Grouping and Team Formation Easy Questions and Answers

Grouping and Team Formation

Direction: K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions :
(i) A team must include exactly one among P, R and S.
(ii) A team must include either M or Q but not both.
(iii) If a team include K, then it must also include L, and vice versa.
(iv) If a team include one among S, U and W then it must also include the other two.
(v) L and N cannot be members of the same team. L and U cannot be members of the same team
(vi) The size of a team is defined as the number of members in the team.

What could be the size of a team that includes K?

It is given that K is include hence L is included. If L included so,N and U cannot be included. As U is not included S and W are not included. One out of M and Q and one out of P and R will be included.

Correct Option: E

Direction: Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can also be produced be mixing RED and YELLOW paints in equal proportions. Similarly, PINK paints can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, ( formed by mixing WHITE and YELLOW in the ratio 70:30 ) AVOCADO paints ( formed by mixing equal amount of ORANGE and PINK paint) and WASHED ORANGE paint ( formed by mixing equal amount of ORANGE and WHITE paint). The following table provides the prices at which RBPC buys paints.

Assume the AVOCADO, CREAM, and WASHED ORANGE each sells for the same price. Which of the three is the most profitable to manufacture?

On the basis of given question ,
We already calculate Cheapest Price of Avocado 19.5/litre.
Cream-white : Yellow ( 7 : 3 ) = ( 7 x 15 + 3 x 25 ) / 10 = 18 / litre

Correct Option: B

On the basis of given question ,
We already calculate Cheapest Price of Avocado 19.5/litre.
Cream-white : Yellow ( 7 : 3 ) = ( 7 x 15 + 3 x 25 ) / 10 = 18 /litre
Washed Orange ( 1 : 1 ) = ( 22 x 1 + 15 x 1 ) / 2 = 18.5

WASHED ORANGE can be manufactured by mixing

Given in the question ,
Washed Orange -- Orange + White ( 50 : 50 ) = 1 : 1 = > [ red + Yellow ] + White = 1 : 1 : 2
[ When we mix any quantity of liquid with other Total volume must be change ]
Now we take assumption that Orange is produce with Red and Yellow ( 1 : 1 )
Quantity of Orange is 2. To maintain this we can have Orange : White 1 : 1, White must be 2 in the new mixture. Hence Red : Yellow : White = 1 : 1 : 2

Correct Option: D

The cheapest way to manufacture AVOCADO paint would cost

As per the given question ,
Avocado [ Pink + Orange ]
It can be prepared directly or other different way to calculate least the cost / litre
Avocado [ Pink + Orange ] = ( 22 + 28 ) / 2 = 20
Avocado Pink [ Red + Yellow ] = [ 18 + (20 + 25) / 2 = 20.25
Avocado [ Red + White ] + Orange = [ (20 + 15) /2 + 22 ] / 2 = 19.5