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Given,

Pointing to the man receiving the award, Sunny said, "He is the brother of my uncle's daughter."

Here we see the man is Sunny's cousin.

Hence, the correct answer is A. Cousin.

Given,

Statement:

At the book fair, one author's books are displayed to the public

The prices of books are too high for a common man

Conclusion:

I. Layman only buys books from the exhibition → False (The first conclusion does not follow as a layman can buy books from anywhere)

II. Expensive panting is usually displayed at the art gallery → False (The second conclusion also does not follow as we do not have anything related to painting in the statement)

Here, we see neither conclusion I nor II follow.

Hence, the correct answer is D. Neither I nor II follow.

We know,

Given,

PARIS is coded as QBSJT.

The pattern followed here is,

Similarly

Hence, the correct answer is D. MPOEPO.

Given:

Variance = 361

Concept used:

The positive square root of the variance is called Standard deviation

S.D = √Variance

Calculation:

S.D = √Variance

⇒ S.D = √361

⇒ S.D = 19

∴ The standard deviation of the data is 19.

Given:

M₁ = 15 , D₁ = 20 days

M₂ = 8 , 

Concept used:

M1 × D₁ = M1 × D1 

Calculation:

Let the 8 men will take time x days.

M1 × D1 = M1 × D1 

⇒ 15 × 20 = 8 × x

⇒ 300 = 8 × x

⇒ x = 37.5

∴ 8 men will take 37.5 days.

The correct answer is D.

• 'AR Rahman' has been conferred with the prestigious 2015 Hridaynath Mangeshkar Award in Mumbai.
• Hridaynath Mangeshkar is the son of renowned musician Deenanath Mangeshkar.
• Dinanath Mangeshkar was a famous Marathi theatre actor, music composer, and Hindustani classical musician and singer.
• This award was established in 2011 by Hridayesh Art, a Mumbai- based socio-cultural organization.
• The first Hridaynath Mangeshkar award was conferred to Lata Mangeshkar in 2011.​

Given:

Cotx = 5/12

Formula used:

Using basic trigonometric functions.

1. Cotx = B/P

2. Sinx = P/H

3. Cosx = B/H

Where B is base, P is perpendicular and H is the hypotenuse

Calculation:

Cotx = 5/12 = B/P

H² = B² + P² 

⇒ H² = 5² + 12² = 25 + 144

⇒ H² = 169

⇒ H = 13

Sinx + Cosx = P/H + B/H = 12/13 + 5/13

∴ Sinx + Cosx is 17/13

Given:

w = –2, x = 3, y = 0, and z = –1/2

Calculation:

\(\ x\sqrt{(x+wz)} = \ 3\sqrt{(3+(-2)\times (-1/2))}\)

 \(\Rightarrow \ x√{(x+wz)} = 3√{4}\)

As, √4 = 2

\(\therefore \ x\sqrt{(x+wz)} = 6\)

The correct answer is B.

• 'International Astronomical Union' is an organization of astronomers, which was established in the year 1919.
• Whenever a new object is found in the universe, only the names given by the 'astronomical union' are recognized internationally.
• The 'International Astronomical Union aims to promote 'astronomical science'.
• Its central secretariat is in "Paris".

Additional Information

• The 'European Space Agency' is a group of 20 member countries that conduct space-related activities.
• Its headquarters are located in 'Paris'.
• It was established in the year 1975.

The correct answer is D.

• Notification of the 'National Judicial Appointments Commission' and Constitution Amendment Act (99^th Amendment Act) was issued on 13 April 2015 by the Department of Justice in the Union Law Ministry.
• Its objective is to change the existing system of appointment of judges in the Supreme Court and 24 High Courts of the country.
• The members of the National Judicial Appointments Commission will consist of two senior judges of the Supreme Court, Union Law and Justice Minister, two eminent persons nominated by the Committee of the Prime Minister of India.
• GST was implemented in India on 1 July 2017 and the 101 Constitution Amendment relates to GST.
• The Agreement on Land Boundary between Bangladesh and India is related to the 100 Constitution Amendment.