Step 1 During your first reading, identify the variables in the data, the number of instances of the variables provided and the respective inter-relationship amongst the variables.
On having identified these things the students will be in a position to establish a clear picture of the information and the requisite tabular format to solve case.
This is also extremely important from the examination point of view, since it will help estimate the amount of time required to solve the case. Hence we will be in a position to make a better decision about whether the case we are pursuing is worth solving under the exam conditions.
Step 2
Chart out the table required and in fill in the direct data given in the question into the table. At this stage the objective should not be to complete the table but to get down the direction information provided in the case into the table. It is important to distinguish between the two approaches, since trying to complete the table for the sake of completing the table might result in a lot of unnecessary work on the part of the student (which can easily be avoided). Remember, marks are allotted for the answer to the questions asked, not for filling the table, (Hence, we will do only as much as is asked and not one step more).
Step 3
With the basic framework of the table ready, the approach of the student should be to identify the required solutions from the questions asked and solved only to get the answer of the question asked.
However, note here that as a rule any intermediate information derived in this process should be directly transferred to the table, since it is quiete likely that the calculations you have done for one question might be repeated in the next question. Hence, in order to avoid reworking on things already done once, transfer any information derived during the process of solving one question onto the table so that it is available for all subsequent questions.
EXERCISE
Case .1
Mr Hoola Boola is facing a decision problem. He has excellent training products but is not sure about the demand for his products. He wants to set up a training centre to provide training programmes of Sr Executive, Jr Executive and non executive level. His financial advisor Mr Balmas told him that if he wants to set up a non executive level training centre, the total cost would be on two counts-- the first would be a fixed cost which is ₹2 lakh per annum. Besides, it would also entail a variable cost of training per candidate. This would be ₹1000 per candidate trained. He further estimated that if a training centre is set up for conducting Jr Executive and non executive level training programmes, the total fixed cost would be Rs 3.2 lakh per annum and the cost of training per candidate will be ₹750 Mr Balmas motivates Mr Hoola to set up a combined training Centre for Sr executive, Jr Executive and non executive, the fixed cost of which is ₹5 lakh per annum and the cost of providing training per candidate is ₹500.
you as a hotshot IIM, Ahmedabad MBA, have some decision making abilities. Please help Mr Hoola Boola by answering the following questions.
1) What would be the volume that Mr Hoola should train where he would be indifferent between setting up a non executive level and non executive and Jr Executive level training Centre ?
A) 495 B) 490 C) 480 D) 475
2) What would be the volume that Mr Hoola should train where he would be indifferent between setting up a training centre for Jr and non executive and Sr, jr and non executive level.
A) 710 B) 720 C) 730 D) 740
3) What would be the volume that Mr Hoola should train where he could be indifferent between setting up at training centre for non executive and for all three categories?
A) 450 B) 500 C) 550 D) 600
4) Assume that Mr Hoola shares the same vision that some Mr Balmas has and sets up a training centre for all three categories. In the first year he manages to train 1200 candidates at ₹1250 per candidate. What would be his profits ?
A) 3.2 lakh B) 3.6 lakh C) 4 lakh D) 4.4 lakh
5) in question 4, What is the profit percentage in the first year of operation ?
A) 27.27% B) 36.66% C) 40% D) 44.44%
Answer
1) Let x be the volume. So the cost of training x candidates in both of these should be the same for indifference between the two options.
i.e., 2 lakh+ 1000x = 3.2 lakh+ 750x
=> 250x= 1.2 lakh
=> x= 120000/250= 480
2) Let x be the volume.
3.2 lakh+ 750x= 5 lakh+ 500x
=> x= 720
3) Let x be the volume.
2 lakh+ 1000x = 5 lakh+ 500x
=> x= 600
4) Total sales= 1200x1250= 15 lakh
Total cost (for all 3 levels)= 5 lakh+ 500x 1200= 11 lakh
Thus profit= total sales - total cost= ₹15 lakh - ₹11 lakh = 4 lakh
5) Total cost= 11 lakh
Profit= 4 lakh
So, profit %= (4/11) x 100= 36.36%
Case 2
Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in pers person use of the hotel. In 2004, it is expected that there will be 200 million Hotel users in India, or about 20% of the population will generate Rs 50 billions in hotel revenues. Industry revenues should expand from ₹50 Billion to ₹150 billion by 2008, while the number of users should grow to over 560 million or to about half the population of India in the same period.
1) What is the estimated population of India in 2004?
A) 98 crore B) 100 crore C) 110 crore D) 150 crore
2) What will be the simple average growth rate of population of India in the given period 2004-2008 ?
A) 2% B) 3% C) 4% D) 4.5%
3) What will be the growth in percentage of users in India by 2008 ?
A)100% B) 150% C) 180% D) 200%
4) What will be the percentage growth of the revenues of the hotel industry in the given period ?
A) 200% B) 230% C) 260% D) 300%
5) It is believed that if 50% of the population of any country can afford Hotel-use, it is economically developed. Can we say that India will be a developed country by 2007 ?
A) yes B) no C) cannot say D) data inadequate.
Case 3
1) Bihar and Odisha are the most deprived states of India. While they contain one-fifth of the India's population, they have almost one- third of India's illiterates. In 1998, only a small function of Orissa and Bihar's population was literate versus 85% of Kerala's population. More than two-thirds of the birth are not attended by any medical facility, 1/10th of the infants born in Odisha and Bihar die in infancy and an equal number before reaching the age of five. Almost 90% of the under 5 deaths are due to malnutrition.
From amongst the lucky kids who have survived for first five years, 1/3rd of them work as child labourers and only half of the remaining are sent to school. Of those who attend classes, only 40% are able to reach Std V. In India, 30% of the children under 16 work as labourers. Orissa and Bihar contains 1/3rd of the child labourers in India. India has the largest population of child labourers, which is 1/15th of its total population.
In Odisha and Bihar, out of 100 Children enrolled in school, 32 are girls. And out of 100 who attend Std X, only 10 are girls. Only 38 out of 100 Indians women are literate versus 57% of males. Even in wealthy states such as Punjab, girls suffer malnutrition 7 times more than the boys do. The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9.
1) According to the information provided. What percentage of the Infants in Odisha and Bihar attend STD V ?
A) 11.33 B) 10.66 C) 13.33 D) N
2) The number of child labourers in India in 1998 are:
A) 15 crore B) 16 crore C) 12 crore D) 6 crore
3) In Orissa and Bihar, out of 100 born, approximately how many children work as child labourers ?
A) 27 B) 32 C) 13 D) 38
4) What percentage of girl children enrolled in school reach Std X in Orissa and Bihar ?
A) 10% B) 32% C) 60% D) insufficient data.
5) In 1998, the literates in Kerala exceed the literates in UP and Bihar by:
A) 30% B) 35% C) 27% D) data insufficient
6) the number of literates in India in 1998 is:
A) 16.2 crore B) 27 crore C) 43.2 crore D) insufficient data
7) the number of illiterates in Orissa and Bihar in 1998 is almost :
A) 18 crore B) 13.2 crore C) 15.6 crore D) insufficient data
Case 4
It was realised by EMS careers, that work creating awareness in the market, newspaper advertising is very effective but it should be done consistently. The Times of India (TOI) which claims to have 40% of the total market share brings out of Weekly supplement 'Education Times' in which the advertising cost for the range 0 to 240 sq.cm for 1 to 2 insertions with a validity period of 30 days in ₹50/cm², for 3--5 insertion with a validity period of 90 days is ₹40/cm². The cost for size of advertisement 241 + cm² for 1--2 insertions with validity period of 30 days is ₹50/cm² and for 3-5 insertions with validity period 60 days is ₹ 40/cm² and for 6 onwards insertion with validity period 90 days is ₹35/cm². The expected response generation per insertion in TOI in the size of 161- 200 cm² is 40 and the size 200+ cm² is 50. Another great market player in Hindustan Times with weekly supplement ' HT Horizons' and it claims to have 35% of the total market share and the cost of advertising in it for 1-2 insertions with validity period: Number of insertion + one week is ₹40/cm². for 3-6 insertions with validity period: No of insertions+ 2 weeks is ₹37/cm² and for 7 insertions onwards with validity period: number of insertions+ 3 weeks is ₹34/cm². The expected response generation per insertions is 35 for 160-200 cm² and 45 for 200 + cm² size.
Please help AMS careers with the correct decisions on the following plans.
1) if AMS looks to generating exactly 95 responses in 2 insertions, which newspaper combination should be selected ?
A) TOI B) HT C) One TOI and one HT insertion D) data inadequate
2) AMS has decided to advertise in TOI but is confused on length between 80 cm and 81cm but is sure about the width, i e., 3cm and 3 insertions. What should be the length ?
A)80cm B) 81cm C) either 80 or 81 D) data inadequate
3) If AMS wants to go for two insertions of exactly 80cm², which newspaper should be selected and what is the percentage difference in the cost differential between the campaign cost between the two newspapers with respect to the lower priced newspaper. (assume that cost is the only consideration).
A) HT, 20% B) HT,25% C) TOI, 24% D) TOI, 25%
4) If AMS decides to go in for an invertising campaign of 10 insertions, which will be the best option (in terms of cost) for a size of 243 cm² ?
A) HT B) TOI C) either HT or TOI D) data inadequate
5) In question (4), if AMS is considering its decision only on the basis of validity period which is the best ?
A) HT B) TOI C) either HT or TOI D) data inadequate
6) if the only consideration for the choice of the newspaper is the number of responses, then AMS should run the campaign of question (22) in:
A) HT B) TOI C) either HT or TOI D) data inadequate
Case -5
Mr Kunal Dwivedi wants to buy a motorbike which is priced at ₹45500. The bike is also available at ₹25000 down payment and monthly installment of ₹1000 per month for 2 years or ₹18000 down payment and monthly installment of ₹1000 per month per 3 years. Mr Kunal has with him only ₹12000. He wants to borrow the balance money of the down payment from a private lender whose terms are:
if ₹6000 is borrowed for 12 months, the rate of interest is 20%. The interest will be calculated on the whole amount for the whole year, even though the repayment has to be done in 12 equal monthly installments starting from the first month itself. thus he will have to repay an amount of ₹600 per month for 12 months to repay ₹ 6000(principal) + ₹1200 (interest @ 20%).
If ₹ 10000 upwards is borrowed for 1 year, the rate of interest is 30% and is calculated in exactly the same manner as above.
1) if Mr Kunal is ready to pay either of the down payments then which of the installment schemes is the better option of the two ? (assume that Mr Kunal will pay the instalment) out of his own ernings and he keeps his savings with himself and earns no interest on the same). Also assume that instead of borrowing the remaining money for the down payment, he saves the balance before purchase.
A) ₹ 1000 for 2 years
B) ₹2000 for 3 years.
C) either of two
D) data inadequate.
2) what is the percentage differences in the total amount paid to the bike dealer, between the two installment schemes (with respect to the total payment of the scheme with ₹25000 down payment) ?
A) 10.2% B) 13.5% C) 11.4% D) n
3) If Kunal can spare only a total of ₹2000 to be paid to the bike dealer and the money lender from his monthly earnings starting from the first month onwards which scheme should be choose ?
A) 10000 for 2years
B) ₹1000 for 3 years.
C) either of two.
D) data inadequate.
Case 6
AMS, Inc. is the leader in selling ideas Universe wide but its maximum revenue comes from 3 principle planets only, viz., Earth, Mars, Jupiter. Further, it has three products, viz., CSP, CC, CP. In a particular year, the number of units sold had a distribution as follows : The number of unit CCs sold on Mars was 12% of the number of units of CPs sold on Earth. The number of units of CPs sold on Jupiter was 1000. Total number of CC units sold was 2600 total. Total number of CO units was 200 higher than that of the total number of units of CCs sold. The number of units of CSP sold on Mars was 10% of the number of units of CP sold on Jupiter. The number of units of CSP sold on Earth was 2000. The number of units of CC sold on Earth was 15% of the number of units of CSP sold on Jupiter.
The prices of the units on the different planets were as follows:
Earth --> ₹15 per unit
Mars --> ₹10 per unit
Jupiter --> ₹8 per unit
the number of unit of CSP sold on Jupiter was 300. The number of units of CP sold on the earth was 600.
1) The number of units of CC sold on Jupiter is
A) 1520 B) 2483 C) 3423 D) 600
2) The revenue generated on Earth is greater than that generated on Jupiter by about
A) ₹8000 B) ₹9000 C) ₹10000 D) n
3) The overall revenue generated is the highest from
A) CSP B) CP C) CCs D) can't be determined
4) The answers can be read out of the table itself
1) 2483
B) none
C) CSP
Case 7
George has recently acquired shares of four companies, namely Asian Paints(AZ), BMZ, CheaWoo(CW) and Dataman(DT). The financial results of those companies for the financially year ended 2002-03 revealed these interesting facts: Profits of AZ were 10% of its sales, while the profits of BMZ were 20% of its sales. While the profits of CW and DT were the same, the sale of CW were the same as those of BMZ. The total expenses of CW were 400% more than its profits while the sales of DT were 200 % more than its profits. The total expenses of CW were ₹10 million and the total expenses of CW were 11.11% more than those of AZ.
1) which company had the lowest total expenses?
A) AZ B) BMZ C) CW D) DT
2) which company had the lowest profits ?
A) AZ B) BMZ C) CW D) DT
3) if next year, the profits of AZ were to equal CW's current profit, then with an increase of 12.5% in sales, what would be the profit of AZ expressed as a percentage of sales next year ?
A) 17.77% B) 22.22% C) 18.88% D) none
4) If profits of DT and BMZ were to be exchanged, what would be the ratio of the profit percentage (expressed as a percentage of sales) for these two companies ?
A) 7:13 B) 5:12 C) 12:5 D) 5:13
5) what is the ratio of the highest and the lowest profit ?
A) 12:5 B) 7:18 C) 5:12 D) 12:23
Case- 8
Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dying. In Rimal Fabrics Company, there are 6 spinning machines, 10 weaving machines 5 dying machines. Each machine works for 10 hours a day. 1 units of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dying machine in order to be completed. Similarly 1 unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.
1) In a day, how many units of Fabrics Y can be completed atmost ?
A) 20 B) 30 C) 40 D) 50
2) If 20 units of Fabric Y are made in a day, how many units Fabric X can be completed same day?
A) 0 B) 20 C) 40 D) 45
3) if only 30 units of Fabrics Y are made in a day, how many machine hours will be idle that day.
A) 120 B) 130 C) 135 D) 150
4) if one more dyeing machine is added, at the most, how many more units of Fabrics X can be made in a day ?
A) 0 B) 5 C) 8 D) 10
5) If only Fabric X has to be made, what machines should be bought so that there is maximum increase in production capacity (only one machine has to be bought)?
A) spinning machine
B) weaving machine
Dying machines
D) any of the three.
6) if only fabric Y has be made, what machines should be bought so that there is a maximum increase in production capacity (only one machine has to be bought)
A) spinning machine
B) weaving machine
C) dying machine
D) anyone of three
Case -9
Answer the questions on the basis of the information provided below.
Mr. Sanjay Singh, a prosperous businessman is contemplating on setting up a religious television channel. He has tentatively called it Somvar. He estimates that with a small investment of ₹3 crore he would be able to set up the channel. His consultants, Me. Pradeep Verma and Miss Reena Singh, tell him that he would require about ₹7 lakh per month as satellite rentals, ₹5 lakh per month in running a transmitting station in Singapore and 15 lakh a month for manpower, offices, studios and other day to day costs. The only other cost is intrest paid to the bank @ 12% per annum on the initial investment of ₹3 crore. Tax paid to the Government is 30% of the profit before tax(PBT).
Unlike the rest of the television business (where the channels pay for the content), on religious channel the religious gurus pay for the content (pravachans), because the religious television channel offer them a faster way to maximize the reach and so gain in terms of donations, etc. On weekdays (Monday to Saturday) the channel charges ₹10000 for a 30-minute slot between 7:00-9:00 (prime time) in the morning and in the evening. For 9:00 AM-7:00 PM the charges are half of the charges of prime time and for all other time slots the charge are one fourth of the charges of the prime time. On weekends (Sunday) the charges are double of the normal charges in the weekdays for each other categ8.
The only other source of revenue is advertisement, Of the 30-minutes slot sold to the religious gurus, the channel actually gives only 25 minutes to the gurus and it uses the rest for advertisement. Its rate is very low as compared to the regular channels like Star Plus and Zee TV. For every 30-second advertisement slot in prime time on weekdays the channel charges ₹1000 and the ratio of charges in different time slots in weekdays And weekends are same as content charges from the gurus. (Note: 5th January of 2003 was a Sunday.) Help him with estimates for the year 2003.
1) What is the total yearly cost of running Somvar?
A) ₹324 lakh
B) ₹360 lakh
C) ₹624 lakh
D) ₹660 lakh
2) What will be the estimated total revenue generated by the channel in 2003 ?
A) ₹19.18 crore
B) ₹16.79 crore
C) ₹8.39 crore
D) Data insufficient
3) In which month of 2003 can the profit achieve its maximum level?
A) March B) June C) August D) both A and C
4) What will be the margin percentage for the month of April 2003 achieved by the channel if it got the advertisement and pravachan for the period 7:00 AM - 9:00 PM only
A) 66 B) 75 C) 104 D) 308
5) What will be the ratio of revenue from the slot 7:00AM -9:00AM, 9:00AM-7:00PM, 7:00PM- 9:00PM and 9:00PM- 7:00AM if every slots runs at 100% efficiency?
A) 4:10:4:5 B) 4:5:4:5 C) 4:10:2:5 D) 5:10:5:5
6) What percentage of the revenue will come from advertisements in a year if the channel runs on 100% efficiency?
A) 50% B) 40% C) 30% D) none
7) What is the ratio of the effective rate of advertisement per minute and the effective rate of pravachans per minute on the channel in the 9:00AM-2:00PM slot ?
A) 4:1 B) 5: 1 C) 6:1 D) 9:2
Case -10
Answer the questions based on the following information.
Mr. Vandana Surana, the farming consultant has been posed with a business decision problem by Mr Dipak Jhunjhunwala. He has 5 acres of land suitable to grow rice or dal or both, 64 man days of human labour and₹1600 as working capital. The alternative available to him is to invest in the production of rice or dal or a combination of the two crops. The labour requirement to produce rice and dal in an acre is 8 man days and 16 man days respectively while the cash requirement to grow the crop in an acre is ₹400 and ₹200 respectively. The price ratio of produce per of rice and dal is 1: 2 and in the worst alternative to Mr Kant profit is zero. The cropping season is about to begun and Mr Kant is puzzld.
1) which of the following combination of productions is possible?
A) rice (4 acre) and dal (1 acre)
B) Rice (1 acre and dal (4 acre)
C) Rice ( 2.5 acre) and dal(2.5 acre)
D) None of these
2) which of the following is the best alternative to Mr jhunjhunwala in terms of profit?
A) rice (3 acre) and dal (2 acre)
B) Rice (4 acre and dal (0 acre)
C) Rice ( 2 acre) and dal(3 acre)
D) Data insufficient
3) What is the marginal percentage in the rice (2 acre) and dal(3 acre) production alternative ?
A) 75% B) 100% C) 50% D) Can't be determined
4) at dal (3 acre) and rice (2 acre) production alternative which resource (s) are idle?
A) capital only
B) Land and capital only
C) labour and capital
D) land and labour
5) which of the following is definitely true ?
A) there are exactly two points at which the positive profits are maximized.
B) At the maximum profit levels for option A above, both labour and capital are being utilised fully.
C) To maximize his returns Mr jhunjhunwala Kant can half of his working capital in bank without compromising the maximum possible profit from the production of the crops.
D) None.
Case -11
The famous Pack & Chew Restuarant in Interlaken Switzerland, increased it's sales i
of samosa by 20% in 2006. This increase in sales was exactly equal (in terms of increase in units) as that in 2008. However, 2007 having been unusually poor year, the value of the decrease in the sales of samosas in 2007 was equal to half the value of the increase in 2008 (or for that matter in 2006).
Due to an anticipated increase in the salaries of his cooks, the proprietor Monsieur Jean Nitin Francard had increased the sales price of the samosas by 1 Euro in 2006. However, the increase occurred only in 2007, and the value of this increase was double the value of the increase in sales price in 2008.(on a per samosa basis).
The cost of making a samosa prior to the increase in wages 6 Euros, while the profit saw an increase of 80% in 2006 (when it became 14400 Euros).
The selling price was consistently in incremented ba 1 Euro every year from 2006 to 2008.
1) What is the total cost of restaurants in 2005 ?(in Euros)
A) 23000 B)24000 C) 25000 D) 26000
2) How many samosas were sold in 2008 ?
A) 4900 B) 4800 C) 5000 D) n
3) The sales value in 2007 is (in Euros):
A) 43209 B) 32000 C) 44000 D) 57200
4) What was the profit earned in 2008 ?
A) 15600 Euros
B) 13400 Euros
C) 8800 Euros
D) none
5) which what the following statements is/ are true?
i) The margin has always improved (margin = S. P- cost)
ii) the profits have increased every year.
iii) The number of years in which sales exceeded the average sales in the 4 year period. bears to the number of years in which sales was less than the average sales for the 4 year period, a ratio of 1:1
a) (i) only
b) (i) & (iii) only
c) (ii) only
d) (iii) only
Case -12
Maruti Udyog Ltd produces two models of cars -- Maruti 800 and Maruti Zen. The factory employs three spray painters, six assemblers and two quality control executives, each of them working for exactly 10 hours a day. Whereas each Maruti 800 car requires 20 mins for spray painting, 1 hour for assembling and 15 minutes for quality checking, the Maruti Zen model requires 30 mins. 1 hour and 30 mins, respectively for these activities.
1) What is the maximum number of Maruti Zen cars that can be produced in a day ?
a) 20 b) 30 c) 40 d) 50
2) What is the maximum number of Maruti 800's cars that can be produced in a day?
a) 90 b) 60 c) 80 d) 70
3) If on 1st of January, the factory has produced 30 Maruti 800's, what is the maximum number of Maruti Zen 's that can be produced?
a) 25 b) 6 d) 10 e) none
4) For the question above, what is the total value (in hours) of idle time for all workers ?
a) 5 hours b) 7.5 hours c) 10 hours d) n
5) If Maruti Udyog decides to hire one more employee of any of the three categories, what is the maximum number of Maruti 800's that can be produced in a day?
a) 90 b) 60 c) 80 d) 70
Case-13
1) Ravan on his death bed gave 4 trunks full of gold coins to his four sons -- Raman, shaleen, Tarun and ujjwal. He then told them, "Each of the trunks has a few lakh gold coins. In all, there are 20 lakh gold coins and Raman being the eldest, has got the maximum number of gold coins while ujjwal being youngest, has the least number of gold coins. Also, Shaleen has got one lakh more gold coins than Tarun". He does at this juncture. His brother Kumbhkaran awakes at this very instant and tells Shaleen ---- " I know for a fact that no one has got less than 3 lakh gold coins. Can you open your trunk and count the number of gold coins you have and tell me the number of gold coins each of you has got"? Shaleen does so, counts the number of gold coins in his trunk and answers, "Yes". Kumbhkaran then asks Raman the following questions as a test for becoming the new king. Raman being logically sound, answers all questions correctly without anybody else opening their trunks. Can you identify the answers Raman gave to secure his right to the throne?
1) The number of coins recieved by Raman is:
a) 7 lakh b) 8 lakh c) 9 lakh d) 10 lakh
2) The number of coins recieved by Shaleen is:
a) 6 lakh b) 5lakh c) 4 lakh d) none
3) The number of gold coins received by Tarun is:
a) 5 lakh b) 4 lakh c) 3 lakh d) none
4) The number of gold coins received by ujjwal is:
a) 3 lakh b) 2 lakh c) 4 lakh d) none
Case-14
A jailor decided to play a game with his prisoners who were extremely adept at logical analysis. The prisoners were Aristotle, Bach, Coutin, Dell & Einstein. He gave them each a box of money and said " Each of you have received a box of currency. All boxes look identical from outside." The jailor then asked each prisoners to secretly open the boxes and look at the currency inside. He then said "three of you have a box containing Indian Rupees; two of you have a box containing US Dollars, I shall now give each one of you a chit containing information about the box of exactly one other person ". He did so and asked them to open the chit and see the information provided to them. "None of you will be able to tell the exact currency of any third person ". Then he announced " Bach has a box containing Indian Rupees " Aristotle immediately said "I know the currency of all 5 people ". After some time Einstein also said "so do I, now," Assume: a prisoner speaks up as soon as he is able to deduce the currency of all five prisoners."
Answer the following questions:
1) Apart from Bach, the prisoners with Indian currency were:
a) Einstein and Dell
b) Aristotle and Einstein
c) Coutin and Dell
d) Aristotle and Coutin
2) The prisoners given US Dollars were:
a) Coutin and Dell
b) Dell and Einstein
c) Aristotle and Einstein
d) Aristotle and Dell
3) Whose currency was written in the chit which Aristotle received?
a) Bach b) Einstein c) Dell d) Coutin
4) Einstein did not receive a chit containing the currency of:
a) Aristotle b) Bach c) Dell d) Coutin
5) Dell did not receive a chit containing the currency of:
a) Aristotle b) Bach c) Einstein d) Coutin
6) Coutin did not receive a chit containing the currency of:
a) Dell b) Aristotle c) Einstein d) Bach
Case -15
A Road network has 13 cities A, B, C,....M that are connected by one way roads. D, L and M can only be accessed through F; A has road to C and E; there is no road from E to F; C has a road to F; B and G can be reached from E; both B and G lead to H; H has roads to I and J. K can be reached from J but the total journey to K cannot be exceed 10km; All roads are 5 kms long.
1) If Amar starts from A, he can reach all cities except:
a) J b) M c) I d) none
2) If Amit starts from H, how many places can be reach ?
a) 1 b) 2 c) 3 d) none
3) If Vikash has reached I from A, he must have travelled through :
a) E b) E and B and H c) E and H d) none
4) In order to reach M from A, the total distance travelled should be :
a) 10km b) 5km c) 20km d) none
5) the distance between A and K is:
a) 15 b) 20 c) 25 d) cannot be determined
Case -16
In catalyst-16 test conducted by AMS CAREERS, Neeraj is rated higher than Ravi who is four places above Manish. Manish is rated higher than Kislay but lower than Shyam who is not in the top four. Vinay is in the top four but there are three peoples above him. Shekhar is rated higher then Kislay but is one rank lower than Vinay. Sanjay is rated lower than Neeraj but higher than Ravi. A section test is also conducted in which the descending order of merit in the catalyst-16 test is reversed. The CEO of Infosys are distributed the prizes to the top scorers.
1) How many people have identical ranking in the both the tests.
a) 3 b) 2 c) 1 d) none
2) Who hold the fifth rank in the section tests?
a) Shekhar b) Vinay c) Ravi d) None
3) What rank does Sanjay have in the section test ?
a) 2nd b) 3rd c) 6th d( 7th
4) How many people figure above Manish in section test ?
a) none b) one c) Two d) six
5) whom does the chief guest, Harsha, award the first prize in the Catalyst test ?
a) Neeraj b) Kislay c) Vinay d) Shekhar
Case-17
In a pond there are three types of fish-- big, medium and small. If possible, each big fish eats 1 medium fish a day While each medium fish eats two small fish a day. Due to overeating, each big fish dies exactly 5 days after coming to the pond. The management of the pool adds X, 3X and 8X big, medium and small fish to the pond at the beginning of each day. The pond was emptied on 1.1.2002 and 15, 45 and 120 big, medium and small fish respectively were put in the pond. ( X=15 unless otherwise specified.)
Assume a fish eats its quota of fish before it is eaten by a fish. Each date in the questions pertains to the end of the day.
1) On 10.1.2002, the number of small fish in the pond was :
a) 60 b) 90 c) 120 d) none
2) On 3.1.2002, the number of fish in the pond was
a) 75 b) 150 c) 90 d) none
3) if on 4, 1, 2002 all the fish decided to fast, then the number of medium fish on 6, 1,2002 was
a) 90 b) 45 c) 20 d) 0
4) On 3.1,2002 three Big Fish die or food poisoning. As a result the number of small prism 4.1.2002 was
a) 66 b) 42 c) 54 d) none
5) Due to heat wave on 2.1.2002, the medium fish ate Half the number of small fish than usual. The number of small fish on 3,1.2002 was
a) 15 b) 45 c) 30 d) none
6) The ratio of big fish to the medium fees on 5.1.2002 was;
a) 3:1 b) 1:3 c) 2:1 d) none
7) the number of small fish first exceeded the number of big fish (after 1.1.2002) on:
a) 2.1.2002 b) 9.1.2002 c) 4.1.2002 d) 5.1.2002
8) if X= 20 on even dates and 15 on odd dates, the number of Big fish on 6. 1. 2002 was
a) 45 b) 60 c) 20 d) none
9) X= 15 on even dates and 20 on odd dates, the number of medium fish on 3.1.2002 was:
a) 60 b) 55 c) 45 d) none
10) A toxic chemical introduced in the pond on 3.1.2002 killed 2/3rd of the medium fish. The number of small fish on 5. 1. 2002 will be:(assume the medium fish were killed before they ate the small fish that day).
a) 90 b) 60 c) 120 d) none
Case -18
A consultancy firm obtain the following demand function for the television industry P= 2500 -0.1Q.
Two firms A and B estimated their cost functions to be Cᴬ = 240 - 120Qᴬ and Cᴮ = 300 - 20Qᴮ + 2.5(Qᴮ)².
Assume everything produced is sold.
(P= Price of the product and Q= Quantity produced)
(Qᴬ = Quantity produced by firm A and Qᴮ = Quantity produced by firm B)
1) What will be the firm A's profit if it were to produce 80% of the industry demand?
a) 1000 b) 1200 c) 1450 d) insufficient data
2) What will be the firm B's profit if it were to produce 100% of the industry demand ?
a) 2000 b) 2500 c) 1775 d) insufficient data
3) zwhat will be their combined profit if each produced 50% of the industry demand
a) 3000 b) 3700 c) 2225 d) insufficient data
4) What would happen to the industry revenue if firm A produced 50% of the demand and firm B produced 50% of the as opposed to A production producing 100% of the demand ?
a) increase b) decrease c) remain the same d) cannot tell
5) What would happen to the industry revenue if A produced 80% and B produced 20% of the industry demand as opposed to B producing 100% of the demand ?
a) increase b) decrease c) remain the same d( cannot tell
6) What should be the price/television to sell 10000 units ?
a) ₹2500 b) ₹2000 c) ₹1500 d) cannot determined
Case - 19
Two partners in business, Rajesh and Arun started business in 2002. In 2003 the profits were divided in such a way that Rajesh got ₹8000 and Arun took 20% of the profit. The next year both individually got ₹12000. In 2006 Rajesh got 25% of the profit, while Arun took ₹15000 which was 25% more than what he got the previous year when the split between him Rajesh was in the ratio 4:6.
Based on the above data, answer the questions:
1) Rajesh's share of the profit in 2005 was.
a) ₹12000 b) ₹18000 c) ₹24000 d) none
2) The firm's total profit for the 4 years was :
a) 68000 b) 84000 c) 48000 d) none
3) the ratio of the Rajesh's share of profit in 2004 and 2005 to Arjun's share in the same period was
a) 5: 2 b) 4: 5 c) 6: 3 d) none
4) the increase in Arun's share from 2003 to 2004 was
a) 400% b) 600% c) 500% d) none
5) Who earned more money from 2003 to 2006 ?
a) Rajesh b) Arun c) both got equal amounts d) cannot be determined
Case -20
A control panel consist of 3 on-off switches X, Y and Z which must be changed from an initial setting to a second setting in accordance with the following rules :
A) If switch X is the only ones on in the initial setting, turn on switch Z.
B) If Y and Z are the only ones on in the first setting, turn on switch X.
C) If all the three switches are on in the initial setting, then turn off switch X.
D) For any other initial setting turn on all the switches that are off and turn off all the switches, if any, that are on.
1) If the initial setting is X on, Y on, Z off, what is the second setting?
a) X off, Y on, Z on b) X on, Y off, Z on
c) X on, Y off, Z off d) X off, Y off, Z on
2) if Y is the only switch on in the initial setting, what must be the second setting ?
a) X on, Y on, Z on b) X on, Y on, Z off c) X on, Y off, Z on d) X off, Y off, Z on
3) If all three switches are on in the second setting, which of the following could have been the initial setting ?
a) X on, Y on, Z on b) X on, Y on, Z off c) X off, Y on, Z on d) X off, Y on, Z off
4) If X is off in the second setting, which of the following could have been the initial setting ?
a) X on, Y on, Z on b) X on, Y on, Z on c) X off, Y on, Z on d) both a and b
5) if Y is the only switch on in the second setting, which of the following must have been the initial setting ?
a) X on, Y on, Z on b) X on, Y off, Z on c) X off, Y on, Z off d) X off, Y off, Z on
6) which of the following initial settings results in a second setting in which only one switch if off ?
a) X on, Y on, Z off b) X on, Y off, Z on c) X off, Y on, Z on d) X off, Y on, Z off
Case -21
A question in data interference has to go through 3 stages in a process in order to be completed-- Conceptualizing, Creating and Proof reading. At AMS Learning System there are 4 Conceptualisors, 10 Creators and 4 Proof Readers. Each person works for 10 hours a day. One question of DI needs 40 minutes for Conceptualizing, 2 hours for Creating and 30 minutes for proof reading in order to be completed. In the same order, one question of QA needs 1 hour, 2 hours and 1 hour for Conceptualizing, Creating and Proof reading respectively.
1) In a day, at most how many questions of QA can be completed ?
a) 30 b) 40 c) 50 d) 20
2) If 25 questions of QA are made in a day, how many questions of DI can also be completed on that day ?
a) 22 b) 25 c) 30 d) none
3) If only 35 questions of QA are made in a day, how many man hours will be Idle, in total ?
a) 10 b) 15 c) 60 d) 40
4) If in 1 more Creator is added, at most how many questions questions of DI can be made in a day ?
a) 35 b) 60 c) 30 d) can't be determined
5) If only DI questions have to be made in AMS Learning systems, what category of worker should be hired so that there is maximum increase in production capacity ? (only one more worker can be hired)
a) conceptualizor b) Creator c) proof reader d) can't be determined
Case -22
There are 6 Operationd A to F to be performed in the manufacture of a computer chip. The following rules govern the production process.
A) Operation C and E have to be performed after, but not necessarily immediately after Operation F:
B) The first operation can be either Operation B, A or D;
C) Operation F must be immediately after Operation A; and
D) Operation E immediately follows Operation C.
1) If Operation A is the third step, then the number of different orderings of operation possible is
a) 4 b) 3 c) 2 d) 1
2) If Operation B is the first step, then Operation F must be:
a) the second step
b) the third step
c) the four step
d) either b or c
3) If Operation C must immediately follow operation B, then
a) Operation B can be either first or second
b) Operation A can only be the third or fourth.
c) Operation C cannot be third.
d) none of these.
4) If Operation C and Operation E are replaced by a single operation Operation G, then the number of possible orderings.
a) remains the same b) decreases by 6 c) increases by 6 d) increases by 4
5) If Operation A costs ₹1, Operation B ₹2 and so on, then the production cost of 80 computer chips is
a) 1660 b) 1520 c) 1680 d) 1420
Case -23
Kaku and Chiku are in charge of counting the number of people who get on and off an elevator in Hotel Radisson fort at Jhumritalaiya. Each of them divides their counting time such that the timings are mutually exclusive. Thus, the morning, noon and night shifts yield their own individual counts for both Kaku and Chiku. No person getting on or off the elevator is double counted by both of them. The following conclusions are drawn.
A) On chiku's noon shift, there were 23 fewer people than his morning shift.
B) Kaku and a noon ships this was 7 count higher than the night count but 30 more 37 Kaku night count is 37 more than a chiku's morning count Corpus morning count is the same as chicku's average count breath on the above information answer the questions what is the difference between Kaku and chiku's moon count 13 14 26 28 what is the total count of the Bodh Kaku and Chiku 492 482 472 500 12 which of the following statements each are not true Chiku has a higher count in at least two seats kaku's total count is higher than cheque kaku is account of 23 more than the night shift the closest count for them even the morning shift only all three only in a Cell at Hotel rather Gaurav birthday clothing item some but old dresses and all were happy to have saved some money the following information is available a bicycle was birth at a discount a 50% by a person of the name start with H Chandra but the 1500 item for 80% of person value the tyres were sold of 100 less than they are original One price in clothing item was sold for 50 Pradeep spent 400 less than Chandra Harish paid for his dress with a Rs 1000 note and received 925 in change Gaurav spend less for his item then Sanjay who spend less price item did not sale at the highest price not with the lowest price item sale at the lowest price address is sweater dresser a mobile phone tires and bicycle were sold not descenda respectively by Gaurav Pradeep Sanjay Chandra Harish and Harendra the prices paid for the 6 items we are 86120175 and 50 and their original prices were 2500 300 and 1200 against not necessary respectively who has been looking for a dresses for a long time the discount received by Pradeep amounted to 150 12500 some other value what item did Harendra bhai dress sweater tires none how much did Chandra spent 861200 done which of the following is count was not got by any of the seeds 125 600 to 5500 what was the original price of the sweater 20901000 the rate of taxation has the following slapse in India taxable income tax rate 0 to 50000 extent 50000 to 60000 10% 60000 to 150000 150000 + 30% for salad is employees have a salaries below 150000 PS standard deduction of 30000 available in salaried employees which is reduced from the total income beside a rebate is available on investment in various setting schemes like probated fund in prostructure Bond post office saving etc the rebate is calculated a 20% of the total investment in the saving instruments does it a person has invested 10000 in some saving instrument he guest 2000 on his next ability hi everybody salary increases above 150000 the standard reduction is reduced to 25000 and the rebate on investments is in calculated at the rate of 15% of the total investment does a person selling 20000 will get a bed of 3000 only ability besides the tax surcharge of 10% is added on the total tax liability for all tax payer also working women for the rebate of 5000 available to them on they are total tax liability based on the above information and questions what will be the total tax liability of Mr Rajiv Srivastava who has the salary of 150000 assume to 40000 in the year 5000 500 1000 data in sufficient for the question about Mr Srivastava salary increases by 5000 what will be the change of his net income after tax assuming that he again saves 40000 in the year increased of 1000 degrees of 800 increase of 600 increase of 5000 Mrs Srivastava walk in the same form earn salary 150000 how much must see same to pay note tax for the year 4140000 Prakash purtia Jo salary income 144 000 as consultancy income he has saved 70000 for the year in tax savings investment how much tax will he have to pay 188 14800 a few friends meet each morning for test T for one of them it is only the first of 8 cups while for another it is the only Cup the following information is available Amit uses three times as many sugar cubes as the person who drinks for cups three friends use no milk one of them is the one who used for sugar cubes someone other than rupees drinks one tea cup a day without milk and without sugar Vandana uses both milk and sugar Ritesh uses the mail uses half as a many sugar as the person who drinks twice as many cups as he does Bharat no milk in HD band rings two more cups Dena need who uses to more sugar cubes them then the number of crops consumed including one four five six and eight while the number of yours is 0124 and 6 how many cars does Ritesh drink 1451 full drink the largest number of teacups Ritesh Amit Ben none which of these is not a combination of kapson sugar clubs 4 to 5411 8462 the highest sugar consumption per kab consumed is for Amit Ritesh Vandana Bharat in the famous game of Khul Ja Sim SIm there are five boxes it with numbers inside them finding out the correct number in the correct box is a perma Paramount importance when you go to play the game the 5 oxygen placed in front of you as follows beside the game sword post gives you the following close one of the boxes other than she has number 1347 one box as the sum of 1113 625 and 496 and is to the left of the box of the number is the difference between 1.51 one of the boxes in the value of box b by the double of 6.89 the sum of 13.2 3.487.5 000 what is the value inbox 25.17 25.4 125.711 what is the value inbox d 22.34 11.93 13.47 25.17 What is the value inbox B 11.39 11.93 8.56 the sum of the value of all the boxes is 98.6 to 84.381.45 none a pond at three types of fishes big median and small on the 31st July the were 100 big 500 mediums and 4000 small pieces everyday the number of small pieces becomes double it's a value of the previous day however 3 small pieces are eaten by each medium is everyday does the doubled number of small pieces reduced by the number of small pieces eaten by medium pieces to get the Tally at the end of the day the days and values double the next day the medium pieces are increment by 2:50 a Britain and the incremented number of medium pieces it's 3 small pieces everyday however the number of medium pieces are reduced after that due to big fishes eating the number of big faces increased by 25 week day by the birth of 25 weeks daily big fishes have a lifespan of 10 days little princess medium fishes have a life when a 15 days the questions below are concerned with the going on the first week of August assume that on the 31st July all faces in the pond are zero days old what is the maximum value of the number of medium pieces during the period 1100 1125 875 850 on which day will this maximum get achieve the 6th August 7th August 5th August 5th and 6th August what is the number of small pieces are the end of 7th August 1920 1886 75 9625 99400 what is the total number of small pieces it in during the period 18000 1920000 21000 what will be the number of small pieces in the period at the end of august 194 to 15 to 25.69 what is the total number of fishes in the pound at the end of fourth August 2750 26527315 what is the ratio of the number of medium pieces eaten between first to 7th August one is to wait in one is to 21 to 15 1 is to 12 message Kesari the CEO of Kesari foods is facing a vital business division is company has two exciting new invention of mango varieties the company has the option to go in for further development of either of those two varieties Alfaaz so super your and langda inferior he is image that the development cost of Alpen so super year would be 750,000 while langda interior wood cost 250000 the salaries of scientist old 28% of the cost while the research equipment and development facilities old account for 39% it expective of the varieties of mango develop patent cost would be 30000 each while the rest of the budget would be counted for buy overheads make a Kesari calculate that account country wise pattern super yours would be 7500 for territory in developed countries and 2500 per year for territory in an under developed country the country wise pattern licence fees in the loved and under developed countries for langda 1250 per territory the latest event statistics source that there were 15 days in the world which could be classified as developed territories and 25000 patenting cost would constitute what percentage of the total cost for Alphonso superior 12% 4% 6% 8% what is the overhead cost for alphanso superior 1124 509 if the product was to be distributed it only 35% of the developed countries then then what would be the earnings in through the distribution of alpensor superior variety into years at 820000 the licence fee of langda in failure if it will life changed to all the availability for a period of a 1 year old amount to 480000 5000 none the cost of developing the Alpha superhero varieties actually 40% higher than the estimated cost due to it arrival miss calculation on the Mrs Kesari spot than the scientist please in associa remain same 2009 4029.4 to 949 if the development blueprints superhero could be sold at 23 then what would be the revenue promissal in asuming that Mr Kesari is about to sab the development blueprints in only 130 territories of developed countries and 13 territories of under developed countries 243 4860 if the licence fee rates of langda interior in the development under developed countries where to go up by 20% then the revenue earned in 1 year in all the available territories would be 400 2500000 6000 600000 if the patent in cost for langada Imperial decreases by 35% then what would be the attending cost as a percentage of the total cost for developing failure as you that there is no change in the other components of the cost 6% 8.8% 7.8% 8.14% if the cost of research equipment of development facilities for Alphonso superior goes up by 25% then increase in a cost of developing and patent Alphonso super year would be 365625 27455.75 344 565 there are six sitting spaces in an office number 136 consecutively and R2 be assigned to 6 people ABCDE and F not studying that order only space one and 6 have a computer and sitting arrangements must made the following experiments requirements he must be a signed its space with a computer see must be a signed in space 4D and must have at this and species be and a d must not have at the same species if a given space to which of the following must be true be is given space 3 is given space 6 FB is given space to which of the following must be true As given space 3 is given space 6 f is given space 5 is given space 5 if these given a computer which of the following must be true As given space 5 please give in space 6 days given space 3 is given space 1D are given space which of the following must be true As given space given space given space 3 f is given space 3 if a is given page abnf arceated is given space 3 if a and ER given at 10 space f is given space to only and and only the seven heads of the Nations lmno PQ and are representing suck are meeting laltampur they are sitting arrangements are to be made in the following way in a Rowan being the host must be at the centre p and q r c t at opposite corner and differences of opinion on a number of issues and like to sit as far away from each other at possible immediately next 12 then answer the following questions are using the information given which of the following is true and are cannot be together l is planned by M and none both side and his next to P or Q or is second from left which of the following which of the following cannot be seated tog ether and O and q gomji as recently acquired shares fore companies namely are is owner BMG o c w and dinditech the financial result of this companies the financial year ended 2004 to 5 Rebel these interesting facts profits of Arizona 10% of IT sales while the profit of them 20% of itself while the profit of Delhi take where the same the sales of same as those evmjet the total expenses of 100% more than its profit where are the sales total expenser 10 million and the total expenses of g o were 11.11% more than those are parallel which company had the highest total expenses a z bmz wdt which company has the highest profits if in the following year the profits of a z to equal to cws current profit then with the increase of 12.5% sales what will be the profit of a z expressed as a percentage of sales in the following year 16.58% 15.56% 17.78% 14.46% if the profit of BM Z and DTU at the exchange what would be the ratio of the profit percent Express as a percentage of sales for those two companies 7 to 13 5 * 12 what is the ratio of the highest in the lowest profit 12:58 27 school annual sports coordinates committee is to be constituted from among the principal Vice Principal tea the student personal officer spoa the moderator of students and the high school class represented tips the enf and the plus two class represen reduce PQ and art the committee to be constituted must have any president secretary members only the principle or Vice Principal can be the president this pure the moderate may be secretary members elected have to be from among the students both the high school students and the plus two students the following condition must have ever be made when constitution if a is on the committee are to has to be chosen if these in the committee PNR cannot be a bees in the committee D and q cannot be far is on the committee and cannot be able the president RAM is the secretary which of the following can be members PDF the secretary and chew is not a member which of the following if a is the secretary Q is not a member which of the following is true BRT cannot be the president the committee can be form in exactly two ways is a member both a and b and how many ways the can the committee be formed if teach the president and age the secretary 345 more than 5 if is the only High School Class representative on the committee which of the following combination is valid if the only plus two classes the committee in how many ways can the committee be found one way to way 3 way more than three ways justice stationery shop in the year 2000 is a revenue in the first year of operating Bin 25000 which incidently is also is cost in the following year the amount the profit available remain constant for both these years in 2000 to the Rebel increased by 7500 over the previous year but the profit could increase by only 50% from the profit of the last year the revenue for the year 2003 could increase buy only 20% about the previous year the cost for learning the same pattern the revenue for 2000 was 30000 in which year was the increasing profit percent the maximum 2001 2003 2002 the percentage cost was the highest in the year 2001 and 2023 which of the following is true the highest profit and is one and half time the lowest profit on the second lowest cost is 4 times the lowest profit and the second highest revenue it was to 3rd highest when asked about their ages Three Sisters Amba Ambika and Ambalika and said in the following way Amba Ambika is the youngest Ambalika the difference between ambika's age and minus 3 years Ambika either I am 14 years old or Amba 15 or Ambika 16 Amba all are above 14 years of age Ambalika I am the eldest if and only if Ambika is not the youngest Ambika Ambika is elder to me and the eldest Ambika is not 17 years old Ambalika the sum of my age of ambaz his four more than twice age exactly one of them had been lying throughout while the other spoke the who has been line Ambalika Ambalika cannot be determine what is America 17 years 16 years 15 years cannot be to mind what is ambika's age 12 years 13 years 16 years cannot be to mind what is the 13 year 16 years 12 years cannot be determined when the crisis heat the IMF let the rescue efforts but it wanted the World bank is provides 5.6 billions of the rescue package the total rescue package was 22.6 billion the IMF would be provide 11.2 million of the total as I stated before the World bank 6 billion and the rest would be provided by the Japanese government based on the above information and send the question that follows which of the following is correct the World bank paid as much as 1111.11% of what the Japanese did not pay of the total rescue package the IMF paid more than 50% of the total but less than 100% of what the World Bank and Japanese together paid the Japanese paid less than the World bank but more than I am f if Japan had a declined to pay 50% of what is actually paid then how much more would World Bank have to pay asume that the World bank paid the entire deficit does created 45% of it commitment less than 25% what I am did not be less than 25% what I am update only only all of this Japan Japanese 76% of what I am up and World Bank together paid either you both the World Bank and Japan where to pay Qual a mouse with the no change in IMF contribution then which of the following option is yield the World bank would have to pay only 5% less than what is actually paid Japan will have to pay 5% more than what it actually paid the percentage drop in world banks contribution will the greater than the percentage rise in Japan contribution none of this
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