This is the first set under the CAT 2016 Sprint Preparation Series – LRDI 1. Over the next 5 days, we will be covering around 300 questions that we expect to come across in CAT 2016. The answers to LRDI Sprint CAT 2016 – Day 1 will be posted at the end of the day and will include the solution, possible traps and things to keep in mind come similar question types in CAT 2016. You may go through the entire series here: CAT 2016 Sprint Preparation Series by Learningroots
CAT 2016 Sprint Preparation Series – LRDI 1
DI Set 1
Answer these questions based on the data provided in the table below.
1. Suppose the average employment level is 60 per factory. The average employment in ‘wholly private’ factories is approximately
a. 43
b. 47
c. 50
d. 54
2. Among the firms in different sectors, value added per employee is highest in
a. Central Government
b. Central and States or Local Governments
c. Joint sector
d. Wholly private
3. Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are
a. Joint, Wholly private, Central and States or Local Governments
b. Wholly private, Joint, Central and States or Local Governments
c. Wholly private, Central and States or Local Governments, Joint
d. Joint, Wholly private, Central
4. A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is
a. Wholly private
b. Joint
c. Central and State or Local
d. Others
5. The total value added in all sectors is estimated at Rs. 1,40,000 crore. Suppose the number of firms in the joint sector is 2,700. The average value added per factory, in the Central Government is
a. Rs. 141 crore
b. Rs. 14.1 crore
c. Rs. 131 crore
d. Rs. 13.1 crore
DI Set 2
Answer these questions based on the data presented in the figure below.
FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to its GDP. The following figure displays the FEIs for select Asian countries for 1997 and 1998.
6. The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is
a. India
b. China
c. Malaysia
d. Thailand
7. Based on the data provided, it can be concluded that
a. absolute value of foreign equity inflows in 1998 was higher than that in 1997 for both Thailand and South Korea.
b. absolute value of foreign equity inflows was higher in 1998 for Thailand and lower for China than the corresponding values in 1997.
c. absolute value of foreign equity inflows was lower in 1998 for both India and China than the corresponding values in 1997.
d. None of the above can be inferred
8. It is known that China’s GDP in 1998 was 7% higher than its value in 1997, while India’s GDP grew by 2% during the same period. The GDP of South Korea, on the other hand, fell by 5%. Which of the following statements is/are true?
I. Foreign equity inflows to China were higher in 1998 than in 1997.
II. Foreign equity inflows to China were lower in 1998 than in 1997.
III. Foreign equity inflows to India were higher in 1998 than in 1997.
IV. Foreign equity inflows to South Korea decreased in 1998 relative to 1997.
V. Foreign equity inflows to South Korea increased in 1998 relative to 1997.
a. I, III and IV
b. II, III and IV
c. I, III and V
d. II and v
9. China’s foreign equity inflows in 1998 were 10 times that of India. It can be concluded that
a. China’s GDP in 1998 was 40% higher than that of India
b. China’s GDP in 1998 was 70% higher than that of India
c. China’s GDP in 1998 was 50% higher than that of India
d. no inference can be drawn about relative magnitudes of China’s and India’s GDPs
LR Set 1
Nine horses participated in a horse tournament. Five races were held in this tournament. The winner of a race gets 5 points, 2nd gets 3 and the 3rd gets 1. The table gives the points tally.
One race is held between five horses. The first race is held among the first 5 horses from the left in the above table. Out of these horses, A drops out of the race and a new horse. ie. F enters into the race. In the next race, B drops out and G enters and so on. It is also given that H is the only horse that scored in 2 consecutive races.
10. What was the position of horse F in race 4?
a. 4th
b. 2nd
c. 3nd
d. Cannot be determined
e.1st
11. What is the ratio of the points scored by “G” and E in race 5?
a. 1:3
b. 3:1
c. 1:5
d. Cannot be determined
e. 5:1
12. The first 3 rankers of the race 3 in some order?
a .C, E, G
b. D, E, F
c. C, D, F
d. C, E, F
e. C, G, F
13. D could have come third in which of the following races?
a. Race 1
b. Race 3
c. Race 4
d. Race 5
e. Cannot be determined
14. Suppose if C had 6 points and E had 7 points while the points of the rest of the horses remain unchanged then E could’ve come second in
a. One race
b. Two races
c. At most one race
d. At most 2 races
e. Cannot be determined
LR Set 2
The following table gives the number of students in all the different classes of LR Public School in the years 2015 and 2016 respectively.
It is known that
i. New students join the school only in class 1
ii. No student leaves the school before passing out from class 6
iii. The students, who fail, have to repeat the year.
15 If no student of class 5 failed in the year 2015, then what is the pass percentage of class 6 for the year 2015?
a. 22.66%
b. 16.66%
c. 83.33%
d. 77.77%
e. None of these
16. If the new joiners in the year 2016 were 76, then the number of students failed in class 6 in the year 2015?
a. 10
b. 14
c. 8
d. 16
e. 20
17. How many students of class 3 failed in the year 2015, if no student of class 5 failed in the year 2015?
a. 12
b. 8
c.10
d. 14
e. None of these
18. If number of students of class 1 failed in the year 2015 is 64, then what is the total number of students failed in the year 2015?
a. 150
b. 182
c. 195
d. 164
e. 176
19. The highest pass percentage of class 1 can be?
a. 55%
b. 60%
c. 58%
d. 50%
e. 65%
Solutions:
LRDI 1 Sprint Solutions
Set 1
1. Let the total number of factories be 1000. So, there are 903 factories that are wholly private. The total number of employees is 60*1000 = 60000 out of which, wholly private has 64.6% i.e. 38760. So, average employment will be approximately 43.
2. This is extremely straightforward and you have to simply take the ratio of value added to the employment. So, 1.8 is the highest value that we get from Central and States or Local Governments.
3. Again it is calculation based and so, we need to get the ratio of Gross output to the Fixed capital. Option b is correct.
4. Simple calculation based question again and so, we need to figure out the ratios value added:employment and value added:fixed capital. Option c is correct.
5. 1.8% of total firms is 2700. Total firms are 150000.
Central government has 1500 factories. Value added by Central Government = 14.1% of 1,40,000 crore = 19,740.
Hence, required average value added = 19740/1500 = Rs. 13.1 crore.
6. You need not even calculate here. The fall for India is by 1 point whereas that for the others is by 1 point or 0.5 points. So, it is fairly obvious that India would show the highest change (remember, we are not supposed to check the fall or rise but the absolute change) as it has the lowest denominator.
7. The chart talks about only growth rates and so, we cannot comment on the absolute values.
8. We would need to assume that the GDP of India in 1997 to be x.
For 1998, India’s FEI = 0.72 * 102x/100 = 0.7344x
And foreign equity inflows for 1997 = 1.71x
For China, let’s assume the GDP to be y. Then, FEI in 1998 = 107y/100 × 4.8 = 5.136y. And FEI in 1997 = 5.96y.
For South Korea, let GDP be z.
FEI in 1998 = 95z/100 × 2.5 = 2.375z and FEI in 1997 = 2.16z.
FEI of India and China were lower in 1998 than in 1997, while that of South Korea was higher in 1998 than in 1997. Option d.
9. Let China’s GDP in 1998 be x and that of India be y
4.8/x = 7.2/y
x/y = 2/3
Option c is correct.
10-14. The key to solving this lies in the representation. The table below might just be the best way to show the data and simplify it further.
The key thing to notice here is that, in all races we know who the winners will be and so, the only way E can score 5 points is through a 3-1-1 split. Post that, everything else is derivable.
10. b
11. d
12. a
13. c
14. For the 14th question, the table would change by a bit.
The first one is invalid and so, we get d as the correct answer.
15-19
The easiest way to do this is to understand from where the students are entering a class and how they are leaving and then balance the two.
In short, we can rely on this nice little chart:
Now, we know that the horizontal arrow represents the students who have failed and the slant arrow represents the students who have passed. So, the figure under 2016 is a sum of the two arrows that reach that particular block and the figure under 2015 is split into two parts. Now it becomes easy to visualize the questions.
15.
Pass percentage is 30/36. Option c
16.
Option d.
17.
Option e.
18.
Count all the horizontal lines which will give us 182. Option b.
19.
The important thing to note here will be the limiting factor. You cannot start with class 1 itself as you are bound to get stuck somewhere in between. So, what you can do is, look at the previous figure and understand where the lowest failures will lie. So, class 5 is your limiting condition and so, we will start backtracking from class 5. Option a is correct.
Hope you liked the sets. Stay tuned for tomorrow’s sets.
You may go through the entire series here: CAT 2016 Sprint Preparation Series by Learningroots.
