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Calculation:

AD² = AB ×  AC

⇒ AD² = 8 × (10 + 8)

⇒ AD2 = 144

⇒ AD = 12

∴ The correct answer is 12

The pattern followed here is,

Similarly,

Hence, ‘UNWJ’ is the correct answer.

The correct answer is Vector.

Key Points

• A vector is a biological tool in rDNA technology.

• It is used for the delivery of desired foreign DNA into the host cell.

• A vector is a DNA molecule that has the ability to replicate autonomously in the host cell and into which DNA fragment to be cloned.

• Properties of an ideal vector:

• It should be replicate autonomously.

• A vector should be less than 10 KB in size.

• It should be easily isolated and purified.

• It should be easily introduced into the host cell.

• It should have suitable marker genes.

• The vector should consist of unique target sites and recognition sites for various restriction enzymes.

• It should have the capability to incorporate either itself or the DNA insert in the Genome of the host cell.

Important Points

• Transfer RNA (tRNA) is a small RNA molecule that is essential for protein synthesis.
• Transfer RNAs (tRNAs) are molecules that act as temporary carriers of amino acids, bringing the appropriate amino acids to the ribosome based on the nucleotide sequence of the messenger RNA (mRNA). In this way, they serve as bridges between nucleotide and amino acid sequences.

The correct answer is 1972.

Key Points

• The Madhya Pradesh State Planning Board was constituted in the year 1972 to oversee the development and implementation of planning activities in the state.
• The establishment of the Planning Board was aimed at ensuring coordinated and systematic development of resources within Madhya Pradesh.
• The Planning Board serves as an advisory body to the state government, providing guidance on economic, social, and infrastructure development projects.
• The constitution of the board aligns with the broader goals of planned development across India, which were initiated during the era of Five-Year Plans.
• Madhya Pradesh, being a large state with diverse geographical and socio-economic conditions, required such a body to address regional disparities effectively.

Additional Information

• State Planning Boards in India:
• State Planning Boards were established in various states during the second half of the 20^th century to support the implementation of the Five-Year Plans at the state level.
• These boards act as advisory bodies that formulate strategies for economic growth, poverty alleviation, and infrastructure development.
• Madhya Pradesh State Planning Board:
• The Planning Board in Madhya Pradesh was established in 1972 to address the specific needs of the state.
• It focuses on areas such as agriculture, education, healthcare, infrastructure, and industrial development.
• The board plays a critical role in ensuring balanced development across various regions of the state, considering its diverse geography and socio-economic conditions.
• Five-Year Plans and State Planning:
• The concept of planned development in India was introduced with the First Five-Year Plan (1951-56), focusing primarily on agricultural growth.
• Subsequent plans included provisions for the establishment of state-level planning boards to decentralize planning and ensure localized implementation.
• Key Features of State Planning Boards:
• They serve as a bridge between the state and central government in terms of developmental planning.
• State Planning Boards ensure that regional concerns and priorities are incorporated into the broader planning framework.
• They identify areas requiring immediate attention, such as drought-prone zones or underdeveloped districts.

Important Points

• Madhya Pradesh:
• It is the second-largest state in India by area and has diverse geographical regions such as the Vindhya and Satpura ranges.
• The state is known for its rich cultural heritage and historical landmarks, including Khajuraho temples and Sanchi Stupa.
• Agriculture and forestry are major contributors to the state's economy, making planning for these sectors crucial.
• Historical Context of Planning in India:
• India adopted centralized planning mechanisms after Independence, inspired by the Soviet model.
• The establishment of state planning boards was a step toward decentralizing the planning process and addressing regional disparities.

Concept used:

• Perimeter of a circle = 2πr, where r = radius

• Perimeter of a square = 4 × side

Calculation:

According to the question, r = side of the square, then

2πr : 4 × r 

⇒ 2 × 22/7 : 4

⇒ 11 : 7

∴ The correct answer is 11 : 7

According to the given information,

Bhavya’s birthday is on April 21, which is Friday.

Zara’s birthday is on 1^st September

There is a gap of 133 days between the two dates.

1^st September is exactly 19 weeks after 21^st April.

1^st September is also a Friday.

Hence, “Friday” is the correct answer.

The correct answer is Electrolytic refining.

Key Points

• Electrolytic refining is a method used to purify impure metals by using electrolysis.
• In this process, the impure metal is made the anode, and a pure metal strip is made the cathode.
• An electrolyte solution containing the metal ions is used to facilitate the transfer of metal ions from the anode to the cathode.
• As a result, the pure metal is deposited on the cathode, while impurities either fall off as anode mud or remain in the solution.
• This method is commonly used for refining metals like copper, nickel, lead, and zinc.

Additional Information

• Electrolysis is the process of using an electric current to drive a non-spontaneous chemical reaction.
• In electrolytic refining, the energy supplied by the electric current helps in the separation of pure metal from its impurities.
• Anode refers to the electrode where oxidation occurs, while the cathode refers to the electrode where reduction occurs.
• Anode mud is the insoluble impurities that collect at the bottom of the electrolytic cell during the refining process.
• This method ensures high purity levels of the refined metal, often exceeding 99.9% purity.

The correct answer is option 2.

Key Points

Rewa Solar Project:

• Recognition:
• The Rewa Solar Project is recognized as one of the largest single-site solar plants in the world. Hence, option 2 is correct.
• Location:
• Situated in the Rewa district of Madhya Pradesh.
• Capacity:
• The project has a total capacity of 750 MW, divided into three units of 250 MW each.
• Significance:
• It has set benchmarks in terms of cost-effectiveness, land utilization, and open-access electricity supply, with Delhi Metro being one of its major beneficiaries.
• It has been recognized internationally for its contribution to India's renewable energy targets.
• Impact:
• The Rewa Solar Project underscores Madhya Pradesh's leadership in solar energy development and contributes significantly to India's green energy goals.

Formula Used:

(sin θ + cos θ)2 + (sin θ - cos θ)2 = 2

Calculation:

(sin θ + cos θ)2 + (sin θ - cos θ)2 = 2

⇒ (sin θ + cos θ)2 + (1/5)2 = 2

⇒ (sin θ + cos θ)2 + (1/25) = 2

⇒ (sin θ + cos θ)2 = 2 - (1/25)

⇒ (sin θ + cos θ)2 = 49/25

⇒ (sin θ + cos θ) = √(49/25)

∴ sin θ + cos θ = 7/5

Alternate Method

sin θ - cos θ = \(\frac{1}{5}\)

Assuming that, If  base = 3 height is = 4 then hypotenuse = 5

sin θ + cos θ = 4/5 + 3/5 

⇒ 7/5

∴ The correct option is 2

The correct answer is Option 4: Not pay any attention to the allegations and continue your work.

• Qualities Projected in this situation:  (Effective Intelligence, Self-confidence, Courage, Presence of mind, and Speed of decision making).

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

Additional Information

Officer qualities: