Delhi Forest Guard Previous Paper 1 (Held on: 3 March 2021 Shift 3) (Previous Year Paper)

According to given conditions the direction and distance diagram is as,

Clearly, Rahul is to the south-west of Ravi.

Hence, ‘south-west’ is the correct answer.

The code for each letter is shown below:

Clearly, 'ak' is the code for 'skunk'.

Hence, ‘ak’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

Hence, ‘TXFEFO’ is the correct answer.

The given words when arranged in the sequence in which they occur in the dictionary is shown below:

5. Telepathic
   
6. Telepathize
   
7. Telepathy
8. Telepheme
   
9. Telepherique

Hence, ‘5, 1, 2, 4, 3’ is the correct answer.

According to given conditions,

  

Clearly, the man is to the south of his house.

Hence, ‘south’ is the correct answer.

The logic is:

Hence, ‘344’ is the correct answer.

1. ×, -

Given equation: 10 - 8 × 2 ÷ 4 + 6 = 0

After interchanging the signs, we get:

L.H.S = 10 × 8 - 2 ÷ 4 + 6

= 80 – 0.5 + 6

= 86 – 0.5

= 85.5 ≠ R.H.S

2) ×, ÷

Given equation: 10 - 8 × 2 ÷ 4 + 6 = 0

After interchanging the signs, we get:

L.H.S = 10 - 8 ÷ 2 × 4 + 6

= 10 – 4 × 4 + 6

= 16 – 16

= 0 = R.H.S

3. ÷, -

Given equation: 10 - 8 × 2 ÷ 4 + 6 = 0

After interchanging the signs, we get:

L.H.S = 10 ÷ 8 × 2 - 4 + 6

= 2.5 – 4 + 6

= 8.5 – 4

= 4.5 ≠ R.H.S

4. ×, +

Given equation: 10 - 8 × 2 ÷ 4 + 6 = 0

After interchanging the signs, we get:

L.H.S = 10 - 8 + 2 ÷ 4 × 6

= 10 – 8 + 3

= 13 – 8

= 5 ≠ R.H.S

Hence, ‘×, ÷’ is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, Sugandha is the sister-in-law of Vijay.

Hence, ‘Sister-in-law’ is the correct answer.

In all the options except 'option 2', the black (solid) and white triangles are in opposite direction to each other, while in 'option 2', the black (solid) and white triangles are facing the same direction.

Hence, 'option 2' is the odd one out.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, E is the grandfather of O.

Hence, ‘grandfather’ is the correct answer.

1. ×, ÷

Given equation: 16 × 96 + 3 - 45 ÷ 9 = 299

After interchanging the signs, we get:

L.H.S = 16 ÷ 96 + 3 - 45 × 9

= 0.16 + 3 – 405

= 3.16 – 405

= -401.84 ≠ R.H.S

2. ×, -

Given equation: 16 × 96 + 3 - 45 ÷ 9 = 299

After interchanging the signs, we get:

L.H.S = 16 - 96 + 3 × 45 ÷ 9

= 16 – 96 + 15

= 31 – 96

= -65 ≠ R.H.S

3) ×, +

Given equation: 16 × 96 + 3 - 45 ÷ 9 = 299

After interchanging the signs, we get:

L.H.S = 16 + 96 × 3 - 45 ÷ 9

= 16 + 288 – 5

= 304 – 5

= 299 = R.H.S

4. ÷, -

Given equation: 16 × 96 + 3 - 45 ÷ 9 = 299

After interchanging the signs, we get:

L.H.S = 16 × 96 + 3 ÷ 45 - 9

= 1536 + 0.067 – 9

= 1536.067 – 9

= 1527.067 ≠ R.H.S

Hence, ‘×, +’ is the correct answer.

All the options except 'option 3' are similar to each other.

The triangle in 'option 3' is facing towards west, while in other options it is facing towards east.

Hence, 'option 3' is the odd one out.

The logic is:

11 × 3 = 33

11 × 5 = 55

11 × 7 = 77

11 × 9 = 99

11 × 11 = 121

Hence, ‘55’ is the correct answer.

All options except 'starfish' are circular in shape, while 'starfish' is in the shape of a star.

Hence, ‘starfish’ is the odd one out.

The pattern followed here is:

According to the alphabetical positions of the letters,

ZINNIA = 73 → Z (26) + I (9) + N (14) + N (14) + I (9) + A (1) = 26 + 9 + 14 + 14 + 9 + 1 = 73

DAISY = 58 → D (4) + A (1) + I (9) + S (19) + Y (25) = 4 + 1 + 9 + 19 + 25 = 58

Similarly,

JASMINE → J (10) + A (1) + S (19) + M (13) + I (9) + N (14) + E (5) = 10 + 1 + 19 + 13 + 9 + 14 + 5 = 71

Hence, ‘71’ is the correct answer.

Let the present age of Sumitha be 'a' years.

According to question:

a + 15 = 4 (a - 3)

⇒ a + 15 = 4a - 12

⇒ 15 + 12 = 4a - a

⇒ 27 = 3a

⇒ a = 27/3

⇒ a = 9

So, the present age of Sumitha is 9 years.

Hence, ‘9’ is the correct answer.

1. ×, ÷

Given equation: 0.01 - 0.02 × 0.04 + 0.06 ÷ 0.03 = 0.07

After interchanging the signs, we get:

L.H.S = 0.01 - 0.02 ÷ 0.04 + 0.06 × 0.03

= 0.01 – 0.5 + 0.0018

= 0.0118 – 0.5

= -0.4882 ≠ R.H.S

2. ÷, -

Given equation: 0.01 - 0.02 × 0.04 + 0.06 ÷ 0.03 = 0.07

After interchanging the signs, we get:

L.H.S = 0.01 ÷ 0.02 × 0.04 + 0.06 - 0.03

= 0.5 × 0.04 + 0.06 - 0.03

= 0.02 + 0.06 – 0.03

= 0.08 – 0.03

= 0.05 ≠ R.H.S

3) ×, +

Given equation: 0.01 - 0.02 × 0.04 + 0.06 ÷ 0.03 = 0.07

After interchanging the signs, we get:

L.H.S = 0.01 - 0.02 + 0.04 × 0.06 ÷ 0.03

= 0.01 – 0.02 + 0.08

= 0.09 – 0.02

= 0.07 = R.H.S

4. ×, -

Given equation: 0.01 - 0.02 × 0.04 + 0.06 ÷ 0.03 = 0.07

After interchanging the signs, we get:

L.H.S = 0.01 × 0.02 - 0.04 + 0.06 ÷ 0.03

= 0.0002 – 0.04 + 2

= 2.0002 – 0.04

= 1.9602 ≠ R.H.S 

Hence, ‘×, +’ is the correct answer.

The logic is:

Badminton : shuttlecock → Shuttlecock is a lightweight conical object with a rounded often rubber-covered nose that is used in badminton.

Similarly,

Snooker : ? → A billiard ball is a small, hard ball used in cue sports, such as carom billiards, pool, and snooker.

Hence, ‘Billiard ball’ is the correct answer.

Let the present age of Sneha be 'a' years.

According to question:

a - 4 = 1/3 (a + 6)

⇒ 3 (a - 4) = a + 6

⇒ 3a - 12 = a + 6

⇒ 3a - a = 6 + 12

⇒ 2a = 18

⇒ a = 18/2

⇒ a = 9

So, Sneha is 9 years old now.

Hence, ‘9 years’ is the correct answer.

The logic is:

Hence, ‘119’ is the correct answer.

The logic is:

Hence, ‘198’ is the correct answer.

The logic is as,

The image with two triangles, gets rotated first by 90 degrees and then it moves diagonally, in the square and the solid circle shifted from left to right.

The answer figure that will complete the series is shown below:

Hence, 'option 1' is the correct answer.

The logic is:

8 : 64 → 8 : 8²

Similarly,

7 : ? → 7 : 72

⇒ ? = 49

Hence, ‘49’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

1. CDE → C + 1 = D; D + 1 = E

2. GHI → G + 1 = H; H + 1 = I

3. STU → S + 1 = T; T + 1 = U

4. FED → F - 1 = E; E - 1 = D

Hence, ‘FED’ is the odd one out.

The logic is:

The black colored portion in figure 3 is exactly at the opposite position with respect to its position in figure 1. 

The black colored portion in the answer figure that will complete the series will be exactly at the opposite position with respect to its position in figure 2, as shown in option 4. 

Hence, 'option 4' is the correct answer.

The pattern followed here is:

Pair of opposite letters are given in the series.

Similarly,

Hence, ‘XYZ’ is the correct answer.

The logic is:

12² + 1 = 144 + 1 = 145

112 + 1 = 121 + 1 = 122

102 + 1 = 100 + 1 = 101

92 + 1 = 81 + 1 = 82

82 + 1 = 64 + 1 = 65

Hence, ‘65’ is the correct answer.

The logic is:

Hence, ‘160’ is the correct answer.

According to given conditions,

Clearly, the distance between I and F  = 12 + 12 = 24 km.

Hence, ‘24 m’ is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, Kumar is the uncle of Kejia.

Hence, ‘Maternal Uncle’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

  

Hence, ‘OLI’ is the correct answer.

Note:    

The answer option has been changed as the option was erroneous.

1. ÷, +

Given equation: 56 - 14 + 42 ÷ 5 × 10 = 63

After interchanging the signs, we get:

L.H.S = 56 - 14 ÷ 42 + 5 × 10

= 56 – 0.33 + 50

= 106 – 0.33

= 105.67 ≠ R.H.S

2. ÷, -

Given equation: 56 - 14 + 42 ÷ 5 × 10 = 63

After interchanging the signs, we get:

L.H.S = 56 ÷ 14 + 42 - 5 × 10

= 4 + 42 – 50

= 46 – 50

= -4 ≠ R.H.S

3) ×, ÷

Given equation: 56 - 14 + 42 ÷ 5 × 10 = 63

After interchanging the signs, we get:

L.H.S = 56 - 14 + 42 × 5 ÷ 10

= 56 – 14 + 21

= 77 – 14

= 63 = R.H.S

4. ×, +

Given equation: 56 - 14 + 42 ÷ 5 × 10 = 63

After interchanging the signs, we get:

L.H.S = 56 - 14 × 42 ÷ 5 + 10

= 56 – 117.6 + 10

= 66 – 117.6

= -51.6

Hence, ‘×, ÷’ is the correct answer.

Arrange the given words in the sequence in which they occur in the dictionary.

4. Mesoscaphe
   
5. Mesothoraces
6. Mesquinerie
7. Messaline
   
8. Messeigneurs

Hence, ‘4, 2, 1, 5, 3’ is the correct answer.

All options except 'Bullock cart' are the name of modern vehicles that uses petrol/diesel to run, while in a 'bullock cart'  bull is used to run the vehicle.

Hence, 'Bullock cart' is the odd one out.

The logic is:

225 ∶ 15 → 15² : 15

Similarly,

361 ∶ ? → 192 : 19

⇒ ? = 19

Hence, ‘19’ is the correct answer.

The logic is:

Sweater : Socks → We use sweater and socks in winter season to protect ourselves from cold weather.

Similarly,

Raincoat : ? → We use raincoat and umbrella in monsoon season to protect ourselves from rain.

Hence, ‘umbrella’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Hence, ‘IHJ’ is the correct answer.

The logic is:

Hence, ‘101’ is the correct answer.

Let the weight of R be 'a' Kg.

If P weighs is 3 kg more than Q who is thrice as heavy as R.

According to question:

Q = 3a

And P = 3a + 3

If the total weights of P, Q and R be 227 kg.

P + Q + R = 227 Kg

Putting the value of P, Q and R in the above equation, we get:

3a + 3 + 3a + a = 227

⇒ 7a + 3 = 227

⇒ 7a = 227 - 3

⇒ 7a = 224

⇒ a = 224/7

⇒ a = 32

so, weight of R is 32 Kg.

Weight of Q = 3a

= 3 × 32 Kg

= 96 Kg

Therefore, weight of Q is 96 Kg.

Hence, ‘96 Kg’ is the correct answer.

The logic is:

13 ∶ 143 → 13 : 13 × 11

Similarly,

5 ∶ ? → 5 : 5 × 11

⇒ ? = 55

Hence, ‘55’ is the correct answer.

The correct answer is Sri Lankan.

Key Points

• Sri Lankan Government formally notified the United Nations that it will withdraw from the UNHRC resolution.
• Sri Lanka withdrew from a UNHRC resolution for investigating alleged war crimes. The case was dealing with a decade-old clash with Tamil separatists.
• Sri Lanka’s Foreign Minister Dinesh Gunawardena informed UNHRC that Sri Lanka has decided to withdraw from the co-sponsorship of UNHRC’s resolution.
• Sri Lanka and 11 other countries co-sponsored the UNHRC resolution for the investigation of wartime violence by Tamil Tiger rebels and Government forces.

Important Points

• UNHRC was founded on 14th December 1950 and its headquarters is located in  Geneva, Switzerland.
• Indian Actor John Abraham is the Goodwill Ambassador for UNHCR in India.
• The current chief of UNHRC is Oscar Mundia.

Additional Information

• The Liberation Tigers of Tamil Eelam was formed in 1976 by Prabhakaran with the intention of acquiring a homeland for the Tamils in Sri Lanka in the north and east parts of the island.
• There was intense fighting between the government forces and the LTTE in which thousands of civilians were caught in the line of fire.
• International and United Nations observers describe the events that led to the defeat of the LTTE in 2009 as a bloodbath.

The correct answer Sravana.

Key Points

• In Sravana month Raksha Bandhan is celebrated.
• Raksha Bandhan is celebrated on the full-moon day of the Hindu month of Sravana (July/August).
• Raksha Bandhan festival celebrates the love of a brother for his sister.
• Rakhi strengthens the bond of love between brothers and sisters and revives the emotional bonding.

Additional Information

• Famous Hindu Festivals:
• Diwali.
• Holi.
• Onam.
• Maha Shivaratri.
• Krishna Janmashtami.
• Makar Sankranti.
• Ganesh Chaturthi.
• Navratri, Dussehra, Durga Puja.
• Rama Navami.
• Ugadi.

The correct answer is Madhya Pradesh.

• India's 1st e-waste clinic was inaugurated in Bhopal, Madhya Pradesh.
• e-waste clinic is used for segregating, processing, and disposal waste from household and commercial units.
• It is an Electronic waste or e-waste forms the discarded electrical or electronic devices.
• The clinic is being conceived in compliance with the Solid Waste Management Rules, 2016.

Important Points

• E-waste clinic was signed between the Central Pollution Control Board (CPCB) and the Bhopal Municipal Corporation (BMC) for its establishment.
• The CPCB will provide technical support at the unit and the collected hazardous waste will then be sent to Bengaluru for recycling.
• Waste electrical and electronic items are termed e-wastes. Such wastes when disposed of or recycled carelessly can cause damage to health and the environment and hence for regulation of e-wastes.

Additional Information

• Environmental Effects of E-Waste:
• ​When electronic waste is thrown away in landfills their toxic materials seep into groundwater, affecting both land and sea animals.
• Only 10 percent of cell phones are recycled in the United States and most Americans get new cell phones every 12 to 18 months.
• In Guiyu, China, many of the residents exhibit substantial digestives, neurological, respiratory, and bone problems.
• Computers and most electronics contain toxic materials such as lead, zinc, nickel, flame retardants, barium, and chromium.
• When e-waste is warmed up, toxic chemicals are released into the air damaging the atmosphere.

The correct answer is the Price of the product.

Key Points

• Demand is an economic principle referring to a consumer's desire to purchase goods and services and willingness to pay a price for a specific good or service.
• A demand curve is a graphic representation of the relationship between product price and the quantity of the product demanded.
• The price of the product does not lead to a shift in the demand curve.
• Income is not the only factor that causes a shift in demand.
• The other things that change demand include tastes and preferences, the composition or size of the population, the prices of related goods, and even expectations.
• A shift in the demand curve is when a determinant of demand other than price changes.
• It occurs when demand for goods and services changes even though the price didn't.

Important Points

• A shift in the demand curve is an unusual circumstance..
• The price remains the same but at least one of the other five determinants change.
• Those determinants are: 
• ​Income of the buyer.
• Consumer trends and tastes.
• Expectations of future price, supply, needs, etc.
• The price of related goods.
• The number of potential buyers.

Additional Information

• Factors That Cause a Demand Curve to Shift: 
• ​When the demand curve shifts, it changes the amount purchased at every price point.
• For example, when incomes rise, people can buy more of everything they want.
• In the short-term, the price will remain the same and the quantity sold will increase.

The correct answer is 20.

 

Key Points

• World Social Justice Day is celebrated on February 20th every year.
• The main objective of celebrating World Social Justice Day is to raise a voice against social injustice and to bring the various communities internationally together.
• On 26 November 2007, the General Assembly declared that starting from the sixty-third session of the General Assembly, 20th February will be celebrated annually as the World Day of Social Justice.
• To raise a voice against social injustice and to remove barriers regarding gender, age, race, ethnicity, religion, culture, or disability World Social Justice Day is observed.
• The theme of the year 2023 is 'Overcoming Barriers and Unleashing Opportunities for Social Justice​'.

Additional Information

World Social Justice Day Themes:

The correct answer is Rajaraja Chola I.

Key Points

• Rajaraja Chola I built the Brihadishvara Temple of Tamilnadu and is dedicated to Lord Shiva.
• Brahdishvara temple is located on the bank of the Kaveri river in Tanjavur, Tamil Nadu.
• Tamil King Raja Raja Chola I completed this temple in 1010 AD.
• Brihadishvara temple turned 1000 years in 2010 and is part of the UNESCO World Heritage site.

Important Points

• Raja Raja Chola was born as Arulmozhi Thevar in 947 in Tirukoilur, as the third child of Parantaka Sundara Chola and Vananan Maha Devi.
• He ascended the throne in 985 after the death of Madhuranthaga, which started the Second Golden Age of Tamil Nadu.
• Rajaraja Chola I was a Chola emperor and the most powerful king in the South at his time.
• He conquered the port of Virinam by overthrowing the Pandyas and capturing its king Amarbhujanga.
• As a mark of celebration, he took the title Mummudi-Chola, meaning the three crowns, Chera, Chola, and Pandya, worn by the Chola king.

Additional Information

The correct answer is Monopsony.

• A monopsony occurs when a firm has market power in employing factors of production. It means there are one buyer and many sellers.
• When the market is under a monopsony, the market is dominated by a single buyer while, in the case of monopoly, a single seller is seen in the market.
• An example of a monopsony is a company coal town, where the coal company acts as the sole employer.

Additional Information

The correct answer is carbon dioxide.

Key Points

• Carbon Dioxide is the largest contributor to climate change because it is so common. The build-up of this gas is leading to the current global warming.
• Carbon dioxide is emitted whenever coal, oil, natural gas, and other carbon-rich fossil fuels are burned.
• In order to reduce carbon dioxide emissions, we need to reduce the amount of fuel we use in our cars, homes, and lives.
• Some of the other greenhouse gases include - methane, nitrous oxide, and other gases that accumulate in the atmosphere.

Important Points

• The greenhouse effect is a natural process where atmospheric gases trap heat, a phenomenon that allows the Earth to retain enough solar heat to be livable.
• Modern climate change is caused by an excess of greenhouse gases.

Additional Information

The correct answer is Oxygen.

Key Points

• Oxygen is the most abundant element in Earth's crust.
• The name Oxygen comes from the Greek 'oxy genes', meaning acid-forming.
• Oxygen was discovered by Joseph Priestley in Wiltshire, England, and independently by Carl Wilhelm Scheele in Uppsala, Sweden.
• Oxygen is the chemical element with the symbol O and atomic number 8.

Important Points

 

Additional Information

The correct answer is Novak Djokovic.

Key Points

• In the Australian Open 2020, Novak Djokovic (Serbia) defeated Dominic Thiem (Austria) to win the Men’s Singles title.
• Sofia Kenin (USA) defeated Garbine Muguruza (Spain) to win the Women’s Singles title.
• Novak Djokovic is currently the Number One Tennis player in the world as of 31st March 2021.
• Djokovic has won 18 Grand Slam (major) titles, the third most in the Open era, behind Roger Federer and Rafael Nadal.

Additional Information

• Australian Open is the first of the four annual Grand Slam events among the world’s major tennis championships.
• The Australian Open was started in 1905 in only the Men Singles category, by the Lawn Tennis Association of Australia.
• The four major grand slams of Tennis include:
• Wimbledon - It started in the year 1877 and is played on the grass court.
• US Open - It started in the year 1882 and is played on the hardcourt.
• French Open - It started in the year 1897 and is played on the clay court.
• Australian Open - It started in the year 1905 and is played on the hardcourt.

The correct answer is 1764.

Key Points

• The battle of Buxar was fought on 22nd October 1764. This battle was crucial for Britishers since it provided them full control of Bengal and Bihar.
• It was fought between Hector Munro and the combined forces of Mir Qasim which included Shuja-ud-daula, Shah Alam II, etc.
• In this battle, the combined force of Mir Qasim was defeated.
• The Treaty of Allahabad was signed on 12 August 1765 between Robert Clive and Shah Alam II (Mughal emperor).
• Shah Alam II was forced to pay a fine of five million rupees.

Additional Information

• The battle of Buxar was the outcome of the misuse of Farman and Dastak, and also the trade expansionist aspiration of English.
• The seeds of the Battle of Buxar were sown after the Battle of Plassey when Mir Qasim became the Nawab of Bengal.
• In the Mughal force, there were 40,000 men in the battle of Buxar, while the English East India Company's Hector Munro's forces included 10,000 men.
• With the defeat of Mir Qasim, the rule of Nawabs came to an end.

The correct answer is Electrical Capacitance.

Key Points

• The Electrical Capacitance is expressed as the ratio of charge to a potential difference and its SI unit is Farad.
• Capacitance is expressed as the ratio of the electric charge on each conductor to the potential difference between them.
• The capacitance value of a capacitor is measured under Farad. The Farad is a large quantity of Capacitance.
• The capacitance of a conductor will be 1 farad if the charge of 1 coulomb raises the potential by 1 volt.

Important Points

Electrical Capacitance formula:

q = CV

q = charge

C = capacitance

V = voltage

Additional Information

The correct answer is 61st.

Key Points

• 61st Constitutional Amendment reduced the voting age from 21 years to 18 years for the Lok Sabha and state legislative assembly elections.
• This Act may be called the Constitution (Sixty-first Amendment) Act, 1988.
• Article 326 of the Constitution of India deals with elections to the Houses and to the State Legislative Assemblies on the basis of universal adult suffrage.
• The proposal to reduce the voting age to 18 years was brought about to increase the participation of the youth in the electoral process of the country.

Important Points

Additional Information

• The Constitution 61st Act, 1988 was introduced in the Lok Sabha on 13th December 1988 by the then Water Resources Minister B. Shankaranand.
• The bill received the presidential assent on 28th March 1989 when then-President R Venkataraman assented it.
• This amendment Act was not ratified by 5 states at that time:
• Tamil Nadu.
• Tripura.
• Punjab.
• Nagaland.
• Jammu and Kashmir.

The correct answer is Vindhyas.

Key Points

• The Vindhyan range is located in the Indian state of Madhya Pradesh, Chhattisgarh, Gujarat, Uttar Pradesh, and Bihar.
• The Vindhya Range is a range of older rounded mountains and hills in the west-central Indian subcontinent.
• The Vindhya range is continued eastwards as the Bharner and Kaimur hills.
• The Vindhya range acts as a watershed between the Ganga system and the river systems of South India.
• The Vindhya Range geographically separates the Indian subcontinent into northern India and Southern India.

Additional Information

• The Sad-Bhawan Shikhar is the highest peak with an elevation of 2,467 feet.
• The Himalayas and the Vindhyas are both mentioned in the national anthem of India.

Important Points

The correct answer is 2019.

Key Points

• The government of India established the Central Consumer Protection Authority under the Consumer Protection Act 2019.
• The authority is being constituted under Section 10(1) of The Consumer Protection Act, 2019.
• The 2019 Act replaced The Consumer Protection Act, 1986, and seeks to widen its scope in addressing consumer concerns.
• The 2019 Act recognises offences such as providing false information regarding the quality or quantity of a good or service and misleading advertisements.
• This is not specified in the notification of the Act. Regarding food, an official said the CCPA will ensure that all standards on packaged food items set by regulators such as the FSSAI are being followed.
• Under Section 20 of The Consumer Protection Act, the proposed authority will have powers to recall goods or withdrawal of services that are dangerous, hazardous or unsafe.

Important Points

• For manufacture, selling, storage, distribution, or import of adulterated products, the penalties are:
• ​If an injury is not caused to a consumer, fine up to Rs 1 lakh with imprisonment up to six months.
• If an injury is caused, fine up to Rs 3 lakh with imprisonment up to one year.
• If grievous hurt is caused, fine up to Rs 5 lakh with imprisonment up to 7 years.
• In case of death, fine of Rs 10 lakh or more with a minimum imprisonment of 7 years, extendable to imprisonment for life.

The correct answer is 2004.

Key Points

• Market Stabilisation Scheme, which is an instrument for monetary management, was introduced in 2004.
• The Market Stabilization Scheme (MSS) is a monetary policy tool used by the RBI to manage the money supply in the economy.
• Market Stabilisation Scheme introduced because of During 2002-2004, there were huge capital inflows into India. This led to an appreciation of the rupee.
• The bills or bonds issued under MSS are known as Market Stabilisation bonds.
• Market Stabilisation Scheme is used when there is high liquidity in the system.

Additional Information

• The Market Stabilisation bonds are issued by way of auctions conducted by the Reserve Bank of India.
• The Reserve Bank decides and notifies the amount, tenure, and timing of issuance of such treasury bills and dated securities.
• The Reserve Bank first introduced MSS bonds in February 2004 when the country was flushed with dollar inflows, which needed to be converted into the rupee.

Important Points

• The money obtained under MSS should be kept with the RBI. It should not be transferred to the government.
• MSS, there is an MoU between the government and the RBI about the total limit of MSBs to be issued by the RBI during a year.
• The securities or bonds/t-bills issued under MSS are purchased by financial institutions.
• The money procured from selling bonds under MSS is kept with the RBI. At the same time, interest payments have to be given to the institutions that buy bonds.

The correct answer is Asia-Pacific Economic Cooperation.

• The Asia-Pacific Economic Cooperation (APEC) is a regional economic forum established in 1989. It was founded by Bob Hawke.
• The main aim of the APEC is to promote open trade and to support sustainable economic growth and prosperity in the Asia-Pacific region.
• India is not a member of the APEC.
• APEC consists of 21 member economies which include Australia, Canada, China, Singapore, Russia, etc.
• The headquarters of the forum is in Singapore. The chairperson of the forum is Jacinda Ardern (2021), who is also the PM of New Zealand.

Important PointsImportant World Organizations:

The correct answer is IV.

Key Points

• Part IV  of the Indian Constitution deals with the Directive Principles of State Policy.
• Article 36-51 comes under  Part IV of the Indian Constitution.
• Important Articles of DPSP:
• ​Article 40: Organization of village panchayats.
• Article 43A: Participation of workers in the management of industries.
• Article 45: Provision for early childhood care and education to children below the age of six years.
• Article 49: Protection of monuments and places and objects of national importance.
• Article 50: Separation of judiciary from the executive.
• There are three types of Directive Principles of State Policy:
• ​Socialist.
• Gandhian.
• Liberal-Intellectual.

Important Points

• A new DPSP under Article 38 was added by the 44th Amendment Act of 1978, which requires the State to minimize inequalities in income, status, facilities, and opportunities.
• The 86th Amendment Act of 2002 changed the subject matter of Article 45 and made elementary education a fundamental right under Article 21A.
• A new DPSP under Article 43B was added by the 97th Amendment Act of 2011 relating to co-operative societies.

Additional Information

The correct answer is Washington D. C.

Key Points

• International Monetary Fund headquarters is located at Washington D. C in the United States. It was founded in 1944.
• International Monetary Fund is an Organization of 190 countries.
• It is working to secure financial stability, facilitate international trade, promote high employment and economic growth and reduce poverty around the world.

Important Points

• The IMF was founded in July 1944 at the United Nations Bretton Woods Conference in New Hampshire, United States.
• Kristalina Ivanova Georgieva is a Bulgarian economist serving as chair and managing director of the International Monetary Fund since 2019.

Additional Information

 

The correct answer is South Africa.

Key Points

• The first T20I Men's Cricket world cup held in South Africa from 11 to 24 September 2007.
• In the first T20 World Cup, a total of 12 teams had participated.
• The First T20 World Cup Champion was the Indian cricket team and the Runner-up was Pakistan.

Important Points

• In the first T20 World Cup, the Man of the series was given to Shahid Afridi.
• Umar Gul had taken 13 wickets in this tournament and he was the highest wicket-taker in that tournament.
• Mathew Hyden has scored a total of 265 runs in the tournament and its highest individual score in the first world cup.
• The ICC Men's T20 World Cup is scheduled to take place in October and November 2022 in Australia.
• The current T20 World Cup Champions are West Indies, as of March 2021.

Additional Information

The correct answer is 1955.

Key Points

• In 1955 the Citizenship Act was passed in India.
• The conferment of a person, as a citizen of India, is governed by Articles 5 to 11 (Part II) of the Indian Constitution.
• Article 11 of the Constitution confers power on the parliament to make laws regarding citizenship.
• Citizen means a person who under the citizenship or nationality law for the time being in force in that country, is a citizen or national of that country.
• Indian citizenship can be acquired: birth, descent, registration, and naturalization. The provisions are listed under the Citizenship Act, 1955.

Important Points

• Granting of Citizenship:
• Citizen by Birth.
• Citizenship by Descent.
• Citizenship at the commencement of the Constitution of India.
• Citizenship by registration.
• Citizenship by naturalization.

Additional Information

• The Citizenship act has been amended six times in 1986,1992, 2003, 2005, 2015, and 2019.
• 1986 amendment: The constitutional provision and the original Citizenship Act that gave citizenship on the principle of jus soli to everyone born in India.
• 2003 amendment: The amendment made the above condition more stringent, keeping in view infiltration from Bangladesh.
• 2005 amendment:  Only citizens can apply for the information under this Act. Right to Information Act confers the right not to all persons, but only on Citizens.
• 2015 amendment: It provides for citizenship by birth, descent, registration, naturalization, and by incorporation of territory. In addition, it provides for renunciation and termination of citizenship under certain circumstances.

The correct answer is Durga.

Key Points

• The Dalkhai dance of Odisha is usually performed to please Goddess Durga.
• The dance Dalkai originates from the Sambalpur district of Odisha.
• Dalkhai is one of the most popular traditional folk-dance forms of Adivasi’s of Sambalpur.
• It is commonly performed on festivals like Dashahra, Bhaijiuntia, Phagun Puni, Nuakhai, etc.
• The main theme of this dance form is Radha and Krishna, Ramayana and Mahabharata.

Additional Information

• Popular Dances of Odisha:
• Odissi Dance.
• Chhau Dance.
• Chaiti Ghoda.
• Danda Nata.
• Medha Nacha.
• Changu Dance.
• Karma Dance.

The correct answer is Bodo.

Key Points

• Bodo language was not included in the Eighth Schedule by the 71st Constitutional Amendment.
• The 71st Amendment Act, 1992 amended the 8th Schedule of the Constitution to include Konkani, Manipuri, and Nepali Languages in the 8th Schedule of the Constitution.
• The Constitutional provisions relating to the Eighth Schedule occur in articles 344(1) and 351 of the Constitution.
• The Eighth Schedule of the Indian Constitution contains a list of 22 scheduled languages.
• Bodo, Dogri, Maithili, Santhal languages are added by 92nd, Amendment, 2003.

Important Points

• Bodo is a Sino Tibetan language.
• It is the official language of the Bodoland autonomous region and the co-official language of the state of Assam in India.

Additional Information

The correct answer is 1946.

Key Points

• United Nations Children's Fund was formed in 1946 and is originally known as a United Nations International Children Emergency Fund.
• United Nations International Children's Emergency Fund, was created by the United Nations General Assembly on 11 December 1946.
• UNICEF was formed initially to provide emergency food and healthcare to children and mothers in countries that had been devastated by World War II.
• In 1953 it became a permanent part of the United Nations System, and the words international and emergency were dropped from the organization's name, though it retained the original acronym, UNICEF.

Important Points

• UNICEF Headquarters is located in New York City in the United States.
• Henrietta Fore became UNICEF's seventh Executive Director on 1 January 2018.
• Ludwik Witold Rajchman was the founder of UNICEF and served as its first Chairman from 1946 to 1950.

The correct answer is 1191.

Key Points

• The First Battle of Tarain was fought in 1191 between the Muhammad Ghori and Prithiviraj Chauhan and their allies, near Tarain.
• Ghori captured Bathinda and this brought him to the Northwestern frontier kingdom of Prithiviraj Chauhan.
• All Hindu Kings of north India formed a confederacy under the command of Prithiviraj Chauhan.
• Prithviraj's army lead by Govind Tai marched on to  Bathinda and fought with the Ghori army at Tarain.
• Ghori was wounded in a personal battle with Govind Tai and the Ghori army retreated and given the victory to Prithviraj Chauhan.

Important Points

• The Second Battle of Tarain (located in the present-day Haryana state) was fought in the year 1192.
• In 1192, Ghori returned and defeated and killed Prithviraj, who was betrayed by Jai Chand, on the same field.
• Delhi was occupied in 1192–93, and the whole of north India fell into Muslim hands within 20 years.
• The Turkish rule was the beginning of the Muslim rule in India which continued for more than 7 centuries.

The correct answer is Atal Pension Yojana.

• Atal Pension Yojana was previously known as Swavalamban Yojana.
• The scheme aimed to make senior citizens of the unorganized sector financially secure and independent.
• Swavalamban Yojana was launched in 2010 by the Government of India and it was replaced by Atal Pension Yojana in 2016.
• The scheme is monitored by the Pension Fund Regulation and Development Authority of India (PFRDA).
• Under the Scheme, the minimum investment to be made is Rs 1,000 and the Maximum investment to be made is Rs 12,000 Per annum and the Government will invest Rs 1000 per anum for 5 years in all active accounts.
• Indian citizens between the age group of 18 years and 60 years can get benefitted from this scheme.
• When replaced by Atal Pension Scheme the age bracket was reduced to 18-40 years.

The correct answer is Bhuvan.

• ISRO (Indian Space Research Organisation) developed an application called Bhuvan which allows users to explore a 2D/3D representation of the surface of the Earth.
• Bhuvan is also known as the Indian Version of Google Maps.
• It is a multi-purpose end-user satellite application platform.
• The current Chairman is K. Sivan. (April 2021)
• The Headquarters of ISRO is in Bengaluru.

The correct answer is Delhi Indira Gandhi International Airport Limited.

• Delhi Indira Gandhi International Airport Limited has become the first airport in India to become free of single-use plastics.
• They were following the September 2018 World Environment Day theme Beat Plastic Pollution.
• Delhi airport became plastic-free in 2019.
• They started using eco-friendly sustainable alternative and has significantly reduced its plastic waste generation.
• DIAL (Delhi International Airport Limited) Chief Executive Officer Videsh Kumar Jaipuriar.

The correct answer is P D Vaghela.

• Telecom Regulatory Authority of India was formed on 20th February 1997. It comes under the jurisdiction of the Department of Telecommunication, Ministry of Communications, Government of India. Its Headquarters is in New Delhi.

Additional Information

 Image of P. D. Vaghela:

The correct answer is Tawa.

• Tawa is the longest tributary of the Narmada River.
• It is the major river of Central India. It joins the Narmada River at the village of Bandra Bhan.
• Bori Sanctuary and Bori reserve forest were established along the river.

The correct answer is Maria Sharapova.

• Maria Sharapova was a tennis player who announced her retirement in February 2020.
• Maria Sharapova is a Russian tennis player.
• The capital of Russia is Moscow and the current President of Russia is Vladimir Putin. (March 2021)

Image of Maria Sharapova:

The correct answer is Cristiano Ronaldo.

• Cristiano Ronaldo is a football player from Portugal.
• Cristiano Ronaldo is a footballer who holds the record for the highest number of goals in a calendar year till February 2020.
• The capital of Portugal is Lisbon and the Current President of Portugal is Marcelo Sousa. (March 2021)

Image of Cristiano Ronaldo:

The correct answer is 2005.

• The Disaster Management Act 2005 was passed by Rajya Sabha on 28th November and Lok Sabha on 12th December and received the assent of the President of India on 23rd December.

Some of the important acts and their passing year:

Additional Information

The correct answer is Peat.

• Peat soil is soil rich in surface accumulation of organic matter.
• An accumulation of partially decayed vegetation is known as turf or peat.
• Alluvial soil is soil deposited by surface water and found in floodplains and deltas like Mississippi Delta, Alluvial fans, and Stream terraces.
• Red soil is a soil having thin organic and organic mineral layers overlying a yellowish-brown leached layer resting on an illuvial red layer. it is any group of soils that develop in a warm, temperate, moist climate under deciduous or mixed forests.
• Arid soil colour varies from red to brown and it is the soil of desert or semi-desert regions.

The correct answer is France.

• The capital of France is Paris.
• Emmanuel Macron is the current President of France. (March 2021)

Additional Information

Image of Jawed Ashraf:

The correct answer is Gandak.

• The Gandak river is also known as Narayani or the Gandaki river.
• One of the major rivers in Nepal is the Gandak River.
• It is the left bank tributary of the Ganges in India.
• The main source of the Gandak river is Nhubine Himal Glacier.

Additional Information

The correct answer is Third.

• The third Law of Thermodynamics states that it is impossible to create a thermodynamic process that is perfectly efficient.
• The third law of thermodynamics states that 'The entropy of a system approaches a constant value as its temperature approaches absolute zero'.
• The third law of thermodynamics was given by chemist Walther Nernst during the year 1906-1912.
• It is also known as Nernst's postulate or Nernst's theorem.

The correct answer is Babur.

• The Battle of Ghaghra was fought on 6th May 1529 at Ghaghra river near Chhapra in Bihar.

Image of Babur:

The correct answer is Jammu and Kashmir.

• On 31st October 2019, The state of Jammu and Kashmir was given the status of Union Territory of Jammu and Kashmir and Ladakh.
• Their official language is Kashmiri, Dogri, Urdu, Hindi, and English.
• The current Lieutenant Governor of Jammu and Kashmir is Manoj Sinha and the current Lieutenant Governor of Ladakh is Shri Radha Krishna Mathur. (March 2021).
• The capital of the Union territory of Jammu and Kashmir is Srinagar from May to October and Jammu from November to April and the capital of Ladakh is Leh and Kargil.
• The Union Territory does not enjoy any special status under section 370 of the constitution of India at present.

Image of Chakri folk music:

The correct answer is Neemrana Baori.

• Rani Ki Baoli is also known as Neemrana Baori in the local language.
• It is a 12-floor stepwell built for famine relief in Neemrana.
• It had a Majestic design built to protect from the scorching heat outside.
• As it was completely neglected now only ruins are remaining.
• It is located in Neemrana, Rajasthan.

Image of Rani ki Baoli:

Shortcut Trick

Ratio of CP to MP is given by (100 − D%) : (100 + P%).

Initial case: CP : MP = (100 − 25) : (100 + 25) = 75 : 125 = 3 : 5.

New case: D = 10%, so New SP = MP × (100 − 10) ÷ 100 = 5 × 0.9 = 4.5 units.

New Profit = New SP − CP = 4.5 − 3 = 1.5 units.

New Profit% = (1.5 ÷ 3) × 100 = 50%.

∴ The correct answer is 50%.

Alternate Method

Formulas: CP = SP × 100 ÷ (100 + P%) | SP = MP × (100 − D%) ÷ 100 | Profit% = (SP − CP) ÷ CP × 100

⇒ Let Marked Price (MP) = 100 units. ⇒ Initial Selling Price (SP₁) = 100 − 25% of 100 = 75 units. ⇒ Profit is 25%, so Cost Price (CP) = SP₁ × 100 ÷ 125 = 75 × 100 ÷ 125 = 60 units. ⇒ New Discount = 10%, so New Selling Price (SP₂) = 100 − 10% of 100 = 90 units. ⇒ New Profit = SP₂ − CP = 90 − 60 = 30 units. ⇒ New Profit% = (30 ÷ 60) × 100 = 50%.

∴ The correct answer is 50.

Additional Information

CP, MP, and Discount Relation

The formula CP/MP = (100 − D%)/(100 + P%) is a direct result of equating CP × (1 + P) = MP × (1 − D).

Marked Price & Discount

Marked Price is the price printed on an item. Discount is always calculated on the MP to arrive at the Selling Price.

From the Graph, 

We clearly seen , the highest no. of production of wheat in 2011 - 2012 

Wheat production in 2011 = 125 

Wheat production in 2012 = 300 

Percentage increase in wheat production = {(300 - 125)/125} × 100 = 140% 

∴ The Highest production increases of wheat is 140%

Given 

X took a loan = Rs 16000 

Formula used 

Simple Interest = principal × Rate × time/100 

Calculation 

Rate of interest = Time = x 

⇒ 4840 = 16000 × x²/100 

⇒ x = 5.5 percent

∴ The rate of Interest is 5.5 percent

Calculation 

⇒  72/8 × 63/(7 × 3) × 16/(24)

⇒ 9 × 3 × 1 = 27 

∴ The required answer is 27

Given 

The ratio of the salaries of X, Y and Z = 10 : 12 : 15 

Formula Used 

Percentage = (Actual/Total) × 100 

Calculation 

Salaries after increments 

⇒ X = 10x + 40% of 10x = 14x 

⇒ Y = 12x + 50% of 12x = 18x 

⇒ Z = 15x + 60% of 15x = 24x 

The ratio of new salaries of X, Y and Z = 14x : 18x : 24x 

⇒ 7 : 9 : 12 

∴ The Required Answer is 7 : 9 : 12

Given 

The HCF of two numbers = 32 

Formula Used 

Product of two numbers = HCF × LCM 

Calculation 

Let the two number be 32x and 32y 

x and y are co prime numbers 

So, LCM = 32xy 

⇒ 32xy = 32 × 8 × 13 

then x = 8 and y = 13 

So, Difference between two numbers = 32(y - x) = 32 × 5 = 160 

∴ The required answer is 160

Calculation:

1 day = 24 hours 

1 hours = 60 minutes 

1 minute/1day

⇒ 1minute/24 hours

⇒ 1minute/(24 × 60) minutes 

⇒ 0.000694

∴ The required answer is 0.000694

Given 

The average age of all the guests = 25 years 

The average age of all the male guests = 29 years 

Formula Used 

Average = Sum of observation/ No. of observation

Calculation 

Let the number of male guest be x and female guest be y 

⇒ Age of all guest = age of male guest + age of female guest 

⇒ 25(x + y) = 29x + 21y 

⇒ x : y = 1 : 1 

So, Percentage of male guest in party = (x/2x) × 100 = 50% 

∴ The required answer is 50%

Calculation: 

Prime Factorization of each number, 

⇒ 8 = 2 × 2 × 2 

⇒15 = 3 × 5 

⇒ 20 = 2 × 2 × 5 

⇒ 28 = 2 × 2 × 7

LCM of (8, 15, 20, 28) = 840 

So, 840 is also divisible by 12 

⇒ 840 = 12 × 70

∴ 840 is the least multiple of 8, 15, 20, and 28 which leaves a remainder of 0 when divided by 12.

Calculation:

LCM of (20, 25, 30 and 40) = 2 × 2 × 5 × 5 × 3 × 2 = 600 seconds 

so, after every 600 seconds all 4 bells toll together 

1 hours = 60 minutes 

In 1 hours = 3600 seconds 

So, no. of time they toll together in hour = (3600/600) + 1 = 7 times

∴ They toll together in an hour is 7 times

Mistake Points

In these type of question we assume that we have started counting the time after first ringing. Due to this when we calculate the LCM it gives us the ringing at 2nd time not the first time. So, we needed to add 1

Calculation:

Let the number is n.

According to question, 

160 × n² = (8 × n)³ 

⇒ 512n  = 160

⇒ n =160/512 = 0.3125

∴ the required number is 0.3125

Calculation:

⇒ 0.420420420....- 0.240240240.....

⇒ 420/999 - 240/999

⇒ (420-240)/999

⇒ 180/999

⇒ 20/111

∴ the value of 0.420420420....- 0.240240240..... is 20/111.

Given 

The selling price of a gift item = Rs 1200

Formula Used

Selling price = (Marked price /100) × (100 - discount%)

Calculation 

Let the cost price be 100x 

Marked Price of a gift item = 100x × (125/100) × (125/100) = 156.25x 

Selling price of a gift item = (156.25x/100) × 80 = 125x 

⇒ 125x = 1200 

⇒ x = 1200/125 

⇒ 100x = (1200/125) × 100 = Rs 960

∴ The cost price of a gift item is Rs 960

Calculation 

0.051051051.... = x/y 

⇒ 0.0̅5̅1 = x/y 

We know that when the recurring digit converting into fraction 9 comes in denominator rather than 10

⇒  0.0̅5̅1 = 51/999 = 17/333

∴ The required answer is 17/333

Given 

The other two side of triangle = 30 m and 25 m

Formula Used 

H² = P² + B²

Calculation 

Hypotnuese = √(30² + 40²) = 50 m 

So, Total distance along the sides = 30 m + 40 m = 70 m 

then, A man saved distance by not walking along the side = 70 - 50 = 20 m 

∴ The distance saved by not walking along the side is 20 m

Given 

60 items were purchased = Rs 72 

Formula Used 

Profit percent = (profit/cp) × 100 

Calculation 

Cost price of 1 item = 72/60 = Rs 1.2

Selling price of 1 item = 36/24 = Rs 1.5 

Profit Percent = (.3/1.2) × 100 = 25% 

∴ The Profit Percent is 25%

Given 

Total distance of journey = 450 kms

Formula used 

Average speed = Total Distance/Total time 

Calculation 

Average speed = [450/{(300/60) + (150/37.5)}] 

⇒ 450/(5 + 4) = 50 km/hr 

∴ The average speed of man is 50 km/hr

Given 

Total Money in bag = Rs 30

Formula used 

Total value = no. of coins × value per coin

Calculation 

                                   25 p     50 p     Rs 1

Value per coin              1    :     2      :    4

No. of coins                  8    :    4       :   1 

total Value                    8    :     8      :   4

Total Value = 30 

⇒ 20x = 30 

⇒ x = 1.5 

Value of 50p coins = 8x = 8 × 1.5 = Rs 12

No. of coins = 12 × 2 = 24 

∴ No. of 50 paise coins are 24

From the Graph, 

Total sales of shirts = Rs 20000

Highest selling size of shirts are XS and M = 35% and 24% 

Lowest Selling size of shirts are XL and XXS = 6% and 9% 

Difference of Highest selling and lowest selling  = (35% + 24%) × 20000 - (6% + 9%) × 20000 

⇒ [(59 - 15)/100] × 20000 = 44 × 200 = 8800 

∴ The highest selling 2 sizes differ from the least selling 2 sizes is 8800

Calculation 

firstly we divide the largest 5 digit number i.e. 99999 by 11 

So, we get remainder 9 

so, 99999 - 9 = 99990 is largest 5 digit number which is divisible by 11 

Then Sum of digit = 36 

∴ 36 is the sum of digits of the largest 5-digit number divisible by 11.

Given 

A can do a work = 30 days 

B can do a work = 40 days 

C can do a work = 48 days 

Formula Used 

Work = time × efficiency 

Calculation 

LCM of (30, 40 and 48) = 240 

let total work be 240 

Efficiency of A = 240/30 = 8/day

Efficiency of B = 240/40 = 6/ day

Efficiency of C = 240/48 = 5/day

1st 2 days work by A alone , so total work in 2 days = 16 

on 3rd day, they work together , so total work on 3rd day = 19 

3 days work = 16 + 19 = 35 

⇒ 3 days × 6 = 35 × 6 

⇒ 18 days work = 210

⇒ another 2 days work = 16 

so, Remaining work by them after 20 days in time = 14/19 = .73 

then total time to complete the work = 20 + .73 = 20.73 days 

∴ The Required answer is 20.73 days.

Given 

X investment for 2 years is Rs. 10,000 

Formula Used 

Compound interest = {P(1 + r/200)2t} – P 

Calculation 

Compound interest = {10,000(1 + 20/200)4} – 10 ,000

⇒ 10,000(1 + 1/10)4 – 10 ,000

⇒ 10,000 × 11/10 × 11/10 × 11/10 × 11/10 – 10 ,000

⇒ 14641 – 10000 = 4641 

∴ The interest will earn after 4 years is Rs 4641.

Given 

Total amount = Rs 1120 

Calculation 

I : II : III = 4/5 ∶ 5/4 ∶ 3/4

I : II : III = 16 : 25 : 15 

Total = 1120 

⇒ 56x = 1120 

⇒ x = 20 

so, 2nd part = 25x = 25 × 20 = Rs 500 

∴ The required answer is Rs 500

Given 

Total Distance covered in 12 hours = 120 km

Formula Used 

Distance = speed × time 

Calculation 

Let the distance covered on foot be x 

⇒ x/8 + {(120 - x)/11} = 12 

⇒ x = 32 km 

So, time taken to cover 32 km on foot = 32/8 = 4 hours 

∴ The required answer is 4 hours

Given 

A vegetable seller sold vegetable in a week = Rs 1500 

Calculation 

25% on cost price = 1/4 

so , cost price = 4x  and profit = x 

then, selling price = 5x 

⇒ 5x = 1500 

⇒ x = 300 

∴ The profit for vegetable seller is Rs 300

Given

Total marks of exam = 50 

Formula Used 

Percentage = (actual/Total) × 100

Calculation 

Increase in marks = 4 × 2 = 8 

Increase percentage = (8/50) × 100 = 16% 

∴ The percentage of the student is 16% increase

Given 

A and B can do work = 30 days 

Formula used 

Work = Time × Efficiency 

Calculation 

Let the efficiency of A and B be x and y 

⇒ (x + y) × 30 = (x + y) × 24 + x × 8 

⇒ 2x = 6y 

⇒ x : y = 3 : 1 

⇒ Total work = 4 × 30 = 120 

⇒ A can do finish work alone = 120/3 = 40 days 

∴ A can do work alone in 40 days

Given 

Base increased = 30% 

Formula Used 

Successive percentage = x% - y% - (xy/100)% (if one thing is negative)

Calculation 

Increase percentage in Area = 30 - 20 - (30 × 20)/100

⇒ 4% 

∴ The area of triangle is increased by 4%

Formula Used 

Percentage = (actual/total) × 100 

Calculation 

Let the 3rd number be 100x 

So, 1st number = 100x + 60% of 100x = 160x 

and 2nd number = 100x - 20% of 100x = 80x 

Ratio of their numbers = 160x : 80x = 2 : 1 

∴ The ratio of 2 numbers is 2 : 1

Given 

Amounts in simple interest after 10 years = 300% of principal 

So

simple interest after 10 years = 300% of principal - 100% of principal = 200% of principal

Formula Used 

simple interest = principal × rate × time/100

Compound Interest = p(1 + r/100)^t - p 

Calculation 

Let the principal be x 

Simple interest = x × 10 × R/100

⇒ 2x = x × R/10 

⇒ R = 20% 

Compound interest = 50,000(1 + 20/100)² - 50,000 

⇒ 50000 × 36 × 25 - 50000 = 22000 

∴ The compound interest is Rs 22000.

Shortcut Trick

CP of article 1 = 1200 ÷ 1.2 = 1000

CP of article 2 = 1350 ÷ 0.9 = 1500

Total CP = 1000 + 1500 = 2500

Total Profit = (1200 − 1000) + (1350 − 1500) = 200 − 150 = 50

Gain % = (50 ÷ 2500) × 100 = 2%

∴ The correct answer is 2 percent.

Alternate Method

Given: SP₁ = ₹1200, Profit = 20% | SP₂ = ₹1350, Loss = 10%

Formula Used: CP = SP × 100 ÷ (100 ± P/L %)

CP1 = 1000 +200 SP1 = ₹1200 CP2 = 1500 -150 Loss SP2 = ₹1350 Total CP = ₹2500 Total SP = ₹2550 Gain = ₹50

⇒ Cost Price of Article 1 (CP₁) = 1200 × (100 ÷ 120)

⇒ CP₁ = ₹1000

⇒ Cost Price of Article 2 (CP₂) = 1350 × (100 ÷ 90)

⇒ CP₂ = ₹1500

⇒ Total CP = 1000 + 1500 = ₹2500

⇒ Total SP = 1200 + 1350 = ₹2550

⇒ Total Gain = 2550 − 2500 = ₹50

⇒ Gain Percent = (50 ÷ 2500) × 100

⇒ Gain Percent = 50 ÷ 25 = 2%

∴ The correct answer is 2 percent.

Additional Information

Net Profit/Loss when SP is same

If two articles are sold at the same SP, one at x% profit and another at x% loss, there is always a loss of (x/10)² %.

Marked Price and Discount

Selling Price (SP) = Marked Price (MP) × (100 − Discount%) ÷ 100.

Successive Discounts

For two successive discounts of a% and b%, the effective discount is (a + b − ab/100)%.

Calculation 

Let the number be x 

According to Question

⇒ 14² + 13² = 196 + 169 = 365 

361 is a perfect square which is near by 365 

so, 365 - x = 361 

⇒ x = 4 

∴ 4 is minimum number

Given 

The average weight of A, B and C = 72 kg

The average weight of A and B = 78 kg

The average weight of A and C = 71 kg

Formula Used 

Average = Sum of data/No. of data 

Calculation

Total weight of A, B and C = (A + B + C) × 3 = 72 × 3 = 216 kg

Total weight of A and B = (A + B) × 2 = 78 × 2 = 156 kg

Total weight of A and C = (A + C) × 2 = 71 × 2 = 142 kg

Weight of C = Total weight of A, B and C - Total weight of A and B = 216 - 156 = 60

Weight of A = Total weight of A and C - Weight of C = 142 - 60 = 82 kg

∴ The Weight of A is 82 kg

Given

Number of units produced of an item by 3 companies in various years

Calculation

The Average of each year for all 3 companies

⇒ Average of year 2014 = (440 + 400 + 360)/3 = 1200/3 = 400

⇒ Average of year 2015 = (400 + 520 + 300)/3 = 1220/3 = 407

⇒ Average of year 2016 = (450 + 430 + 520)/3 = 1403/3 = 467

⇒ Average of year 2017 = (420 + 330 + 450)/3 = 1200/3 = 400

⇒ Average of year 2018 = (500 + 580 + 500)/3 = 1580/3 = 527

From above data 

∴ The average production was same in which year by the companies is2014 and 2017 Year

Given

Two sides of a parallelogram = 15 cm and 20 cm

Altitude to corresponding to the side of the length 15 cm = 4 cm

Formula Used 

Area of Parallelogram = Base × Height

Calculation

The given figure ABCD is a parallelogram with AO is the altitude corresponding to the side CD and CP is the altitude corresponding to side AD.

So, Take AD = 20 cm CD = 15cm and AO = 4cm. 

We have to find length of CP.

⇒  Area of a parallelogram with base CD and altitude AO is,

 Area of parallelogram ABCD = CD × AO

⇒ 15 × 4  = 60 cm                     

Area of parallelogram = 60 cm 

⇒ Area of parallelogram ABCD with base AD and altitude CP, as area will remain same.

Area of parallelogram ABCD=AD × CP

⇒ 60 = 20 × CP

⇒ CP = 3 cm

∴ The altitude to the side of length 3 cm

Calculation:

From the graph,

100% → 20,000

Second highest selling size = M = 24%

Second lowest selling size = XXL = 9%

Difference between second highest and second lowest selling sizes = 24% — 9% = 15%

The difference in number = 15 × 20,000/100 = 3000

∴ The required difference is 3000.

Given

The diagonal of rectangular pool = 25 ft

Formula Used 

H² = P² + B²

Area of rectangle = Length × Breadth

Calculation 

In Δ ABD 

⇒ 25² = 20² + AD² 

⇒ AD = 15 

Area of Rectangle = AB × AD = 20 × 15 = 300 sq.ft. 

∴ The Area of Rectangle is 300 sq. ft.

Given

Percentage of Simple interest received on amount = 80%

Time for Simple interest t = 10 years

Principal P = Rs.10000

Time of Compound interest t = 2years

Formula used

Simple interest = P × r × t /100

Compound interest = P(1 + r /100)^t - P

Calculation

For Simple interest

Simple Interest on amount = 80% of amount

⇒ 80/100 × 10000

⇒  Rs.8000

Simple interest = P × r × t / 100

⇒ 8000 = 10000 × r × 10 /100

⇒ r = 8 % per annum

For compound interest 

Rate of compound interest as determined above = 8 % per annum

Compound interest = P(1 + r /100)^t- P

⇒ 10000(1 + 8 /100)2 - 10000

⇒ 10000(27/25)² - 10000

⇒ 10000 × 27/25 ×27/25 - 10000

⇒ 11664 - 10000

⇒ Rs.1664

∴Compound interest is Rs.1664