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Hello CAT 2023 aspirants, CAT exam 2023 for MBA admission 2024-2026 will be held on November 26. In this CAT 2023 60 days preparation guide series of Careers360, we are going to discuss the strategies of day 21 that can help you prepare well and crack CAT entrance test 2023.
The following article includes CAT Logarithm questions and modulus, circular arrangement questions for CAT and VARC questions for CAT. CAT logarithm questions and modulus questions carry some difficult logarithm problems which students sometimes are unable to solve. Various difficult logarithm problems pdf can be found online. This topic needs thorough practice sessions as well. Students can also refer to logarithm previous year questions as well. CAT Preparation 2023 in 60 days
CAT Exam Important Topic: Algebra (CAT Logarithm questions and Modulus)
Logarithm is an important part of algebra and consistently asked in the CAT entrance exam. We will be also covering a few Logarithm CAT questions and on modulus as well. Students can also refer to the logarithm questions for CAT pdf as well for more practice.
In the simplest terms, what a logarithm is:
If ax = N, then x = loga N.
Here ‘a’ is the base of the logarithm.
For Example:
102 = 100; So, 2 = log10100
Modulus is a function which always returns a positive value. The graph of the modulus function is symmetric about the y- axis.
For Example:
If |x| =2, then x can be 2 or -2.
(a part of CAT Arithmetic questions) Learn all the properties related to Logarithm.
The following are some of the key characteristics of logarithms:
For example:
If x =y, then x2 = y2 and we can solve accordingly.
For example: find the number of digits in 212
Log 212 = 12 log 2 = 12 x 0.3010 = 3.612
Therefore, the number of digits in 212 will be (3+1 = 4)
Logarithms are used to solve exponential equations and hence can be used for the analysis while designing software or hardware.
Q1. For a real number a, if (log15a+log32a)/[(log15a) (log32a)] = 4 then a must lie in the range [CAT 2021, slot-3]
Solution: (1)
(log15a+log32a)/[(log15a) (log32a)] = 4
⇒ 1/ log32a + 1/log15a = 4
⇒ loga 32 + loga15 = 4 (Using base change property)
⇒ loga32x15 = 4
⇒ a4 = 32 x 15 = 480
Doing hit and trial;
24 = 16
34 = 81
44 = 256
54= 625; clearly a4 lies between 256 and 625.
So, a must lie between 4 and 5.
Q.2
equals ____________ [TITA, CAT 2020]
Solution:
Find the value of denominator first as follow:
(Log2 4)2 = 4
Using properties of logarithm
Log2 8 = Log28/ Log24 = 3/2
So, (Log48)3 = (3/2)3 = 27/8
Similarly,
Log816 = Log2 16/ Log2 8 = 4/3
So, (Log816)4 = 256/81
Therefore, denominator becomes 4 x (27/8) x (256/81) = 128/3
So,
= (2x 4 x 8 x 16)/(128/3) = 24
The Answer is 24.
Prerequisite:
References for Study (Theory):
References to Study (Practice):
CAT 2023 Syllabus Topic: Circular Arrangement questions for CAT (LR)
Type 1: All Persons facing the same direction (Simple)
Directions: Study the following information carefully and answer the questions given below:
Bhuvan, Mohan, Kartik, Hina, Tina, Ramu, David, and Aastha are sitting around a circle facing the centre. Ramu is third to the right of Bhuvan. Hina is second to the right of Aastha who is second to the right of Ramu. Karthik is third to the right of Tina who is not an immediate neighbour of Hina. David is second to the left of Tina.
Question 1: Who is to the immediate left of Mohan?
Question 2: Who is the third to the left of Bhuvan?
Question 3: Who is the third to the left of Hina?
Solution: From the given information, we can make the following figure.
Tricks: Use the Initials of the name while drawing diagrams.
Draw all possibility diagrams.
Answer 1: (d)
Answer 2: (b)
Answer 3: (b)
Type 2: Half are Males and Half are females
Direction: Study the following information to answer the given questions:
Asha, Binay, Chintu, Daman, Esha, Fatima, Gurmeet and Haresh are sitting around a circular table facing away from the centre where half of them are males and half are females. No two males or two females are immediate neighbours of each other.
Asha is the wife of Haresh. Asha sits third to the left of Esha. Binay sits second to the right of Daman. Daman is not an immediate neighbour of Asha or Esha. Haresh and Chintu are immediate neighbours of each other. Binay is not an immediate neighbour of his wife Fatima.
Q4: Which of the following is true about Gurmeet?
Q5: Who sits third to the left of Binay?
Q6: How many people sit between Binay and Fatima when counted in an anti-clockwise direction from Binay?
Solution:
Trick: Notice the important points first
Half are males and Half are females. No two males and no two females are together.
Do not consider a person male or female by their name. Haresh is male (Husband of Asha). Chintu should be female.
All are facing away from the centre:
Left : Anticlockwise
Right: Clockwise
Since Binay sits second to the right of Daman, Daman must be male as Binay is male.
So, male members are Haresh, Binay, Daman, and Esha
And female members are Asha, Fatima, Gurmeet, and Chintu
Since Daman cannot be a neighbour of Esha or Asha, Daman is at position 7, Binay must be at 5. Haresh will be at 3. So, Chintu will be at 2 and Fatima should be at 8.
Gurmeet will be at 6.
The arrangement will look like
Ans 4: (d)
Ans 5: (a)
Ans 6: (b)
Type 3: Half facing Centre and half facing away from the centre
Direction: Study the following information carefully and answer the questions given below:
Eight persons A, B, C, D, E, F, G and H are sitting around a rectangular table in such a way that two persons sit on each of the four sides of the table. Half of them are facing the centre and the remaining half are facing away from the centre. Persons sitting on opposite sides are exactly opposite to each other.
D faces North (Towards the centre) and sits exactly opposite to H. E is to the immediate left of H. A and G sit on the same side. G is exactly opposite of B who is to the immediate right of C. A is sitting to the left of D.
Q 7: From the following, who is facing South?
G
D
H
A
Ans: (C)
Q 8: If G is facing centre, who is right of B?
Ans: (B)
Q 9: Which of the following pairs of persons has both the persons sitting on the same side with the first person sitting to the right of the second person?
DF
CB
FC
Cannot be determined
Ans: (D)
Solution:
References for Study (Theory):
References to Study (Practice):
CAT Exam Important Topic: To solve cloze tests based on articles, tenses, prepositions etc.
The Cloze test is a combination of fill-in-the-blank and reading comprehension. In this exercise, incomplete words must be filled in using the available options.
A cloze test can be based on the following:
VARC CAT questions
You can better understand cloze tests by using the example below.
Direction (Q1-Q5)
Before the giant waves slammed into the coast in India and Sri Lanka, wild and domestic animals....(1)....to know what was about to happen.....(2)....fled to safety. According to eyewitnesses....(3)...., elephants screamed and ran for....(4)....grounds, dogs refused to go outdoors, flamingoes abandoned....(5)....low-lying breeding areas and zoo animals rushed into their shelters.
A. Seeming B. Were Seemed C. Seemed D. Seem
A. We B. Them C. Us D. They
A. Statement B. Accounts C. Explanations D. Narrations
A. High B. Higher C. Highest D. More high
A. our B. their C. theirs D. her
Ans:
(B) Were Seemed
(B) them
(D) Narrations is a suitable word.
(B) Comparative degree of high should be taken.
(B), since Flamingoes is plural.
References for Study (Theory):
References to Study (Practice):
We will be back with Day 22 of the CAT exam preparation guide 2023 for 60 days tomorrow. Do practice and be focused.
Thank You. All the best.
Hello aspirant,
Verbal Ability and Reading Comprehension, Quantitative Aptitude, Data Interpretation, and Logical Reasoning make up the majority of the CAT exam 2024 syllabus. The CAT Math, English, and CAT Geometry syllabuses make up the majority of the CAT 2024 syllabus.
To know complete syllabus in detail, you can visit our website by clicking on the link given below
https://bschool.careers360.com/articles/cat-2024
Thank you
Hope this information helps you.
Hello,
In the context of Karnataka's reservation categories, Vishwakarma is classified under Category 2A . Specifically:
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Hello aspirant,
A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.
To know complete information you can visit our website by clicking on the link given below.
Thank you
Hope this information helps you.
Hello student
As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:
1. *Business Registration Documents*:
- Partnership Deed (already have)
- Business PAN Card (already have)
- FSSAI License (already have, though it's in your partner's name)
2. *Proof of Business Ownership*:
- Affidavit or declaration stating your ownership and role in the cafe
- Business registration certificate (if you have one)
3. *Proof of Work Experience*:
- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe
- A detailed resume highlighting your entrepreneurial journey and responsibilities
4. *Financial Documents*:
- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)
- Balance Sheets and Profit & Loss statements for your cafe (if audited)
5. *Rental Agreement*:
- Already have, but ensure it's updated and signed
Additional tips:
- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)
- Keep your documents organized and easily accessible for the application process
- Be prepared to provide additional information or clarification if requested by the admission authorities
Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!
Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:
1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability
Arithmetic
Algebra
Geometry and Mensuration
Number System
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