DSSSB PGT Maths (Female) Official Paper (Held On: 10 Jul, 2021 Shift 1) (Previous Year Paper)

Butter, Paneer, and Curd are the products made from Milk.

While;

Oil is a thick liquid that comes from animals or plants and is used in cooking.

Hence, "Oil" is the correct answer.

Important PointsThere are may types of oil:

• Crude Oils
• Vegetable Oils
• Animal Oils
• Seed Oils etc

The pattern follows here is;

Hence, "185" is the correct answer.

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Hence, Mamta is the mother in law of a lady.

The positions of the letters according to the English alphabet series:

The pattern for this code is as follows;

LOGIC: Sum of positional value + (Number of Letters)^{1or 2}

If the number of letters is even then power is 1.

If the number of letters is odd then power is 2.

In MAPED:

Number of letter = 5 (Odd)

MAPED = (13 + 1 + 16 + 5 + 4) + 5²

= 39 + 25

= 64

And;

In RECK:

Number of letter = 4 (Even)

RECK = (18 + 5 + 3 + 11) + 4

= 37 + 4

= 41

Similarly;

In NOSE:

Number of letter = 4 (Even)

NOSE = (14 + 15 + 19 + 5) + 4

= 53 + 4

= 57

Hence, "57" is the correct answer.

The positions of the letters according to the English alphabet series:

The pattern for this is as follows;

Hence, "I31V" is the correct answer.

1. Preeti got more marks than Rahul.

Preeti > Rahul

2. Yamuna scored as many marks as Divya.

Yamuna > Divya 

3. Lokita got less marks than Munj.

Manju > Lokita

4. Rahul got more marks than Yamuna.

Rahul > Yamuna

5. Manju got less marks than Divya.

Divya > Manju

After combining all the statements;

Preeti > Rahul > Yamuna > Divya > Manju > Lokita

Hence, "Lokita" got the lowest marks.

The figures given below represents the number of triangles:

Hence, "15" is the correct answer.

The correct Venn diagram representation is:

Hence, option (1) is the correct answer.

Statements:  L ≥ M = N < O, P < Q ≥ R = S ≥ L

On combining: P < Q ≥ R = S ≥ L ≥ M = N < O

Conclusion:

I. Q > M → False (Q ≥ R = S ≥ L ≥ M, Q ≥ M)

II. N = Q → False (Q ≥ R = S ≥ L ≥ M = N, N = Q)

Hence, Either I or II is true.

Important Points

If all three possible conditions (<, >, =) between any two entities are included in conclusions, and both the conclusion are individually false then it would be a case of ‘either-or’.

The correct Venn diagram representation is:

Hence, option (2) is the correct answer.

Completing the incomplete pattern;

Hence, option (4) is the correct answer.

As per the given information;

Hence, Rahul is in North east direction from his starting point.

The mirror image of this image is:

Hence, option (1) is the correct answer.

As Hospital is for Treatment.

Similarly, 

The Office is for work.

Hence, the related word pair is ‘Office ∶ Work’.

The least possible Venn diagram for the given statements is as below,

Conclusions:

I. Some cars are clutchs → False (There is no direct relation between cars and cluths)

II. Some clutchs are cars → False (There is no direct relation between cars and cluths)

Hence, neither conclusion I nor II follows.

Additional Information

The logic followed is:

Checking options one by one;

1) × and + →

20 + 5 × 3 ÷ 3 - 1 = 14

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

20 × 5 + 3 ÷ 3 - 1 

= 20 × 5 + 1 - 1

= 100 + 1 - 1

= 100 ≠ 14

2) ÷ and × →

20 + 5 × 3 ÷ 3 - 1 = 14

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

20 + 5 ÷ 3 × 3 - 1 

= 20 + 5/3 × 3 - 1

= 20 + 5 - 1

= 25 - 1

= 24 ≠ 14

3) ÷ and + →

20 + 5 × 3 ÷ 3 - 1 = 14

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

20 ÷ 5 × 3 + 3 - 1 

= 4 × 3 + 3 - 1 

= 12 + 3 - 1

= 15 - 1

= 14

4) × and - →

20 + 5 × 3 ÷ 3 - 1 = 14

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

20 + 5 - 3 ÷ 3 × 1 

= 20 + 5 - 1 × 1

= 20 + 5 - 1

= 25 - 1

= 24 ≠ 14

All options are correct except option (3).

Hence, option (3) is the correct answer.

The least possible Venn diagram for the given statements is as below,

1) All crystals are emeralds → False (As All emeralds are crystal, then All crystal are emeralds not possible)

2) Some crystals are emeralds → True (As All emeralds are crystal, then some crystals are definitely emeralds)

3) Some emeralds are diamonds → False (There is no direct relation between emeralds and diamonds)

4) All diamonds are emeralds → False (There is no direct relation between emeralds and diamonds)

Hence, option (2) is the correct asnwer.

Additional Information

The positions of the letters according to the English alphabet series:

The pattern for this is as follows;

Hence, "RPNM" is the correct answer.

Checking options one by one;

1. Number of arrows = 5 (Odd)

2. Number of arrows = 8 (Even)

3) Number of arrows = 4 (Even)

4) Number of arrows = 2 (Even)

Hence, option (1) is the correct answer.

The positions of the letters according to the English alphabet series:

The pattern for this code is as follows;

Similarly;

Hence, "IKHW" is the correct answer.

The correct answer is Prime Minister.

Key Points

• Prime Minister is the ex-officio chairman of the NITI Aayog in India.
• NITI Aayog is an executive body, that was established by the government in 2015 through an executive resolution.
• NITI Aayog replaced the erstwhile planning body- the Planning Commission of India.
• The term NITI stands for National Institution for Transforming India.
• NITI Aayog is a think tank that advises the government in policy formulation, unlike the PC which was empowered to allocate and distribute funds for the planning.
• NITI Aayog's main focus areas are cooperative & competitive federalism, decentralised planning, scenario planning, capacity building etc.
• Full-Time Organisational Framework:
• Chairman: Prime Minister (Narendra Modi)
• Vice Chairperson: Appointed by the Prime Minister. (Suman Berry)
• Chief Executive Officer (CEO).
• Full-Time members
• Part-time members: maximum 2
• Ex-officio members: maximum 4

The correct answer is King George V.

• The Gateway of India was built to commemorate the visit of King George V.

Key Points

• The early twentieth century saw the rise of the swaraj (self-rule) movement.
• King George V (1910–36) and his wife, Queen Mary, carried out two royal tours of the Indian subcontinent in the hope of improving public perception of and loyalty to the British Crown.
• Both fell in love with ‘dear beautiful India’.
• Following their initial visit in 1905–06 as Prince and Princess of Wales, they returned as Emperor and Empress for a Coronation Tour in 1911–12.

Additional Information

• Important facts about Gateway of India.
• ​The Gateway of India was erected in honour of King George V and Queen Mary’s landing at Apollo Bunder on their visit to India.
• However, the foundation stone was laid on March 31, 1911, by the then-Governor of Mumbai, Sir George Sydenham Clarke.
• The design of the monument took three years to pass and finally got sanctioned on March 31, 1911.
• The archway of the monument is 26 meters (85 feet) high and joined with four turrets and intricate latticework carved on stones.
• The archway of the monument is built of Basalt and about 21 lakhs was spent to build the arch alone.
• The structure is an adaptation of the Arc de Triomphe in Paris.
• During the rule of the British government, this was used as the arrival point for the visitors from the west.
• The monument is surrounded by another of Mumbai’s major tourist attractions, the Marine Drive, facing the vast Arabian Sea.
• The last British ships set to sail in 1947 to leave the country from the Gateway of India making it a legend.

The correct answer is Vajji.

Key Points

• Vaishali was the capital of Vajji Mahajanapada.
• The kingdom was situated in Bihar to the north of the river Ganga.
• It covered the districts of Vaishali and Muzaffarpur in Bihar.

Additional Information

Important Points

• The term "Janapada" literally means the foothold of a people.
• There were 16 Mahajanapadas during 600 B.C. to 325 B.C. in the Indian Sub-continent.
• There were 16 kingdoms or oligarchic republics that existed in Northern ancient India from the sixth to fourth centuries BCE during the second urbanization period.
• The 6th–5th centuries BCE is often regarded as a major turning point in early Indian history; during this period India's first large cities arose after the demise of the Indus Valley Civilization.
• It was also the time of the rise of sramana movements (including Buddhism and Jainism), which challenged the religious orthodoxy of the Vedic Period.

The correct answer is Clayey Soil.

Key Points

• Clayey soil:
• The water holding capacity of soil is a very important agronomic characteristic.
• Soils that hold generous amounts of water are less subject to leaching losses of nutrients or soil-applied pesticides.
• The water holding capacity is highest in clayey soil because it is made up of very small tightly packed particles that do not allow water to percolate.
• It is very sticky to the touch when wet, but smooth when dried.
• Clay is the densest and heaviest type of soil that does not drain well or provide space for plant roots to flourish.
• Hence The water holding capacity is the highest in Clayey soil. So, the correct answer is 'Clayey soil'.

Additional Information 

• Soil is classified into four types:
• Sandy soil
• Silt Soil
• Clay Soil
• Loamy Soil.
• Silt Soil: Silt has smaller particles compared to sand.
• It is also made up of rock and other mineral particles.
• Furthermore, its fine quality holds water better than sand.
• Due to the above-mentioned features, it is also beneficial for agriculture.
• ​Chalk soil: can be either light or heavy but always highly alkaline due to the calcium carbonate (lime) within its structure.
• As these soils are alkaline they will not support the growth of ericaceous plants that require acidic soils to grow.
• If chalky soil shows signs of visible white lumps then they can’t be acidified and gardeners should be redesigned to only choose plants that prefer alkaline soil.
• Peat soil: is high in organic matter and retains a large amount of moisture.
• This type of soil is very rarely found in a garden and is often imported into a garden to provide an optimum soil base for planting.
• Loam soil: is a mixture of sand, silt, and clay that are combined to avoid the negative effects of each type.
• These soils are fertile, easy to work with and provide good drainage.
• Depending on their predominant composition they can be either sandy or clay loam.

The correct answer is Kutch.

Key Points

• Kutch is the largest district in India covering an area of 45,674 square km.
• It is in the state of Gujarat.
• Kutch has 10 Talukas, 939 villages, and 6 Municipalities.
• The language Kutchi is used in this district.
• The Kutch district is also known for ecologically important Banni grasslands with their seasonal marshy wetlands.

Additional Information

• Mahe of Pondicherry is the smallest district of the country with an area of 9 sq km.
• There were 640 districts in the 2011 Census of India.
• Thane is the largest district in the country population-wise with a total population of 11060148.

Confusion Points

• Kachchh Gujarat has an area of 45,674 sqkm, whereas Leh has 45110 sqkm area.

The correct answer is Justice CN Broomfield.

Key Points

• During the Non-Cooperation Movement thousands of Indians were put in jail.
• Gandhiji was also arrested in March 1922, and charged with sedition.
• The judge who presided over his trial was Justice C.N. Broomfield.
• He made a remarkable speech while pronouncing his sentence.

Additional Information

• The Programs of the Non-Cooperation Movement are:
• ​Boycott of government colleges, schools and courts.
• Boycott of foreign goods and language.
• Boycott of Council elections to be held as per the suggestions of the Morley-Minto Reforms of 1919.
• Resignation of Indian members from nominated seats in the local bodies.
• Surrender of titles and honorary offices.
• Refusal to attend functions organized by the government.
• From the above, it is clear that attaining self-government through Constitutional means was not included in the Programme of Non-Cooperation Movement

The correct answer is Bankim Chandra Chatterjee.

Key Points

• Anandmath​:
• The famous book ‘Anandmath' was authored by Bankim Chandra Chatterjee.
• The book was originally written in 1882.
• Anandamath takes the reader back to Bengal in the clutches of the famine, the backdrop of the pre-independence struggle, and the turmoil of human lives caught in this frame of time.
• It is considered one of the most remarkable works of the Bangla language and Indian literature.
• Through the book, Bankim also gave us the song ‘VandeMataram’which became the rallying call for rebels.
• The first two stanzas eventually became the National song of India.
• One of the gems of Indian Literature, ‘Anandmath’ carries a deep sentiment of nationalism which was the essence of the freedom struggle.

Additional Information

• Bankim Chandra Chatterjee -
• Bankim Chandra Chatterjee was born on 27 June 1838 in a Brahmin family in Kanthalpara village in Bengal.
• Vande Mataram was composed in a mixed language (Sanskrit-Bengali) by Bankim Chandra Chatterjee.
• This song was published in the year 1872 as an underlying song in his novel Anand Math.
• In this novel, this song is sung by a monk named "Bhawanand".
• Its tune was composed by Yadunath Bhattacharya. This song takes 65 seconds to sing.​

The correct answer is Hazrat Mian Mir Ji.

• Hazrat Mian Mir Ji laid the foundation of the Golden Temple.

Key Points

• Sri Harmandir Sahib, also known as Sri Darbar Sahib or Golden Temple.
• The land for the site was bought by the Guru Ram Das Sahib on payment from the Zamindars (landlords) of native villages.
• Guru Arjan Sahib got its foundation laid by a Muslim saint Hazrat Mian Mir Ji of Lahore on the 1st of Magh, 1645 Bikrmi Samvat (December, 1588).
• The construction work was directly supervised by Guru Arjan Sahib himself and he was assisted by prominent Sikh personalities like Baba Budha ji, Bhai Gurdas Ji, Bhai Sahlo Ji, and many other devoted Sikhs.
• Sri Harmandir Sahib is built on a 67ft, square platform in the centre of the Sarovar (tank).
• The temple itself is 40.5ft. square.
• It has a door each on the East, West, North, and South.

Additional Information

• Guru Amar Das was the third of the Ten Gurus of Sikhism.
• Sikhism was well established by the time of Guru Arjan, the fifth Guru.
• Guru Arjan completed the establishment of Amritsar as the capital of the Sikh world.
• And compiled the first authorized book of Sikh scripture, the Adi Granth.
• The Ten Gurus in Sikhism

The correct answer is Champaran.

• Champaran was the first initiative of Mahatma Gandhi as a nationalist in India.

Key Points

• Mahatma Gandhi was the leader who guided India towards Independence. India was under British rule for over 250 years.
• Gandhi returned to India from South Africa in 1915 at the request of Gopal Krishna Gokhale.
• Mahatma Gandhi's famous contributions to the Indian freedom movement:
• Champaran Satyagraha (1917):
• ​The Champaran agitation in Bihar was Gandhi's first active involvement in Indian freedom politics.
• The Champaran farmers were being forced to grow Indigo and were being tortured if they protested.
• The farmers sought Gandhi's help and through a calculated non-violent protest, Gandhi managed to win concessions from the authority.​

Additional Information

• Kheda Satyagraha (1918):
• ​When Kheda, a village in Gujarat, was badly hit by floods, the local farmers appealed to the rulers to waive off the taxes.
• Here, Gandhi started a signature campaign where peasants pledged non-payment of taxes.
• ​Khilafat Movement
• ​Gandhi's influence on the Muslim population was remarkable.
• This was evident in his involvement in the Khilafat Movement.
• After the first World War, the Muslims feared for the safety of their Caliph or religious leader and a worldwide protest was being organized to fight against the collapsing status of the Caliph.
• Gandhi became a prominent spokesperson of the All India Muslim Conference and returned the medals he had received from the Empire during his Indian Ambulance Corps days in South Africa.
• His role in the Khilafat made him a national leader in no time.
• Non-cooperation Movement(1920):
• ​Gandhi had realized that the British had been able to be in India only because of the cooperation they received from the Indians.
• Keeping this in mind, he called for a non-cooperation movement.
• The ominous day of the Jallianwala Bagh Massacre triggered the non-cooperation movement.
• Gandhi set the goal of Swaraj or self-governance, which since then became the motto of the Indian freedom movement.
• Salt March(1930):
• ​Also known as the Dandi Movement, Gandhi's Salt March is considered to be a pivotal incident in the history of the freedom struggle.
• Gandhi started a Satyagraha campaign against the salt tax in March 1930.
• He marched 388 kilometers from Ahmedabad to Dandi in Gujarat to make salt.
• Thousands of people joined him and made it one of the biggest marches in Indian history.
• Quit India Movement(1942):
• ​During the Second World War, Gandhi was determined to strike the British Empire with a definitive blow that would secure their exit from India.
• This happened when the British started recruiting Indians for the war. Gandhi protested strongly and said that the Indians cannot be involved in a war that is in favour of democratic purposes when India itself is not a free country.
• This argument exposed the two-faced image of the colonizers and within half a decade, they were out of this country.

The correct answer is Rabindranath Tagore.

Key Points

• Rabindranath Tagore was the first Indian citizen to be awarded and also the first Asian to be awarded.

Additional Information

The correct answer is Space X.

Key Points

• Behnken and Hurley left in a vehicle called Crew Dragon "Endeavour,".
• A spaceship designed, built, and operated by SpaceX with about $2.7 billion in government funding.
• It's SpaceX's second experimental flight of the vehicle, a mission called Demo-2.
• And the aerospace company's first time putting people on board.
• The Demo-2 mission's departure makes SpaceX, founded by Elon Musk in 2002.
• The first company in NASA's Commercial Crew Program to successfully pull off a visit to the $150 billion, football field-size laboratory.
• But Behnken and Hurley's return trip has just begun.
• Now that they've flown away from the ISS, they must perform a risky descent through Earth's atmosphere.
• The phase of the flight that Musk has called his "biggest concern."

Additional Information

• About Space X
• Founder: Elon Musk
• Founded: 6 May 2002
• CEO: Elon Musk (2002)
• Headquarters: Hawthorne, California, United States
• The Kinet-X experiment created green and violet clouds in the evening sky over parts of the U.S. East Coast.
• The mission is also called the Kinetic-scale Energy and Momentum Transport Experiment.
• That aims to better understand how energy and momentum transfer in phenomena like auroras, between "different regions of space that are magnetically connected," NASA said in a mission description.

The correct answer is Serum Institute of India.

Key Points

• Serum Institute of India Pvt. Ltd. is now the world's largest vaccine manufacturer by a number of doses produced and sold globally (more than 1.5 billion doses) which includes Polio vaccine as well as Diphtheria, Tetanus, Pertussis, Hib, BCG, r-Hepatitis B, Measles, Mumps and Rubella vaccines.
• Serum Institute of India begins production of Covovax vaccine.
• The company is already locally producing the Covishield vaccine developed by Oxford University and AstraZeneca.(AP).
• Serum Institute of India was founded in 1966 by Dr. Cyrus Poonawalla.
• Its Headquarters is located in Hadapsar, Pune, Maharashtra.
• CEO - Mr. Adar Poonawalla.

Additional Information

• COVISHIELD VACCINE
• The Oxford COVID-19 vaccine Covishield is manufactured by Serum Institute of India, which is the largest vaccine manufacturer in the world.
• This Pune-based institute has collaborated with AstraZeneca to manufactureCovishield.
• The vaccine is derived from a common cold virus called adenovirus and similar to coaxing, it is also to be given in two doses.

The correct answer is Sarkaria Commission.

Key Points

• The Sarkaria Commission finally submitted its report in the year 1988.
• The Sarkaria Commission’s charter was to examine the relationship and balance of power between state and central governments in the country.
• And suggest changes within the framework of the Constitution of India.
• Despite the large size of its reports the Commission recommended, by and large, status quo in the Centre-State relations.
• Especially in the areas, relating to legislative matters, the role of Governors, and the use of Article 356.

Additional Information

• Kalelkar Commission
• A Backward Classes Commission was appointed by the President of India on 29 January 1953 with Kaka Kaielkar as its chairman.
• The Commission was directed to determine the criteria to be adopted in considering whether any section of people should be treated socially and educationally backwards.
• Dutt Committee
• Dutt Committee or “Industrial Licensing Policy Inquiry Committee” was set up under the chairmanship of  Mr. Subimal Dutt as a follow up to the reports of the Monopolies Inquiry Commission and Hazari Committee.
• This committee’s mandate was to inquire into the working of the licensing system in India. The committee had submitted its report in July 1969.

The correct answer is Bankimchandra Chatterjee.

Key PointsVande Mataram

• The author of Vande Mataram is Bankim Chandra Chatterjee.
• He wrote it in the 1870s, which was later included in his 1881 novel Anandamath.
• It played a vital role in the Indian independence movement, first sung in a political context by Rabindranath Tagore at the 1896 session of the Indian National Congress.

Additional Information

Bankim Chandra Chatterjee or Bankim Chandra Chattopadhyay:

• He was an Indian novelist, poet, and journalist.
• He was the composer of Vande Mataram, originally in Sanskrit, personifying India as a mother goddess and inspiring activists during the Indian Independence Movement.

The correct answer is 

Key Points

• The National bird of India is Peacock and its scientific name is Pavo Cristatus.
• Taxonomy of Peacock:
• Kingdom: Animalia
• Phylum: Chordata
• Subphylum: Vertebrata
• Superclass: Tetrapoda
• Class: Aves
• Order: Galliformes
• Family: Phasianidae
• Genus: Pavo
• Species: cristatus

Additional Information

The correct answer is Hypermetropia.

Key Points

• A person with hypermetropia cannot see nearby objects clearly.
• Hypermetropia, sometimes called hyperopia, is the term used to define being longsighted or far-sightedness.
• If a person is hypermetropic, the image of a nearby object is formed behind the retina. This means that light is focused too far back in the eye, causing things that are close up to appear blurred.
• A Convex lens is used to treat the defect known as hypermetropia.

Additional Information

The correct answer is Meghalaya.

Key Points

• Meghalaya state government has approved the “Policy on Reservation of seats for Women in Village Employment Councils (VECs)”.
• The State Government has brought the policy of reserving at least 50 percent of seats for women in the grassroots village-level community institutions (VECs).
• The policy entails, the position of the Secretary of VEC will be reserved for women members in all VECs on a rotational basis.
• Adult women who are active community workers with leadership qualities can contest this post.
• VECs are apolitical organizations formed for the implementation of MGNREGA works.

Additional Information

The correct answer is Rajya Sabha.

Key Points

• The resolution for the removal of the Vice president of India can be moved to Rajya Sabha only.

Important Points

• Vice President:
• Article 63 states that "There shall be a Vice President of India."
• He should have completed 35 years of age.
• He should not be should be a member of any house but he should be qualified to be elected as a member of the Rajya Sabha.
• He is elected indirectly by the principle of Proportional Representation by means of a Single Transferable Vote.
• The electoral college consists of elected and nominated members of both Lok Sabha and Rajya Sabha.
• He holds office for a term of 5 years i.e he is elected for a term of five years.
• Indian Vice-President is an ex-officio chairman of Rajya Sabha.
• He may resign his office by submitting his resignation to the President.

The correct answer is Democratic Republic of Congo.

Key Points

• Mount Nyiragongo is an active stratovolcano in the Democratic Republic of Congo with an elevation of 3,470 m in the Virunga Mountains associated with the Albertine Rift.
• As the active volcano in Congo, Mount Nyiragongo, erupted again, the Indian Army contingent under the United Nations peacekeeping mission (MONUSCO) assisted in protecting civilians and U.N. officials as well as assets during the evacuation.
• It is located inside Virunga National Park, in the Democratic Republic of the Congo, about 12 km north of the town of Goma and Lake Kivu.
• The main crater is about two kilometres (1mi) wide and usually contains a lava lake. Nyiragongo's lava lake has at times been the most voluminous known lava lake in recent history.
• Nyiragongo and nearby Nyamuragira are together responsible for 40% of Africa's historical volcanic eruptions.
• Lava lakes are large volumes of molten lava, usually basaltic, contained in a volcanic vent, crater, or broad depression.

The correct answer is 1956.

Key Points

• Industrial Policy of 1948
• The first industrial policy after independence was announced on 6th April 1948.
• It was presented by Dr. Shyama Prasad Mukherjee the then Industry Minister.
• The main goal of this policy was to accelerate the industrial development by introducing a mixed economy where the private and public sector was accepted as important in the development of the economy.
• Industrial Policy Resolution, 1956
• ​This second industrial policy was announced on April 20, 1956, which replaced the policy of 1948.
• In 1956  the Indian Policy Resolution was adopted by the Parliament.
• The features of this policy were:
• A new classification of Industries.
• Non-discriminatory and fair treatment for the private sector.
• Promotion of village and small-scale industries.
• To achieve development by removing regional disparity.
• Labour welfare.
• It was regarded as the “Economic Constitution of India” or “The Bible of State Capitalism”.

Given:

Roli takes 3 hours to type 24 pages

Neelam takes 9 hours to type 45 pages

Calculation:

According to the question,

Roli's typing speed = $\dfrac{24}{3}$ pages/hr = 8 pages/hr

Neelam's typing speed = $\dfrac{45}{9}$ pages/hr = 5 pages/hr

So, both will type, 8 + 5 = 13 pages/hr

To type 391 pages together,

⇒ $\dfrac{391}{13}$ = 27 hours

∴ The required answer will 27 hours.

Given:

Average of 45 numbers = 33

First 15 numbers average = 28

Last 25 numbers average = 35

Formula used:

Average of n numbers = Sum of total numbers/n

Solution:

Let the sum of the remaining numbers be S

Sum of total numbers = 45 × 33 = 1485

Sum of first 15 numbers = 15 × 28 = 420

Sum of last 25 numbers = 25 × 35 = 875

According to the question,

1485 = 420 + 875 + S

⇒ S = 190

Average of the remaining 5 numbers = 190/5 = 38 

∴  Average of the remaining 5 numbers is 38.

Given:

Diagonal of the kite = 16 cm

Area of the kite = 96 cm²

Concept:

The kite takes the shape of a rhombus.

Formula used:

Area of a rhombus = $\dfrac{d1 × d2}{2}$; here d₁ and d₂ are lengths of the diagonals

Calculation:

According to the question,

96 = $\dfrac{16 \times d2}{2}$

⇒ d2 = 12

∴ Length of the other diagonal(d2) 12 cm.

Given:

3(p + q) = 243

5(q - p) = 5

Formula used:

If am + n = ax, then x = m + n

Calculation:

3(p + q) = 243

⇒ 3^{(p + q)} = 3⁵

⇒ p + q = 5     ----eq.1

5(q - p) = 5

⇒ q - p = 1     ----eq. 2

By solving eq.1 and eq. 2

p = 2 and q = 3

∴ The value of (p × q) = 2 × 3 = 6.

Given:

Ratio of the share of the profit of A, B and C (respectively) = 2 : 5 : 3

Ratio of the time period of the investments of A, B and C (in months) = 8 : 6 : 9

Formula used:

The ratio of the share of profits = Ratio of the product of investments and time period

Calculation:

Let the ratio of investments of A, B and C be in the ratio a : b : c

According to the question,

2 : 5 : 3 = 8a : 6b : 9c

⇒ $\dfrac{8a}{6b} = \dfrac{2}{5}$, $\dfrac{6b}{9c} = \dfrac{5}{3}$, $\dfrac{8a}{9c} = \dfrac{2}{3}$

⇒ 40a = 12b, 18b = 45c, 24a = 18c

⇒ $\dfrac{a}{b} = \dfrac{3}{10}$     ---- eq.1

⇒ $\dfrac{b}{c} = \dfrac{5}{2}$     ----eq.2

⇒ $\dfrac{a}{c} = \dfrac{3}{4}$     ----eq.3

By multiplying eq.2 by 2; we get $\dfrac{b}{c} = \dfrac{10}{4}$    ----eq.4

Now by equations 1,3 and 4 we get, a : b : c = 3 ∶ 10 ∶ 4

∴ The ratio of their investments is 3 ∶ 10 ∶ 4.

Given:

The cost price of both products are equal

Profit on 1st item = 20%

Profit on 2nd item = 15%

Concept:

Profit is always calculated on the base of Cost price

Profit % = (Profit/Cost Price) × 100

Calculation:

Let the cost price of the items = 100

Then, according to the question,

Profit on 1st item = 20% of 100 = 20

Profit on 2nd item = 15% of 100 =15

⇒ Total profit on selling both the items = 35

Also, total cost price = 200

⇒ Total profit% = $\dfrac{35}{200}$ × 100 = 17.5%

Given:

Number of employees in IT department of organization C = 160

Solution:

Total number of employees in organization C = 120 + 100 + 115 + 160 + 130 = 625

∴ The percent of the total number of employees in organization C in all the departments together = $\dfrac{160}{625} \times 100$ = 25.6%

Solution:

$\dfrac{88}{46}$ ~ 1.91

$\dfrac{895}{428}$ ~ 2.09

$\dfrac{313}{150}$ ~ 2.08

$\dfrac{23}{12}$ ~ 1.91

∴ The largest fraction = $\dfrac{895}{428}$

Given:

$\sqrt[3]{8000} + \sqrt[3]{27} - \sqrt[3]{343} = ?$

Calculation:

$\sqrt[3]{8000}$ = 20, $\sqrt[3]{27}$ = 3, $\sqrt[3]{343}$ = 7

∴ $\sqrt[3]{8000} + \sqrt[3]{27} - \sqrt[3]{343}$ = 20 + 3 - 7 = 16

∴ The required answer will be ​16.

Given:

Sale of company T (in Rs. crore) = 70.4

Calculation:

Total sales = 42.2 + 55.8 + 66.6 + 38.7 + 70.4 + 86.3 = 360

∴ Percentage of the total sales of the given six companies together was the sale of company T = $\dfrac{70.4}{360} \times 100$ = ~ 19.55

Given:

Total number of student = 200

13% student got distinction.

20% girls got distinction.

Calculation:

The total number of students got distinction-

 ⇒200 × (13/100) = 26 students.

Let the number of girls who got distinction is x

Then according to question, number of boys who got distinction will be (x + 2)

⇒ x + (x + 2) = 26

⇒ 2x = 24

⇒ x = 12.

Since, 20% of girls get distinction = 12

⇒ Total girls = 12 × (100/20)

⇒ 60

Total boys = 200 - 60 = 140

∴ Option C is correct.

Given:

Length of edge of cube = 8 cm.

2 cube are join to mad cuboid.

Formula used:

Volume of cuboid = l × b × h

Where, l = length, b = breadth, h = height

Calculation:

According to the question,

After the joining of two cubes the new dimensions will be-

Length = 8 + 8 = 16 cm

breadth = 8 cm

height = 8 cm

Volume of the new cuboid so formed = 16 × 8 × 8

⇒ 1024 cm³

∴ Option A is correct.

Given:

LCM = 3 times of HCF.

LCM + HCF = 44

1^st number = 11.

Formula used:

LCM × HCF = 1st number × 2^nd number

Calculation:

Let HCF be x, LCM be 3x

According to question:

⇒ 3x + x = 44

⇒ 4x = 44

HCF = x = 11, 

LCM = 3x = 33.

Applying, LCM × HCF = 1st number × 2nd number

⇒ 11 × 33 = 11 × 2nd number

⇒ 2nd number = 33

∴ Option C is correct.

Given:

3600 is divided into two pats.

1st principal = 8% p.a for 2 years.

2nd Principal = 9% p.a for 3 years.

Total S.I = 741.

Formula used:

Simple Interest = (Principal × Rate × Time)/100

Calculation:

Let the amount invested at 8% p.a be x

Then the amount invested at 9% p.a = (3600 - x)

According the question

⇒ (x × 2 × 8)/100 + [(3600 - x) × 9 × 3]/100

⇒ 0.16x + 0.27(3600 - x) = 741

⇒ x = Rs. 2100

∴ Option B is correct.

Given:

The ratio of Upstream to downstream = 2:3.

"t" hours required to cover 45 km in downstream.

Concept used:

Downstream = m + c

Upstream = m - c.

where m = Speed of boat in still water.

C = Speed of current of water.

Formula used:

Speed = Distance/Time

Calculation:

Using componendo and Dividendo rule,

⇒ (m+c)/(m-c) = 3 : 2

⇒ m/c = 5/1

Let x be the common term.

For downstream = 6x, for upstream = 4x

Time taken to cover 45km in downstream

⇒ t = 45/6x

Distance travelled by boat in upstream

⇒ d = 4x × (45/6x)

⇒ 30 km

∴ Option C is correct.

Given:

The ratio of tin, copper and zinc in the ratio of 4:6:5 respectively. 

Total quantity of Alloy = 120 kg.

Calculation:

Tin = (4/15) × 120 = 32 kg.

Copper = (6/15) × 120 = 48 kg.

Zinc = (5/15) × 120 = 40 kg.

If we add "x" kg of copper to the alloy then it's ratio = 4 : 7 : 5

⇒ (New quantity of copper)/(New quantity of Alloy) = 7/(4 + 7 + 5)

⇒ (48 + x)/(120 + x) = 7/16.

⇒ 16x + 768 = 7x + 840

⇒ 9x = 72

⇒ x = 8 kg

∴ Option D is correct.

Concept Used : 

BODMAS rule is followed as per the below table:

Calculation:

(420 ÷ 12 × 35 + 452 - 152) = ?2

Let the unknown number be x.

(420 ÷ 12 × 35 + 452 - 152) = x2

⇒ (35 × 35 + 452 - 152) = x2

⇒ (35 × 35 + 45 × 45 - 15 × 15) = x²

⇒ 1225 + 2025 - 225 = x2

⇒ 3250 - 225 = x2

⇒ x² = 3025

⇒ x = 55

∴ Option A is correct.

Given:

From the table,

Number of employees from Finance departments of organization B = 75

Number of employees from  Marketing departments of organization B = 90.

Number of employees from Finance departments of organization D = 220.

Number of employees from  Marketing departments of organization D = 200.

Calculation:

⇒ 75 + 90 : 220 + 200

⇒ 165 : 420

⇒  11 : 28

∴ Option D is correct.

Given:

Average speed = 30 km/hr, then he reaches college in 2 hrs.

Formula used:

Distance = Speed × Time

Calculation:

Distance = 30 × 2 = 60 km

If he went by car, it would take 1.5 hrs

Average speed = 60/1.5

⇒ 40 km/h.

∴ Option A is correct.

Given:

Reduction of shirt by 25%

Increment of selling by 20%

Calculation:

Let the initial cost of shirt = 100

Final cost = 75.

Let the initial quantity of shirt = 100

Final quantity = 120

Revenue = cost per piece × no. of piece

⇒ 100 × 100 : 75 × 120

⇒ 10000 : 9000

⇒ Reduction of 1000 on 10000

⇒ (1000/10000) × 100

⇒ 10% Reduction.

∴ Option A is correct.

The correct answer is 'SRQP'.

Key Points

• Statement S will be the first in sequence as it introduces the subject of the sentence 'Healthy and Nutritious food'.
• Statement R will follow Statement S as it states what comes to our mind when we mention 'healthy' which is mentioned in statement S.
• Statement Q will follow statement R as it states the reason why vegetables are healthy.
• Statement P will be the last part.

Therefore, the correct sequence is SRQP.

• Sequence:
• S. Filling your plate with healthy and nutritious food items is an effective way to lose weight.
• R. When we use the term healthy, vegetable is the first word that comes to our mind.
• Q. Low in calories, nutrient-dense, versatile and tasty.
• P. There are so many reasons to include veggies into your diet.

The correct answer is 'on'.

Key Points

• Preposition:  It is a word used to link nouns, pronouns, or phrases to other words within a sentence. Most common prepositions are 'of', 'in', 'for', 'on', etc.
• On: As a preposition 'On' is used to express touching a surface or being supported by a surface.
• Example: We could hang this picture on the wall next to the door.
• Thus, 'on' will be used in the blank as the sentence is expressing the contact of a person with the grass.

Therefore, the correct answer is: 'She slipped on damp grass, breaking a leg, cracking a bone in the other and hurting her shoulder.'

Additional Information 

• Let's explore other options:
• By: As a preposition 'By' is used to show the person or thing that does something.
• Example: The motorcycle was driven by a tiny bald man.
• To: As a preposition 'To' is used after some verbs, especially when the action described in the infinitive will happen later.
• Example: She agreed to help.
• At: As a preposition 'At' is used to show an exact position or particular place.
• Example: We'll meet you at the entrance.

The correct answer is 'Modest'.

Key Points 

• Let's explore the meaning of the marked word and the given word.
• Ostentatious: characterized by vulgar or pretentious display; designed to impress or attract notice.
• Example: They criticized the ostentatious lifestyle of their leaders.
• Modest: not large in size or amount, or not expensive.
• Example: They live in a fairly modest house, considering their wealth.
• From above, we can refer that the correct answer is option 3.

 Additional Information 

• Flamboyance: the quality of being bright, colorful, and very noticeable.
• Example: This classic Spanish revival building is unique in its elegance and flamboyance.
• Innocence: the fact that someone is not guilty of a crime.
• Example: She pleaded her innocence, but no one believed her.
• Purity: the quality or state of not being mixed with anything else.
• Example: The purity of the city’s water is checked regularly at its reservoirs.

The correct answer is 'If he had wrote the examination faster'  i.e. error lies in this part of the sentence.

Key Points

• The error lies in 'If he had wrote the examination faster' part of the sentence.
• Wrote needs to be replaced with written..
• This sentence is an example of the Third conditional sentence. These sentences express situations that can not exist. The actions and events that happened in the past. These are often used to indicate a missed opportunities.
• Structure for Third conditional:
• If/when+ past perfect+would have+ past participle.

​The correct sentence is- If he had written the examination faster and answered one more question he would have scored better. ​

Additional Information  

• Conditional sentence:- As the name suggests, these sentences express conditions.
• In conditional sentences, there are two clauses of the sentences. One is a conditional clause and another one is main clause.
• Conditional sentences are of four types-

The correct answer is 'Multimedia'.

Key Points 

• Multimedia: using a combination of moving and still pictures, sound, music, and words, especially in computers or entertainment.
• Example: For three days, top artists from the worlds of advanced music and multimedia showcase their art.
• Thus, from above, the correct answer is option 1.

Additional Information 

 

• Multitasking: a person's or product's ability to do more than one thing at a time.
• Example: To succeed, you will need strong multitasking skills.
• Multiple: consisting of or involving many things or types of things.
• Example: Make multiple copies of the report.
• Multimillionaire:  a person who has money and property worth several million dollars, pounds, euros, etc.
• Example: The dotcom phenomenon made multimillionaires of many internet entrepreneurs.

The correct answer is 'Puzzle'.

Key Points

 

• Let's explore the meaning of the marked word and the given word.
• Ambivalence: the state of having mixed feelings or contradictory ideas about something or someone
• Example: Real social relationships are marked by ambiguity and ambivalence.
• Puzzle: cause (someone) to feel confused because they cannot understand or make sense of something.
• Example: The findings of the survey puzzle me - they're not at all what I would have expected.
• From above, we can refer that the correct answer is option 1.

Additional Information 

 

• Intensity: the quality of being felt strongly or having a very strong effect.
• Example: The explosion was of such intensity that it was heard five miles away.
• Despair: the feeling that there is no hope and that you can do nothing to improve a difficult or worrying situation.
• Example: Their fourth year without rain drove many farmers to despair.
• Violence: behavior involving physical force intended to hurt, damage, or kill someone or something.
• Example: It seems that the attack was a gratuitous/random/mindless act of violence.

The correct answer is  'To bear the consequences​.'

Key Points 

• To face the music: It is an idiomatic phrase which means to meet the consequences of one’s bad behavior, mistakes, and the like.
• Example:  Rather than face the music at a trial, Abingdon chose to plea bargain.
• Thus, from above we can say that the correct answer is option 1.

The correct answer is 'maintain'.

Key Points

• Let's explore the meaning of the given options:

 

• Thus, from the above-given explanation, we can say that 'maintain' will be used in the blank.
• Therefore, the correct answer is option 2.

The correct answer is option 2.

Key Points

• Let's explore the options:
• Option 1, It is grammatically incorrect because the verb 'allow' is succeded by a gerund or infinitive in a sentence. If there is no object then 'allow' will be followed by a gerund and if there is an object then 'allow' will be followed by an infinitive. In the given sentence there is no object therefore, it needs to be succeeded by a gerund. therefore, 'uploaded' needs to be replaced with 'uploading' to make the sentence grammatically correct.
• Option 2, This statement is grammatically and contextually correct.
• Option 3, it is grammatically incorrect because 'should' needs to be succeeded by 'be'  when it is used to state your opinion that you think ought to happen.Thus, 'be' needs to be added before 'available' to make the sentence grammatically correct.
• Option 4, It is grammatically incorrect because we need a preposition to connect 'centre' with 'rules' and 'including' is a preposition which means containing as part of the whole being considered. Therefore, to correct this sentence 'include' needs to be replaced with 'including'.
• Thus, the correct answer is option 2.

The correct answer is 'Forerunner'.

Key Points

 

• Forerunner: something or someone that acts as an early and less advanced model for what will appear in the future, or a warning or sign of what is to follow.
• Example: Germany's Green party was said to be the forerunner of environmental parties throughout Europe.
• Thus, from above, we can refer that the correct answer is option 4.

The correct answer is 'No substitution required'.

Key Points

• The given sentence required no substitution and is grammatically correct.
• The given sentence is an example of passive voice of simple future tense.
• Structure:
• Active sentence- subject + shall / will + base form of verb + object.
• Passive sentence- object of the active sentence + shall / will+ be + past participle ( third form ) of the verb + by + subject of the active sentence.
• Example:
• She will draw a picture today. (Active Voice)
• A picture will be drawn by her today. (Passive voice)
• Thus, from above, the correct answer is option 1 and the sentence requires no substitution.

Additional Information

• Active voice means that a sentence has a subject that acts upon its verb.
• Passive voice means that a subject is a recipient of a verb’s action.

The correct answer is 'PRQS'.

Key Points

• Statement P  will be the first in sequence as it introduces the subject of the sentence 'The government of Maharashtra'.
• Statement R will follow Statement P as it states the conditions of the gathering of people for celebrating the 'Ganesh festival' mentioned in statement P.
• Statement Q will follow statement R as it states the conditions for the gathering of people for more than '20 people' which is mentioned in statement R.
• Statement S will be the last part.

Therefore, the correct sequence is PRQS.

• Sequence:
• P. The government of Maharashtra has come up with guidelines for organising of Ganesh Festival.
• R: At any given time, no more than 20 people will be allowed to gather in the sanctum within the pandal where the Ganesh idol is kept for worshipping.
• Q: If organizers need to have more than 20 people, then they need to take permission from the local District Collector.
• S. The District Collector will then verify the size of the pandal and will give permission if satisfied that social distancing will be maintained with 20 plus people.

The correct answer is 'To experience unpleasant consequences.'

Key Points 

• To burn your finger​: It is an idiomatic phrase which means To suffer an unpleasant or ruinous consequence (especially the loss of money) for some action, often such that one becomes unwilling or reluctant to do it again.
• Example: During the boom times, countless would-be investors put everything they owned into shady investment deals, and most of them ended up burning their fingers badly.
• Thus, from above we can say that the correct answer is option 2.

The correct answer is 'population growing, rising demand and technological development.'

Key Points

• There is no word such as 'populational', thus it is needed to be replaced with 'population'.
• 'Technology' needs to be replaced with 'Technological'.
• Adjective: These are the words that are used to describe or qualify a noun.
• Here, in the given sentence 'development' is a noun and 'technology' is used to qualify the noun 'development' which is incorrect.
• Thus, the correct answer is option 2.

Therefore, the correct sentence is: 'Since 1970, trends in agricultural production, fish harvest, bio-energy production and harvest of materials have increased, in response to **population growth, rising demand and technological development.'**

The correct answer is 'Gaurmet', i.e. it is a wrongly spelt word.

Key Points

• Gaurmet: It is a wrongly spelt word. The correct spelling is 'Gourmet'.
• Gourmet: a person who knows a lot about food and cooking, and who enjoys eating high-quality food.
• Example: In an ideal world, most people would prefer gourmet cuisine, but it is costly and difficult to prepare.
• Thus, from the above-given explanation, we can say that the correct answer is option 1.

Additional Information 

 

• Grandeur: the quality of being very large and special or beautiful.
• Example: We were struck by the silent grandeur of the desert.
• Grateful: showing or expressing thanks, especially to another person.
• Example: If you could get that report finished by Thursday, I'd be very grateful.
• Guarantee: to promise that something will happen or exist.
• Example: European Airlines guarantees its customers top-quality service.

The correct answer is 'Julius Caesar'.

Key Points

• Let's refer to the following lines of the passage:
• Fellow senators, Caius Cassius and Marcus Brutus, are suspicious of Caesar's reactions to the power he holds in the Republic. They fear he will accept offers to become Emperor. He has been gaining a lot of power recently and people treat him like a god. Cassius, a successful general himself, is jealous of Caesar. Brutus has a more balanced view of the political position.
• From, above we can refer that the correct answer is option 2.

The correct answer is 'At the Capitol, Cassius is stabbed by each conspirator in turn.' i.e. it is an incorrect statement.

Key Points

• Let's refer to the following lines of the passage:
• Caesar is nevertheless persuaded by flattery to go to the Capitol. At the Capitol, he is stabbed by each conspirator in turn.
• As Brutus gives the final blow, Caesar utters the famous phrase: Et tu, Brute?
• They offered Caesar a crown three times, and he refused it every time. But the conspirators are still wary of his aspirations.
• Thus, from above we can refer that the correct answer is option 3. As it wasn't Cassius but Caesar who was stabbed by each conspirator in turn.

The correct answer is 'to manipulate Brutus to join their cause to remove Caesar'.

Key Points

• Let's refer to the following lines of the passage:
• Cassius, Casca, and their allies plant false documents to manipulate Brutus to join their cause to remove Caesar.
• Thus, from above we can refer that the correct answer is option 4.

The correct answer is 'Brutus' wife'.

Key Points

• Let's refer t the following lines of the passage:
• Brutus is troubled but refuses to confide in his devoted wife, Portia.
• Thus, the correct answer is option 1.

The correct answer is 'because she had a visionary dream of something bad to happen'.

Key Points

• Let's referar's to the following lines of the passage:
• On 15 March, Caes wife, Calpurnia, urges him not to go to the Senate. She has had visionary dreams and fears the portents of the overnight storms.
• Thus, from above, we can refer that the correct answer is option 1.

जो क्रियाएँ संज्ञा या विशेषण बनती हैं, उन्हें "नामधातु क्रिया" कहते हैं। - इस वाक्य में योजक चिन्ह का प्रयोग नही किया गया है। 

स्पष्टीकरण: 

योजक चिन्ह- हिंदी में अल्पविराम के बाद योजक चिन्ह का प्रयोग अधिक होता है। दो शब्दों में परस्पर संबंध स्पष्ट करने के लिए तथा उन्हें जोड़कर लिखने के लिए योजक-चिन्ह का प्रयोग किया जाता है। इसे 'विभाजक-चिन्ह' भी कहते है।

Key Points

अन्य विकल्प:  

खिलाड़ी मैच खेल रहे थे। इस वाक्य में क्रिया की अपूर्णता का बोध हो रहा है, अतः 'अपूर्ण भूतकाल' उचित विकल्प है।

Key Points

• 'जो क्रिया अभी हो रही थी' उसे अपूर्ण भूतकाल कहते हैं।
• अपूर्ण का अर्थ होता है – अधूरा।
• क्रिया के जिस रूप से कार्य के लगातार होने का पता चलता था, उसे अपूर्ण भूतकाल कहते है।
• जिन वाक्यों के अंत में रहा था, रहे थे, रही थी, आदि आते है, उसे अपूर्ण भूतकाल कहते हैं।

Important Points

Additional Information

ओह! कितनी ठंडी रात है। - यह वाक्य विस्मयादिबोधक वाक्य का प्रकार है। 

Key Points

अन्य विकल्प

• हम यह कार्य नहीं करेंगे। यह निषेध वाचक वाक्य है।
• आप जीवन में उन्नति करें। यह इच्छावाचक वाक्य है।
• सुमित अब जा चुका होगा। यह संदेह वाचक वाक्य का उदाहरण है।

Additional Information

विशेष

दिए गए विकल्पों में से सही उत्तर विकल्प 3 ‘स्थावर’ है। अन्य विकल्प इसके गलत उत्तर हैं।

 

Key Points

• ‘ जिसे एक स्थान से उठाकर दूसरे स्थान पर न ले जा सकें - स्थावर कहा जाता है।

अन्य विकल्प:​

Additional Information

'हम' यह उत्तमपुरुष वाचक सर्वनाम का उदाहरण है। 

Key Pointsअन्य विकल्प:

• तुम - मध्यमपुरुष वाचक सर्वनाम है।
• वे - अन्यपुरुष वाचक सर्वनाम है।
• आप - यह मध्यमपुरुष वाचक सर्वनाम है।

Additional Information

उपरोक्त विकल्पों में 'संदेह' निष्ठा का पर्यायवाची शब्द नही है। अत: विकल्प 'संदेह' इसका सही उत्तर है। अन्य विकल्प असंगत हैं। 

Key Points

अन्य  विकल्प:

Additional Information

विशेष:

उपर्युक्त विकल्पों में से विकल्प 1 ‘सवाक्​’ सही उत्तर है। अन्य विकल्प इसके सही उत्तर नहीं हैं।

Key Points

• 'अवाक्' का सही विलोम शब्द 'सवाक्' है।
• अवाक् का अर्थ –  चकित, मौन।
• सवाक् का अर्थ – बोलता हुआ।

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अन्य शब्द - 

 

Additional Information