Explore topic-wise InterviewSolutions in Current Affairs.

Correct option is A) I was just about to go

Correct option is A) stopped

Correct option is A) Where

Correct option is C) been

Correct option is A) going

Correct option is B) Once.

Correct option is D) This was largely because we did not like the people who went to them.

Correct option is A) Jane said Canterbury was north of London

Correct option is D) as

1. Arrange the data in the ascending order we have;

10, 11, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18

Here n = 12. So median is the average of 6^th and 7^th observations.

Therefore; Median, M = \(\frac{13+14}{2} = 13.5\)

Mean deviation = \(\frac{\sum^n_{i=1}|x_i-M|}{n} = \frac{28}{12} = 2.33\)

2. Arrange the data in the ascending order we have; 36, 42, 45, 46, 46, 49, 51, 53, 60, 72

Here n = 10. So median is the average of 5^th and 6^th observations.

Therefore; Median, M = \(\frac{46+49}{2} = 47.5\)

Mean deviation =  \(\frac{\sum^n_{i=1}|x_i-M|}{n} = \frac{70}{10} =7.\)

1. 

\(\bar{x}\) = \(\frac{\displaystyle \sum_{i = 1}^n x_i}{n}\) = \(\frac{80}{8}\) = 10

M.D (\(\bar x\)) = \(\frac{\displaystyle \sum_{i = 1}^n |x_i-\bar x|}{n}\) = \(\frac{24}{8} = 3\)

2.

\(\bar x\) = \(\frac{\displaystyle \sum_{i = 1}^n x_i}{n}\) = \(\frac{500}{10} = 50 \)

M.D (\(\bar x\)) = \(\frac{\displaystyle \sum_{i = 1}^n |x_i-\bar x|}{n}\) = \(\frac{84}{10} = 8.4\)

The given compound statement is of the form “if p then q”.

We assume that p is true then

a, b ∈ R such that a² = b²Let us take a = -3 and b = 3

Now a² = b² but a ≠ b

So when p is true, q is false.

Thus the given compound statement is not true.

1. Here p: x is a prime number. 

q: x is odd. 

Now, ~ p: x is not a prime number. 

~ q: x is not odd. 

The contrapositive statement is: 

If x is not odd x is not a prime number. 

The converse statement is: 

If x is an odd, then x is a prime number. 

2. Here p: Two lines are parallel. 

q: They do not intersect in the same plane. 

Now, ~ p: Two lines are not parallel. 

~ q: They intersect in the same plane. 

The contrapositive statement is: 

If two intersect in the same plane then they are not parallel.

The converse statement is: 

If the two lines do not intersect in the same plane, then they are parallel.

3. Here p: Something is cold. 

q: It has low temperature. 

Now, ~ p: Something is not cold. 

~ q: It does not have low temperature. 

The contrapositive statement is: 

If something does not have low temperature then it is not cold. 

The converse statement is: 

If something has low temperature then it is cold. 

4. Here p: You cannot comprehend geometry. 

q: You do not know how to reason deductively. 

Now, ~ p: You can comprehend geometry. 

~ q: You know how to reason deductively.

The contrapositive statement is: 

If you know how to reason deductively, 

then you can comprehend geometry. 

The converse statement is: 

If you do not know how to reason deductively then you cannot comprehend geometry. 

5. Here p: x is an even number. 

q: x is divisible by 4. 

Now, ~ p: x is not an even number. 

~ q: x is not divisible by 4. 

The contrapositive statement is: 

If x is not divisible by 4 then x is not an even number. 

The converse statement is: 

If x is divisible by 4 then x is an even number.

1. Firm: A

Number of wages earners (n₁) = 586

Number of wages earners (\(\bar x_1\)) = 5253

Total monthly wages = 5253 × 586 = 3078258

Firm: B

Number of wages earners (n₁) = 648

Number of wages earners (\(\bar x\)) = 5253

Total monthly wages = 5253 × 648 = 3403944

2. Since both the firms have same mean of monthly wages, so the firm with greater variance will have more variability in individual wages. Thus firm B will have more variability in individual wages.

The given compound statement is of the from “if p then q”.

P: x ∈ R such that x³ + 4x = 0

q: x = 0

1. Direct method:

We assume that p is true then

x ∈ R such that x³ + 4x = 0

x ∈ R such that x(x² + 4) = 0

x ∈ R such that x = 0 or x² + 4 = 0

⇒ x = 0

⇒ q is true.

So when p is true, q is true.

Thus the given compound statement is true.

2. Method of contradiction:

We assume that p is true and q is false, then x ≠ 0

x ∈ R such that x³ + 4x = 0

x ∈ R such that x(x² + 4) = 0

x ∈ R such that x = 0 or x² + 4 = 0

⇒ x = 0

Which is a contradiction. So our assumption that x ≠ 0 is false. Thus the given compound statement is true.

3. Method of contrapositive.

We assume that q is false, then x ≠ 0

⇒ x ∈ R such that x³ + 4x ≠ 0

⇒ q is false

So when q is false, p is false.

Thus the given compound statement is true

1. a = 5; d = 2 – 5 = -3

t_n = a + (n – 1)d = 5 + (n – 1)(-3)

= 5 – 3n + 3 = -3n + 8

2. a = 12; d = 7 – 12 = -5

t_n = a + (n – 1)d = 12 + (n – 1)(-5)

= 12 – 5n + 5 = -5n + 17.

Common difference = a_n+1 – a_n

= (n + 1)² – 1 -(n² – 1)

= n² + 2n + 1 – 1 – n² + 1

= 2n + 1.

Common difference is not independent of n so not an AP.

Given; a₁ = 3, a_n = 96 ⇒ ar^n-1 = 96

⇒ 3 × r^n-1 = 96 ⇒ r^n-1 = 32 = 2⁵

⇒ r^n-1 = 2⁵

Then, r = 2; n = 6.

(3) both (S₁) and (S₂) are not correct. 

Let TV(r) denotes truth value of a statement r. 

Now, if TV(p) = TV(q) = T 

TV(S₁) = F 

Also, if TV(p) = T & TV(q) = F 

TV(S₂) = T

(i) (b) a_n = 2 + 5n.

(ii) t₁₂ + t₂₂ = 100 

⇒ a + 11d + a + 21d = 100

⇒ 2a + 32d = 100

S₃₃ = \(\frac{33}{2} (2a + 32d) = \frac{33}{2} \times 100 = 1650\)

Dear friends,

It gives me great pleasure to speak to you about the Library Week that our college has organized from 2nd to 10th of November this year. Reading makes a man perfect. The aim of celebrating this week is to inculcate the reading habit among students. As part of the celebration, new arrivals in the reference section such as encyclopaedia and dictionaries and general books will be displayed. Orient Blackswan and Cambridge University Press are putting up an exhibition. We have invited Dr. Shobha Devi to inaugurate the exhibition and interact with students. Other authors like Smt. Shashi Deshpande and Dr. Paul will also pay us a visit. During the week, a literary quiz competition will be organized. The Reading Section will have more new magazines of general interest. I request all of you to spend as much free time in the library as you can. Thank you.

Newspapers subjects is included in the Concurrent List of the Constitution.

Forests  is included in the Concurrent List.

a. Direct tax – Personal income tax, 

b. corporate tax 

c. Indirect tax – Excise duty, 

d. Value added tax

The tax imposed on the income of individuals is called income tax. Tax rate increases with income. Tax is imposed on income beyond a certain limit. It is the tax imposed on the net income or profit of a company.

Lai Bahadur Shastri Academy of Administration is situated at Mussoorie.

(a) A business tax

1. Tax imposed on the income of the individuals 

2. Tax imposed on the net income or profit of a company.

(a) Cuban Missile Crises

(c) Non-interference· of Government in economic affairs 

(c) Sabka Saath, Sabka Vikas 

(b) the Government does not interfere in the free functioning of demand and supply forces in the market

(c) Muslim League wanted that the task of integration should be entrusted to Sardar Vallabbhai Patel..

(c) Hyderabad, Junagarh, Kashmir

Posco plant was set up in  Andhra Pradesh 

Khan Abdul Ghaffar Khan is known by the name of ‘Forntier Gandhi’.

The correct answer is ​Lal Kurti.

• Khan Abdul Ghaffar Khan started the 'Lal Kurti' movement in the 1920s.

• This was a movement started against the British.
• Volunteers were recruited under this movement, who propagated the Gandhian 'Satyagraha'.
• These volunteers were named ‘Khudai Khidmatgar’.
• On April 23, 1930, Chandra Singh Garhwali of Garhwal Rifles, who defied the order to shoot at a non-violent gathering of Khidmatgars during the Salt Satyagraha, was court-martialed by the British Army and given a harsh punishment.

The correct answer is Gwalior

• Khan Abdul Gaffar Khan was a Pashtun independence activist who worked to end the rule of the British Raj in India.
• He was a political and spiritual leader known for his nonviolent opposition; he was a lifelong pacifist and devout Muslim.
• He was a close friend of M.K. Gandhi, Bacha Khan was nicknamed the "Frontier Gandhi".
• He was in alliance with Mahatma Gandhi and the Indian National Congress and this alliance lasted till India’s independence. Hence statement A is Incorrect.
• His goal was the formation of a united, independent, secular India.
• To achieve this end, he founded the Khudai Khidmatgar ("Servants of God"), commonly known as the "Red Shirts" (Surkh Posh), during the 1920s. 
• The Khudai Khidmatgar was founded on a belief in the power of Gandhi's notion of Satyagraha, a form of active non-violence as captured in an oath. Hence statement B is Correct.
• He strongly opposed the proposal for the partition of India, siding with the Indian National Congress.
• When the Indian National Congress declared its acceptance of the partition plan without consulting the Khudai Khidmatgar leaders, he felt deeply betrayed and hurt by this, telling the Congress, "you have thrown us to the wolves".
• In June 1947, Khan and other Khudai Khidmatgars declared the Bannu resolution, demanding that the Pashtuns be given a choice to have an independent state of Pashtunistan, composing all Pashtun territories of British India, instead of being made to join Pakistan.
• However, the British Raj refused to comply with the demand of this resolution. Hence statement C is Correct.

Ajmer, April 2, 20–.
With the development of technology, the use of audio-visual aids like the radio, T.V., films, audio and video cassettes has increased in teaching with a positive effect. The usefulness of these aids in the learning of English speaking skill cannot be denied. Their use makes learning through eyes and ears easier, better and faster. They help in arousing the interest of the learner and stimulate him to participate in the learning process. In the case of English speaking skills, these aids help the student learn the pronunciation of English sounds and words correctly and communicate in English in a real-life situation.

It is a well-known fact that the plantation farming method is completely labour intensive. It is because it aims to increase the sales in this highly competitive market. Hence, it requires a huge labour force.

(c) Each of Andhra Pradesh and Karnataka

The width or the broad gauge track in Indian railway is 1.676 m.

Hindustan Aeronautics Limited (HAL) is in Bengaluru.

Problems of Indian cities can be classified into the following ways:

1. Urban Poverty: Urban poverty is the by-product of industrialization and urbanization. Poverty and overcrowding are the two most visible features of Indian cities. About half of the urbanites are poor and lives in a substandard of life, because of cost of living, lack of regular income, low wages, pro-rich economic policies, and inflation, etc.

India has issued its first-ever report on the nature and dynamics of urban poverty in the country undertaken with the support of the United Nations Development Programme (UNDP), India: Urban Poverty Report 2009 which, identifies the problems faced by the poor and focuses on the systematic changes that are needed to address them.

The report examines various issues related to urban poverty, such as migration, labour, the role of gender, access to basic services and the appalling condition of India’s slums. It also looks at the dynamics of urban land and capital market, urban governance, and the marginalisation of the poor to the urban periphery.

2. Slums: The magnitude of the problem of slums is alarming. The Government of India, Inorder to implementation of various schemes to urban development, has defined a slum area as follows: “A slum area means any area where such dwellings predominate of dilapidation, overcrowding, faulty arrangement of buildings, narrowness and faulty arrangement of street, lack of ventilation, lack of sanitation facilities, inadequacy of open spaces and community facilities or any combination of these factors, are detrimental to safety, health or morale.”

These ‘slum areas are also referred to as the ‘Blighted area’; ‘Renewal area’; ‘deteriorated area’, ‘Gray OH area’; ‘Lower class neighbourhood’; ‘Lower income area’, etc.

3. Problem of Urban Housing: The bulk of the people in the Indian cities live in one-room or in thatched huts in the sprawling slums dr on the pavements. Another sad feature is total lack of essential municipal services like water supply, drainage, sewage, lighting, roads, etc.

Further, large proportion of the rural migrants have been bringing with them unskilled persons who take up unskilled jobs in the services, trade, industries, etc. Further, the room has generally to meet all the requirements of the family including cooking, living, sleeping, confinement, it is difficult to keep it reasonably clean and sanitary washing and bathing facilities.

The inconvenience they have to undergo is aggravated during the rainy days. Almost all the above-mentioned conditions are found in chawals of Bombay, that as of Kanpur, Bastis of Calcutta, Cheris Of Madras as well as in Dhowrahas of the mining centres and barracks of the plantations in India.

These are made of brick walls and iron roof or the huts consisting of bamboo walls and thatched roofs. The lanes are too narrow and the huts rebuilt back to back. These lack the facilities like bathing, washing, and toilets, etc.

4. Sanitation and Pollution: It is accompanied with corrupt municipal administration and inefficiency. According to UNICEF, lakhs of urban children in India die or suffer front diarrhea, diphtheria, tetanus, and measles, etc., 

5. Transportation and Traffic: Transportation and traffic picture in Indian cities is troublesome. The majority of people use buses and other vehicles, while a few use rails as a transport system. The increasing number of twowheelers and other types of vehicles make the traffic problem worse.

The Damodar-Tribeni Canal which serves as an irrigationcum-navigation canal is 137km long.