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(#M40001544) TCS QUESTION question Keep an EYE

- A man whose age is 45 yrs has 3 sons named John, Jill, jack. He
went to a park weekly twice. He loves his sons very much. On a certain
day he found the shop keepers selling different things. An apple cost
1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought
equal number of apple, chocolate & banana for each son. If the total
amount he invest is 7 penny then how many he has bought from each piece
for his son?

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(#M40001543) TCS QUESTION latest question Keep an EYE

If there are 30 cans out of them one is poisoned if a person tastes
very little he will die within 14 hours so if there are mice to test and
24 hours to test, how many mices are required to find the poisoned can?

Solution

If mouse would die exactly after 14 hrs then definitely 1 will be the answer but here the given condition says that mouse will die within 14 hrs.
so this question will be solved by set theory.
answer is following
total beer bottles = 6
drinking strategy
bottle1 : mouse1
bottle2 : mouse2
bottle3 : mouse3
bottle4 : mouse1 and mouse2
bottle5 : mouse2 and mouse3
bottle6 : mouse3 and mouse1
on the basis of death of mice set we can decide the poisoned bottle

in this question upto 2 bottle answer will be 1 because 2^1 = 2
similarly upto 4 bottles answer will be 2 because 2^2 = 4
for upto 8,16,32,64,128 bottles answer will be 3,4,5,6,7

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(#M40001542) TCS QUESTION latest question Keep an EYE

- If a and b are mixed in 3:5 ration and b and c are mixed in 8:5
ration if the final mixture is 35 liters, find the amount of b?

Solution

a:b=3:5=3*8:5*8=24:40
b:c=8:5=8*5:5*5=40:25
therefore a:b:c=24:40:25
now amount of b is=35*40/(24+40+25)=15.73
this answer is given by SUBHENDU BIKASH ROY and is correct answer

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(#M40001541) TCS QUESTION latest question Keep an EYE

In T.Nagar the building were numbered from 1 to 100.Then how many
4’s will be present in the numbers?

Solution

4, 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84, 94
total 20 times 4 is there


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(#M40001540) TCS QUESTION latest question Keep an EYE

amrith told to Anand in front of a Photo that "He is the son of my
father's son".Find who is in the picture if amrith have no brothers and
sisters.

Solution

amrith's son
since amrith has no brother and sister so he is the only son of his father. therefore "son of his father's son " is his son.
This answer is given by RITU PANDEY and is the correct answer

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(#M40001539) TCS QUESTION latest question Keep an EYE

There 10 programers, type 10 lines with in 10 minutes then 60lines can
type within 60 minutes. How many programmers are needed?

Solution

10 lines 10 minutes 10 programmers
1 line 10 minutes 1 programmer
60 lines 10 minutes 60 programmers
60 lines 60 minutes 10 programmers answer


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(#M40001538) TCS QUESTION latest question Keep an EYE

3 persons A, B, C were there. A always says truth, B lies on monday, tuesday and wednesday but C lies on thrusday, friday & saturday. one day A said that B & C said to A, that B said yesterday was one of the days when I lies. C said that yesterday was one of the days when I lies too then which day was that?
a) Sunday
b) Thursday
c) Saturday
d) Tuesday

Solution

If today is Monday, Yesterday was Sunday. Now B should lie on monday so Sunday was NOT one of the days he lies on...Correct. And C shouldn't lie on monday so sunday was one of the days he lies on....Incorrect. So it's not Monday.

If today is Tuesday, Yesterday was Monday. Now B should lie on Tuesday so Monday was NOT one of the days he lies on...Incorrect. So it's not Tuesday.

If today is Weds, Yesterday was Tue. Now B should lie on Weds so Tues was NOT one of the days he lies on...Incorrect. So it's not Weds.

If today is Thurs, yesterday was Weds. Now B should NOT lie on Thurs so Weds was one of the days he lies on....Correct. And C should lie on Thurs so Weds was NOT one of the days he lies on...Correct. So It's THURSDAY.

If today is Fri, yesterday was Thurs. Now B should NOT lie on Fri so Thursday was one of the days he lies on...Incorrect. So It's Not Friday

If today is Sat, yeterday was Fri. Now B should NOT lie on Sat so Fri was was one of the days he lies on...Incorrect. So it's Not Saturday.

If today is Sun, yesterday was Sat. Now B should NOT lie on Sun so Sat was one of the days he lies on...Incorrect. So it's NOT Sunday.

Answer: It was on a Thurday
This answer is given by SUSHIL and is correct answer

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(#M40001537) TCS QUESTION latest question Keep an EYE

Which is the smallest no which divides 2880 and gives a perfect
square?
a) 4 b) 9 c) 3 d) 5

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(#M40001536) TCS QUESTION latest question Keep an EYE

How many of 14 digit numbers we can make with 1,2,3,4,5 that are
divisible by 4. Repetitions allowed.

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(#M40001535) TCS QUESTION latest question Keep an EYE

Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of
the cake. One friend suggests that they have a blindfold friend choose
from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10

Solution

the best solution will be 7, and there will be total 6 cases for this choice (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
but this one is not in the choices so out of the 4 choices givem 8 will be the best choice. For this choice there are 5 methods (2,6), (3,5), (4,4), (5,3), (6,2)
similarly for 9 there are 4 choices (3,6), (4,5), (5,4), (6,3)
for 10 there are 3 choices (4,6), (5,5), (4,6)
Answer is (a)


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(#M40001534) TCS QUESTION latest Keep an EYE

The citizens of planet nigiet are 8 fingered and have thus
developed their decimal system in base 8. A certain street in nigiet
contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are
used in numbering these buildings?

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(#M40001533) TCS QUESTION latest question Keep an EYE

36 people {a1, a2, ..., a36} meet and shake hands in a circular
fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is.

Solution

Answer 12 is correct.
because if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required to make shake hand with rest of the people complete

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(#M40001532) TCS QUESTION latest Keep an EYE

36 people {a1, a2, ..., a36} meet and shake hands in a circular
fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is.

Solution

Answer 12 is correct.
because if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required to make shake hand with rest of the people complete

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(#M40001531) TCS QUESTION latest Keep an EYE

- A circular dartboard of radius 1 foot is at a distance of 20 feet
from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the
probability that Q is closer to the center of the circle than the
periphery?

Solution

Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area
Answer of DIPIN is correct
area of whole circle = pi*(1 foot)^2 = pi (this is according to formula area = pi*(radius)^2
similarly area of inner circle = pi*(1/2foot)^2 = pi/4
so ratio of areas of these two circles will be the probability and that is 1/4


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(#M40001530) TCS QUESTION latest Keep an EYE

On planet zorba, a solar blast has melted the ice caps on its
equator. 8 years after the ice melts, tiny plantoids called echina start
growing on the rocks. echina grows in the form of a circle and the
relationship between the diameter of this circle and the age of echina
is given by the formula
d = 4 * sqrt (t – 8)for t = 8
Where the represents the diameter in mm and t the number of years since
the solar blast.
Jagan recorded the time of some echina at a particular spot is 24 years
then what is diameter?

Asked In TCS Aashu (14 years ago)

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(#M40001529) TCS QUESTION latest Keep an EYE

- A and B play a game of dice between them. The dice consist of colors
on their faces (instead of numbers). When the dice are thrown, A wins if
both show the same color; otherwise B wins. One die has 4 red face and 2
blue faces. How many red and blue faces should the other die have if the
both players have the same chances of winning?

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(#M40001528) TCS QUESTION latest question Keep an EYE

There are two boxes, one containing 10 red balls and the other
containing 10 green balls. You are allowed to move the balls between the
boxes so that when you choose a box at random and a ball at random from
the chosen box, the probability of getting a red ball is maximized. This
maximum probability is

Solution

14/19

To maximise probability of red ball,
Move 9 red balls in other box such that one box contains 1 red ball and other box contains 9 red and 10 green balls,

then

probability of getting red ball = 1/2 *1 + 1/2*9/19 = 1/2+9/38= 28/38=14/19
This is the answer given by DIPIN and is the correct answer

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(#M40001527) TCS QUESTION latest puzzle Keep an EYE

-After the typist writes 12 letters and addresses 12 envelopes, she
inserts the letters randomly into the envelopes (1 letter per envelope).
What is the probability that exactly 1 letter is inserted in an improper
envelope?

Asked In TCS Aashu (14 years ago)

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(#M40001526) TCS QUESTION latest question Keep an EYE

For the FIFA world cup, Paul the octopus has been predicting the
winner of each match with amazing success. It is rumored that in a match
between 2 teams A and B, Paul picks A with the same probability as A's
chances of winning. Let's assume such rumors to be true and that in a
match between Ghana and Bolivia, Ghana the stronger team has a
probability of 2/3 of winning the game. What is the probability that
Paul will correctly pick the winner of the Ghana-Bolivia game?

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(#M40001525) TCS QUESTION latest Keep an EYE

6 persons standing in queue with different age group, after two years
their average age will be 43 and seventh person joined with them. Hence
the current average age has become 45. Find the age of seventh person?

Solution

let the total age of 6 people be x yrs
after 2 yrs it becomes (x+12)
therefore; (x+12)/6=43
=>x= 246
again; (246+ 7th person's age)/7=45
=>7th person's age = 69 yrs
This answer is given by SOUMYA BRAHMA and is correct answer

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(#M40001524) TCS QUESTION latest puzzle Keep an EYE

There are two water tanks A and B, A is much smaller than B. While
water fills at the rate of 1 liter every hour in A, it gets filled up
like , 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10
liters, second hour it has 20 liters and so on). If tank B is 1/32
filled of the 21 hours, what is total duration of hours required to fill
it completely?

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(#M40001523) TCS QUESTION latest Keep an EYE

The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? Express result in terms of base 10.
a) 54 b) 64 c) 75 d) 100

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(#M40001522) TCS QUESTION latest Keep an EYE

One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

a]Thursday
b]Tuesday
c]Sunday
d]Monday

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(#M40001521) TCS QUESTION latest puzzle Keep an EYE

A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a)50 b)8 c)60 d)42

Solution

It is not given that how many of these items are gloves and how many are hats, if we consider that all the items are gloves then according to my opinion 32+25+2 = 59 gloves, she must take out to make sure she has a pair of each color. But closest option is 60 so it will be the answer

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(#M40001520) TCS QUESTION latest Keep an EYE

10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
A only
B only
Neither A nor B
Both A and B

Solution

if first is victim then all suspects are lying. here you should remember that the rightmost person is not questioned.
If any of the person leaving leftmost is victim then the leftmost suspect is innocent. but "and" should not be used between the conditions because leftmost is not innocent necessarily.
Hence A only will be the answer


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(#M40001519) TCS QUESTION latest question Keep an EYE

A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
800
500
488
900

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(#M40001518) TCS QUESTION latest question Keep an EYE

The pacelength P is the distance between the rear of two consecutive footprints. For men the formula n/P=144 gives approximate relationship between n and P, where n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
23.24
11.39
8.78
236.16

Solution

n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm.
Number of steps in one minute = 144*1.64
Distance travelled in 1 minute = 144*1.64*1.64 mtrs
Distance travelled in one hr = 144*1.64*1.64*60/1000 km = 23.24 km approx
This answer is given by DIPIN and is the correct answer


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(#M40001517) TCS QUESTION latesat question Keep an EYE

.Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.The diameter of the coins should be at least 64mm and not exceed 512mm.
Given a coin, the diameter of the next larger coin is at least 50% greater.
The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
5
9
6
8

Solution

64mm.........1st coin
64+32=96.....2nd coin
96+48=144....3rd coin
144+72=216...4th coin
216+108=324..5th coin
324+162=486..6th coin
486+50%of 486 exceeds 512
so 6 coins can be designed
This answer is given by SAPTARSHI GHOSH

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(#M40001516) TCS QUESTION latest question Keep an EYE

Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 9 points in the plane is
a.10
b.9
c.3
d.5

Solution

The meaning of this question is little complicated. In easy language the question should be:


There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points are in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice)

Now Answer Is:

For Maximize: The number of methods, Points should be drawn in the circumference of the CIRCLE So answer would be the number of total point in the plane.

For minimize: The number of methods we should draw 3 points in a TRIANGLE and all other point inside this triangle in such a way that no 3 points could be in a line.

If it will be allowed to draw the points in a line then minimum possibilities will be 2 only, because if we take all points in a line then you can separate only the corner points from the others.

For example
If we have 10 points then maximum possibilities = 10
and minimum = 3

similarly for 5 points
Max = 5, Min = 3

for 19
max= 19 Min = 3


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(#M40001515) TCS QUESTION latest question Keep an EYE

On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 9:40 am.
a.251
b.111
c.29
d.89

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