In a game, exactly six inverted cups stand by side in a straight line, and each has one ball hidden under it.

Question

In a game, exactly six inverted cups stand side by side in a straight line, and each has exactly one ball hidden under it. The cups are numbered consecutively 1 through 6. Each of the balls is painted a single solid color. The colors of the balls are Green, Magenta, Orange, Purple, Red and Yellow. The balls have been hidden under the cups in a manner that confirms to the following conditions.

The purple ball must be hidden under a lower numbered cup than the orange ball.

The red ball must be hidden under a cup immediately adjacent to the cup under which the magenta ball is hidden.

The green ball must be hidden under cup 5.

1 ) Which of the following could be the colors of the balls under the cups, in order from 1 through 6?

1. Green, Yellow, Magenta, Red, Purple, Orange.
2. Magenta, Green, Purple, Red, Orange, Yellow.
3. Magenta, Red, Purple, Yellow, Green, Orange.
4. Orange, Yellow, Red, Magenta, Green, Purple.
5. Red, Purple, Magenta, Yellow, Green, Orange.

2 ) If the magenta ball is under cup 4, the red ball must be under cup..

1. 1
2. 2
3. 3
4. 5
5. 6

3 ) A ball of which of the following colors could be under cup 6 ?

1. Green
2. Magenta
3. Purple
4. Red
5. Yellow.

4 ) If the purple ball is under cup 4, the orange ball must be under cup..

1. 1
2. 2
3. 3
4. 5
5. 6

5 ) Which of the following must be true?

1. The green ball is under a lower - numbered cup than the yellow ball.
2. The orange ball is under a lower - numbered cup than the green ball
3. The purple ball is under a lower - numbered cup  than the green ball
4. The purple ball is under a lower - numbered cup than the red ball.
5. The red ball is under a lower - numbered cup than the yellow ball.

6 ) If the orange ball is under cup 2, balls of which of the following colors could be under cups immediately adjacent to each other?

1. Green and Magenta
2. Green and Purple
3. Orange and Yellow
4. Purple and Red
5. Red and Yellow

7 ) If the magenta ball is under cup 1, balls of which of the following colors must be under cups immediately adjacent to each other?

1. Green and Orange
2. Green and Yellow
3. Purple and Red
4. Purple and Yellow
5. Red and Yellow.

Answer 1

1.

• The Green ball must be hidden under cup 5. - Options 1, 2 eliminated.
• The Red ball must be hidden under a cup immediately adjacent to the cup under which the Magenta ball is hidden. - Option 5 eliminated.
• The Purple ball must be hidden under a lower numbered cup than the Orange ball. - Option 4 elminated.

So, answer is 3.

2. Answer is choice 3, 3 because red and magenta are neighbours and 5 is already taken by green.

3. Choice 5 - yellow.

Green is under 5. Since Red and Magenta are neighbours they cannot come under 6. Then Purple must come under a lowered number one than Orange meaning it cannot come under the highest number 6.

4. Choice 5 - 6. Orange must come under a higher numbered one than Purple and Green is already under 5.

5. Choice 3 is always TRUE same reason as for question 3.

6. We get

1	2	3	4	5	6
Purple	Orange			Green	Yellow

Red and Magenta must be neighbours. So, they take positions 3,4 and Yellow takes 6.

So, only possibility among choices is Choice 1 - Green and Magenta.

7.

1	2	3	4	5	6
Magenta	Red			Green

The Purple ball must be hidden under a lower numbered cup than the Orange ball. So, Orange cannot be under 3 - it must be under 4 or 6. So, Green and Orange must be neighbours. Choice 1.

Answer 2

1. - (3)

2. - (3)

3.- (5)

4.- (5)

5.- (3)

6.- (1)

7.- (1)

Answer 3

1. - (3)

2. - (3)

3.- (5)

4.- option (5)

5.- (3)

6.- (4) ??

7.- (5) ??

Answer 4

1. - (3)

2. - (3)

3.- (5)

4.- (5)

5.- (3)

6.- (1)

7.- Looks like none of the options. Can someone help out?

Comments

7 is option 1.