sample aptitude questions

8/10/2019 Sample Aptitude Questions

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Sample Aptitude questions

1. You work at a fruit factory. There are 3 crates in front of you. One cratecontains only apples. One crate contains only oranges. The other cratecontains both apples and oranges. And each crate is labeled. One readsapples! one reads oranges! and one reads apples and oranges. "ut thelabeling machine has gone cra#y and is now labeling all bo$es incorrectly.%f you can only take out and look at &ust one of the pieces of fruit from &ustone of the crates! how can you label A'' of the crates correctly(

). A light bulb is hanging in a room. Outside of the room there are three

switches! of which only one is connected to the lamp. %n the starting situation!

all switches are *o+* and the bulb is not lit. %f it is allowed to check in the room

only once to see if the bulb is lit or not ,this is not -isible from the outside!

how can you determine with which of the three switches the light bulb can be

switched on(

3. There are / rational pirates! A! "! 0! and 2. They nd 144 gold coins. Theymust decide how to distribute them. The pirates ha-e a strict order ofseniority5 A is superior to "! who is superior to 0! who is superior to ! who issuperior to 2. The pirate world*s rules of distribution are thus5 that the mostsenior pirate should propose a distribution of coins. The pirates! including theproposer! then -ote on whether to accept this distribution. %n case of a tie-ote the proposer has the casting -ote. %f the distribution is accepted! thecoins are disbursed and the game ends. %f not! the proposer is thrown

o-erboard from the pirate ship and dies! and the ne$t most senior piratemakes a new proposal to begin the system again. 6irates base their decisionson three factors. 7irst of all! each pirate wants to sur-i-e. Second! gi-ensur-i-al! each pirate wants to ma$imi#e the number of gold coins he recei-es.

Third! each pirate would prefer to throw another o-erboard! if all other resultswould otherwise be equal. The pirates do not trust each other! and willneither make nor honor any promises between pirates apart from the mainproposal.

8. 7our people need to cross a rickety rope bridge to get back to their camp atnight. 9nfortunately! they only ha-e one :ashlight and it only has enoughlight left for se-enteen minutes. The bridge is too dangerous to cross withouta :ashlight! and it;s only strong enough to support two people at any gi-en

time. 2ach of the campers walks at a di+erent speed. One can cross thebridge in 1 minute! another in ) minutes! the third in / minutes! and the slowpoke takes 14 minutes to cross. metre stick is broken into two pieces at random. ?hat is the length of the

shorter piece! on a-erage(@. You ha-e a basket containing ten apples. You ha-e ten friends! who each

desire an apple. You gi-e each of your friends one apple.

ow all your friends ha-e one apple each! yet there is an apple remaining inthe basket.

=. 0annibals ambush a safari in the &ungle and capture three men. The cannibalsgi-e the men a single chance to escape uneaten.
http://en.wikipedia.org/wiki/Piratehttp://en.wikipedia.org/wiki/Casting_votehttp://en.wikipedia.org/wiki/Piratehttp://en.wikipedia.org/wiki/Casting_vote


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The capti-es are lined up in order of height! and are tied to stakes. The man

in the rear can see the backs of his two friends! the man in the middle can

see the back of the man in front! and the man in front cannot see anyone.

The cannibals show the men -e hats. Three of the hats are black and two of

the hats are white.

"lindfolds are then placed o-er each man*s eyes and a hat is placed on each

man*s head. The two hats left o-er are hidden. The blindfolds are then

remo-ed and it is said to the men that if one of them can guess what color

hat he is wearing they can all lea-e unharmed.

The man in the rear who can see both of his friends* hats but not his own

says! % don*t know. The middle man who can see the hat of the man in front!

but not his own says! % don*t know. The front man who cannot see

AY"OY*S hat says % knowB


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). Ans5 put the switch A ! keep it on for 1/ min then turn o+ switch A and

put switch ". ow go inside and see. %f the bulb is on the switch " is the

correct switch. %f bulb is o+ then tou-h the bulb and see. %f it is hot then A

was the correct switch . %f it is cold then 0 is the correct switch.

3. Answer5 %t might be e$pected intuiti-ely that 6irate A will ha-e to allocate

little if any to himself for fear of being -oted o+ so that there are fewer

pirates to share between.


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P P " P>>>>>>>>>>>>>>>>>>>>>>>>>>P :ashlight

). " comes back. total time5 8 minutes.

0 P>>>>>>>>>>>>>>>>>>>>>>>>>>P A P P" P>>>>>>>>>>>>>>>>>>>>>>>>>>P:ashlight

3. 0 cross. total time5 18 minutes.

" P>>>>>>>>>>>>>>>>>>>>>>>>>>P A P P 0 P>>>>>>>>>>>>>>>>>>>>>>>>>>P :ashlight

8. A comes back. total time5 1/ minutes.

A P>>>>>>>>>>>>>>>>>>>>>>>>>>P 0" P P P>>>>>>>>>>>>>>>>>>>>>>>>>>P:ashlight

/. A " cross. total time5 1= minutes.

P>>>>>>>>>>>>>>>>>>>>>>>>>>P AP P "P>>>>>>>>>>>>>>>>>>>>>>>>>>P 0 :ashlightAnother -alid solution is to ha-e A bring the :ashlight back in step )

/. The shorter piece will be randomly from 4cm to /4cm long! with an

a-erage of )/cm

@. You gi-e an apple each to your rst nine friends! and a basket with an

apple to your tenth friend.

2ach friend has an apple! and one of them has it in a basket.

,Alternati-e answer5 one friend already had an apple and put it in the

basket.=. The man in front knew he was wearing a black hat because he knew the

rst man did not see two white hats and he knew that the second man did

not see one white hat because if he saw a white hat! the second man

would ha-e known that his hat was black from hearing the rst man*s

statement.

C. )Q3 ,not 1Q)


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You know that you do not ha-e "ag " ,two black marbles so there arethree possibilities

You chose "ag A! rst white marble. The other marble will be whiteYou chose "ag A! second white marble. The other marble will be white

You chose "ag 0! the white marble. The other marble will be black

So ) out of 3 possibilities are white.

?hy not 1Q)( You are selecting marbles! not bags.

D.


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already taken! so Ir. ?hite is wearing a blue shirt.

Ir. Jed now has to be wearing a white shirt.

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