier positions, they reply as:
A: "i am not the last"
B: "c is in third place"
c: "E is behind A"
d: "B is in first place"
e: "D is not the first"
the persons who have won gold and silver have lied .find the positions in
order(format: name of first,
name of second,..)
Ans: B,D,E,A,C
*****************************************************************************
9: A coffee seller has two types of coffee Brand A costing 5 bits per pound and
Brand B costing 3 bits
per pound. he mixes two brands to get a 40 pound mixture. he sold this at 6 bits
per pound. the seller
gets a profit of 33 1/2 percent. how much he has used Brand A in the mixture?
Ans: Quantity of cheaper/quantity of dearer = (dearer -mean price)/(mean
price-cheaper).
mean price given m=6 bits
c/d=
30 pounds
*****************************************************************************
1.While driving through the countryside one day I saw farmer a tending his pigs
and ducks in his
yard. I was curious to know how many of each he had. I stopped the car and
inquired. Learning on
the site jovially, He replied I have altogether 60 eyes and 80 feet between
them. I drove off trying to
calculate in my mind the exact number of ducks and pigs he had. What do you
think is the answer? [
3 Marks]
Answer:-
let p,d be no of pigs and no of ducks
2p+2d=60
4p+2d=80
pigs=10,ducks=20
*****************************************************************************
2. Find the value of following chart
T ? R ? O ? M ?
IF
T R O T
+ T R O T
—————–
R O O M
——————-
Answer:- T=2 , R=5 , O=0 , M=4 [ 3 Marks]
*****************************************************************************
3. There was three queens named amina, yina, FATINA and they used three type of
jewelry like
Diamond , Gold, Embraced and Three thief named abu, kisra and badri . Some
conditions are given
like the eldest queen not used gold the BOM was friend of youngest queen.(Four
more conditions
are
given I could not remember ) Finally they asked
Queens Thieves Jewelry
Sify ? ?
TANIA ? ?
FATINA ? ?
Answer:- easy one. [ 6 Marks]
*****************************************************************************
4. A man working in MNC for going office he used daily local trains which was
shouted in the morning
There was two type of trains one is type A and other was type B . The frequency
of both trains was
10
minutes if one trains (type A )start at 5:00 AM so second (Type B)start at 5:02
A.M and after that it
continuously running in every 10 minutes .A Man went to the station at random
time in the morning
what is the number of chance he got type A train mostly rather then type B
trains.
[4 Marks]
Answer:-
8 times changes he got type A train
*****************************************************************************
5. same old dravid,abhor,maghar marriage question. [ 8
Marks ]
Answer:-
(1) a
(2) c
(3) d
(4) d
*****************************************************************************
6. A person Buy some clothes from wholesale at some discount and think when will
he sale it at retail
price he get 40% profit.But some how after selling whole clothes he feel that he
get 39% lose. After
searching the reason he came to know his Weight meter ( clothe meter) is not
proper .Can you tell
we How much meter weight and is it more or less from normal. [ 4 Marks]
sol: let the cost price per 1 metre be 1 rupee
and let he bought 100 mts for 100 rupees.
selling price is 140% of cost price(since 40 % profit..given) =>1.4
rupee
but he got 39% loss…..i.e 61% of (100) =>61 rupee ,he got by
selling 100 metres at 1.4 per metre
so he sold only 61/1.4 metres ==43.571 instead of selling 100 metres
because of his faulty metre..
100/(1+x) =43.571
x=1.29
his metre size is 2.29 mtres..(check it out ).
*****************************************************************************
7. Two boys A and B work as a part time in a shop . A works every after 2 days
while B Works every
after 3 days,A start working at 1 June Thursday while B start working at 2 June
Wednesday Can you
tell in which date of month they work together. [ 4 Marks]
sol:- 10 June Thursday they work together [ after 2 days from 1 June means next
at 4 June not in
3 June similarly for other]
*****************************************************************************
8. A car is travelling at uniform speed.The driver sees a milestone showing a
digit number ,after
travelling for an hour the driver sees another milestone with the same digits in
reverse order after
another hour the driver sees another milestone containg the same two digits what
is the average
speed of the driver. [6 Marks]
sol:- hit and trial …
45 Kmph
for 1st hour 16,
next hour 61,
and next hour 106 ,diffe is 45 .
*****************************************************************************
9.A,B,C,D,E, four person are given and they are involved in six professions like
consultant,
Technician, Artist , Neurologist ,physician Some conditions was also given like
(i)Consultant was youngest of all four
(2) Technician was not oldest to B who is not youngest the artist
(3) one more condition ,I could not remember
(4)C is not youngest of all
Finaly asked the profession of every individual person
[6 Marks]
sol: INCOMPLETE QUESTION.
*****************************************************************************
10. Jonty went for movie with his family but at the ticket window a lot of rush
present so he was
getting upset,then his father told him I am giving you a puzzle for you ,so that
your time pass
properly, he was agree then his father told him here lines of people at every
after third man there was
a kid ,but number of man and women is three times to the number of kids , Total
people value lies
between 800 to 1000. Can you tell me number of kids and number of adults . [ 6
Marks]
sol: it will have multiple answers one of them is 876(657 adults,219 childs)
*****************************************************************************
(1) Two stations connected by railroad. Trains start every hour from each
station to the other , at the
same time. A Train takes 5 hours to reach the other station. How many trains
will a train meet during
its journey?
sol: 5 ( i think…)
*****************************************************************************
(2) A weighing balance of unequal length bars. One kilogram on left pan is equal
to 8 melons on the
right pan. One kilogram on right pan equal to 2 melons on the left pan. What is
the actual weight of
the watermelon?
sol:1/2 kg,
( from above 2 state ments …left pan wt is equal to 6 melons)
*****************************************************************************
(3) A big cube painted read on all 6 sides. It was cut into 27 smaller cubes by
6 straight lines. How
many of the smaller cubes painted red on 3 sides, 2 sides, one side and none?
sol: 8,12,6,1
*****************************************************************************
(4) 6 shoes of three brands and 24 socks of black and brown colours. How many
shoes and socks to
be taken out in dark to get a matching pair?
sol: shoes 4 ,socks 3
*****************************************************************************
(5) 5 glubs killed by 5 knights. The slain 5 glubs are laid on the ground with
from head to toes in a
line of 200 ft. There is a gap of 5 feet between each successive head and toe.
First, third and last of
the glubs are of same length and so as second and fifth are of each height. Find
the height of each
glub?
sol:
solve it friend…
*****************************************************************************
(6) If a cyclist takes 3 mins in the direction of wind for a distance of 6 m and
4 minutes against the
direction of the wind. Assuming the cyclist applies same force on the pedals at
all times, find the time
taken by the cyclist in No wind?
ans:Vc+Vw=6/3*60=1/30 m/s; where Vc is is the speed of cyclist and Vw is the
speed of wind.
Vc-Vw=6/4*60=1/40 m/s;
Vc=1/2[1/30+1/40] =35/120 =7/24;
*****************************************************************************
(7) A cart driver at the quarry picks the stonecutter from the ferry station
every morning at 6:00 am. If
one day the stonecutter arrives at the ferry early and walks towards the quarry,
he meets the cart
driver on the way and together they reach the quarry 20 minutes early. At what
time did they meet
each other?
ans:
solve it friend…
*****************************************************************************
(8) a) 1,2,3,5,16, __.
ans: 79 ( (2*1)+1,(3*2)-1,(5*3)+1,(16*5)-1……..)
*****************************************************************************
(9) Temperature of 5 days recorded. Their product is 12. Find the temperatures?
ans: -1,+1,-2,+2,3
*****************************************************************************
(10) A, B, C, D, and E – They have stories to tell about who went for a circus.
2 are liars and one is
true. Only one went for circus and who?
ans: incomplete question..
*****************************************************************************
1.Mr.John walked 10 yards down X street then he turned left and walked 10 yards
down Y street.he
again turned left and walked 10 yards down in Z street then he turned left and
walked 15 yards
along another street then he turned left and walked 10 yards down that street
again he turned left
and walked 5 yards which street was he in ?
Ans. Y street (sure)
*****************************************************************************
2.Uncle reuben and aunt cynthia came to town to shop reuban bought a suit and
hat for $15 cynthia
paid as much as for her hat as reuben did for his suit then she spent the rest
of their money for a new
dress on the way home cynthia called reubens attention to the fact that his hat
cost $1 more than her
dress then she added if we had divided our hat money differently so that we
bought different hats
mine costing 1 and 1/2 time cost if yours then we each would have spent the same
amount of money
in that case said uncle reuben "how much would my hat have cost"
Ans. Uncles hat costs $6.2 (total money was $29)(not sure)
This question is repeated from 18 jan 2004 infy test.
*****************************************************************************
3.Ricky Gooch and his friends decided to get together to celebrate his
birthday.there were 11 people
at the party they clinked glasses with each other every person with evry person
just once how many
times did the glasses clink?
Ans. 55 times(sure) { 10+9+8+7….+1}
*****************************************************************************
4.A spider spins its web in a window frame each day it spins an area equal to
that of the amount
already completed it takes 30 days to cover the entire window frame how long
would two spinders
take?(in case of two spiders each of them spins an amount qual to the area of
the existing part of the
web made by that particular spider)
Ans. 29 days
*****************************************************************************
5.Mr.A lies on Mondays Tuesdays and Wednesdays Mr.B lies on Thursdays Fridays
and Saturdays
MrA said "Yestarday was one of my lying days" MrB said "Yestarday was one of my
lying days too
"What day of the week was it?
Ans. Thursday
*****************************************************************************
6.The captain of the pirates comes home after 6 years of prison and says i was 5
times older than my
son when i started my prison term but now i am only 3 times as old as he is when
my son gets twice
as old as he is now I will be twice as old as him how old ws the captain when
his son was born?
Ans. 24 years
*****************************************************************************
7. Dori Juanita and Leona each had a test today One test was in MusicOne test
was in Reading One
test was in Spelling the test grades were A B and C
* Dori's grade was lower than both Juanitas grade and the reading test grade
* The spelling test grade was higher than the reading test grade
What test did each person take and what was the grade on the test?
Ans. Juanita Spelling A
Leona Reading B
Dori Music C
*****************************************************************************
8. At last weeks girl guides picnic four girls were tucking into their packed
lunches jane had muffins
but Denise didnt have orange juice the girl who had blackcurrant juice also had
scones and Jessica
had blueberry juice The girl who had cake also had strawberry juice whereas
Alice didnt have the
strawberry juice nor toast Can U work out who had which drink and which dessert?
Ans. Alice Blackcurrant Juice Scones (not sure)
Janes Orange Juice Muffins
Denise Strawberry Juice Cake
Jessica Blueberry Juice Toast
*****************************************************************************
9.Alma Bess Cleo and Dina visited Edna on Saturday The time of each visiit as
follows
Alma at 8 o'clock
Bess at 9 o'clock
Cleo at 10 o'clock
Dina at 11 o'clock
At least one woman visited Edna between Alma and Bess Alma did not visit Edna
before both Cleo
and Dina. Cleo did not visit Edna between Bess and Dina Who visited Edna Last?
Ans. Alma(sure)
*****************************************************************************
10.Jeanine is bored playing with blocks while babysitting her baby brother To
keep herself amused
she decides to stack up all the blocks so that each row hs one less block than
the row below There
are a total of 55 blocks and Jeanine wants end up with just 1 block at top.how
many should she put in
the bottom row?
Ans. 10 Blocks
*****************************************************************************
1) There are 15 poles at equal distance beside the railway track. If a train
moves from 1st pole to
10th pole in 10 minutes. How much time it will take to touch 15th pole.
ans 9x distance in 10 mins, let x be the distance b//n two succesive poles.
14x distance in ? mins
=140/9 sec;
*****************************************************************************
2) A thief tries to escape from jail in five different ways
a) Disguising in dress of a visitor
b) By making a tunnel
c) by killing the police
d) By joining the party(function)and escape with group
e) I don't remember this condition
from Monday to friday . asked to find on which day he tries in which manner. The
following
conditions were given
He tries to escape by disguising in the form of visitor two days before trying
to escape by making a
tunnel.
On immediate day after making tunnel he tries by killing the police.
He tried to escape by joining the party one day after e)condition
and one more condition was given
ans: incomplte question.
*****************************************************************************
3)There is a cube with all faces painted red. If we cut in into 27 pieces with
six straight cuts. How
many cubes will be there with
3 sides painted red ans :8
b) 2 sides painted red ans :12
c) 1 sides painted red ans: 6
d) 0 sides painted red. ans:1
*****************************************************************************
4)A man jumps into a river from a overbridge ,at the same time a hat drops in
the river which flows
with the stream of the water. That man travels 10 minute upstream and returns
back where he was
asked to catch the hat. He catches hat at a distance of 1000 yard down at a
second bridge . Find the
speed of the river.(some different wording was given)
ans:
solve it friend…
*****************************************************************************
5)In a shelf there was 17 blue, 15 red ,10 yellow , 15 black, 20 green ties.
Suddenly lights were put
off . he decided to take the ties in darkness.what are the minimum of number of
ties that are to be
taken from shelf so that he gets the at least two ties of same colour.
ans: 6 ties.
*****************************************************************************
6)There was some question on buying hats and dress by aunt and uncle(but it was
easy).
*****************************************************************************
7)Given names of 6 people and given 10 conditions from that we have to get the
ages of those
people and places they live (It can be thought as a bonus problem as it was very
easy for 10 marks).
8)two trains of length 1/6 miles are moving toward each other with a speed of 60
miles per
hour.aproaching toward each other .In how much time the two locomotives cross
each other.
ans: (1/6)/120 hours.
*****************************************************************************
9) a train after running for one hour blasted balloon(something I don't know
exact word)after one hour
starting from the station and runs with 3/5th of its original speed and reaches
the destination two
hour late. If the blast has occurred after more 50 miles if accident has occured
it might reached the
destination 40 minute earlier. Determine the distance starting station to the
destination.
*****************************************************************************
1. The following information is available about a group of young men in a
colony.[ Marks: 8 ]
All handsome, fair skinned, muscular, lean, employed, and rich men are tall.
All handsome men are fair skinned.
Some muscular men are handsome.
Some muscular men are not fair skinned.
All lean men are muscular.
No lean man is handsome.
No fair skinned man who is not handsome is rich.
All tall men who are neither fair skinned nor muscular are employed.
1. pramod is not fair skinned. Which of the following must be true ?
a) pramod is employed
b) if pramod is muscular, he is neither handsome nor lean
c) if pramod is tall, he is employed or muscular.
d) if pramod is not employed, he is muscular.
e) if pramod is tall, he may be muscular or handsome, but not both.
2. which must be false if the information given is true ?
a) no lean men are fair skinned.
b) some fair skinned are lean.
c) some rich men are both fair skinned and muscular.
d) some tall men are neither fair skinned nor employed
e) some rich men are lean
3. which of the following can be deduced from the information given ?
a) all rich men are handsome
b) some rich men are handsome
c) some rich men are employed
d) some rich men are muscular
e) all rich men are handsome, muscular, or employed
4. which cannot be shown to be true or false on the basis of the information
given ?
I. No fair skinned or muscular man is employed
II. Some muscular men are fair skinned but not handsome
III. No fair skinned man both handsome and lean
a) I only b) II only c) III only d) I and II e) II and III
Ans: 1) C 2)D 3) E 4)B
*****************************************************************************
After gathering 770 chestnuts, three girls divided them up so that amounts were
in the same
proportion as their ages. As often as mary took four chestnuts, nelli took
three, and for every six that
mary received, Susie took seven. How many chestnuts did each girl get ?
Ans: m=4 —–>n=3;
m=6 —–>s=7; ======>> 4/6(m=6)——->4/6(s=7)
====> m=4———->s=14/3
ratio is
3:4:14/3 (n:m:s)
9:12:14;
nelli s share is 9/35(770)=198;
mary's is =12/35(770)=264;
susie's is =14/35(770)=308;
3. [ Marks : 5 ]A supportive young hare and tortoise raced in opposite directions around a circular track that was 100 yards in diameter. They started at the same spot, but the hare did not move until the tortoise had a start of one eighth of the distance ( that is, the circumference of the circle). The hare held such a poor opinion of the other's racing ability that he sauntered along, nibbling the
grass until he met the tortoise. At this point the hare had gone one sixth of the distance. How many times faster than he went before must the hare now run in order to win the race ?
Ans: mostly 22 times than its before speed
4. [ Marks : 4 ]
Ajit was driving down the country side when he saw a farmer tending his pigs and
ducks in his yard.
Ajit asked the farmer how many of each he had. The farmer replied that there
were 60 eyes and 86
feet between them.
How many ducks and how many pigs were there ?
Ans: 13 pigs and 17 Ducks
*****************************************************************************
5. [ Marks : 4 ]
In Mulund, the shoe store is closed every Monday, the boutique is closed every
Tuesday, the grocery
store is closed every Thursday and the bank is open only on Monday, Wednesday
and Friday.
Everything is closed on Sunday.
One day A, B, C and D went shopping together, each with a different place to go.
They made the
following statements:
A D and I wanted to go earlier in the week but there wasn’t day when we could
both take care
of our errands.
B I did not want to come today but tomorrow I will not be able to do what I want
to do.
C I could have gone yesterday or the day before just as well as today.
D Either yesterday or tomorrow would have suited me.
Which place did each person visit ?
Ans:
solve it friend…
*****************************************************************************
6. [ Marks : 6 ]
The Novice hockey tournaments are on for beginners. Just three teams are in the
league, and each
plays the other two teams just once. Only part of the information appears in the
result chart, which is
given below.
T e am Games Won Lost T i ed G o a l sFor G o a l s against
A 2 1 0
B 2 1 1 2
C 2
The scoring pattern in the tournament is as follows:
Two points are awarded to the winning team. In case of a tie, both teams are
awarded one point, so
the total points in the standings should always equal the total number of games
played ( since each
game played is counted as one for each of the two participating teams). Of
course, total goals scored
for and goals scored against must be the same, since every goal scored for one
team is scored
against another.
The games are played in the following order: Game 1: A Vs B; Game 2: A Vs C;
Game B Vs C
Can you determine the score of each of the above games ?
Ans: A B 0 1
A C 0 0
B C 0 2
*****************************************************************************
7. [ Marks : 8 ]
A recent murder case centered around the six men, clam, flip, gront, herm, mast,
and walt. In one
order or another these man were the victim, the murderer, the witness, the
police, the judge, and the
hangman. The facts of the case were simple. The victim had died instantly from
the effect of gunshot
wound inflicted a shot. After a lengthy trial the murderer was convicted,
sentenced to death, and
hanged.
* Mast knew both the victim and the murderer.
* In court the judge asked clam his account of the shooting.
*Walt was the last of the six to see flip alive.
*The police testified that he picked up gront near the place where the body was
found.
*Herm and walt never met.
What role did each of the following play in this melodrama ?
a) Murderer====calm
b) Victim ==== flip
c) Judge
d) Witness===gront
8.[ Marks : 5 ]
Fodder, pepsi and cereale often eat dinner out.
a) each orders either coffee or tea after dinner.
b) if fodder orders coffee, then pepsi orders the drink that cereale orders
c) if pepsi orders coffee, then fodder orders the drink that cereale doesnot
order
d)if cereale orders tea, then fodder orders the drink that pepsi orders
which person/persons always orders the same drink after dinner ?
Ans: According to George summers Fodder always drinks Tea
*****************************************************************************
9. [ Marks : 6 ]
At a recent birthday party there were four mothers and their children. Aged
1,2,3 and 4. from the
clues below can you work out whose child is whose and their relevant ages ?
* It was jane's child's birthday party.
* Brian is not the oldest child.
* Sarah had Anne just over a year ago.
* Laura's Child will be next birthday.
* Daniel is older than Charlie is.
* Teresa's child is the oldest.
* Charlie is older than Laura's child.
Ans: Anne-1year-Anne
Brian-2year-Leura
Chearlece-3years-Jane
Denial-4years-Tesera
*****************************************************************************
Pune 8th Dec
1.one stamp collector arranges his stamps in some order ,whenever he arranges
stamps in group of
2or 3or 4 or 5 or 6 one stamp left ,but when he arranges in such a order that
every group is having 7
number of stamps then nothing is left.How many stamps he is having.(sentence is
some what
changed ).
ans:721
*****************************************************************************
2.Two wine merchant s reached on paris gate.A is having 64 barrels wine and B is
having 20 barrels
.A paid 5 barrel plus 40 frank as tax and B paid 2 barrels and got 40 franks in
return.What is the cost
of one barrel and how much is tax per barrel.
ans: 64(T)=5B+40;
20(T)=2B-40; where T is the tax per barrel and B is the cost of each
barrel.
solve for T and B
*****************************************************************************
3.There are two barbers both take same time for hair cut and shave .If 15 min
required for hair cut
and 5 min for shave.what is the possible minimum time if there are three
customer in theire shop for
hair cut as well as shave.
ans: 30 minutes..
in first 15 minutes:
barber 1——— customer1 hair cut
barber2———–customer2 shave +customer3 shave+5 minutes of hair cut
for customer2
in next 15 minutes
barber 1———-customer 3 hair cut
barber 2———-customer 2 hair cut for 10 mins +customer1 shave
*****************************************************************************
4.One painter is having seven painting to exhibit
T,U,V,W,X,Y and Z out of them only 5 she selects for
exhibition.(8 marks)i.If T selects then X can not.
ii.If U selects then Y is must
iii.If V selects then X is must.
a)which group she can choose.-4 option
b)
c)
d)
*****************************************************************************
5.One race we have completed with the speed of 10 miles per hour ,while
returning because of
smooth traffic we come back with 15miles per hour speed .So what was our avarage
speed? 2 marks
ans : 2*10*15/(10+15);
*****************************************************************************
6.one village has three caste A B and C.
i.A cant marry with C woman
ii.B cant marry with C man.
If a couple have boy he gets father's name if girl then
mother's.depending on this there were 4 objective quetions.(8 marks)
a)
b)
c)
d)
*****************************************************************************
8.A says to B " when we met last exactly 4 years back ,you were having two
kids,How old they are
now?"B says "Not two ,three meanwhile".
"The product of their ages is ninty six ,and sum is equalent to your house
number."A says "You are
smart" .But i am not sure tell me more. B says "Its easy you can find it "
Question :What is the sum of their ages?(6 marks).
sol:x*Y*z=96 wher x>y>z and 4>z<=1
get the answer by HIT and TRial method
answer is 21.
*****************************************************************************
9. 'A' with her baby going towards park ,she meets a person who is her Husband's
Mother's only
Daughter in law's sister's Husband.Who this person with 'A';
sol :brother in law(sister's Husband).
*****************************************************************************
10.One bag is having three kinds of apples .Tell the minimum turns for having
all three apples of
same kind if I am picking up one at a time.
Ans: 7 turns.
*****************************************************************************
30 th Nov 2003
2) We are given 100 pieces of a puzzle. If fixing two components together is
counted as 1 move ( a
component can be one piece or an already fixed set of pieces), how many moves do
we need to fix
the entire puzzle.
Ans: 18
*****************************************************************************
3) This problem has appeared b4. 4 kids from 2 families Gupta and sharma…
their names are
Praveen, Pra… blah blah…and some relation… which family and what are their
ages..
Ans: Sinhas – 11(praveen)
Sinhas – 5(lalit)
Gupta – 10(pratap)
Gupta – 7 (rajesh)
*****************************************************************************
4) This was one hell of a long problem – But it has appeared before.. Two girlz
after one guy ( sue,
swe and sam i think)..Sue first asks his house no… he replies with two
statements (second is false)
so she goes to the wrong house… blah blah.. same thing happens with the other
gal
What was the house number of sue and sam
Ans: 20 and 24
*****************************************************************************
5) A complex statement – about an aeroplane comming late. "The boy says if it
was 6 hours later, the
waiting time would be 1/5th of the time if the plane had come 2 hours earlier
instead. the plane is
supposed to come at midnight
Ans 11.00 a.m
*****************************************************************************
7) A kid goes to a bank with a checque… Comes back and says he spent 35 cents
.. his mom says
you have brought back twice what u ver supposed to get. What happened is the
novice bank clerk
gave dollars for cents and vice-versa(quote silly) anway… What was the actual
amount??
Ans: easy…. solve it friend…
*****************************************************************************
Two guys work at some speed…After some time one guy realises he has done
only half of the
other guy completed which is equal to half of what is left !!! #$%#$
So how much faster than the other is this guy supposed to do to finish with the
first…..
Ans: twice
*****************************************************************************
Nov 2003
1). Ann,Brian,Cedric and Dave were Architect,Barber,Caretaker and Dentist not
necessarily in that order.
a)Atleast one but not all have the initials of occupation and name as same
alphabet.
b)The architect did not have 'r' in his name
c)The dentist and barber had exactly one alphabet common in their names.
Tell the occupation of Ann and Cedric (4 marks)
*****************************************************************************
2). John had a square farm.This year he had a larger square patch and hence he
had 211 cabbages
more than previous year.How many cabbages did he have the previous year.(4
marks)
ans :
easy…. solve it friend…
*****************************************************************************
3) An old man had 1000 rs. and he wanted to distribute them among his five sons
according to their
ages such that a son received 20 rs more than the younger one.Watson was the
youngest one.How
much did watson receive.? (4 marks)
ans
easy…. solve it friend…
*****************************************************************************
4).There are 100 bulbs and 100 switches,one switch for each bulb.Initially all
the switches are ON
and the bulbs are glowing.Then following actions are performed….
a)The switch numbers divisible by 2 are turned OFF if they are ON ,and turned ON
if they are OFF.
b)The switch numbers divisible by 3 are turned OFF if they are ON ,and turned
ON if they are OFF.
c)The switch numbers divisible by 4 are turned OFF if they are ON ,and turned
ON if they are OFF.
and so on…..till swich numbers divisible by 100…
Find the number of bulbs glowing at the end.(6 marks)
ans: easy…. solve it friend… if u wont get
it….no problem….leave it.
u will come across the same problem with solution at the end
of this material.
*****************************************************************************
5) An old man had some gold coins which he wanted to distribute among his 5 sons
and 5
daughters.He gives 1 gold coin to his driver and then 1/5 of remaining to his
first son.Again he gives
1 coin to his driver and 1/5 of the remaining to his second son and so on till
the last son.He does the
same thing with his daughters.How many gold coins did the old man have
initially.?(6 marks)
ans:
easy…. solve it friend…
*****************************************************************************
6) A murder took place and there were 5 witnesses who give the following
description about the
murderer…
witness A-murderer had blue eyes,he was tall,he wore a hat and vest.
witness B-murderer had black eyes,he was short,he wore a hat and vest
witness C-murderer had brown eyes,he was Medium sized,he wore a hat and raincoat
witness D-murderer had grey eyes,he was tall,he didnt wear a hat and he wore a
vest.
Each one of them gave exactly one fact correct. Describe the murderer in terms
of eyes, height, hat,
vest and raincoat.(6 marks)
ans: easy…. solve it friend…
*****************************************************************************
7)A weighing pan was faulty as it had one arm longer than the other.3
cubeweights on right side
balanced 8 potweights on left side and 6 cubeweights on left side balanced 1
potweight on right
side.One cube weight weighs one ounce .then find weight of one potweight.(4
marks)
ans: easy…. solve it friend…
*****************************************************************************
3rd Sept 2003
1)Every station in N railroad issues every other station's ticket. Some stations
are added. Now they
have to issue 46 more tickets. Give the No. of stations after and added.(5
marks).
sol: for N stations Nc2 i.e N(N-1) tickets r required.
===>N(N-1)=t
After adding x stations,
(N+X)(N+X-1) = t+46
solve it By trail and error method
2)There was a race between 3 ppl; Me, Doug and Anne. When i take 21 steps the
distance covered
is equal to Doug's 24 steps and Anne's 28 steps . I take 6 steps to every 7
steps of Doug and 8
steps of Anne. Who won the race?
sol: 21M=24D=28A distance of me,dug,anne
M=24/21D
a=24/28D
6M=7D=8A steps of me,dug,anne
6*24/21 =7=8*24/28
so doug will win the race
*****************************************************************************
3)How many bearers will an explorer need for a 6 day march if each man can carry
the food stuff of
one man for 4 days.
sol: iam sorry…. think about it
*****************************************************************************
4) Consider the foll statements:
Albert: Dave did it.
Dave: Tony did it.
Gug: I did not do it.
Tony: Dave lied when he said that i did it.
(a)If only one out of all above statements is true, who did it?
(b)If only one out of all above statements is false, who did it?
sol:
very easy…. solve it friend…
*****************************************************************************
5) A contribution of Rs. 500 was raised from 500 people. The fee was as follows:
Men: Rs.3.00 each
Women: Rs. 2.00 each
Childern: 0.48 each
If number of women is more than number of men, how many childern are there? (5
marks)
sol: w*2>M*3
w > 3M/2
…..
…….
*****************************************************************************
6) Alice and Liu had some berries. The total of Alice's berries and square of
number of berries with
Liu is 62. The total of Liu's berries and square of number of berries with Alice
is 176. How many
berries does each of them have? (6 marks)
sol: let b1 be the no of berrys at alice.
let b2 be the no of berrys at liu.
b1+sqare(b2)=62.
b2+square(b1)=176.
solve for b1 and b2.
………
*****************************************************************************
7)A rope ladder was left down from a ship. 12 steps of the ladder were exposed
at 10:00 am.
The queen who was going to visit the ship, said she would visit at 1:00 pm as
she would have to
climb lesser number of steps then. The tide in the sea increases from morning to
afternoon at the
rate of 1.2 meters per hour. The distance between any 2 steps of the ladder is
0.4 mts. How many
steps will the queen have to climb?
sol:
CLUE: for 3 hours(10:00am to 1:00pm) tide in sea increases by 3.6 meters
(given tide rate as 1.2 m/hour)
*****************************************************************************
8)5 hunters Doe, Deer,Hare,Boarand Row kill 5 animals. Each hunter kills an
animal that does not
corrspond to his name. Also each hunter misses a different animal which again
does not correspond
to his name.
a) The Deer is killed by the hunter,known by the name of the animal killed by
Boar.
b) Doe is killed by the hunter, known by name of animal missed by Hare.
c) The Deer was disappointed to kill only a Hare and missed the Roe.
sol:
very easy…. solve it friend…
*****************************************************************************
29 Aug 2003 Cochin (Shreds)
1. A man was travelling to a place 30 miles away from starting point.he was
speeding at 60 miles/hr.
but when he came back, his car got breakdown and half an hour was wasted in
reparing that.
altogether he took 1 hr for return journey. Find the avg. speed of the whole
journey.
sol: avg speed = total distance/total time taken
= 60/(3/2)=40 miles/hour
*****************************************************************************
A detective was assigned to generate a code using 4 digits, so that no one could
break it. he knew
that if the code starts with 0,5 or 7 it will be cracked. so how many numbers
can be formed using 4
digits.
sol: for 1st digit :
only 7 digits r eligible.=7 ways=7p1
for 2nd n 3rd n 4th digits all 10 numbers r eligible=10p1.10p1.10p1
=====7p1.10p1.10p1.10p1
*****************************************************************************
3. A cow was standing on a bridge, 5feet away from the middle of the bridge.
suddenly a lightning
express with 90 miles/hr was coming towards the bridge from nearest end of the
cow.seeing this
the cow ran towards the express and managed to escape when the train is one feet
away from the
bridge. if it would have ran to opposite direction(ie away from train) it would
have been hit the train
one ft away from the end of the bridge. Calculate the length of bridge.
sol: a bit tough …. solve it friend…
*****************************************************************************
4. there are 3 towns attacked by 3 dragons-x,y,z. Number of days x attack a town
is equal to number
of days y attacking another town. Number of days x attack is equal to half the
square root of number
of days z attacking a town.number of days y attacking the town is twice the
square root of z.calculate
how much days the curse of each dragon be.
sol: very easy…. solve it friend…
*****************************************************************************
6. A town have a population of 500000 and 42% of males and 28% of females are
married to same town. find the total number of males
sol: from above state ment it is clear that
42%M=28%F where M is the no of males and F is the no of Females
=>f=(42/28)M
and given that total population is 500,000;
=>M+F=500,000
M+(42/28)M=500,000
M=200,000
and F=300,000
*****************************************************************************
9. A and B came back home after their exam and their father asked them about the
test.
A replied– 1/3rd of my answers were wrong
B replied– 5 of my answers were wrong but together we got 3/4 of answers right.
How many questions were there for the exam?
sol: solve it friend…
*****************************************************************************
24 Aug 2003
1) There is a five digit number. The fifth digit is one fourth of the third
digit and one half of the fourth
digit. Third digit is one half of the first digit. second digit is 5 more than
the fifth digit. What is that 5
digit no.?
sol: let the number be "abcde"
given that e=c/4;==>c=4e
e=d/2;==>d=2e
c=a/2;===>a=2c;
b=e+5
now that number can be written as
(8e)(e+5)(4e)(2e)(e)
put e=1
then the number will be 86421
*****************************************************************************
2) There are three associates and they have some money in a room. But no one is
believing others
alone. so, a) No one should be able to open the room alone.
b) When any 2 persons are combined they should be able to open
the room. What is the minimun
no. of locks & keys required.? (5M)
sol: 3 locks and 6 keys ( 2 keys per lock)
1st person holds 1,2 keys(ist lock key and 2nd lock key)
2nd person holds 2,3
3rd person holds 3,1 keys.
*****************************************************************************
4) A boy goes to school from his house.on one fourth oh his way to school, he
crosses a
machinery station. And on one third of his way to school, he crosses a Railway
station.
He crossed the machinery station at 7:30 and he crosses the Railway station at
7:35.
when does he leave the house & when does he reach the school ? (5M)
sol: let the distance to school be x;
m/c station is at x/4 th distance
rlw station is at x/3;
in 5mins he reached from m/c station to rly station
i.e (x/3)-(x/4) distance in 5 mins
===>x/12 in 5 mins
x in ?
==60 mins
he takes 60 mins to travel x distance
and 15 mins to cross m/c station(x/4 distance)
there fore he started at 7:15
and reaches the school at 8:15
*****************************************************************************
5) An Eraser,Pencil,Notebook together costs $1.00. Notebook costs more than the
cost of
2 Pencils. 3 Pencil costs more than 4 Erasers. 3 Erasers costs more than a
Notebook.
How much does a pencil costs? (5M)
sol:
easy…. solve it friend…
*****************************************************************************
A large cube is painted on all sides with Red color. It is then cut into 27
small cubes.
How many sides of the cube will have…
a) 3 red faces.===>8
b) 2 red faces.===>12
c) 1 red face.====>6
d) No red faces. (8M)==>1
*****************************************************************************
9) Four persons A,B,C,D were there. All were of different weights. All Four gave
a
statement.Among the four statements only the person who is lightest in weight of
all
others gave a true statement.
A Says : B is heavier than D.
B Says : A is heavier than C.
C Says : I am heavier than D.
D Says : C is heavier than B.
Find the lightest & List the persons in ascending order according to their
weights. (5M)
sol: let us assume that a is telling true..if so he should be lighest among
them
let us check…
a says that b>d
b says that a is not heavier than c (as b tells lie)==>c>a
C says that c<d
d says that c<b
here no controversy arised till now..
let us check for the lighest person…from the above stmts
it is clear that c is lighter than b and d and a is lighter than c
there fore a is the lightest and hence
the order is
a c d b.
*****************************************************************************
23 Aug 2003
1.A alone can do a work in 6 days B alone can do in 8 days with help of c they
finished the work in 3
days.If the agreed sum is 640 what is th share of c.(refer r.s agarwal
sol: a's one day work is 1/6
b's 1day work is 1/8
let c's one day work be 1/c
they all finished the work in 3 days.
a,b,c's one day work is
1/6+1/8+1/c=1/3
c= 24days
ratios of one day's work is
1/6:1/8:1/24
==>4:3:1
c's share is (1/8)640=80 rupees.
*****************************************************************************
2.A drives a car four times a lap 10,20 30,60 kmph what is the average speed.
sol: let each lap be 1 hour
avg speed= total dist/tot time
=120/4
=30 M/H
*****************************************************************************
3.speed of boat in still water 10 km,if speed up stream is 24 km and speed down
stream is 16 what is
speed of the river.
sol: refer R.S.Agarwal
*****************************************************************************
4.If grand father age is sum all the three grand childern whos age r in equal
interval
what is the age of the grand father?
sol: easy…. solve it friend…
*****************************************************************************
6th july 2003, Morning
2) 4 people, 4 products. E.g.: Vickie will not get a tie unless George buys a
scarf. Remmie will not
get a hat unless Jack buys gloves. Around 12 statements like this.
Who will buy what?
sol: just for the idea ..i am giving this question.
*****************************************************************************
3) 13 kigs and 6 libs can produce 510 tors in 10 hrs,8 kigs and 14 libs can
produce 484 tors in 12
hrs.Find the rate of production of tors for kigs and libs.Express the answer in
tors/hr.
sol: for 12 hours:
13k+6L=612 in2 hours 2*51===>510+102=612
8k+14L=484
solve for K and L and then devide it by 12(hours)
*****************************************************************************
4) Find the 3 digit no. whose last digit is the squareroot of the first digit
and second digit is the sum of
the other two digits.
sol:let the number be "A B C".
given that C=sqrt(A)
B=A+C
now the number can be rewritten as
A (A+sqrt(A)) sqrt(A)
put A=4;
the number will be 462
*****************************************************************************
5) 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 therein the bottom most row?
sol: 10
as sum of first 10 natural numbers is 55
bottom most row =10 blocks
next 9 blocks and…so on and top most row contains 1 block
*****************************************************************************
6). Rahul took part in a cycling game with many others in a circular closed
circuit. After pedaling for
several minutes, he found that 1/5th of the cyclists ahead of him and 5/6th of
the cyclists behind him
together formed the total no. of participants. How many were participating in
the race?
sol: let N be the number of participants
since it circularly closed way…
the number of participants ahead of him will be (N-1)
and No .of participants behind him willbe (N-1) too
given that
(N-1)/5+5*(N-1)/6=N
N=31 participants.
*****************************************************************************
8 ) Tom wants to catch a hare. He is standing 250 yardssouth from the hare. The
hare starts moving
due east. Tom, instead of moving in the northeast direction, moves in such a way
that at every
instant, he is going towards the hare. If speed of tom is one and one-third
times that of the hare, find
the distance each traveled before he caught the hare.
sol:
solve it friend…
*****************************************************************************
9 ). Two people are playing with a pair of dies. Instead of numbers, the dies
have different colors on
their sides. The first person wins if the same color appears on both the dies
and the second person
wins if the colors are different. The odds of their winning are equal. If the
first dice has 5 red sides
and 1 blue side, find the color(s) on the second one.
sol:
solve it friend…
*****************************************************************************
10). A company's director said during the board meeting: " The company's income
from roads will be
sufficient to pay 6% of the entire stock issue, but since we are paying 7.5%
interest on the preferred
stock of Rs.4, 000,000 we are able to pay only 5% of the common stock". Find the
value of the
common stock.
very easy…. solve it friend…
*****************************************************************************
6th July 2003, Afternoon
1 ) A car is traveling at a uniform speed. The driver sees a milestone showing a
2-digit number. After
traveling for an hour the driver sees anothermilestone with the same digits in
reverse order. After
another hour the driver sees another milestone containing the same two digits
with a zero in
between(0). What is the a