• Placement Questions

Placement Papers with Solutions

(#M40000213) MICROSOFT QUESTION Keep an EYE

Suppose you had 8 billiard balls, and one of them was slightly heavier, but the only way to tell was by putting it on a scale against another. What's the fewest number of times you'd have to use the scale to find the heavier ball?

Asked In Microsoft Naveen (14 years ago)

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(#M40000186) GENERAL QUESTION Keep an EYE

An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E and F). The tribe has a taboo against using the same letter twice in the same word. It's never done.

If each different sequence of letters constitues a different word in the language, what is the maximum number of six-letter words that the language can employ?

Asked In general Naveen (14 years ago)

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(#M40000185) GENERAL QUESTION Keep an EYE

If you were to dial any 7 digits on a telephone in random order, what is the probability that you will dial your own phone number?
Assume that your telephone number is 7-digits.

Asked In general Naveen (14 years ago)

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(#M40000690) TCS QUESTION Keep an EYE

The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique product of prime numbers.now what is the smallest number by which 3380 must be divided in order to make it into a perfect square
option
a) 5
b) 4
c) 8
d) 6

Asked In TCS subhash kakani (14 years ago)

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(#M40000679) TCS QUESTION Keep an EYE

By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?

Asked In TCS Deepak Dhanvantri (14 years ago)

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(#M40000674) TCS QUESTION Keep an EYE

Smita was makin 1 design,size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube Then she decided to make hollow cube. Then how many 1*1*1 cubes required to make hollow larger cube

Asked In TCS arun (14 years ago)

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(#M40000677) TCS QUESTION Keep an EYE

a man has age in years equal to his daughters age in months and
daughter age is equals to his grand daughter age in weeks and her age
in weeks total age of 3 members is given 91.find out the mans
age

Asked In TCS arun (14 years ago)

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(#M40000676) TCS QUESTION Keep an EYE

There is a die with 10 faces. It is not known that fair or not. 2
captains want to toss die for batting selection. What is the possible
solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face.
And if first
no. in the sequence is odd then consider it as tail. If it is even
consider it as head.

Asked In TCS arun (14 years ago)

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(#M40000678) TCS QUESTION Plane Keep an EYE

Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 1
b) 3
c) 4
d) 0

Asked In TCS Garvit Mehrotra (14 years ago)

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(#M40000675) TCS QUESTION Keep an EYE

A lady took out jacket and gloves, which are available in blue 16,yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What is the possibility that she will pick up pair of gloves of each color?

Solution

(16c2 + 40c2 + 36c2)/92c2
This answer is given by MUKESH RANJAN MALLICK and is correct answer

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Asked In TCS arun (14 years ago)

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(#M40000673) TCS QUESTION Keep an EYE

It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

Solution

Consider the worst case. Remember you can have either pair of red or pair of blue socks. In 1st pick i get red, 2nd pick i get blue( I can also get red but you need to consider worst case).3rd pick if you get any color you have a pair. So ans is 3 picks.
This answer is given by SUCHANDRA RAAVI and is the correct answer

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Asked In TCS arun (14 years ago)

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(#M40000672) TCS QUESTION Keep an EYE

Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color.

Asked In TCS arun (14 years ago)

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(#M40000671) TCS QUESTION Keep an EYE

A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select?

Asked In TCS arun (14 years ago)

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(#M40000448) TCS QUESTION Keep an EYE

given a collection of points P in a 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 others lie on other side. the no. of 1-set of P is denoted by n1(P). the maximum value of n1(P) over all configurations P of 10 points in the plane is?
a) 5
b) 3
c) 9
d) 10

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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Asked In TCS Manikanta (14 years ago)

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(#M40000218) MICROSOFT QUESTION Keep an EYE

One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?

Asked In Microsoft Naveen (14 years ago)

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(#M40000669) TCS QUESTION Keep an EYE

A man has age in years equal to his daughters age in months and daughter age is equals to his grand daughter age in weeks and her age in weeks total age of 3 members is given 91.find out the mans age.

Asked In TCS arun (14 years ago)

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(#M40000668) TCS QUESTION Keep an EYE

a man has age in years equal to his daughters age in months and
daughter age is equals to his grand daughter age in weeks and her age
in weeks total age of 3 members is given 91.find out the mans
age

Solution

let the age of man (in years) = x
age of daughter = x (in months) = x/12 years
age of grand daughter = x/12 (in weeks) = x/(12*52) years
now x + x/12 + x/(12*52) = 91
on solving we will get x = 83.876 years = 84 years (approx)
so age of man = 84, that of daughter = 84/12 = 7 years
and that of grand daughter = 7 weeks (approx 0 years)

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Asked In TCS arun (14 years ago)

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(#M40000667) TCS QUESTION Keep an EYE

The pace length P is the distance between the rear of two consecutive footprints. For men formula n/P = 144 gives approximate relationship between n and P where, n = number of steps per minute and P = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
a) 8.78
b) 236.16
c) 23.238
d) 11.39

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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Asked In TCS arun (14 years ago)

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(#M40000666) TCS QUESTION Keep an EYE

Alok and Bhanu play the following min-max game. Given the expression
N = 9 +X + Y - Z
where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
option
a) 9
b) -18
c) 2
d) 20

Solution

First Read the question carefully, According to the given question all the numbers will be decided by alok and first 2 would be put by bhanu whereas alok will put the 3rd one.
So for getting maximum alok will tell 7 as the first Number
two cases arise
1) if bhanu will put this number as Z then 9, 9 will be the next 2 number. and 9+x+y-z = 20
2) if bhanu will put this number X, then alok will tell 4 or 5 as next number.
if bhanu will put 4 or 5 as Z then alok will put 9 as Y. So N will be
9+x+y-z= 9+7+9-4 = 21 OR 9+7+9-5 = 20

IF bhanu will put 4 or 5 as Y then alok will put 0 as Z
9+x+y-z = 9+7+4-0 = 20 OR 9+7+5-0 = 21

So if both are playing with there best effort then 9+x+y-z will be 20

20 is the correct answer

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Asked In TCS arun (14 years ago)

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(#M40000665) TCS QUESTION Keep an EYE

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
option
(a) 1 hour
(b) 2 hours
(c) 3 hours
(d) 4 hours

Solution

suppose avg speed of aircraft is v km/hr,and it takes t hr to trip 600 km.
then t=600/v.......(1)
now avg speed slowed down by 200 km/hr and it takes 30 more minutes that means now it takes t+30/60=t+1/2 hr and speed is v-200
now time=distance/speed=>t+1/2=600/(v-200)
2t+1=1200/(v-200)
(2t+1)(v-200)=1200
(2t+1)((600/t)-200))=1200 from (1)
on solving it t= -3/2 or 1
time cant be -ve,hence answer is 1 hr.
This answer is given by MOHD ANAS and is correct answer

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Asked In TCS pradeep (14 years ago)

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(#M40000664) TCS QUESTION Keep an EYE

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
option
(a) 1 hour
(b) 2 hours
(c) 3 hours
(d) 4 hours

Asked In TCS pradeep (14 years ago)

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(#M40000663) TCS QUESTION Keep an EYE

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
option
(a) 1 hour
(b) 2 hours
(c) 3 hours
(d) 4 hours

Solution

suppose avg speed of aircraft is v km/hr,and it takes t hr to trip 600 km.
then t=600/v.......(1)
now avg speed slowed down by 200 km/hr and it takes 30 more minutes that means now it takes t+30/60=t+1/2 hr and speed is v-200
now time=distance/speed=>t+1/2=600/(v-200)
2t+1=1200/(v-200)
(2t+1)(v-200)=1200
(2t+1)((600/t)-200))=1200 from (1)
on solving it t= -3/2 or 1
time cant be -ve,hence answer is 1 hr.
This answer is given by MOHD ANAS and is correct answer

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Asked In TCS pradeep (14 years ago)

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(#M40000662) TCS QUESTION Keep an EYE

Anoop managed to draw seven circles of equal radii with their centers on the diagonal of a square such that two extreme circles touch two sides of the square & each middle circle touches two circles on the either side.Find the ratio of the circles to the sides of the square.
a)1:(2+7*sqrt(2))
b)1:(2+6*sqrt(2))
c)(2+7*sqrt(2)):1
d)1:(4+7*sqrt(3))

Asked In TCS pradeep (14 years ago)

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(#M40000661) TCS QUESTION Alok and bhanu Keep an EYE

Alok and Bhanu play the following min-max game. Given the expression
N = 12 + X*(Y - Z)
where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
1) 93
2 30
3) 12
4) -69

Asked In TCS (14 years ago)

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(#M40000660) TCS QUESTION permutations Keep an EYE

In the reading room of a library,there are 10 tables,4 chairs per table.In each table there are different numbers of people seated.How many ways they will sit in the library so that no chair will be blank?

Asked In TCS Srinivasa Rao (14 years ago)

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(#M40000555) INFOSYS QUESTION five-digit number puzzle Keep an EYE

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 number? (6 marks)

Asked In Infosys Aditi Sharma (14 years ago)

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(#M40000575) IBM QUESTION IBM maths puzzle Keep an EYE

In a square, all the mid points are joined. The inner square is shaded. If the area of the square is A, what is the area of the shaded area?

Asked In IBM Aditi Sharma (14 years ago)

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(#M40000574) IBM QUESTION Keep an EYE

A square plate of some size is cut at four corners. Equal squares of the same size are cut and is formed as open box. If this open box carries 128 ml of oil. What is the size of the side of the plate?

(a) 17
(b) 14
(c) 13
(d) None of these

Asked In IBM Aditi Sharma (14 years ago)

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(#M40000613) TCS QUESTION Keep an EYE

A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?
(a) 1700
(b) 1000
(c) 3000
(d) 2700

Asked In TCS Sumandeep Ghosh (14 years ago)

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(#M40000615) TCS QUESTION Keep an EYE

A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?
(a) Rs.800
(b) Rs.600
(c) Rs.200
(d) Rs.700

Asked In TCS Sumandeep Ghosh (14 years ago)

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