CAT Introduction to Linear and Circular Arrangement - Practice Questions & MCQ

Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the top end of the stick having grey colour at the bottom end ?

Directions for question:

At the OSL Prestige Motorrad – the BMW car and bike showroom at Eastern Metropolitan Bypass, Kolkata – A, B, C, D and E were the five BMW car models present while P, Q and R were the three BMW motorbike models present. 

Model A had the highest top speed among the cars while model R had the lowest top speed among the motorbikes. Model C was costlier than model D and model Q, but less costly than model B. Among the cars, model A was not the costliest. Model D was less costly than model E and there was no car model whose cost lay in between the cost of those two. Model E had a top speed higher than three of the car models and all of the motorbike models. Model Q was costlier than model R but less costly than model P, which had a top speed higher than that of model Q. None of the different car models had the same cost.

Question: 

If motorbike model P was less costly than car model A, which in turn was not costlier than car model E, which one of the options below was the least costly of all the car and motorbike models present at the OSL Prestige Motorrad according to the information provided ?

Directions for question:

At the OSL Prestige Motorrad – the BMW car and bike showroom at Eastern Metropolitan Bypass, Kolkata – A, B, C, D and E were the five BMW car models present while P, Q and R were the three BMW motorbike models present. 

Model A had the highest top speed among the cars while model R had the lowest top speed among the motorbikes. Model C was costlier than model D and model Q, but less costly than model B. Among the cars, model A was not the costliest. Model D was less costly than model E and there was no car model whose cost lay in between the cost of those two. Model E had a top speed higher than three of the car models and all of the motorbike models. Model Q was costlier than model R but less costly than model P, which had a top speed higher than that of model Q. None of the different car models had the same cost.

Question: Which of the following statements would be true about the BMW motorbike models present at the OSL Prestige Motorrad ?

Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick opposite the stick with blue colour at the bottom end ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

Which of the following cannot be the couple according to the conditions of the arrangement ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

Who is married to D ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

The two women who are neighbours are _____ ?