Directions (Q1-4): Answer the questions based on the following information.
Venkat, a stockbroker, invested a part of his money in the stock of four companies…. A, B, C, D. Each of these companies belonged to different industries, viz, Cement, Information Technology (IT), Auto and Steel, in no particular order. At the time of investment, the price of each stock was Rs.100. Venkat purchased only one stock of each of these companies. He was expecting returns of 20%, 10%, 30% and 40% from the stock of companies A, B, C and D, respectively.
Returns are defined as the change in the value of the stock after one year, expressed as a percentage of the initial value. During the year, two of these companies announced extraordinarily good results. One of these two companies belonged to the Cement or the IT industry, while the other one belonged to either the Steel or the Auto industry. As a result, the returns on the stocks of these two companies were higher than the initially expected returns. For the company belonging to the cement or the IT industry with extraordinarily good results, the results were twice that of the initially expected returns. For the company belonging to the Steel or the Auto industry, the returns on the announcement of extraordinarily good results were only one and a half times that of the initially expected returns. For the remaining two companies, which did not announce extraordinarily good results, the returns realized during the year were the same as initially expected.
Q1. If Company C belonged to the Cement or the IT industry and did announce extraordinarily good results, then which of these statement(s) would necessarily be true?
I. Venkat earned not more than 36.25% return on average.
II. Venkat earned not less than 33.75% return on average
III. If Venkat earned 33.75% return on average, Company A announced extraordinarily good results.
IV. If Venkat earned 33.75% return on average Company B belonged either to Auto or to Steel Industry.
(a) I and II only
(b) II and IV only
(c) II and III only
(d) III and IV only
(e) None of these
Q2. In Venkat earned a 38.75% return on average during the year, then which of these statement(s) would necessarily be true?
I. Company C belonged either to Auto or to Steel Industry.
II. Company D belonged either to Auto or to Steel Industry.
III. Company A announced extraordinarily good results.
IV. Company B did not announce extraordinarily good results.
(a) I and II only
(b) II and III only
(c) I and IV only
(d) II and IV only
(e) None of these
Q3. If Venkat earned a 35% return on average during the year, then which of these statements would necessarily be true?
I. Company A belonged either to Auto or to Steel Industry.
II. Company B did not announce extraordinarily good results.
III. Company A announced extraordinarily good results.
IV. Company D did not announce extraordinarily good results.
(a) I and II only
(b) II and III only
(c) III and IV only
(d) II and IV only
(e) None of these
Q4. What is the minimum average return Venkat would have earned during the year?
(a) 30%
(b) 125/4%
(c) 65/2%
(d) Cannot be determined
(e) None of these
Directions (Q5-10): Answer the questions based on the following information.
Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra and Earthquake Relief (ER) In Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.
I. A maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project
II. The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
III. 17 volunteers are involved in the TR project.
IV. The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.
V. Ten volunteers involved in the TR project are also involved in at least one more project.
Q5. How many Volunteers are working in ER project alone?
(a) 4
(b) 8
(c) 12
(d) 7
(e) None of these
Q6. How many volunteers are working in all three projects initially?
(a) 4
(b) 8
(c) 12
(d) 7
(e) None of these
Q7. After the withdrawal of volunteers, as indicated in Question 4, some new volunteers joined the NGO. Each one of the them was allotted only one project in manner such that, the number of volunteers working in one project alone for each of the three projects became identical. At that point, it was also found that the number of volunteers involved in FR and ER projects was the same as the number of volunteers involved in TR and ER projects. Which of the projects, now has the highest number of volunteers?
(a) ER
(b) FR
(c) TR
(d) Cannot be determined
(e) None of these
Q8. After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. As a result, one of the volunteers opted out of the TR project ,out of the ER project, while the remaining ones involved in all the three projects opted out of the FR project. Which of the following statements, then necessarily follows?
(a) The lowest number of volunteers in Now, in TR project
(b) More volunteers are, now in FR project as compared to ER project
(c) More volunteers are, now in TR project as compared to ER project
(d) None of these
(e) Can’t be determined
Q9.Which of the following additional information would enable to find the exact number of volunteers involved in various projects?
(a) Twenty volunteers are involved in FR
(b) Four volunteers are involved in all the three projects
(c) Twenty-three volunteers are involved in exactly one project
(d) No need for any additional information
(e) None of these
Q10.Based on the information given above, the minimum number of volunteers involved in both FR and TR projects, but not in the ER project is
(a) 1
(b) 3
(c) 4
(d) 5
(e) Can’t be determined
Solutions (5-10):
Directions (11-15): Answer the questions based of the following information.
Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2: 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5: 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 yr to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3: 2 and it was shared equally by Gopal and Ram as the initial amounts spent by them were equal.
Q11. What was the ratio of yield per acre of land for coconuts and lemons (in terms of number of lemons and coconuts)?
(a) 3: 2
(b)2: 3
(c) 1: 1
(d) Cannot be determined
(e) None of these
Q12. What was the value of output per tree for coconuts?
(a) Rs 36
(b) Rs 360
(c) Rs 3,600
(d) Rs 240
(e) None of these
Q13. What was the amount received by Gopal in 1997?
(a) Rs. 1.5 lakh
(b) Rs. 3 lakh
(c) Rs. 6 lakh
(d) None of these
(e) None of these
Q14. What was the value of output per acre of the lemon tree planted?
(a) 0.24 lakh/acre
(b) 2.4 lakh/acre
(c) 24 lakh/acres
(d) Cannot be determined
(e) None of these
Q15. What was the total output of coconuts?
(a) 24,000
(b) 36,000
(c) 18,000
(d) 48,000
(e) None of these
Solutions (11-15):
