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Frequently Asked Interview Questions and Answers

(#M40000791) INFOSYS QUESTION Keep an EYE

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

Asked In Infosys Yashar (14 years ago)

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(#M40000808) 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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(#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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(#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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(#M40000557) INFOSYS QUESTION language puzzle Keep an EYE

B and C initially speak English but when D joined Spanish they too took up Spanish. The only common language between A, B and E is French. The only common language between C and E is Italian. Three people speak Portuguese. Most common language is Spanish. One person knows all the 5 language, one person knows 4 languages, one person knows 3 languages, one person knows 2 languages and one person knows only one language.

Asked In Infosys Aditi Sharma (14 years ago)

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(#M40000645) TCS QUESTION 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
option
a) 1
b) 3
c) 4
d) 0

Solution

Answer will be (c)
There will be four points satisfying the given condition
one point will be incentre of the circle and other three will be excentres


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Asked In TCS (14 years ago)

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(#M40000604) TCS 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 minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is
a) 3
b) 5
c) 2
d) 8

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 Sumandeep Ghosh (14 years ago)

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(#M40000371) A WEBSITE QUESTION How many fruits? Keep an EYE

Q. One day I went to the market to buy apples. A vendor had a basket full of apples. When asked for the number of apples in the basket, the vendor replied that

if arranged in 2s the remainder = 1
if arranged in 3s the remainder = 2
if arranged in 4s the remainder = 3
if arranged in 5s the remainder = 4
if arranged in 6s the remainder = 5
if arranged in 7s the remainder = 0

How many apples were there in the basket?

Asked In A website Saranya Kumar (15 years ago)

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(#M40000123) INFOSYS QUESTION Keep an EYE

One person went to market to purchase three varieties of chocolates. He had purchased 20 items with 20 cents. Fudges are available at 4 cents each, chaco bars are available at 4 for a penny and gum pints are available at 2 a penny. How many of each item he had purchased.

Asked In Infosys Naveen (15 years ago)

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(#M40000134) INFOSYS QUESTION Keep an EYE

There are some students in a school.The 1/2 of number of students is a whole number. The 1/6 of number of students is a whole number. The 1/5 of number of students is a whole number. The 1/7 of number of students is a whole number.Find the number of students.

Asked In Infosys Naveen (15 years ago)

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