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CAT Exam - Simple Interest and Compound Interest Questions & Answers, LR & DI | Day 10
Edited By Team Careers360 | Updated on Sep 18, 2024 05:53 PM IST | #CAT
In our previous article, we covered the CAT Exam strategy for preparing Profit and Loss , Data Interpretation (Miscellaneous), and improving reading skills for Day 9 of your CAT preparation. We also included tips on tackling Simple Interest and Compound Interest questions.
Now, on Day 10 of our CAT 2024 preparation series, we’ll be focusing on strategies for Simple Interest and Compound Interest questions, along with useful concepts and tricks.
Stick to our 60-day CAT exam preparation schedule to stay organized and on track. Simple Interest and Compound Interest questions frequently appear on the exam, and many students struggle with them. We've put together a guide to help you master these types of questions and improve your skills for the CAT.
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Part 1: Quantitative Aptitude For CAT 2024
Topic: Simple Interest And Compound Interest Concept
Simple Interest and Compound Interest are two of the most basic concepts in mathematics, here we will discuss, what is simple interest and compound interest, simple interest and compound interest for cat, Simple Interest and compound interest formulas, the difference between simple interest and Compound Interest formulas, simple interest and compound interest questions etc.
Simple Interest
Simple interest is defined as the interest that is calculated on the principal amount only, it does not take into account the interest of interest.
For example, if you give your friend Rs. 1000, after 3 years he returned Rs. 1300.
You have received Rs. 300 more. This Rs. 300 is the simple interest for 3 years at the rate of 10% per annum.
The simple interest (SI) is calculated by multiplying the principal with the rate of interest and time (in years). The formula is:
SI = (P × R × T) / 100
Where, P = Principal Sum
R = rate of interest at which sum is borrowed or lent
T = time period (the duration for which money is borrowed or deposited)
Alternatively,
Calculate the interest for 1 year and multiply it by the time for which interest is to be calculated.
Compound Interest
Compound interest is the most common interest type that we come across in our daily lives. It depends on both the principal and the total interest gathered before. When calculating the Compound Interest we add the previous interest amount with the principal and take that sum as the new principal.
We can understand this by following the example:
Let Rs 1000 be lent at the rate of 20% per annum compounded annually for 3 years.
Principal = Rs. 1000
Year - Wise Interest
1st year: 20% of 1000 = 200
2nd year: 20% of (1000 + 200) = 200 + 40 = 240
3rd year: 20% of (1200 + 240) = 240 + 48 = 288
Total Interest for 3 years = 200 + 240 + 288 = Rs 728.
Alternatively, we can use the formula
A = P×(1 + R/100)n
Where,
A = Amount
P = Principal
R = Rate of interest per annum compounded annually
n = Number of years
If the rate is compounded half yearly: the rate is to be taken per six months, and the time will be a multiple of half years.
Similarly, we can modify the rates and time if interest is compounded quarter yearly, monthly etc. or we can use a general formula of compound interest:
A = P(1+r/n)nt, where A = amount, P = principal, r = rate of interest in decimal, t = time in years, n = number of times interest is compounded in a year.
Types of problems
Simple Interest Compound Interest CAT Questions can be divided into:
Questions that involve calculations of Simple Interest
Questions that involve calculations of the rate of interest (Principal, time and Simple interest are given).
Questions that involve calculations of time (Principal, Rate of interest and Simple interest are given).
Questions that involve calculations of compound interest, such as if the rate is compounded annually, half-yearly, monthly, or quarterly.
Amount and Principal are given; Time or rate will be asked.
Questions based on the difference between SI and CI.
Simple Interest Compound Interest CAT Questions From CAT Previous Year Papers
Q.1.
A person invested a total amount of Rs. 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio of 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs. 76,000 then the amount (in Rs. lakh) invested in the fixed deposit was [CAT Question Paper 2019, TITA] (Simple interest CAT questions)
9 lakh
10 lakh
9.5 lakh
8 lakh
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Download EBookAnswer: (1) 9 lakh
Solution:
Let's say the amount invested in two other schemes are 200x and 100x at 4% and 3% respectively.
So, Amount invested in a fixed deposit = 1500000 – 300x
Two other schemes are 200x and 100x at 4% and 3%, respectively.
Total annual interest = 6% of (1500000 – 300x) + 4% of 200x + 3% of 100x = 76000
⇒ 90000 – 18x + 8x + 3x = 76000
⇒ x = 2000
Therefore, the amount deposited in a fixed deposit = 1500000 – 600000 = 900000 = 9 lakh
Hence, the correct answer is option (1).
Q2.
Amala, Bina, and Gouri invest money in the ratio of 3: 4: 5 in fixed deposits having respective annual interest rates in the ratio of 6: 5: 4. What is their total interest income (In Rs) After a year, will Bina's interest income exceed Amala's by Rs 250? [CAT Question Paper 2019 slot-1]
6000
7250
6350
7000
Answer: (2) 7250
Solution:
Ratio of interest of Amala, Bina, and Gouri = (3 × 6) : (4 × 5) : (5 × 4) = 9 : 10 : 10
The interest income of Amala, Bina, and Gouri can be taken as 9x, 10x, and 10x, respectively.
Total income = 29x
Difference between interest income of Bina and Amala = 250 = (10x – 9x) = x
Therefore, Total income from interest = 29 × 250 = 7250
Hence, the correct answer is option (2).
Q.3.
A sum was doubled with a 12.5% rate of simple interest per annum. The time taken for that sum to be doubled is:
8 (½) years
8 years
12 years
12 (½) years
Answer: (2) 8 years
Solution:
Let the principal be P.
Sum = 2P
Let the time be T.
Therefore, Simple interest = Amount – Principal = 2P – P = P
We know, Simple interest = (Principal × Rate × Time) / 100
⇒ T = (P × 100) / (P × 12.5)
⇒ T = 1000 / 125
So, T = 8 years
Hence, the correct answer is option (2).
Q.4.
A sum of money becomes 1.331 times in 3 years as compound interest. The rate of interest is:
8%
7.5%
10%
50%
Answer: (3) 10%
Solution:
Assuming the principal is Rs. 1000, the amount will be Rs. 1331.
When compounded annually, A = P×(1 + R/100)T, where A is the total amount, P is the principal amount, R is the rate of interest per annum, and T is the time in years.
So, 1331 = 1000(1 + R/100)3
⇒ 1331/1000 = (1 + R/100)3
⇒(11/10)3=(1 + R/100)3
⇒ 11/10 = 1 + R/100
⇒ R/100 = 1/10
⇒ R = 10%
Hence, the correct answer is option (3).
Q.5.
B borrows Rs. 5000 from A at 6% p.a. simple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is ______.
Rs. 1050
Rs. 450
Rs. 600
Rs. 500
Answer: (2) 450
Solution:
At Simple Interest, B borrows from A.
Principal = Rs. 5000
Rate = 6%
Time = 2 years
At Compound Interest, B lends to C.
Principal, P = Rs. 5000
Time, n = 2 years
Rate, R = 10%
We know,
Simple interest = (P× R × T)/100
Total amount = P×(1 + R/100)n
Simple interest = (5000 × 2 × 6)/100 = Rs. 600
Total amount to be paid back to A = 5000 + 600 = Rs. 5600
B lends to C at Compound interest.
Total amount = 5000(1 + 10/100)2 = 5000 × 1.21= Rs. 6050
So, the profit made by B = Rs. 6050 – Rs. 5600 = Rs. 450
Hence, the correct answer is option (2).
Prerequisite Before Practising Simple Interest Compound Interest CAT Questions
To prepare this topic for the CAT exam and to practice compound interest tough questions, students must be well aware of the following:
Fractions and Percentage on their fingertips.
Vedic Maths (Simplification and Approximation)
Ratios
Simple Interest And Compound Interest Tricks For CAT
Use the concept of fractions and Percentage in SI and CI
Use the concept of successive change in the problems of Compound Interest .
Difference between SI and CI for two cycles = P(r/100)2.
Difference between SI and CI for three cycles = P(r/100)2 x (3 + r/100).
If a sum of money becomes x times in n years at the simple rate of interest, then the rate is calculated as R = (x - 1) x 100/n
Practice simple interest questions and Compound Interest questions ( discussed in the introduction) separately.
References To Study (Theory) Simple Interest And Compound Interest Concept
Quantitative Aptitude for CAT by N K Sinha
2iim Online Learning Classroom
References To Study (Practice) Simple Interest Compound Interest CAT Questions
Arun Sharma: A Quantitative Approach for CAT (6th Edition)
https://insideiim.com/best-resources-cat-exam-preparation
CAT's previous year's papers
Part 2: Logical Reasoning And Data Interpretation
Topic: Blood Relation (LR)
Blood Relation is one of the most important parts of LR. A blood relationship is defined as any relationship formed by birth or marriage. Here we will discuss blood relation in Logical Reasoning , types of blood relation in logical reasoning, what is Blood Relation in logical reasoning, blood relation in logical reasoning questions etc. Let us start with the types of blood relations:
Birth Relations (paternal or maternal): Mother, Father, Son, Daughter, Brother, Sister etc.
Paternal: Relations from the father’s side.
Maternal: Relations from the mother’s side.
Relations from a marriage: Mother-in-law, father-in-law, sister-in-law etc.
Types Of Blood Relation CAT Questions:
Direct Questions/ Single statement based: Relation between two persons is given indirectly and you have to find the correct relationship.
Puzzled Relation: A set of information is given about the relations, professions, places etc. Using that information, answers have to be determined.
Coded Blood Relation: Relationships in the form of codes are given. For example, A @B means A is the father of B. A#B means B is the father of A etc.
Relationships of mixed blood: Relations of two or more families are involved.
Approaches To Be Learned To Solve CAT Blood Relations Questions
Family Tree: Forefathers and mothers serve as the roots of the tree, followed by their children forming the stems of the tree and then grandchildren. It is a visual representation of a family and the most helpful trick to solve the questions of Blood Relation
Back-tracking: In the questions of the type of single statement, draw a family tree using the last information first.
Elimination of the Wrong option: Most effective in the questions of coded Blood Relation . By using the generation gap and gender identification, wrong options can be eliminated. The gender of a person cannot be determined by their name. A specific notation should be used for females and males while drawing the family tree. Members of the same generation should be represented at the same level.
Blood Relations Questions for CAT That Can Help You Learn: (Based on the CAT Exam)
Direction (Q1- Q2)
In a family, there are seven members- A, B, C, D, E, F, and G. A and B are a married couple, and A is a male member. D is the only son of C’s brother. D is the brother of E and F. G is the head of the family, whose wife died long ago. G has two sons, one of which never got married. There are only three generations in the family.
Q.1.
How is F related to A?
Mother
Sister-in-law
Sister
Daughter
None of these
Ans: (4) Daughter
Q.2.
Who is an unmarried member of the second generation?
C
G
H
Cannot be determined
None of these
Ans: (1) C
Solution:
G (male, since he had a wife who died long ago) is the head of the family and has two sons.
A, who is the brother of C (since D is the son of A and D is the brother of E and F), the only possibility of G’s sons are A and C), is married to B and has a son D.
So, A and C must be in the second generation.
Therefore, D must be the son of A. Also, E and F are sisters of D, and A must be the father of E and F.
C is unmarried since he is the brother of A (G has two sons and A is the brother of C)
Q.3.
Read the following instructions:
P $ Q means Q is the brother of P;
P * Q means Q is the mother of P;
P x Q means P is the son of Q
If the code of a family is A * B $ C x D, who is the father among them?
D
B
C
A
Answer: (1) D
Solution:
A * B means B is the mother of A and hence B is the mother in the family.
B $ C means C is the brother of B.
C x D indicates C is the son of D and hence D is the father in the family
D is the father of B and C, and B is the mother of A.
Hence, option 1 is correct.
D
B
C
A
Answer: (1) D
Solution:
A # B means B is the mother of A and hence B is the mother in the family.
B $ C means C is the brother of B.
C x D indicates C is the son of D and hence D is the father in the family
D is the father of B and C, and B is the mother of A.
Hence, option 1 is correct.
Prerequisite Before Solving Blood Relation Questions
To Prepare for Blood Relation, students must have the knowledge of:
Basic family relations
Generation gaps
Relations of in-laws
Basic knowledge of coding
References to Study (Theory):
LRDI for CAT and GMAT by Nishit K. Sinha
‘www.catking.in (Web as well as YouTube Channel)
References to Study (Practice):
Verbal and Non-Verbal Reasoning by R. S. Aggarwal.
CAT's previous year's papers
Part 3: VARC ( Grammar tenses for CAT Exam)
Topic: Tenses Part-1 ( Present Tenses)
Tenses are of three types: present tense, past tense, and future tense.
Tenses are the most common area of error in English. So, we have to prepare tenses well.
Here we will discuss tense in English grammar, present tense exercises, present tense examples, present tense worksheets etc. Three easy steps to solve the problems that involve errors in the present tense:
Learn the most common errors
Spot the errors
Correct the errors
Present Tense:
The present tense describes an action going on in the present time. The present tense can further be divided into four categories to indicate the action as follows:
Simple Present Tense/ Present Indefinite Tenses: denotes continuous action.
Example: Ganesh sits on this chair.
Present Perfect Tense: denotes an action that has been completed.
Example: Rohit has gone to school.
Present Continuous Tense: denotes an action that is happening in the present time.
Example: Seema is drinking tea.
Present Perfect Continuous Tense: denotes an action that occurs throughout a period.
Example: Seema has been going to school.
Questions On Present Tense From CAT Previous Year Papers
Q.1.
Prem Chand ……… novels that are appealing to people of all ages.
Wrote
Had written
Had been writing
Has written
Answer: (4) Has written
Explanation: The work is done but its effect is still present as people still appreciate his novels.
Q.2.
Roji, I ……… seen you for a long time, how ………?
Had not, are you
Have not, have you been
Did not, had you been
Have not, are you been
Answer: (2) Have not, have you been
Explanation: Not seeing Roji, is the action that has been completed in the present time.
Q.3.
She ……… theatre dramas. ……… any recent play?
Loves watching, have you watched
Love to watching, did you watched
Is loving, have you been watching
Loves watching, had you seen
Answer: (1) Loves watching, have you watched
Explanation: ‘Watching dramas’ is the continuous action in present time
With the present indefinite, past perfect cannot be used. So, (4) is wrong and (1) is correct.
Q.4.
Naina and Palak ……… to our house to play the indoor games with us.
Will have been coming
Had been to come
Are coming
Come
Answer: (3) Are Coming
Explanation: ‘Are coming’ is the correct answer as it describes the expected event in the near future.
Prerequisite:
Basic knowledge of verbs and helping verbs.
Basic knowledge of parts of speech.
Tips For Error Correction In Present Tenses:
Learn the rules of all types of present tenses.
Read newspaper articles.
Practice error-based questions on tenses.
Attempt Mock-Tests.
References to Study (Theory):
How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
Learn English with Rebecca · engVid (YouTube Channel)
Preply.com (Web)
References to Study (Practice):
engvid.com (Web)
Oxford Practice Grammar (sixth edition)
Practice on sample question papers.
Free PDFs for CAT 2024 preparation
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Questions related to CAT
Have a question related to CAT ?
The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.
Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.
But you could opt for:
Postgraduate Studies:
Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.
Specialized Master's Programs: Find any specific master's course that supports the career goal.
Professional Certifications:
Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.
Job Entry via MBA
After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.
In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.
Samprikta Mondal 13 November,2024
Hello Pratik,
If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .
Here's what you can do:
-
Email the CAT authorities : Inform them about the potential change in your income status and request to be considered under the General category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.
-
Documents and Proof : Make sure you have a valid OBC certificate and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the General category, as the OBC-NC reservation is no longer applicable.
-
General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.
To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.
For more details about CAT exam you can check out an article by Careers360 whose link is given below:
Link: https://bschool.careers360.com/exams/cat
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 08 November,2024
Hi Shreya ,
Having a tattoo on your wrist should not create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .
For a safe side , it is recommended :
1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .
2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .
Hope this helps you .
ALL THE BEST .
Mitali Sharma 09 November,2024
To know about this please prefer our college predictor
Sumit Mishra 07 November,2024
Hello,
Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:
Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.
MAT : Much easier and takes place thrice a year.
SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.
Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.
Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.
Deepti Singh 06 November,2024
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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