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The correct answer is Pallava dynasty.

Key Points

• The monuments were built during the Pallava dynasty.
• Known as the Seven Pagodas in many colonial-era publications, they are also called the Mamallapuram temples or Mahabalipuram temples in contemporary literature.
• The site, restored after 1960, has been managed by the Archaeological Survey of India.
• The Group of Monuments at Mahabalipuram is a collection of 7^th- and 8^th-century CE religious monuments in the coastal resort town of Mahabalipuram, Tamil Nadu, India and is a UNESCO World Heritage Site.
• It is on the Coromandel Coast of the Bay of Bengal, about 60 kilometres (37 mi) south of Chennai.
• The site has 40 ancient monuments and Hindu temples,including one of the largest open-air rock reliefs in the world: the Descent of the Ganges or Arjuna's Penance.
• The group contains several categories of monuments: ratha temples with monolithic processional chariots, built between 630 and 668; mandapa viharas (cave temples) with narratives from the Mahabharata and Shaivite, Shakti or Shaaktha and Vaishnava inscriptions in a number of Indian languages and scripts; rock reliefs (particularly bas-reliefs); stone-cut temples built between 695 and 722, and archaeological excavations dated to the 6^th century and earlier.

Given:

13 + 23 + 33 + ... + 103 = 3025

Calculation:

4 + 32 + 108 + ... + 4000

⇒ 4(1 + 8 + 27 + .....+ 1000)

⇒ 4(13 + 23 + 33 + ... + 103)

⇒ 4 × 3025 = 12100

∴ The correct answer is 12100.

The correct answer is President.

Key Points

• Article 61 of the Indian Constitution is the procedure for impeaching the President, as and when applicable. In such a case, either House of Parliament has the authority to prevent the President from being impeached.
• The Indian Constitution specifies a course of action to be taken if the President violates constitutional norms. In such a case, Article 61 of the Constitution empowers either House of Parliament to impeach the President
• When one House of Parliament prefers a charge, the other House must investigate the charge or cause it to be investigated. The President is entitled to attend the investigation and be represented.
• The President will be removed from office as of the date the resolution is so passed if, as a result of the investigation, a resolution is passed by a majority of not less than two-thirds of the entire membership of the House by which the charge was investigated or caused to be investigated, declaring that the charge preferred against the President has been sustained

Given:

A person's salary has been reduced by 10% and 20% twice in a row and the last time it has increased by 10% and it became Rs 9,900.

Concept Used:

Successive percentage changes can be calculated using the formula for successive percentage change.

Formula Used:

If a value is changed by x% and then by y%, the overall percentage change is given by:

Overall Change = (1 + x/100) × (1 + y/100) - 1

Calculation:

Let the original salary be Rs. S.

First Reduction:

⇒ Salary after 10% reduction = S × (1 - 10/100) = S × 0.90

Second Reduction:

⇒ Salary after 20% reduction = S × 0.90 × (1 - 20/100) = S × 0.90 × 0.80 = S × 0.72

Increase:

⇒ Salary after 10% increase = S × 0.72 × (1 + 10/100) = S × 0.72 × 1.10 = S × 0.792

Given that the final salary is Rs 9,900:

⇒ S × 0.792 = 9,900

⇒ S = 9,900 / 0.792

⇒ S = 12,500

Hence, the person's original salary was Rs 12500.

Given:

A tank is filled in 18 minutes by three tubes A, B, and C. After running all three tubes together for 6 minutes, tube C is stopped and the tank is filled by tubes A and B in 24 minutes.

Concept:

Work done by tubes A, B, and C together in 1 minute = 1/18

Work done by tubes A and B together in 1 minute = 1/24

Calculation:

⇒ Work done by A, B, and C together in 6 minutes = 6 × (1/18) = 1/3

⇒ Remaining work to be done by A and B = 1 - 1/3 = 2/3

⇒ Time taken by A and B to complete 2/3 of the work = 24 minutes

⇒ Work done by A and B together in 24 minutes = 2/3 × (1/24) = 1

⇒ Work done by A and B together in 1 minute = 1/36

⇒ Work done by C in 1 minute = (1/18) - (1/36)

⇒ Time taken by C alone to fill the tank = 1 / (1/36) = 36 minutes

∴ The correct answer is option 2 (36 minutes).

Given:

Buying a carriage with a horse for Rs 4000 makes a profit of 3.5% if the horse is sold at a profit of 20% and the carriage at a loss of 10%.

Concept:

To find the cost price of the horse, we need to set up equations based on the given profit and loss percentages and solve them.

Formula Used:

Profit Percentage = (Profit / Cost Price) × 100

Loss Percentage = (Loss / Cost Price) × 100

Calculation:

Let the cost price of the horse be Rs H and the cost price of the carriage be Rs C.

Given, H + C = 4000

Horse is sold at a profit of 20%:

⇒ Selling Price of Horse = H + 0.20H = 1.20H

Carriage is sold at a loss of 10%:

⇒ Selling Price of Carriage = C - 0.10C = 0.90C

Total Selling Price = 1.20H + 0.90C

Given, the total profit is 3.5%:

⇒ Total Selling Price = 4000 + 0.035 × 4000 = 4000 + 140 = 4140

We have the equation:

1.20H + 0.90C = 4140

We also have H + C = 4000

Solving these two equations:

From H + C = 4000, we get C = 4000 - H

Substitute C in the first equation:

⇒ 1.20H + 0.90(4000 - H) = 4140

⇒ 1.20H + 3600 - 0.90H = 4140

⇒ 0.30H = 540

⇒ H = 540 / 0.30

⇒ H = 1800

Hence, the cost price of the horse is Rs 1800.

∴ The correct answer is option 4.

The correct answer is 1971.

Key Points

• Independence of Bangladesh was declared on 26 March 1971, celebrated as Independence Day, from Pakistan.
• The Independence Day of Bangladesh is celebrated on 26 March when Sheikh Mujibur Rahman declared the independence of Bangladesh.
• The Bangladesh Liberation War started on 26 March and lasted till 16 December 1971 which is celebrated as Victory Day in Bangladesh.
• There is a dispute along partisan line on who declared the Independence of Bangladesh.
• The Awami League claim Sheikh Mujibur Rahman while the Bangladesh Nationalist Party claim it was Ziaur Rahman

The family tree can be drawn using the given information:

Here, we can see that Ram is the Paternal uncle's son of Rama.

Hence, the correct answer is "Paternal uncle's son".

The correct answer is KNO3.

Key Points

• KNO3 is a chemical compound with the chemical name Potassium Nitrate.
• Potassium nitrate also called saltpetre or nitre is a white solid soluble in water formed by fractional crystallisation of sodium nitrate and potassium chloride solutions.
• It is made from potassium chloride and a source of nitrate, such as sodium nitrate, ammonium nitrate, or nitric acid. Potassium nitrate is sold as a water-soluble, crystalline material for hydroponics and in a prilled form for soil applicatio

The correct answer is Uttarakhand.

Key Points

• Kedarnath is a town and Nagar Panchayat in Rudraprayag district of Uttarakhand, India, known primarily for the Kedarnath Temple.
• It is approximately 86 kilometres from Rudraprayag, the district headquarter.
• Kedarnath is the most remote of the four Chota Char Dham pilgrimage sites.
• It is located in the Himalayas, about 3,583 m (11,755 ft) above sea level near the Chorabari Glacier, which is the source of the Mandakini river.
• The town is flanked by snow-capped peaks, most prominently the Kedarnath Mountain.
• The nearest road head is at Gaurikund about 16 km away.
• The town suffered extensive destruction during June 2013 from the Flash Floods caused by torrential rains in Uttarakhand state