CAT Practice Set 2022 11- QA, LRDI & VARC| Day 44

Hello CAT 2022 aspirants,
CAT Preparation 2022 in 60 days: As you are aware, the CAT exam 2022 for MBA admissions 2023–2025 has been scheduled on November 27. In the continuation of the CAT 2022 60 days preparation guide series of Careers360, we are here with a CAT mock test for day 44.

CAT Practice Set 2022

This article includes the subject- and topic-specific Sample questions and answers. Candidates must download the CAT mock test pdf and finish the mock test series from all three subjects to get the best idea of what the CAT exam 2022 requires. This CAT online practice set with detailed solutions is based on what we have covered in the last 43 days.

These CAT sample papers can help you prepare well and crack the exam in 2022.

This CAT previous year question paper consists of three Sections:

Part- A consists of 7 questions.

Part- B consists of 9 questions.

Part- C consists of 10 questions.

CAT Mock Test Series Part- A: Quantitative Aptitude CAT Test Sample Papers

Q1. If O is the centre of the circle, find the value of x- (y+ z)

1. 35°
2. 47°
3. 39°
4. 0°

Ans: (d)

y = z (Angle made by the same arc on the same side of the circle are equal)

x = 2y (Angle made by an arc at centre is double of the angle made by the same arc on the same side of the circle)

So,

x- (y+ z) = 0

Q2. In the adjoining figure ⦟A = 72° and ⦟ABC = 88°, ⦟BQC

1. 16°
2. 8°
3. 20°
4. 32°

Ans: (a)

⦟ADC = 180 - ⦟ABC (ABCD is a cyclic quadrilateral)

⦟ADC = 180 - ⦟ABC = 180 – 88 = 920

⦟BQC = 180 - ⦟ADC - ⦟A (sum of all angles of a triangle is 1800)

⦟BQC = 180 – 92 – 72 = 160

Q3. If ABC is a quarter circle of radius 1 cm and a circle is inscribed in it, find the radius of the smaller circle inscribed.

1. – 1+2√2
2. 1/2
3. – 1+ √2
4. 1 – √2

Ans: [D]

OB = 1 – radius of inscribed circle

Dimensions will be as shown in the figure;

r² + r² = (1-r)²

2r² = 1 + r² – 2r

r² + 2r – 1 = 0

On solving; r = (√2 – 1) cm

Q4. How many isosceles triangles (having integral length) are possible if the sum of two of its sides is 10?

1. 11
2. 14
3. 15
4. 23

Ans: (B)

Case 1: Sum of two equal sides = 10

Sides of the triangle should be 5, 5, a

Also, a < (5+ 5)

⇒ a = [1, 2, 3, 4, 5, 6, 7, 8, 9] 🡪 9 possible triangles are there.

Case 2: Sum of two unequal sides = 10

Sides of the triangle should be a, a, 10- a

a + a > 10- a and a < 10

3a > 10

a > 10/3 but less than 10; So, a can be 4, 5, 6, 7, 8, 9

If a =5 then other sides will also be 5 and 5. This case is already taken in Case1.

Here, five such triangles are possible.

Therefore, the answer is 9+ 5 = 14.

Q5. An equilateral triangle of side 6 cm, has its corners cut away to form a hexagon with all sides equal. Then the length of each side of the hexagon, in cms, is

Options:

1. 2√2
2. 1/2
3. 2
4. √2

Ans: [c]

A regular Hexagon PQRSTUV is formed as shown in the figure.

Interior angle of a regular hexagon = 1200

So, ⦟ ATS = ⦟AST = 180- 120 = 600

This makes triangle ATS an equilateral triangle

⇒ AT = TS = AS

Also, TS = TU = UP

From this we can say, sides of Triangle ABC is cut in such a way that

Side of regular Hexagon = Side of triangle /3 = 6/3 = 2 cm.

Q6. D, E, and F are the mid-points of the sides BC, CA and AB respectively of an equilateral triangle ABC. Determine the ratio of the perimeter and area of triangle DEF.

1. 1: 4
2. 1: 2
3. 2: 3
4. 4√3: 1

Ans: [d]

Let the side of triangle ABC = 2 cm.

Then, side of triangle DEF = 1 cm; Area = 34 cm2; Perimeter = 1x 3 = 3 cm.

Perimeter(DEF)Area (DEF)= 3 3/4 = 4√3: 1

Q7. One card is picked from the deck of cards which turned out to be red. What is the probability of it being a face card?

1. 3/13
2. 3/26
3. 1/13
4. 2/13

Ans: [a]

Total Outcome = 26 (Red Cards)

Possible outcomes = 6 (face cards of red colour)

Probability = 6/26 = 3/13

CAT Online Practice Paper Part B: LRDI (Logical Reasoning and Data Interpretation) CAT Online Practice Set

Data Sufficiency (Q1-Q3):

Direction:

1. Statement I alone is sufficient to answer this question but statement II is not sufficient to answer this question.
2. Statement II alone is sufficient to answer this question but statement I is not sufficient to answer this question.
3. None is sufficient to answer this question.
4. Both statements together are sufficient to answer this question

Q1. On which day Sumit goes to Delhi?

Statement I: According to Sumit’s sister Sumit goes to Delhi after Tuesday and before Sunday but he did not go to Delhi on Thursday.

Statement II: According to Sumit’s father Sumit goes to Delhi after Monday and before Saturday.

Ans: [c]

Statement I:

Using the given information we can say that Sumit goes on to trip on one of the days Wednesday, Friday or Saturday. Hence, data in statement I alone is not sufficient.

Statement II:

Using the given information we can say that Sumit can go on to trip on any of the days among Tuesday, Wednesday, Thursday and Friday.
Hence, data in statement II alone is also not sufficient.

Combining statements I and II:

From Statement I, we figured out that Sumit goes on to trip on one of the days Wednesday, Friday and Saturday.

From Statement II, we figured out that Sumit can go on to trip on any of the days among Tuesday, Wednesday, Thursday and Friday.

After, compiling the above information we can say that Sumit goes to Delhi on either Wednesday or Friday.

Hence, data in statements I and II together are not sufficient.

Q2. How is Sonal definitely related to Pramila?

Statement I: Sonal's mother is the sister of Pramila's father.
Statement II: Pramila is the daughter of Sonal's grandfather's only son.

Ans: [C]

Statement I: Sonal's mother is the sister of Pramila's father.

Here, we can observe that a direct relationship between Sonal and Pramila can't be established as Sonal's gender is not known. Clearly, Statement I alone is not sufficient to answer the question.

Statement II: Pramila is the daughter of Sonal's grandfather's only son.

Here, a direct relationship between Sonal and Pramila can't be established as it's not given as Sonal's paternal or maternal grandfather is being referred to here. Because of this, the statement stays ambiguous.

Clearly, Statement II alone is not sufficient to answer the question.

Combining Statements, I and II:

Statement I: Sonal's mother is the sister of Pramila's father.

Statement II: Pramila is the daughter of Sonal's grandfather's only son.

Even if we combine the two statements above, we do not get the gender of Sonal and therefore statements I and II together are not sufficient to reach the answer.

Q3. Five persons – Arun, Bimal, Chaman, Deepak and Eshan, each earn a different amount of money. Who among these persons earns the second highest?

Statement I: Only Chaman earns more than Bimal.
Statement II: Deepak and Eshan earn less than Arun.

Ans: [A]

Statement I: Only Chaman earns more than Bimal.
After using the above references, we have

Order of Earnings:

Chaman > Bimal > ____ > ____ > ____

Here, we can say that Bimal earns the second highest.
Clearly, Statement I alone is sufficient to answer the question.

Statement II: Deepak and Eshan earn less than Arun.
After using the above references, we have

Order of Earnings:
Arun > Deepak/Eshan

Here, we have no sure information about the earnings of any of these persons.

Clearly, Statement II alone is not sufficient to answer the question.
Here, the data in Statement I alone is sufficient to answer the question.
Hence, the correct answer is option A.

Direction: (Q4- Q6)

India, Pakistan, Malaysia, South Korea, Japan and China are to take part in the Asian Hockey Championship. In the first round, each team plays each of the other teams exactly once. At this stage, two points are awarded for a win, one point for a draw and zero points for a loss. After all the matches are played, the top two teams, in terms of the points scored, advance to the finals. In case two or more teams end up with the same number of points, the team with a better goal difference is placed higher.

Q4. The total number of matches in the tournament is

1. 21
2. 22
3. 15
4. 16

Ans: [D]

The total number of matches in the tournament = 5 + 4 + 3 + 2 + 1 + 1 (finals) = 16

Q5. What is the minimum number of points with which a team can advance to the finals?

1. 6
2. 5
3. 4
4. 3

Ans: [C]

The minimum number of points would be required when one of the teams scores the maximum points and the remaining teams equally share all the remaining points. Total points available = 15 × 2 = 30; Maximum points for a team = 5 × 2 = 10. The remaining 20 points can be shared by all five teams, and one of those teams with four points would advance to the finals on the basis of the goal difference.

Q6. What is the maximum number of points that can be scored by a team, which failed to advance to the finals?

1. 8
2. 9
3. 6
4. 7

Ans: [A]

The worst case scenario for a team happens when three teams score the highest points and one of those teams is eliminated. Points scored by the last three teams (points only among themselves) = 6; remaining points = 24. These points can be shared by the teams, and one of the teams with 8 points could be eliminated on the basis of goal difference.

Direction: (Q7- Q9)

128 players take part in a Grand Slam tennis tournament. The tournament is scheduled to be held in seven rounds and in each round, in a match between two players, the winner advances to the next round and the loser is eliminated. There are no draws or byes in the tournament. The players who take part in the tournament are seeded from 1 to 128, with seed 1 being the top seed, seed 2 next and so on. The matches are scheduled in such a way that in any round, assuming there are no upsets, the highest-seeded player plays against the lowest-seeded player at that point, the next highest-seeded player always plays against the next lowest-seeded player and so on. An upset is said to happen when a lower-seeded player beats a higher-seeded player. The schedule of matches in the next round remains unchanged in case of an upset in a round, with the only difference being that the player who caused the upset advances to the next round and takes the designated place of the player he upset.

Q7. In case of no upsets in the tournament, in which round would the player seeded 10 faces a player seeded higher than him?

1. 2nd round
2. 3rd round
3. 4th round
4. 5th round

Ans: [C]

A player seeded 10, assuming no upsets is expected to reach the last 16 stages, i.e., the fourth round. In this round, he would face the player seeded 7 and would be eliminated.

Q8. How many players in the tournament won exactly one match?

1. 15
2. 24
3. 30
4. None of these

Ans: [D]

The players who won exactly one match are those who won the first round but lost in the second round, i.e., 64 – 32 = 32 players.

Q9. Assuming no upsets, which player beat seed No.25?

1. Seed 8
2. Seed 6
3. Seed 1
4. Seed 14

Ans: [A]

The player seeded 25 would have lost to the player seeded 8.

CAT Mock Test Part C: VARC (Verbal Ability & Reading Comprehension) Questions

Direction (Q1-Q3): There are errors in three out of four parts. You must choose the grammatically correct part as your answer.

Q1: But they could strived harder (a)/ to upheld democratic rights (b)/ and constitutional principles at home (c)/. That is critical in promote sustainable development. (d)/ none correct (e)

Ans: [C]

Explanation: they could strive harder to uphold democratic rights and constitutional principles at home. That is critical to promote sustainable development.

Part (a): strive will replace strived

Part (b): uphold will replace upheld

Part (d): to will replace in

Thus, option c is the correct option.

Q2: The agreement with Mehta was towards (a)/ partial assignment of the rights to made records (b)/ in gramophone and in talkies and no other (c)/ sound produced broadcast device’ for a lump sum of Rs 450 and a royalty of one anna per record sold (d)/ none correct(e).

Ans: [A]

Explanation: The agreement with Mehta was towards ‘partial assignment of the rights to make records in gramophone and in talkies and my other sound-producing broadcast device’ for a lump sum of Rs 450 and a royalty of one anna per record sold.

Part (b) : made will replace make.

Part (c) : any will replace no

Part (d) : producing will replace produced

Thus, option B is the correct option.

Q3: The past shaped the way we are (a)/ today not only the world we grow out (b)/ in, where we struggled with (c)/ conflicts the seeds of whom were sown long ago. (d)/ none correct (e)

Ans: [A]

Explanation: the past shaped the way we are today- not only the world we grow up in, where we struggle with conflicts the seeds of which were sown long ago.

Part (b): up will replace out

Part (c): struggle will replace struggled

Part (d): which will replace whom

Thus, option B is the correct option

Direction (Q4-Q6): One part contains an error. You must choose the grammatically incorrect part as your answer.

Q4: Meanwhile, in an effort to keep (a)/ its flock together, the part herd (b)/ its elected partymen and two (c)/ independent legislators to a resort on the outskirts of the city. (d)/ no error (e)

Ans: [B]

Explanation: part (b) has an error as herd will get replaced by herded.

Q5: It was a long wait for the tribals (a)/ from the morning for their near and dear (b)/. They even refused to take (c)/ breakfast and water as all of them were stricken of grief (d)/ no error (e)

Ans: [D]

Explanation: part (d) has an error as ‘stricken of’ will get replaced by ‘stricken with’.

Q6: You deferred the case many a (a)/ times for the Centre. If that (b)/ had not happened, we (c)/ would not had been in this situation (d)/ No error (e)

Ans: [D]

Explanation: part (d) has an error as have will replace had.

Q7: Pulling away the boat is not difficult (a)/ if the latest equipment is with (b)/us and if the boat (c)/ has not overturned. (d)/ No error (e)

Ans: [A]

Explanation: part (a) has an error as ‘pulling away’ will get replaced by ‘pulling out’.

Direction (Q8- Q10): Choose the correct option and complete the given sentences.

Q8. The tunnel ___ for extracting smoke and stale air and for infusing fresh air. It will have state-of-the-art monitoring and control systems for security.

1. Will be checked
2. Will be blocked
3. Will have forced ventilation
4. Will have a corridor
5. Will soon make to prepare

Ans. Option C

Explanation: will have forced ventilation as the tunnel which has been mentioned in the statement will have ventilation that will force smoke and stale air out of it. The word “infusing” makes it easy to choose.

Q9. When India’s largest political party pursues such a strategy and finds it electorally rewarding, it ______ by other political parties.

1. May be rejected
2. May be emulated
3. May be ignored
4. May be protested
5. May be gone through

Ans. Option B

Explanation: may be emulated as the political strategy which is electorally rewarding has been talked about in the context of the statement, it is obvious that it may be emulated/ copied by the other parties.

Q10. The argument for a uniform civil code (UCC) ______ in a modern nation-state as long as it is rational, non-discriminatory and promotes social equality and gender justice.

1. Is invoking
2. Is provoking
3. Is rescind
4. Is void
5. Is irrefutable

Ans. Option E

Explanation: This is irrefutable as the Uniform Civil Code can’t be disapproved.