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Correct Answer: 1442

Solution : $\mathrm{p}-\frac{1}{\mathrm{p}}=6$
Squaring both sides, we get,
$⇒p^2+\frac{1}{p^2}-2(p)(\frac{1}{p})=36$
$⇒p^2+\frac{1}{p^2}-2=36$
$⇒p^2+\frac{1}{p^2}=38$
Squaring both sides again, we get,
$⇒p^4+\frac{1}{p^4}+2(p^2)(\frac{1}{p^2})=1444$
$⇒p^4+\frac{1}{p^4}+2=1444$
$\therefore p^4+\frac{1}{p^4}=1442$
Hence, the correct answer is 1442.

Correct Answer: 20%

Solution : Given: Compound interest = INR 7920
Principal = INR 18,000
Time = 2 years
Compound interest $= \text{Principal}×((1+\frac{\text{Rate}}{100})^{\text{Time}}-1)$
⇒ $7920=18000×((1+\frac{\text{Rate}}{100})^{2}-1)$
⇒ $\frac{7920}{18000}=((1+\frac{\text{Rate}}{100})^{2}-1)$
⇒ $\frac{11}{25}+1=(1+\frac{\text{Rate}}{100})^{2}$
⇒ $\frac{36}{25}=(1+\frac{\text{Rate}}{100})^{2}$
⇒ $\frac{6}{5}=1+\frac{\text{Rate}}{100}$
⇒ $\frac{6}{5}-1=\frac{\text{Rate}}{100}$
⇒ $\frac{1}{5}=\frac{\text{Rate}}{100}$
$\therefore$ Rate $= 20$%
Hence, the correct answer is 20%.

Correct Answer: Mahendra Singh Dhoni

Solution : The correct answer is Mahendra Singh Dhoni.

Mahendra Singh Dhoni led India to victory in white-ball cricket, where they won all three major ICC trophies. In the 2007 ICC World Twenty20, the 2010 and 2016 Asia Cups, the 2011 ICC Cricket World Cup,

Correct Answer: 18th

Solution : Given:
In a row of girls, Kamala is tenth from the left and Vimala is twelfth from the right. When they exchange their places, Kamala is sixteenth from the left. 

Position of Kamala from left end = 10
Position of Vimala from right end =

Correct Answer: Permanent

Solution : The first option is the correct choice.

The adjective perpetual means never-ending or changing. Permanent means lasting or enduring indefinitely, not temporary or transitory.

The meanings of the other options are as follows:

• Extreme: characterised by a high degree of intensity.
• Brief: short

Correct Answer: Rabindranath Tagore

Solution : The correct answer is Rabindranath Tagore.

Rabindranath Tagore's pseudonym is "Bhanusingha". He was a famous Bengali polymath, poet, musician, and artist, and was the first Indian-origin person to win the Nobel Prize for literature in 1913.

Correct Answer: Sriharikota

Solution : The correct option is Sriharikota.

The satellite launching centre of India is called the Satish Dhawan Space Centre. It is located in Sriharikota, Andhra Pradesh. It is the primary launch centre for the Indian Space Research Organisation (ISRO), responsible for launching satellites into various orbits

Correct Answer: 1210

Solution : Total consumption of coal of all the 6 countries = 132 + 248 + 185 + 245 + 226 + 174 = 1210
Hence, the correct answer is 1210.

Correct Answer: 11.25

Solution : A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h.
Let the speed of the boat in still water be $x\ \text{km/h}$.
Let the speed of the stream be $y\ \text{km/h}$.
According to the question,
Speed of

Correct Answer: $c,\frac{1}{c}$

Solution : Given: $x+\frac{1}{x}=c+\frac{1}{c}$
⇒ $x-c=\frac{1}{c}–\frac{1}{x}$
⇒ $x-c=\frac{(x–c)}{xc}$
⇒ $(x-c)-\frac{(x–c)}{xc}=0$
⇒ $(x-c)[1-\frac{1}{xc}]=0$
Taking, $(x-c)=0$
⇒ $x=c$
Now, taking $[1-\frac{1}{xc}]=0$
⇒ $\frac{1}{xc}=1$
⇒ $x=\frac{1}{c}$
Hence, the correct answer is $c,\frac{1}{c}$.