Explore topic-wise InterviewSolutions in Current Affairs.

False

⇒ (-2)⁰ = 1

False

⇒ (-8/2)⁰ = 1

National Electronic Funds Transfer (NEFT) was launched by the RBI in 2005.

Correct option is (A) \(\frac{16}{225}\)

\((\frac{-3}{2})^{-4}\times(\frac{-3}{5})^2\) \(=\left[(\frac{-3}{2})^{-1}\right]^4\times(\frac{-3}{5})^2\)

\(=(\frac{-2}{3})^{4}\times(\frac{-3}{5})^2\)

\(=\frac{(-2)^4}{3^4}\times\frac{(-3)^2}{5^2}\)

\(=\frac{16}{81}\times\frac9{25}\)

\(=\frac{16}{9\times25}=\frac{16}{225}\)

Correct option is   A) \(\frac{250}{9}\)

Correct option is (B) 3

We have a = 1, b = 2

Then \(a^b+b^a=1^2+2^1\) = 1+2 = 3

Correct option is  B) 3

• if a=1 and b=2
• so;
• 1^2+ 2^1=
• 2+1=3

Correct option is (D) 1

\(2^{x+3}=4^{x+1}\)

Then \(2^{x+3}=(2^2)^{x+1}\)

\(\Rightarrow\) \(2^{x+3}=2^{2x+2}\)

\(\Rightarrow\) x+3 = 2x+2

\(\Rightarrow\) 2x - x = 3 - 2

\(\Rightarrow\) x = 1

Correct option is  D) 1

Correct option is (D) 0.02436

\(24.36\times10^{-3}=\frac{24.36}{10^3}=\frac{24.36}{1000}\) = 0.02436

Correct option is  D) 0.02436

Number of blades for one fan = 3 = 1 × 3 

Number of blades for two fans = 3 + 3 = 2 × 3 

Number of blades for three fans = 3 + 3 + 3 = 3 × 3 

Number of blades for four fans = 3 + 3+ 3 + 3 = 4 × 3 ……………………………………… 

Number of blades for n fans = 3 + 3 + …. (n times) = 3 × n 

Rule of number of blades required for n fans = 3.n

Cost of one pen = Rs. 7 = 1 × 7 

Cost of two pens = Rs. 7 + Rs. 7 = 2 × 7 

Cost of three pens = Rs. 7 + Rs. 7 + Rs. 7 = 3 × 7 

…………………………………….. 

Cost of n pens = Rs. 7 + Rs. 7 + Rs. 7 ….. 

n times = 7 × n 

Rule for cost n pens = 7.n.

(i) \(\frac{441}{961}\)

\(\frac{\sqrt{441}}{\sqrt{961}}\)= \(\frac{21}{31}\)

(ii) \(\frac{324}{841}\)

\(\frac{\sqrt{324}}{\sqrt{841}}\) = \(\frac{18}{29}\)

(iii) \(\frac{225}{49}\)

\(\frac{\sqrt{225}}{\sqrt{49}}\) = \(\frac{15}{7}\)

(iv) \(\frac{64}{25}\)

\(\frac{\sqrt{64}}{\sqrt{25}}\) = \(\frac{8}{5}\)

(v) \(\frac{529}{196}\)

\(\frac{\sqrt{529}}{\sqrt{196}}\) = \(\frac{23}{14}\)

(vi) \(\frac{2809}{121}\)

\(\frac{\sqrt{2809}}{\sqrt{121}}\) = \(\frac{53}{11}\)

(vii) \(\frac{18769}{729}\)

\(\frac{\sqrt{18769}}{\sqrt{729}}\) = \(\frac{137}{27}\)

(viii) \(\frac{3721}{49}\)

\(\frac{\sqrt{3721}}{\sqrt{49}}\) = \(\frac{61}{7}\)

(ix) \(\frac{7569}{2209}\)

\(\frac{\sqrt{7569}}{\sqrt{2209}}\) = \(\frac{87}{47}\)

(x) \(\frac{9409}{3025}\)

\(\frac{\sqrt{9409}}{\sqrt{3025}}\) = \(\frac{97}{55}\)

(xi) \(\frac{73441}{3364}\)

\(\frac{\sqrt{73441}}{\sqrt{3364}}\) = \(\frac{271}{58}\)

(xii) \(\frac{961}{25}\)

\(\frac{\sqrt{961}}{\sqrt{25}}\) = \(\frac{31}{5}\)

(xiii) \(\frac{17161}{729}\)

\(\frac{\sqrt{17161}}{\sqrt{729}}\) = \(\frac{131}{27} \)

(xiv) \(\frac{3600}{169}\)

\(\frac{\sqrt{3600}}{\sqrt{169}}\) = \(\frac{60}{13}\)

(xv) \(\frac{2401}{225}\)

\(\frac{\sqrt{2401}}{\sqrt{225}}\) = \(\frac{49}{15}\)

(a) ΔABC is right-angled at B.

Therefore, by applying Pythagoras theorem, we obtain

AC² = AB² + BC²

AC² = (6 cm)² + (8 cm)2

AC² = (36 + 64) cm² =100 cm2

AC = (√100) cm = (√10x10) cm

AC = 10 cm

(b) ΔABC is right-angled at B.

Therefore, by applying Pythagoras theorem, we obtain

AC² = AB² + BC²

(13 cm)² = (AB)² + (5 cm)²

AB² = (13 cm)² − (5 cm)² = (169 − 25) cm² = 144 cm2

AB = (√144) cm = (√12x12) cm

AB = 12 cm

(i) Unique 

(ii) Lines 

(iii) Perpendicular, perpendicular 

(iv) Three, two half planes, line.

(i) Five line segments AB, CD, AC, PQ, DS 

(ii) Five rays PA, RB, DC, QS, DS

(iii) Four collinear points. C, D, Q, S 

(iv) Two pairs of non–intersecting line segments AB and CD AB and LS.

Option : (C)

Let the small angle be = x 

Then, 

The second angle = 2x - 24° 

Since, 

Opposite angles are equal the 4 angles will be x, 2x - 24°, x , 2x - 24° 

So now by angle sum property : 

x + 2x - 24° + x + 2x - 24° = 360° 

6x - 48° = 360° 

6x = 360° + 48° 

6x = 408° 

x = \(\frac{408°}{6}\)

x = 68° 

Thus, 

The smallest angle is 68° 

The second angle = 2 (68°) - 24° 

= 112°

Sum of angles of a triangle = 180° 

A + B + C = 180° …(1) 

B – A = C – B …(Given) 

2B = C + A …(2) 

(1) => 2B + B = 180° 

3B =180°

Or B = 60°

4/5 ÷ 4 is equal to 1/5

2/5 of 25 is 10

Correct option is   C) \(\frac{82}{100}\)

(a) Proper fraction

(b) Improper fraction

(c) Mixed fraction

(d) Decimal fraction

(e) Vulgar fractions

The numbers of children in 10 families: 2 , 4 , 3 , 4 , 2 , 3 , 5 , 1 , 1 , 5 

Total number of children = 2 + 4 + 3 + 4 + 2 + 3 + 5 + 1 + 1 + 5 

= 30 

Total Families = 10 

Number of children per family = Mean = (Total number of children) / (Total Families) 

= \(\frac{30}{10}\)

= 3 

Therefore, Number of children per family is 3.

Correct option is D) All of these

Correct option is B) Speed

When steam is passed over red hot iron magnetic oxide is formed.

3Fe + 4H₂O (steam) → Fe₃O₄ + 4H₂↑

The number of children in 10 families:

2, 4, 3, 4, 2, 0, 3, 5, 1, 1, 5

Therefore, Mean \(=\frac{Total\, children}{Total\,families}\)

 \(=\frac{2 + 4 + 3 + 4 + 2 + 0 + 3 + 5 + 1 + 1 + 5}{10}\)

\(=\frac{30}{10}\)

= 3

B. her husband Jim Macpherson.

1. It is not necessary to clean up every day.

2. It does not make any difference.

The above lines from the poem ‘Don’t Give Up’ written by Phoebe Cary convey the message that if success comes to us easily it will not be considered as our achievement. Rising above challenges and failures, and emerging a winner is true success, according to the poet.

Grandpa wished to avoid the task of making his bed.

Yes. In a dusty and tropical country like ours, we have to see that the beds are clean and dust- free. It also feels better to lie down on a clean and fresh bed. So we must make the beds every day.

If I have to do a chore that I don’t like, I first try to see if I can avoid it in some way, like getting someone to do it for me. If it is not a very important chore, like making beds, I ignore it till my mother shouts at me. If it is an important chore that cannot be avoided, I hurry up and do it as fast as I can to get it over with.

• 21st Century mother: There’s no question. Your life was certainly better, Rukmini. 
• 19th Century mother: Better, Reena? You mean, bending over the old wood stove and the grinding stone was better? 
• 21st Century mother: That may have been difficult, Rukmini, but otherwise your life was peaceful. You only had to look after the home and family. While today, we … 
• 19th Century mother: ‘Only look after home and family’? That was a full-time job! There were no short cuts like takeaways and readymade stuff! And what about freedom? The freedom you have! 
• 21st Century mother: Freedom with chains! I have to work hard both at home and in the office. I have to be a ‘supermom’ and ‘super boss’! Do you know how terrible it is? (Students can continue the dialogue in this manner.)

From his encounter with his ancestors, Neel realized that at that time teenage boys had chores to do outdoors as well as in their homes. They also had to make their beds.

terror, tower, walls, wooden

It was not enough to use the wooden horse to hide. It had to be taken inside the city. To achieve this, a Greek, who had been left behind for this very purpose, said that the horse had been left behind as an offering to the god of the sea. It had been made very big so that the Trojans could not take it inside their city. If they did so, the luck would go to the Trojans and not to the Greeks. When they heard this, the Trojans wanted to take the wooden horse inside the city, and they broke their walls to do so.

The Trojans should not have believed the Greeks. They should have been cautious and examined the horse minutely. They should also not have been superstitious enough to bring the horse into the city, expecting good luck. They should have heeded the words of the wise priest.

The fall of Troy could have been avoided if the Trojans had been wise enough to detect the ‘wooden horse plot’ hatched by the Greeks. They should also not have been stupid enough to believe the silly story told by the lone Greek. They should at least, have listened to their wise priest who had warned them that the horse could be a trick to destroy Troy.

Some of the Trojans asked why the Greeks had made such a huge horse.

The First World War had begun in 1914 and continued for the next 4 years up to 1918. It led to a great economic and political instability in many countries of the world. It was a war among all the leading industrial nations. Since it was the first industrial war many heavy types of equipment were used. Many soldiers were recruited and most of them were either injured or dead. Since the industries were pushed to produce war related goods and men were sent on the battlefield, the women began to work in the industries. It had also ended the economic links between different countries. Hence it is said that there was no war like the First World War.

1. had built – past perfect tense.

2. could – indicates ability.

3. He spoke – Main Clause.

(He) told them this false tale – Main Clause.

4. They saw on the sands a huge horse which was made of wood.

5. She had been brought to Troy (by him).

6. They fought daily, but the siege did not end.

Canal colonies in Punjab were:

a) The British Indian government built a network of irrigation canals to change semidesert areas into fertile agricultural lands. 

b) They could grow wheat and cotton for export. 

c) The areas of those colonies were irrigated by new canals and peasants were settled from other parts of Punjab.

When we say that the world shrank in the 1500s means that – 

a) European discovered the sea route to Asia and so trade activities increased between Asia and Europe. 

b) The American continent was discovered only when the sea route through the Atlantic Ocean to America was found. 

c) Due to the above reasons, there was increased interaction among the people leaving in various continent, of the world, thus causing the world to shrink in symbolic terms.

There is nothing to indicate that the Greeks were superstitious. But the Trojans were superstitious and believed that the wooden horse would bring them luck if they dragged it into their city.

Every day Greeks were coming out of their gates.

Greeks were unable to take the city.

Set fire to houses, burn and kill, sight of leaping flames, sound of shouting, noise of weapons, cries of weeping women, the sleeping Trojans taken by surprise, put on their armour, seize their weapons, went up in flames, all in vain.