CISF Constable/Tradesmen (2019) Official Paper (Held On : 21 March 2021). (Previous Year Paper)

The correct answer is Kilobyte.

Key Points

• The Kilobyte is the smallest unit of measurement greater than a byte.
• It precedes the megabyte, which contains 1,000,000 bytes, while one kilobyte is technically 1,000 bytes.
• Kilobytes are often used synonymously with kibibytes, which contain 1,024 bytes.
• Kilobyte (KB) = 1 KB = 1024 Bytes
• Megabyte (MB) = 1 MB = 1024 KB
• GigaByte (GB) = 1 GB = 1024 MB
• TeraByte (TB) = 1 TB = 1024 GB
• PetaByte (PB) = 1 PB = 1024 TB

Additional Information 

• The memory unit is the amount of data that can be stored in the storage unit.
• A group of 8 bits is called a byte.
• A byte is the smallest unit, which can represent a data item or a character.

The correct answer is Justice Pinaki Chandra Ghose.

Key Points

• The First Chairperson of the Lokpal is Shri Justice Pinaki Chandra Ghose.
• He is a former Judge of the Supreme Court of India and was a sitting member of the National Human Rights Commission.

Additional Information 

• The Lokpal consists of a Chairperson and eight members.
• Four of the judicial members have been former Chief Justices of different High Courts and the four non-judicial members have been from All India Services/Central Services.
• The Chairperson and members bring with them rich experience and probity, which they have maintained in the public offices that they have held.
• Lokpal is an anti-corruption authority or body of the ombudsman who represents the public interest in the Republic of India.

Important Points

• The term "Lokpal" was coined by Dr. L.M.Singhvi in 1963.
• To establish an anti-corruption institution called Lokpal at the National level, supported by Lokayukta at the state level.
• As is the case with the Supreme Court of India and Cabinet Secretariat, the Lokpal will be supervised by the Cabinet Secretary and the Election Commission.

The correct answer is Arabian Sea.

Key Points

• Tapti and Narmada rivers fall into the Arabian Sea.
• The other rivers that flow into the Arabian Sea are Sindhu, Purna, and Sabarmati.

Additional Information

• Narmada River - Also known as Reva.
• It is also known as the "Life Line of Madhya Pradesh and Gujarat".
• State - Madhya Pradesh, Maharashtra, Gujarat
• Basin area - 98,796 km2
• Length - 1,312 km
• Source -  Narmada Kund (Vindhyachal Parvat Amarkantak Plateau, Anuppur district, Madhya Pradesh)
• Mouth - Gulf of Khambhat (Arabian Sea), Bharuch District, Gujarat​​
• Tapi River - ​
• State - Madhya Pradesh, Maharashtra, Gujarat
• Basin area - 62,225 km2
• Length - 724 km
• Source - Multai, Madhyapradesh
• Mouth -  Gulf of Khambhat (Arabian Sea), Dumas, Surat, Gujarat​

The correct answer is Chief Justice of India.

Key Points

• According to Article 79 of the Indian Constitution, there shall be a Parliament for the Union which shall consist of the President and two Houses to be known respectively as the Council of States and the House of the People.
• Hence Chief Justice of India  is not a part of the Parliament in India.
• Indian Parliament:
• The Indian Parliament is a bicameral legislature consisting of two houses – the Lok Sabha and the Rajya Sabha.
• The members of the Lok Sabha (House of the People) are directly elected by the people through the voting process.
• The members of the Rajya Sabha (Council of States) are elected by the members of the states’ legislative assemblies.
• The Parliament consists of the two Houses and the President of India.
• India has a parliamentary system of government.
• The Union Parliament is the supreme legislative body in the country.

Additional Information

Functions of Parliament:

• Legislative Functions:
• The Parliament legislates on all matters mentioned in the Union List and the Concurrent List.
• In the case of the Concurrent List, where the state legislatures and the Parliament have joint jurisdiction, the union law will prevail over the states unless the state law had received the earlier presidential assent.
• However, the Parliament can any time, enact a law adding to, amending, varying, or repealing a law made by a state legislature.
• Executive Functions (Control over the Executive):
• By a vote of no-confidence, the Parliament can remove the Cabinet (executive) out of power.
• It can reject a budget proposal or any other bill brought by the Cabinet.
• A motion of no-confidence is passed to remove a government from office.
• The MPs (Members of Parliament) can ask questions to the ministers on their ommissions and commissions.
• Any lapses on the part of the government can be exposed in the Parliament.
• Financial Functions:
• The Union Budget prepared by the Cabinet is submitted for approval by the Parliament.
• All proposals to impose taxes should also be approved by the Parliament.
• There are two standing committees (Public Accounts Committee and Estimates Committee) of the Parliament to keep a check on how the executive spends the money granted to it by the legislature.
• Amending Powers:
• The Parliament has the power to amend the Constitution of India.
• Both Houses of Parliament have equal powers as far as amending the Constitution is concerned.
• Amendments will have to be passed in both the Lok Sabha and the Rajya Sabha for them to be effective.

The correct answer is Bauxite.

Key Points

• Bauxite is an aluminium-rich sedimentary rock formed from laterite soil.
• It is found in tropical or subtropical regions.
• Bauxite is used for the production of Aluminium.
• Bauxite is a non-ferrous metallic mineral that is used in the manufacturing of aluminium.
• Bauxite is found mainly in tertiary deposits and is associated with laterite rocks.

Important Points

• Odisha is the largest bauxite-producing state in India.
• More than half of India's bauxite deposits are found in Odisha.
• Bauxite is an important mineral used in the production of aluminium.

Additional Information

Important ores:

The correct answer is Dioptre.

Key Points

• Dioptre is the S.I. Unit of refractive Power of a lens.
• A dioptre is equal to the reciprocal of the focal length measured in metres.
• Power of a lens is the ability of a lens to converge or diverge light rays depending on its focal length.

Additional Information

• 7 Basic SI units with their quantities:

The correct answer is Shaktikant Das.

Key Points

• Shri Shaktikanta Das, IAS Retd., former Secretary, Department of Revenue and Department of Economic Affairs, Ministry of Finance, Government of India assumed charge as the 25^th Governor of the Reserve Bank of India effective December 12, 2018.

Important Points

• The Reserve Bank of India
• It was established on April 1,1935, under the provisions of the Reserve Bank of India Act, 1934.
• The Central Office of the Reserve Bank was initially established in Kolkata but was permanently moved to Mumbai in 1937.
• The Central Office is where the Governor sits and where policies are formulated.
• Though originally privately owned, since nationalization in 1949, the Reserve Bank is fully owned by the Government of India.
• RBI is an institution of national importance and the pillar of the surging Indian economy.

Additional Information

• Dr. Urjit R. Patel was twenty-fourth Governor of the Reserve Bank of India effective September 4, 2016 after serving as Deputy Governor since January 2013.
• Raghuram Rajan, an Indian economist and 23^rd Governor of the RBI is the author of the book 'I Do What I Do'.

The correct answer is Rastrakuta King.

Key Points

• Amoghavarsha I was a famous king of the Rashtrakuta Dynasty.
• The reign of Amoghavarsha is from 800 to 878 AD (though some scholars say that his reign was 62 years), one of the longest reigns.
• Amoghavarsha was a patron of the Jains and liberally patronized the Digambara sect of Jains.

Additional Information

Rulers of the Rashtrakuta dynasty.

• Dhruva (c. 780−793 CE)
• During his reign, the kingdom expanded into an empire that included all the territory between the Kaveri River and central India.
• Govind III (c.793−814 CE)
• It was Dhruvaputra who took the Rashtrakutas to greater heights. He became the winner in the tripartite struggle.
• Krishna III (c.939−967 CE) 
• The last great Rashtrakuta ruler, consolidated the empire so that it extended from the Narmada river to the Kaveri river and included the northern Tamil country (Thondaimandalam) and paid tribute to the king of Ceylon.

The correct answer is Champaran Satyagraha.

Key Points

• Champaran Satyagraha was started by Mahatma Gandhi in 1917 to look into the problem of the Tinkathia system in which peasants of Champaran were forced to grow Indigo on 3/20^th of the total land. 
• In this background, Raj Kumar Shukla persuaded Gandhi to look into the peasants problem.

Additional Information

• The Dandi March was an act of nonviolent civil disobedience in colonial India led by Mahatma Gandhi.
• It began at the Sabarmati Ashram on 12 March 1930.
• It ended on 6 April 1930 with Gandhi and his followers breaking the salt law in the coastal village of Dandi.
• The "Jallianwala Bagh" Massacre took place on 13 April 1919.
• The incident happened in the backdrop of protests against the Rowlatt Act and the subsequent arrest of Dr. Satyapal and Saifuddin Kichlew.
• After this incident, Rabindra Nath Tagore renounced his Knighthood.
• Mahatma Gandhi gave up the title of Kaiser-i-Hind and withdrew the Satyagrah against Rowlatt act.
• The 'Khilafat Movement Day' was observed on 17^th October 1919.
• The movement has three main objectives they were:​
• The Ottoman Caliphate should retain his Empire in Turkey.
• The Caliph must be provided with sufficient Territory so as to enable him to defeat the Islamic Faith all around the world.
• The Arab lands that are Syria, Iraq, Palestine, and Arabia, must stay under the Muslim rule.​
• Hence Champaran Satyagraha occurred first among the given events.

The correct answer is Rajya Sabha is also called popular chamber.

Key Points

• For both Lok Sabha and Rajya Sabha, the quorum for the establishment of a House sitting is one-tenth of the total number of House members.
• The minimum number of members required to be present before a meeting is permitted to begin is a quorum.
• Hence statement 1 is correct.
• The lower house of a parliament or Lok sabha is called a Popular Chamber because it is composed of representatives of the people chosen by direct election on the basis of universal adult suffrage.
• Hence statement 2 is Incorrect.
• The speaker and the deputy speaker are the presiding officers of the Lok Sabha.
• Hence statement 3 is correct.
• If a dispute arises as to whether a Bill is a Money Bill or not; the decision of the Speaker of the Lok Sabha is final.
• The Rajya Sabha has no power to reject a Money Bill.
• It can only make recommendations, i.e., suggestions.
• Hence statement 4 is correct.

The correct answer is Vitamin D.

Key Points

• Vitamin D deficiency can lead to a loss of bone density, which can contribute to osteoporosis and fractures (broken bones).
• Severe vitamin D deficiency can also lead to other diseases. In children, it can cause rickets.
• Rickets is a rare disease that causes the bones to become soft and bend.

Important Points

• Vitamin D helps your body absorb calcium.
• Calcium is one of the main building blocks of bone.
• Vitamin D also has a role in your nervous, muscle, and immune systems.
• There are a few foods that naturally have some vitamin D:
• Fatty fish such as salmon, tuna, and mackerel
• Beef liver
• Cheese
• Mushrooms
• Egg yolks

Additional Information

• Vitamin A is a fat-soluble vitamin.
• It is important for normal vision.
• Vitamin B is a water-soluble vitamin.
• It is necessary to consume a quantity of Vitamin- B complex.
• Vitamin C is known as Ascorbic Acid.
• It is a water-soluble vitamin.

The correct answer is A - 4, B - 5, C - 2, D - 1, E - 3.

Key PointsCorrect match is:

Additional InformationThe Indian States and their Capitals:

The correct answer is Lawn Tennins.

Key Points

• The Hopman Cup is an international eight-team indoor hardcourt tennis tournament that plays mixed-gender teams on a country-by-country basis.
• It was held in Perth, Western Australia each year from 1989 to 2019.
• It was replaced on the calendar in 2020 by the ATP Cup, a newly created ATP event.
• It is set to return to the calendar in 2023 in a French venue.
• Other Tennis tournaments:
• Davis Cup, Billie Jean King Cup, Hopman Cup, Laver Cup, ATP Cup ​

Additional Information

The correct answer is Uttarakhand.

Key Points

• Lipulekh Pass is in the state of Uttarakhand.
• Lipulekh is a Himalayan pass on the border between Uttarakhand, India, and Tibet, China.
• This pass is a vital border pass for trade with China.
• The southern side of the pass is controlled by India but claimed by Nepal.

Important Points

• Other Important passes in Uttarakhand 
• Mana Pass: It is located in the Greater Himalayas and connects Tibet with Uttarakhand.
• Niti Pass: It is located in Uttarakhand and connects with Tibet.

Additional Information

The correct answer is 552, 530.

Key Points

• The maximum strength of Lok Sabha as envisaged by the constitution is 552 which is made up by election of upto 530 members to represent the states.
• Maximum strength of the House is 552 members.
• 530 members to represent the States,
• 20 members to represent the Union Territories, and 2 members to be nominated by the President from the Anglo-Indian Community.

Confusion Points

• 104^th Amendment Act, 2020
• It removed the reserved seats for the Anglo-Indian community in the Lok Sabha and state assemblies.
• The maximum strength of the House envisaged by the Constitution is now 550.

Additional Information

• Article 81 of the Constitution of India 1949 has specified the maximum strength of Members of Parliament in the Lok Sabha to be 552.
• Lok Sabha is the lower house, while Rajya Sabha is the upper house of the Parliament.
• Article 80 of the Indian Constitution lays down the maximum strength of Rajya Sabha as 250, out of which 12 members are nominated by the President and 238 are representatives of the States and of the two Union Territories.
• The Vice President of India will act as Ex-Officio Chairman of Rajya Sabha.

The correct answer is 1968.

Key Points

• Central Industrial Security Force Act was enacted in 1968.
• CISF is one of the Central Armed Police Forces.
• CAPF is divided into three forces
• Border Guarding Forces- Assam Rifles (AR), Border Security Force (BSF), Indo-Tibetan Border Police (ITBP) and Sashastra Seema Bal (SSB)
• Forces for Internal Security- Central Industrial Security Force (CISF) and Central Reserve Police Force (CRPF)
• **Special Task Force-**National Security Guard (NSG).
• The Headquarters of CISF is in Delhi.
• It is governed by Ministry of Home Affairs.

The correct answer is option 2.

Key Points

• The winners of the Rajiv Gandhi Khel Ratna in 2020 are Rohit Sharma (cricket), Manika Batra (Table tennis), Mariyappan Thangavelu (Paralympics), Rani Rampal(Hockey), and Vinesh Phogat(Wrestling).
• This award has been renamed to Major Dhyan Chand Khel Ratna.​

Additional Information

• First time Major Dhyan Chand Khel Ratna was given to Vishwanathan Anand.
• First women - Karnam Malleshwari
• Only person to win this for 2 sports - Pankaj Adwani (Snooker, Billiard)
• First cricketer to win this is Sachin Tendulkar.

The correct answer is Sikkim.

Key Points

• Sikkim was not included in the schedule of the assembly elections.
• The Election Commission in February 2021 announced the schedule for Assembly elections in Assam, Kerala, West Bengal, Tamil Nadu and Puducherry.

Additional Information

• The election commission (EC) is responsible for conducting elections of Parliament i.e. Lok Sabha, Rajya Sabha and the President.
• They also conduct the election of the Vice President.
• Election Commission is mentioned in part 15, article 324-329-A of the Indian Constitution.
• It has 3 members The chief election commissioner (CEC) and 2 election commissioners.
• CEC is appointed by the president for a period of 6 years.
• And can be removed through Impeachment.

The correct answer is India.

Key Points

• The 13^th BRICS summit was held in India.
• The theme for the summit was 'cooperation for continuity, consolidation, and consensus'.

Additional Information

• China is the chair of the 14^th BRICS Summit happening in 2022.
• The BRICS members are known for their significant influence on regional affairs.
• Since 2009, the governments of the BRICS states have met annually at formal summits.
• The BRICS: 
• Founded: 16 June 2009
• India: Prime Minister Narendra Modi
• Russia: President Vladimir Putin
• South Africa: President Cyril Ramaphosa
• Brazil: President Jair Bolsonaro
• China (2022 host): President Xi Jinping

The correct answer is Uttrakhand.

Key Points

• Tapovan Vishnugad Hydro Power Plant is in Uttrakhand.
• It is built on the Dhauliganga river.
• Dhauliganga is a tributary of ​Alaknanda and joins it at Vishnu Prayag.
• Alaknanda originates at Satopath glacier.
• Alaknanda and Bhagirathi meet at dev Prayag to form Ganga.
• ​Before meeting Bhagirathi, Alaknanda is joined by Kaliganga at rudra prayag.
• Pindar at karnapryag and Nandakini at nandprayag.
• Bhagirathi originates from Gangotri glacier.
• Ganga meets Yamuna at Prayag in Prayagraj.

Calculation:

a : b = 7 : 9 

⇒ a/b = 7/9                  ------(1)

b : c = 5 : 7

⇒ b/c = 5/7                  ------(2)

Multiplying (1) by (2)

⇒ a/b × b/c = 7/9 × 5/7

⇒ a/c = 5/9

∴ The correct answer is 5 : 9

Calculation:

Let milk & water present in the original mixture be 2x & x respectively.

⇒ 2x + x = 45

⇒ x = 45/3 = 15 litres

⇒ Milk in original mixture = 2x = 2 × 15 = 30 litres

⇒ Water in original mixture = x = 15 litres

Let the quantity of water added = y litres

⇒ New water quantity = 15 + y 

⇒ \(\frac{Milk}{Water}= \frac{30}{15+y}=\frac{1}{2}\)

⇒ 60 = 15 + y

⇒ y = 60 - 15 = 45 litres

∴ The correct answer is 45 litres

Formula Used:

Average = Sum of observations/Total no. of observations

Calculation:

Using the above formula -

⇒ Sum of marks in 4 subjects = 91 × 4 = 364

⇒ Average of 6 subjects = \(\frac{364+176}{6}\) = \(\frac{540}{6}\) = 90

∴ The correct answer is 90

Given:

P = 1200, T = 8 years

Formula Used:

Amount = Principal + Simple Interest

Simple interest = \(\frac{P× R× T}{100}\)

Calculation:

Using the above formula -

⇒ 2 × 1200 = 1200 + \(\frac{1200× R× 8}{100}\)

⇒ 2400 - 1200 = 96 R

⇒ 1200/96 = R = 12.5 %

∴ The correct answer is 12.5

Shortcut Trick

 Correct average weight = Incorrect average + \(\frac{Change: in :weight}{No.: of :students}\)

Correct average weight

⇒  89.4 + (87 - 78)/20 = 89.4 + 0.45 = 89.85 kg 

∴ The correct answer is 89.85 kg

Alternate Method

⇒ Sum of observations = 89.4 × 20 = 1788

⇒ Correct sum of observations = 1788 - 78 + 87 = 1797

⇒ Correct average weight = 1797/20 = 89.85 kg

∴ The correct answer is 89.85 kg

Shortcut Trick

For any two numbers, the product of the numbers is equal to the product of their HCF and LCM.

I^st Number × II^nd Number = HCF × LCM

24 × II^nd Number = 8 × 48

II^nd Number = (8 × 48) ÷ 24 = 16

∴ The correct answer is 16.

Alternate Method

Given:

HCF of the two numbers = 8

LCM of the two numbers = 48

One of the numbers = 24

Formula Used:

Product of two numbers = HCF × LCM

If the two numbers are a and b, then:

⇒ a × b = HCF(a, b) × LCM(a, b)

Calculation:

Let the other number be x.

⇒ 24 × x = 8 × 48

⇒ x = (8 × 48) ÷ 24

⇒ x = 8 × (48 ÷ 24)

⇒ x = 8 × 2

⇒ x = 16

∴ The correct answer is 16.

Additional Information

Relation between HCF and LCM

For any two given numbers, the product of the numbers is always equal to the product of their HCF and LCM. i.e., a × b = HCF × LCM. Note that this rule is applicable only for two numbers, not for three or more.

HCF and LCM of Fractions

LCM of fractions = LCM of Numerators ÷ HCF of Denominators.

HCF of fractions = HCF of Numerators ÷ LCM of Denominators.

Co-prime Numbers

Two numbers are said to be co-prime (or mutually prime) if their HCF is 1. The LCM of two co-prime numbers is always equal to their product.

Formula Used:

Area of rectangle = Length × breadth

Area of square = side × side

Calculation:

Let the Side of square = s

Using the above formula -

⇒ s × s = 240 × 60

⇒ s² = 60 × 2 × 2 × 60

⇒ s = 60 × 2 = 120 m

Formula Used:

\(\frac{M_{1}D_{1}H_{1}}{W_{1}}=\frac{M_{2}D_{2}H_{2}}{W_{2}}\)

Where  M = No. of men, D = No. of days,

H = No. of hours ,W = Work done

Calculation:

Using the above formula -

⇒ 8m × 25 = 12w × 25

⇒ m/w = 12/8 = 3/2              ...(1)

⇒ Efficiency of men/Efficiency of Women = 3/2

According to the question -

Let D be no.of days required by 6 Men & 11 Women to complete work.

⇒ 8m × 25 = (6m + 11w) × D

⇒ 8m × 25 = (6m + 11 × \(\frac{2}{3} \)m)D       [From (1)]

⇒ 200m = (\(\frac{18+22}{3} \))m× D

⇒ 200 × 3 = 40 × D

⇒ D = 600/40 = 15

∴ The correct answer is 15 days.

Alternate Method 

    Efficiency (work/day)                                               T.W (LCM)

     600/200 = 3                     Man     (8×25) = 200

                                                                                             600

     600/300 = 2                   Women  (12×25) = 300

Work done by 6 men and 11 women

⇒ 6 × 3 + 2 × 11 = 18 + 22 = 40

Required time = 600/40 = 15 days

Mistake Points Please note that, in the question, 8 men or 12 women can do a piece of work in 25 days, not the 8 men and 12 women.

Calculation:

Let salary of A, B & C be x, y & z respectively.

⇒ Savings of A = x - 80% of x = 20% of x

⇒ Savings of B = y - 85% of y = 15% of y

⇒ Savings of C = z - 75% of z = 25% of z

⇒ Ratio of savings, A:B:C = 20% of x : 15% of y : 25% of z

⇒ A : B : C = x/5 : (3/20)y : (1/4)z

⇒ A : B : C = 4x : 3y : 5z 

Let savings be 8k ,9k & 20k

⇒ 4x = 8k , x = 2k

⇒ 3y = 9k , y = 3k

⇒ 5z = 20k , z = 4k

⇒ 2k + 3k + 4k = 144000

⇒ 9k = 144000

⇒ k = 144000/9 = 16000

⇒ Salary of C = 4k = 4 × 16000 = 64000

∴ The correct answer is ₹ 64,000

Shortcut Trick

Assume Total Work (Capacity) = LCM of 20, 40, and 60 mins = 120 units.

Efficiency of Pipe A = 6, Pipe B = 3, and Net (A+B−C) = 2.

Efficiency of Waste Pipe C = (6 + 3) − 2 = 7 units/min.

Given 7 units = 35 gallons/min ⇒ 1 unit = 5 gallons.

Capacity = 120 units × 5 = 600 gallons.

∴ The correct answer is 600 gallons.

Alternate Method

Given: Filling time of Pipe 1 = 20 min, Pipe 2 = 40 min, Combined time with waste pipe = 1 hr (60 min). Draining rate = 35 gallons/min.

⇒ Let the efficiency of the waste pipe be C.

⇒ Efficiency of A + Efficiency of B − Efficiency of C = Net Efficiency

⇒ 6 + 3 − C = 2

⇒ 9 − C = 2 ⇒ C = 7 units/min

⇒ The waste pipe drains 7 units every minute, which equals 35 gallons.

⇒ 1 unit = 35 ÷ 7 = 5 gallons

⇒ Total capacity of the cistern = Total units × Value of 1 unit

⇒ Total capacity = 120 × 5 = 600 gallons

∴ The correct answer is 600 gallons.

Additional Information

Inlet and Outlet Pipes

An inlet pipe fills a cistern (positive work), while an outlet (waste) pipe empties it (negative work).

Capacity Calculation

The volume or capacity of a tank is calculated as: Capacity = Rate of flow × Total time taken to fill/empty at that rate.

Net Filling Rate

If multiple pipes work together: 1/T_net = 1/T₁ + 1/T₂ − 1/T_waste.

Formula Used:

Area of Circle = π × r²

Circumference of Circle = 2π × r

Calculation:

Let radius of ground be r & radius of road be R

Difference between circumference = 44m

Using above formula -

⇒ 2π (R - r) = 44

⇒ 2π (R - 7)= 44

⇒ \(\frac{44}{7}\)(R - 7) = 44

⇒ R - 7 = 7

⇒ R = 14 m

⇒ Area of road = π (R² - r²) = π (142 - 72) 

⇒ Area of road =  (22/7)× 147 = 462 m²

∴ The correct answer is 462 m²

Shortcut Trick

Let the man buy 1 dozen of each type.

Total CP for 2 dozens = 12 + 10 = Rs 22.

Total SP for 2 dozens = 13 × 2 = Rs 26.

Profit on 2 dozens = 26 − 22 = Rs 4.

To gain Rs 160, total dozens = (160 ÷ 4) × 2 = 80 dozens.

∴ The correct answer is 80 dozens.

Alternate Method

Given: CP₁ = Rs 12/dozen, CP₂ = Rs 10/dozen, SP = Rs 13/dozen, Total Profit = Rs 160.

Formulas: Total CP = CP₁ + CP₂ | Total SP = SP × Total Quantity | Profit = Total SP − Total CP

⇒ Let the number of dozens bought at each rate be x.

⇒ Total quantity = 2x dozens.

⇒ Total CP = 12x + 10x = 22x.

⇒ Total SP = 13 × (2x) = 26x.

⇒ Profit = 26x − 22x = 4x.

⇒ 4x = 160 ⇒ x = 40.

⇒ Total quantity = 2x = 2 × 40 = 80 dozens.

∴ The correct answer is 80 dozens.

Additional Information

Average Cost Price

When equal quantities are bought at different rates, the Average CP is the simple arithmetic mean of the rates.

Profit Calculation

Total Profit = (SP per unit − Average CP per unit) × Total Units.

Formula Used:

X% = X/100

Calculation:

(120% of 675) + 92 = (? % of 1240) + 716

⇒ \(\frac{120}{100} \)× 675 + 92 = \(\frac{?}{100} \)× 1240 + 716

⇒ 810 + 92 = 12.4 × ? + 716

⇒ 902 - 716 = 12.4 × ?

⇒ 186/12.4 = ? = 15

∴ The correct answer is 15

Calculation:

Ratio of Alka & Palak age = 7 : 5

Let age of Alka & Palak be 7x & 5x respectively

⇒ 7x + 5x = 36

⇒ 12x = 36

⇒ x = 3

⇒ Age of Alka after 9 years = 7x + 9 = 7 × 3 + 9 = 30

⇒ Age of Palak after 9 years = 5x + 9 = 5 × 3 + 9 = 24

⇒ Ratio of ages of Alka & Palak = 30 : 24 = 5 : 4

∴ The correct answer is 5 : 4

Formula Used:

Distance = Speed × Time

Calculation:

Car travels 200 km in 8 hours

Using above formula -

⇒ Speed of Car = 200/8 = 25 kmph

⇒ Distance covered in 4.4 hours = 25 × 4.4 = 110 km

∴ The correct answer is 110 km

Formula Used:

X% = X/100

Calculation:

Let the numbers be x & y 

⇒ x + y = 2490                      ...(1)

6.5% of one number is equal to 8.5% of the other 

⇒ 6.5% of x = 8.5% of y

Using the above formula -

⇒ \(\frac{6.5}{100}\)× (x) = \(\frac{8.5}{100}\)× y

⇒ x/y = 8.5/6.5 = 17/13   

⇒ x = \(\frac{17}{13}\)y                    ...(2)

Putting the value of (2) in (1)

⇒ \(\frac{17}{13}\)y + y = 2490

⇒ 17y + 13y = 2490 × 13

⇒ 30y = 2490 × 13

⇒ y = 1079 

⇒ x = 2490 - 1079 = 1411        [Using (1)]

∴ The correct answer is 1411 and 1079.

Formula Used:

Simple Interest = \(\frac{P×R× T}{100}\)

Where P = Principal, R = Rate ,T = Time

Calculation:

Using above formula -

⇒ 81 = \(\frac{450×4.5× T}{100}\)

⇒ T = \(\frac{81 × 100}{450 × 4.5}\) = 4

∴ The correct answer is 4 years

Formula Used:

Perimeter of rectangle = 2[Length + Breadth]

Area of rectangle = Length × Breadth 

Calculation:

Using above formula -

⇒ 2[L + B] = 76

⇒ L + B = 38                               ...(1)

Area of rectangle is 360

⇒ L × B = 360                              ...(2)

Using (1) & (2)

⇒ L(38 - L) = 360

⇒ 38L - L² = 360

⇒ L² - 38L + 360 = 0

⇒ L² - 18L - 20L + 360 = 0

⇒ L(L - 18) - 20(L - 18) = 0

⇒ (L - 18)(L - 20) = 0

⇒ L = 18 or 20 units

If L = 18 Units ,B = 38 - 18 = 20 Unit

If L = 20 Units ,B = 38 - 20 = 18 Unit

∴ The correct answer is 18 unit

Shortcut Trick

Use the Ratio Method: Profit 10% = 10 → 11 and Profit 12% = 25 → 28 (since 12/100 = 3/25).

Combined Ratio of Initial CP to Final SP = (10 × 25) : (11 × 28) = 250 : 308.

Given 308 units = ₹ 246.40 ⇒ 1 unit = 246.40 ÷ 308 = 0.8.

Anil's CP = 250 units × 0.8 = ₹ 200.

∴ The correct answer is ₹ 200.

Alternate Method

Given:

Profit of Anil = 10%

Profit of Kamal = 12%

Price paid by Rajat = ₹ 246.40

Formula Used:

Final Price = Initial Price × (1 + P₁/100) × (1 + P₂/100)

Calculations:

⇒ Let the cost price for Anil be x.

⇒ Selling price for Anil (Cost for Kamal) = x × (110/100) = 1.1x

⇒ Selling price for Kamal (Cost for Rajat) = 1.1x × (112/100)

⇒ 246.40 = 1.1x × 1.12

⇒ 246.40 = 1.232x

⇒ x = 246.40 ÷ 1.232

⇒ x = 200

∴ Anil had paid ₹ 200 for the table. This corresponds to Option 3.

∴ The correct answer is ₹ 200.

Additional Information

Successive Profit/Loss Formula

The overall percentage change for two successive changes of a% and b% is given by [a + b + (ab/100)]%.

Cost Price from Selling Price

If an item is sold at a profit of P%, then Cost Price (CP) = [100 ÷ (100 + P)] × Selling Price (SP).

Chain Rule in Profit and Loss

When an item passes through multiple hands, the final price = Initial CP × (100 + g₁)/100 × (100 + g₂)/100 ... where g is the gain/loss percentage at each step.

Calculation:

Let 50 paise, 25 paise, and 10 paise coins are

in ratio 3x ,4x & 5x respectively.

Total Value of 50 paise coins = \(\frac{50}{100}\)× 3x = 3x/2

Total Value of 25 paise coins = \(\frac{25}{100}\)× 4x = x

Total Value of 10 paise coins = \(\frac{10}{100}\)× 5x = x/2

Total Value of coins is Rs. 12

⇒ 3x/2 + x + x/2 = 12

⇒ 6x/2 = 12

⇒ x = 4

⇒ Number of 25 paise coins =  4x = 4 × 4 = 16

∴ The correct answer is 16

As per the given question;

1. Seven candidates are Hema, Seema, Neeraj, Sheela, Neelam, Pawan and Sunita.
2. Interviewed for selection as trainee officers by different panels I to VII for different companies T, U, V, W, X, Y and Z.
3. Neeraj is interviewed by panel IV for company T.

4. Seema is interviewed by panel III and Hema is interviewed for company 'U'.

5. Neelam is interviewed by panel VI for company 'X'.

6. Sheela is interviewed by panel I.

 7. Hema is not interviewed  by panel I or II and Panel Il does not interview Pawan means Panel Il is interviewed remaining candidate Sunita. 8. Panel VII conducts the interview for company Y.

There is only two space left for Panel VII (Hema and Pawan) but Hema is already interviewed for comapny 'U' means Panel VII conducts the interview of Pawan for company 'Y'.

and the remaining Panel V interviewed Hema.

9. Seema is not interviewed for company 'V' or 'W'. and Sheela is also not interviewed for company 'V'.

means Sunita interviewed for company 'V', Sheela for company 'W' and Seema for remaining company 'Z'.

Now from above table 'Hema' is interviewed by panel V.

Hence, the correct answer is "Option(3)".

As per the given question;

1. Seven candidates are Hema, Seema, Neeraj, Sheela, Neelam, Pawan and Sunita.
2. Interviewed for selection as trainee officers by different panels I to VII for different companies T, U, V, W, X, Y and Z.
3. Neeraj is interviewed by panel IV for company T.

4. Seema is interviewed by panel III and Hema is interviewed for company 'U'.

5. Neelam is interviewed by panel VI for company 'X'.

6. Sheela is interviewed by panel I.

 7. Hema is not interviewed  by panel I or II and Panel Il does not interview Pawan means Panel Il is interviewed remaining candidate Sunita. 8. Panel VII conducts the interview for company Y.

There is only two space left for Panel VII (Hema and Pawan) but Hema is already interviewed for comapny 'U' means Panel VII conducts the interview of Pawan for company 'Y'.

and the remaining Panel V interviewed Hema.

9. Seema is not interviewed for company 'V' or 'W'. and Sheela is also not interviewed for company 'V'.

means Sunita interviewed for company 'V', Sheela for company 'W' and Seema for remaining company 'Z'.

Now from above table 'Seema' is interviewed for company Z.

Hence, the correct answer is "Option(3)".

As per the given question;

1. Seven candidates are Hema, Seema, Neeraj, Sheela, Neelam, Pawan and Sunita.
2. Interviewed for selection as trainee officers by different panels I to VII for different companies T, U, V, W, X, Y and Z.
3. Neeraj is interviewed by panel IV for company T.

4. Seema is interviewed by panel III and Hema is interviewed for company 'U'.

5. Neelam is interviewed by panel VI for company 'X'.

6. Sheela is interviewed by panel I.

 7. Hema is not interviewed  by panel I or II and Panel Il does not interview Pawan means Panel Il is interviewed remaining candidate Sunita. 8. Panel VII conducts the interview for company Y.

There is only two space left for Panel VII (Hema and Pawan) but Hema is already interviewed for comapny 'U' means Panel VII conducts the interview of Pawan for company 'Y'.

and the remaining Panel V interviewed Hema.

9. Seema is not interviewed for company 'V' or 'W'. and Sheela is also not interviewed for company 'V'.

means Sunita interviewed for company 'V', Sheela for company 'W' and Seema for remaining company 'Z'.

 

From above table Panel ll conducts interview for company 'V'.

Hence, the correct answer is "Option(2)".

As per the given question;

1. Seven candidates are Hema, Seema, Neeraj, Sheela, Neelam, Pawan and Sunita.
2. Interviewed for selection as trainee officers by different panels I to VII for different companies T, U, V, W, X, Y and Z.
3. Neeraj is interviewed by panel IV for company T.

4. Seema is interviewed by panel III and Hema is interviewed for company 'U'.

5. Neelam is interviewed by panel VI for company 'X'.

6. Sheela is interviewed by panel I.

 7. Hema is not interviewed  by panel I or II and Panel Il does not interview Pawan means Panel Il is interviewed remaining candidate Sunita. 8. Panel VII conducts the interview for company Y.

There is only two space left for Panel VII (Hema and Pawan) but Hema is already interviewed for comapny 'U' means Panel VII conducts the interview of Pawan for company 'Y'.

and the remaining Panel V interviewed Hema.

9. Seema is not interviewed for company 'V' or 'W'. and Sheela is also not interviewed for company 'V'.

means Sunita interviewed for company 'V', Sheela for company 'W' and Seema for remaining company 'Z'.

Now from above table 'Sheela' is interviewed for company 'W'.

Hence, the correct answer is "Option(2)".

The logic followed here is:

16 ⊕ 27 = 48

⇒ 1 + 6 + 2 + 7 = 16 × 3 = 48

And,

23 ⊕ 39 = 51

⇒ 2 + 3 + 3 + 9 = 17 × 3 = 51

Similarly,

25 ⊕ 48 = ?

⇒ 2 + 5 + 4 + 8 = 19 × 3 = 57

Hence, the correct answer is "option (4)".

The logic follow here is;

Hence, the correct answer is "Option(1)".

Given;

LOGIC : First number × same number + (positional value of that number in the given series) = second number 

2 = 5 

⇒ 2 × 2 + 1 = 5.

4 = 18

⇒ 4 × 4 + 2 = 18.

6 = 39

⇒ 6 × 6 + 3 = 39.

8 = 68

⇒ 8 × 8 + 4 = 68.

Similarly;

10 = ?

⇒ 10 × 10 + 5 = 105.

Hence the correct answer is "Option(2)".

Given;

For simplify those numbers let's put '+' sign in middle row and '× ' in last row;

Hence, the correct answer is "Option(3)".

Given;

a = 11 (242) 121

b = 14 (392) 196

Similarly;

c = 13 (?) 169

Hence, the correct answer is "338".

Let's find odd word;

1. Bear > An animal.

2. Deer > An animal.

3. Lion > An animal.

4. Parrot > A bird.

From all above option 'Parrot' is odd word.

Hence, the correct answer is "Option(4)".

Given series;

1, 4, 27, 256, 3125, 46669

The pattern follow here is;

In the given series '46669' is wrong number.

Hence, the correct answer is "Option(4)".

Correct order of Human body growth;

i. Infant > (0 - 1) year.

iii. Child > Upto 11 year.

v. Adolescent > (12 - 18) year.

ii. Adult > upto 60 year.

iv. Old > Older than 60 year.

Hence, the correct answer is "Option (2)".

Let's make Govind travel route;

1) Govind travelled 16 kms. west ward, then he turned left and travelled 10 kms.

2) Then he turned left and travelled 16 kms.

Govind was 10 km far from the starting point.

Hence, the correct answer is "Option (4)".

Given number;

9 9 3 4 6 6 2 2;

Now check each option;

1) ↑ ↑ → ↓ ↑ ↑ Δ Δ

Here, each number has unique code.

2) ↑ ↑ → ↓ ↓ ↑ Δ \(\triangledown\)

Here 6 and 2 does not have unique symbol.

Here two different symbol are used for same number.

3) ← ↓ → ↓ → ↑ ↓ ↑

Here different symbols are used for each same number.

4) Δ \(\triangledown\) → ↓ ↓ \(\triangledown\) \(\triangledown\) ↑

Here different symbols are used for each same number.

Only option(1) represent the number best.

Hence, the correct answer is "Option(1)".

Given pair;

Hear : Deaf

Hear > Recieve sound with ears.

Deaf > Who can't listen any voice.

LOGIC : Deaf is a opposite word of hear.

Similarly;

Speak : ?

Speak > To talk or say something.

Now opposite of speak is dumb.

Dumb > Who can't say something.

Hence, the correct answer is "Option(3)".

The positional value of letter in alphabet series is;

Given;

'PAISE' is coded as 'QBJTF'

'CEASE' is coded as 'DFBTF'.

Similarly;

'TRANGLE' will be coded as

Hence, the correct answer is "Option(4)".

Given word;

TENTANT

Let's cheak every option;

1) 1421321

Here, a same particular code is used for a each letter.

2) 7581871

Here, for same letter code is changed.

3) 2225552

Here, for same letter code is changed.

4) 1197281

Here, for same letter code is changed.

Hence, the correct answer is "Option(1)".

Given: Five boys S, K, M, A and R.

1. S is shorter than K but taller than R.

K > S > R

2. A is a little shorter than K and a little taller than S.

K > A > S > R

3) M is the tallest.

M > K > A > S > R

Now, the increasing order will be: 

R < S < A < K < M

So, while stand in order of increasing heights 'S' is at second position.

Hence, the correct answer is "Option(3)".

Given;

1. S is shorter than K but taller than R.

 R < S < K

2. A is a little shorter than K and a little taller than S.

 R < S < A < K

3. M is the tallest.

 R < S < A < K < M

'A' is placed at mid position.

Hence, the correct answer is "Option(1)".

Given;

1. S is shorter than K but taller than R.

 R < S < K

2. A is a little shorter than K and a little taller than S.

 R < S < A < K

3. M is the tallest.

 R < S < A < K < M

'R' is the shortest person.

Hence, the correct answer is "Option(4)".

Given pair;

LOGIC : Inner shape is removed in second figure.

Similarly;

Hence, the correct answer is "Option(4)".

From given series;

First and third image are mirror image.

Similarly;

Second and fourth figure will be miror immage.

Hence, the correct answer is "Option(3)".

In given figure;

LOGIC : Third figure is 90 degree anticlockwise of first figure,

Similarly;

Hence, the correct answer is "Option (2)".

Logic : Star shape is moving 90 degree in clockwise direction and removing side in figure is filled in next image.

Similarly;

Hence, the correct answer is "Option(2)".

LOGIC : Next image can get by rotate previous image by 90 degree anticlockwise.

Similarly;

Hence, the correct answer "Option(2)".

LOGIC : Rotate image by 90 degree anticlockwise then after rotation change the sign of upper right corner with '+' sign.

Hence, the correct answer is "Option(2)".

LOGIC : Outer shape is a mirror image of previous image and inner shape is rotate by 90 degree anticlockwise.

Hence, the correct answer is "Option (3)".

Let's make one side similar in first two figure;

LOGIC : If one side is similar in both figure then the other two side faces of both figure are opposite to each other.

Oppsite faces are;

From third image the remaining face is 'P'.

Opposite face;

K - P;

A - H;

B - M.

Hence, the correct answer is "Option(4)".

Given;

Similarly;

Hence, the correct answer is "Option(1)".

Missing part will be;

Hence, the correct answer is "Option(2)".

Missing part will be;

Hence, the correct answer is "Option(2)".

Missing part will be;

Hence, the correct answer is "Option(4)".

Given;

similarly;

Hence, the correct answer is "Option(2)".

LOGIC : Second image is make by adding mid point of sides in first image.

Similarly;

Hence, the correct answer is "Option(1)".

LOGIC : Each symbol is moved by 1 box in anticlockwise direction to get next image.

Given;

Hence, the correct answer is "Option(1)".

LOGIC : Each next image can be get by rotating previous image 90 degree clockwise.

let's find missing image;

Hence, the correct answer is "Option(3)".

Let's check missing part by complete whole figure by using mirror image;

Hence, the correct answer is "Option(3)".

Let's find missing part of image by making whole image;

Hence, the correct answer is "Option(3)".