Paper 2

1) There is a farm which contains super hens which r genetically made to lay eggs of double size
than the normal ones. But as genetic engg. is not well
understood there is only 50-50% chance of a super hen laying large egg.
The farm is such tht it keeps the hen as long as it lays large eggs and removes the hen out of the
farm as soon as it lays one normal egg.
The farm followed the same process for one year and counted all the eggs laid by all the super
hens. At the end of the year the ratio of large eggs to the
normal ones is?
(4m neg-1)

2) There is bag containing balls of three colors-Red, Green and Yellow and there are three color

blind people A, B and C. For A Red is invisible and every other color appears Gray. For B Green is
invisible and every other color appears Gray.

For A Yellow is invisible and every other color appears Gray.

They were shown the box and when asked the question what can see their replies were

A: I can see two balls.

B: I can see two balls.

C: I can see two balls.

How many balls were there in the box and of what color? (5m neg-2)
3) There is a temple on the top of the hill of height 1000mtrs.Coconuts at the base of the hill are

sold at 5/- each and at the top of the hill at 50/- each. One
intelligent businessman thought of buying coconuts at the base and selling them at the top. For that
he appointed 2 people who can carry only 1000 coconuts at
a time and takes 1 coconut for every mtr of walk. Can he succeed in his plan. If yes how much
profit he earns for a rupee of investment? (7m neg-2)

4) In the 2nd world war Japan's war ship named J was followed by the USA war ship U which is
traveling at 100kmph. By the time U was beside J and ready to
launch the torpedo, the place was surrounded by fog and the army-general in U could not see
anything. Taking this as a chance J changed in direction at an

angle. After 6min the general in U realized it and informed the helicopter over it to find J.After 3
minutes the helicopter replied that J turned at an angle 45 degrees and was 5km away from U at
the time when the general asked for it. The intelligent general quickly turned U and successfully
caught J.

How much time "U" would have taken to catch "J"?
(8m neg-2)
Note: (You can save time by mentioning the formula).

5) Two mathematicians met after 27 years in their college. This was their conversation.

First: How are you doing?

Second: Fine I got married and have three daughters.

First: Fine. I also got married 2 years after the college. How old are your daughters?

Second: Well, Product of their ages is 72 and their sum is equal to that house number (It was not

mentioned).

First: Wait, I am still counting.

Second: Sorry, youngest of them has just started walking.

First: Is it! Youngest of mine is also of the same age.

How old are the three daughters? (12m neg-3)

6)A boy got bored of the class and started walking on a hall which contained 1024 lockers in a row.

He first opened locker 1 and alternatively left one and opened one from thereon. When he reached

the end he turned back and opened the first closed locker and from thereon continued what he did

previously. He did this back and fro method till he opened the last locker.

What is the number of the last locker he opened?

(12m neg-3)
1. One guy (some name) has Rs. 100/- in hand. He has to buy 100 balls. One football costs Rs.

15/, One Cricket ball costs Re. 1/- and one table tennis ball

costs Rs. 0.25 He spend the whole Rs. 100/- to buy the balls. How many of each balls he bought?

Marks: 3

2. There are Brown and Black cows. In five days four black cows and 3 brown cows give as mush

as milk that four brown cows and 5 black cows give in four days. If the black cow gives 10 litres of

milk per day, how many liters of milk the Brown cow will give in one day? Marks: 4

(Numbers are not certain)

3. There are following denominations of money: 1, 2, 5, 10, 20, 50, and 100 paise. Alex has as

twice mony as David, who has as twice as Bindya, who again has as twice money as Charles.

Each has two coins in hand. Which coins Bindya has? Marks: 5

4. Four countries, Armenia, Bangladesh, Cairo and Denmark came in the final of a Judo

championship. There are some conditions like a: If Cairo wins the gold and/or Denmark wins the

bronze b: if Aremania won the gold and/or Bangladesh won the bronze c:.....................

(I'm not sure about these conditions. There were three conditions)

hint: In Judo bronze medal is given to two countries. Marks: 5



5. I don't remember the question Marks: 8

6. There's a camel living in a desert. There is a market 1000 miles away. The camel has 3000

dates for sale. It has to take the date to the market. But for

that dates camel eats one date per mile. How many dates the camel can trade?

Marks: 10

7. There are 8 stamps, 4 Red and 4 Green. There are three logicians also. One moderator sticks

throw stamps each on the forehead of each logician such that each of them can see all the stamps

except those on his forehead and the two in moderator's pocket. Then the moderator asked each

whether he knows the colors of the stamps he wears? Then the answers were:

A: "No" B: "No" C: "No"

A: "No" B: "Yes"

What were the colours of the stamps that B wears?

Placement paper from Nov 7th 2004

1) There r 10 marbles each of 5 diff colors. wot is

the min. num of marbles2 b taken out so dat at least 3

marbles r of same color?

2) U need 2 kill a dragon with 3 heads & 3 tails. u

have a magic sword dat can cut 1 head, 2 heads, 1

tail, or 2 tails in 1 swing.

if 1 head is cut -> a new head grows

if 1 tail is cut -> 2 tails grow

if 2 tails r cut -> 1 head grows

if 2 heads r chopped -> nothing grows. What is d min.

num of swings 2 b made?

3) Slow train runs b/w Blore & Mumbai, up as well as

down. It starts at 10:00pm everyday & reaches

destination by 11:30pm after 3 days. If u travel by

Slow train, how many such trains will u encounter

during journey?

4) A num of birds, black & white, r sitting on thhe

tele wire. There is at least 1 bir of each color, also

whenevr 2 birds are seperated by 4 or 7 other boirds

of any color, both birds r of same color. Wot is the

max. num of birds dat can b seated in this fashion?

5) 5 ppl, A, B, C, D, E are supposed 2 cover a certain

distance from their car to a house. There is only 1

umbrela dat can b shared by 2 ppl at a time.

It takes 1min for A 2 cover the dist, B->2 min,

C->5min, D->10min, E->15min.

Wot is d quickest poss time 4 the entire grp 2 get

into the house?

6) Mr.X belongs 2 a grp of 8 ppl including himself. In

d meeting, nobody shakes hands with the same person

more than once but everyone shakes hands with at least

1 person.

After the meeting is over, Mr.X realizes dat all the

other ppl in the party had shook a diff num of hands.

How many hands did Mr.X shake?

7) In a contest 3 probs, A, B, C r given

->25 ppl of the total num of them solved at least 1

prob each.

->Of all the contestants who did not solve A, the num

who solved B was twice the num who solved C.

->num of ppl who solved only A was 1 more than num who

solved A & atleast 1 other prob.

->Of all stud who solved just 1 prob, half didn't

solve A