CAT Model Paper 4 Questions and Answers with Explanation Part 10

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Directions for the Questions 51 to 53: Solve the questions given below based on the following information:

There are cities in a state. Some of them are connected with one-way routes while some are connected with two-way routes. The only mode of travel between any two cities is bus service which charges per kilometre. The routes and fares are given below:

Q_51_to_53_Table of One Way Routed
One-way routes
S. NoFromToFare (₹)
Q_51_to_53_1_Table of Two Way Routed
Two-way routes
S. NoFromToFare (₹)

Q: 51. What will be the minimum time taken by bus to travel from A to E if the average speed of bus is 45 km/hr?



(C) 4 hours


Ans: C


Calculate the distance first by dividing fares by ₹ 5. The diagram will be as under:

Double arrow: two-way route

Single arrow: one way route

Q_51_One Way Route

The minimum path is A C B G H D E, The minimum distance between A and . Hence time taken hrs.

Hence 4 hours

Q: 52. If a person starts from B and after visiting all the cities exactly once, he comes back to B, then what is the total distance travelled by him

(A) 370 kms

(B) 390 kms

(C) 380 kms

(D) He cannot visit all the cities

Ans: C


The path will be BACHDEFGB, hence the total distance will be


Q: 53. If a person is allowed to travel a maximum distance of starting from E without visiting any city more than once, then what is the maximum number of cities he can travel to.

(A) 6

(B) 5

(C) 8

(D) 7

Ans: A


The path will be which is less than but maximum six cities he can travel from E.

Hence option A

Q: 54. Identify the CORRECT sentence (s) in terms of grammar, spelling and punctuation.

1. Never once I have heard of such nonsense!

2. This is a European custom which has made its way into India.

3. She is an only child to her parents.

4. She needs a sound advice about choosing a career.

(A) 2 and 3

(B) 3 and 4

(C) Only 3

(D) 1 and 2

Ans: C


If a sentence begins with certain expressions such as ‘never’ , ‘not once’ ‘under no Circumstances’ etc. , there is an inversion of the subject and the verb. Whereas in a normal sentence the subject comes first followed by the verb, here the verb takes the initial position. The correction is - Never once have I heard … Under no circumstances will I allow you to … Not once has he …

‘European’ does not have a vowel sound in the initial syllable. It should be ‘a European.’ ‘Advice’ is an uncountable noun. Therefore, ‘She needs good advice …’ we do not use ‘a’ or ‘an’ before uncountable nouns such as advice, information, luggage/baggage, traffic, patience and so on. Answer - Only 3.