Search Previous Year Questions

The correct answer is B.

• ​Ajanta caves are located in the Aurangabad district of Maharashtra, which was built in the second century BC.
• Around 29 rock-cut 'Buddhist caves' have been made in these caves.
• Ajanta caves are one of the finest examples of Buddhist architecture, cave painting, and sculpture painting.
• These paintings on the walls and ceilings of the caves depict various incidents of the life of Lord Buddha and various Buddhist deities.
• These caves are built in the shape of huge horseshoes by cutting the mountain.
• Ajanta caves were included in the list of World Heritage Site by UNESCO in the year 1983.
• It is believed that these caves were constructed during two different periods 'Satavahana and Vakataka'.

Given:

Namrata Time taken

Walking + vehicle = 4 hrs 15 mins

Both ways walking = 5 hrs 30 mins

Calculation:

Namrata time taken for walking for one ways

⇒ (5 hrs 30 mins)/2

⇒ 2 hrs 45 mins

Namrata time taken from vehicle for one ways

⇒ (4 hrs 15 mins) - (2 hrs 45 mins)

⇒ 1 hrs 30 mins

Namrata time taken from vehicle for both ways

⇒ (1 hrs 30 mins) × 2

⇒ 3 hrs.

∴ Namrata time taken from vehicle for both ways is 3 hrs.

The correct answer is C.

Key Points

• Muhammad Ghori was defeated in 1178 by Bhimdev Solanki II, the Chalukya Vanshi king of Gujarat.
• Bhimdev I was the ruler of the Solanki dynasty of Gujarat.
• It ruled Vadnagar from 1021-1073 AD.
• Bhimdev II was the last king of the Rajputs of Gujarat and Chaulkya (Solanki). After this, his minister Lavanaprasad replaced the 'Baghel dynasty' in Gujarat.

Additional Information

• Kulottung Chola I was the eminent ruler of the Chola kingdom of South India.
• He was the son of Chalukyanresh Rajraj Narendra of Vengi.
• Kulottung Chola II was the grandson of Kulottung (I) and the son of Vikram Chola.

Given:

Product of two numbers = 1568

LCM = 56

Formula used:

Product of two numbers = LCM × HCF

Calculation:

Product of two numbers = LCM × HCF

⇒ HCF × 56 = 1568

⇒ HCF = 1568/56

⇒ HCF = 28

∴ The HCF is 28.

The correct answer is B.

Key Points

• The 'All India Forward Block' Party was established in 1939 by Netaji Subhash Chandra Bose.
• Subhash Chandra Bose, the great hero of the freedom movement was born on 23 January 1897.
• His famous slogan was 'You give me blood, I'll give you freedom'.
• The Indian National Congress is a major political party in India and was established in 1885 in Bombay.

Additional Information

• Samajwadi Party is active in Uttar Pradesh. It was established on October 8, 1992.
• Samajwadi Party founder and patron are Mulayam Singh Yadav.​

Given:

Sample size = 60

\(\sum x^2=18000, \ \sum x=960\)

Formula used:

\({\rm{Variance;}} = {\rm{;}}\frac{1}{{\rm{n}}}\sum {{\rm{x}}^2}; - ;{\left( {\frac{{\sum {\rm{x}}}}{{\rm{n}}}} \right)^2}\)

Where, 

n = sample rate

Calculation:

Variance

⇒ (1/60) × 18000 - (960/60)²

⇒ 300 - (16)²

⇒ 300 - 256

⇒ 44

∴ The variance is 44.

The incorrect pair is Biology: Botany.

Key Points

• Ornithology:
• Ornithology is a branch of zoology that concerns the "methodological study and consequent knowledge of birds with all that relates to them". Hence, pair A is correct.
• Mycology:
• It is the branch of biology concerned with the study of fungi, including their genetic and biochemical properties, their taxonomy, and their use to humans as a source for tinder, traditional medicine, food, and entheogens, as well as their dangers, such as toxicity or infection. Hence, pair B is correct.
• Phycology:
• It is the scientific study of algae.
• Also known as algology, phycology is a branch of life science. Hence, pair D is correct.

Confusion Points

• Biology:
• ​It is the natural science that studies life and living organisms, including their physical structure, chemical processes, molecular interactions, physiological mechanisms, development, and evolution.
• Botany:
• It is also called plant science, plant biology, or phytology is the science of plant life and a branch of biology.

Hence, pair c is incorrect.

The correct answer is C.

Key Points

• Nitrous oxide, known as laughing gas, is used as an anesthetic by dentists.
• The chemical formula is N ₂O.
• It is a colorless non-flammable gas, with a slight metallic scent and taste at room temperature,
• Nitrous oxide can be used to treat pain. It also functions as a mild sedative.
• Nitrogen is represented by the "N" symbol, which is present in abundant quantity (78%) in the environment.

Additional Information

• Oxygen is colorless, tasteless, and odorless gas.
• In 1682 AD 'Carl Scheele' prepared oxygen gas by heating potassium nitrate.
• Chlorine is a chemical element, which has an atomic number of "17" and the symbol "Cl".
• Chlorine was discovered by "Shale" in 1774.

Given:

\(\sin A = \dfrac{15}{17}\) and \(\sin B = \dfrac{7}{25}\)

Formula used:

sin(A - B) = sinAcosB - cosAsinB

Calculation:

\(\sin A = \dfrac{15}{17}\), then \(\cos A = \dfrac{8}{17}\)

\(\sin B = \dfrac{7}{25}\), then \(\cos B = \dfrac{24}{25}\)

sin(A - B) = sinAcosB - cosAsinB

⇒ (15/17) × (24/25) - (8/17) × (7/25)

⇒ (72/85) - (56/425)

⇒ (360 - 56)/425

⇒ 304/425

∴ The value of sin(A - B) is 304/425.

The correct answer is A.

Key Points

• The blue and white are used for tsunami warning signs in New Zealand.
• Colors can be divided into three parts - Primary color or base color, a secondary color, and anti-color.
• Primary colors or basic colors are colors that cannot be obtained by mixing, such as red, blue, and green.
• Secondary colors are colors that are obtained by mixing two primary colors.
• The colors that are formed by mixing primary and secondary colors are called opposing colors.
• For example, the opposing color of blue is 'yellow', and the opposing color of purple is 'parrot color'.