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Infosys 16/7/06

hi,
i appeared for infy on 16th july, follow all latest papers of infy thats it. i am sending my paper and soln along with it.
best of luck
 
questions asked in 16th july infosys test in delhi tagore international scool

1. A software engineer returns from America. As he is fat he decided to have
evening walk.....he started at 3pm.
he walks along the road at 4km/hr for some time then he climbs a upward slope
area at 3km/hr then downwards at the rate of 6km/hr.
then back to the home through the road at 4km/hr. what is the distance he
covered in one way if he reaches back home at 9pm.
ans. 12km

approach.
let plain road is=xkm
uphill=downhill=ykm
total time of walk =9-3=6hrs

that is
x/4+y/3+y/6+x/4= 6
=>x+y=12
thus one way distance =12 km

2.a jeweller makes a window display. he has 7 gems of which he needs
to display 6. three on the left side of the pane on three on the
right. with following conditions.
let the gems be Armanet, diamond, emerald , sapphire , garnet, opal
and ruby.
armanet should be always displayed on left side
diamond always on the right
ruby should not be kept with diamond or garnet.
emerald and sapphire should always be on the same side.

1]what are the possible combinations on the possible for left pane.
a] armanet,garnet , opal
b] armanet, ruby, garnet
c] diamond, emerald , sapphire
d] armanet , emerald, garnet

2]what are the possible combinations on the possible for right pane.
a]diamond, garnet , opal
b]diamond, ruby, opal
c]armanet,emerald, sapphire
d]diamond,garnet,ruby

3]if garnet, diamond, opal are on the right side what is possible
option for right side.
a]ruby,armanet,sapphire
b]armanet,emerald,ruby
c]armanet,emerald,sapphire
d]ruby,emerald,sapphire

4]if armanet, ruby, opal are on the left side what is possible
option for left side.
a]diamond, garnet, emerald
b]diamond, sapphire, garnet
c]garnet, sapphire, emerald
d]diamond, emerald, sapphire

Ans 1]a 2]a] 3]c 4]d


3. in how many ways we can arrange numbers on a dice such that 1 and 6are
opposite, 5 2nd 2 r
opposite and 4 and 3 r are opposite on a dice


ans 6*4 =24


4. complete the series

1, 2, 3, 5, 16,_

ans 231


approach
2^2-1^2=3

3^2-2^2=5

5^2-3^2=16

16^2-5^2=231
1, 2, 3, 8, -, 224

ans 27

approach
2*1+1=3
2*3+2=8
3*8+3=27
27*8+8=224

5. one watch gains 1minute/hr another watch loses 2minute/hr. in how much time
the difference of time between them would be
one hour.

ans 20 hrs
approach
diff between time in 1 nour is 1+2=3 minutes
thus
3 minutes diference in 1hr
60 minutes dofference in 3/60=20 hrs

6. a horse goes half of the distance with the speed 12miles/hr,
and after that rest half with luggage at 4 miles/hr. what is its average speed?

ans 6 miles/hr

approach

avg speed=distance covered/ time taken
=2x/(x/4+x/12)

=6



7.in a jigsaw puzzle there are 100 pieces. minimum how many turns r needed to
complete it. at a time you can append
2 pieces only.

ans 99

8 there r two temperature scales A and B. 14 degrees in A is eqivalent to 36 in
B. and 133 in A is eqivalent to 87 in B
what is the temperature where they both are equal?

ans 52.5 degrees

approach

let the temp be =X

and caliberation in A=a
caliberation in B=b


A(X-14)=B(X-36)


A(X-133)=B(X-87)

thus
(x-14)(x-87)=(x-36)(x-133)
solving
x=52.2
9. a man picking up letters in a way that when picks up one misses one, picks
up another one misses 2, picks up another
one misses 3 ...........so on.
at the end he found he picked up 5% OF THE TOLTAL, HOW MANY LETTERS DI HE PICK?
ans 39


approach

when picked 1st.......dropped 1
2nd....... 2
3rd....... 3

----------------------------------------
picked nth.........dropped totlly sum of n natural nos thus


n/{n(n+1)/2} = 5/100
=>n =39

sonia mukherjee