Road to CAT 2023 Success: Elevate Your Prep with Top Practice Set Questions- Day 40

Hello CAT 2023 aspirants,

The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26. In this CAT 2023 60-day preparation guide series of Careers360, we are here with the CAT exam sample paper for day 40. This CAT exam sample paper can help you prepare well and crack the CAT entrance test in 2023.

CAT Preparation 2023 in 60 days

CAT Test Practice: The subject- and topic-specific CAT Sample questions with answers are included in this article. Candidates must download the CAT mock test pdf and finish the CAT sample papers from all three subjects to get the best idea of what the CAT exam requires. This CAT test sample paper with solutions is based on what we have covered in the last 39 days.

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One can avoid the negative marking in the objective-type questions provided in the free CAT Mock Test by practising the CAT test sample papers provided below. Keep track of the time spent on the CAT previous year question paper in order to finish the actual paper within the allotted time.

This CAT Test Practice consists of three sections:

CAT Exam Sample Paper Part- A consists of 8 questions.

CAT Exam Sample Paper Part- B consists of 7 questions.

CAT Exam Sample Paper Part- C consists of 10 questions.

CAT Exam Sample Paper Part- A: Quant Questions For Cat Exam 2023

CAT previous year question 1:

In how many ways 10 letters be sent to 8 addresses?

1. 8! X 10!

2. 8x 10

3. 8¹⁰

4. 10⁸

Ans: (B)

Each letter can be sent in 8 different ways.

So, 10 letters can be sent in 810 different ways.

CAT previous year question 2:

Q2. Find the number of Selections that can be made by taking four letters from the word CHITRANSHI.

1. 256

2. 12

3. 113

4. 32

Ans: (C)

CHITRANSHI contains 10 letters (out of which H and I come 2 times)

Case1: No alphabet is repeated

C H I T R A N S

4 selected out of 8 = ⁸C₄ ways = 70 ways.

Case 2: 2 H should be there.

Remaining 2 letters should be taken from C I T R A N S = ⁷C₂ ways = 21 ways

Case 3: 2 I should be there.

Remaining 2 letters should be taken from C H T R A N S = ⁷C₂ ways = 21 ways

Case 4: 2 H and 2 I should be there: only 1 way of selection.

Total = 70+ 21+ 21+ 1= 113 ways.

CAT previous year question 3:

In how many different ways can 7 persons sit in a row of 11 chairs?

1. ¹²C₄

2. ¹²C₅

3. ¹²P₅

4. ¹²P₇

Ans: [D]

Number of ways of arranging r persons at n places = ⁿP_r

CAT previous year question 4:

In which regular polygon are the diagonals triple the number of sides?

1. Quadrilateral

2. Hexagon

3. Decagon

4. Nonagon

Ans: (D)

Number of diagonals in regular polygon of side n = n(n-3)/2

So, n(n-3)/2 = 3n,

On solving, we get n =9.

CAT previous year question 5:

The number of positive integral solutions of the equation a+ b+ c+ d = 25:

1. ²⁵C₃

2. ²⁵C₄

3. ²⁹C₃

4. ²⁵C₄

Ans: [A]

a+ b+ c+ d = 25

Number of positive integral solutions = ⁿC_r-1; where r? number of variables i.e. 4, n =25.

So, answer will be ²⁵C₃

Probability previous year question 6:

Which of the following can not be the probability of an event?

1. 4/3

2. 2/3

3. 90%

4. 0.7

Ans: [A]

Probability of an event cannot be greater than 1.

CAT previous year question 7:

One day is picked from the month of February 2012. If it turns out to be a Monday, what is the probability that it is 8th of February?

1. 1/5

2. 1/4

3. 1/31

4. 0

Ans: [A]

In February 2012, Monday will fall on 1, 8, 15, 22 and on the 29th of the month.

So, the probability = 1/5.

CAT previous year question 8:

The probability of drawing a white and a yellow in succession in that order from a bag containing 7 white and 5 yellow balls, when the ball that is drawn first is not replaced.

1. 35/132

2. 35/144

3. 49/114

4. 7/22

Ans: [A]

Probability of getting first ball white and second ball yellow when the first ball is not replaced.

P(WY) = 7/12 x 5/11 = 35/132.

CAT Exam Sample Paper Part-2: LRDI CAT Previous Year Question Paper

Direction (Q1-Q3):

Comprehension:

Each of five friends A, B, C, D and E received some amount of money. D received `20 more than B. Each of them bought at least one book. The cost of any book purchased by them is the same. The number of books bought by E is the maximum. The amount left with D is half of the amount left with B. B is left with an amount which is equal to the cost of exactly one book. The number of books bought by A is equal to the number of books bought by B and C. All of them together bought 9 books. The amount received by and the amounts left with each of them are integral values.

Logical reasoning question 1:

What is the cost of a book (in Rs)?

1. 60

2. 40

3. 30

4. 20

Ans: [B]

Logical reasoning question 2:

What is the amount received by D (in Rs)?

1. 100

2. 140

3. 80

4. 120

Ans: [A]

Logical reasoning question 3:

What is the number of books bought by E?

1. 3

2. 4

3. 2

4. Either (A) or (B)

Ans: [A]

Solution:

The given data can be tabulated as shown below:

Given that, the amount left with D is half of the amount left with B, hence the number of books bought by D is 2 and hence E bought 3 books. Since the amount left with D is less than the amount left with B

Let the amount left with B = B2 and the cost of a book = x.

Then B2 = x (Amount left with D = x/2 )

As B bought one book, the amount received by B = x + x = 2x.

Given, D = 2x + x/2 , D = B + 20 ⇒ 5x/2 = 2x + 20 ⇒ x = 40

(∴ Price of a book = 40). 4. Cost of a book is `40. Choice (B)

5. Amount received by D is `100. Choice (A)

6. E bought 3 books. Choice (A)

Direction for Q4-Q7

Each of the seven students – G to M – studies exactly one subject among – mathematics, physics and chemistry and plays exactly one game among – cricket, hockey and tennis. At least two students study each subject and play each game. No two students who study the same subject play the same game. The following information is known about them.

Either H or M studies physics but neither of them plays tennis. J plays either cricket or hockey but does not study chemistry. Neither G nor K studies mathematics and neither of them play cricket. J and K study the same subject. M and I study the same subject. L plays either tennis or hockey but not the same game which K plays. Neither M nor H plays cricket.

Logical reasoning question 4:

Who among the following studies chemistry?

1. J

2. G

3. M

4. N

Ans: [B]

Logical reasoning question 5:

Which subject does M study?

1. Mathematics

2. Chemistry

3. Physics

4. Either physics or chemistry

Ans: [A]

Logical reasoning question 6:

Which of the given ‘person – subject – game’ combinations is true?

1. H – physics – cricket

2. G – chemistry – hockey

3. I – mathematics – cricket

4. L – physics – tennis

Ans: [C]

Logical reasoning question 7:

Four of the following five are alike in a certain way and hence form a group. Find the one which does not belong to that group.

1. H – hockey

2. J – physics

3. M – hockey

4. L – mathematics

Ans: [D]

Solution:

It is given that at least two students study each subject and play each game. No two students who study the same subject do not play the same game. Either H or M studies physics but neither of them plays tennis. J plays either cricket or hockey but does not study chemistry. Neither G nor K studies mathematics and plays cricket. J and K study the same subject. Hence both J and K study physics. K has to play either hockey or tennis. If K plays hockey either H or M has to play tennis. Hence, K plays tennis. G plays either mathematics or chemistry. But G does not study mathematics hence G studies chemistry. It can be represented as follows.

One among H and M studies mathematics and the other studies physics. As M and I study the same subject, M and I study mathematics and H studies physics. L studies chemistry. L plays either tennis or hockey but not the same game which K plays. Hence, L plays hockey. Neither M nor H plays cricket. Hence, both play hockey. J and I play cricket.

Q4. G studies chemistry. Choice (B)

Q5. M studies mathematics. Choice (A)

Q6. ‘I – mathematics – cricket’ is true. Choice (C)

Q7. Except ‘L – mathematics’, in all other options the person and their respective subject or game is given. Choice (D)

CAT Exam Sample Paper Part-3: CAT Exam Preparation 2023: VARC (Verbal Ability & Reading Comprehension) Questions

Direction (Q1-Q2): Find the best-suited phrase for the underlined part.

Verbal ability question 1:

The art studio is spacious, pleasantly cluttered, and has good lighting.

1. And has good lighting

2. And being well-lit

3. And is lit well

4. And well- lit

5. And the lighting is good

Ans: [D]

Explanation: spacious, pleasantly cluttered are adjectives. Hence, we use an adjective with the sentence. Option a, b, c is a verb phrase and option e is a clause hence option D is correct.

Verbal ability question 2:

Some of the many renovations set for Memorial field in the coming years include building additional seating and the construction of a new varsity athletics centre.

1. And the construction of a new varsity athletics centre.

2. And constructing a new varsity athletics centre.

3. And, the construction of a new varsity athletics centre.

4. And a new varsity athletics centre.

5. And a new varsity athletics centre is under construction.

Ans: [B]

Explanation: it should be in _ing form to make sentences parallel correct. Hence option B is correct.

Direction (Q3-Q4): In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error

Verbal ability question 3:

The United Nations General Assembly unanimously declared 2nd April as (a)/ World Autism Awareness Day to highlight the need to (b)/ help improve the quality of life of those with autism so that they can lead (c)/ meaningful lives as an integral part of the society. (d)/ No error (e)

1. (a)

2. (b)

3. (c )

4. (d)

5. (e)

Ans: [C]

Explanation: ‘help’ will be used in place of helping as it will take the first form of the verb with itself. Hence error is in part C.

Verbal ability question 4:

Meditation is the highest spiritual (a)/ technique that needs to be practised (b)/ diligently and devotedly (c)/ by qualified practitioners. (d)/ No Error (e)

1. (a)

2. (b)

3. (c )

4. (d)

5. (e)

Ans: [B]

Explanation: use needs as technique is singular.

Direction [Q5-Q6]: Give a suitable word for the given phrase in the question.

Verbal ability question 5:

The violent storm made it difficult for them to reach the shore.

1. Weather

2. Rains

3. Breeze

4. Tempest

Ans: [D]

Explanation: Tempest refers to violent windstorms in the form of rain, hail, and snow. Hence option D is correct.

Verbal ability question 6:

A person who dishonestly pretends to be somebody else.

1. Imperialist

2. Impressionist

3. Implorer

4. Imposter

Ans: [D]

Explanation: imposter refers to a person who deceives with fake character, identity. Hence option D is correct.

In the next 2 questions, there is a blank space. Below each such sentence, there are five options with one word each. Fill up the blank with the word that makes the sentence grammatically and contextually correct.

Verbal ability question 7:

Jason won the lottery and then watched all of his money ____ after marrying a gold digger who only cared about shopping.

1. Contravene

2. Dissipate

3. Defunct

4. Both (a) and (b)

5. Evince

Ans: [B]

Explanation: dissipate- disappear or cause to disappear.

Verbal ability question 8:

Our National debt places a ___ on our economy’s ability to grow.

1. Restrict

2. Liberal

3. Allowing

4. Constraint

5. Both (a) and (b)

Ans: [D]

Explanation: a limitation or restriction.

In the next 2 questions, a word has been used in sentences in three different ways. Choose the option corresponding to the sentence in which the usage of the word is correct/ appropriate.

Verbal ability question 9:

RUSE

1. The security guard knew the girls were going to try and use a distractive ruse in order to shoplift.

2. When I could no longer ruse my blaring alarm clock, I drug myself out of the bed.

3. Emma tried to think of a ruse to get Paul out of the house.

4. Only I

5. Only II

6. Only III

7. Both (I) and (III)

8. Both (II) and (III)

Ans: [D]

Explanation: Only (ii) is incorrect. RUSE means an action intended to deceive someone, a trick.

Verbal ability question 10:

ESCHEW

1. Because I am a strict Christian, I tend to eschew events that are not religious in nature.

2. Even though I love coffee, I have chosen to eschew the beverage because of the damage it does to my teeth.

3. As the clumsy camper slid down the mountainside, he was finally able to eschew a tree limb and hang on until rescuers arrived.

4. Only I

5. Only II

6. Only III

7. Both I and II

8. Both II and III

Ans: [D]

Explanation: only III is incorrect. ESCHEW means deliberately avoiding using; abstain form.

Day 41 will be posted tomorrow! Till then

Keep practising, keep learning!

Thank you!

All the best!