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The correct answer is William carey.

Key Points

• Serampore Mission (1800-1845):
• It was India's first Christian missionary organization.
• William Carey and his two associates established this mission on 10 January 1800.
• The Mission started preaching the message of Jesus from two places in the Hughli district.
• The first Catholic Church in this district was established at Bandel in 1599. About two hundred years later a Protestant Church was built in Serampore (1800).
• William Carey established this Church and the mission on 17 August 1761.
• It was through his initiative that the Baptist Missionary Society was formed. On 24 April 1800, the Serampore Mission Church was inaugurated.
• Carey became the Chief Priest of the Church, while Marshman and Ward were made Assistant Priests.
• This Mission was self-supportive.
• The cost of the missionary activities was borne by Joshua Marshman, William Ward, and William Carey from their own earnings; Marshman from the schools, Ward from the Press, and Carey from his teaching job at Fort William College.

Shortcut Trick

Internal radius r = External radius − Thickness = 9 − 2 = 7 cm.

Capacity = (4/3) × (22/7) × 7³ = (4/3) × 22 × 49.

Capacity = 4312 ÷ 3 = 1437.33 cm³.

∴ The correct answer is 1437.33 cm³.

Alternate Method

Given:

External radius (R) = 9 cm

Thickness (t) = 2 cm

Formula Used:

Internal radius (r) = R − t

Volume of Sphere = (4/3)πr³

Calculations:

⇒ Internal radius (r) = 9 − 2 = 7 cm

⇒ Capacity = (4/3) × (22/7) × 7 × 7 × 7

⇒ Capacity = (4/3) × 22 × 1 × 49

⇒ Capacity = (88 × 49) ÷ 3

⇒ Capacity = 4312 ÷ 3

⇒ Capacity ≈ 1437.333...

∴ The correct answer is 1437.33 cm³.

Additional Information

Volume of a Hollow Sphere

The material volume of a hollow sphere is given by V = (4/3)π(R³ − r³), where R is external and r is internal radius.

Surface Area of a Sphere

The total surface area of a solid sphere is 4πr².

Volume of a Hemisphere

The capacity of a hemispherical bowl is exactly half of a sphere: V = (2/3)πr³.

Shortcut Trick

Total Marked Price = 20 × 750 = ₹15,000.

Successive Discounts: First 20% then flat ₹500.

Price after 20% discount = 15,000 × (80 ÷ 100) = ₹12,000.

Final Total SP = 12,000 − 500 = ₹11,500.

Final SP per shirt = 11,500 ÷ 20 = ₹575.

∴ The correct answer is ₹575.

Alternate Method

Given → Quantity = 20, Marked Price (MP) per unit = ₹750, Percentage Discount = 20%, Cash Discount = ₹500. Formulas: Total MP = MP per unit × Quantity | SP = MP × (100 − D%) ÷ 100 | Final SP = SP after % discount − Flat Discount.

⇒ Total MP = 20 × 750 = ₹15,000. ⇒ SP after 20% discount = 15,000 − (20% of 15,000) = 15,000 − 3,000 = ₹12,000. ⇒ Final Total SP after ₹500 cash discount = 12,000 − 500 = ₹11,500. ⇒ Final SP per shirt = 11,500 ÷ 20 = ₹575.

∴ The correct answer is ₹575.

Additional Information

Marked Price & Selling Price

Marked price is the price printed on the label. Discount is always calculated on the Marked Price unless stated otherwise. SP = MP − Discount.

Successive Discounts

When multiple discounts are applied, the second discount is applied to the value obtained after the first discount. In this case, a percentage discount was followed by a flat cash discount.

The correct answer is 'Only iii'.

Key Points

• Sodium hydroxide is a highly versatile substance and is a co-product of chlorine production.
• It is also known as caustic soda. It is represented as NaOH.
• It is one of the common alkalis or bases.
• It is used for various purposes in daily life, as it is a strong base.

Additional Information

• Uses of sodium hydroxide:
• It is used in the manufacturing of detergents and soaps.
• It is used in the production of bleach-like chlorine.
• It is used in drain cleaners.
• It is used in the removal of heavy metals from the water by the municipal water treatment facility.
• It is used in food preservatives to prevent bacteria and mould growth.
• It is used for canning.
• It is used in **papermaking and paper recycling.**​

Decoding the information, 

Given:

(102 D 17) B (5 A 3)

After replacing the signs from left to right and using the BODMAS rule,

= (102 ÷ 17) + (5 x 3)

= 6 + (5 x 3)

= 6 + 15

= 21

Hence, “21” is the correct answer.

Shortcut Trick The empirical relation is Mode = 3 Median − 2 Mean. Since the Mean is the same for both sets, the difference in Modes depends only on the difference in Medians. Difference in Modes = 3 × (Difference in Medians) − 2 × (Difference in Means) Mode B − Mode A = 3 × (Median B − Median A) − 0 Mode B − Mode A = 3 × (2 Median A − Median A) = 3 Median A ∴ The correct answer is Mode B − Mode A = 3 median A.

Alternate Method Given: Mean A = Mean B = X Median B = 2 × Median A Formula used: Mode = 3 Median − 2 Mean

⇒ Mode A = 3 Median A − 2X ⇒ Mode B = 3 Median B − 2X ⇒ Substitute Median B = 2 Median A in the equation for Mode B: ⇒ Mode B = 3(2 Median A) − 2X = 6 Median A − 2X ⇒ Subtracting Mode A from Mode B: ⇒ Mode B − Mode A = (6 Median A − 2X) − (3 Median A − 2X) ⇒ Mode B − Mode A = 6 Median A − 3 Median A − 2X + 2X ⇒ Mode B − Mode A = 3 Median A ∴ The correct answer is Mode B − Mode A = 3 median A.

Additional Information Empirical Relationship For a moderately skewed distribution, the relationship between measures of central tendency is given by: Mode = 3 Median − 2 Mean. Symmetric Distribution In a perfectly symmetrical distribution (like the Normal Distribution), the Mean, Median, and Mode are all equal (Mean = Median = Mode). Positively Skewed Distribution In a positively skewed distribution, the values usually follow the order: Mean > Median > Mode. Negatively Skewed Distribution In a negatively skewed distribution, the values usually follow the order: Mean < Median < Mode.

The correct answer is 'To storage organs of roots, seeds, fruits and growing regions'.

Key Points

• In plant transport system no heart, no blood, and no other circulatory system, but plants do need a transport system to move food, water, and minerals around.
• They use two different systems then xylem moves water and solutes from the roots to the leaves and phloem moves food substances from leaves to the rest of the plant ( roots, seeds, fruits and growing regions**)**, then phloem is the transporting system of food to the plants.

Additional Information 

• The phloem transports food materials to the following parts of the plant:
• Roots:
• Sugars and other organic compounds produced in the leaves are transported to the roots through the phloem.
• These nutrients are essential for the growth and metabolism of root tissues.
• Shoots and Stems:
• Phloem carries sugars and other organic substances from the leaves to the stems and shoots of the plant.
• These nutrients are utilized for growth, maintenance, and various metabolic processes in these plant parts.
• Flowers:
• Phloem transports sugars and other necessary compounds to the developing flowers.
• These nutrients are crucial for flower development and the production of seeds and fruits.
• Fruits:
• As the fruits develop, the phloem transports sugars from the leaves to the fruiting structures.
• This process ensures the availability of energy and nutrients for fruit growth and maturation.

The correct answer is 'least, more'.

Key Points

• When light passes through a medium like fog or smoke, it interacts with particles present in the medium.
• This interaction can cause scattering of the light.
• The extent of scattering depends on the wavelength of the light.
• In general, shorter wavelengths (such as blue and violet) are scattered more easily than longer wavelengths (such as red and orange).
• This phenomenon is known as Rayleigh scattering.
• The scattering of shorter wavelengths is responsible for the blue color of the sky during the day.

Additional Information

• In the case of fog or smoke, which consist of tiny particles.
• The shorter wavelengths (blue and violet) are scattered more efficiently.
• While the longer wavelengths (red and orange) are scattered less.
• As a result, the red color appears less scattered and can penetrate through fog or smoke more effectively than other colors.

Given:

 

 

Given code - GRAVITY

Here  the Rule number 3 is applied in the given code. i.e.  If both the third and the fifth elements are vowels, the fifth element is to be coded as the code for the third element and vice-versa.

Hence, code for GRAVITY is “5038964”.

The correct answer is Geomorphology.

Key Points

• Geomorphology ( study of earth’s form and structure):
• Geomorphology is the scientific study of the origin and evolution of topographic and bathymetric features created by physical, chemical or biological processes operating at or near Earth's surface.
• Geomorphologists seek to understand why landscapes look the way they do, to understand landform and terrain history and dynamics and to predict changes through a combination of field observations, physical experiments and numerical modeling.

Additional Information

• Branches in Physical Geography are numerous but they can be broadly categorized into five which are**:**
• Biogeography ( study of plant and animal life and processes)
• Climatology (study of long-term weather called climate and its effects on life)
• Hydrology (study of all forms of water underground, over-ground and in the cloud)
• Pedology ( the study of soils)