Latest Infosys Aptitude Question SOLUTION: Q. There are 5 persons a,b,c,d,e and each is wearing a block or white cap on his head. A person can see the caps of the remaining four but can\'t see his own cap. A person wearing

• Placement Papers
• /
• Infosys
• /
• Verbal Ability
• /
• Miscellaneous

Infosys Question Papers: Infosys Interview Experience(10) INFOSYS Company Profile

(#M40031453) INFOSYS Verbal Ability question infosys Keep an EYE

Q. There are 5 persons a,b,c,d,e and each is wearing a block or white cap on his head. A person can see the caps of the remaining four but can't see his own cap. A person wearing white says true and who wears block says false.
i) a says i see 3 whites and 1 block.
ii) b says i see 4 blocks.
iii) e says i see 4 whites.
iv) c says i see 3 blocks and 1 white. Now find the caps weared by a,b,c,d and e

Asked In Infosys BISWAJIT (10 years ago)

Unsolved Read Solution (10)

Is this Puzzle helpful?   (5)   (3) Submit Your Solution Miscellaneous

Read Solution (10) :

PRIYANKA KUMARI SAH  (10 years ago)

a/c to their statement list it like this

a->3 white 1 black
b->4 black
c->3 black 1 white
d->
e->4 white

now if e is saying truth then a,b,c,d shoud be wearing white caps. so all of them should say truth but a,b and c are talking about black caps so this situation is contradicting. therefore e must be wearing black cap.

now a says 3 white and 1 black. if he is saying truth then b,c,d must be wearing white caps bcoz a/c to our earlier discussion e is wearing black cap. so a/c to a's statement a,b,c,d should b wearing white caps.so total 4 white cap and 1 black cap. now if b and c is wearing white cap then their statement should be true but a/c to b there are 4 black cap and a/c to c there are 3 black and 1 white cap. so the statements are contradicting. so a is lying so he is wearing black cap.

now b says he see 4 black cap. if it's true a,c,d,e must be wearing black cap. we already know that a and e are wearing black cap. so if b is saying truth then c and d must be wearing black caps. so c should lie but in this condition statement of c becomes true so it's contradicting. so b is lying hence he is wearing black cap.

till now we know a,b,e are wearing black cap. now c says 3 black and 1 white cap. there are already 3 black caps so if he is saying truth then d must be wearing white cap. and this condition does not contradict. so c and d both are wearing white caps.

a-black
b=black
c-white
d-white
e-black

Is this solution Helpfull? Yes (54) | No   

Rohan Nimbalkar  (10 years ago)

Possible ans are
A Black

B Black

C White

D White

E Black

Is this solution Helpfull? Yes (9) | No (1)  

jitendra kumar  (10 years ago)

A Black
B White
C Black
D Black
E Black

Is this solution Helpfull? Yes (8) | No (6)  

Banishree Achary  (10 years ago)

a Black
b White
c Black
d Black
e Black

Is this solution Helpfull? Yes (3) | No (2)  

aman raj srivastava  (10 years ago)

c-white
d-white
a black
b- black
e-black

Is this solution Helpfull? Yes (2) | No (2)  

raviteja  (10 years ago)

if u consider 'b' is right then 'c' should say wrong as he weared black cap...but he said 3b and 1w which is right since we considered 'b' is right(1w,4b)...so we come to a conclusion that 'b' is wrong , so the truth we come to know ::'b' is weared black and go on this way..

Is this solution Helpfull? Yes (1) | No (2)  

Khushboo Porwal  (10 years ago)

a-black
b-white
c-white
d-black
e-black

assume b is right so according to it a,c,d,e wearing black..
assume c is right so according to it (3 in black and 1 white)a,d,e is black and b is white..
and remaining will be black bcoz they say false

Is this solution Helpfull? Yes (1) | No (2)  

lokeswari kodimala  (10 years ago)

plz explain

Is this solution Helpfull? Yes | No (3)  

Shreya Nama  (10 years ago)

a-black,b-black,c-white,d-white,e-black

Is this solution Helpfull? Yes | No (1)  

aryan patel  (6 years ago)

a/c to their statement list it like this

a->3 white 1 black
b->4 black
c->3 black 1 white
d->
e->4 white

now if e is saying truth then a,b,c,d shoud be wearing white caps. so all of them should say truth but a,b and c are talking about black caps so this situation is contradicting. therefore e must be wearing black cap.

now a says 3 white and 1 black. if he is saying truth then b,c,d must be wearing white caps bcoz a/c to our earlier discussion e is wearing black cap. so a/c to a's statement a,b,c,d should b wearing white caps.so total 4 white cap and 1 black cap. now if b and c is wearing white cap then their statement should be true but a/c to b there are 4 black cap and a/c to c there are 3 black and 1 white cap. so the statements are contradicting. so a is lying so he is wearing black cap.

now b says he see 4 black cap. if it's true a,c,d,e must be wearing black cap. we already know that a and e are wearing black cap. so if b is saying truth then c and d must be wearing black caps. so c should lie but in this condition statement of c becomes true so it's contradicting. so b is lying hence he is wearing black cap.

till now we know a,b,e are wearing black cap. now c says 3 black and 1 white cap. there are already 3 black caps so if he is saying truth then d must be wearing white cap. and this condition does not contradict. so c and d both are wearing white caps.

a-black
b=black
c-white
d-white
e-black

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.