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Given:

The sum of the present ages of father and son is 50 years. When the age of the son becomes equal to the present age of the father, the sum of their ages will be 110 years.

Concept:

We need to set up equations based on the given conditions and solve for the present ages of the father and the son.

Calculation:

Let the present age of the father be F years and the present age of the son be S years.

From the given information:

⇒ F + S = 50  ...(1)

When the son's age becomes equal to the present age of the father, the son's age will be F years. At that time, the father will be F + (F - S) years old (since the difference in their ages remains constant).

The sum of their ages at that time will be:

⇒ F + (F + (F - S)) = 110  ...(2)

Simplifying equation (2):

⇒ F + F + F - S = 110

⇒ 3F - S = 110  ...(3)

Now we have two equations:

1. F + S = 50

2. 3F - S = 110

Adding equations (1) and (3):

⇒ (F + S) + (3F - S) = 50 + 110

⇒ 4F = 160

⇒ F = 40

Substitute F = 40 into equation (1):

⇒ 40 + S = 50

⇒ S = 10

∴ The present age of the father is 40 years and the present age of the son is 10 years.

The logic followed here is:

Logic: The coding has been done by the square of the digits.

Let's check,

249 = 41681

\

357 = 92549

\

856 = 642536

\

Similarly,

973 = ?

\

 

Hence, the correct answer is "81499".

The correct answer is Kerala.

Key Points

• The Vikram Sarabhai Space Centre is a major space research centre of the Indian Space Research Organisation, focusing on rockets and space vehicles for India's satellite programme. It is located in Trivandrum, in the Indian state of Kerala. It was established in 1963.
• The UR Rao Satellite Centre, formerly ISRO Satellite Centre is an Indian Space Research Organisation centre for the design, development, and construction of Indian satellites. It was established in the year of 1972 as Indian Scientific Satellite Project in Peenya Industrial Estates of Bengaluru.
• National Remote Sensing Centre, or NRSC, located in Hyderabad, Telangana is one of the centres of the Indian Space Research Organisation. NRSC manages data from aerial and satellite sources.
• The Indian Institute of Remote Sensing is a premier institute for research, located in Dehradun, Uttrakhand, higher education and training in the field of Remote Sensing, Geoinformatics and GPS Technology for Natural Resources, Environmental and Disaster Management under the Indian Department of Space, which was established in the year 1966.

Additional InformationThe table below is correctly matched:

Given:

Rs.1550 divided into two parts and deposited at the rate of 5% and 8%. Interest of Rs. 300 was obtained after 3 years.

Concept:

Simple Interest (SI) formula is used:

SI = (P × R × T) / 100

Where P is the principal amount, R is the rate of interest, and T is the time period.

Calculation:

Let the two parts be Rs. x and Rs. (1550 - x).

⇒ Interest from the first part at 5%:

SI₁ = (x × 5 × 3) / 100 = (15x) / 100

⇒ Interest from the second part at 8%:

SI₂ = ((1550 - x) × 8 × 3) / 100 = (37200 - 24x) / 100

⇒ Total interest from both parts:

(15x) / 100 + (37200 - 24x) / 100 = 300

⇒ Simplifying the equation:

(15x + 37200 - 24x) / 100 = 300

⇒ (37200 - 9x) / 100 = 300

⇒ 37200 - 9x = 30,000

⇒ 9x = 7200

⇒ x = 800

Therefore, the two parts are:

1550 - 800 = 750

∴ The correct answer is option 3 (800, 750)

The correct answer is Special Leave Petition

Key Points

• Writs are a written order from the Supreme Court or High Court that commands constitutional remedies for Indian Citizens against the violation of their fundamental rights.
• Article 32 in the Indian Constitution deals with constitutional remedies that an Indian citizen can seek from the Supreme Court of India and the High Court against the violation of his/her fundamental rights.
• The same article gives the Supreme Court power to issue writs for the enforcement of rights whereas the High Court has the same power under Article 226.
• The writs- Habeas Corpus, Mandamus, Certiorari, Quo Warranto, and Prohibition

The correct answer is 1907.

Key Points

• At the Surat conference in 1907, congress split.
• The moderate leaders have captured the machinery of the Congress excluded the militant extremist elements from it.
• The Congress split into 2 separate groups moderates and extremists.

Additional Information The INC was formed during the tenure of Lord Dufferin (Viceroy of India from 1884-1888).

The correct answer is Charles Darwin

Key Points

• Charles Darwin proposed the theory of Natural selection in 1859 in his book **The Origin of Species.**​
• Darwin coined the term natural selection. To describe the process by which organisms with favorable variations survive and reproduce at higher rate.
• An inherited variation that increases an organisms' chance of survival in a particular environment is called an adaptation.
• Over many generations, an adaptation could spread throughout the entire species.
• In this way, according to Darwin, evolution by natural selection.

Darwin concluded **that individuals having advantageous variations are more likely to survive and reproduce than those of without the advantageous variations (**survival of fittest). 

Darwin's theory invariably had a combination of some the following five theories:

1. Evolution as such
2. Common descent
3. Multiplication of species
4. Gradualism
5. Natural selection.​

Additional Information

• Newton: Sir Issac Newton was a great mathematician and physicist. who gave the law of motion and gravitation.
• Newton gave 3 laws of motion=

1. A body at rest will remain at rest, and body in motion will remain in motion unless it is acted upon by an external force.
2. The force acting on an object is equal to the mass of mass of that object times its acceleration, F=ma
3. For every action, there is an equal and opposite reaction.

• ​Mendel: Gregor John Mendel known as the father of genetics.

1. In 1856, he published the results of the hybridization experiments titled Experiments on Plant Hybrids in a journal 'The proceeding of Brunn society of natural history'. and postulated the principles of inheritance which are popularly known as Mendel's law.
2. Mendel's law of inheritance: These laws of inheritance are applicable to sexually reproducing eukaryotic organisms.

• On the basis of hybridization experiment on Pisum sativum. Mendel proposed the laws of inheritance.
• These laws are- 1) Law of segregation.

                                   2) Law of independent assortment.

Characters studied by Mendel.

​

Important Points

• Flower color is correlated with seed coat colors. Seeds with white seed coats were produced by plants that had white flowers and those with grey seed coats came from plants that had violet flower.
• Lamarck:
• Jean-Baptiste de Lamarck, a French biologist, published the first truly mechanistic theory of evolution in his book called the use and disuse of acquired characteristics.

The logic followed here is:

Mississippi ∶ America

→ Mississippi is a state in America.

Similarly,

Congo ∶ ?

→ Congo is a state in Africa.

Hence, the correct answer is "Africa".

The logic followed here is:

Logic: The number inside the box is the sum of the outer numbers.

→ (7 + 4 + 3 + 6) = 20

→ (8 + 2 + 9 + 5) = 24

Similarly,

→ (7 + 9 + 6 + 10) = 32

Hence, the correct answer is "32".

Calculation:

Square root of 6466849 = 2543.