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1.

A clock strikes once at 1 o'clock, twice at 2 o'clock and thrice at 3 o'clock, and so on. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock? (a) 20 seconds (b) 24 seconds (c) 28 seconds (d) 30 seconds

Answer»

Correct option (b) 24 seconds

Explanation:

At 5 o’clock the clock will strike 5 times. It’s given that it takes 12 seconds to do so. Now, at 10 o’clock the clock will strike 10 times. Hence, the time taken by it to strike = 12 × 2 = 24 seconds

2.

A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train? (a) 480 km (b) 260 km (c) 240 km (d) 120 km

Answer»

Correct option (c) 240 km

Explanation:

Speed of freight train = 40 km/hr and Speed of express train = 60 km/hr 

Hence, relative velocity = 60 – 40 = 20 km/hr 

Distance travelled by freight train in 2 hours = Speed of freight train × 2 = 40 × 2 = 80 km 

So, time taken by express train to catch freight train = Distance/Relative speed = 80/20 = 4 hr 

Distance from Delhi at this moment = Speed of express train × 4 = 60 × 4 = 240 km

3.

There are certain 2-digit numbers.The difference between the number and the one obtained on reversing it is always 27.How many such maximum 2-digit numbers are there? (a) 3 (b) 4 (c) 5 (d) None of the above

Answer»

Correct option (d) None of the above

Explanation:

Let the numbers be of the form xy and yx, i.e. 10x + y and 10y + x (where y > x)

As per the question, (10y + x) – (10x + y) = 27

Or 9y – 9x = 27

Or y – x = 3

Or y = x + 3

So, possible sets of the value of x and y are: (1, 4), (2, 5), (3, 6), (4, 7), (5, 8) and (6, 9), i.e. 6 such numbers are there. 

4.

An innovative India will be inclusive as well as technologically advanced, improving the lives of all Indians. Innovation and R&D can mitigate increases in social inequality and relieve the pressures created by rapid urbanization. The growing divergence in productivity between agriculture and knowledge-intensive manufacturing and services threatens to increase income inequality. By encouraging India's R&D labs and universities to focus on the needs of poor people and by improving the ability of informal firms to absorb knowledge, an innovation and research agenda can counter this effect. Inclusive innovation can lower the costs of goods and services and create income - earning opportunities for the poor people.Which among the following is the most logical and rational assumption that can be made from the above passage? (a) Innovation and R&D is the only way to reduce rural to urban migration. (b) Every rapidly growing country needs to minimize the divergence between productivity in agriculture and other sectors.(c) Inclusive innovation and R&D can help create an egalitarian society. (d) Rapid urbanization takes place only when a country's economic growth is rapid.

Answer»

Correct option (c) Inclusive innovation and R&D can help create an egalitarian society.

Explanation:

Options (a) and (d) can be ruled out due to their extreme wording, i.e. “only”. The passage is not definitive about these. 

Option (b) is not correct as as it is too generalistic as the context of the passage is limited to India and we have a better choice in form of option (c). 

Option (c) is the best choice as it reflects the broad idea presented in the passage. 

5.

What climate change will undeniably do is cause of amplify events that hasten the reduction of resources. Competition over these diminising resources would ensue in the form of political or even violent conflict. Resource based conflicts have rarely been overt and are thus difficult to isolate. Instead they take on veneers that appear more politically palatable. Conflicts over resources like water are often cloaked in the guise of identity or ideology.What does the above passage imply? (a) Resource-based conflicts are always politically motivated. (b) There are no political solutions to resolve environmental and resource based conflicts. (c) Environmental issues contribute to resource stresses and political conflict. (d) Political conflict based on identity or ideology cannot be resolved.

Answer»

Correct option (c) Environmental issues contribute to resource stresses and political conflict.

Explanation:

Option (c) is the only option supported by the passage. Rest all cannot be seen drom the passage.Further, this statement represents the key message of the passage. 

6.

"Rights are certain advantageous conditions of social well is i nr indispensable to the true development of the citizen." In the light of this statement, which one of the following is the correct understanding of rights? (a) Rights aim at individual good only. (b) Rights aim at social good only. (c) Rights aim at both individual and social good. (d) Rights aim at individual good devoid of social well-being.

Answer»

Correct option (c) Rights aim at both individual and social good

Explanation:

The statement links the social well being with individual development. 

7.

15 students failed in a class of 52. After removing the names of failed students, a merit order list has been prepared in which the position of Ramesh is 22nd from the top. What is his position from the bottom? (a) 18th (b) 17th (c) 16th (d) 15th 

Answer»

Correct option (c) 16th

Explanation:

15 students failed in a class of 52. 

Hence, number of students that passed = 52 – 15 = 37

In the list of passed students, position of Ramesh is 22nd from the top. 

So, his position from the bottom = (37 + 1) – 22 = 38 – 22 = 16th

8.

Examine the following statements: 1. All colours are pleasant. 2. Some colours are pleasant. 3. No colour is pleasant. 4. Some colours are not pleasant. Given that statement 4 is true, what can be definitely concluded? (a) 1 and 2 are true (b) 3 is true (c) 2 is false (d) 1 is false

Answer»

Correct option (d) 1 is false 

Explanation:

As per statement 4: Some colours are not pleasant. It implies that there is atleast one colour that is not pleasant. It obviously means that statement 1 that states that all colours are pleasant is definitely false. 

9.

In a democratic State, where a high degree of Political maturity of the people obtains, the conflict between the will of the sovereign law-making body and the organized will of the people seldom occurs.What does the above passage imply? (a) In a democracy, force is the main phenomenon in the actual exercise of sovereignty. (b) In a mature democracy, force to a great extent is the main phenomenon in the actual exercise of sovereignty. (c) In a mature democracy, use of force is irrelevant in the actual exercise of sovereignty.(d) In a mature democracy, force is narrowed down to a marginal phenomenon in the actual exercise of sovereignty.

Answer»

(d) In a mature democracy, force is narrowed down to a marginal phenomenon in the actual exercise of sovereignty.

10.

A successful democracy depends upon widespread interest and participation in politics, in which voting is an essential part. To deliberately refrain from taking such an interest, and from voting, is a kind of implied anarchy, it is to refuse one's political responsibility while enjoying the benefits of a free political society.This passage relates to (a) duty to vote (b) right to vote (c) freedom to vote (d) right to participate in politics

Answer»

Correct option (a) duty to vote

Explanation:

The passage talks about voting as duty and describes refraining from it as an act of anarchy and refusing one’s responsibility. Hence, the correct answer is the best choice.

11.

In a free country, the man who reaches the position of leader is usually one of outstanding, character and ability. Moreover, it is usually possible to foresee that he will reach such a position, since early in life one can see his qualities of character. But this is not always true in the case of a dictator; often he reaches his position of power through chance, very often through the unhappy state of his country.The passage seems to suggest that (a) a leader foresees his future position (b) a leader is chosen only by a free country (c) a leader must see that his country is free from despair (d) despair in a country sometimes leads to dictatorship 

Answer»

Correct option (d) despair in a country sometimes leads to dictatorship

Explanation:

Options (a), (b) and (c) cannot be deduced from the passage.Moreover,the defintive words like “only”,“must” etc. force a rethink over these options.

According to the passage,only option (d) seems correct, also seen from the lines “…very often through the unhappy state of his country”.

12.

The greatest blessing that technological progress has in store for mankind is not, of course, an accumulation of material possessions.The amount of these that can be effectively enjoyed by one individual in one lifetime is not great.But there is not the same narrow limit to the possibilities of the enjoyment of leisure.The gift of leisure may be abused by people who have had no experience of making use of it. Yet the creative use of leisure by a minority in societies has been the mainspring of all human progress beyond the primitive level.With reference to the above passage,the following assumptions have been made : 1. People always see the leisure time as a gift and use it for acquiring more material possessions. 2. Use of leisure by some people to produce new and original things has been the chief source of human progress. Which of these assumptions is/are valid? (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2

Answer»

Correct option (b) 2 only

Explanation:

Statement 1 is contradictory to the passage as seen from the last two lines of the passage 

Statement 2 is a valid assumption as seen from the passage, especilly the last line. 

13.

There is more than a modicum of truth in the assertion that "a working knowledge of ancient history is necessary to the intelligent interpretation of current events". But the sage who uttered these words of wisdom might well have added something on the benefits of studying particularly the famous battles of history for the lessons they contain for those of us who lead or aspire to leadership. Such a study will reveal certain qualities and attributes which enabled the winners to win—and certain deficiencies which caused the losers to lose and the student will see that the same pattern recurs consistently, again and again, throughout the centuries.With reference to the above passage, the following assumptions have been made: 1. A study of the famous battles it history would help us understand the modern warfare. 2. Studying the history is essential fin anyone who aspires to be a leader. Which of these assumptions is/are valid? (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2

Answer»

Correct option (d) Neither 1 nor 2   

Explanation:

Statement 1 is an invalid assumption because study of the famous battles of history is talked in context of learning leadership qualities and not understanding modern warfare. 

Statement 2 is also invalid as eben though passage suggests importance of studying history, it never assumes it to be essential for all leaders.

14.

There is a milk sample with 50% water in it.If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to (a) 25% (b) 30% (c) 35% (d) 40%

Answer»

Correct option (a) 25%

Explanation:

Percentage of milk in milk sample = 50%

It is added to equal amount of pure milk, i.e. in the ratio of 1:1 

Note: The information that 1/3rd of the milk sample is mixed is useless. 

Let 100 lt of milk sample is mixed with 100 lt of pure milk. Water in milk sample = 50 lt 

Percentage of water in the new mixture = [50/(100 + 100)] × 100 = (50/200) × 100 = 25%.

15.

Suppose the average weight of 9 persons is 50 kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg. Then the weight of the 5th person will be (a) 45 kg (b) 47.5 kg (c) 50 kg (d) 52.5 Kg

Answer»

Correct option (c) 50 kg

Explanation:

The average weight of 9 persons is 50 kg.So, total weight of all the persons = 50 × 9 = 450 kg 

The average weight of the first 5 persons is 45 kg.So, their total weight = 45 × 5 = 225 kg 

The average weight of the last 5 persons is 55 kg.So, their total weight = 55 × 5 = 275 kg 

The fifth person has been included in both the last cases. 

Hence, the weight of the fifth person = (275 + 225) – 450 = 50 kg

16.

P = (40% of A) + (65% of B) and Q = (50% of A) + (50% of B),where A is greater than B. In this context, which of the following statements is correct? (a) P is greater than Q. (b) Q is greater than P. (c) P is equal to Q. (d) None of the above can be concluded with certainty.

Answer»

Correct option (d) None of the above can be concluded with certainty.

Explanation:

According to the question, P = (40% of A) + (65% of B) and

Q = (50% of A) + (50% of B), where A > B

Now, P – Q = (40% of A) + (65% of B) - (50% of A) - (50% of B) = (15% of B) - (10% of A) 

We know that A > B, but not by how much. 

Hence, all three cases are possible, as illustrated below:

1. If B = 100 and A = 110, then P – Q = (15% of B) - (10% of A) = 15 – 11 = 4. So, P > Q 

2. If B = 100 and A = 150, then P – Q = (15% of B) - (10% of A) = 15 – 15 = 0. So, P = Q 

3. If B = 100 and A = 200, then P – Q = (15% of B) - (10% of A) = 15 – 20 = -5. So, P < Q Hence, nothing can be said about the relation between P and Q. 

17.

Six boys A, B, C, D, E and F play a game of cards. Each has a pack of 10 cards. F borrows 2 cards from A and gives away 5 to C who in turn gives 3 to B while B gives 6 to D who passes 1 to E. Then the number of cards possessed by D and E is equal to the number of cards possessed by (a) A, B and C (b) B, C and F (c) A, B and F (d) A, C and F

Answer»

Correct option (b) B, C and F     

Explanation:

At the start all the boys have equal number of cards, as shown below:

A10
B10
C10
D10
E10
F10

Now, F borrows 2 cards from A and gives away 5 to C who in turn gives 3 to B:

A8
B13
C12
D10
E10
F 7

B gives 6 to D who passes on 1 to E. 

A8
B7
C12
D15
E11
F7

 Number of cards with D and E = 15 + 11 = 26

We can see that number of cards with B, C and F = 7 + 12 + 7 = 26 

18.

In a group of six women, there are four tennis players,four postgraduates in Sociology,one postgraduate in Commerce and three bank employees. Vimala and Kamla are the bank employees while Amala and Komala are unemployed. Komala and Nirmala are among the tennis players.Amala,Kamla,Komala and Nirmala are postgraduates in Sociology of whom two are bank employees. If Shyamala is a postgraduate in Commerce, who among the following is both a tennis player and a bank employee? (a) Amala (b) Komala (c) Nirmala (d) Shyamala

Answer»

Let’s list down the information given in the question in tabular format.

NameTennis PlayerPostgraduate inBank Employee
VimlaYes
KamlaSociologySociologyYes
AmalaSociologySociologyNo (Unemployed)
KomalaYesSociologyNo (Unemployed)
NirmalaYesSociology
ShyamalaCommerce

Now,there were 4 post graduates in sociology and one in commerce. All have been accounted for. Hence,Vimla is not a post graduate either in sociology or commerce. 

Among Kamla, Amala, Komala and Nirmala there are 2 bank employees. We already know that Kamla is a bank employee and Amala and Komala are not. Hence, Nirmala must be a bank employee too. Hence, all the three bank employees are accounted for too. 

However, there are still two tennis players unaccounted for. The updated information can again be shown in the form of a table:

NameTennis PlayerPostgraduate inBank Employee
Vimla-Yes
KamlaSociologyYes
AmalaSociologyNo (Unemployed)
KomalaYesSociologyNo (Unemployed)
NirmalaYesSociologyYes
ShyamalaCommerceNo

Nirmala is both a tennis player and a bank employee. 

19.

"The individual, according to Rousseau, puts his person and all his power in common under the supreme direction of the General Will and in our corporate capacity we receive each member as an indivisible part of the whole."In the light of the above passage, the nature of General Will is best described as (a) the sum total of the private wills of the individuals (b) what is articulated by the elected representatives of the individuals (c) the collective good as distinct from private wills of the individuals (d) the material interests of the community

Answer»

(a) the sum total of the private wills of the individuals 

20.

We have hard work ahead. There is no resting for any of us till we redeem our pledge in full fill we make all the people of India what destiny intends them to be. We are citizens of a great country, on the verge of bold advance, and we have to live up to that high standard. All of us, to whatever religion we may belong, are equally the children of India with, equal rights, privileges and obligations. We cannot encourage communalism or narrow mindedness, for no nation can be great whose people are narrow in thought or action.The challenge the author of the above passage throws to the public is to achieve (a) a high standard of living, progress and privileges (b) equal privileges, fulfilment of destiny and political tolerance (c) spirit of adventure and economic parity (d) hard work, brotherhood out national unity

Answer»

(b) equal privileges, fulfilment of destiny and political tolerance