CAT Model Paper 7 Questions and Answers with Explanation Part 9

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Start Passage

Answer the questions based on the following data.

In a Test Match against Australia, 5 Indian batsmen batted in the 1st innings and the runs made by them as a fraction of the total score are as follows:

Q_54-to-57_Table of the Runs Made by Them as a Fraction of the Total Score
Q_54-to-57_Table of the Runs made by them as a Fraction of the Total Score

Gavaskar

7/39

Srikant

19/78

Vengsarkar

5/26

Amarnath

11/39

Shastri

7/78

Also, the break-up of number of singles, doubles & boundaries hit by these batsmen are as follows:

Q_54-to-57_1_Table of the Break-Up of Number of Singles Doubles & Boundaries Hit by These Batsmen
Q_54-to-57_1_Table of the Break-up of Number of Singles Doubles & Boundaries hit by these Batsmen

Singles

Doubles

Boundaries

Gavaskar

11

12

3

Srikant

14

15

5

Vengsarkar

33

4

4

Amarnath

18

13

11

Shastri

9

4

2

It was known that few runs came from those balls where batsmen took 3 runs or hit a six. It is also known that the number of runs scored in 3’s is less than or equal to the numbers of runs scored in 6’s. Rest of the runs came from byes. Srikant did not play any ball in which took 3 runs. The total score was between 300 and 350 runs.

Q: 54. If the number of sixes hit by Gavaskar is same as the number of times he took 3 runs a ball, then how many runs did he score hitting sixes?

(A) 6

(B) 12

(C) 18

(D) Cannot be determined

Ans: A

Solution:

As the numerators of all fractions are prime numbers, India’s score has to be a multiple of . Only multiple of in the given range is 312.

Gavaskar Scored 56. Gavaskar scored .

Gavaskar Scored nine more runs which means he could have scored 3 threes or 1 three and 1 Six.

Q: 55. What is the ratio of number of balls on which Vengsarkar & Shastri scored 3 runs each?

(A)

(B)

(C)

(D)

Ans: D

Solution:

As the numerators of all fractions are prime numbers, India’s score has to be a multiple of .

Only multiple of in the given range is .

Vengsarkar Scored.

Vengsarkar scored.

Vengsarkar scored 1 three Ravi Shastri Scored.

Ravi Shastri scored.

Ravi Shastri scored 1 three Answer

Q: 56. Who hit the maximum number of sixes?

(A) Amarnath

(B) Gavaskar

(C) Srikant

(D) Vengsarkar

Ans: C

Solution:

As the numerators of all fractions are prime numbers, India’s score has to be a multiple of .

Only multiple of in the given range is .

Srikanth Scored.

Srikanth Scored.

Srikanth scored 12 more runs which means he could have scored 4 threes or 2 Sixes.

Q: 57. How many runs came from byes?

(A)

(B)

(C)

(D) Data Insufficient

Ans: C

Solution:

As the numerators of all fractions are prime numbers, India’s score has to be a multiple of 78.

Only multiple of in the given range is .

Gavaskar + Srikanth + Vengsarkar + Ravi Shastri 88 Batsmen Score

End Passage

Q: 58. In the following questions different sentences of a paragraph are given. Rearrange the sentences to make the paragraph logically coherent and mark the number of the choice that indicates the correct order of the sentences as your answer.

A. The speaker winces at the memory.

B. ‘I found it just too much. It was hot, of course, and the platform was full of beggars and there were flies everywhere and everybody just stood and stared at you.’

C. There’s nothing unusual in this reaction of a western traveller to India.

D. The speaker has just returned from India and is describing a particularly awful time at a railway junction in Bihar.

E. ‘The train was late, and when it came they said we’d no reservations, so we had to quarrel and fight about that.’

(A) DBECA

(B) DBEAC

(C) ABEDC

(D) ADCAB

Ans: B

Solution:

D introduces the background of the speaker. BE follow D’s “describing a particularly awful time at a railway junction in Bihar”. A comes after the memories described in BE. And C ends the excerpt.

Q: 59. From the sentences given below identify the sentences which have NO grammatical, punctuation or spelling errors

a. As you will soon discover, many self-made millionaires had started out with much less than you have.

b. In fact, the interesting people you met in this book came to America with nothing more than a few meagre belongings, a few bucks in their pockets, and a burning desire to succeed.

c. Many of them had to learn new language.

d. All of them had to adjust and adapt to a confusing new culture.

e. They all had to support and motivate themselves because they didn’t have access to things that you take for granted as an American.

(A) a, b and d

(B) d and e

(C) b and c

(D) Only e

Ans: B

Solution:

In sentence a, it should be (in simple past) “started” and not “had started” as the reference is to simple present “than you have”. In sentence b it should be “you will meet” instead of “met” since sentence a talks about “you will discover”. In sentence c it should be “a new language”.

Q: 60. Five sentences below are labelled 1,2,3,4 and 5. Of these, four statements need to be arranged in a logical order to form a coherent paragraph/passage. From the given options, choose the option that does not fit the sequence.

1. The HAARP system is designed to manipulate the ionosphere, a layer which begins about thirty miles above the earth.

2. The transmitter or HAARP device on the ground is a phased array antenna system – a large field of antennas designed to work together in focusing radio-frequency energy for manipulating the ionosphere.

3. Early on in the HAARP project there was confusion about - harnessing the energy of the aurora (the northern lights) for use by the military.

4. It will be used for - earth penetrating tomography (looking through layers of the earth to locate underground facilities or minerals), communications with submarines, to manipulate communication of others, over-the-horizon radar, energy transfers from one part of the world to another, creating artificial plasma (energy) layers or patches in the ionosphere, to alter weather and may be used as an anti-satellite weapon.

5. The radio frequency energy can be pulsed, shaped, and altered in ways never possible with other transmitters or at the power levels of this new facility. The device will have an effective-radiated-power of 1 billion watts when completed in the first phase of the project.

(A) 1

(B) 2

(C) 3

(D) 4

Ans: C

Solution:

Clearly option 3 is the odd sentence out as it talks about confusion faced by HAARP project in harnessing energy from Aurora. But the other sentences are clearly talking about the HAARP system and the HAARP device and its mission to manipulate the ionosphere. The sentences talk about the different purposes for which the device may be used.

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