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(Puzzles) Latest Infosys Puzzles (10)

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Puzzles : Latest Infosys Puzzles

251. Complete the series:
5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

252) A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.
Finally how far he is from his camp and in which direction.

Ans: Distance travelled in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
Similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
Add both the answers

253) How can 1000000000 be written as a product of two factors neither of them containing zeros
Ans: 2 power 9 x 5 power 9

254) Conversation between two mathematcians:
First : I have three childern. The product of their ages is 36.
If you sum their ages, it is exactly same as my neighbour's door number on my left.
The second mathematician verfies the door number and says that it is not sufficient.
Then the first says " Ok one more clue is that my youngest is really the youngest". Immmediately the second mathematician answers . Can you answer the question asked by the first mathematician?
What are the childeren ages? Ans 1,6 and 6

255) Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384

256) 500 men are arranged in an array of 10 rows and 50 columns according to their heights.
Tallest among each row of all are asked to fall out.
And the shortest among them is A.
Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out.
And the tallest among them is B .
Now who is taller among A and B ?
Ans A

257) A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.
He is left with Rs 100/- . How much did he have with him in the begining ?
Ans: Rs 250/-

258) There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour.
Some boxes contain only red balls and others contain only blue.One sales man sold one box
out of them and then he says " I have the same number of red balls left out as that of blue ".
Which box is the one he solds out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30

260) Grass in lawn grows equally thick and in a uniform rate.
It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days.?
Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.

261)There r some bees in a garden..1/5th of them went to a particular flower,1/3rd went to another flower,3 times the difference of the above two went to third flower..n one was remaining n it was roaming
around..how many bees were there? (3 marks)
Ans:15

262)there was a community in which there were 1000 couples.In that
2/3rd of men who r taller r also heavier n 3/4th of the men who r
heavier r also taller n there were 120 women who were both heavier n
taller than men.So how many men r both taller n heavier than men?

263)A man drives with constant speed..n he after some time he sees a
milestone with 2-digits..then he travels for an hr n sees the same 2
digits in reverse order..n then after an hr he sees that the
milestone has the same 2 digits with a 0 between them..so whats the
man speed?
Ans:45km/hr

264)There were 2 systems A n B.14 degrees in A is equivalent to 36 in
system B.and 133 in A is equivalent to 87 in B.now what is the
temperature where they both r equal?
Ans:51.25 (conversion A=(7/3)B-70)

265) X Y Z X Y Z
A B + A B -
------------ -------------
C D E F B G A

find X,Y,Z,G

266)A women buys some shoestrips n then 4 times of that she buys
packet pins n then 8 times of shoestrips she buys handkerchiefs..n
she has a bill of Rs3.24..n she pays for each article as many paise
as there r articles(of tht particular item).Now whats the number of
handkerchiefs?
Ans:16

267)Ms.Anitha got her salary n she spent half of it in shopping n gave
1RS to a beggar.After that 1/2 of the remaining money she spends in
a hotel n she gives Rs.2/- as a tip to waiter.n then 1/2 of the
remaining she spends again n she gives 3 RS as charity..n after that
finally she is left with Rs 1/- when she comes out.Whats the actual
money she had?
Rs 42/- (3 marks)

268. A person is cycling in a circular track.At some point he notices
that 1/5 of people in front of him and 5/6 of people together
condtitute the total no. of cyclists.Find the total no. of cyclists.
Ans:31

269.Trains leave from New York to Washington every hour on the
hour(1:00,2:00....).Trains leave from Washington to New York every
hour on the hour and half hour(1:00,1:30,2:0,2:30....).It takes a train 5
hrs to complete its journey from Washington to New York as well as
from new york to washington.A train leaves from new york to washington. Find
out how many trains it will meet before it reaches washington.
Ans:19 or 21(not sure).

270) A pen, pencil and eraser together cost $1.00. if 2E2P, and P>4E then what a single pen will cost?

271. In a class there are less than 500 students . when it is divided by 3 it gives a whole number. similarly when it is divided by 4,5 or 7 gives a whole number.find the no. of students in the class.
ans: 420

272. Uncle reuben and aunt cynthia came to town to shop reuben bought a suit and hat for $15
cynthia paid as much as for her hat as reuben did for his suit then she spent the rest of their
money for a new dress on the way home cynthia called reuben's attention to the fact that his hat
cost $1 more than her dress then she added if we had divided our hat money differently so that
we bought different hats mine costing 1 and 1/2 time cost if yours then we each would have spent
the same amount of money in that case said uncle reuben "how much would my hat have cost"
Ans : Uncles hat costs $6.4 (total money was $29)

273. Four family names are given and their frends name are given but not in order.( u hav to find
which frend belongs to which family) Each frend prepares salad using 3 different fruits . they are
given apple, cherry, grape, banana., no two frens uses the same combination.
Various conditions are given and 4 ques asked.
Which fruit did mandy didn't use?
Who is flures friend?
Name the fruits common btwn Erica and stacy?

274.Here is a simple mathematical puzzle set by Longfellow in his own flowery, poetical language.
If 1/5th of a hive of bees flew to the badamba flower, 1/3rd flew to the slandbara, 3 times the
difference of these two numbers flew to an arbour, ad one bee continued to fly about, attracted on each side by the fragrant ketaki and malati, what was the total number of bees?
Ans: 15

275. (don't remember the exact question)a man while sorting files picks up file number one,misses
one, picks up file no. 2,mises two files,and so on...after that he found that he picked up 5% of the
files. How many files were there?
Ans:39