Latest Elitmus Aptitude Question SOLUTION: Q. Chief minister Arvind , other ministers and policemen travel from one place to other in a convey. Each of them have their own cars. There are 10 members- 4 police and 6 minister

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(#M40032582) ELITMUS Logical Reasoning question Arvind and the ministers Keep an EYE

Q. Chief minister Arvind , other ministers and policemen travel from one place to other in a convey. Each of them have their own cars. There are 10 members- 4 police and 6 ministers - The ministers are Arvind, M, Rakesh, G, S and B.
1)Arvind and G are scared and do not stand at the front or at the rear end of the convey
2) M is at the 9th position
3) S,B and Rakesh move one after the other and B is always between S and Rakesh.
4) Arvind and G are neither after nor before any minister.

What are combinations possible?

Asked In Elitmus Vandana (10 years ago)

Unsolved Read Solution (18)

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Read Solution (18) :

Shireesh Mehta  (10 years ago)

There are 8 combinations possible.
Combination=Selection

Let us first eliminate the positions Arvind and G cannot occupy.
These will be 1,8,9 and 10.
1 and 10 due to the 1st condition
8 and 9 due to the 4th and 2nd conditions respectively

S-B-R can occupy only 3 consecutive positions.
This can be 1-2-3, 2-3-4, 3-4-5, 4-5-6, 5-6-7 or 6-7-8

If we select 1-2-3, the 4th position becomes unavailable for Arvind/G owing to condition 4. Now, 3 positions available(5,6,7) for 2 ministers Arvind and G. This will be 3C2=3

If we select 2-3-4, the 5th position becomes unavailable for Arvind/G. Now, only 2 positions(6,7) available for 2 ministers. This will be 2C2=1

If we select 3-4-5, the 2nd and 6th positions become unavailable. Now only 1 position(7) available for 2 ministers.
Similarly, for 4-5-6, the 3rd and 7th positions become unavailable. Now also only 1 position(2) available for 2 ministers.

If we select 5-6-7, the 4th position becomes unavailable for Arvind/G. Now, only 2 positions(2,3) available for 2 ministers. This will be 2C2=1

If we select 6-7-8, 5th position becomes unavailable. Now 3 positions(2,3,4) available for Arvind/G. This will be 3C2=3

Thus, the total number of combinations=3C2+2C2+2C2+3C2=3+1+1+3=8

Is this solution Helpfull? Yes (9) | No   

ankitbalyan  (10 years ago)

there are 5 combinations like:-
s b r p a p g p m p
r b s p a p g p m p
r b s p g p a p m p
s b r p g p a p m p
p g p a p r b s m p

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

Mainak Das  (10 years ago)

Other Parts of the question are
1. What is the minimum no of cars between B and M?
2. What is the minimum no combination possible where more than 3 ministers move one after another?
3. What is the minimum no of combinations possible for M, preceded and followed by a police?
4. Which statements are true?
a. There never be a police at first
b.2 polices move one after another.

Is this solution Helpfull? Yes (2) | No   

ankitbalyan  (10 years ago)

sorry the possible combinations are:-
s b r p g p a p m p
p s b r p g p a m p
p s b r p g a p m p
p p a g p r b s m p
p a p g p r b s m p

Is this solution Helpfull? Yes (1) | No (3)  

Avigyan  (10 years ago)

I got these 2 combinations, which match with all the given conditions..
apart from the above condition,other given conditions in this post are,there is a police in between rakesh(R) and G, arvind(A) S and R uses red beacons, no two red beacons can go one after another.
S B R P G P A P M P
P A P G P R B S M P

Is this solution Helpfull? Yes (1) | No   

mridul utkarsh  (10 years ago)

minimum cars between B and M would be 3 not 4....

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

Vandana  (10 years ago)

My answer is wrong

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deep chandra bhatt  (10 years ago)

these combination are 8
sbrpapgpmp
rbspapgpmp
sbrpgpapmp
rbspgpapmp
pgpaprbsmp
pgpapsbrmp
papgprbsmp
papgpsbrmp
if ques is rightthen this willbe answer but as far as i know
there was one more condition in which A,M,R are in red cars which can not be together and G,S,B were in blue cars......and in condition 4 G was not there, there was some other member

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ankitbalyan  (10 years ago)

if you remember kavya can you please mention other parts of this question....

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Vandana  (10 years ago)

There is another condition which I forgot to mention..
There is one Police between Arvind and Rakesh

Is this solution Helpfull? Yes | No (1)  

Vandana  (10 years ago)

I got,
P M P G P A P R B S
P M S B R P A P G P
P M P S B R P A P G

Is this solution Helpfull? Yes | No (3)  

Mainak Das  (10 years ago)

No there is no police between Rakesh and Arvind , there lies a police between Rakesh and G. Another 2 conditions are there that Arvind, S and Rakesh are going using their Red Beacons where M, G and B using their Blue Beacons. No 2 Red beacons can go one after another.

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ankitbalyan  (10 years ago)

what is the ans for the minimum cars between b and m?

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Mainak Das  (10 years ago)

i thnk its 4.

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Vandana  (10 years ago)

When did you get this question? Last Sunday or few months back?

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Mainak Das  (10 years ago)

this is what we got last sunday........

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prabhat srivastava  (10 years ago)

FROM WHERE I CAN PRACTICE THESE TYPE OF QUESTIONS?

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Tarun Sharma  (8 years ago)

ANWER to mainik das questions wil be
1. one
2.three
3.five
4.b

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