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Mini Mock || CAT 2023

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Question 1

Direction: In the given question, the 1st part of the sentence is given. The rest of the sentence/passage is split into four parts and named A, B, C and D . These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct.

The intensity of competition has steadily increased since the entry of Reliance Jio, founded by the deep-pocketed billionaire Mukesh Ambani.

A) But this scale that they gain would ultimately count for little if the combine fails to staunch customer losses, and do that without compromising on the business’s viability.

B) With about 430 million subscribers, Vodafone Idea would vault past Bharti Airtel’s current India customer base of about 345 million to the top of the heap.

C) This has left the incumbents battling furiously to protect their turf with tariff reductions to match the newcomer’s ‘no prisoners’ approach to pricing of its voice and data services.

D) The managements of Vodafone and Idea have repeatedly underscored the competitive challenges facing them, with both operators losing customers and the latter awash in red ink.

Question 2

Direction: In the given question, the 1st part of the sentence is given. The rest of the sentence/passage is split into four parts and named A, B, C and D. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct.

The Supreme Court is currently hearing oral arguments in Indian Young Lawyers Association v. the State of Kerala, in which rules that bar the entry of women aged between 10 and 50 years into the Sabarimala temple in Kerala have been called into question.

A) At a purely unreflecting level, the case might well appear to us to be an easy one to resolve.

B) To prohibit women from entering a public space, from worshipping in a shrine of their choice, one would think, ought to be anathema to the tenets of a constitutional democracy.

C) Generally, the right to freedom of religion of both individuals and groups is recognised as an intrinsic facet of a liberal democracy.

D) But, as a study of the rival contentions made before the five-judge Bench that heard arguments shows us, the religious freedom clauses in the Constitution are possessed of a special complexity, which the court’s own past jurisprudence has turned into a quagmire of contradictions.

Question 3

Direction: In the given question, the 1st part of the sentence is given. The rest of the sentence/passage is split into four parts and named A, B, C and D. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct.

Transcendentalism is an American literary, political, and philosophical movement of the early nineteenth century, centred around Ralph Waldo Emerson.

A) Emerson and Thoreau sought this relation in solitude amidst nature, and in their writing.

B) They were critics of their contemporary society for its unthinking conformity, and urged that each person find, in Emerson's words, “an original relation to the universe.”

C) By the 1840s they, along with other transcendentalists, were engaged in the social experiments of Brook Farm, Fruitlands, and Walden; and, by the 1850s in an increasingly urgent critique of American slavery.

D) Stimulated by English and German Romanticism, the Biblical criticism of Herder and Schleiermacher, and the scepticism of Hume, the transcendentalists operated with the sense that a new era was at hand.

Question 4

Direction: In the given question, the 1st part of the sentence is given. The rest of the sentence/passage is split into four parts and named A, B, C and D. These four parts are not given in their proper order. Read the sentence and find out which of the four combinations is correct.

Among the ideas in the draft policy is a sunset clause on discounts that can be offered by e-commerce firms and restrictions on sellers backed by marketplace operators.

A) Foreign direct investment restrictions on players who can hold their own inventory are sought to be lifted.

B) The aim may be to prevent large players from pricing out the competition through unfair practices, but taken too far such licensing and price controls can depress the sector.

C) To give the government a say on who can offer how much discount and for how long, instead of letting consumers exercise informed choices, would be a regressive step for the economy.

D) But there must be a majority Indian partner and all products have to be made in India.

Question 5

Manoj said to Srikant, when we met last time, you were (7/12)th of my present age and I was (9/10)th of your present age. If Srikanth turns 40 after 10 years, what is the present age of Manoj?

Question 6

How many integral coordinates lie within or on the boundary of the region |x| + |y| = 4?

Question 7

In the given figure, PQRS is a square. Sides QP, PS, SR, and RQ are extended to O, T, M, and N respectively such that OP:PQ = RM:RS = 1:2 and NQ:QR = TS:SP = 3:If the area of the quadrilateral MNOT is 126 square units, what is the area of the square PQRS (in square units)?

Question 8

The number of students who opted for science is thrice the number of students who opted for arts. If 60% of the students who opted for science and 75% of the students who opted for arts are girls, what percentage of students are boys?

Question 9

Direction: Read the instructions given below and answer the questions that follow:

Twelve players seated around a circular table on chairs that are numbered from 1 to 12 are playing a game of dice. The possible scores of 1 to 6 are categorised. In any throw of a die, a score of 1 or 2 is considered low, a score of 3 or 4 is considered moderate, and a score of 5 or 6 is considered to be high.

The numbers of players getting low, moderate, and high scores are 5, 4, and 3, respectively.

The following information is also known:

1) The players who are seated on chairs that are numbered as either perfect squares or perfect cubes do not get high scores and only one of these players who is seated on a chair that is numbered between two prime numbers gets a low score.

2) Other than one player, all other players who are seated on chairs that are numbered as even numbers do not get a moderate score.

3) The players who are seated on chairs that are numbered as multiples of 4 do not get high scores.

4) Other than one player, all other players who are seated on chairs that are numbered as prime numbers do not get high scores.

5) Among the players seated on seats numbered 3 and 7, neither gets a moderate score, and their scores fall under different categories.

6) The players who are seated on chairs that are numbered as even numbers, but are not multiples of 4, do not get a moderate score.

Which of these statements is definitely true?

1-The player seated on a seat numbered as 5 gets a high score.

2-The player seated on a seat numbered as 11 gets a moderate score.

3-Three players seated on chairs numbered as odd numbers get a moderate score.

4-At least three players seated on chairs numbered as odd numbers get a low score.

Question 10

Direction: Read the instructions given below and answer the questions that follow:

Twelve players seated around a circular table on chairs that are numbered from 1 to 12 are playing a game of dice. The possible scores of 1 to 6 are categorised. In any throw of a die, a score of 1 or 2 is considered low, a score of 3 or 4 is considered moderate, and a score of 5 or 6 is considered to be high.

The numbers of players getting low, moderate, and high scores are 5, 4, and 3, respectively.

The following information is also known:

1) The players who are seated on chairs that are numbered as either perfect squares or perfect cubes do not get high scores and only one of these players who is seated on a chair that is numbered between two prime numbers gets a low score.

2) Other than one player, all other players who are seated on chairs that are numbered as even numbers do not get a moderate score.

3) The players who are seated on chairs that are numbered as multiples of 4 do not get high scores.

4) Other than one player, all other players who are seated on chairs that are numbered as prime numbers do not get high scores.

5) Among the players seated on seats numbered 3 and 7, neither gets a moderate score, and their scores fall under different categories.

6) The players who are seated on chairs that are numbered as even numbers, but are not multiples of 4, do not get a moderate score.

For how many players who are seated on seats that are numbered as odd numbers can the score category in which they fall be uniquely determined?

Question 11

Direction: Read the instructions given below and answer the questions that follow:

Twelve players seated around a circular table on chairs that are numbered from 1 to 12 are playing a game of dice. The possible scores of 1 to 6 are categorised. In any throw of a die, a score of 1 or 2 is considered low, a score of 3 or 4 is considered moderate, and a score of 5 or 6 is considered to be high.

The numbers of players getting low, moderate, and high scores are 5, 4, and 3, respectively.

The following information is also known:

1) The players who are seated on chairs that are numbered as either perfect squares or perfect cubes do not get high scores and only one of these players who is seated on a chair that is numbered between two prime numbers gets a low score.

2) Other than one player, all other players who are seated on chairs that are numbered as even numbers do not get a moderate score.

3) The players who are seated on chairs that are numbered as multiples of 4 do not get high scores.

4) Other than one player, all other players who are seated on chairs that are numbered as prime numbers do not get high scores.

5) Among the players seated on seats numbered 3 and 7, neither gets a moderate score, and their scores fall under different categories.

6) The players who are seated on chairs that are numbered as even numbers, but are not multiples of 4, do not get a moderate score.

Find the sum of seat numbers, which are even, and have players who definitely have high scores?

Question 12

Direction: Read the instructions given below and answer the questions that follow:

Twelve players seated around a circular table on chairs that are numbered from 1 to 12 are playing a game of dice. The possible scores of 1 to 6 are categorised. In any throw of a die, a score of 1 or 2 is considered low, a score of 3 or 4 is considered moderate, and a score of 5 or 6 is considered to be high.

The numbers of players getting low, moderate, and high scores are 5, 4, and 3, respectively.

The following information is also known:

1) The players who are seated on chairs that are numbered as either perfect squares or perfect cubes do not get high scores and only one of these players who is seated on a chair that is numbered between two prime numbers gets a low score.

2) Other than one player, all other players who are seated on chairs that are numbered as even numbers do not get a moderate score.

3) The players who are seated on chairs that are numbered as multiples of 4 do not get high scores.

4) Other than one player, all other players who are seated on chairs that are numbered as prime numbers do not get high scores.

5) Among the players seated on seats numbered 3 and 7, neither gets a moderate score, and their scores fall under different categories.

6) The players who are seated on chairs that are numbered as even numbers, but are not multiples of 4, do not get a moderate score.

For how many players who are seated on chairs that are numbered as even numbers can the scores be definitely categorised as low?

Question 13

Three partners A, B and C started a business by investing amounts in the ratio of 2 : 3 : 5 respectively for a year. At the end of the year, what is the difference between the profit shares of A and C, if the total profit at the end of the year is Rs. 21000?

Question 14

Jyoti, Isha and Pooja made initial investments of Rs. 2100, Rs. 2400 and Rs. 2700 respectively. After one year Jyoti, Isha and Pooja made additional investments of Rs. (x + 300), Rs. (x + 200) and Rs. (x + 100) respectively. Find the profit share of Isha out of the total profit of Rs. 6720 after two years.

Question 15

Suppose y varies as the sum of two quantities of which one varies directly, as x and the other varies inversely as x. If y = 6 when x = 4 and y = 3Description: E:\CAT\14-Oct\Quants_Arithmatic_Ratio-and-Proportion_files\image023.png when x = 3, then the relation between x and y is
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CAT & MBA
Mar 10CAT & MBA