Explore topic-wise InterviewSolutions in Current Affairs.

Anaphylaxis is the classical immediate hypersensitivity reaction. It is a sudden, systematic, severe and immediate hypersensitivity reaction occurring as a result of rapid generalized mast-cell degranulation

Correct answer is (b) False

ELISA is highly sensitive and can detect antigen even in nanograms.

ELISA test does not require radioisotopes or radiation counting apparatus.

The child is careful about not tripping others.

Correct answer is (c) floor

Correct statement is  2. The child in the poem is careful

Spread of cancerous cells to distant sites is termed as Metastasis.

Rauwolfia vomitoria can be cited as an example for genetic diversity. Reserpine is an active chemical extracted from Rauwolfia vomitoria.

Correct option is C. jumping

(b) R explains A

1. d

2. c

3. a

4. b

Correct answer is (a) True

Correct answer is True

1.d

2.c

3.a

4.b

1. In

2. on

sin^-1 x +  sin^-1 2x = \(\frac{π}{3}\)

sin-1 ( x\((x { \sqrt{1-4x^2} \ } + 2x { \sqrt{1-x^2} \ }) =\frac{π}{3}\)

( ∵ sin^-1 x  + sin^-1 y = sin^-1 \((2x { \ \sqrt{1-y2} \ }+{ 4 \sqrt{1-x^2} \ }))\)^\(\)

⇒ ^{\(x { \sqrt{1-4x^2} \ } +2x { \sqrt{1-x^2} \ } =sin\frac{π}{3}=\frac{√3}{2}\)}

⇒ x² (1- 4x²) + 4 x² (1-x²) + 4x² \( { \ \sqrt{(1-4x^2)(1-x^2)} \ }=\frac{3}{4}\)

(by squaring on both sides)

⇒ 16x² \( { \ \sqrt{(1-x^2)(1-4x^2)} }=3-(x^2 -4x^4+4x^2-4x^4)\)

⇒ \(16x^2 = { \sqrt{(1-x^2)(1-4x^2)} \ } =3-5x^2+8x^4\)

⇒ 256x⁴ (1 - x²) (1- 4x²)  = 9 + 25x⁴+ 64x⁸ - 30 x² + 48 x⁴ - 80x⁶

⇒ 256x⁴ (1 - 5x² +4x⁴ ) = 64x⁸ - 80x⁶ + 73x⁴ - 30 x² + 9

⇒ 256x⁴ - 1280x⁶  + 1024 x⁸  = 64 x⁸ - 80 x⁶ + 73x⁴ - 30x² +9

⇒ 960x⁸ - 1200x⁶ + 183x⁴ +30x² - 9 = 0

The correct answer is 3 only.

• Department of Mines and Geology (DMG) of Rajasthan State, headquartered at Udaipur.
• Madhya Pradesh is the largest producer of copper in India.
• Rajasthan is the second-largest producer of copper.
• Rajasthan is endowed with the largest lead-zinc ore deposit.
• Hence the only 3rd statement is correct.

• Copper:
  • Madhya Pradesh is the largest producer of copper
  • Rajasthan is the second-largest producer of copper
  • Khetri mines are the largest producing site at Ganeshwar.
    • Ganeshwar is located near the Sikar-Jhunjhunu area of the Khetri copper belt in Rajasthan.
  • Copper has wide application and uses in electrical wiring due to its high conductivity and ductility
  • Copper ore is called chalcopyrite.
• Lead-zinc ore:
  • ​Lead and zinc have the largest deposit in Rajasthan.
  • Rampura-Agucha is a place of ore deposits in the Bhilwara district of Rajasthan.
  • Production by Hindustan zinc limited.
  • Lead has wide use and application in batteries, electronics, and medical devices. 

The correct answer is Rajasthan.

• The Khetri mines are located in Rajasthan.
  • Khetri mines in Rajput are famous for copper mines.
  •  Khetri Nagar, which is located 10 km far from Khetri, is known as the 'Tamba Project'.
  • Khetri Nagar was built by Hindustan Copper Limited which is a public sector under the "Government of India" and under his jurisdiction.
  • Khetri Nagar is a town in the Jhunjhunu district of Rajasthan in India.
  • Khetri Nagar is also very well known with the name of 'Copper'.

• There are four main mining methods: underground, open surface (pit), placer, and in-situ mining.
  • Underground mines are more expensive and are often used to reach deeper deposits.
  • Surface mines are typically used for more shallow and less valuable deposits.
  • Placer mining is used to sift out valuable metals from sediments in river channels, beach sands, or other environments.
  • In-situ mining, which is primarily used in mining uranium, involves dissolving the mineral resource in place then processing it at the surface without moving rock from the ground.

The correct answer is Kamal Hassan.

• Kamal Hassan had won the Henri Langlois Award for his contribution to cinema in France as a child artist in his debut movie Kalathoor Kannamma in 1959.
• In 2016, He was awarded the Knight Of the Order of Arts and Letters for his huge contribution to cinema.

• Bollywood artists who were honoured by foreign countries for their contribution to cinema:

The correct answer is Telangana.

• The Singareni coal reserves stretch across 350 Km of the Pranahita located in Godavari Valley of Telangana.
• Singareni Collieries Company Limited (SCCL) is currently operating 18 opencast and 27 underground mines in 4 districts of Telangana.
• The present Company was incorporated on 23rd December 1920.

• Important mines in Odisha:
  • Iron ore in Joda, Keonjhar, Jajpur.
  • Manganese in Keonjhar, Rayagada, Sundergarh.
  • Bauxite in Balangir, Koraput, Kalahandi, Sambalpur.
  • Coal in Jharsuguda, Talcher.
• The principal mineral-bearing belts in Maharashtra are the Vidarbha area in the east and the Konkan area in the west.
  • Important mineral occurrences are:
    • Bauxite in Kolhapur, Raigad, Ratnagiri, Satara, Sindhudurg, Thane districts.
    • China clay in Amravati, Bhandara, Chandrapur, Nagpur, Sindhudurg, Thane districts.
    • Chromite in Bhandara, Chandrapur, Nagpur, Sindhudurg districts.
    • Coal in Nagpur, Chandrapur, Yavatmal districts.
    • Dolomite in Chandrapur, Nagpur, Yavatmal districts.
    • Gold in Bhandara, Nagpur districts.
• Important mines in Chhattisgarh:
  • Iron ore in Bailadila, Raoghat, Hahaladdi/Kodapakha, Metabodeli, Dalli Rajhara.
  • Bauxite in Mainpat, Kandraja block, Jamirapat, Pendrapat.
  • Coal in Sohagpur, Jhilimili, Chirimiri, Bisrampur, Lakhanpur, Panch Bhahni, Korba, Mand Raigarh.

Abhinav Mukund

CONCEPT:

Point P is uniquely determined by the ordered pair of real numbers (r, θ), called the polar coordinates of the point P.

If P represent the nonzero complex number z = x + iy.

Here \(r = \sqrt {{x^2} + {y^2}} = \left| z \right|\) is called modulus of the given complex number.

The argument of Z is measured from the positive x-axis only.

Let z = r (cos θ + i sin θ) is a polar form of any complex number then following ways are used while writing θ for different quadrants –

For the first quadrant, \({\rm{\theta }} = {\tan ^{ - 1}}\frac{{\rm{y}}}{{\rm{x}}}\)

For the second quadrant \({\rm{\theta }} = {\rm{\pi }} - {\tan ^{ - 1}}\frac{{\rm{y}}}{{\rm{x}}}\)

For the third quadrant \({\rm{\theta }} = - {\rm{\pi }} + {\tan ^{ - 1}}\frac{{\rm{y}}}{{\rm{x}}}\)

For the fourth quadrant \({\rm{\theta }} = - {\rm{\;ta}}{{\rm{n}}^{ - 1}}\frac{{\rm{y}}}{{\rm{x}}}\)

CALCULATION:

Given that \(\left| z \right| = \sqrt 2 \) and angle with x-axis is 45°.

Since its in the third quadrant -

∴ \(\theta = - \pi + \frac{\pi }{4} = - \frac{{3\pi }}{4}\)

⇒ [r, θ] = \(\left[ {\sqrt 2 , - \frac{{3\pi }}{4}} \right]\)

Correct option  (b) 48

Explanation: 

Let the common difference of the series X be d₁ and that of Y be d₂

Since x_n – y_n = n − 2, x₁ − y₁ = −1 or y₁ = x₁ + 1 

x₃ = y₅

x₁ + 2d₁ = y₁ + 4d₂

x₁ + 2d₁= x₁ + 1 + 4d₂

2d₁ − 4d₂ = 1 

x₉₉ – y₁₉₇ = x₁+ 98d₁ − y₁- 196d₂ = −1 + 49(2d₁− 4d₂) = −1 + 49 = 48.

Correct answer is (C) 35°

Correct option is: (D) \(\frac{a-b}{a+b}\)

Correct answer is (C) 45°

Correct answer is (B) 30°

The correct answer is : (c) l₃

Correct answer is (B) cos α

\(\because\) A is orthogonal matrix.

\(\therefore \) A^TA = A.A^T = I, where I is identify matrix.

⇒ |A^TA| = | I |

⇒ |A^TA| |A| = 1    (\(\because\) | I | = 1)

⇒ |A| |A| = 1        (\(\because\) |A^TA| = |A|)

⇒ |A|² = 1

⇒ |A| = -1 or |A| = 1

Hence, |A| = 0 can not be true for an orthogonal matrix A.