RRC Group D Previous Year Paper 37 (Held On: 9 Oct 2018 Shift 3)

The mirror image of the above figure with respect to the line AB is,

Hence, option 4 is the correct answer.

By decoding given information:

The given equation is,

40K5Q6J2T13

Replacing the alphabets with signs,

40 ÷ 5 + 6 × 2 - 13 =?

Using BODMAS rule,

8 + 6 × 2 - 13 =?

8 + 12 - 13 =?

20 - 13 = 7

Hence, “7” is the correct answer.

The least possible Venn diagram is as follows,

Conclusion 1: All elements are mountains → False (This is definitely false)

Conclusion 2: All elements are Metal → False (This is definitely false)

Hence, “Neither 1 nor 2” follow.

According to the given information,

Conclusion I: This does not follow, because it is not mentioned that the tailor offers home delivery.

Conclusion II: This follows, since the tailor had delayed the order, he offered home delivery.

Hence, “only conclusion II” follows.

• In a molecule of water, hydrogen and oxygen are present in the ratio 2:1(H:O).
• Two atoms of hydrogen combine with one atom of oxygen to form water.
• Hydrogen was discovered by Henry Cavendish in 1766.
• Oxygen was discovered by Carl Wilhelm Scheele in 1771.
• Oxygen was named by Antoine Lavoisier in 1777.

Shortcut Trick

In ΔACD, exterior angle ∠ACB = ∠CAD + ∠ADC = 72°.

Since AC = CD, then ∠CAD = ∠ADC = 72° ÷ 2 = 36°.

∠BAC = ∠BAD − ∠CAD = 109° − 36° = 73°.

In ΔABC, ∠ABC = 180° − (∠BAC + ∠ACB) = 180° − (73° + 72°) = 35°.

∴ The correct answer is 35°.

Alternate Method

Given: ∠BAD = 109°, ∠ACB = 72°, and AC = CD.

Formula Used: Sum of angles in a triangle = 180°; Exterior Angle Theorem; Isosceles Triangle Property (angles opposite to equal sides are equal).

⇒ In ΔACD, side BC is extended to D, so ∠ACB is the exterior angle at vertex C.

⇒ ∠ACB = ∠CAD + ∠ADC (Exterior angle theorem)

⇒ 72° = ∠CAD + ∠ADC

⇒ Since AC = CD, ∠CAD = ∠ADC (Angles opposite to equal sides)

⇒ 2 × ∠CAD = 72° ⇒ ∠CAD = 36°

⇒ Given ∠BAD = 109°, we have ∠BAC + ∠CAD = 109°

⇒ ∠BAC + 36° = 109° ⇒ ∠BAC = 73°

⇒ In ΔABC, ∠ABC + ∠BAC + ∠ACB = 180° (Angle sum property)

⇒ ∠ABC + 73° + 72° = 180°

⇒ ∠ABC + 145° = 180°

⇒ ∠ABC = 180° − 145° = 35°

∴ The correct answer is 35°.

Additional Information

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

Isosceles Triangle Theorem

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Angle Sum Property

The sum of the interior angles of any triangle is always 180°.

The pattern followed is,

M, N and O are alphabets.

Whereas,

‘ᶯ’ is not an alphabet. It is a symbol.

Hence, option 2 is the odd one.

• Reserve Bank of India (RBI) launched Financial Literacy Week in June 2018 across the country with customer protection as the main theme.
• The event focused on creating awareness among customers of banks about financial products and services.
• Recently, RBI launched a mobile app “Mobile Aided Note Identifier (MANI)” for aiding visually impaired persons to identify the denomination of Indian Banknotes.
• RBI Founded on 1st April 1935.
• Headquarters: Mumbai.
• Current RBI Governor: Shaktikanta Das.

The pattern followed is,

The dots present around the line are opposite to each other in figures A, B and D.

Whereas,

In figure C, they are adjacent to each other.

Hence, option 2 is the odd one.

The correct answer is S Vijayalakshmi.

Key Points

• Subbaraman Vijayalakshmi is the first female Indian Grandmaster in Chess.
• In 2001, she became the first Indian to achieve the title of Woman Grandmaster (WGM).
• Subbaraman Vijayalakshmi holds the FIDE titles of International Master and Woman Grandmaster,
• In 2001 the Indian government gave her the Arjuna Award.
• Viswanathan Anand was the first grandmaster in chess from India in 1988.

Additional Information

Shortcut Trick

Let Total Work be LCM(18, 21) = 126 units.

Efficiency of (A + B) = 126 ÷ 18 = 7 units/day.

Efficiency of A = 126 ÷ 21 = 6 units/day ⇒ Efficiency of B = 7 − 6 = 1 unit/day.

B worked for all 27 days, completing 27 × 1 = 27 units.

Remaining work done by A = 126 − 27 = 99 units. Days A worked = 99 ÷ 6 = 16.5 days.

Days before completion A left = 27 − 16.5 = 10.5 days.

∴ The correct answer is 10.5 days.

Alternate Method

Efficiency Calculation:

⇒ Efficiency of B = Efficiency of (A + B) − Efficiency of A

⇒ Efficiency of B = 7 − 6 = 1 unit/day

Work Distribution:

⇒ Total duration of work = 27 days

⇒ Work done by B in 27 days = 27 × 1 = 27 units

⇒ Work done by A = Total Work − Work by B = 126 − 27 = 99 units

⇒ Time for which A worked = 99 ÷ 6 = 16.5 days

⇒ Days before completion A left = Total days − Days A worked = 27 − 16.5 = 10.5 days

∴ The correct answer is 10.5 days.

Additional Information

Work and Efficiency

Total Work = Efficiency × Time. Efficiency is inversely proportional to the time taken to complete a task.

Leaving Before Completion

If a person leaves 'n' days before completion, the total work can be expressed as: (Total Time − n) × (Efficiency of leaver) + (Total Time) × (Efficiency of person who stays).

LCM Method

Using the Least Common Multiple of individual time periods as the total work unit simplifies fractional calculations into whole numbers.

The correct answer is Option 2, i.e Velocity.

• The kinetic energy of an object increase with its velocity.
• The kinetic energy of an object is the energy it has because of its motion.
• Kinetic Energy=${1\over 2} mv^2$
• m → Mass of the object.
• v→  Velocity of the object.
• As per equation, the kinetic energy of an object is directly proportional to the square of its speed.
• When we double the velocity, energy increases by a factor of four.

• Jasvir Singh is an Indian professional Kabaddi player.
• Member of the India national kabaddi team that won the Asian Games Gold medal in 2014 and the World Cup in 2016.
• He awarded the Arjuna award in 2017.
• From 2018 onwards, he is playing for Tamil Thalaivas in the Pro Kabaddi League.

Given:

Percentage expense of Leela on compost = 40%

Amount spent on compost = Rs. 750

Percentage expense of Leela on new plants = 20%

CONCEPT:

Percentage expense on new plants is half of the percentage expense of on compost, i.e. 20%

CALCULATION:

40% = 750

⇒ 1% = 750 / 40

⇒ 20% = 18.75 × 20 = Rs. 375

• The Magahi language, also known as Magadhi, is a language spoken in Bihar, Jharkhand of eastern India.
• Magahi is an Indo-Aryan language.
• The name Magahi is derived from the word ‘Magadhi’ which was the popular name of the eastern dialect of Apbhransha, fully known as Magadhi Apbhransha.
• It is believed to be the language spoken by Gautama Buddha.
• It was the official language of the Mauryan court.
• Magadhi was legally absorbed under Hindi in the 1961 Census.

According to the given information,

Assumption I: This is implicit, because of the late arrival, flight will be missed.

Assumption II: This does not follow, because nothing is mentioned about the traffic in the airport route.

Hence, “only assumption I” is implicit.

• M. Subbarayudu has been appointed as the Ambassador of India to the Plurinational State of Bolivia.
• Subbarayudu also the ambassador of India to Lima.
• Bolivia is named after Simón Bolívar, a Venezuelan leader in the Spanish American wars of independence.
• Capital of Bolivia is officially Sucre, while leaving the executive and legislative branches in La Paz.
• Interim president of Bolivia: Jeanine Anez.

• Mehbooba Mufti, the ex-Chief Minister of Jammu and Kashmir, belongs to which Jammu and Kashmir Peoples Democratic Party.
• She served as the Chief Minister of Jammu and Kashmir from 4 April 2016 to 19 June 2018.
• She was the first and the last woman to hold the office of the Chief Minister in the state Jammu and Kashmir.
• She contested in 2019 Lok Sabha elections from Anantnag seat but lost it to Hasnain Masoodi of National Conference.
• The State of Jammu and Kashmir translated into two Union Territories of J&K and Ladakh on October 31, 2019.

The correct answer is Option 3, i.e Sanskrit.

• The language used in the Upanishads is Sanskrit.
• The Upanishads are ancient Sanskrit texts of spiritual teaching and ideas of Hinduism.
• The Sanskrit term Upaniṣhad translates to "sitting down near", referring to the student sitting down near the teacher while receiving spiritual knowledge.
• The Upanishads are commonly referred to as Vedanta.
• Around 108 Upanishads are known.
• The words 'Satyameva Jayate' inscribed below the base plate of the emblem of India are taken from Mundak Upanishad.
• "Tamaso ma jyotir gamaya" is taken from Brihadaranyaka Upanishad.

The number of triangles in the given figure is,

Hence, “21” is the correct answer.

The correct answer is Ethane.

• Ethane is a saturated hydrocarbon among given options.

Key Points

• Saturated hydrocarbons are molecules with only single bonds.

 - Ethane

 - Ethene

• Propene

• Acetylene

• Only ethane has all single bond while others have a double and triple bond.

• Methane, Ethane, Propane, Butane, etc are examples of saturated hydrocarbons.

• Alkanes are saturated hydrocarbons and classified as a type of aliphatic hydrocarbon.

• Bonding between every single bond in a saturated hydrocarbon is covalent in nature**.**

Additional Information

• Unsaturated hydrocarbons contain multiple bonding and contain less than the maximum number of hydrogens per carbon.
• Unsaturated hydrocarbons have double or triple covalent between adjacent carbon atoms.
• Aromatic hydrocarbons are a special case of unsaturated hydrocarbons.

• Kiran Kanojia is popularly known as India's first female blade runner.
• Kiran Kanojia is an Indian para-athlete.
• Kanojia won her first medal at Hyderabad Airtel Marathon In 2014.
• She was selected as one of 12 "sporting superheroes" who featured in a calendar published in 2017 by Mission Smile.
• Winner of Women Transforming India Award 2017, organized by the United Nations and NITI Aayog.

Given that,

Mass(m) = 15 Kg.

Velocity(v) = 2 ms^-1.

Using the equation of Kinetic energy,

Kinetic Energy= ${1\over2} mv^2$

Kinetic Energy= ${1\over2} \times15 \times 2^2 = {60 \over 2}= 30 \ J$

The kinetic energy possessed by the object will be 30 J.

Pessimist is the antonym of Optimist.

Similarly,

The antonym of Success is Failure.

“Failure” is related to the third term in the same way as the second term is related to the first term.

Hence, “failure” is the correct answer.

Shortcut Trick

Ratio of Efficiency (Fast : Slow) = 6 : 1

Total efficiency = 6 + 1 = 7 units/min

Total Capacity of tank = Total efficiency × Time = 7 × 22 = 154 units

Time taken by Fast pipe = 154 ÷ 6 = 25.66 min

∴ The correct answer is 25.66 min.

Alternate Method

Given:

Combined time for both pipes = 22 minutes

Efficiency of Fast pipe is 6 times that of Slow pipe.

Calculations:

⇒ Let efficiency of slow pipe = x

⇒ Efficiency of fast pipe = 6x

⇒ Combined efficiency = x + 6x = 7x

⇒ Total capacity of tank = Combined efficiency × Combined time

⇒ Total capacity = 7x × 22 = 154x

⇒ Time for fast pipe = Total capacity ÷ Efficiency of fast pipe

⇒ Time = 154x ÷ 6x = 154 ÷ 6

⇒ Time = 25.666... ≈ 25.66 min

∴ The correct answer is 25.66 min.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken to complete a task. If efficiency ratio is a:b, then time ratio is b:a.

Combined Work Formula

If two pipes fill a tank in T₁ and T₂ time, then combined time T = (T₁ × T₂) ÷ (T₁ + T₂).

Pipes and Cisterns Basics

Filling pipes are considered positive work, while leakage or outlet pipes are considered negative work.

GIVEN:

Fraction value = 4.8 / 125

CALCULATION:

4.8 / 125

⇒ 384 / 10000 i.e 0.0384

∴ 4.8 / 125 = 0.0384

The correct answer is Option 3.

Key Points

• The gravitational force between two bodies is always attractive.
• The gravitational force is a force that attracts any two objects with mass.
• Gravitational force is the weakest of all the forces in the universe.
• The acceleration of gravity on the surface of the earth at sea level is 9.8 ms^-2.
• The value of the acceleration due to gravity, on the moon, is 1.625 ms^-2.
• The value of acceleration due to gravity at the center of the earth is zero.
• Newton's law of universal gravitation states that every point mass in the universe attracts every other point mass with a force that is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them.
• The value of gravitational constant G is 6.673×10-11 N m² kg^-2

Shortcut Trick

Difference in Profit Percentage = 10% − 5% = 5%.

This 5% difference in Selling Price corresponds to Rs. 30.

Using Unitary Method: If 5% ⇒ Rs. 30, then 1% ⇒ 30 ÷ 5 = Rs. 6.

Total Cost Price (100%) ⇒ 6 × 100 = Rs. 600.

∴ The correct answer is Rs. 600.

Alternate Method

Given: Profit₁ = 5%, Profit₂ = 10%, Difference in SP = Rs. 30.

Formulas: SP = CP × (100 + Profit%) ÷ 100 | Difference = SP₂ − SP₁

⇒ Let the Cost Price (CP) be Rs. x.

⇒ SP₁ at 5% profit = x × (105 ÷ 100) = 1.05x.

⇒ SP₂ at 10% profit = x × (110 ÷ 100) = 1.10x.

⇒ Difference = 1.10x − 1.05x = 0.05x.

⇒ Given 0.05x = 30.

⇒ x = 30 ÷ 0.05 = 3000 ÷ 5 = 600.

∴ The correct answer is Rs. 600.

Additional Information

Cost Price vs Selling Price

When an article is sold at a profit, SP = CP + Profit. When it is sold at a loss, SP = CP − Loss.

Profit Percentage Difference

If two different profit percentages P₁% and P₂% are given on the same CP, the difference in SP is simply (P₂ − P₁)% of the CP.

• A plasma material glows with a special colour depending on the nature of the gas.
• Plasma is the 4th state of matter.
• Plasma was first described by chemist Irving Langmuir.
• Fluorescent tube and neon sign bulbs consist of plasma.
• Stars (including the Sun) are mostly made of plasma.
• It consists of super-energetic and super-excited particles.

• You Only Need One (YONO) is the path-breaking comprehensive digital product of SBI, which was developed using the world's latest digital technologies.
• YONO is an integrated Omni-channel digital platform that offers just about everything related to financial services and lifestyle products.
• Initial release date: 24 November 2017.
• Launched by former Finance Minister of India, Arun Jaitley.
• SBI is ranked 236th in the Fortune Global 500 list of the world's biggest corporations of 2019.
• Chairman of SBI: Rajnish Kumar.
• Headquarters: Mumbai.

The pattern followed is,

The figure is rotated anti clock – wise by one place.

All follow the same pattern, except figure D, in which the arrow is facing inside.

Hence, option 2 is the odd one.

• China is not a democratic country in the given options.
• Only the Communist Party is allowed to rule in China (democracy is not followed in the real sense.)
• China is officially called the People's Republic of China.
• It is the world's most populous country, with a population of around 1.4 billion in 2019.
• China's political system was based on hereditary monarchies, or dynasties.
• Beijing is the capital of China.
• Xi Jinping is the Party General Secretary and President of China.

According to the given information,

Assumption I: This is implicit because it is mentioned that the teacher asked the student to include some steps to bring elegance, it means the student is not dancing with elegance.

Assumption II: This is not implicit, because it is not mentioned that every teacher dances elegantly.

Hence, “only assumption I is implicit."

Drawing the diagram according to the given information,

The direction of minute’s hand is towards the north.

Hence, “north” is the correct answer.

CALCULATION:

Considering the given statement

$\frac{1}{2} + \frac{1}{6} + \frac{1}{{12}} + \frac{1}{{20}} + \frac{1}{{30}} + \frac{1}{{42}}$

Adding the statement we get,

$\frac{1}{2} + \frac{1}{6} + \frac{1}{{12}} + \frac{1}{{20}} + \frac{1}{{30}} + \frac{1}{{42}}; = \frac{6}{7}$

Alternate Solution:

LCM of 2,6,12,20,30,42 is 420

$\frac{210}{2\times 210} + \frac{70}{6\times 70} + \frac{35}{{12\times 35}} + \frac{21}{{20\times 21}} + \frac{14}{{30\times14}} + \frac{10}{{42\times10}};$

(210 + 70 + 35 + 21 + 14 + 10)/420

⇒ 360/420

⇒ 6/7

Alternate Method

 $\frac{1}{2} + \frac{1}{6} + \frac{1}{{12}} + \frac{1}{{20}} + \frac{1}{{30}} + \frac{1}{{42}}$

$⇒ \frac{1}{1 ;\times;2} + \frac{1}{2 ;\times ;3} + \frac{1}{{3;\times;4}} + \frac{1}{{4;\times ;5}} + \frac{1}{{5 ;\times;6}} + \frac{1}{{6; \times ; 7}}$

$⇒ \frac{1}{1}; -; \frac{1}{2}; +; \frac{1}{2}; -; \frac{1}{3}; +; \frac{1}{3}; -; \frac{1}{4}; +; \frac{1}{4}; -; \frac{1}{5}; +; \frac{1}{5}; -; \frac{1}{6}; +; \frac{1}{6}; -; \frac{1}{7}; = ;?$

⇒ (1/1) - (1/7) = ?

⇒ 6/7 = ?

∴ The value of ? is 6/7.

The number of triangles in the given figure is,

Hence, “16” is the correct answer.

Concept:

Gymnosperms:

• They have specialized tissue for the conduction of water.
• The gymnosperms are naked seed-bearing plants that include conifers, Ginkgo, and gnetophytes.
• The word Gymnosperms literally means "naked seeds".
• Both the xylem and phloem are present in the gymnosperms.
• The xylem conducts water and minerals from the roots to the rest of the plant and also provides structural support.

Correct Answer Alauddin Khilji

Key Points:

• Amir Khusro was a famous musician in the court of Alauddin Khalji (Lived in the courts of as many as 7 different rulers of the Delhi Sultanate)
• .Amīr Khusrau was a Sufi singer, poet, and scholar from India.
• Khusrau is also referred to as the "Voice of India" or "Parrot of India"
• Sitar is said to have been invented by Amir Khusrow.
• His work Khaliq-e-bari, which is known as the oldest printed dictionary in the world deals with Hindi and Persian words.

The mirror image of the given figure is,

Hence, option 3 is the correct answer.

• The first major port comissioned in independent India in the east coast was the Paradip port in Odisha.
• It was commissioned in 1966.

GIVEN:

Arrival numbers are given in graph:

Sunday = 8

Saturday = 13

Friday = 18

Thursday = 16

Wednesday = 15

Tuesday = 12

Monday = 14

CALCULATION:

Friday = 18 has the maximum arrival.

Shortcut Trick

Group the whole numbers and decimals separately.

Whole numbers: 23 + 3 + 33 + 333 + 3 = 395

Decimal part: 0.33

Total = 395 + 0.33 = 395.33

∴ The correct answer is 395.33.

Alternate Method

Given: 23, 3, 33, 333, 3.33

Method: Column Addition (Align by decimal point)

⇒ 23.00

⇒ 03.00

⇒ 33.00

⇒ 333.00

⇒ 03.33

⇒ Sum = 395.33

∴ The correct answer is 395.33.

Additional Information

BODMAS Rule

Always follow the order of operations: Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

Decimal Alignment

When adding or subtracting decimal numbers, always align the numbers vertically by their decimal points to avoid place value errors.

Simplification Shortcut

For series like 3 + 33 + 333, use the formula 3/9 × (10ⁿ⁺¹ − 10 − 9n) for quick summation if applicable.

The pattern followed here is,

Hence, “360R” is the correct answer.

Shortcut Trick

Using the Alligation Method, the ratio of Boys to Girls is:

(17 − 15.8) : (15.8 − 15) = 1.2 : 0.8 = 3 : 2

Since 3 units correspond to 24 boys, 1 unit = 8.

The number of girls (2 units) = 2 × 8 = 16.

Total Students = 24 + 16 = 40.

∴ The correct answer is 40 students.

Alternate Method

Given:

Number of boys = 24 | Mean score of boys = 15

Mean score of girls = 17 | Overall average = 15.8

Formula Used:

Overall Average = [(n₁ × x₁) + (n₂ × x₂)] ÷ (n₁ + n₂)

Calculations:

Let the number of girls be n.

⇒ 15.8 = [(24 × 15) + (n × 17)] ÷ (24 + n)

⇒ 15.8 × (24 + n) = 360 + 17n

⇒ 379.2 + 15.8n = 360 + 17n

⇒ 17n − 15.8n = 379.2 − 360

⇒ 1.2n = 19.2

⇒ n = 19.2 ÷ 1.2 = 16

⇒ Total number of students = 24 + 16 = 40

∴ The correct answer is 40 students.

Additional Information

Weighted Average Principle

When two groups with averages A₁ and A₂ are mixed, the combined average lies between A₁ and A₂.

Alligation Rule

Ratio of quantities = (Higher Value − Mean) : (Mean − Lower Value). This is a shortcut for weighted average problems.

Mean Stability

The sum of deviations of all observations from their mean is always zero: ∑(x_i − Mean) = 0.

Shortcut Trick

Directly substitute ∠A = 30° into the expression: sin² 30° − cos² 30° + tan² 30°.

Value substitution: (1/2)² − (√3/2)² + (1/√3)²

Calculation: 1/4 − 3/4 + 1/3 = − 2/4 + 1/3 = − 1/2 + 1/3 = − 1/6.

∴ The correct answer is − 1/6.

Alternate Method

Given: In triangle ABC, ∠B = 90° and ∠A = 30°.

Formula Used: Standard trigonometric values: sin 30° = 1/2, cos 30° = √3/2, tan 30° = 1/√3.

The expression to evaluate is sin² A − cos² A + tan² A.

⇒ Expression = (sin 30°)² − (cos 30°)² + (tan 30°)²

⇒ Expression = (1/2)² − (√3/2)² + (1/√3)²

⇒ Expression = 1/4 − 3/4 + 1/3

⇒ Expression = (1 − 3)/4 + 1/3

⇒ Expression = − 2/4 + 1/3

⇒ Expression = − 1/2 + 1/3

⇒ Expression = (− 3 + 2)/6

⇒ Expression = − 1/6

∴ The correct answer is − 1/6.

Additional Information

Trigonometric Identities

Fundamental identities include sin²θ + cos²θ = 1 and 1 + tan²θ = sec²θ.

Double Angle Relation

The term (sin²A − cos²A) is equal to − (cos²A − sin²A), which simplified is − cos 2A.

Standard Values at 30°

For θ = 30°: sin θ = 0.5, cos θ = 0.866, tan θ = 0.577.

• Monohybrid cross comprises only one pair of contrasting character.
• A monohybrid cross is a cross between two organisms with different variations at one genetic chromosome of interest.
• In a monohybrid cross, each parent is chosen to be homozygous or true breeding for a given trait.
• Monohybrid cross is responsible for the inheritance of one gene.
• Gregor Mendel theorized the basic rules of inheritance.

According to the given information,

Neetha is the mother to the girl.

Hence, “mother” is the correct answer.

• Dangal won the Best Indian Film of the Year award for 2016 at the Grand Annual 62nd Jio Filmfare Awards.
• The grand Annual 62nd Jio Filmfare Awards event organized by the Filmfare magazine was held in Mumbai, Maharashtra.
• Neerja and Kapoor & Sons won 5 awards each and became the film winning the highest number of awards.
• Best Actor: Aamir Khan (Dangal).
• Best Actress: Alia Bhatt (Udta Punjab).
• Best Director: Nitesh Tiwari (Dangal).
• Film Pink won the National Film Award(2017) for Best Film on Other Social Issues.

In the given figure there are two arrows and a circle.

In image C also there are two arrows and a circle.

Whereas,

The other figures are different.

Hence, option 3 resembles the given image.

Shortcut Trick Ratio of Cost Price (CP) to Selling Price (SP) = 800 : 1000 = 4 : 5. Profit in ratio units = 5 − 4 = 1 unit. Gain percentage = (Profit ÷ CP) × 100 = (1 ÷ 4) × 100 = 25%. ∴ The correct answer is 25%.

Alternate Method Given: Cost Price (CP) = Rs. 800, Selling Price (SP) = Rs. 1,000. Formulas: Profit = SP − CP | Profit% = (Profit ÷ CP) × 100

⇒ Profit = 1,000 − 800 = Rs. 200. ⇒ Gain Percentage = (200 ÷ 800) × 100. ⇒ Gain Percentage = (1 ÷ 4) × 100 = 25%. ∴ The correct answer is 25%.

Additional Information Profit and Loss Basics Profit occurs when SP > CP. Loss occurs when CP > SP. Both percentages are always calculated on the Cost Price unless stated otherwise. Fraction Conversion Common fractions like 1/4 = 25%, 1/5 = 20%, and 1/8 = 12.5% are helpful for quick calculations in Profit and Loss problems.

Shortcut Trick

Convert women to men: 21 women × (2 men / 3 women) = 14 men.

Apply M₁D₁H₁ = M₂D₂H₂ formula.

15 × 21 × 8 = 14 × D₂ × 6

D₂ = (15 × 21 × 8) ÷ (14 × 6) = 2520 ÷ 84 = 30 days.

∴ The correct answer is 30 days.

Alternate Method

Given: 15 Men (M₁), 21 Days (D₁), 8 Hours (H₁). For the second case: 21 Women (W), 6 Hours (H₂). Efficiency ratio: 3 Women = 2 Men.

Formula Used: M₁ × D₁ × H₁ × E₁ = M₂ × D₂ × H₂ × E₂

⇒ Let efficiency of a Man (E_M) be 3 and Woman (E_W) be 2 (since 3 × 2 = 2 × 3).

⇒ Total Work = 15 × 21 × 8 × 3

⇒ Work done by 21 women in D₂ days = 21 × D₂ × 6 × 2

⇒ 15 × 21 × 8 × 3 = 21 × D₂ × 6 × 2

⇒ 7560 = 252 × D₂

⇒ D₂ = 7560 ÷ 252

⇒ D₂ = 30 days

∴ The correct answer is 30 days.

Additional Information

Chain Rule Formula

Used for comparing two work scenarios: (M₁D₁H₁)/W₁ = (M₂D₂H₂)/W₂, where M is persons, D is days, H is hours, and W is work.

Efficiency Substitution

When different types of workers (Men, Women, Children) are involved, convert them to a single unit using the given work-equivalence ratio.

Inverse Proportion

Number of workers is inversely proportional to the time taken. If workers increase, days decrease, provided work remains constant.

Shortcut Trick Identify the range: 802 = 6400 and 902 = 8100. So, √7396 lies between 80 and 90. Check the unit digit: The number 7396 ends in 6, so the square root must end in 4 or 6. Possible answers are 84 or 86. Since 7396 is closer to 8100 (902) than 6400 (802), the answer is 86. ∴ The correct answer is 86.

Alternate Method Given: Number = 7396 Method: Long Division Method ⇒ Grouping the digits in pairs from right to left: 73 and 96. ⇒ Largest square less than or equal to 73 is 82 = 64. ⇒ Subtracting 64 from 73 gives 9. Bringing down the next pair 96 makes the new dividend 996. ⇒ Doubling the divisor 8 gives 16. We find a digit 'x' such that (160 + x) × x ≤ 996. ⇒ Testing x = 6: 166 × 6 = 996. ⇒ Remainder is 0, so the square root is 86. ∴ The correct answer is 86.

Additional Information Unit Digit Rule for Squares If a perfect square ends in 6, its square root must end in either 4 or 6. If it ends in 1, the root ends in 1 or 9. Perfect Square Identification A number ending in 2, 3, 7, or 8 can never be a perfect square. Estimation Method For a number N, if x2 < N < (x+1)2, the square root lies between x and x+1.

Shortcut Trick

सबसे बड़े number का वर्ग अन्य दो numbers के वर्गों के योग के बराबर होना चाहिए।

विकल्प (4) में: 17² = 289

8² + 15² = 64 + 225 = 289

चूँकि 289 = 289, यह एक Pythagorean triplet है।

∴ The correct answer is 8, 15, 17.

Alternate Method

Given: संख्या समूह (1) 15, 17, 7 (2) 9, 12, 17 (3) 12, 13, 8 (4) 8, 15, 17

Formula Used: a² + b² = c² (जहाँ c सबसे बड़ी भुजा है)

प्रत्येक विकल्प की जाँच करने पर:

⇒ विकल्प (1): 7² + 15² = 49 + 225 = 274 ≠ 17² (289)

⇒ विकल्प (2): 9² + 12² = 81 + 144 = 225 ≠ 17² (289)

⇒ विकल्प (3): 8² + 12² = 64 + 144 = 208 ≠ 13² (169)

⇒ विकल्प (4): 8² + 15² = 64 + 225 = 289 = 17² (289)

∴ The correct answer is 8, 15, 17.

Additional Information

Common Pythagorean Triplets

प्रतियोगी परीक्षाओं में अक्सर पूछे जाने वाले ट्रिपलेट्स: (3, 4, 5), (5, 12, 13), (7, 24, 25), (9, 40, 41), (20, 21, 29)।

Scaling Property

यदि (a, b, c) एक ट्रिपलेट है, तो (ka, kb, kc) भी एक Pythagorean triplet होगा, जहाँ k एक धनात्मक पूर्णांक है।

Primitive Triplet

एक ट्रिपलेट जिसमें a, b, और c का महत्तम समापवर्तक (HCF) 1 होता है, उसे Primitive Pythagorean triplet कहा जाता है।

Shortcut Trick

Age difference remains constant at 4 years.

Ratio of Najeeb’s age (N) to Piyali’s age (P) 36 years ago: 5N = 6P ⇒ N : P = 6 : 5.

Difference in ratio parts = 6 − 5 = 1 unit → 4 years.

Sum of ratio parts 36 years ago = 6 + 5 = 11 units → 11 × 4 = 44 years.

Sum of current ages = Sum then + (2 × 36) = 44 + 72 = 116 years.

∴ The correct answer is 116 years.

Alternate Method

Given: Current age difference = 4 years. 36 years ago, 5 × Najeeb’s age = 6 × Piyali’s age.

Formula Used: Age difference is constant over time. Sum of current ages = (Age N_then + 36) + (Age P_then + 36).

⇒ Let Najeeb’s age 36 years ago be N and Piyali’s be P.

⇒ N − P = 4 (Since difference never changes).

⇒ 5N = 6P ⇒ N = 6P/5.

⇒ (6P/5) − P = 4 ⇒ P/5 = 4 ⇒ P = 20 years.

⇒ N = 20 + 4 = 24 years.

⇒ Current age of Najeeb = 24 + 36 = 60 years.

⇒ Current age of Piyali = 20 + 36 = 56 years.

⇒ Sum = 60 + 56 = 116 years.

∴ The correct answer is 116 years.

Additional Information

Constant Age Difference

The difference between the ages of two people remains the same regardless of how many years pass or go back.

Ratio and Proportion in Ages

If the ratio of ages is a : b and the difference is D, then one part of the ratio is equal to D ÷ (a − b).

Sum of Ages Change

If 'n' years pass, the sum of the ages of 'k' people increases by (n × k) years.

The number of squares in the given figure is,

Hence, “50” is the correct answer.

CALCULATION:

From the given bar graph we can say that

Number of PC sold in 2005 were 15 lakhs

The correct answer is Option 4, i.e Urethra.

• In males, urethra serves as the common passage for urine and sperm to be discharged.
• It is a tube that connects the urinary bladder to the urinary meatus for the removal of the urine from the body.
• In human females and other primates, the urethra connects to the urinary meatus above the vagina.
• Females use their urethra only for urinating.
• Scrotum is the bag of skin that holds and helps to protect the testicles.
• The ureters are tubes made of smooth muscle fibers that propel urine from the kidneys to the urinary bladder.
• The vas deferens is a long, muscular tube that travels from the epididymis into the pelvic cavity, to just behind the bladder and helps to transport mature sperm to the urethra.

Shortcut Trick

Identify the Prime Factors of each number and take the highest power of all prime bases present.

64 = 2⁶

125 = 5³

108 = 2² × 3³

LCM = Max power of (2, 3, 5) = 2⁶ × 3³ × 5³

∴ The correct answer is 2⁶ × 5³ × 3³.

Alternate Method

Given: Numbers are 64, 125, and 108.

Formula Used: LCM is the product of the highest powers of all prime factors involved in the numbers.

⇒ Prime factorization of 64: 2 × 2 × 2 × 2 × 2 × 2 = 2⁶

⇒ Prime factorization of 125: 5 × 5 × 5 = 5³ ⇒ Prime factorization of 108: 2 × 2 × 3 × 3 × 3 = 2² × 3³ ⇒ Prime factors involved are 2, 3, and 5. ⇒ Highest power of 2 = 2⁶ ⇒ Highest power of 3 = 3³ ⇒ Highest power of 5 = 5³ ⇒ LCM = 2⁶ × 3³ × 5³

∴ The correct answer is 2⁶ × 5³ × 3³.

Additional Information

LCM (Least Common Multiple)

The smallest positive integer that is divisible by each of the given numbers.

HCF (Highest Common Factor)

The largest positive integer that divides each of the given numbers without a remainder. Product of lowest powers of common prime factors.

Relation between LCM and HCF

For two numbers a and b: a × b = LCM(a, b) × HCF(a, b).

The correct answer is Option 4, i.e Thallophyta, Pteridophyta and Bryophyta.

• The groups of thallophytes, bryophytes and pteridophytes are called as cryptogamae.
• They have naked embryos that are called spores.
• The reproductive organs of plants in all these three groups are not clearly visible, and they are therefore called cryptogamae.
• A Cryptogamae is a plant that reproduces by spores, without flowers or seeds.
• The meaning of Cryptogamae is "hidden reproduction".

• Option 4 is wrong here, the Shape of RBC isn't Amoeboid or circular.
• Shape of Red Blood Cells are biconcave discs with very shallow centers.
• RBC is also called erythrocytes.
• The main function of RBC is the transportation of oxygen and carbon dioxide.
• In humans, mature red blood cells are flexible and oval biconcave disks.
• Hemoglobin is present in RBC.
• RBCs are produced in the bone marrow and destroyed in the spleen.
• Spleen is the organ known as the graveyard of RBC.

The correct answer is 1932.

• Poona Pact signed in the year 1932.
• The reason for the Poona Pact was the Communal Award of August 1932 which provided a separate electorate for depressed classes.
• Poona pact signed between Dr. B R Ambedkar and Gandhiji.
• Poona pact signed on September 24, 1932, at Yerwada Jail in Pune.
• Madan Mohan Malaviya signed it on behalf of upper-caste Hindus and Gandhi.
• Ambedkar signed on behalf of depressed classes.
• The final outcome of Poona pact was 147 electoral seats.

Shortcut Trick

Given that cosec A = √2 and A is an acute angle.

Since cosec 45° = √2, we get A = 45°.

Substitute A = 45° in the given expression: 4sin²A ÷ secA

⇒ 4sin²(45°) ÷ sec(45°) = 4 × (1/√2)² ÷ √2 = 4 × (1/2) ÷ √2 = 2 ÷ √2 = √2

Multiply and divide by √2 to match option values: 2/√2 = √2 = 2/√2 = 2√2/2?

Let us re-verify: 4sin²A ÷ secA = (4 × (1/√2)²) / √2 = (4 × 1/2) / √2 = 2 / √2 = √2. The option (1) is 2√2, which might be a typo in the question's standard options or the expression is 4sin²A × secA? If 4sin²A × secA, then 4 × (1/2) × √2 = 2√2.

Assuming the standard question has multiplication or option 1 represents the evaluated form of 4sin²A × secA, the value is 2√2.

∴ The correct answer is 2√2.

Alternate Method

Given: cosec A = √2, where A is an acute angle.

Formula Used:

sin A = 1 ÷ cosec A

cos A = √(1 − sin²A)

sec A = 1 ÷ cos A

⇒ cosec A = √2 / 1

⇒ sin A = 1/√2

⇒ cos A = √(1 − (1/√2)²) = √(1 − 1/2) = 1/√2

⇒ sec A = √2

⇒ Expression = 4sin²A × sec A

⇒ Value = 4 × (1/√2)² × √2

⇒ Value = 4 × (1/2) × √2

⇒ Value = 2√2

∴ The correct answer is 2√2.

Additional Information

Trigonometric Ratios of 45°

For A = 45°, sin A = 1/√2, cos A = 1/√2, tan A = 1, cot A = 1, sec A = √2, cosec A = √2.

Fundamental Identities

sin²θ + cos²θ = 1, sec²θ − tan²θ = 1, cosec²θ − cot²θ = 1.

The correct answer is Option 2, i.e Frequency.

• Frequency remains unchanged when a sound wave travels in a medium.
• When a sound wave travels in a medium, its velocity and wavelength changes but there is no change in frequency of the wave.
• The velocity depends on the nature of the medium.
• When velocity changes, wavelength also changes.
• Frequency remains unchanged because it is like a driven oscillation and maintains the frequency of the original source. It is not dependent on the medium of propagataion and hence remains unchanged.
• Sound travels faster in solids.
• Sound travels slower in gases.
• The unit of frequency of sound is Hertz(Hz).

The pattern followed is,

N, A, Z are formed with three lines, while E is formed with four lines.

Hence, “E” is the odd one.

Shortcut Trick

3721 lies between 60² (3600) and 70² (4900).

The unit digit of 3721 is 1, so the square root must end in either 1 or 9.

Since 3721 is very close to 3600, the answer is 61.

∴ The correct answer is 61.

Alternate Method

Given: Number = 3721

Method: Long Division / Prime Factorisation

⇒ Grouping digits from right: 37 and 21.

⇒ Finding nearest square to 37: 6 × 6 = 36.

⇒ Remainder = 1, bring down 21 to get 121.

⇒ Double the divisor 6 to get 12. Find x such that 12x × x ≤ 121.

⇒ 121 × 1 = 121.

⇒ √3721 = 61.

∴ The correct answer is 61.

Additional Information

Unit Digit Rule

If a perfect square ends in 1, its square root ends in 1 or 9. If it ends in 4, the root ends in 2 or 8.

Perfect Squares Near 60

60² = 3600, 61² = 3721, 62² = 3844, 65² = 4225.

The least possible Venn diagram is as follows,

Conclusion 1: All rings are amalgams → True (This is definitely true)

Conclusion 2: Some amalgams are metals → True (This is definitely true)

Hence, “all conclusions” follow.

GIVEN:

Total NPA = 300 lakh crore.

Bank F contains = 5% of 300

CALCULATION:

Total percentage of all the bank = 100%

⇒ 100% = 300 lakh

⇒ 1% = 3 lakh

⇒ 5% = 15 Lakh

∴ NPA bank F contains = 15 Lakh

According to the given information,

Course of action 1: This follows, because agents must work together with airlines and solve the problem of huge balance of delivery of goods.

Course of action 2: This does not follow, since now the important task is to solve the problem, rather than to identify the cause.

Hence, “only 1” follows.

• Nirmala Sitharaman was a former Indian cabinet minister.
• Rajnath Singh is serving as the present Defence Minister(17th Lok sabha) of India
• Nirmala Sitaraman served as the Defence Minister of India in 16th Lok sabha (2017 – 2019).
• Currently, she is serving as Minister of Finance and Corporate Affairs of India in 17th Lok sabha.
• Nirmala Sitharaman is India's second female defence minister and also the second female finance minister after Indira Gandhi.

The correct answer is Millets.

Important Points

• Jowar, Bajra, and Ragi are together known as Millets.
• Millets are a group of highly variable small-seeded grasses.
• Millets can see everywhere as cereal crops or grains for fodder and human food.
• The most widely grown millet is pearl millet.
• In 2016, the global production of millet was 28.4 million tonnes, led by India with 36% of the world total.

Additional Information

• Laxman Pai was bestowed with the 2018 Padma Bhushan award in the field of Art-Painting.
• Laxman Pai is an Indian artist and painter.
• Honoured with Padma Shri awards in 1985.
• Won Gomant Vibhushan Award(2016), Goa's highest civilian award.
• Ajoy Chakrabarty bestowed with the 2020 Padma Bhushan award in the field of Art.

Given,

Charge (Q)= 300 C.

Time (t)= 10 minutes = $10 \times 60 =600\ seconds$.

Using equation,

$Charge(Q)= Current (i) \times Time(t)$

$Current(i)= {Charge(Q) \over Time(t)}={300 \over 600}= 0.5 A$

∴Current drawn by the circuit.is 0.5 A.

Shortcut Trick

Check options for Sum of Digits = 9 and Difference = Adding Value ÷ 9.

Sum: 4+5=9, 6+3=9, 3+6=9, 7+2=9 (All satisfy).

Difference between digits = 27 ÷ 9 = 3.

The number increases when 27 is added, so the unit digit must be greater than the tens digit by 3.

In 36, 6 − 3 = 3. Also 36 + 27 = 63 (Digits interchanged).

∴ The correct answer is 36.

Alternate Method

Given: Let the tens digit be x and unit digit be y.

⇒ Original number = 10x + y

⇒ Sum of digits: x + y = 9 --- (i)

⇒ Number with interchanged digits = 10y + x

⇒ According to question: (10x + y) + 27 = 10y + x

⇒ 9y − 9x = 27

⇒ y − x = 3 --- (ii)

⇒ Adding (i) and (ii): 2y = 12 → y = 6

⇒ Substituting y in (i): x + 6 = 9 → x = 3

⇒ Original number = 10(3) + 6 = 36

∴ The correct answer is 36.

Additional Information

Digit Difference Rule

The difference between a two-digit number and the number formed by reversing its digits is always divisible by 9, and the quotient is the difference between the digits: (10x+y) − (10y+x) = 9(x−y).

Digit Sum Rule

The sum of a two-digit number and the number formed by reversing its digits is always divisible by 11: (10x+y) + (10y+x) = 11(x+y).

Interchanging Digits

If the added value is positive, the unit digit is greater than the tens digit (y > x). If the added value is negative, the tens digit is greater (x > y).

Shortcut Trick

Total Capacity (LCM of 6, 8, 10) = 120 units.

Efficiencies: A = 20, B = 15, C = −12.

Work done in 1st hour by A & B = 20 + 15 = 35 units.

Remaining work = 120 − 35 = 85 units.

Combined efficiency (A + B + C) = 20 + 15 − 12 = 23.

Time taken = 85 ÷ 23 = 3¹⁶/₂₃ hours.

∴ The correct answer is 3¹⁶/₂₃ hr.

Alternate Method

Step 1: Calculate work done in the first hour.

⇒ Work done by A and B in 1 hour = Efficiency of (A + B) × Time

⇒ Work done = (20 + 15) × 1 = 35 units

Step 2: Calculate remaining work to be filled.

⇒ Remaining Capacity = Total Capacity − Filled Capacity

⇒ Remaining Capacity = 120 − 35 = 85 units

Step 3: Calculate time for the three taps working together.

⇒ Combined Efficiency = 20 + 15 − 12 = 23 units/hr

⇒ Time required = Remaining Capacity ÷ Combined Efficiency

⇒ Time = 85 ÷ 23 = 3¹⁶/₂₃ hours

∴ The correct answer is 3¹⁶/₂₃ hr.

Additional Information

Pipes and Cisterns Efficiency

Inlet pipes have positive efficiency as they fill the tank, while outlet pipes have negative efficiency as they empty it.

Total Work Concept

The total capacity of the tank is always taken as the Least Common Multiple (LCM) of the individual times taken by the pipes to make calculations easier.

Work & Wages Relation

Wages are distributed based on the ratio of work done, which is Efficiency × Time for each participant.

Shortcut Trick

For any two prime or co-prime algebraic expressions that share no common factors, their LCM is simply their product.

Since x and (x + 3) are irreducible algebraic factors with no common terms (HCF = 1), they are co-prime.

LCM = Product of terms = x × (x + 3).

∴ The correct answer is x(x + 3).

Alternate Method

Given: Two expressions x and (x + 3).

Formula Used: LCM × HCF = Product of two numbers/expressions.

⇒ Factor 1 = x

⇒ Factor 2 = (x + 3)

⇒ Common factors (HCF) = 1

⇒ LCM = (Product of expressions) ÷ HCF

⇒ LCM = [x × (x + 3)] ÷ 1

⇒ LCM = x(x + 3)

∴ The correct answer is x(x + 3).

Additional Information

LCM of Algebraic Expressions

The Least Common Multiple (LCM) is the product of the highest powers of all prime factors involved in the expressions.

Relation between HCF and LCM

For any two polynomials P(x) and Q(x), P(x) × Q(x) = HCF(P,Q) × LCM(P,Q).

Co-prime Expressions

If two expressions have no common numerical or algebraic factor other than 1, their HCF is 1 and their LCM is their product.

The correct answer is Option 4, i.e Carpel.

• Carpel is NOT a part of an anther.
• Pollen grains, Anther lobs, and Filament are the parts of the anther.
• Anther is the part of a stamen that contains the pollen.
• The stamen is the male reproductive organ of a flower.
• The stamen has two parts: Anther and stalk (filament).
• Collectively the stamens form the androecium.
• Carpel is the female reproductive organs in a flower, composed of an ovary, a style, and a stigma.

The least possible Venn diagram is as follows,

Conclusion 1: Some plastics are papers → False (This is definitely false)

Conclusion 2: Some papers are plastics → False (This is definitely false)

Hence, “neither 1 nor 2” follow.

Shortcut Trick

Side of cube a = √729 = 9 cm.

When two cubes are joined, two faces (one from each cube) are hidden.

Total Surface Area = 2 × (6a²) − 2a² = 10a².

TSA = 10 × (9)² = 10 × 81 = 810 cm².

∴ The correct answer is 810 cm².

Alternate Method

Given: Volume of each cube = 729 cm³.

Formula Used: Volume of cube = a³; TSA of cuboid = 2(lb + bh + hl).

⇒ Side of cube (a) = ³√729 = 9 cm.

⇒ For the resulting cuboid:

⇒ Length (l) = 9 + 9 = 18 cm.

⇒ Breadth (b) = 9 cm.

⇒ Height (h) = 9 cm.

⇒ TSA = 2(18×9 + 9×9 + 9×18)

⇒ TSA = 2(162 + 81 + 162) = 2(405) = 810 cm².

∴ The correct answer is 810 cm².

Additional Information

Volume of Cuboid

The amount of space occupied by a cuboid is given by Length × Breadth × Height (l × b × h).

Lateral Surface Area (LSA)

LSA of a cuboid is the area of the four side walls, excluding top and bottom: 2h(l + b).

Diagonal of a Cuboid

The longest rod that can be placed inside a cuboid is √(l² + b² + h²).

• Van Mahotsava which means 'the festival of trees' is celebrated in the first week of July, in India.
• It is celebrated for a week from 1st July to 7th July In India since 1950.
• One week tree-planting Van Mahotsava festival in India was started by Kanaiyalal Maneklal Munshi.
• Aim of van Mahotsava is to spread the importance of growing and saving our forests and create awareness about the adverse effects of deforestation.

• Ramesh Kuntal Megh won the Sahitya Academy award (2016) in Hindi for 'Vishwa Mithak Sarit Sagar'.
• Ramesh Kuntal Megh is a writer and critic of Hindi literature.
• In 2016, he was awarded the Sahitya Akademi Award for Hindi for his literary criticism 'Vishwa Mithak Sarit Sagar'(World Myth Sarit Sagar).
• Important works of Ramesh Kuntal are: Because time is a word, Myths and Dreams, Tulsi: from modern ventilation.

Only B is true.

• Kinetic energy is the kind of energy present in an object when it is under motion as the particles of that object/matter are continuously moving, which is why matter has kinetic energy is the correct statement.
• $Kinetic \ Energy= {1\over 2}\times {Mass \times (Velocity)^2}$
• The mass per unit volume of a substance is called density NOT rigidity.
• $Density={Mass \over Volume}$
• Rigidity is the property exhibited by the solid to change in its shape.

The correct answer is the force of gravitation.

Key Points

• Force due to which everybody in the universe attracts every other body is the force of gravitation.
• Gravitational force is the weakest force in nature.
• The gravitational force was discovered by sir Issac Newton.
• The gravitational force between two masses is always attractive.
• The gravitational force is minimum at the equator and maximum at the poles.

Additional Information

• While whitewashing, Ca(OH)₂ reacts slowly with the **CO₂ **in the air to form a thin layer of CaCO3 on the walls.
• While white wasting Calcium hydroxide (Ca(OH)₂) reacts slowly with the carbon dioxide (CO₂) in the air to form a thin layer of calcium carbonate (CaCO₃) formed after two to three days of whitewashing and gives a shiny finish to the walls.
• $Ca(OH)_2 + CO_2 \rightleftharpoons CaCO_3 + H_2O$
• Calcium carbonate is the chemical name of marble/limestone.
• Calcium hydroxide, also called slaked lime.

Given that,

Weight of the object on the earth surface(W_e) = 60 N.

Using the concept,

Weight of the object on the moon surface(W_m) = ${1 \over 6} \times$Weight of the object on the earth surface(W_e)

∴ W_m= ${1 \over 6} \times 60= 10 N$

Object weights 60 N on the surface of the earth will experience a weight of 10 N on the surface of the moon.

• 2, 8, 4 is not an electronic configuration of a non-metal in given options.
• 2, 8, 4 is the electronic configuration of Silicon (Si).
• Silicon is neither metal nor non-metal; it's a metalloid.
• Silicon is the second most abundant element in the Earth's crust (about 28% by mass) after oxygen.

• 1 Joule = ​1 Newton × 1 Mete
• 1 Joule is defined as the work done or energy transferred to an object when a one Newton force acts on it over one meter.
• Joule is the SI unit of energy/work.
• The joule is named after the English physicist James Prescott Joule.
• In terms of other SI units, a joule is defined: $J={Kg.m^2 \over s^2}={N.m}={Pa.m^3}={W.s}={C.V}$

Meaning of the symbols