Q6) The sum of the ages of Jayant, Prem and Paras is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Paras ?
24 years
28 years
32 years
34 years
38 years
24 years
28 years
32 years
34 years
38 years
Directions (1-2): Read the following information to answer the questions.
There are 9 red, 7 white and 4 black balls in an urn.
Q1. Two balls are drawn at random from the urn. What will be the probability that
both the balls are red?
(a) 18/95
(b) 9/95
(c) 9/10
(d) 8/95
(e) 5/19
Q2. If two balls are selected at random, what is the probability that one ball is white
and the other ball is red?
(a) 91/190
(b) 63/190
(c) 5/19
(d) 4/95
(e) 71/190
There are 9 red, 7 white and 4 black balls in an urn.
Q1. Two balls are drawn at random from the urn. What will be the probability that
both the balls are red?
(a) 18/95
(b) 9/95
(c) 9/10
(d) 8/95
(e) 5/19
Q2. If two balls are selected at random, what is the probability that one ball is white
and the other ball is red?
(a) 91/190
(b) 63/190
(c) 5/19
(d) 4/95
(e) 71/190
Q3. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random,
what is the probability that none is yellow?
(a) 5/33
(b) 5/22
(c) 7/22
(d) 7/33
what is the probability that none is yellow?
(a) 5/33
(b) 5/22
(c) 7/22
(d) 7/33
Direction (1-3) - There is three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black.
In bag A, no. of yellow colored balls are y and no. of green colored balls are g. Number of
green colored balls are 4 more than the number of yellow colored balls. When one ball is
picked at random then the probability of getting black color ball is 5/13. The value of y is 18 (2/11)% less then g.
In bag B, number of yellow colored balls is 200/9% more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is
4/37. Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7
: 5. Total number of green and black colored balls is 36. If one ball is picked at random then
the probability of getting one yellow ball is 7/13.
Q1. If x number of yellow balls from bag B are taken and placed into bag A and 20%
of black balls from bag A are taken and placed into in bag B. If we pick one ball from
bag B then the probability that the ball is of black color is 11/26. Then find the value
of x?
(a) 5
(b) 6
(c) 3
(d) 2
(e) None of these
In bag A, no. of yellow colored balls are y and no. of green colored balls are g. Number of
green colored balls are 4 more than the number of yellow colored balls. When one ball is
picked at random then the probability of getting black color ball is 5/13. The value of y is 18 (2/11)% less then g.
In bag B, number of yellow colored balls is 200/9% more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is
4/37. Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7
: 5. Total number of green and black colored balls is 36. If one ball is picked at random then
the probability of getting one yellow ball is 7/13.
Q1. If x number of yellow balls from bag B are taken and placed into bag A and 20%
of black balls from bag A are taken and placed into in bag B. If we pick one ball from
bag B then the probability that the ball is of black color is 11/26. Then find the value
of x?
(a) 5
(b) 6
(c) 3
(d) 2
(e) None of these
Q3) COST PRICE OF B IS 150 MORE THAN A. IF A IS SOLD AT 30% PROFIT AND B IS SOLD AT 13% PROFIT. TOTAL PROFIT EARNED BY A AND B IS 20% OF TOTAL COST PRICE. FIND THE COST PRICE OF B?
A) 300
B) 400
C) 500
D) 600
E) NONE OF THESE
A) 300
B) 400
C) 500
D) 600
E) NONE OF THESE
Q4) A man invested some amount in scheme X at 20% simple interest. After 2 years he withdrawal all his amount and invested in Scheme Y at 10% per annum Compounded annually. At the end of next 2 years he earned a interest of Rs. 4410 as a interest. Find the sum invested Initially?
A) 10000
B) 12000
C) 15000
D) 20000
E) None of these
A) 10000
B) 12000
C) 15000
D) 20000
E) None of these
Q5) A boat can 19.2 km in 48 mins downstream. If the speed of the current is 20% of the boat in downstream. Find the time taken by boat to cover 40 Km in upstream?
A) 1.5 Hr
B) 2.0 Hr
C) 2.5 Hr
D) 3.0 Hr
E) None of these
A) 1.5 Hr
B) 2.0 Hr
C) 2.5 Hr
D) 3.0 Hr
E) None of these
A bag contains 4 white and 5 blue balls. Another bag contains 5 white and 7 blue balls. What is the probability of choosing two balls such that one is white and the other is blue?
A) 61/110
B) 59/108
C) 45/134
D) 53/108
E) 57/110
A) 61/110
B) 59/108
C) 45/134
D) 53/108
E) 57/110
An Arab flying on his magic carpet finds that the speed with which his carpet moves varies directly as the carpet's altitude and inversely as the amount of gold on it. At a certain altitude and with a certain amount of gold on the carpet, the speed is 50 m/s. What will be the speed of the carpet, if the Arab halves the altitude and doubles the weight of gold on the carpet?
Answer : write in comment section
Answer : write in comment section
A survey was conducted among 95 students who visited the college canteen everyday. The number of students who preferred tea, coffee or a fruit juice in the break was as follows: coffee: 28; tea and fruit juice: 6; only tea: 35; all three : 4; coffee and fruit juice: 10; tea and coffee: 7; none: 7.
Answer write in comment section
Answer write in comment section
(x-2)(x-4)(x-6)(x-8).... (x - 20)_< 0. How many integer values of x satisfy the given equation?
Three flexible pipes that can serve as inlet as well as outlet pipes have been attached to a tank. The rates of filling or emptying the tank by these three pipes are in the ratio 1:2:4. The largest pipe can alone fill the empty tank in 7 hours. Initially the tank is full and the three pipes were used as outlet pipes for 'M' hours. After the tank is emptied, later the smallest pipe alone filled the entire tank in 28 hours. Find the value of 'M'.
In class 11th, each of the 72 students study at least
one of the three subjects: Math, Physics and
Chemistry. In the next year they all promoted to
class 12th and some of these students changed
their subjects among same three areas. It is further
known that:
I. In class 11th the number of students studying
only Math, only Physics and only Chemistry
were 3 consecutive integers in increasing
order but in 12th class the same 3 areas were
the same 3 consecutive integers in
decreasing order. Exactly the same property
with some other 3 consecutive integers was
true for three other respective areas i.e. only
Physics and Chemistry, only Math and
Chemistry and only Math and Physics.
II. In class 11th, 3 students studied all 3 subjects
whereas 12 students study Math and
Physics.
one of the three subjects: Math, Physics and
Chemistry. In the next year they all promoted to
class 12th and some of these students changed
their subjects among same three areas. It is further
known that:
I. In class 11th the number of students studying
only Math, only Physics and only Chemistry
were 3 consecutive integers in increasing
order but in 12th class the same 3 areas were
the same 3 consecutive integers in
decreasing order. Exactly the same property
with some other 3 consecutive integers was
true for three other respective areas i.e. only
Physics and Chemistry, only Math and
Chemistry and only Math and Physics.
II. In class 11th, 3 students studied all 3 subjects
whereas 12 students study Math and
Physics.
What is the difference between the number
of students studying Math in 11th and 12th?
of students studying Math in 11th and 12th?
Anonymous Quiz
34%
0
39%
2
20%
4
7%
6
2. How many students who were studying only
Physics in 11th started studying at least one
more subject in 12th?
Physics in 11th started studying at least one
more subject in 12th?
Anonymous Quiz
29%
0
25%
2
11%
4
35%
Cannot be determined
❤1
What is the minimum number of students
who gave up or took another subject/s?
Answer in comment section
who gave up or took another subject/s?
Answer in comment section
How many students study Physics and at
least one more subject in class 12th?
least one more subject in class 12th?
Anonymous Quiz
14%
17
21%
18
15%
19
50%
Cannot be determined
IIM Indore interview Experience by A Student?
Profile: X - 10 CGPA (CBSE 2013), XII - 96% (CBSE 2015), BMS Finance 8.7 GPA (Keshav Mahavidyalaya, DU 2018), Workex - 3 Months in a Financial Service in TV hbs Company, CAT 2018 - 98.38%ile, General Non-Engineer Male
Location: New Delhi
Panelists: Three Professors. All Male.
Interview:
P3: Tell me about yourself?
I was born and brought up in Chandausi, a town near Moradabad in Uttar Pradesh. I had been reciting Shlokas since when I was six years old and have completed Char Dham Yatra. I have also seen originating points of various rivers. I did my graduation in management studies from Keshav Mahavidyalaya, DU. In my curriculum, I found Investment Analysis and Portfolio Management particularly interesting. I did my internship in IFCI Venture Capital Funds Ltd where I was the part of Loan Analysis team. I have won various competitions across different colleges of DU while maintaining top 3 rank. I have also completed all modules of Certified Financial Planner program. After completing my graduation, I worked for 3 months in a financial services firm.
In the middle, P2 asked about the originating point of Godavari River?
Trimbkeshwar, Maharashtra (Brahmagiri Hills)
P3: What do you do apart from religious travelling?
I read books and Wikipedia pages.
P3: Which type of books do you read?
I read different kinds of books. I read books on economics and finance and self-help books.
Stopped in the middle and P3 asked which self-help book have you read?
The power of Habit by Charles Duhigg
P3: What does he say in the book?
He explores the science behind habit creation and reformation. There is a habit loop which consists of three elements: cue, routine and reward.
Stopped by P3. He said okay do you know the current situation of Syria?
Sir, I don't know the exact present condition. But I know about the adversity going on there especially because of the Islamic State of Iraq and Syria. And the country was thus involved in fighting against terrorism.
P3: What is Taliban?
Taliban is a military organisation based out of Afghanistan.
P3: What does it want?
It feels that their government is being controlled by the Americans and they want that the rule should be indigenous for the citizens of the country.
P3: Tell me the name of the state in which neither BJP nor Congress is in power?
Tamil Nadu
P3: Which Party?
AIADMK(All India Anna Dravida Munnetra Kazhagam) headed by CM Panaliswami
P3: Any other states?
Yes Sir. TDP in Andhra Pradesh and TRS in Telangana.
About to tell(CPIM in Kerala and TMC in West Bengal) but stopped by P3.
P3: I am done. (Looking towards P1)
P1: Have you heard of beta?
Yes Sir.
P1: What is it?
Beta is a measure of volatility or systematic risk. It is calculated by dividing the Covariance of market and security variable by Variance of the market variable.
P1: If beta is high then what will happen to WACC?
WACC stands for the weighted average cost of capital and is calculated using the cost of equity and the after-tax cost of debt. If the beta is high then the cost of equity will be higher and thus the WACC would be higher.
P1: You mentioned the after-tax cost of debt. Why after tax is taken into account?
Sir, We pay the interest on debt before paying the taxes. The companies use this phenomenon to practice trading on equity. So, that's why the tax effect of interest component is taken into account.
P1: Have you heard of Levered and Unlevered Beta?
Yes Sir.
P1: What are they?
Thought for 20 seconds. Sir, when a company is not readily traded in the securities market then we make use of levered and unlevered beta. We use the beta of the company which is its industry peer and actively traded. We then make amendments to it to make it useful for a particular company.
P1: The beta of the company that we have used is levered or unlevered?
Sir, I think it should be unlevered but I am not sure.
Profile: X - 10 CGPA (CBSE 2013), XII - 96% (CBSE 2015), BMS Finance 8.7 GPA (Keshav Mahavidyalaya, DU 2018), Workex - 3 Months in a Financial Service in TV hbs Company, CAT 2018 - 98.38%ile, General Non-Engineer Male
Location: New Delhi
Panelists: Three Professors. All Male.
Interview:
P3: Tell me about yourself?
I was born and brought up in Chandausi, a town near Moradabad in Uttar Pradesh. I had been reciting Shlokas since when I was six years old and have completed Char Dham Yatra. I have also seen originating points of various rivers. I did my graduation in management studies from Keshav Mahavidyalaya, DU. In my curriculum, I found Investment Analysis and Portfolio Management particularly interesting. I did my internship in IFCI Venture Capital Funds Ltd where I was the part of Loan Analysis team. I have won various competitions across different colleges of DU while maintaining top 3 rank. I have also completed all modules of Certified Financial Planner program. After completing my graduation, I worked for 3 months in a financial services firm.
In the middle, P2 asked about the originating point of Godavari River?
Trimbkeshwar, Maharashtra (Brahmagiri Hills)
P3: What do you do apart from religious travelling?
I read books and Wikipedia pages.
P3: Which type of books do you read?
I read different kinds of books. I read books on economics and finance and self-help books.
Stopped in the middle and P3 asked which self-help book have you read?
The power of Habit by Charles Duhigg
P3: What does he say in the book?
He explores the science behind habit creation and reformation. There is a habit loop which consists of three elements: cue, routine and reward.
Stopped by P3. He said okay do you know the current situation of Syria?
Sir, I don't know the exact present condition. But I know about the adversity going on there especially because of the Islamic State of Iraq and Syria. And the country was thus involved in fighting against terrorism.
P3: What is Taliban?
Taliban is a military organisation based out of Afghanistan.
P3: What does it want?
It feels that their government is being controlled by the Americans and they want that the rule should be indigenous for the citizens of the country.
P3: Tell me the name of the state in which neither BJP nor Congress is in power?
Tamil Nadu
P3: Which Party?
AIADMK(All India Anna Dravida Munnetra Kazhagam) headed by CM Panaliswami
P3: Any other states?
Yes Sir. TDP in Andhra Pradesh and TRS in Telangana.
About to tell(CPIM in Kerala and TMC in West Bengal) but stopped by P3.
P3: I am done. (Looking towards P1)
P1: Have you heard of beta?
Yes Sir.
P1: What is it?
Beta is a measure of volatility or systematic risk. It is calculated by dividing the Covariance of market and security variable by Variance of the market variable.
P1: If beta is high then what will happen to WACC?
WACC stands for the weighted average cost of capital and is calculated using the cost of equity and the after-tax cost of debt. If the beta is high then the cost of equity will be higher and thus the WACC would be higher.
P1: You mentioned the after-tax cost of debt. Why after tax is taken into account?
Sir, We pay the interest on debt before paying the taxes. The companies use this phenomenon to practice trading on equity. So, that's why the tax effect of interest component is taken into account.
P1: Have you heard of Levered and Unlevered Beta?
Yes Sir.
P1: What are they?
Thought for 20 seconds. Sir, when a company is not readily traded in the securities market then we make use of levered and unlevered beta. We use the beta of the company which is its industry peer and actively traded. We then make amendments to it to make it useful for a particular company.
P1: The beta of the company that we have used is levered or unlevered?
Sir, I think it should be unlevered but I am not sure.
P3: Okay. Now you have to give extempore on the topic ‘People are using religion to their own benefit.’
Given 30 sec to think and 1 min to
CAT MBA GMAT XAT SNAP EXAMS, [04/02/22, 9:35 am]
.
P3 stopped me after 1 min.
P1: Can you draw an efficient frontier for me?
Yes Sir. Drew the graph.
P1: What is the shape of the graph?
C Shaped.
P1: Okay. You have drawn it correctly.
P3: But looking at the graph, it seems that you will have two expected returns?
No sir. Efficient frontier shows the optimal portfolios. So for a given level of risk, we will have only one expected return.
P3: Okay.
P1: What will be the equation of this efficient forntier?
Sir, I do not know what will be the equation of this frontier. But we have drawn this using CAPM(Capital Asset Pricing Model) whose equation is Expected return = Risk-free Rate + Market Risk Premium × Beta.
P1: Can we use gold, currency or mutual fund in the efficient frontier?
Sir efficient frontier shows the optimal portfolios. And these assets can be part of the portfolio so they can be used.
P1: How will you use CAPM for Gold?
Sir, I think CAPM can not be used for Gold.
P1: Then both of the statements are contradictory. Which one is right then?
Sir, I think that we can use mutual funds and other assets in an efficient frontier but I am not sure.
P1: Okay. How do you calculate the standard deviation for a portfolio?
Sir, there is a formula for it.
P1: What is it?
Sir, I am not able to recall it. But if we have to calculate portfolio beta then we will use individual beta and use weighted average to calculate portfolio beta.
P1: Why can't we do the same for standard deviation?
The standard deviation shows the deviation from the expected return. While beta shows systematic risk, standard deviation shows risk specific to the company. And the correlation between assets has to be taken into account.
P1: Write the words I am telling on Paper. Words - Discount Rate, Inflation, Growth Rate, Sales Growth, Income and Capex.
P1: Use them in a paragraph with relation to subject Business Analysis and Valuation that you have studied.
Absolute Valuation is one of the methods for valuing a company and we use DCF(Discounted Cash Flow) Approach in this method. It calculates the value of the firm by discounting the future cash flows of the company using a discount rate. Discount rate basically involves inflation rate and opportunity cost and in quantitative terms, we use WACC for it. To calculate future cash flows, we have to forecast sales which will be done using sales growth. Then we will calculate FCFF using the future income and CAPEX of the firm. We then use the growth rate to calculate the terminal value of the firm. Then we will discount these cash flows using a discount factor to arrive at the valuation of the firm.
P2: Okay. Thank You.
I thanked each of them and left.
VERDICT: CONVERTED
Given 30 sec to think and 1 min to
CAT MBA GMAT XAT SNAP EXAMS, [04/02/22, 9:35 am]
.
P3 stopped me after 1 min.
P1: Can you draw an efficient frontier for me?
Yes Sir. Drew the graph.
P1: What is the shape of the graph?
C Shaped.
P1: Okay. You have drawn it correctly.
P3: But looking at the graph, it seems that you will have two expected returns?
No sir. Efficient frontier shows the optimal portfolios. So for a given level of risk, we will have only one expected return.
P3: Okay.
P1: What will be the equation of this efficient forntier?
Sir, I do not know what will be the equation of this frontier. But we have drawn this using CAPM(Capital Asset Pricing Model) whose equation is Expected return = Risk-free Rate + Market Risk Premium × Beta.
P1: Can we use gold, currency or mutual fund in the efficient frontier?
Sir efficient frontier shows the optimal portfolios. And these assets can be part of the portfolio so they can be used.
P1: How will you use CAPM for Gold?
Sir, I think CAPM can not be used for Gold.
P1: Then both of the statements are contradictory. Which one is right then?
Sir, I think that we can use mutual funds and other assets in an efficient frontier but I am not sure.
P1: Okay. How do you calculate the standard deviation for a portfolio?
Sir, there is a formula for it.
P1: What is it?
Sir, I am not able to recall it. But if we have to calculate portfolio beta then we will use individual beta and use weighted average to calculate portfolio beta.
P1: Why can't we do the same for standard deviation?
The standard deviation shows the deviation from the expected return. While beta shows systematic risk, standard deviation shows risk specific to the company. And the correlation between assets has to be taken into account.
P1: Write the words I am telling on Paper. Words - Discount Rate, Inflation, Growth Rate, Sales Growth, Income and Capex.
P1: Use them in a paragraph with relation to subject Business Analysis and Valuation that you have studied.
Absolute Valuation is one of the methods for valuing a company and we use DCF(Discounted Cash Flow) Approach in this method. It calculates the value of the firm by discounting the future cash flows of the company using a discount rate. Discount rate basically involves inflation rate and opportunity cost and in quantitative terms, we use WACC for it. To calculate future cash flows, we have to forecast sales which will be done using sales growth. Then we will calculate FCFF using the future income and CAPEX of the firm. We then use the growth rate to calculate the terminal value of the firm. Then we will discount these cash flows using a discount factor to arrive at the valuation of the firm.
P2: Okay. Thank You.
I thanked each of them and left.
VERDICT: CONVERTED
Q1) A Container Contains a mixture of Milk and water in the ratio of 5 : 3. 30% of the mixture is taken out and pour in container B having 60 liter of mixture in the ratio of 3 : 2. So that final ratio Become 17 : 11 Find the capacity of Container A?
A) 50
B) 60
C) 70
D) 80
E) None of these
5/8 3/5
17/28
175 168
170
2 5
5 = 60
2 = 24
30% = 24
100% = 80
A) 50
B) 60
C) 70
D) 80
E) None of these
5/8 3/5
17/28
175 168
170
2 5
5 = 60
2 = 24
30% = 24
100% = 80