1. a cube is white in color..but it is painted black on all sides..if this cube is divided into 125 smaller cubes..how many cubes will have minimium 2 sides painted black?
2. find the odd word out..radar,redivider,...motor...
ans: motor cuz when reversed ..it is rotom...
3.there is magic dragon with 3 heads & 3 tails....u have a magic sword tht can cut 1 head,2 heads ,
1 tail & 2 tails...if 1 head is cut another head grows...if 1 tail is cut 2 new tails grow...2 tails are cut a
new head grows...& if 2 heads r cut nothing grows...find minimium number of swings 2 cut all heads & tails...
4. in a race omani, pakistani & nepali r discussing medal prospects...following waz their
discussion...
1) if nepali wins bronze, then i'm sure 2 get silver...
2) if omani wins gold then i may get silver...
3) the gold will be won by pakistani or me...
all the statements were right..find who won gold, silver & bronze...???
5. there is a slowrun express tht runs btw bangalore & mumbai...it starts at 10.00pm & reaches
destination @ 11.30 pm 3 days later...the train is operated on all days...if the train starts from bangalore , how many other slowrun expresses will it meet on the way..b4 reaching
mumbai....???
6. there r 4 paintings...
1) painting 1 is not a oil painting...
2) painting 2 has the guy gliding or on motorcycle...
3) painting which is on tampera & tht on acrylic r on different rows..
a few more conditions were given & u need 2 find out the picture of each painting & the material used for each of them...
8. professor Z waz killed by 1 of his students...A,B,C,D...following were statements given by each 1
of them....
A: if B is guilty then C is innocent...
B : if C is guilty then A is innocent...
C: if B is guilty then D has nothing 2 do with the crime....
D: i'm innocent
Showing posts with label ONMOBILE. Show all posts
Showing posts with label ONMOBILE. Show all posts
Saturday, June 7, 2008
Paper 2
1) There is a farm which contains super hens which r genetically made to lay eggs of double size
than the normal ones. But as genetic engg. is not well
understood there is only 50-50% chance of a super hen laying large egg.
The farm is such tht it keeps the hen as long as it lays large eggs and removes the hen out of the
farm as soon as it lays one normal egg.
The farm followed the same process for one year and counted all the eggs laid by all the super
hens. At the end of the year the ratio of large eggs to the
normal ones is?
(4m neg-1)
2) There is bag containing balls of three colors-Red, Green and Yellow and there are three color
blind people A, B and C. For A Red is invisible and every other color appears Gray. For B Green is
invisible and every other color appears Gray.
For A Yellow is invisible and every other color appears Gray.
They were shown the box and when asked the question what can see their replies were
A: I can see two balls.
B: I can see two balls.
C: I can see two balls.
How many balls were there in the box and of what color? (5m neg-2)
3) There is a temple on the top of the hill of height 1000mtrs.Coconuts at the base of the hill are
sold at 5/- each and at the top of the hill at 50/- each. One
intelligent businessman thought of buying coconuts at the base and selling them at the top. For that
he appointed 2 people who can carry only 1000 coconuts at
a time and takes 1 coconut for every mtr of walk. Can he succeed in his plan. If yes how much
profit he earns for a rupee of investment? (7m neg-2)
4) In the 2nd world war Japan's war ship named J was followed by the USA war ship U which is
traveling at 100kmph. By the time U was beside J and ready to
launch the torpedo, the place was surrounded by fog and the army-general in U could not see
anything. Taking this as a chance J changed in direction at an
angle. After 6min the general in U realized it and informed the helicopter over it to find J.After 3
minutes the helicopter replied that J turned at an angle 45 degrees and was 5km away from U at
the time when the general asked for it. The intelligent general quickly turned U and successfully
caught J.
How much time "U" would have taken to catch "J"?
(8m neg-2)
Note: (You can save time by mentioning the formula).
5) Two mathematicians met after 27 years in their college. This was their conversation.
First: How are you doing?
Second: Fine I got married and have three daughters.
First: Fine. I also got married 2 years after the college. How old are your daughters?
Second: Well, Product of their ages is 72 and their sum is equal to that house number (It was not
mentioned).
First: Wait, I am still counting.
Second: Sorry, youngest of them has just started walking.
First: Is it! Youngest of mine is also of the same age.
How old are the three daughters? (12m neg-3)
6)A boy got bored of the class and started walking on a hall which contained 1024 lockers in a row.
He first opened locker 1 and alternatively left one and opened one from thereon. When he reached
the end he turned back and opened the first closed locker and from thereon continued what he did
previously. He did this back and fro method till he opened the last locker.
What is the number of the last locker he opened?
(12m neg-3)
1. One guy (some name) has Rs. 100/- in hand. He has to buy 100 balls. One football costs Rs.
15/, One Cricket ball costs Re. 1/- and one table tennis ball
costs Rs. 0.25 He spend the whole Rs. 100/- to buy the balls. How many of each balls he bought?
Marks: 3
2. There are Brown and Black cows. In five days four black cows and 3 brown cows give as mush
as milk that four brown cows and 5 black cows give in four days. If the black cow gives 10 litres of
milk per day, how many liters of milk the Brown cow will give in one day? Marks: 4
(Numbers are not certain)
3. There are following denominations of money: 1, 2, 5, 10, 20, 50, and 100 paise. Alex has as
twice mony as David, who has as twice as Bindya, who again has as twice money as Charles.
Each has two coins in hand. Which coins Bindya has? Marks: 5
4. Four countries, Armenia, Bangladesh, Cairo and Denmark came in the final of a Judo
championship. There are some conditions like a: If Cairo wins the gold and/or Denmark wins the
bronze b: if Aremania won the gold and/or Bangladesh won the bronze c:.....................
(I'm not sure about these conditions. There were three conditions)
hint: In Judo bronze medal is given to two countries. Marks: 5
5. I don't remember the question Marks: 8
6. There's a camel living in a desert. There is a market 1000 miles away. The camel has 3000
dates for sale. It has to take the date to the market. But for
that dates camel eats one date per mile. How many dates the camel can trade?
Marks: 10
7. There are 8 stamps, 4 Red and 4 Green. There are three logicians also. One moderator sticks
throw stamps each on the forehead of each logician such that each of them can see all the stamps
except those on his forehead and the two in moderator's pocket. Then the moderator asked each
whether he knows the colors of the stamps he wears? Then the answers were:
A: "No" B: "No" C: "No"
A: "No" B: "Yes"
What were the colours of the stamps that B wears?
Placement paper from Nov 7th 2004
1) There r 10 marbles each of 5 diff colors. wot is
the min. num of marbles2 b taken out so dat at least 3
marbles r of same color?
2) U need 2 kill a dragon with 3 heads & 3 tails. u
have a magic sword dat can cut 1 head, 2 heads, 1
tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails r cut -> 1 head grows
if 2 heads r chopped -> nothing grows. What is d min.
num of swings 2 b made?
3) Slow train runs b/w Blore & Mumbai, up as well as
down. It starts at 10:00pm everyday & reaches
destination by 11:30pm after 3 days. If u travel by
Slow train, how many such trains will u encounter
during journey?
4) A num of birds, black & white, r sitting on thhe
tele wire. There is at least 1 bir of each color, also
whenevr 2 birds are seperated by 4 or 7 other boirds
of any color, both birds r of same color. Wot is the
max. num of birds dat can b seated in this fashion?
5) 5 ppl, A, B, C, D, E are supposed 2 cover a certain
distance from their car to a house. There is only 1
umbrela dat can b shared by 2 ppl at a time.
It takes 1min for A 2 cover the dist, B->2 min,
C->5min, D->10min, E->15min.
Wot is d quickest poss time 4 the entire grp 2 get
into the house?
6) Mr.X belongs 2 a grp of 8 ppl including himself. In
d meeting, nobody shakes hands with the same person
more than once but everyone shakes hands with at least
1 person.
After the meeting is over, Mr.X realizes dat all the
other ppl in the party had shook a diff num of hands.
How many hands did Mr.X shake?
7) In a contest 3 probs, A, B, C r given
->25 ppl of the total num of them solved at least 1
prob each.
->Of all the contestants who did not solve A, the num
who solved B was twice the num who solved C.
->num of ppl who solved only A was 1 more than num who
solved A & atleast 1 other prob.
->Of all stud who solved just 1 prob, half didn't
solve A
than the normal ones. But as genetic engg. is not well
understood there is only 50-50% chance of a super hen laying large egg.
The farm is such tht it keeps the hen as long as it lays large eggs and removes the hen out of the
farm as soon as it lays one normal egg.
The farm followed the same process for one year and counted all the eggs laid by all the super
hens. At the end of the year the ratio of large eggs to the
normal ones is?
(4m neg-1)
2) There is bag containing balls of three colors-Red, Green and Yellow and there are three color
blind people A, B and C. For A Red is invisible and every other color appears Gray. For B Green is
invisible and every other color appears Gray.
For A Yellow is invisible and every other color appears Gray.
They were shown the box and when asked the question what can see their replies were
A: I can see two balls.
B: I can see two balls.
C: I can see two balls.
How many balls were there in the box and of what color? (5m neg-2)
3) There is a temple on the top of the hill of height 1000mtrs.Coconuts at the base of the hill are
sold at 5/- each and at the top of the hill at 50/- each. One
intelligent businessman thought of buying coconuts at the base and selling them at the top. For that
he appointed 2 people who can carry only 1000 coconuts at
a time and takes 1 coconut for every mtr of walk. Can he succeed in his plan. If yes how much
profit he earns for a rupee of investment? (7m neg-2)
4) In the 2nd world war Japan's war ship named J was followed by the USA war ship U which is
traveling at 100kmph. By the time U was beside J and ready to
launch the torpedo, the place was surrounded by fog and the army-general in U could not see
anything. Taking this as a chance J changed in direction at an
angle. After 6min the general in U realized it and informed the helicopter over it to find J.After 3
minutes the helicopter replied that J turned at an angle 45 degrees and was 5km away from U at
the time when the general asked for it. The intelligent general quickly turned U and successfully
caught J.
How much time "U" would have taken to catch "J"?
(8m neg-2)
Note: (You can save time by mentioning the formula).
5) Two mathematicians met after 27 years in their college. This was their conversation.
First: How are you doing?
Second: Fine I got married and have three daughters.
First: Fine. I also got married 2 years after the college. How old are your daughters?
Second: Well, Product of their ages is 72 and their sum is equal to that house number (It was not
mentioned).
First: Wait, I am still counting.
Second: Sorry, youngest of them has just started walking.
First: Is it! Youngest of mine is also of the same age.
How old are the three daughters? (12m neg-3)
6)A boy got bored of the class and started walking on a hall which contained 1024 lockers in a row.
He first opened locker 1 and alternatively left one and opened one from thereon. When he reached
the end he turned back and opened the first closed locker and from thereon continued what he did
previously. He did this back and fro method till he opened the last locker.
What is the number of the last locker he opened?
(12m neg-3)
1. One guy (some name) has Rs. 100/- in hand. He has to buy 100 balls. One football costs Rs.
15/, One Cricket ball costs Re. 1/- and one table tennis ball
costs Rs. 0.25 He spend the whole Rs. 100/- to buy the balls. How many of each balls he bought?
Marks: 3
2. There are Brown and Black cows. In five days four black cows and 3 brown cows give as mush
as milk that four brown cows and 5 black cows give in four days. If the black cow gives 10 litres of
milk per day, how many liters of milk the Brown cow will give in one day? Marks: 4
(Numbers are not certain)
3. There are following denominations of money: 1, 2, 5, 10, 20, 50, and 100 paise. Alex has as
twice mony as David, who has as twice as Bindya, who again has as twice money as Charles.
Each has two coins in hand. Which coins Bindya has? Marks: 5
4. Four countries, Armenia, Bangladesh, Cairo and Denmark came in the final of a Judo
championship. There are some conditions like a: If Cairo wins the gold and/or Denmark wins the
bronze b: if Aremania won the gold and/or Bangladesh won the bronze c:.....................
(I'm not sure about these conditions. There were three conditions)
hint: In Judo bronze medal is given to two countries. Marks: 5
5. I don't remember the question Marks: 8
6. There's a camel living in a desert. There is a market 1000 miles away. The camel has 3000
dates for sale. It has to take the date to the market. But for
that dates camel eats one date per mile. How many dates the camel can trade?
Marks: 10
7. There are 8 stamps, 4 Red and 4 Green. There are three logicians also. One moderator sticks
throw stamps each on the forehead of each logician such that each of them can see all the stamps
except those on his forehead and the two in moderator's pocket. Then the moderator asked each
whether he knows the colors of the stamps he wears? Then the answers were:
A: "No" B: "No" C: "No"
A: "No" B: "Yes"
What were the colours of the stamps that B wears?
Placement paper from Nov 7th 2004
1) There r 10 marbles each of 5 diff colors. wot is
the min. num of marbles2 b taken out so dat at least 3
marbles r of same color?
2) U need 2 kill a dragon with 3 heads & 3 tails. u
have a magic sword dat can cut 1 head, 2 heads, 1
tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails r cut -> 1 head grows
if 2 heads r chopped -> nothing grows. What is d min.
num of swings 2 b made?
3) Slow train runs b/w Blore & Mumbai, up as well as
down. It starts at 10:00pm everyday & reaches
destination by 11:30pm after 3 days. If u travel by
Slow train, how many such trains will u encounter
during journey?
4) A num of birds, black & white, r sitting on thhe
tele wire. There is at least 1 bir of each color, also
whenevr 2 birds are seperated by 4 or 7 other boirds
of any color, both birds r of same color. Wot is the
max. num of birds dat can b seated in this fashion?
5) 5 ppl, A, B, C, D, E are supposed 2 cover a certain
distance from their car to a house. There is only 1
umbrela dat can b shared by 2 ppl at a time.
It takes 1min for A 2 cover the dist, B->2 min,
C->5min, D->10min, E->15min.
Wot is d quickest poss time 4 the entire grp 2 get
into the house?
6) Mr.X belongs 2 a grp of 8 ppl including himself. In
d meeting, nobody shakes hands with the same person
more than once but everyone shakes hands with at least
1 person.
After the meeting is over, Mr.X realizes dat all the
other ppl in the party had shook a diff num of hands.
How many hands did Mr.X shake?
7) In a contest 3 probs, A, B, C r given
->25 ppl of the total num of them solved at least 1
prob each.
->Of all the contestants who did not solve A, the num
who solved B was twice the num who solved C.
->num of ppl who solved only A was 1 more than num who
solved A & atleast 1 other prob.
->Of all stud who solved just 1 prob, half didn't
solve A
Labels:
ONMOBILE
Paper 1
One guy has Rs. 100/ in hand. He has to buy 100
balls. One football costs Rs. 15/, One
Cricket ball costs Re. 1/ and one table tennis ball
costs Rs. 0.25 He spend the whole Rs. 100/ to buy the
balls. How many of each balls he bought?
F + C + T = 100eq1
15F + C + 0.25T = 100eq2
eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41
1.Bird and the train:
The distance between Station Atena and Station Barcena
is 90 miles. A train starts from Atena towards
Barcena. A bird starts at the same time from Barcena
straight towards the moving train. On reaching the
train, it instantaneously turns back and returns to
Barcena. The bird makes these journeys from Barcena to
the train and back to Barcena continuously till the
train reaches Barcena. The bird finally returns to
Barcena and rests. Calculate the total distance in
miles the bird travels in the following two cases:
(a) the bird flies at 90 miles per hour and the speed
of the train is 60 miles per hour
there is no need to consider their meeting pt at
all.the train has been running for
90miles/(60miles/hr)=1.5hrs.bird flies till train
reaches destination frm strting pt.so bird flies
for1.5hrs at the vel given(90).so dist=1.5*90=135miles
(b) the bird flies at 60 miles per hour and the speed
of the train is 90 miles per hour
time of train=1hr.so dist of bird=60*1=60miles
2.Tennis Championship
A tennis championship is played on a knockout basis,
i.e., a player is out of the tournament when he loses
a match.
(a) How many players participate in the tournament if
15 matches are totally played?
C u don't need to sum it up.since it's a knock out
only 1 person emerges winner finally.so15+1=16is
answer.becos after15 matches finally we shud've
15losers and 1winner.
(b) How many matches are played in the tournament if
50 players totally participate? > 49.its always
one less thn no of players as per the idea ive given
above.so no need to check okay cos its always
true.ans is 49.
old enough:
Mark:
"When I add 4 times my age 4 years from now to 5
times my age 5 years from now, I get 10 times my
current age. How old will I be 3 years from now?"
Let x= current age
4(x+4)+5(x+5)=10x ;so x=Ò 41 years
3.Gold coins:
A rich merchant had collected many gold coins. He did
not want anybody to know about them. One day, his wife
asked, "How many gold coins do we have?"
After pausing a moment, he replied, "Well! If I divide
the coins into two unequal numbers, then 37 times the
difference between the two numbers equals the
difference between the squares of the two numbers."
The wife looked puzzled. Can you help the merchant's
wife by finding out how many gold Ò
37(xy)=x^2y^2. u no tht x^2y^2=(xy)(x+y).so (xy)
cancels on both sides to give x+y=37.so sum of unequal
halves=37 which is the req answer.
4.Football Matches
A set of football matches is to be organized in a
"roundrobin" fashion, i.e., every participating team
plays a match against every other team once and only
once.
If 21 matches are totally played, how many teams
participated?
Ò ans:7 teams okay.for a match u need 2 teams.suppose
there r totally 'n 'teams.
Now uve to choose 2 teams out of 'n' teams.so answer
=no of such choices=no. of possible combinations. So
we've ans = nC2(ncombination2)=21;solve to get n=7.
Sol: n(n1)/2=21. so n=7.if u don't understand c the
graph below
each team plays no. of matches=no of teams ahead of
it. One bar '|' represents one team.
| | | | | | | 7
6 5 4 3 2 1 0 21
last team is written as 0 matches becos this team has
already played with all other teamshence sum of
matches =6+5+4+3+2+1=21 which is correct only if no of
teams =7
5. Glenn and Jason each have a collection of cricket
balls. Glenn said that if Jason would give him 2 of
his balls they would have an equal number; but, if
Glenn would give Jason 2 of his balls, Jason would
have 2 times as many balls as Glenn. How many balls
does Jason have? Ò 14
1. G+2=j2
2. 2(G2)=J+2.
solve these 2 to get
J=14
6. Monkeys and bananas:
Suppose 8 monkeys take 8 minutes to eat 8 bananas.
(a) How many minutes would it take 3 monkeys to eat 3
bananas?
Sol:each mky takes 8 min to eat a banana
(b) How many monkeys would it take to eat 48 bananas
in 48 minutes
ans:8m=48 m=6
7.Vacation time
It was vacation time, and so I decided to visit my
cousin's home. What a grand time we had! In the
mornings, we both would go for a jog. The evenings
were spent on the tennis court. Tiring as these
activities were, we could manage only one per day,
i.e., either we went for a jog or played tennis each
day. There were days when we felt lazy and stayed home
all day long.
Now, there were 12 mornings when we did nothing, 18
evenings when we stayed at home, and a total of 14
days when we jogged or played tennis. For how many
days did I stay at my cousin's place?
Use sets and venn diagram to solve such questions.a,b
aub,anb etc.
12=tennis+leave
18=jog +leave
so jogtennis=6
again jog+tennis=14.so solve and get
jog=10,leave=8,tennis=4.so tot=22
8.The Carpenter and the Nails
A 31" x 31" square metal plate needs to be fixed by a
carpenter on to a wooden board. The carpenter uses
nails all along the edges of the square such that
there are 32 nails on each side of the square. Each
nail is at the same distance from the neighboring
nails. How many nails does the carpenter use?
Ans= 32*2 + 30*2=124
9.Old Man Wrinkle
Man Wrinkle spent onefourth of his life as a boy,
oneeighth as a youth, and onehalf as an active man.
If Man Wrinkle spent 8 years as an old man, then how
many years did he spend as an active man?
(1/4)y+(1/8)y+(1/2)y =p; where y =tot life time.
yp=8.since p=(14/16)y
we've y=64
active age=32
10 A farmer has C chickens.A sack of feed comes for 9
days.As the feed cost is increasing the
farmer sells some chickens and retains 12 chicken.If
he reduces the feed quantity by 10% .Then
he observesthat the feed comes for 30 days.What is C?
sol:
C chickens can b fed for 9 days.so C chick can eat 1/9
in 1 day.
so 1 chick can eat
(1/9C)in one day.
after his reduction one chick gets to eat only 90% of
wht it used to eat in one day.
so new feed value=0.9*(1/9C)for 1day.but now he has
only 12 chicks.
that means as per new rule feed is suitable for 12
chicks for 30 days.
i.e.
0.9*(1/9C)*12*30=1. solve to get C=36
Ans:36
23. to be 10 min earlier means car has been driven for 10
min less thn usual.
i.e 5 min in fwd jrney and 5min in bwd jrny.normally
car reaches station at 6pm.
today since it has to drive only 5 min less it reaches
at 5:55.since he
strtd to walk at 5pm.hes been walking till 5:55 since
thts wen he sees the car.so 55 min
27.m:n t1:t2
ans:(mt2mt1)/(t1t2).don't remember how this eq is
obtained but its given in lower class
mathematics texts.
38. its not ur mistake tht u don't get this answer.this
question of shak devi is confusing becos of its
grammar.
balls. One football costs Rs. 15/, One
Cricket ball costs Re. 1/ and one table tennis ball
costs Rs. 0.25 He spend the whole Rs. 100/ to buy the
balls. How many of each balls he bought?
F + C + T = 100eq1
15F + C + 0.25T = 100eq2
eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41
1.Bird and the train:
The distance between Station Atena and Station Barcena
is 90 miles. A train starts from Atena towards
Barcena. A bird starts at the same time from Barcena
straight towards the moving train. On reaching the
train, it instantaneously turns back and returns to
Barcena. The bird makes these journeys from Barcena to
the train and back to Barcena continuously till the
train reaches Barcena. The bird finally returns to
Barcena and rests. Calculate the total distance in
miles the bird travels in the following two cases:
(a) the bird flies at 90 miles per hour and the speed
of the train is 60 miles per hour
there is no need to consider their meeting pt at
all.the train has been running for
90miles/(60miles/hr)=1.5hrs.bird flies till train
reaches destination frm strting pt.so bird flies
for1.5hrs at the vel given(90).so dist=1.5*90=135miles
(b) the bird flies at 60 miles per hour and the speed
of the train is 90 miles per hour
time of train=1hr.so dist of bird=60*1=60miles
2.Tennis Championship
A tennis championship is played on a knockout basis,
i.e., a player is out of the tournament when he loses
a match.
(a) How many players participate in the tournament if
15 matches are totally played?
C u don't need to sum it up.since it's a knock out
only 1 person emerges winner finally.so15+1=16is
answer.becos after15 matches finally we shud've
15losers and 1winner.
(b) How many matches are played in the tournament if
50 players totally participate? > 49.its always
one less thn no of players as per the idea ive given
above.so no need to check okay cos its always
true.ans is 49.
old enough:
Mark:
"When I add 4 times my age 4 years from now to 5
times my age 5 years from now, I get 10 times my
current age. How old will I be 3 years from now?"
Let x= current age
4(x+4)+5(x+5)=10x ;so x=Ò 41 years
3.Gold coins:
A rich merchant had collected many gold coins. He did
not want anybody to know about them. One day, his wife
asked, "How many gold coins do we have?"
After pausing a moment, he replied, "Well! If I divide
the coins into two unequal numbers, then 37 times the
difference between the two numbers equals the
difference between the squares of the two numbers."
The wife looked puzzled. Can you help the merchant's
wife by finding out how many gold Ò
37(xy)=x^2y^2. u no tht x^2y^2=(xy)(x+y).so (xy)
cancels on both sides to give x+y=37.so sum of unequal
halves=37 which is the req answer.
4.Football Matches
A set of football matches is to be organized in a
"roundrobin" fashion, i.e., every participating team
plays a match against every other team once and only
once.
If 21 matches are totally played, how many teams
participated?
Ò ans:7 teams okay.for a match u need 2 teams.suppose
there r totally 'n 'teams.
Now uve to choose 2 teams out of 'n' teams.so answer
=no of such choices=no. of possible combinations. So
we've ans = nC2(ncombination2)=21;solve to get n=7.
Sol: n(n1)/2=21. so n=7.if u don't understand c the
graph below
each team plays no. of matches=no of teams ahead of
it. One bar '|' represents one team.
| | | | | | | 7
6 5 4 3 2 1 0 21
last team is written as 0 matches becos this team has
already played with all other teamshence sum of
matches =6+5+4+3+2+1=21 which is correct only if no of
teams =7
5. Glenn and Jason each have a collection of cricket
balls. Glenn said that if Jason would give him 2 of
his balls they would have an equal number; but, if
Glenn would give Jason 2 of his balls, Jason would
have 2 times as many balls as Glenn. How many balls
does Jason have? Ò 14
1. G+2=j2
2. 2(G2)=J+2.
solve these 2 to get
J=14
6. Monkeys and bananas:
Suppose 8 monkeys take 8 minutes to eat 8 bananas.
(a) How many minutes would it take 3 monkeys to eat 3
bananas?
Sol:each mky takes 8 min to eat a banana
(b) How many monkeys would it take to eat 48 bananas
in 48 minutes
ans:8m=48 m=6
7.Vacation time
It was vacation time, and so I decided to visit my
cousin's home. What a grand time we had! In the
mornings, we both would go for a jog. The evenings
were spent on the tennis court. Tiring as these
activities were, we could manage only one per day,
i.e., either we went for a jog or played tennis each
day. There were days when we felt lazy and stayed home
all day long.
Now, there were 12 mornings when we did nothing, 18
evenings when we stayed at home, and a total of 14
days when we jogged or played tennis. For how many
days did I stay at my cousin's place?
Use sets and venn diagram to solve such questions.a,b
aub,anb etc.
12=tennis+leave
18=jog +leave
so jogtennis=6
again jog+tennis=14.so solve and get
jog=10,leave=8,tennis=4.so tot=22
8.The Carpenter and the Nails
A 31" x 31" square metal plate needs to be fixed by a
carpenter on to a wooden board. The carpenter uses
nails all along the edges of the square such that
there are 32 nails on each side of the square. Each
nail is at the same distance from the neighboring
nails. How many nails does the carpenter use?
Ans= 32*2 + 30*2=124
9.Old Man Wrinkle
Man Wrinkle spent onefourth of his life as a boy,
oneeighth as a youth, and onehalf as an active man.
If Man Wrinkle spent 8 years as an old man, then how
many years did he spend as an active man?
(1/4)y+(1/8)y+(1/2)y =p; where y =tot life time.
yp=8.since p=(14/16)y
we've y=64
active age=32
10 A farmer has C chickens.A sack of feed comes for 9
days.As the feed cost is increasing the
farmer sells some chickens and retains 12 chicken.If
he reduces the feed quantity by 10% .Then
he observesthat the feed comes for 30 days.What is C?
sol:
C chickens can b fed for 9 days.so C chick can eat 1/9
in 1 day.
so 1 chick can eat
(1/9C)in one day.
after his reduction one chick gets to eat only 90% of
wht it used to eat in one day.
so new feed value=0.9*(1/9C)for 1day.but now he has
only 12 chicks.
that means as per new rule feed is suitable for 12
chicks for 30 days.
i.e.
0.9*(1/9C)*12*30=1. solve to get C=36
Ans:36
23. to be 10 min earlier means car has been driven for 10
min less thn usual.
i.e 5 min in fwd jrney and 5min in bwd jrny.normally
car reaches station at 6pm.
today since it has to drive only 5 min less it reaches
at 5:55.since he
strtd to walk at 5pm.hes been walking till 5:55 since
thts wen he sees the car.so 55 min
27.m:n t1:t2
ans:(mt2mt1)/(t1t2).don't remember how this eq is
obtained but its given in lower class
mathematics texts.
38. its not ur mistake tht u don't get this answer.this
question of shak devi is confusing becos of its
grammar.
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