Explore topic-wise InterviewSolutions in Current Affairs.

Correct option is (D) 64

\((2^{-2})^{-3}=(2)^{-2\times-3}=2^6=64\)

Correct option is  D) 64

Mass of Mars = 6.42 x 10²⁹  kg

Mass of the Sun = 1.99 x 10³⁰ kg

Total mass of Mars and Sun together = 6.42 x 10²⁹  + 1.99 x 10³⁰

= 6.42 x 10²⁹  + 19.9 x 10²⁹  

= 26.32 x 10²⁹  kg

Correct option is (A) a^m × a^-n = a^m-n

(A) \(a^m\times a^{-n}=a^{m+(-n)}=a^{m-n}\) (Correct)

(B) \(a^m\,b^m=(ab)^m\neq a(b)^m\) (Incorrect)

(C) a = 0 then \(a^0=0^0=0\neq1\) (Incorrect)

(D) \((ab)^{-1}=a^{-1}b^{-1}\neq a^{-1}\) (Incorrect)

A) a^m × a^-n = a^m-n 

Correct option is (D) 16

\(2^n=2\)

\(\Rightarrow\) n = 1

Now, \(2^{n+3}=2^{1+3}=2^4=16\)

Correct option is   D) 16

Correct option is (B) 1

\(a^{x(y-z)}\times a^{y(z-x)}\times a^{z(x-y)}\) \(=a^{xy-xz}\times a^{yz-xy}\times a^{xz-yz}\)

\(=a^{(xy-xz)+(yz-xy)+(xz-yz)}\)

\(=a^0=1\)

Correct option is  B) 1

Correct option is (C) 32

\(16^{1.25}=16^{1+0.25}=16^{1+\frac14}\) \(=16^1.16^\frac14\)

\(=16\times(2^4)^\frac14=16\times2\) = 32

Correct option is  C) 32

Correct option is (D) None

Reciprocal of \((\frac{-5}{9})^{99}=\frac1{(\frac{-5}{9})^{99}}=\left[(\frac{-5}{9})^{99}\right]^{-1}\)

\(=[-\frac{5}{9}]^{-99}=\left[(\frac{-5}{9})^{-1}\right]^{99}\)

\(=(\frac{-9}5)^{99}=(-1)^{99}(\frac95)^{99}\) \(=-\left(\frac{9}5\right)^{99}\)

Correct option is  D) None

(d) (-4/3)³

Explanation: 

(-3/4)^-3 

= 1/(-3/4)³ 

= (-4/3)³

(By the law of exponents: a^-n = 1/aⁿ)

(d) (-7/5)⁵

Explanation: 

(-5/7)^-5

= 1/(-5/7)⁵

= (-7/5)⁵

(By the law of exponents: a^-n = 1/aⁿ)

(c) 25/4

Explanation: By the law of exponent we know: a^-n = 1/aⁿ.

Hence, (2/5)^-2 

= 1/(2/5)² 

= 1/(4/25) 

= 25/4

(b) – 5/7

Explanation: 

(-7/5)^-1

= 1/(-7/5) 

= -5/7

Start codon - AUG

Stop codon- UAA/UGA/UAG

∑(1,4,5,6,7)

POS = π(0,2,3)

=(A + B + C) (A + B' + C).(A + B' + C')

G(P, Q, R) = P’.Q.R’ + PQ’.R’ + EQ.R’ + EQ.R

Fowler is a writer and he had come to meet Ausable. His first authentic thrill of the day came when he saw a man in Ausable’s room pointing a pistol towards Ausable and himself.

Ausable said that he thought Max had got into the room through the balcony. He said that it was the second time in a month that somebody had got into his room this way.

It was not Ausable’s balcony. It belonged to the next apartment. It extends under his window now. One can get on to it two doors down as someone did last month. The hotel management, in spite of his protest, has not blocked the balcony till now.

1. (ii) He did so to prevent being caught by police or his former employers. This time he told his name as Hari Singh.

2. (iii) Hari found Anil to be simple and kind that could be a easy target for his purpose.

3. (i) I' refers to Hari Singh.

4. (i) The author is Ruskin Bond.

5. (iv) The meaning is 'quiet'.

Max has got into the room using a passkey or master key.

1. (iv) Max said these words to Ausable.

2. (ii) He said these words because he thought it was the police knocking at the door and he did not want to get caught by the police.

3. (i) Max was slender, a little less than tall, with features that suggesting slightly the crafty, pointed countenance of a fox.

4. (iii) Max's face was black with anger because he thought the police will enter the room soon and catch him red handed.

5. (i) Max is asking to send away the police.

Max tried to hide himself in the balcony described by Mr. Ausable.

The ancient Mariner stopped one of the three Wedding-Guests. The wedding guest protested. The bridegroom’s doors were opened wide. He was an important member of the bridegroom’s family. He must be present at the wedding. The Mariner held him with his skinny hand. His long beard and glittering eyes had a magical effect. The wedding guest could do nothing but to listen to the Mariner’s story.

The Wedding-Guest was not at all happy to be stopped by the ancient Mariner. The bridegroom’s doors were opened wide. He was a very close and important member of the bridegroom’s family. The guests had arrived. The feast was set. He was hearing the joyful celebrations at the wedding. His presence was necessary at the wedding ceremonies.

The ancient Mariner was an old man. He had a long grey beard and glittering eyes. He had skinny hands. His glittering eyes could hold the wedding guest under their spell. He was hypnotised to sit there and listen to the tale of the old Mariner helplessly like a child.

The wedding guest had no option but to listen to the story of the ancient mariner. He beat his breast in despair whereas the bright eyes mariner kept on telling his story. Alliteration – He beat his breast.

The Mariner describes how the ship sailed away from the land. The ship was cheered by the people standing at the harbour. The ship came out of the harbour safely. It passed below the church. Then it moved towards the hill and sailed on after leaving the light house. Finally, it entered the open sea.

By this time, the bride had entered the hall. She was very pretty and looked like a beautiful red rose. She was entering the hall after the singers and musicians who were nodding their heads to the music.

Simile – Red as a rose.

Alliteration – Red as a rose. merry minstrelsy.

The sun rose higher and higher every day till it reached over the most the tallest pole in a ship. At this moment the wedding guest started beating his breast because he had again heard the loud sound of bassoon coming from the house where the wedding had to take place. He wanted to go and attend the wedding.

Repetition – Higher and Higher every day. 

Alliteration –  (a) ........... here beat his breast.

(b) For he heard the land bassoon.

The wedding guest set on a stone. He had no choice or option but to listen to the story of the mariner. The ancient mariner continued narrating his story.

Alliteration – Sat an Stone.

The sun rose from the left. It seemed as if it had came out of the sea. The sun shine brightly during the day and then set on the right side.

Personification –

(a) Out of the sea came he

(b) And he shine bright 

The ship was cheered and it was given clearance from the harbour as well. The sailors dropped the sails happily and the ship moved past the church, hill and light house top. 

Alliteration – Merrily did we drop

Repetition – Below the kirk, below the hill 

(a) ‘We’ refers to the Ancient Mariner and other sailors.

(b) happy note.

(c) The poetic device ‘repetition’ is used in the above lines.

(d) Happily.

We know that a number whose units digit is 0 or 5, then the number is divisible by 5.

(i) 5080

Here, unit’s digit 0 5080 is divisible by 5.

(ii) 66666

Here, unit’s digit is 6.

66666 is not divisible by 5.

(iii) 755

Here, unit’s digit is 5.

755 is divisible by 5.

(iv) 9207

Here, unit’s digit is 7

9207 is not divisible by 5.