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For the candidates preparing for CAT 2025, persistent practice and strategic thinking are essential to securing a high score. On Day 40 of our 60-day prep series, we present you with a specially handpicked selection of best practice questions to boost your problem-solving ability in Quantitative Aptitude (QA), Logical Reasoning & Data Interpretation (LRDI), and Verbal Ability & Reading Comprehension (VARC). These sets of practice are set to replicate the real CAT exam pattern to improve your accuracy, speed, and test-taking approach. In this article, we are presenting expert-chosen questions, in-depth solutions, and time-saving strategies to assist you in taking your preparation to the next level and building confidence in CAT 2025.
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 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 previous year question 1:
In how many ways 10 letters be sent to 8 addresses?
8! X 10!
8x 10
810
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.
256
12
113
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?
12C4
12C5
12P5
12P7
Ans: [D]
Number of ways of arranging r persons at n places = nPr
CAT previous year question 4:
In which regular polygon are the diagonals triple the number of sides?
Quadrilateral
Hexagon
Decagon
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:
25C3
25C4
29C3
25C4
Ans: [A]
a+ b+ c+ d = 25
Number of positive integral solutions = nCr-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?
4/3
2/3
90%
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?
1/5
1/4
1/31
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.
35/132
35/144
49/114
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.
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)?
60
40
30
20
Ans: [B]
Logical reasoning question 2:
What is the amount received by D (in Rs)?
100
140
80
120
Ans: [A]
Logical reasoning question 3:
What is the number of books bought by E?
3
4
2
Either (A) or (B)
Ans: [A]
Solution:
The given data can be tabulated as shown below:
Names | A | B | C | D | E |
Amount got | B1 | B1 +20 | |||
No. of books bought | 2 | 1 | 1 | 2 0r 1 | 3 or 4 |
Amount left | B2 | B2/2 |
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?
J
G
M
N
Ans: [B]
Logical Reasoning Question 5:
Which subject does M study?
Mathematics
Chemistry
Physics
Either physics or chemistry
Ans: [A]
Logical Reasoning Question 6:
Which of the given ‘person – subject – game’ combinations is true?
H – physics – cricket
G – chemistry – hockey
I – mathematics – cricket
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.
H – hockey
J – physics
M – hockey
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.
Person | Subject | Game |
G | CHEMISTRY | |
H | ||
I | ||
J | PHYSICS | |
K | PHYSICS | Tennis |
L | ||
M |
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.
Person | Subject | Game |
G | CHEMISTRY | Tennis |
H | Physics | Hockey |
I | Maths | Cricket |
J | PHYSICS | Cricket |
K | PHYSICS | Tennis |
L | Chemistry | Hockey |
M | Maths | Hockey |
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)
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.
And has good lighting
And being well-lit
And is lit well
And well- lit
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.
And the construction of a new varsity athletics centre.
And constructing a new varsity athletics centre.
And, the construction of a new varsity athletics centre.
And a new varsity athletics centre.
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)
(a)
(b)
(c )
(d)
(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)
(a)
(b)
(c )
(d)
(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.
Weather
Rains
Breeze
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.
Imperialist
Impressionist
Implorer
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.
Contravene
Dissipate
Defunct
Both (a) and (b)
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.
Restrict
Liberal
Allowing
Constraint
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
The security guard knew the girls were going to try and use a distractive ruse in order to shoplift.
When I could no longer ruse my blaring alarm clock, I drug myself out of the bed.
Emma tried to think of a ruse to get Paul out of the house.
Only I
Only II
Only III
Both (I) and (III)
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
Because I am a strict Christian, I tend to eschew events that are not religious in nature.
Even though I love coffee, I have chosen to eschew the beverage because of the damage it does to my teeth.
As the clumsy camper slid down the mountainside, he was finally able to eschew a tree limb and hang on until rescuers arrived.
Only I
Only II
Only III
Both I and II
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!
In mathematics, a permutation is the arrangement of things in a specified order, while a combination is the selection of elements from a collection without regard for order. Permutations and combinations affect the calculation of event probabilities. The more components in a set, the more ways they may be arranged, and the less probable a certain arrangement will occur.
Probability is the possibility that something will happen. It helps us forecast the likelihood of an occurrence and is often stated as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that it will definitely occur.
The probability of a sure event (something that is guaranteed to occur) is 1. This signifies that the event will happen without any doubt.
The chance of a null event, often called an impossible occurrence, is zero. This implies that the event cannot occur at all.
Try to read as much as possible, read article and newspaper and complete mock test sets
Hi aspirant,
You can refer to the link attached above for more information on the same.
All the best!
Hi aspirant,
You can refer to the link given above for more information on the same.
All the best!
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
Identify Weak Sections:
I hope you got your answer, That's all Thank you.
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
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