Brain Teaser

Insert mathematical functions to convert the 3 numbers on the left
side of the equation to equal 6. I filled in the 2's (using the addition function twice)
for you to get you started.

1 1 1 = 6
2 + 2 + 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6



Answer :

(1 + 1 + 1)! = 6

2 + 2 + 2 = 6

(3 * 3) - 3 = 6

sqrt(4) + sqrt(4) + sqrt(4) = 6

5 + (5 / 5) = 6

6 + 6 - 6 = 6

7 - (7 / 7) = 6

8 - sqrt(sqrt(8+8)) = 6

(sqrt(9) * sqrt(9)) - sqrt(9) = 6

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Brain Teaser No : 2

Someone at a party introduces you to your mother's only sister's
husband's only sister-in-law. She has no brothers.
What do you call this lady?


Answer:

Mother or Mom

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Brain Teaser No :3

There is a man who is looking at a picture. He is the only son in the family and
his dad has no siblings. He says, "This person's father is my father's son".
Who is this person in the picture?

Answer:

The person in the picture is his CHILD. He is saying that "this person's father,
is my father's son." Now, my father's son is himself as he is the only son in the
family. And he is the father of the person in picture. Hence the person in
picture is his son or daughter.

Infosys Questions(3)

  1. Lusie age is between 54-70.she has sons and each sons has sons as many brothers they have. The combined number of sons and grandsons give lusie's age ? how old is she ?
  2. A pigeon sitting on a cathedral tower of height 200m. another pigeon sitting on another tower of height of 150 m. the distance between the two towers is 250. in ground. there are some grains, the birds fly at same speed, and at same instance and reaches the ground and start to eat grains. how far is the grain in the ground level from cathedral tower.
  3. on a field, 50 cows were put for fed, which can last grass in 30 days. If 30 cows were put, they can empty the field in 60 days. How many days 60 cows will take to last the grass ?
  4. Here is a five digit number.the fifth one is half of fourth digit,there must be two primes ( 1 not considered as prime)the second digit is lowest digitthe third digit is highest.1'st digit greater than sum of last two digit
  5. 4 players were playing a card game.Cards had different colours on both sides. Neither of cards has same colour on both sides. Colours were 2 Red,2 Blue,2 Green, 2 yellow.Cards were lying in front of each player.Now ,each playere knew the colour on other side of card. They are required to tell their colour.Statement given by each of them areAnnie: Blue or greenBobby: Neither Blue nor GreenCindy:Blue or YellowDainny:Blue or yellowColour of cards that are visible to all were Red,'Yellow,Green, Blue in order of names.Exactly two of them are telling truth and exactly two of them are telling are lieing ? can you tell the colour on other face of card for each player ( 8 marks )
  6. A software enginner starts his walking at 3 PM from point A, he walks at the rate of 4km/hr in plains and 3km/hr in hill to reach the point B.During his return journey, he walks at the rate of 6km/hr in hill and 4km/hr in plains and reaches point A at 9.P.M. what is the distance between A and B ?
  7. XXXYYYZZZ------------YXXZ------------What is the value of X, Y,Z ?
  8. A 1 k.m long wire is held by n poles. if one pole is removed, the length of gap is increased by 5/3 meters. What is the number of poles initially.
  9. Andrew beat jim, Davis,elite lost to jim, jack was beaten by jim. Jim beats davis. elite is not last. (sorry i forgot exact order )
  10. One 8 mark question based on language they speak. There are four persons. Each persons speaking only two language conditions:nobody speak both German and France. William donno English but he act as interpreter b/w Jacob and Jim Jacob know German and some conditions ......we have to answer what the two languages they speak ?Jacob William Jim Andrew


answers

1)64 condition given : Lusie age should fall between 54-70suppose if she has 8 sons .

each son has 7 brother

each sons has 7 sons (condition given :as many brothers they have)

8 sons having 56 sons adding 56 + 8 =64

2) 90

3) actually I got 120 for the given data.I forgot the figures, but i give u the step how to calculate

g-grass at the beginning r - rate at which grass grows,per day y-rate at whichone

cow eats grass, per day n - no of cows to eat the grass in 90 days

formula: g+d*r=n*d*y ( I got this from old infosys paper)

g + 30*r = 50 * 30 * y -->(1)

g + 60*r = 30 * 60 * y--->(2)

g + d*r = 60 * d * y --->(3)

frm (1)

g=1500y-30r

substitute g in (2)

1500y-30r+60r=1800y

30r=300y

r=10y

substitute y in (3)

1500y-300y+10dy=60dy

1200y=50dy

d=240 days

4) 71842


5) yellow (lie)yellow (true)blue (true)green (lie)

6) 12 K.M

T1 + T2=6 (3 to 9.p.m)

T1-time during forward journey

T2-time during return journey

D1+D2-forwared/Return distance

D1/4+D1/3 =T1 (forward time)

D1/4+D2/6 =T2 (return time)

Adding we will get D1+D2=12 km

7) x=9 y=1,z=8(i tried by assuming y=1 or y=2,(y-carry) i easily got)

8) 26 poles solution:

if n poles

(n-1) gaps of each 1000/(n-1) width

if n-1 poles

(n-2) gaps of each 1000/(n-2) width

so

1000/(n-2) -1000/(n-1)=5/3

1000(1/(n-2) -1/(n-1))=5/3

1000(1/(n-1)(n-2))=5/3

(n-1)(n-2)=(3/5)*1000=600

as 600=25*24so number of poles should be 26

9) andrew

10) easy analytical u can solve it.

Infosys Questions(2)

  1. There is a circle race going on. One of them says,”1/3 of those in front of me and ¾ of those behind me, give the total number of children in the race”. Then the number of children took part in the race?
    Ans : 12
  2. In an Isalnd the natives lie and visitors speak truth. A man wants to whether a salesman beside him in a bar is a native or visitor. He asked him to ask a woman beside him whether she is a native or visitor. He replied that she says “she is a visitor”. Whether the salesman is a native or visitor?
    Ans : Visitor ( not sure )
  3. A man fixed an appointment to meet Mr.X, X asked him to meet two days after the day before the after tomorrow. Today is Friday. What is the appointed day.
    Ans: Tuesday.
  4. A jewel problem, with some conditions and it is quite easy to solve.
  5. A man said he spent 1/6 of his as a child, 1/12 as salesman in a liquor shop, 1/7 and 5 years as a politician and a good husband respectively. At that time Jim was born. Jim was elected as Alderman four years back. When he was half of his age. What is his age.
    Ans: 86
  6. Jack,Droug and Ann, 3 children had a race when returning from school. Ann takes 28 steps when Droug takes 24 steps, meantime Jack takes 21 steps. Jack explained that his 6 steps equals Droug’s 7 steps and Ann’s 8 steps. Who won the race?
    Ans: Droug
  7. Every day a cyclist meets a car at the station. The road is straight and both are traveling in the same direction. The cyclist travels with a speed of 12 Kmph. One day the cyclist comes late by 20 min. and meets the car 5km before the Station. What is the speed of the car?
    Ans: 60 kmph
  8. A problem of persons and profession. Quite easy one.
  9. A lady goes for shopping. She bought some shoestrings. 4 times the number of shoestrings, she bought pins and 8 times, handkerchiefs. She paid each item with their count as each piece’s cost. She totally spent Rs. 3.24. How many handkerchiefs did she buy?
    Ans : 16
    10. Complete the series:s
    a) 3,6,13,26,33,66,____
    b) 364,361,19,16,4,1,___
    Ans : a) 73 b) 1 or -1

Infosys Aptitude Questions

  1. There is a merry-go-round race going on. One person says,"1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race? (repeated from previous papers)
    Ans : 13

    [ Assume there are x participants in the race.In a round race,no: of participants in front of a person wil b x-1 an that behind him wil b x-1. i.e, 1/3(x-1) + 3/4(x-1) = x ; solving x = 13 ]
  2. In an Island the natives lie and visitors speak truth. A man wants to know whether a salesman beside him in a bar is a native or visitor. He asked him to ask a woman beside him whether she is a native or visitor. He replied "she says she is a visitor". Then he knew that the salesman is a native or visitor. salesman is in which category , native or visitor?

    Ans : Native (not sure)

    [ Draw table and see ]
  3. A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him? (repeated from previous papers)

    Ans: Monday
    [Don't confuse it with Tuesday.the correct answer is Monday]
  4. A jem merchant wants to exhibit his 7 precious jewels in an exhibition, Amethist, Diamond, Ruby, Opel ,G, Sapphire and Emarald.He shows either through the left window or through the right window.At a time he shows only 3 out of his 7 jewels he had. some conditions where given like
    (i) A should be shown only through the left window.
    (ii) D should be shown only through the right window
    (iii) E and S ahould be shown together
    (iv) R should not be shown though the same window as O or G
    (v) Some more conditions...I 4got the remaining..
    4 questions where asked on this and 4 options where given like..
    [A] Which among the following sets are possibly shown through the left window?
    4 options like {a} A,D,G {b} D,O,R {c} A,G,R {d} A,S,E
    [B] Which of the following should be shown through the right window if E is shown through the right window?
    4 options..
    [C] and [D] questions where also there.
    It was an easy question. (repeated from previous papers)
  5. A man said he spent 1/6 of his as a child, 1/12 as salesman in a liquor shop, 1/7 and 5 years as a politician and a good husband respectively. At that time Jim was born. Jim was elected as Alderman four years back.when he was half of his age. What is his age? (repeated from previous papers)

    Ans: 84 years

    [Assume that he lived x years.
    X/6 + x/12 + x/7 + 5 + 4 + x/2 = x. Solving x= 84 ]
  6. Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race.Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race? (repeated from previous papers)

    Ans: Doug

    [ Ann steps = 8,16,24,28 --- finished by 3 & half full steps
    Doug steps=7,14,21,24 --- finished before 3 & half full steps
    Jack steps= 6,12,18,21 --- finished by 3 & half full steps
    So Doug won the race ]
  7. Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.
    One day the cyclist comes late by 20 min. and meets the car 5miles before the
    Station. What is the speed of the car?

    Ans: 60 mph

  8. A problem of persons and profession. 4 persons were there- Jack, Clove, Smith, Morgan belongs to 4 professions policeman ,Druggist ,Grocer ,Butcher.Who all belongs to which profession?Some conditions where given like..
    (i) Clove and Jones drive together to work
    (ii) Clove earns more income than Morgan...I 4got the conditions..

    Clove :
    Jones :
    Morgan :
    Smith :
  9. A lady goes for shopping. She bought some shoestrings. 4 times the number of shoestrings, she bought pins and 8 times, handkerchiefs. She paid each item with their count as each piece's cost. She totally spent Rs. 3.24. How many handkerchiefs did she buy? (repeated from previous papers)
  10. Complete the series :

    a) 3,6,13,26,33,66,____(repeated from previous papers)
    b) 364,361,19,16,4,1,___( " " " )

    Ans : a) 63
    b) 1