Comprehension
Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.
Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.
The table below provides partial information about the five firms.
Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.
The table below provides partial information about the five firms.
| Firm | First year of existence | Last year of existence | Total amount raised (Rs. crores) |
|---|---|---|---|
| Alfloo | 2009 | 2016 | 21 |
| Bzygoo | 2012 | 2015 | |
| Czechy | 2013 | 9 | |
| Drjbna | 2011 | 2015 | 10 |
| Elavalaki | 2010 | 13 |
Question: 1
For which firm(s) can the amounts raised by them be concluded with certainty in each year?
For which firm(s) can the amounts raised by them be concluded with certainty in each year?
Updated On: Nov 7, 2024
- Only Bzygoo and Czechy and Drjbna
- Only Czechy
- Only Czechy and Drjbna
- Only Drjbna
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The Correct Option is C
Solution and Explanation
The possible cases for all 5 companies is:
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |
| A | 1 | 2 | 3 | 4 | 5 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 4 | 3 | 2 | 1 |
| B | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 3 | 1 | |
| 1 | 3 | 3 | 1 |
| C | 2013 | 2014 | 2015 | 2016 | 2017 |
| 1 | 2 | 3 | 2 | 1 |
| D | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 4 | 2 | 1 |
| E | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 3 | 5 | 3 | 1 | - | |
| 1 | 2 | 3 | 4 | 2 | 1 | |
| 1 | 2 | 4 | 3 | 2 | 1 |
For C and D, we can definitively conclude the amounts raised.
So the correct option is (C): Only Czechy and Drjbna.
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Question: 2
What best can be concluded about the total amount of money raised in 2015?
What best can be concluded about the total amount of money raised in 2015?
Updated On: Nov 7, 2024
- It is either Rs. 7 crores or Rs. 8 crores or Rs. 9 crores.
- It is either Rs. 7 crores or Rs. 8 crores.
- It is either Rs. 8 crores or Rs. 9 crores.
- It is exactly Rs. 8 crores.
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The Correct Option is B
Solution and Explanation
The possible cases for all 5 companies is:
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |
| A | 1 | 2 | 3 | 4 | 5 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 4 | 3 | 2 | 1 |
| B | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 3 | 1 | |
| 1 | 3 | 3 | 1 |
| C | 2013 | 2014 | 2015 | 2016 | 2017 |
| 1 | 2 | 3 | 2 | 1 |
| D | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 4 | 2 | 1 |
| E | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 3 | 5 | 3 | 1 | - | |
| 1 | 2 | 3 | 4 | 2 | 1 | |
| 1 | 2 | 4 | 3 | 2 | 1 |
Money raise in 2015 is 2+1+3+ \(\frac{0}{1}\)=7 or 8.
So, the correct option is (B): It is either Rs. 7 crores or Rs. 8 crores.
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Question: 3
What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?
What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?
Updated On: Nov 7, 2024
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Solution and Explanation
The possible cases for all 5 companies is:
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |
| A | 1 | 2 | 3 | 4 | 5 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 4 | 3 | 2 | 1 |
| B | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 3 | 1 | |
| 1 | 3 | 3 | 1 |
| C | 2013 | 2014 | 2015 | 2016 | 2017 |
| 1 | 2 | 3 | 2 | 1 |
| D | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 4 | 2 | 1 |
| E | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 3 | 5 | 3 | 1 | - | |
| 1 | 2 | 3 | 4 | 2 | 1 | |
| 1 | 2 | 4 | 3 | 2 | 1 |
Maximum Money raise in 2013 is 5+3+1+4+4=17
So, the correct answer is : 17 crores.
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Question: 4
If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in 2012?
If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in 2012?
Updated On: Nov 7, 2024
- 12
- 9
- 11
- 10
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The Correct Option is C
Solution and Explanation
The possible cases for all 5 companies is:
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |
| A | 1 | 2 | 3 | 4 | 5 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 4 | 3 | 2 | 1 |
| B | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 3 | 1 | |
| 1 | 3 | 3 | 1 |
| C | 2013 | 2014 | 2015 | 2016 | 2017 |
| 1 | 2 | 3 | 2 | 1 |
| D | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 4 | 2 | 1 |
| E | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 3 | 5 | 3 | 1 | - | |
| 1 | 2 | 3 | 4 | 2 | 1 | |
| 1 | 2 | 4 | 3 | 2 | 1 |
Given that E raised 3 in 2013 = in 2012 he could have raised a minimum of 4 crores.
= Minimum amount is 4+1+0+2+4=11
So, the correct option is (C): 11.
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Question: 5
If the total amount of money raised in 2014 is Rs. 12 crores, then which of the following is not possible?
If the total amount of money raised in 2014 is Rs. 12 crores, then which of the following is not possible?
Updated On: Nov 7, 2024
- Bzygoo raised more money than Elavalaki in 2014.
- Alfloo raised the same amount of money as Bzygoo in 2014.
- Alfloo raised the same amount of money as Drjbna in 2013.
- Bzygoo raised the same amount of money as Elavalaki in 2013.
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The Correct Option is D
Solution and Explanation
The possible cases for all 5 companies is:
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |
| A | 1 | 2 | 3 | 4 | 5 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 4 | 3 | 2 | 1 |
| B | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 3 | 1 | |
| 1 | 3 | 3 | 1 |
| C | 2013 | 2014 | 2015 | 2016 | 2017 |
| 1 | 2 | 3 | 2 | 1 |
| D | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 2 | 4 | 2 | 1 |
| E | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
| 1 | 3 | 5 | 3 | 1 | - | |
| 1 | 2 | 3 | 4 | 2 | 1 | |
| 1 | 2 | 4 | 3 | 2 | 1 |
Given that the total amount raised in 2014 is 12:
3+1.5+2+2+0.5=12
Another possible case is:
3+3+2+2+2=12
A) In 2013, B raised 2 crores and E also raised 0.75 crores = Not Possible
B) In 2013, A could have raised 1.25 crores and D raised 4 crores = Possible
C) In 2014, A raised 3 crores and B raised 3 crores = Possible
D) In 2014, B raised 3 crores and E raised 2 crores = Possible
So the correct option is (D): Bzygoo raised the same amount of money as Elavalaki in 2013.
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- Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.
Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.
The table below provides partial information about the five firms.What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013? (This Question was asked as TITA)Firm First year of existence Last year of existence Total amount raised (Rs. crores) Alfloo 2009 2016 21 Bzygoo 2012 2015 Czechy 2013 9 Drjbna 2011 2015 10 Elavalaki 2010 13 - Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants’ scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.
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