SSC GD Constable Previous Year Paper (Held on: 13th February 2019 Shift 3)

The pattern follows here are:

First number : (First number + 2)² = Second number

The 1^st term 19 = (19 + 2)² = (21)² = 441

Similarly,

The 2nd term 17 = (17 + 2)² = (19)² = 361

So, the correct option will be 361.

15 + (2)² = 19

19 + (4)² = 35

35 + (6)² = 71

71 + (8)² = 135

So, the correct option will be option 4.

By adding the positional values of digits we get,

S (19) + G (7) + H (8) = 34

S (19) + H (8) + T (20) = 47

H (8) + K (11) + O (15) = 34

I (9) + E (5) + T (20) = 34

By adding positional values of digits we get 34 except in SHT,

So, SHT will be odd one.

Similarly,

So, the correct answer will be JLN.

1. O, P, Q, R, S, T and U are watching a movie sitting in a row.

2. S is sitting at one of the extreme end.

3. Q is sitting second to the right of S.

4. P is sitting between O and Q.

5. R is sitting to the left of T.

6. U is not sitting at any extreme end.

So, O will sit at the immediate right of P.

Figures are rotated 45 degrees anticlockwise in every step,

So, option 4 will be the right answer.

Adding the digits of numbers, we get

5 + 1 + 9 = 15

5 + 6 + 6 = 17

3 + 5 + 7 = 15

2 + 7 + 6 = 15

17 is the only prime number we get after addition.

So, correct option will be 2.

(1) A sits opposite to F and third to the right of B, so there are two possibilities.

 

(2) G is between F and D and E is between A and C

 

So this is the final arrangement, G sits third left of A.

Visakhapatnam is a city in Andhra Pradesh and Andhra Pradesh is the state in India.

So, option 2 will be correct.

The patter follower here is:

Similarly,

So, the answer will be YHPARGOEALAP.

All options are capital of countries except Bahrain; Bahrain is country itself.

 

Hence, correct option will be option 2.

The least possible Venn diagram is given below-

Conclusion:

1. Some dogs are cows → True (Some goats are cow and all goats are dog so it is true that some dogs are cow)

2. Some cows are dogs → True (Some goats are cow and all goats are dog so it is true that some cows are dog)

So, Both Conclusion I and II follow.

The pattern follows are:

The pattern followed here is:

So, ITS will be correct answer.

Adding the positional values of letters in words

OOLOGY = 15 + 15 + 12 + 15 + 7 + 25 = 89

VIROLOGY = 22 + 9 + 18 + 15 + 12 + 15 + 7 + 25 = 123

So Option 2 will be the correct answer.

The least possible Venn diagram is given below-

Conclusions:

1. All birds are cats → False (It is possible but not definite)

2. Some cups are birds → True (All birds are cups so it’s true that some cups are Birds)

So, only Conclusion 2 follows.

7 + 11 = 18

18 + 22 = 40

40 + 33 = 73

73 + 44 = 117

Multiple of 11 is getting added after every term.

So, correct answer will be 117.

Wish and Desire are related to each other in the same as Quarrel and War.

Hence, “Desire” is the correct answer.

“Presume” is reated to “assume”, in the same way “Sedate” is related to calm.

Sedate means गंभीर .

So the right answer will be option 4.

When the transparent sheet is folded along the dotted line, we get the following pattern:

Hence, option 2 is the correct answer.

Here we are operating in the column-

In a column:

(First number)² + (Second number)² = Third number

In first column, (4)² + (5)² = 41

In third column, (6)² + (8)² = 100

Similarly,

In second column, (7)² + (6)² = 85,

So the correct answer will be 6.

1. There are 6 students who will use a dictionary.

2. S will use it immediately after Q and before P.

 

3. T will use it immediately after R and before U.

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4. R will use the dictionary after P. (From this statement Case 2 is eliminated)

The final arrangement will be,

 

Hence, U will use the dictionary at the last.

By interchanging signs + and -, we get

24 - 2 × 2 + 6 ÷ 3 = 24 – 4 + 2 = 22

So, the correct option will be option 3.

The correct answer is option 1 i.e Finance.

• The Ministry of Finance is one of the important ministry under the Government of India concerned with the economy of India.
• This was formed on 29^th October 1946.
• This Ministry serves as the Indian Treasury Department.
• Ministry of Finance presents the Economic Survey in the parliament every year.
• The Union Finance Ministry of India comprises five departments namely:

1. Department of Economic Affairs.
2. Department of Expenditure.
3. Department of Revenue.
4. Department of Financial Services.
5. Department of Investment.

• Current Cabinet Minister responsible for the Ministry of Finance: Nirmala Sitharaman.
• The first Finance Minister of independent India: R. K. Shanmukham Chetty.
• ​Current Cabinet Minister responsible for the Ministry of Corporate Affairs: Nirmala Sitharaman.
• Current Cabinet Minister responsible for the Ministry of Home Affairs: Amit Shah.
• Current Cabinet Minister responsible for the Ministry of Commerce: Piyush Goyal.

The correct answer is Bal Gangadhar Tilak.

• Bal Gangadhar Tilak was an independence activist.
• Popularly known as 'Uncrowned King of India'.
• He was deported to Mandalay in Myanmar(old Burma) for six years in 1908.
• As a politician, he is well known as "the father of Indian unrest"
• He gave the statement "Swaraj is my birthright and I shall have it".
• Notable works: Kesari, Gita Rahasya, and Mahratta.

Additional Information

The correct answer is option 1 i.e Gondwana land.

• Gondwana land was a supercontinent that existed before 550 million years ago.
• This supercontinent existed between the Neoproterozoic and the Jurassic Era.
• It was the largest piece of continental crust of the Paleozoic Era.
• The Gondwana land was named by Austrian scientist Eduard Suess.
• It covers about two-thirds of today's continental area, including Africa, South America, Antarctica,  Zealandia, Australia, the Indian Subcontinent, and Arabia.
• The peninsular plateau of India is part of the Gondwana land.
• The Andean is a group of nations located in South America and connected by the Andes mountain range.
• The Tethys was an ocean during much of the Mesozoic Era located between the Gondwana and Laurasia continents.
• Laurasia was a minor supercontinent that formed as a part of the Pangaea supercontinent.

The correct answer is option 2 i.e 500 crore.

• According to the Union Budget 2018, 500 crore amount was allocated for Operation Green.
• Operation Green was announced by the Finance Minister of India in the Union Budget 2018-19.
• The budget was presented by the former Finance Minister Arun Jaitley.
• It was announced on the line of “Operation Flood” in India.
• Operation Green is a price fixation scheme to ensure farmers are getting the right price for their products.
• The Ministry also formulated a new scheme for the integrated development of Tomato, Onion, and Potato (TOP) value chain.
• The main target of Operation Greens is to double the income of farmers by the end of 2022.
• By this Initiative government could help in the development of 22,000 agricultural markets.

The correct answer is Bile juice, Pancreatic juice.

Key Points

• Bile juice, Pancreatic juice secreted by the organs plays an important role in the digestion of fats.
• Bile juice is secreted by the liver.
• It does not contain any types of enzymes.
• The bile juice helps to make the food alkaline and break down the fat molecules.
• Pancreatic juice is secreted by the pancreas.
• It contains enzymes like amylase, trypsin, pancreatic lipase, nucleases and lipase.
• Secretion of the Pancreatic juice is regulated by the hormones secretin and cholecystokinin.
• Lipase is the digestive enzyme of fat.
• Ptyalin is the digestive enzyme of the Saliva.
• Hydrochloric acid is produced naturally in the human stomach to help the digestion of food.

The correct answer is option 3 i.e Species that are found only in some particular areas.

• Species that are found only in some particular areas are called endemic species.
• Endemic species can easily become extinct or endangered from the earth.
• The dodo is an extinct flightless bird that was endemic to the island of Mauritius, in the Indian ocean.
• Dodo is an example of the vulnerability of endemic species to habitat alteration.
• Important Endemic specie in India are:
• Asiatic Lion in Gir Forest.
• Nilgiri Tahr in Nilgiri Hills.
• Sangai Deer in Loktak Lake.
• Purple Frog in the Western Ghats.
• Kashmir Stag in Kashmir Valley.
• Lion Tailed Macaque in the Western Ghats.
• Pygmy Hog in Assam.
• Malabar Civet in the Western Ghats.

The correct answer is Chess.

Key Points

• Magnus Carlsen is a famous Chess player.
• He is a Norwegian chess grandmaster.
• He is the current world blitz champion.
• He is the current World Chess Champion.
• He is the current World Rapid Chess Champion.
• The highest-ranked player in FIDE world rankings.
• The youngest person ever to surpassed a rating of 2800 in FIDE world rankings.
• He became World Chess Champion in 2013 by defeating Viswanathan Anand.

Additional Information 

The correct answer is Godavari.

• The Godavari is the largest peninsular river in India.
• Origin: Brahmagiri hills, Tryambakeshwar, Maharashtra.
• Mouth: Bay of Bengal.
• It flows through the Indian states of Maharashtra, Chhattisgarh, Telangana, Andhra Pradesh.
• The Godavari is also referred to as “Dakshin Ganga’.
• The second-longest river in India.
• Important Dams: Sriram Sagar Dam, Jayakwadi dam, Ghatghar Dam.
• Important right bank tributaries:

1. Manjira.
2. Darna.
3. Pravara.
4. Sindphana.
5. Manair

• Important left bank tributaries:

1. Sabari.
2. Pranahita.
3. Indravati.
4. Banganga.
5. Shivana.

Additional Information

The correct answer is option 1 i.e Kalinga.

• Odisha is an Indian state located in eastern India.
• Capital: Bhubaneswar.
• The ancient name of coastal Orissa was Kalinga.
• The Kalinga was invaded by the Mauryan emperor Ashoka in 261 BCE in the Kalinga War.
• Orissa and Utkalam are also the old names of Odisha.
• Odisha has a 485 Kilometres long coastline.
• The coastline known as the gift of six rivers is situated in Odisha.
• The famous Konark temple is located in Odisha.
• The largest coastal lagoon in India Chilika Lake is in Odisha.
• Paradeep, one of the major seaports in India is in Odisha.
• Current Chief Minister: Mohan Charan Majhi​.
• Current Governor: Shri Raghubar Das
• ​Kaushambi was a major ancient city in India that served as the capital of the Vatsa kingdom.
• Kamarupa was the old name of Assam.
• Khandesh is a city in Maharashtra state

The correct answer is option 4 i.e Ireland.

• Indian Constitution borrowed the idea of directive principles of state policy from Ireland.
• The makers of the Constitution of India were influenced by the Irish Home Rule Movement and other national movements of Ireland.
• Part IV of the Indian constitution deals with the directive principles of state policy.
• Directive principles of state policy(DPSP) deal with economic and cultural rights.
• Directive Principles of state policy(DPSP) are non-justiciable.
• Directive principles of state policy aims at the establishment of the welfare state.
• Important features in the Indian constitution borrowed from Ireland are:
• The nomination of members to Rajya Sabha
• Presidetnial election.
• Directive principles of state policy
• Important features in the Indian constitution borrow from Germany is:
• Suspension of Fundamental Rights during the emergency.
• Important features in the Indian constitution borrow from South Africa are:
• Amendment to the Constitution.
• Election of members of Rajya Sabha.
• Important features in the Indian constitution borrow from Britain are:
• Parliamentary form of government.
• Office of Comptroller and Auditor General.
• Rule of Law.
• Legislative procedure.
• Single Citizenship.
• Cabinet system.
• Writs.

The correct answer is option 4 i.e Infrared waves.

• Infrared wave is an electromagnetic wave.
• It was discovered by William Herschel.
• Infrared waves are used by the common TV remote control.
• Waves used in distant photography.
• Invisible to the human eye.
• Most of the thermal radiation emitted by objects near room temperature is infrared.
• Used for target acquisition purposes in military and civilian applications.
• Wavelength: 700 nanometers to 1 millimeter.
• The heat of the sunlight is due to Infrared rays.

The correct answer is option 1 i.e August 29.

• The National Sports Day is celebrating in India on August 29.
• August 29 is the birthday of hockey legend Dhyan Chand.
• The government of India designated August 29 as the National Sports Day since 2012 to commemorate his birth anniversary.
• This day aims to spread awareness on the importance of sports in every individual's life.
• Major Dhyan Chand was an Indian hockey player.
• He is also known as 'The Wizard'.
• During his time Indian hockey team won three Olympic gold medals in 1928, 1932, and 1936.
• He is the only Indian hockey player to have a stamp in his honour.
• He was honoured with the Padma Bhushan in 1956.
• Autobiography: Goal.**

The correct answer is option 3 i.e Article 352.

• The President of India is empowered to proclaim three types of emergencies to handle extraordinary situations in the country
• The three types of emergencies in India are namely:

1. National Emergency.
2. State Emergency.
3. Financial Emergency.

• President can proclaim a National Emergency under Article 352 of the Indian Constitution.
• President can proclaim National Emergency only after receiving a written recommendation from the cabinet.
• The proclamation must be approved by both houses of the Parliament within one month.
• It can be continued for six months with a special majority.
• The first National Emergency In India was proclaimed by Dr. S Radhakrishnan on 26^th October 1962.
• The first National Emergency was due to Chinese aggression.
• It was revoked by Zakir Hussain on 10^th January 1968.
• The Second National Emergency In India was proclaimed by V V Giri on 3^rd December 1971.
• The Third National Emergency In India was proclaimed by Fakrudin Ali Ahmad on 25^th June 1975.
• Both the Second and Third National Emergencies were revoked by B. D Jetty.
• Article 356 deals with the commencement of President Rule in a state.
• Article 371 deals with the Special provision to the Maharashtra and Gujarat states.

The correct answer is Vice President of India.

• The Vice President of India is the second-highest position in India.
• Article 63 of the Indian Constitution states that there shall be a Vice President of India.
• The Vice President is elected by an Electoral College of India.
• The term of Vice President is 5 years.
• The powers and functions of the Vice President of India are similar to that of the Vice President of America.
• The Vice President of India is the Ex-Office Chairman of Rajya Sabha.
• Current Speaker of Lok Sabha: Om Birla (As of Mar. 2024)
• Current Prime Minister of India: Narendra Damodardas Modi (As of Mar. 2024)

The correct answer is option 2 i.e India.

• The God of Small Things was the first novel written by famous Indian writer Arundhati Roy.
• The story was based on the childhood experiences of fraternal twins.
• The novel “The God of Small Things” won the Booker Prize in 1997.
• The story is inspired from Ayemenem, Kottayam district in Kerala, India.
• Important characters in “The God of Small Things”: Estha, Rahel, Ammu, Velutha, Chacko.
• BBC News listed The God of Small Things on its list of the 100 most influential novels in 2019.
• Notable works of Arundhati Roy are:
• The Ministry of Utmost Happiness.
• Capitalism: A Ghost Story.
• An Ordinary Person's Guide to Empire.
• Walking With The Comrades.
• The End of Imagination.
• War Talk.
• Power Politics.
• The Cost of Living.

The correct answer is option 2 i.e 360.

• The Charaka Saṃhita is a famous Sanskrit text on Ayurveda medicine.
• It was authored by Maharshi Charaka.
• The Charaka Samhita mentioned that the content of the book was first taught by Atreya Punarvasu.
• It is one of the foundational Hindu texts of medicines that have survived from ancient India.
• As per the text ‘Charaka Samhita’ there are 360 bones in a human body.
• Charaka studied the anatomy of the human body and concluded that there are 360 bones including teeth, present in the human body.
• As per the text Charaka Samhita, there are four important parts of medical practice:

1. The patient.
2. The physician.
3. The nurse.
4. The medicines.

• Human body composed of around 270 bones by birth.
• The number of bones will be reduced to around 206 bones by adulthood after some bones get fused together.

The correct answer is option 1 i.e Nelson Mandela.

• Nelson Mandela was a South African political leader.
• He is well known as the father of the nation of South Africa.
• He is well known for the Anti-Apartheid Movement in South Africa.
• He served as the first President of South Africa from 1994 to 1999.
• India awarded him the Bharat Ratna in 1990.
• Pakistan awarded him Nishan-e-Pakistan in 1992.
• Honored with the Nobel Peace Prize in 1993.
• Notable works:
• Long Walk to Freedom.
• Conversations With Myself.
• The Struggle Is My Life.
• No Easy Walk to Freedom.
• In His Own Words.​

Option 2 is NOT correct.

Key Points

• Proteins are one of the building blocks of body tissue.
• Proteins are made up of Carbon, Hydrogen, Oxygen, and Nitrogen.
• Proteins help for the growth and repair of the body.
• Proteins are the nutrient known as 'bodybuilders'.
• Amino acid is the basic unit of proteins.
• The Soyabean contains the highest percentage of protein.
• The major source of proteins are meat, milk, egg, fish, gram, etc.
• Deficiency disease: Marasmus, Kwashiorkor.
• Wheat is a rich source of Carbohydrates.

The correct answer is  Copper Sulphate and caustic soda solution.

• Copper Sulphate and caustic soda solution are used to test the presence of proteins.
• The biuret test is used to confirm the presence of proteins in food materials.
• If the mixture turns violet colour that indicates the presence of proteins in the food.
• Other tests for protein detection are: 
• Xanthoproteic test.
• Millions test.
• Ninhydrin test.
• Caustic soda is also known as Sodium hydroxide.
• Formula: NaOH.
• Sodium hydroxide is used in the manufacture of pulp and paper, soaps, and detergents.
• Copper Sulphate is also called blue vitriol.
• Formula: CuSO₄.
• It is used as an analytical reagent.
• Iodine solution is used for the test of Starch.

The correct answer is option 3 i.e December 10.

• Human Rights Day is observed annually across the world on 10^th December.
• December 10 was chosen to honor the adoption and proclamation of the Universal Declaration of Human Rights.
• The Universal Declaration of Human Rights was adopted on 10^th December 1948.
• It was declared by United Nations General Assembly.
• International Human Rights Day is celebrated with the aim to achieve real rights for human beings.
• Human Rights Logo was unveiled in New York in 2011.
• The Theme of Human Rights Day 2018: Stand up for the human rights.
• The Theme of Human Rights Day 2019: Youth Standing Up for Human Rights.

The correct answer is Whale.

Key Points

• Gills are respiratory organs found in most aquatic organisms.
• Gills can extract dissolved oxygen from water and excrete carbon dioxide.
• Gills can be found in Octopus, Squid, Clownfish, Tadpole, Prawn, etc.
• Lungs are the breathing organ of Whales.

Additional InformationRespiratory organs of different Animals:

The correct answer is Ellora.

Key Points

• Ellora is a famous cave located in the Aurangabad district of Maharashtra, India.
• It is one of the UNESCO World Heritage Sites in India.
• Designated as the UNESCO World Heritage Sites in 1983.
• It is the largest single monolithic rock excavation in the world.
• The popular depiction named ‘Ravana Shaking Mount Kailash’ is depicted in Ellora caves.
• It is one of the largest rock-cut temple cave complexes in the world.
• It is famous for Hindu, Buddhist, and Jain monuments and artwork.
• The name Ellora is the short form of the ancient name Elapura.
• The best-known inscription in Ellora cave is done by Rashtrakuta Dantidurga.

Additional Information

Important PointsThe current name of Aurangabad is Chhatrapati Sambhajinagar. The Maharashtra government renamed Aurangabad to Chhatrapati Sambhajinagar in 2022, and the Union Home Ministry approved the change in February 2023. The Bombay High Court upheld the name change in May 2024, and the Supreme Court dismissed a petition against the High Court's order in July 2024.

The correct answer is Nayanars.

Key Points

• Brihadishvara Temple is a Hindu temple at Tanjore, Tamil Nadu.
• It is dedicated to Lord Shiva.
• It is located on the banks of the Kaveri river.
• Architectural style: Dravidian architecture.
• Temple belongs to the Nayanars sects.
• It was built by Raja Raja Chola I.
• It was established in 1010 AD.
• Designated as the UNESCO World Heritage Site in 1987.
• It is a part of the Great Living Chola Temples.
• The Alvars were Tamil poet-saints of South India.
• The Nayanars were a group of 63 saints living in Tamil Nadu who were devoted to the Hindu god Shiva.
• The Vedic period is the period between the Bronze Age and the Iron Age of the history of India.
• Shaktism is a major sect of Hinduism, wherein a woman and Shakti is regarded as the supreme godhead.

The correct answer is option 4 i.e Manipur.

• The Sangai festival is celebrated in Manipur.
• Sangai festival is an annual cultural festival of Manipur.
• The Festival is organized by Manipur Tourism Department.
• It is celebrated every year from 21 to 30 November.
• The old name of the Sangai festival is Tourism Festival.
• The festival has been renamed the Sangai festival from 2010 onwards.
• Since 2017, Sangai Festival events have been held at Mao Ukhrul, Keibul Lamjao, Khuman Lampak, Hapta Kangjeibung.

Option 2 is NOT correct.

• The term Zero hour is NOT used in the banking field.
• Zero Hour is a term used in Parliament.
• Zero Hour is the time when Members of Parliament can raise Issues regarding the urgent public importance.
• With prior notice to the Speaker, members can raise issues of importance during this time.
• It is not mentioned in the rules of procedure.
• Starts immediately after the question hours.
• It starts at around 12 noon.
• The maximum time limit of Zero Hour is one hour.
• Repo rate is the rate at which banks borrow money from the Reserve Bank of India.
• Collateral is a pledge by a borrower to a lender for a specific property to secure repayment of a loan.
• An interest rate swap involves the exchange of interest rates between two parties.

Calculation:

From the Pie chart,

Imports of item P6 = 21%

Imports of item P5 = 12%

∴ Difference = 21% - 12% = 9%

∴ The difference between Imports of item P6 and imports of item P5  is 9%

Given:

M can complete a work in 14 days less than the time taken by L

M and L together can complete the same work in 24 days

Formula used:

Number of days = Total work/1 day's work (Efficiency)

Calculation:

Let the number of days taken by L be x days

⇒ 1 day work of L = 1/x

 The number of days taken by M be x -14 days

⇒ 1 day work of M = 1/(x - 14)

M and L together can complete the same work in 24 days

⇒ 1 day work of (M + L) = 1/24

⇒  (1/x) + {1/(x - 14)} = 1/24

⇒ (2x - 14)/(x² - 14x) = 1/24

⇒ x² - 62x + 336 = 0

⇒ x² - 6x - 56x + 336 = 0

⇒ x(x - 6) - 56(x - 6) = 0

⇒ (x - 56)(x - 6) = 0

⇒ x = 56 or x = 6 

∵ M  can do the work 14 days less than L, x can't be 6

⇒ x = 56

∴ x - 14 = 56 -14 = 42

M alone can complete the same work in 42 days

Given:

Distance = 187 km

Initial speed = S km/hr

New speed = (S + 6) km/hr

Formula used:

Distance = Speed × Time

Calculation:

Let the Initial time be x hours

∴ New time = (x - 6) hours

We know,

Sx = 187 km

(S + 6) (x - 6) = 187 km

⇒ Sx - 6S + 6x - 36 = 187

⇒ 187 - 6S + 6x - 36 = 187 (∵ Sx = 187 km)

⇒ 6x - 6S = 36

⇒ x - S = 6      ---(1)

We know,

Sx = 187 km

⇒ x = 187/S    ---(2)

Substitute (2) in (1)

⇒ (187/S) - S = 6

⇒ (187 - S²)/S = 6

⇒ S² + 6S - 187 = 0

⇒ S2 - 11S + 17S - 187 = 0

⇒ S(S - 11) + 17(S - 11) = 0

⇒ (S - 11) (S + 17) = 0

∴ S = 11 or S = -17

Speed never be negative

∴ S = 11 km/hr

Given:

Amount for 5 years = 7800

Amount for 6 years = 9048

Concept:

Amount for 5 years will be the Principal for the 6^th year

Formula used:

Amount = P × {1 + (R/100)}^N

Calculation:

Given,

Amount for 5 years = 7800

Amount for 6 years = 9048

Principal for 6^th year = 7800

Now,

9048 = 7800 × {1 + (R/100)}¹

⇒ {1 + (R/100)} = 9048/7800

⇒ 100 + R = (9048/7800) × 100

⇒ 100 + R = 116

⇒ R = 116 - 100 = 16

∴ Rate of interest is 16%.

Concept:

Calculation:

1040 ÷ 65 - 8 × (1/2) of {(1/2) - (1/3)}

⇒ 1040 ÷ 65 - 8 × (1/2) of (1/6)

⇒ 1040 ÷ 65 - 8 × (1/12)

⇒ 16 - (2/3)

⇒ 46/3

Given:

Total number of students = 70

The average weight of 26 girls is 28 kg

The average weight of the remaining students is 35 kg

Formula used:

Average weight = Total weight/Number of students

Calculation:

The average weight of 26 girls is 28 kg

⇒ Total weight of 26 girls = 26 × 28 = 728

The average weight of the remaining students is 35 kg

 The number of remaining students = 70 - 26 = 44 (∵ Total number of students = 70)

⇒ Total weight of 44 girls = 44 × 35 = 1540

Total weight of 70 students = Total weight of 26 girls + Total weight of 44 girls

⇒ Total weight of 70 students = 728 + 1540 = 2268

∴ Average weight of 70 students = 2268/70 = 32.4 kg

Average weight of 70 students = [26 × 28 + (70 - 26) × 35]/70

∴ required average = 32.4 kg

Given:

Length of the Train = 250 m

Length of the first Bridge = 350 m

Length of the second Bridge = 550 m

Time taken to cross = 30 s

Concept:

Speed of the Train will be the same while crossing both the two Bridges

Formula used:

Speed = Distance/Time

Calculation:

First we have to calculate the speed of the Train

While crossing the first Bridge,

Total distance = Length of Train + Length of Bridge

⇒ Total distance = (250 + 350) = 600 m

⇒ Speed of the Train = 600/30 = 20 m/s

Now, while crossing the second Bridge,

Total distance = Length of Train + Length of Bridge

⇒ Total distance = (250 + 550) = 800 m

Time = Total distance/Speed of the Train

⇒ Time taken to cross the Bridge of length 550 m = 800/20 = 40 seconds

Given:

The perimeter of a rectangular table = 60 cm

The area of the rectangular table = 209 cm²

Formula used:

Perimeter of Rectangle = 2 × (Length + Breadth)

Area of Rectangle = Length × Breadth

Calculation:

Let the length and breadth of the Rectangular table be 'l' and 'b' respectively

From the question,

Perimeter of Rectangle = 60

⇒ 2 × (l + b) = 60

⇒ (l + b) = 30

⇒ b = (30 - l)

Now,

l × b = 209

⇒ l × (30 - l) = 209

⇒ 30l - l² = 209 = 0

⇒ l² - 30l + 209 = 0

⇒ l² - 19l - 11l + 209 = 0

⇒ (l - 19) × (l - 11) = 0

∴ l = 19 or 11

If l = 19, b= 11 and if l = 11, b = 19

Here from the options, length = 19 cm

∴ The correct answer is 19 cm.

Given:

Length of Rectangle = 16 cm

Breadth of Rectangle = 12 cm

Formula used:

Area of Rectangle = Length × Breadth

Calculation:

Area of rectangle = 16 × 12 = 192 cm²

∴ The area of the rectangle is 192 cm².

Given:

The radii of two circles are 15 cm and 8 cm

The area of a third circle is equal to the sum of the areas of the two circles

Formula used:

Area of Circle = π r²

Calculation:

r₁ = 15 cm

r₂  = 8 cm

Area of the first Circle = (22/7) × 15² = 707.14 cm²

Area of the second Circle = (22/7) × 8² = 201.14 cm²

∴ Area of the third Circle = 707.14 + 201.14 = 908.28 

Now,

Let radius of the third Circle be R

⇒ π R² = 908.28

⇒ R² = 908.28/(22/7)

⇒ R² = 289

∴ R = 17

The radius of the third circle = 17 cm

Given:

The total sale of cars in the city = 600000

Calculation:

From the Pie Chart, 21% T4 cars sold in the city for the given year

∴ Number of T4 cars sold in the city for the given year = 600000 × (21/100) = 126000

Given:

U : V : T = 15 : 20 : 27

Total profit = 10230

Concept:

The profit will be divided in the same ratio of the investment

Calculation:

Sum of ratios = 62

Share of V = (20/62) × 10230 = 3300

Given:

C alone can complete two-third part of a work in 12 days

Concept:

If a person can complete (x/y) part of a work in z days, then the person can complete the whole work in {z × (y/x)} days

Calculation:

2/3 part → 12 days

⇒ 1 part → 12 × (3/2) = 18 days

∴ C can complete the whole work in 18 days

Given:

P sells an article to Q at a loss of 5%

Q sells that article to R at a loss of 20%

R pays ₹ 2812 for the article

Concept:

P sells the article to Q. Therefore Q's Cost Price will be P's Selling Price and Q sells the article to R. Therefore R's Cost Price will be Q's Selling Price

Calculation:

R pays ₹ 2812 for the article

∴ R's Cost Price = 2812

Q's Selling Price = R's Cost Price = 2812

⇒ Q's Cost Price = 2812 × (100/80) = 3515   (∵ 20% Loss)

P's Selling Price = Q's Cost Price = 3515

⇒ P's Cost Price = 3515 × (100/95) = 3700   (∵ 5% Loss)

∴  The cost price for P = ₹3700

Given:

Ravi gets 61% of the total valid votes

Total votes = 25000 

20% of the total votes were declared invalid

Calculation:

Total votes = 25000 

⇒ Invalid votes = 20% of 25000 = 5000

⇒ Valid votes = 25000 - 5000 = 20000

Ravi gets 61% of the total valid votes

⇒ Manoj gets 39% of the total valid votes

∴ Number of votes Manoj gets = 20000 × (39/100) = 7800

Given:

Cost Price = 928

Profit % = 15 %

Concept:

Profit % is calculated on Cost Price unless it is specified Profit on Selling Price

Formula used:

Profit % = (Profit/Cost Price) × 100

Calculation:

P % = (P/C.P) × 100

⇒ 15 = (P/928) × 100

⇒ P = (15 × 928)/100 = 139.20

∴ The net profit = ₹ 139.20

Concept:

BODMAS Rule: According to BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by ‘order’ (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right

Calculation:

512 ÷ 16 + 4 × (5/2) of {(1/8) + (1/3)}

⇒ 512 ÷ 16 + 4 × (5/2) of (11/24)

⇒ 512 ÷ 16 + 4 × (55/48)

⇒ 32 + (55/12)

⇒ 439/12

Shortcut Trick

Effective interest percentage = Rate × Time.

Case 1 effective interest = 15% × 3 = 45%.

Case 2 effective interest = 30% × 2 = 60%.

Here, 45% of the principal corresponds to ₹9000.

⇒ Required Simple Interest (60%) = (9000 ÷ 45) × 60 = 200 × 60 = 12000.

∴ The correct answer is ₹12000.

Alternate Method

Given:

Initial Simple Interest (SI₁) = ₹ 9000

Initial Rate (R₁) = 15% and Time (T₁) = 3 years

New Rate (R₂) = 30% and Time (T₂) = 2 years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Principal (P)

Case 1: 15% for 3 yrs SI = 45% of P

₹ 9000

Case 2: 30% for 2 yrs SI = 60% of P

? = ₹ 12000

Calculations:

⇒ 9000 = (P × 15 × 3) ÷ 100

⇒ 9000 = (P × 45) ÷ 100

⇒ P = (9000 × 100) ÷ 45

⇒ P = 200 × 100 = ₹ 20000

Now, calculating new Simple Interest (SI₂):

⇒ SI₂ = (20000 × 30 × 2) ÷ 100

⇒ SI₂ = 20000 × 60 ÷ 100

⇒ SI₂ = 200 × 60

⇒ SI₂ = 12000

∴ The correct answer is ₹12000.

Additional Information

Effective Interest Rate Concept

For Simple Interest, the effective rate applied over the entire period is simply the product of Rate and Time (R × T). Setting up a direct proportion using effective percentages often saves calculation time.

Simple vs Compound Interest

While SI is calculated only on the initial principal for all years, CI is calculated on the accumulated amount. The difference for 2 years between CI and SI can be found using: D = P(R/100)².

Given:

The average monthly expenditure of a family:

₹ 8160 for first 2 months

₹ 12780 for next 5 months

₹ 14280 for 5 months

Savings in 1 year = ₹ 66300 

Formula used:

Total Expenditure = Average Expenditure × Number of Months

Income = Expenditure + Savings

Calculation:

Total Expenditure for the first 2 months = 8160 × 2 = 16320

Total Expenditure for the next 5 months = 12780 × 5 = 63900

Total Expenditure for the last 5 months = 14280 × 5 = 71400

∴ Total Expenditure for 1 year = 16320 + 63900 + 71400 = 151620

Total Savings for 1 year = 66300 

⇒ Total income for 1 year = 151620 + 66300 = 217920

∴ The average monthly income of the family = 217920/12 = ₹18160

Given:

The total import of item P1 is ₹ 33000

Calculation:

From the Pie chart,

The total import of item P1 = 11%

The total import of item P2 = 23%

Given, the total import of item P1 is ₹ 33000

11% → 33000

23% → (33000/11) × 23 = 69000

 The value of imports of item P2 = 69000

Given:

$\frac{1}{A}:\frac{1}{B}:\frac{1}{C} = 2;:;3;:4$

Calculation:

Let (1/A) = 2x, (1/B) = 3x, and (1/C) = 4x

⇒ A = (1/2x), B = (1/3x), and C = (1/4x)

Now, LCM (2x, 3x, 4x) = 24x

On multiplying each term by 24x,

A : B : C = (24x/2x) : (24x/3x) : (24x/4x)

⇒ A : B : C = 12 : 8 : 6 = 6 : 4 : 3

∴ The ratio of A : B : C is 6 : 4 : 3.

Calculation:

Total sum of A = 3 + 4 + 1 + 1 + 1 + 0 = 10

Total sum of B = 2 + 1 + 3 + 1 + 1 + 2 = 10

Middle value of 0 - 2 = 1

Middle value of 2 - 4 = 3

Middle value of 4 - 6 = 5

Middle value of 6 - 8 = 7

Middle value of 8 - 10 = 9

Middle value of 10 - 12 = 11

Now,

Multiplying these values with values of A = (1 × 3) + (3 × 4) + (5 × 1) + (7 × 1) + (9 × 1) + (11 × 0) = 36

Multiplying these values with values of B = (1 × 2) + (3 × 1) + (5 × 3) + (7 × 1) + (9 × 1) + (11 × 2) = 58

⇒ Total of A + B = 36 + 58 = 94

∴ Combined mean of A and B = 94/(10 + 10) = 4.7

Concept:

LCM is the product of Prime factors with highest power

Explanation:

Here, the Prime factors are:

2² × 3⁵ × 7³

2⁴ × 3⁴ × 7¹

Highest power for 2 is 2⁴

Highest power for 3 is 3⁵

Highest power for 7 is 7³

∴ LCM = 2⁴ × 3⁵ × 7³

Given:

Marked price of an article is 70% more than its cost price

Discount = 10%

Selling Price = 1071

Concept:

Discount is always gives on Marked Price

Formula used:

Selling Price = Marked Price - Discount

Calculation:

Let the Cost Price be x

⇒ Marked Price = x + (x × (70/100)) = 1.7x

⇒ Discount = 1.7x × (10/100) = 0.17x

⇒ Selling Price = 1.7x - 0.17x = 1.53x

Now,

1.53x = 1071

⇒ x = 1071/1.53 = 700

∴ Cost Price of the Article = ₹ 700

Alternate Method:

Let C.P be 100

⇒ M.P = 170

⇒ Discount = 17

⇒ S.P = 170 - 17 = 153

Now, 

153 → 1071

100 → (1071/153) × 100 = 700

∴ Cost Price of the Article = ₹ 700

Given:

The price of two articles are in the ratio of 5 : 6 

The price of first article is increased by 30%

The price of second article is decreased by X%

So the Ratio becomes 13 : 11

Calculation:

Let the price of the articles initially be 50 and 60 respectively

The price of first article is increased by 30%

⇒ 50 + (30/100) × 50 = 65

The price of second article is decreased by X%

⇒ 60 - {(X/100) × 60} = 60 × (100 - X)/100

So the Ratio becomes 13 : 11

⇒ 65/{60× (100 - X)/100} = 13/11

⇒ 715 = 780 × (100 - X)/100

⇒ 71500 = 78000 - 780X

⇒ 780X = 6500

∴ X = 8.33

The correct answer is option 3), i.e. I have promised to help you.

In the underlined segment, past continuous tense is used and it is incorrect.

• Past continuous tense should be used to describe an action which was going on when another incident happened. Example: She was singing when her father came back.
• But the given sentence talks about an event which has happened before now but it has some present consequences.
• Therefore, present perfect tense should be used here.
• So, 'was promising' should be replaced with 'have promised'.
• Hence, option 3) is the best fit.

<br>

The construction of a sentence in present perfect tense should be:

The correct answer is option 4), i.e. leaving.

The segment 'leaving' is incorrect.

• The purpose of the action is mentioned in this sentence. Therefore, an infinitive should be used here instead of a gerund.
• So, 'leaving' should be replaced with 'to leave'.
• Hence, option 4) is the answer.

A gerund is a verb which acts like a noun. Example: The kid has already started walking.

An infinitive is the basic form of a verb. Example: She will come here to meet us.

The correct answer is option 1), i.e. 'pretext'.

It can be guessed from the sentence that the action can be taken in the false excuse of taking revenge.

The meaning of the given words:

• pretext: false excuse or supposed ground
• excuse: a reason or explanation
• guise: false display
• pretense: faking or putting on an act
• Clearly, option 3) and option 4) should be eliminated.

<br>

One may confuse between option 1) and option 2) but the word 'pretext' should be chosen because the word 'excuse' means 'explanation' when used as a noun. Example: Do not give any excuses.

Hence, option 1) is the best fit.

The correct answer is option 1), i.e. 'or'.

There are two clauses in the given sentence. Therefore, a conjunction is required here to join these two clauses.

• 'but' is used to join clauses which are contrasting with each other. Example: She is coming but we can't wait for her. Therefore, option 2) is not the answer.
• 'and' is used to join clauses or word which should be written together. Example: She will buy a book and some flowers for her sister. Hence, option 3) is not the answer.
• 'so' means 'therefore'. Example: She is unwell so she will not come.
• 'or' means 'otherwise'. Example: You should go now or you will miss the train.
• Hence, option 1) is the best fit.

The word which joins clauses or sentences or words is called 'conjunction'. 'And','But' yet' are examples of conjunctions.

• There are three types of conjunctions:
• Coordinating Conjunction
• Subordinating Conjunction
• Correlative Conjunction
• Coordinating Conjunction:The conjunction which joins words, phrases and clauses is called 'coordinating conjunction'.
• Example: And, but , yet, so etc. are the examples of coordinating conjunction.
• Subordinating Conjunction: Words like because, although, since, till etc. are the examples of subordinating conjunction which joins a subordinate clause with a main clause.
• Correlative Conjunction: The paired words which join phrases, words or clauses are called 'correlative conjunction'.
• Example: Not only....but also, Neither .... nor etc. are the example of 'correlative conjunction'.

The correct answer is option 1), i.e. 'No improvement'.

 

In the underlined segment an 'infinitive' is used and it is correct as it has mentioned the purpose of the verb 'fail'.

The noun 'objective' which means 'intention or aim' is also appropriate.

         There is no need to change the preposition 'of'.

         Hence, 'no improvement' is required here. So, option 1) is the answer.

An infinitive is the base form of a verb. Example: She loves to sing.

The correct answer is option 1), i.e. 'Credulous'.

Key Points

• The meaning of the word 'Gullible' is 'the one who can be easily deceived'. (वह जिसे आसानी से धोखा दिया जा सके)
• The meaning of the given words:
• Credulous: having or showing great readiness to believe things; easily deceived. (विश्रंभी; चीजों पर विश्वास करने के लिए बहुत लाली होना या दिखाना; आसानी से धोखा दिया)
• For example: Few people are credulous enough to believe such nonsense.
• Knowledgeable: well-informed. (जानकार)
• For example: He found him a knowledgeable, friendly and approachable captain.
• Innocent: not corrupted. (भ्रष्ट नहीं)
• For example: She was found innocent of all charges.
• Perceptive: very good at observing. (देखने में बहुत अच्छा)
• For example: He is a very perceptive young man.

Hence, option 1) is the most appropriate synonym of the given word.

The correct answer is option 3), i.e. Detailed.

Key Points:-

• The meaning of the word 'elaborate' is 'to add detail to'. (विवरण जोड़ना)
• The meaning of the given words:
• Sketchy: incomplete or not detailed. (अधूरा या विस्तृत नहीं)
• For example: The details about the accident are still a little sketchy.
• Elongated: to make longer. (लंबे समय तक बनाने के लिए)
• For example:  These stretching exercises can help elongate your leg muscles.
• Detailed: to make comprehensive. (व्यापक बनाने के लिए)
• For example: He gave us very detailed instructions.
• Appropriate: suitable or proper. (उपयुक्त या उचित)
• For example: The teacher can take appropriate action.

Hence, option 3) is the most appropriate synonym.

The correct answer is option 2), i.e. Philatelist.

The meaning of the given words:

• Numismatist: a person who collects coins
• Philatelist: a person who collects stamps
• Philanthropist: a person who helps others by donating money
• Plagiarist: a person who uses the ideas of others

Hence, option 2) is the answer.

The correct answer is option 1), i.e. will give financial help.

The government has issued a statement about something. Therefore, it is certainly about the actions which will be taken in future.

• The underlined segment is written in the past continuous tense. Therefore, it should be replaced with 'simple future tense'.
• 'was giving' should be replaced with 'will give'.
• The noun 'helps' is not used as the plural form of the word 'help'. Therefore, it is also incorrect and it should be replaced with the word 'help'.
• Hence, option 1) is the best fit.

The word 'help' is an 'uncountable noun'.

• Uncountable noun: The words which are used to name those we cannot count are called uncountable noun. Example: rice, sugar etc.
• Uncountable can be divided into two types:
• Material noun: The word which names a material is called material noun. Example: gold, water etc.
• Abstract noun: The word which denotes an idea, quality or state is called abstract noun. Example: wisdom happiness etc.

The correct answer is option 2), i.e. sensible.

The meaning of the word 'absurd' is 'illogical or inappropriate'.

The meaning of the given words:

• guilty: responsible for certain wrongdoing or blameworthy
• For example: The old man feels he is guilty, but cannot change himself
• sensible: full of common sense
• For example:  My teacher gave me some sensible advice.
• sincere: genuine
• For example: He sounded sincere in his promises.
• ridiculous: laughable
• For example: She looks ridiculous in that outfit.

Clearly, option 2) is the most appropriate antonym of the given word.

The correct answer is option 2), i.e. 'dynamic'.

An adjective is required here to describe the word 'leader'.

The meaning of the given words:

• gifted: talented and skilled
• For example: She is gifted with a talent for playing the piano.
• dynamic: energetic and positive in attitude
• For example: He seemed a dynamic and energetic leader.
• sturdy: strongly made
• For example: She was a short, sturdy woman in her early sixties.
• hard-core: highly committed
• For example: It is often said that we are now dealing— or attempting to deal—with the hard core of people who continue to drink and drive.

Only a person who is energetic and positive in attitude can deal with troubled times. Therefore, option 1), option 3) and option 4) should be eliminated.

Hence, option 2) is the best fit.

The correct answer is option 4), i.e. scarce

Key Points

• Let's look at the meaning of the given and correct option-
• Abundant - plentiful or be numerous or existing in very large quantities; more than enough. ( प्रचुर मात्रा में या बहुत अधिक या बहुत बड़ी मात्रा में विद्यमान; पर्याप्त से अधिक)
• Scarce: in short supply; not existing in large quantities; hard to find. (कम आपूर्ति में; बड़ी मात्रा में मौजूद नहीं है; खोजने में मुश्किल)
• Hence from the given meanings, we find that both the words express the opposite meanings 
  
• ​Let's look at the meaning of other given options-
• Sufficient: enough; as much as is necessary; enough. (पर्याप्त; जितना आवश्यक हो; पर्याप्त)
• Plentiful: be numerous; available in large amounts or numbers. (अनेक होना; बड़ी मात्रा में या संख्या में उपलब्ध)
• Adequate: satisfactory in quality or quantity; enough for what you need. (गुणवत्ता या मात्रा में संतोषजनक; आपको जो चाहिए उसके लिए पर्याप्त)

The correct answer is option 1), i.e. Attendance.

Key Points

• The correct spelling of the word is 'Attendance'.
• The meaning of the word 'Attendance' is 'the action of being present'. (उपस्थित होने की क्रिया)

The correct answer is option 1) i.e. Beginning.

Key Points

• The correct spelling is 'Beginning'.
• The meaning of the word 'beginning' is 'the first stage of something'. (किसी चीज की पहली अवस्था)
• For e.g.-   At the beginning of January, an event occurred.

The correct answer is option 4), i.e. the train left.

The segment, 'the train left' is incorrect.

• In this sentence, simple past tense is used but this incident has happened before the other incident(I reached) which is mentioned in the sentence.
• Therefore, 'past perfect tense' should be used instead of 'simple past tense'.
• 'had' should be used here before the word 'left'.
• The correct sentence is: Even though I took a taxi, the train had left before I reached the station.
• Hence, option 4) is the answer.

<br>

The construction of the sentence in past perfect tense:

The correct answer is option 3), i.e. 'Healthy'.

The meaning of the given idiom, i.e. 'Hale and hearty' is 'healthy'.

• Example: My grandmother is now hale and hearty as she has started walking.
• Clearly, option 3) is the best fit.

<br>

An idiom is a group of words which is different from the meaning of the individual words.

The correct answer is option 1), i.e. 'Indigenous'.

The meaning of the given words:

• Indigenous: originating or occurring naturally in a particular place or country.
• Example - Coriander is indigenous to southern Europe.
• National: relating to a nation.
• Example - This policy may have been in the national interest.
• Ingenious: a person who is creative.
• Example - He was ingenious enough to overcome the limited budget.
• Ordinary: without any special qualities.
• Example - He sets out to depict ordinary people.
• Hence, option 1) is the best fit.

The correct answer is option 3), i.e. to.

The word 'reduced' is used before the blank. It means 'to bring something or someone to a worse condition'. Example: Drought has reduced the place to a barren land.

• Clearly, 'to' should be chosen for this sentence.
• Hence, option 3) is the best fit.

<br>

'for' is used to express the purpose of something. Example: The team will visit the place for investigation.

'with' means 'accompanied by'. Example: She will go to college with her friend.

           'in' is used to express the situation of something. Example: Shila lives in Patna.