Explore topic-wise InterviewSolutions in Current Affairs.

5. After about half-an-hour, we left the diningroom. 

3. We began walking back along the platform. 

1. An engine was shunting up and down beside platform No.8. 

2. As it approached, a boy leapt off the platform. 

4. He ran across the rails, taking a short cut to the next platform

Correct answer is (a) vendors

Melting of polar ice caps will increase the radius of gyration and hence, M.I. also increase. In order by conserve angular momentum, the angular velocity ω shall decrease.

So, the length of the day (T = \(\frac{2π}{τ}\)) shall increase.

Correct Answer is: (A) Saccharomyces 

Brewery or a brewing company is concerned with production and selling of beer.

Brewing has nine different steps. They are given as follows according to the sequence:

• milling 

• malting 

• mashing 

• lautering. 

• boiling 

• fermenting 

• filtering 

• filling

Yeast is employed for this process in which it uses the sugars present in the substrate and carries out the process of fermentation liberating alcohol and carbon-dioxide (by- product).

√a:√b=2/3 

a:b=4/9 

a³:b³ = 64/729

(a) The virus of Hepatitis A spread through contaminated water and there are many children below the age of 5 who get infected to this disease through the polluted water. The infection of this disease is mild during early stages of life i.e. childhood and by the time they reach adulthood their bodies develop large number of antibodies for this disease as a result majority of children in many parts of India are already immune to Hepatitis A. This is an example of active immunity. 

(b) Acute diseases are the ones which are severe, have a sudden onset but last for a short period of time, example, a broken bone. While chronic diseases are the ones which are long lasting and kill the person from inside, example, osteoporosis. Osteoporosis is definitely more harmful than a broken bone. This is why, it is said that chronic diseases cause more harm to the body than acute diseases. 

(c) The diseases which can be transmitted from one individual to another are known as infectious diseases or communicable diseases. These diseases can be of different type depending upon the infecting microorganism like bacteria, fungi or virus. Example of infectious diseases are cholera, common cold, typhoid, HIV/AIDS, malaria, tuberculosis, etc.

In our body, the immune system fight and kill the disease causing organisms that enter into our body and defend us from diseases.

It is the function of the immune system to prevent the immune system from different diseases. Thus, it is the role of the healthy immune system to ward of disease.

The functioning of the immune system in our body will not be good if proper and sufficient nourishment and food are not available.

In HW infection, the virus goes to the immune system and damages its function.

(a) 1 : 2

\(\frac{a}{b+c}=\frac13\) ⇒ a = \(\frac{b+c}{3}\)          .......(i) 

\(\frac{c}{a+b}=\frac57\) ⇒ \(\frac{c}{\frac{b+c}{3}+b} = \frac57\)

⇒ \(\frac{3c}{b+c+3b}=\frac57\) ⇒ \(\frac{3c}{4b+c}=\frac57\)

⇒ 21c = 20b + 5c ⇒ 16c = 20b ⇒ b = \(\frac{4c}{5}\)

Putting b = \(\frac{4c}{5}\)  in (i) we get

\(\frac{a}{\frac{4c}{5}+c} = \frac13\) ⇒ \(\frac{5a}{9c} = \frac13\) ⇒ a = \(\frac{3c}{5}\)

\(\frac{b}{a+c}\) = \(\frac{\frac{4c}{5}}{\frac{3c}{5}+c}\) = \(\frac{4c}{8c} = \frac12\) = 1 : 2

(d) 1 : 2

Given, \(\frac{a}{b}\) = \(\frac{c}{d}\) = \(\frac{e}{f}\)= \(\frac12\)

So, let a = c = e = x and b = d = f = 2x

∴ \(\frac{(pa+qc+re)}{(pb+qd+rf)}\) = \(\frac{p\times{x}+q\times{x}+r\times{x}}{p\times2x+q\times2x+r\times2x}\) = \(\frac{x(p+q+r)}{2x(p+q+r)} =\frac12\)

(a) the value of a scalar

(c) a vector

(d) the magnitude of a vector.

Explanation:

The value of a scalar, a vector and the magnitude of a vector do not depend on a given set of coordinate axes with different orientation. However, components of a vector depend on the orientation of the axes.

Yes we can add three unit vectors to get a unit vector.

No, the answer does not change if two unit vectors are along the coordinate axes.

An example of this is   i, i, -i even If any two unit vectors are along the axes the third vector can so be aligned so that they give a vector of unit magnitude. I will give you an example: i, j, –i

d) Mohammad Ghori

(a) is equal to the sum of the x-components of the vectors
(b) may be smaller than the sum of the magnitudes the vectors

(d) may be equal to the sum of the magnitudes of the vectors.

Explanation:

The x-component of the resultant of several vectors cannot be greater than the sum of the magnitudes of the vectors.

The correct answer is (c) α < β if A > B 

(c) C must be greater than | A - B|
 

Qutub – Ud – Din was the first sultan of Delhi. 

• He strengthened the Turkish rule in India by defeating his enemies. 
• To mark his victory he started constructing Qutub Minar at Mehrauli near Delhi.

1. Sultan Mahmud

2. Sultanate

Magnitudes a=√(2²+3²+4²) =√29, b=√(3²+4²+5²) =√50  

Dot product of these vectors a.b =(2i+3j+4k).(3i+4j+5k) =2.3+3.4+4.5 =6+12+20 =38  

But the value of dot product is also given by abCosθ  

So, abCosθ=38  

Cosθ=38/ab=38/(√29.√50) =38/√1450  

θ=Cos-1(38/√1450)  

 Angle between the vectors θ= 60°-30° =30°. 

Hence magnitude of the resultant = √(A²+B²+2ABcosθ) 

= √(10²+10²+2.10.10.cos30°) 

=√(200+200.√3/2) =10√(2+√3) 

= 19.32 units 

Since the vectors have equal magnitudes so the resultant bisects the angle θ between them. The angle between resultant and vector 

A =30°/2 =15°. So angle between resultant and X-axis =15°+30° =45°.

The position of a point in scatter plot is 2D value.

(d) auto pet

Let i, j and k be the unit vectors along A, B and C.  

Now Cx(AxB)= Ck x (ABsin90°)k =(ABC) k x k =0 (Since k x k =0)   

 Let us see the converse, given (AxB)xC=0, if θ be the angle between A and B and k unit vector perpendicular to both A an B   

=> ABsinθ k x C = 0  

=> ABsinθ.1.Csinß.u =0 (ß is the angle between k and C and u the unit vector along the perpendicular to both k and C) 

=> This condition gives either θ =0 or ß=0. So they are not mutually perpendicular and the converse is not true.

The metre scale is graduated at every millimetre.

i.e., 1 m = 1000 mm

The minimum number of significant digits may be one (e.g., for measurements like 4 mm and 6 mm) and the maximum number of significant digits may be 4 (e.g., for measurements like 1000 mm). Hence, the number of significant digits may be 1, 2, 3 or 4.

1. The President appoints the Prime Minister. But the President cannot appoint anyone she likes. 

2. The President appoints the leader of the majority party or the coalition of parties that commands a majority in the Lok Sabha, as Prime Minister. In case no single party or alliance gets a majority, the President appoints the person most likely to secure a majority support. The Prime Minister does not have a fixed tenure. He continues in power so long as he remains the leader of the majority party or coalition .

Prime Minister has wide ranging powers. 

1. He chairs Cabinet meetings. He coordinates the work of different Departments. 

2. His decisions are final in case of any dispute arises between Departments. 

3. He exercises general supervision of different ministries. All ministers work under his leadership. 

4. The Prime Minister distributes and redistributes work to the ministers. He also has he power to dismiss ministers. When the Prime Minister quits, the entire ministry quits. 

5. The Prime Minister controls the Cabinet and Parliament through the party. 

In a democracy the will of the people is supreme. The minister is elected by the people and thus empowered to exercise the will of the people on their behalf. She is finally answerable to the people for all the consequences of her decision. That is why the minister takes all the final decisions. 

While it may look quite appealing in a movie; the real life is strikingly different. Governance in a democracy is all about taking everyone along with you. Moreover, in a large and diverse country like India, it is not possible to take decision on the whims of an individual. Implementation of a decision needs to coordination among various organs of the government and a minister is just a part of that system.

(64% + 20%) +…………… = 100% 

∴ ?=100% – 84% = 16%

Percentage of people who voted = 60% of 12,000 

∴ Number of people voted = \(\frac {60\times12000}{100}\) 

= 7200

The correct answer is 54kg and 30kg

The ratio of length to breadth of school ground = 150 m : 90 m = 150/90 = 5/3 = 5:3

The ratio of length to breadth of mela ground = 210 m : 126 m = 210/126 = 5/3 = 5:3

Hence, both ratios are equal.

∴ The given measurements are in proportion.

Armed robbers roamed the countryside, pillaging farms and fields, and people felt unsafe and insecure in their own homes

In ancient Britain, at a time when the land was invaded by wild Barbarians, the good and noble Lord Uther fought them bravely and drove them away from his land. The people made him King of Britain and gave him the title, Pendragon, meaning ‘dragon’s head’.

Lord Uther drove the Barbarians away.

Merlin announced that Arthur was the son of Lord Uther.

Many knights tried to pull the sword out of the stone.

rose: The rest of the words are nouns.

a. belief 

b. height

Sir Kay left his sword behind at home.Arthur brought the sword from the churchyard.

Every society needs a good leader to run the administration effectively. It is the responsibility of a good leader to work towards the progress and prosperity of the society. It is rightly said: ‘A society cannot rise above its leaders’.

Loud, common

You have done a splendid job of bringing up the heir to the British throne.

Who will be crowned king?

I – Subject 

shall await your return – Predicate

Answer is (C) 1849

Sir Ector did a splendid job of bringing up Arthur. But on realizing that he was the son of the good Lord Uther Pendragon he bowed down to authority with the devotion as Arthur was the King of Britain. This shows that he respected the king of the land though he had brought him up as his own son.