1 At the college entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 25 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about
2 Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour ?
3 A boy goes to see a film and finds a man who is his relative. The man is the husband of the sister of his mother. How is the man related to the boy?UncleBrotherNephewNone of the above
4 The ratio between the number of passengers travelling by I & II Class between two railway stations is 1 : 50, whereas the ratio of the I & II Class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, what was the amount collected from the II Class passengers ?
Rs. 1250Rs. 1100Rs. 1000Rs. 1150
5 When Rajeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rajeev’s brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeev’s sister when Rajeev was born?15 years7 years17 years10 years
6 Answer the Questions on the basis of the information given below :
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.
â€¢ 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.
â€¢ The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
â€¢ 17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.
â€¢ Ten volunteers involved in the TR project are also involved in at least one more project.
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:1453
7 Which of the following additional information would enable to find the exact number of volunteers involved in various projects?
Twenty three volunteers are involved in exactly one project.
Four volunteers are involved in all the three projects.
Twenty volunteers are involved in FR. c
No need for any additional information.
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, and one opted 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?
None of the above.More volunteers are now in TR project as compared to ER project.The lowest number of volunteers is now in TR project.More volunteers are now in FR project as compared to ER project.
8 After the withdrawal of volunteers, as indicated in previous question, some new volunteers joined the NGO. Each one of them was allotted only one project in a 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?
FRTRERCannot be determined
9 Answer the Questions on the basis of the information given below :
The year is 2089. Beijing, London, New York, and Paris are in contention to host the 2096 Olympics. The eventual winner is determined through several rounds of voting by members of the IOC with each member representing a different city. All the four cities in contention are also represented in IOC.
In any round of voting; the city receiving the lowest number of votes in that round gets eliminated. The survivor after the last round of voting gets to host the event.
A member is allowed to cast votes for at most two different cities in all rounds of voting combined. (Hence, a member becomes ineligible to cast a vote in a given round if both the cities (s)he voted for in earlier rounds are out of contention in that round of voting.)
A member is also ineligible to cast a vote in a round if the city (s )he represents is in contention in that round of voting.
As long as the member is eligible, (s)he must vote and vote for only one candidate city in any round of voting.
The following incomplete table shows the information on cities that received the maximum and minimum votes in different rounds, the number of votes cast in their favour, and the total votes that were cast in those rounds.PhotoIt is also known that :
All those who voted for London and Paris in round 1, continued to vote for the same cities in subsequent rounds as long as these cities were in contention. 75% of those who voted for Beijing in round 1, voted for Beijing in round 2 as well.
Those who voted for New York in round 1, voted either for Beijing or Paris in round 2.
The difference in votes cast for the two contending cities in the last round was 1.
50% of those who voted for Beijing in round 1, voted for Paris in round 3.
Q. What percentage of members from among those who voted for New York in round 1, voted for Beijing in round 2?
10 What is the number of votes cast for Paris in round I?
11 What percentage of members from among those who voted for Beijing in round 2 and were eligible to vote in round 3, voted for London?
Possible Answers 33.335038.10 66.67
12 Which of the following statements must be true?
(a) IOC member from New York must have voted for Paris in round 2.
(b) IOC member from Beijing voted for London in round 3. Only b Both a and b Only a Neither a nor b
13 Answer Questions 1 to 5 on the basis of the information given below:
K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions:
A team must include exactly one among P, R, and S.
A team must include either M or Q, but not both.
If a team includes K, then it must also include L, and vice versa.
If a team includes one among S, U, and W, then it must also include the other two.
L and N cannot be members of the same team.
L and U cannot be members of the same team.
The size of a team is defined as the number of members in the team.
1. What could be the size of a team that includes K?Only 23 or 42 or 3Only 4
14 In how many ways a team can be constituted so that the team includes N?5642
15 What would be the size of the largest possible team?cannot be determined675
16 Who can be a member of a team of size 5?RLPM
17 Who cannot be a member of a team of size 3?PLMN
18 Directions for Questions 6 to 10: Each question has a set of four sequentially ordered statements. Each statement can be classified as one of the following:
1. Facts, which deal with pieces of information that one has heard, seen or read, and which are open to discovery or verification (the answer option indicates such a statement with an â€˜Fâ€™).
2. Inferences, which are conclusions drawn about the unknown, on the basis of the known (the answer option indicates such a statement with an â€˜Iâ€™).
3. Judgments, which are opinions that imply approval or disapproval of persons, objects, situations and occurrences in the past, the present or the future (the answer option indicates such a statement with a â€˜Jâ€™).
Select the answer option that best describes the set of four statements.
6. 1. So much of our day-to-day focus seems to be on getting things done, trudging our way through the tasks of livingâ€”it can feel like a treadmill that gets you nowhere; where is the childlike joy?
2. We are not doing the things that make us happy; that which brings us joy; the things that we cannot wait to do because we enjoy them so much.
3. This is the stuff that joyful living is made ofâ€” identifying your calling and committing yourself wholeheartedly to it.
4. When this happens, each moment becomes a celebration of you; there is a rush of energy that comes with feeling completely immersed in doing what you love most.
19 1. Given the poor quality of service in the public sector, the HIV/AIDS affected should be switching to private initiatives that supply anti-retroviral drugs (ARVs) at a low cost.?
2. The government has been supplying free drugs since 2004, and 35000 have benefited up to nowâ€”though the size of the affected population is 150 times this number.
3. The recent initiatives of networks and companies like AIDSCare Network, Emcure, Reliance- Cipla-CII, would lead to availability of much needed drugs to a larger number of affected people.
4. But how ironic it is that we should face a perennial shortage of drugs when India is one of the worldâ€™s largest supplies of generic drugs to the developing world.JFIJIFIJJFIIIFFJ
20 1. According to all statistical indications, the Sarva Shiksha Abhiyan has managed to keep pace with its ambitious goals.
2. The Mid-day Mean Scheme has been a significant incentive for the poor to send their little ones to school, thus establishing the vital link between healthy bodies and healthy minds.
3. Only about 13 million children in the age group of 6 to 14 years are out of school.
4. The goal of universalization of elementary education has to be a pre-requisite for the evolution and development of our country.IJFJJIFIIJFIIIFJ
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