All Courses
Get the App Signup / Login
Sign in Open App
CAT Exam  >  CAT Tests  >  Daily Test for CAT Preparation  >  CAT Practice Test: Week 3 - CAT MCQ

CAT Practice Test: Week 3 - CAT MCQ


Test Description

30 Questions MCQ Test Daily Test for CAT Preparation - CAT Practice Test: Week 3

CAT Practice Test: Week 3 for CAT 2024 is part of Daily Test for CAT Preparation preparation. The CAT Practice Test: Week 3 questions and answers have been prepared according to the CAT exam syllabus.The CAT Practice Test: Week 3 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT Practice Test: Week 3 below.
Solutions of CAT Practice Test: Week 3 questions in English are available as part of our Daily Test for CAT Preparation for CAT & CAT Practice Test: Week 3 solutions in Hindi for Daily Test for CAT Preparation course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt CAT Practice Test: Week 3 | 30 questions in 60 minutes | Mock test for CAT preparation | Free important questions MCQ to study Daily Test for CAT Preparation for CAT Exam | Download free PDF with solutions
CAT Practice Test: Week 3 - Question 1
Save

A group of friends have some money which was in an increasing GP. The total money with the first and the last friend was Rs 66 and the product of the money that the second friend had and that the last but one friend had was Rs 128. If the total money with all of them together was Rs 126, then how many friends were there?

Detailed Solution for CAT Practice Test: Week 3 - Question 1

The sum of money with the first and the last friend = 66. This can be used as a hint. Let us assume the first friend was having Rs 2 and the last friend was having Rs 64. So, the money can be in the sequence 2, 4, 8, 16, 32, 64. It satisfies the given conditions. Alternatively, this can be done by using the formula for tn of GP also.

CAT Practice Test: Week 3 - Question 2
Save

The AM o f two given positive numbers is 2. I f the larger number is increased by 1, the GM of the numbers becomes equal to the AM of the given numbers. Then the HM of the given numbers is

Detailed Solution for CAT Practice Test: Week 3 - Question 2

Let the numbers be a and b. let a be the larger.

1 Crore+ students have signed up on EduRev. Have you? Download the App
CAT Practice Test: Week 3 - Question 3
Save

A GP consists of 1000 terms. The sum of the terms occupying the odd places is Pj and the sum of the terms occupying the even places is P2. Find the common ratio of this GP.

Detailed Solution for CAT Practice Test: Week 3 - Question 3

Take any small sample of 4 terms of any GP viz. 1, 2, 4 and 8. Its common ratio = 2 = (8+2)/(1 +4) And this will be true for any number of terms as long as we are taking total number of terms as even(in this question, it is given as 1000). However, if the total number of terms is given as odd, we cannot find the common ratio in this way, because the number of odd terms ≠ number of even terms.

CAT Practice Test: Week 3 - Question 4
Save

 If the roots of x3 - 12x2 + 39x - 28 = 0 are in an AP then their common difference is
Detailed Solution for CAT Practice Test: Week 3 - Question 4

Factorize the equation and we get ( x - 1 ) ( x - 4 ) ( x - 7 )

CAT Practice Test: Week 3 - Question 5
Save

If the nth term of AP is m and the nth term of the same AP is m, then (m + n)th term of AP is
Detailed Solution for CAT Practice Test: Week 3 - Question 5
  • Tn = m = a + (n - l ) d
  • Tm = n= a + (m - l ) d
  • subtracting them we get d=-1
  • and a=m+n-1
  • Add the two and solve through the options given.
  • then (m + n)th term of AP= a+(m+n-1)d
  • Putting values of a and d in the solution, we get
  •                                         =  m+n-1+(m+n-1)x-1
  •                                         = 0
CAT Practice Test: Week 3 - Question 6
Save

If a, b and c are positive integers, then find the product of (a + b) (b + c) (c + a).
Detailed Solution for CAT Practice Test: Week 3 - Question 6

Put a= l, b = 2 c = 3 and check through options.

CAT Practice Test: Week 3 - Question 7
Save

The mid-points of the adjacent sides of a square are joined. Again the mid-points of the adjacent sides of the newly formed figure are connected and this process is repeated again and again. Calculate the sum of the areas of all such figures given that the diagonal of outermost square is 6√2cm.
Detailed Solution for CAT Practice Test: Week 3 - Question 7

The side of the outermost square is 6 cm. Area of the square one in G.P with first term 36 and common ratio = 1/2

CAT Practice Test: Week 3 - Question 8
Save

There are three numbers in arithmetic progression. If the two larger numbers are both increased by one, then the resulting numbers are prime. The product of these two primes and the smallest of the original numbers is 598. Find the sum of the three numbers.
Detailed Solution for CAT Practice Test: Week 3 - Question 8

Let three numbers are 2,12,22
Two larger numbers are increased by 1 : 13,23
New three numbers : 2,13,23
Product of these numbers is equal to 598.
=> 2*13*23 = 598
Sum of the three numbers = 2+13+23 
= 36

CAT Practice Test: Week 3 - Question 9
Save

In how many ways can we select three natural numbers out of the first 10 natural numbers so that they are in a geometric progression with the common ratio greater than 1?
Detailed Solution for CAT Practice Test: Week 3 - Question 9

1,2,4 is GP with first term 1 and common ratio 2(>1).
1,3,9 is GP with first term 1 and common ratio 3(>1).
2,4,8 is GP with first term 2 and common ratio 2(>1).
Only 3 ways.

CAT Practice Test: Week 3 - Question 10
Save

If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59, 6 . . . , then what is the value of nl
Detailed Solution for CAT Practice Test: Week 3 - Question 10

CAT Practice Test: Week 3 - Question 11
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

2,2,5, 13,28,?
Detailed Solution for CAT Practice Test: Week 3 - Question 11

The pattern is + 0, + 3, + 8, + 15, ..... i.e. + (l2 - 1), + (22 - 1), + (32 - 1), + (42 - 1), .....

So, missing term = 28 + (52 - 1) = 28 + 24 = 52.

CAT Practice Test: Week 3 - Question 12
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

0, 2, 8, 14, ?, 34
Detailed Solution for CAT Practice Test: Week 3 - Question 12

The pattern is + 2, + 6, + 6, + 10, + 10,.....

So, missing term = 14 + 10 = 24.

CAT Practice Test: Week 3 - Question 13
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

1, 5, 14, 30, 55, 91, ?
Detailed Solution for CAT Practice Test: Week 3 - Question 13

The pattern is + 4, + 9, + 16, + 25, + 36, ..... i.e. + 22, + 32, + 42, + 52, + 62,.....

So, missing term = 91 + 72 = 91 + 49 = 140.

CAT Practice Test: Week 3 - Question 14
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

In the series 10, 17, 24, 31, 38,.....which of the following will be a number of the series ?
Detailed Solution for CAT Practice Test: Week 3 - Question 14

The given series consists of numbers each of which, on dividing by 7, leaves a remainder 3.

No other number except 346 satisfies the property.

CAT Practice Test: Week 3 - Question 15
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

240, ?, 120, 40, 10, 2
Detailed Solution for CAT Practice Test: Week 3 - Question 15

The pattern followed is

240÷1=240

240÷2=120

120÷3=40

40÷4=10

10÷5=2

Hence the number is 240

CAT Practice Test: Week 3 - Question 16
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

2,3,8,27, 112,?
Detailed Solution for CAT Practice Test: Week 3 - Question 16

The pattern is:

(a*1) + 1, (a*2) + 2, (a*3) + 3, (a*4) + 4, (a*5) + 5

So, missing term = 112 x 5 + 5 = 565.

CAT Practice Test: Week 3 - Question 17
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

6, 17, 39, 72, ?
Detailed Solution for CAT Practice Test: Week 3 - Question 17

The pattern is + 11, + 22, + 33, .....

So, missing term = 72 + 44 = 116.

CAT Practice Test: Week 3 - Question 18
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

20, 20, 19, 16, 17, 13, 14, 11, ?, ?
Detailed Solution for CAT Practice Test: Week 3 - Question 18

Let the missing terms of the series be x1 and x2.

Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11, xv x2 is a combination of two series :

I. 20, 19, 17, 14, x1 and II. 20, 16, 13, 11, x2

The pattern in I is - 1, - 2, - 3,......So, missing term, x1 = 14 - 4 = 10.

The pattern in II is - 4, - 3, - 2,......So, missing term, x2 = 11 - 1 = 10.

CAT Practice Test: Week 3 - Question 19
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

24, 60, 120, 210, ?
Detailed Solution for CAT Practice Test: Week 3 - Question 19

The pattern is + 36, + 60, + 90,.....i.e. + [6 x (6 + 0)], + [6 x (6 + 4)], + [6 x (6 + 9)],...
So, missing term = 210 + [6 x (6 + 15)] = 210 + 126 = 336.

CAT Practice Test: Week 3 - Question 20
Save

Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

Question -

625, 5, 125, 25, 25, ?, 5
Detailed Solution for CAT Practice Test: Week 3 - Question 20

The given sequence is a combination of two series :

I. 625, 125, 25, 5 and II. 5, 25, ?

The pattern in I is ? 5, while that in II is x 5. So, missing term = 25 x 5 = 125.

CAT Practice Test: Week 3 - Question 21
Save

Find out the Synonym of the following word:

FAKE
Detailed Solution for CAT Practice Test: Week 3 - Question 21
  • Meaning of Fake: Not genuine, imitation or counterfeit.
  • Meaning of Original: present or existing from the beginning; first or earliest
  • Meaning of Trustworthy: able to be relied on as honest or truthful
  • Meaning of Loyal: giving or showing firm and constant support or allegiance to a person or institution
CAT Practice Test: Week 3 - Question 22
Save

Find out the Synonym of the following word:

INDICT
Detailed Solution for CAT Practice Test: Week 3 - Question 22
  • Meaning of Indict: Formally accuse of or charge with a crime.
  • Meaning of Condemn: express complete disapproval of; censure.
  • Meaning of Reprimand: a formal expression of disapproval
  • Meaning of Allege: claim or assert that someone has done something illegal or wrong, typically without proof
CAT Practice Test: Week 3 - Question 23
Save

Find out the Synonym of the following word:

STRINGENT
Detailed Solution for CAT Practice Test: Week 3 - Question 23
  • Meaning of Stringent: Strict, precise, and exacting.
  • Meaning of Dry: free from moisture or liquid; not wet or moist
  • Meaning of Strained: showing signs of nervous tension or tiredness
  • Meaning of Rigorous: extremely thorough and careful
  • Meaning of Shrill: (of a voice or sound) high-pitched and piercing
CAT Practice Test: Week 3 - Question 24
Save

Find out the Synonym of the following word:

LAMENT
Detailed Solution for CAT Practice Test: Week 3 - Question 24
  • Lament has two meanings out of which one is 'to complain'.
  • Meaning of Complaint: a statement that something is unsatisfactory or unacceptable
  • Meaning of Comment: a verbal or written remark expressing an opinion or reaction
  • Meaning of Condone: accept (behaviour that is considered morally wrong or offensive)
  • Meaning of Console: comfort (someone) at a time of grief or disappointment
CAT Practice Test: Week 3 - Question 25
Save

Find out the Synonym of the following word:

HESITATED
Detailed Solution for CAT Practice Test: Week 3 - Question 25
  • Meaning of Hesitated: Pause in indecision before saying or doing something.
  • Meaning of Stopped: (of an event, action, or process) come to an end; cease to happen.
  • Meaning of Paused: interrupt action or speech briefly
  • Meaning of Slowed: reduce one's speed or the speed of a vehicle or process
  • Meaning of Postponed: cause or arrange for (something) to take place at a time later than that first scheduled
CAT Practice Test: Week 3 - Question 26
Save

Foremost :
Detailed Solution for CAT Practice Test: Week 3 - Question 26

Hindmost : furthest back, latest or ultramodern.
Disposed : inclined or willing.
Mature : fully developed physically, full-grown.
Unimportant : lacking in importance or significance.
Foremost : most prominent in rank, importance, or position.

So, antonym is Unimportant.
 

CAT Practice Test: Week 3 - Question 27
Save

EXTRICATE
Detailed Solution for CAT Practice Test: Week 3 - Question 27
Definition:
Extricate means to free or release someone or something from a difficult or tangled situation.
Explanation:
To identify the correct answer, let's look at the meanings of the other options:
- Manifest: This means to display or show something clearly. It does not have the same meaning as extricate.
- Palpable: This means easily perceived or noticeable. It does not have the same meaning as extricate.
- Release: This means to set free or let go. It is a synonym of extricate and could be a possible answer.
- Entangle: This means to tangle or involve someone or something in difficulties or complications. It is the correct synonym of extricate and is the correct answer.
Therefore, the correct answer is D: Entangle.
CAT Practice Test: Week 3 - Question 28
Save

REPRESS
Detailed Solution for CAT Practice Test: Week 3 - Question 28
Explanation:
The word "repress" means to restrain, suppress, or hold back. The question is asking for a word that is the opposite in meaning to "repress." Let's examine the given options:
A. Inhibit: This word means to hinder, restrain, or prevent. It is similar in meaning to "repress," so it is not the correct answer.
B. Liberate: This word means to set free, release, or emancipate. It is the opposite of "repress" and is the correct answer.
C. Curb: This word means to control, limit, or restrain. It is similar in meaning to "repress," so it is not the correct answer.
D. Quell: This word means to suppress, calm, or pacify. It is similar in meaning to "repress," so it is not the correct answer.
Therefore, the correct answer is B. Liberate.
CAT Practice Test: Week 3 - Question 29
Save

ACQUITTED
Detailed Solution for CAT Practice Test: Week 3 - Question 29

In this sentence we would be selecting the word which is opposite to "acquitted" from the given options.
Acquit means to decide that someone is not guilty of a crime. Thus, the opposite would be to blame someone or charge someone guilty of a crime.
If we look into the options:
Entrusted means to give someone the responsibility of doing something
Convicted means to prove someone guilty of a crime. It is the correct option.
Burdened means heavily laden or encumbered or someone who has been given a lot of lead. 
Freed means not held physically.
 

CAT Practice Test: Week 3 - Question 30
Save

PROVOCATION
Detailed Solution for CAT Practice Test: Week 3 - Question 30

Provocation : action or speech that makes someone angry, especially deliberately.
Destruction : the action or process of causing so much damage to something that it no longer exists or cannot be repaired.
Peace : freedom from disturbance; tranquillity.
Pacification : an attempt to create or maintain peace.
Vocation : a strong feeling of suitability for a particular career or occupation.

Antonym of Provocation is Pacification.
 

152 docs|327 tests
Join Course
Information about CAT Practice Test: Week 3 Page
In this test you can find the Exam questions for CAT Practice Test: Week 3 solved & explained in the simplest way possible. Besides giving Questions and answers for CAT Practice Test: Week 3, EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

Download as PDF

Top Courses for CAT

Important Questions for CAT Practice Test: Week 3

Find all the important questions for CAT Practice Test: Week 3 at EduRev.Get fully prepared for CAT Practice Test: Week 3 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the CAT Practice Test: Week 3 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of CAT Practice Test: Week 3 resources.

CAT Practice Test: Week 3 MCQs with Answers

Prepare for the CAT Practice Test: Week 3 within the CAT exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for CAT Practice Test: Week 3 Daily Test for CAT Preparation

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace CAT Practice Test: Week 3 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup