DSSSB PGT Commerce (Male) Official Paper (Held On: 28 Jun, 2021 Shift 1) (Previous Year Paper)

As per the given information;

Hence, finally, the river is flowing in the West direction.

From the figure ABCD, we can see that there are in total 30 squares.

Hence, the correct answer is "30".

Shortcut Trick

It's clear from the analysis above that the solution in the case of n x n is the sum of the squares from n2 to 12 that is to say n2 + (n-1)2 + (n-2)2 ... ... 22 + 12 Mathematically that is written as follows:  

For example:

For 4 × 4 matrix

Number of squares: 42 + 32 + 22 + 12 = 16 + 9 + 4 + 1 = 30

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

Now; checking each option one by one;

1) Some digits are not alphabets → False (As All digits are alphabet. So, Some not case are not true)

2) Some digits are alphabets → True (As All digits are alphabets. So, some digits are alphabets are definitely true)

3) Some alphabets are not numbers → False (As Some numbers are digits and All digits are alphabets. So, we can't say some alphabets are not numbers)

4) All numbers are alphabets → False (As Some numbers are digits and All digits are alphabets. So, we can't say about All)

Hence, option (2) is the correct answer.

Additional Information

.’Some’ is a subset of ‘All’. If in statements it is given that ‘All A are B’ then the conclusion ‘Some A are B’ would always be True.

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

Conclusions:

1. All horses are grass → True (It is clear that all the horses are buffaloes and all the buffaloes are grass so all horses are grass is a definite conclusion).
2. All grass are horses → False (It is possible but not definite).

Hence, the correct answer is "If only conclusion I follows".

Additional Information

Suppose for an Example: All A are B.

If we go from In to Out means from A to B then cases with All and some will be true like All A are B and Some A are B.

But if we go Out to In then only cases with Some will be true and All will be can't say like Some B are A will be true but All B are A will be can't say.

The pattern followed is:

Hence, the correct answer is "AVZA".

LOGIC: 

Upper figure sides = Bottom Figure side + 1

1) In Option 1:

Upper Figure = Pentagon

Side of Pentagon = 5

Bottom Figure = Square

Side of Square = 4

2) In Option 2:

Upper Figure = Hexagon

Side of Hexagon = 6

Bottom Figure = Pentagon

Side of Pentagon = 5

3) In Option 3:

Upper Figure = Square

Side of Square = 4

Bottom Figure = Triangle

Side of Triangle = 3

4) In option 4:

Upper Figure = Circle

Bottom Figure = Triangle

Side of Triangle = 3

Hence, option (4) is the correct answer.

Side of polygons and their name:

Polygon	Number of Sides	Figure
Triangle	3
Square	4
Pentagon	5
Hexagon	6
Heptagon	7
Octagon	8
Nonagon	9
Decagon	10

The pattern followed is:

Hence, the correct answer is "H9M".

The pattern followed here is:

The positional value of the letter is given as their code.

Given code:

 'CUTE' is coded as '321205'

Similarly,

Thus ‘HOPE’ is written as ‘815165’

Hence, the correct answer is "815165".

Bark is a sound most commonly produced by dogs.

Similarly;

Grasshoppers make a chirping sound by running their hind legs against their wings. 

Hence, "Grasshopper : Chirp" is the correct answer. 

Additional Information

• Sound of bear:- Roar, growl
• Sound of the bat:- Squeak
• Sound of camel:- Grunt

Decoding the giving information,

Given expression,

8 - 3 + 12 - 7 ÷ 8

After changing the sign,

8 + 3 × 12 + 7 - 8

Using the BODMAS rule,

8 + 3 × 12 + 7 - 8

8 + 36 + 7 - 8

51 - 8

43.

Hence, the correct answer is "43".

The family chart is as follows:

i) P is daughter of Q, while Q and R are sisters of each other.

ii) S is mother of R.

iii) If M is son of S

Drawing the family tree as per the given information:

Option 1: S is brother of Q

This is incorrect as S is the mother of the Q.

Option 2: M is cousin of Q

This is incorrect as M and Q are brother and sister.

Option 3: M is maternal uncle of P

This is correct as M is the maternal uncle of P.

Option 4: Q is brother of M

This is incorrect as Q is the sister of M.

Hence, the correct answer is "Option 3".

Five friends: Satish, Kishore, Mohan, Anil and Rajesh.

1. Satish is shorter than Kishore but taller than Rajesh.

Kishore > Satish > Rajesh

2. Anil is a little shorter than Kishore but a little taller than Satish.

Kishore > Anil > Satish

3) Mohan is the tallest.

Combining all these statements;

Mohan > Kishore > Anil > Satish > Rajesh

So, Satish is taller than Rajesh but shorter than Anil.

Hence, "Satish" is the correct answer.

The logic followed is:

Thus option 3 completes the given figure.

Hence, the correct answer is "Option 3".

The correct Venn diagram representation is:

Both Alcohol and Water are evaporate.

Hence, option (4) is the correct answer.

The correct Venn diagram representation is:

All grandfathers are fathers but vice versa is not true.

Some brothers are father and grandfather

Hence, option (2) is the correct answer.

Taking dice positions (1) and (2) 5 as common,

Moving clockwise from the Common number 5,

Pair of opposite numbers:

1 - 4

2 - 5

3 - 6

So, the opposite number to 1 is 4.

Hence, the correct answer is "4".

The pattern followed is:

Similarly,

Hence, the correct answer is "NLVR".

The pattern followed here is;

Hence, "185" is the correct answer.

Statements:

N > W ≤ Q < F; W > G ≤ H > A

Conclusion:

I. Q ≥ H → False (Q ≥ W > G ≤ H; Can't determine the relation between Q and H)

II. G < N → True (N > W > G; G < N)

Hence, only conclusion II follows.

The logic followed is:

All the given options except option (3), is native to the Artic whereas camel lives in hot and dry climate i.e deserts.

Option 1: Polar bear

The polar bear is a hypercarnivorous bear whose native range lies largely within the Arctic Circle, encompassing the Arctic Ocean, its surrounding seas and surrounding land masses. It is the largest extant bear species, as well as the largest extant land carnivore.

Option 2: Arctic wolf

Often called the "polar wolf" or "white wolf," Arctic wolves inhabit the Arctic regions of North America and Greenland.

Option 3: Camel

Camels live in deserts, where it is hot and dry. Camels have adapted and found ways to help them survive in deserts.

Option 4: Musk ox

The Musk ox, also spelled musk ox and musk-ox, is a hoofed mammal of the family Bovidae. Native to the Arctic, it is noted for its thick coat and for the strong odor emitted by males during the seasonal rut, from which its name derives.

Thus option 3 is different from rest of them.

Hence, the correct answer is "Camel".

The correct answer is Ustad Bade Ghulam Ali Khan.

Key Points

• The most common epithet used to describe Ustad Ghulam Ali Khan is ‘Tansen of the 20^th century’.
• Often referred to as Bade (older) Ghulam Ali Khan to differentiate him from other maestros of the same name.
• The genius musician was one of the most legendary thumri vocalists of all time, who took the Patiala Gharana.
• Born on 2 April 1902 in Kasur (now in Pakistan), Bade Ghulam Ali Khan belonged to a family of musicians.
• He received his early training in vocals from his uncle Kale Khan (who had been a court singer in the princely state of Jammu and Kashmir).
• He charged an exorbitant price of Rs 25,000 per song. In comparison, mainstream playback singers like Mohammad Rafi and Lata Mangeshkar used to be paid Rs 500 per song in those days.
• He was awarded the Sangeet Natak Akademi Award and the Padma Bhushan in 1962.
• Ustad Bade Ghulam Ali Khan breathed last on April 25, 1968, at Basheerbagh Palace in Hyderabad.

Additional Information

The correct answer is BN Rau.

Key Points

• Sir Benegal Narsing Rau (BN Rao) was the constitutional advisor to the constitutional assembly.
• He recommended that the rights of an individual should be divided into two categories- justiciable and non-justiciable which were accepted by the drafting committee.
• He was also India's representative to the United Nations Security Council from 1950 to 1952.
• He was also a member of the Korean War post-Armistice United Nations Command Military Armistice Commission (UNCMAC).
• He was responsible for the general structure of its democratic framework of the Constitution and prepared its initial draft in February 1948.
• He also assisted in drafting the early Constitution of Myanmar, or Burma
• He also served as a judge of the International Court of Justice at The Hague.

Additional Information

The correct answer is Gharapuri.

Key Points

• Elephanta Island, also known as Gharapuri (“Fortress City”), is an island located in Mumbai (Bombay) Harbour of the Arabian Sea.
• It is located about 6 miles (10 km) east of Mumbai and 2 miles (3 km) west of the mainland coast of Maharashtra state, western India.
• This island is a popular tourist destination because of the island's cave temples, the Elephanta Caves, that have been carved out of the rock.
• Elephanta Island name was given in 16^th-century Portuguese explorers, after seeing a monolithic basalt sculpture of an elephant found near the entrance.

Additional Information

The correct answer is Pat Cummins.

Key Points

• India scripted history at the Gabba by beating Australia by three wickets to clinch the Border-Gavaskar Trophy 2-1.
• This was the 1^st defeat for Australia at their fortress Gabba in 32 years.
• Pat Cummins, who took 21 wickets in the 4 Tests and finished as the highest wicket-taker was adjudged the Man of the series.
• Whereas Rishabh Pant who made an unbeaten 89 and fittingly hit the winning runs was declared the Man of the match.

Important Points

• About Border Gavaskar Trophy
• It is named after Alan Border of Australia and Sunil Gavaskar of India.
• Number of teams - 2
• Current trophy holder - India (10^th title)
• Most Runs - Sachin Tendulkar (3,235)
• Most wickets - Anil Kumble (105)
• Most successful - India (10 titles)
• First edition - 1996–97 (India)

The correct answer is JJ Thomson.

Key Points

• A British physicist J.J.Thomson Heightened the theory of Dalton.
• Thomson found the existence of extremely minute particles inside the atom.
• He compared the atom with a 'watermelon' in which the Red part resembles the positively charged portions while the black seed resembles the negatively charged electrons.
• The atom itself is neutral in nature, as it has equal positive and negative charged electrons.
• Thomson discovered 'Electrons' for which he got Nobel prize in 1906 A.D.
• Thomson proposed a better atomic theory than Dalton's atomic model.
• According to him, a positive charge is dispersed everywhere and the idea that atoms are made up of negative electrons embedded in a gel of positive charge was wrong.
• Electrons were accidentally discovered by J. J. Thomson while studying the cathode rays.
• The name electron was given by 'stony'.
• Cathode rays are emitted from the cathode in a straight line if these rays strike metal objects there is the formation of 'X-rays'.

Additional Information

The correct answer is Africa.

Key Points

• Africa:
• It is the second-largest continent.
• The continent's terrain was inhabitable and remained unknown for thousand years and hence, it is known as Dark Continent.
• The world's hottest place, Ethiopia is in Africa.
• World's longest river- the Nile and World's largest desert- the Sahara
• It is also regarded as the place where Humans originated.

Additional Information

• Asia:
• It is the world's largest continent.
• Asia houses the highest point on earth- Mount Everest.
• It covers one-third of the earth's surface.
• It saw the birth of two great ancient civilizations: the Harappan Civilization and the Chinese Civilization.
• South America:
• It is located in the western hemisphere.
• It is the fourth largest continent.
• It is connected to North America through the Isthmus of Panama.
• It has one mountain range i.e The Andes. and its highest point is Aconcagua.
• North America:
• ​North America is the third largest continent in the world.
• The continent lies completely in the Northern and Western Hemisphere.
• North America is bounded on the north by the Arctic Ocean, on the south by the Caribbean Sea.
• It has bounded also by the North Atlantic Ocean in the east and on the west by the North Pacific Ocean.
• Denali (Mount McKinley) in Alaska, is the highest point of the continent, rising 20,310 feet (6,190 meters) above sea level.
• Death Valley in California is its lowest point of the continent, at 282 feet (86 meters) below sea level.

The correct answer is Sanskrit.

Key Points

• Manusmriti is usually translated as "code of Manu", but it literally means "reflections of Manu".
• It was written in Sanskrit.
• It presents itself as a document that compiles and organizes the code of conduct for human society.
• Manu-smriti is the popular name of the work, which is officially known as Manava-dharma-shastra.
• The Manusmriti was one of the first Sanskrit texts studied by European philologists.
• It was first translated into English by Sir William Jones.
• His version was published in 1794.

Important Points

• As a text, Manusmriti is divided into 12 adhyayas or lessons and the four broad themes that emerge from the text are – the creation of the world, sources of Dharma, the dharma of the four social classes and the law of Karma, rebirth and the final liberation.
• Manusmriti declares seven means of acquiring wealth for men, while six means for acquiring wealth for women.
• For men - Inheritance, Finding, Conquest, Purchase, Investment, Work, and acceptance of gifts from good people.
• For women - Streedhana (at the time of marriage)/Bridal Processions, Token of Affection (Whatever she got from her brother, mother, or father), subsequently a gift acquired after marriage from her husband, yet again, as a token of affection.

The correct answer is Bandhavgarh.

Key Points

• India's first hot air balloon wildlife safari in a tiger reserve.
• It was launched recently in Madhya Pradesh's famous Bandhavgarh Tiger Reserve.
• It was launched by Madhya Pradesh Forest Minister Vijay Shah.
• It was launched to compare the service to the safari activities in Africa’s forests to that of India and ensured that more such services will be introduced in Pench, Kanha, and Panna tiger reserves.
• The hot air balloon safari will allow tourists and wildlife enthusiasts to enjoy aerial views of magnificent tigers and leopards roaming with other wild animals in the reserve.

​

Additional Information

The correct answer is Hemant Kumar Pandey.

Key Points

• Senior scientist Hemant Kumar Pandey has been honoured with DRDO's 'Scientist of the Year Award' for his contribution in developing several herbal medicines, including the popular drug Lukoskin meant for the treatment of leucoderma.
• He has been undertaking research at the DRDO lab Defence Institute of Bio-Energy Research (DIBER) at Pithoragarh in Uttarakhand for the past 25 years.
• A formulation of around eight herbs found in the Himalayan region, Lukoskin helps in treating white patches and is marketed by Delhi-based Aimil Pharmaceuticals.

Additional Information

The correct answer is Gulmarg.

Key Points

• The 2^nd Khelo India National Winter Games took place in Gulmarg, Jammu, and Kashmir.
• The game was organized by the Winter Games Association of Jammu and Kashmir and the Jammu and Kashmir Sports Council, with the Indian Government's Ministry of Youth Affairs and Sports offering support.
• Union Territory of Jammu and Kashmir won the maximum number of medals.
• They won 11 gold, 18 silver, and 5 bronze to finish with a tally of 34 medals.
• The first edition of the Khelo India Winter Games was also held at Gulmarg in March 2020.

​

Important Points

• About Khelo India:
• ​Khelo India is a national sports development programme.
• Launched by the government to revive the sports culture in India at the grass-root level.
• Youth Games at school and college levels in various summer Olympic sports and more are already being held at a large scale under Khelo India since 2018.
• Now, winter sports are also receiving support from Khelo India.

The correct answer is 14.

Key Points

• The constitutional provisions on languages are in articles 344(1) and 351 of the Indian Constitution.
• The Eighth Schedule of the Indian Constitution includes 22 languages.
• Originally, it had 14 languages but presently there are 22 languages.
• The 22 languages are - Assamese, Bengali, Bodo, Dogri, Gujarati, Hindi, Kannada, Kashmiri, Konkani, Maithili, Malayalam, Manipuri, Marathi, Nepali, Odia, Punjabi, Sanskrit, Santali, Sindhi, Tamil, Telugu, and Urdu.

Important Points

• Sindhi was added by the 21^st Amendment Act of 1967.
• Konkani, Manipuri, and Nepali were added by the 71^st Amendment Act of 1992.
• Bodo, Dogri, Maithali, and Santhali were added by the 92^nd Amendment Act of 2003.
• Part XVII of the constitution consists of Articles on Official Language.
• Article 343 - 351 - Official Languages
• No script for the ​Konkani language.​

Additional Information

• Schedules in Indian Constitution

The correct answer is Hindi in Devnagari Script.

Key Points

• Part XVII is a compilation of rules and regulations concerned with the constitution of India.
• It contains Articles 343 to Article 351.
• Article 343(1) in The Constitution Of India 1949
• ​The official language of the Union shall be Hindi in Devanagari script The form of numerals to be used for the official purposes of the Union shall be the international form of Indian numerals.

Important Points

The correct answer is Bank Rate.

Key Points

• Bank Rate refers to the official interest rate at which RBI will provide loans to the banking system which includes commercial/cooperative banks, development banks etc.
• Such loans are given out either by direct lending or by rediscounting (buying back) the bills of commercial banks and treasury bills. Thus, the bank rate is also known as the discount rate.
• The bank rate is used as a signal by the RBI to the commercial banks on RBI’s thinking of what the interest rates should be.
• When RBI increases the bank rate, the cost of borrowing for banks rises and this credit volume gets reduced leading to a decline in the supply of money. Thus, an increase in the Bank rate reflects the tightening of RBI monetary policy.
• A decrease in the Bank rate reflects the loosening of RBI monetary policy.

Confusion Points

• The Repo rate is the rate at which the RBI lends to commercial banks by purchasing securities while the Bank rate is the lending rate at which commercial banks can borrow from the RBI without providing any security.
• **A reverse repo rate is said to be the rate of interest at which the central bank (RBI in India) borrows money from commercial banks for a short term.**​

Additional Information

The correct answer is Isobars.

Key Points

• Isobars are atoms of different chemical elements that have different atomic numbers but the same mass number.
• This is because they have the same number of nucleons.
• Example of Isobars:

Additional Information

The correct answer is Inscriptions.

Key Points

• Epigraphy:
• The study of the inscription is known as epigraphy.
• Inscriptions are seen on rocks, pillars, stones, slabs, copper plates, walls of buildings, and bodies of temples.
• The Asokan edicts, Allahabad Pillar Inscription of Samudragupta, Aihole Inscription of Pulakesin II, etc. are some major inscriptions of India.

Additional Information

The correct answer is Akbar.

Key Points

• Fatehpur Sikri is a town in Agra District (UP).
• Fatehpur Sikri was founded as the capital of the Mughal Empire in 1571 by Emperor Akbar.
• Fatehpur Sikri is the best example of Muslim architecture.
• The places to visit here include the Buland Darwaza, Tomb of Salim Chishti, Jama Masjid, Ibadat Khana, and more.
• The Ibādat Khāna was a meeting house built in 1575 CE by the Mughal Emperor Akbar at Fatehpur Sikri.
• The purpose was to gather spiritual leaders of different religious grounds so as to conduct a discussion on the teachings of the respective religious leaders.

Additional Information

• Sher Shah Suri:​
• Sher Shah Suri lived from 1486 to 1545 and is also known as Sher Khan or the Lion King.
• He founded the Sur Dynasty and ruled much of Afghanistan, Pakistan and northern India.
• His tomb is in the manner of Mughal garden tombs but is set in the midst of a lake.
• He died in an accidental gunpowder explosion in the fort of Kalinjar on the 10^th day of Rabi' al-awwal,13 May 1545 AD.
• The tomb of Sher Shah Suri is situated in Sasaram in the Rohtas district of Bihar state in India.
• The tomb was built in memory of Emperor Sher Shah Suri, a Pathan from Bihar who defeated the Mughal Empire and founded the Suri Empire in northern India.​
• Shah Jahan:​
• Shah Jahan's full name is Shahab-ud-din Muhammad Khurram.
• Shah Jahan was the 5^th Mughal Emperor of the Mughal dynasty.
• The Mahi Maratib was the highest honour in the Mughal Empire. It symbolized honour, bravery and strength and the Mughal emperors only conferred it upon their highest dignitaries.
• This honour of the Mahi Maratib was instituted by the Mughal emperor Shah Jahan sometime around 1632.
• Shah Jahan is known as "Engineer King".
• He is known by the name because of his inclination towards architecture.
• He built the Taj Mahal, Shahjahanabad (Delhi) city, Red Fort, Jama Masjid, Pearl Mosque, and Peacock throne.
• Humayun:​
• He was the second Mughal emperor.
• He was interested in Astronomy, Geography, Mathematics, and Astrology.
• He also received the Kohinoor diamond from the ruler of Gwalior.

The correct answer is New Zealand.

Key Points

• Edmund Hillary and Tenzing Norgay were the first people to climb Mount Everest.
• They achieved this feat together on May 29, 1953.
• Edmund Hillary was from New Zealand.
• Tenzing Norgay was a Nepali Indian mountaineer, belonging to the Sherpa tribe.

Important Points

• Mount Everest is the tallest peak in the world.
• Its height is 8848m(its height is increasing).
• It is located in the Greater Himalayas in Nepal.
• It runs along the border of Nepal and China.
• It can be accessed through Nepal as well as China.
• Most of the expeditions of the Himalayas takes place from Nepal.

Additional Information

The correct answer is 1935.

Key Points

• The Reserve Bank of India was established on April 1, 1935, in accordance with the provisions of the Reserve Bank of India Act, 1934.
• This central banking institution was established based on the suggestions of the “Royal Commission on Indian Currency & Finance” in 1926. This commission was also known as Hilton Young Commission.
• The Central Office of the Reserve Bank was initially established in Kolkata but was permanently moved to Mumbai in 1937.
• Though originally privately owned, since nationalisation in 1949, the Reserve Bank is fully owned by the Government of India.
• RBI regulates the credit and currency system in India.
• Governor - Shri Shaktikanta Das
• Deputy Governor -
• Shri Mahesh Kumar Jain
• Dr. M. D. Patra
• Shri M. Rajeshwar Rao
• Shri T. Rabi Sankar

The correct answer is Arya Rajendran.

Key Points

• In December 2020 Arya Rajendran become the youngest mayor of India (21 years) in the Thiruvananthapuram city of Kerala.
• ​She secured 54 votes in the 100-member Council in the election held on December 28.
• The head of the Municipal Corporation of the respective city elected by the public is called Mayor.
• Mayor is the First Citizen of the City.

Additional Information

The correct answer is Waman Subha Prabhu.

Key Points

• The book ‘Manohar Parrikar- Off the Record’ has been written by senior journalist Waman Subha Prabhu.
• Goa Chief Minister, Pramod Sawant released this book at a function organized at Institute Menezes Braganza hall in the city.
• In the book, the author has endeavoured to narrate the multi-faceted personality of the late Manohar Parrikar.

Additional Information

Given:

The number of users of brand A in city T is 700

The number of users of brand B in city Q is 500

Concept:

Percentage of gain marks = (Gain Marks/Total Marks) × 100

Calculation:

⇒ The required percentage = (700/500) × 100 = 140

∴ The required result will be 140%.

Given:

The Roli alone can do a work in 8 days

The Neelam alone can do the same work in 12 days

The Seema alone can do the same work in 13 days

Concept:

Work = Time × Efficiency

Calculation:

⇒ The efficiency of Roli = One day work of Roli = 1/8

⇒ The efficiency of Neelam = One day work of Neelam = 1/12

⇒ The efficiency of Seema = One day work of Seema = 1/13

⇒ The ratio of efficiency of Roli, Neelam and Seema respectively = 1/8 : 1/12 : 1/13 = 39 : 26 : 24

⇒ The share of Roli = {39/(39 + 26 + 24)} × (2225) = (39/89) × 2225 = 39 × 25 = 975

∴ The required result will be 975.

Given:

The total distance is 30 km

Concept:

Time = Distance/Speed

Calculation:

⇒ Let be assume the speed of Abhay is A and the speed of Sameer is B

⇒ In the first condition when both cover the distance with normal speed

⇒ 30/A - 30/B = 2

⇒ 1/A - 1/B = 1/15 

⇒ (B - A) × 15 = AB ...... (1)

⇒ In the second condition when Abhay doubles its speed

⇒ 30/B - 30/2A = 1

⇒ 1/B - 1/2A = 1/30 

⇒ (2A - B) × 15 = AB ....... (2)

⇒ By equation (1) and (2)

⇒ A/B = 2/3 .... (3)

⇒ By equation (1) and (3)

⇒ Abhay's speed = 5 km/h

∴ The required result will be 5 km/h.

Given:

The 7 - digit number 4x3074y

Concept:

For divisible by 24 number should be divisible by 8 and 3.

For divisible by 8 last three digits of the number should be divisible by 8.

For divisible by 3 sums of all digits of the number should be divisible by 3.

Calculation:

⇒ For divisible by 8 y should be 4 

⇒ 744 (last three digits of the number) is divisible by 8

⇒ For divisible by 3 = (4 + x + 3 + 0 + 7 + 4 + 4)/3     (where y = 4)

⇒ (22 + x)/3  ...... (1)

⇒ For divisible by 3 possible value of x is,

⇒ x = 2, (22 + 2)/3 = 24/3 = 8

⇒ x = 5, (22 + 5)/3 = 27/3 = 9

⇒ x = 8, (22 + 8)/3 = 30/3 = 10

⇒ Then not possible value will be 1

∴ The required result will be 1.

Given:

The new price of almonds is 468

Concept:

Percentage of gain marks = {(Gain Marks)/(Total Marks)} × 100

Calculation:

⇒ Let be assume initial price of almonds is X

According to question, 

⇒ X × (1 + 30/100) × (1 - 10/100) × (1 - 20/100) = 468

⇒ X × (130/100) × (90/100) × (80/100) = 468

⇒ X = 500

∴ The required result will be 500.

Given:

The total number of pages of the book is 352

Calculation:

We need to calculate the total digit used in 1 to 352

⇒ The single-digit number is 9 from 1 to 9

⇒ So, digit used single-digit number = 9 × 1 = 9

⇒ The two-digit number is 90 from 10 to 99

⇒ So, digits used in two-digit numbers = 90 × 2 = 180

⇒ The three-digit number is 253 from 100 to 352

⇒ So, digits used in three-digit numbers = 253 × 3 =759

⇒ Total digits used = 9 + 180 + 759 = 948

∴ The required result will be 948.

Given:

842 - 792 + √1936 - 20% of 980 = ?

Concept:

Calculation:

⇒ 842 - 792 + √1936 - 20% of 980 = ?

⇒ 7056 - 6241 + 44 - 196

⇒ 7100 - 6437

⇒ 663

∴ The required result will be 663.

Given:

Sandeep bought 8 items for Rs. 120

Sandeep sold 6 items for Rs. 126

Concept:

Profit percentage = (Selling price - Cost price)/Cost price × (100)

Calculation:

⇒ Cost price of 6 items = (120/8) × 6 = 90

⇒ The profit percange = (126 - 90)/90 × (100) = 40

∴ The required result will be 40%.

Given:

The speed of the boat in still water is 15 km/h

Concept:

The upstream speed = Speed of boat - Speed of stream

The downstream speed = Speed of boat + Speed of stream

Calculation:

⇒ Let be assume the speed of the stream is P

⇒ Time is taken by boat in upstream = 24/(15 - P)

⇒ Time taken by boat in downstream = 24/(15 + P)

⇒ According to question

⇒ 24/(15 - P) - 24/(15 + P) = 40/60

⇒ 24 ×{(15 + P - 15 + P)/(15² - P²)} = 2/3

⇒ 24 × {2P/(225 - P²)} = 2/3

⇒ 24 × 3 × P = 225 - P²

⇒ P² + 72P - 225 = 0

⇒ By solving 

⇒ P = -75, 3

⇒ P = 3     (Because speed can not be negative)

∴ The required result will be 3 km/h.

Given:

The red bucket sold on Monday is 225

The red bucket sold on Tuesday is 150

The red bucket sold on Wednesday is 175

Concept:

Average = (Total sum of all items)/(Total number of items)

Calculation:

⇒ The total bucket sold on Monday = (32/100) × 1250 = 400

⇒ The total bucket sold on Tuesday = (18/100) × 1250 = 225

⇒ The total bucket sold on Wednesday = (24/100) × 1250 = 300

⇒ The total green bucket sold on Monday = 400 - 225 = 175

⇒ The total green bucket sold on Tuesday = 225 - 150 = 75

⇒ The total green bucket sold on Wednesday = 300 - 175 = 125

⇒ The average number of green buckets sold on all three days = (175 + 75 + 125)/3 = 375/3 = 125

∴ The required result will be 125.

Given:

The radius of the circle is 8 cm and 15 cm respectively.

Concept:

The area of circle = π × (The radius of the circle)²

π = 22/7 or 3.14

Calculation:

Let be assume the radius of the big circle is R

⇒ The area of a circle whose radius is 8 cm = 22/7 × 8 × 8 = 1408/7 cm²

⇒ The area of a circle whose radius is 15 cm = 22/7 × 15 × 15 = 4950/7 cm²

⇒ The sum of the area of two circles = 1408/7 + 4950/7 = 6358/7

⇒ The area of big circle = π × R² = (22/7) × R²

⇒ According to question

⇒ (22/7) × R² = 6358/7

⇒ R² = 289

⇒ R = 17

∴ The required result will be 17.

Given:

Some fraction 52/25, 25/12, 49/24,and 39/17

Concept:

A fraction = Numerator/Denominator

Calculation:

⇒ 52/25 = 2.08

⇒ 25/12 = 2.083̅ 

⇒ 49/24 = 2.0416̅ 

⇒ 39/17 = 2.29411764705

⇒ 39/17 > 25/12 > 52/25 > 49/24

∴ The required result will be 49/24.

Given:

The sum is 1450, the time is 3 years and the Simple interest is Rs. 522

Concept:

The simple interest = (Principle × Time × Rate)/100

Calculation:

Let be assume the rate is R

⇒ 522 = (1450 × 3 × R)/100

⇒ R = (522 × 100)/(1450 × 3) = 12%

⇒ New rate will be = 12 + 4 = 16%       (According to question)

⇒ Simple interest = (1450 × 3 × 16)/100 = 69600/100 = 696

∴ The required result will be 696.

Given:

The average of 11, x, 25 and 15 is 15

The average of x, y,15 and 22 is 16

Concept:

Average = (Total sum of all items)/(Total number of items)

Calculation:

⇒ (11 + x + 25 + 15)/4 = 15

⇒ x + 51 = 60

⇒ x = 9

⇒ (x + y + 15 + 22)/4 = 16

⇒ (9 + y + 15 + 22) = 64

⇒ y = 18

⇒ The average of (y/x) + (x/y) = {(y/x) + (x/y)}/2 = {(18/9) + (9/18)}/2 = (2 + 0.5)/2 = 2.5/2 = 1.25

∴ The required result will be 1.25.

Given:

The equation is ?/3 of √625 = 225/? of 12

Concept:

Calculation:

⇒ ?/3 × (25) = 225/? × 12

⇒ ?² = (225 × 3 × 12)/25 = 9 × 3 × 12 = 324

⇒ ? = 18

∴ The required result will be 18.

Given:

The total number of red buckets sold on Wednesday = 175

The total number of buckets sold on Thursday = (16/100) × 1250 = 200

The total number of buckets sold on Friday = (10/100) × 1250 = 125

The total number of red buckets sold on Thursday = 75

The total number of red buckets sold on Friday = 50

Calculation:

⇒ The total number of red buckets sold on Wednesday and Thursday together = 175 + 75 = 250

⇒ The total number of green buckets sold on Thursdays = 200 - 75 = 125

⇒ The total number of green buckets sold on Friday = 125 - 50 = 75

⇒ The total number of green buckets sold on Thursday and Friday together = 125 + 75 = 200

⇒ The required ratio = 250 : 200 = 5 : 4

∴ The required result will be 5 : 4.

Given:

The ratio of expenditure and saving of Lokesh is 7 : 5

Concept:

Income = Expenditure + saving

Calculation:

Let be assume the expenditure and savings of Lokesh is 7x and 5x respectively

⇒ The income of Lokesh = 7x + 5x = 12x

⇒ Now income increased by 20% and expenditure increased by 10%

⇒ New income of Lokesh = (12x) × (1 + 20/100) = (12x) × (120/100) = 72x/5

⇒ New expenditure of Lokesh = (7x) × (1 + 10/100) = (7x) × (110/100) = 77x/10

⇒ New savings of Lokesh = 72x/5 - 77x/10 = (144x - 77x)/10 = 67x/10 = 6.7x

⇒ Lokesh saving increase percentage = (6.7x - 5x)/5x × 100 = 1.7 × 20 = 34%

∴ The required result will be 34%.

Given:

The radius of the solid sphere is 7 cm

The height of the pyramid is 22 cm

Concept:

The volume of square based pyramid = (1/3) × (The area of base) × Height

The volume of sphere = (4/3) × π × (The radius of the sphere)³

Calculation:

When we recast any solid in another solid then the volume is always the same.

Let be assume the side of the square base of the pyramid is A

⇒ The volume of sphere = (4/3) × (22/7) × (7)³ = (4 × 22 × 49)/3 = 4312/3

⇒ The volume of the pyramid = (1/3) × A² × 22 = (22A²)/3

⇒  (22A2)/3 = 4312/3

⇒ A² = 4312/22 = 196

⇒ A = 14 cm

∴ The required result will be 14 cm.

Given:

A vessel contains 120 litres of milk and water

Concept:

The total quantity of vessel = Quantity of milk in the vessel + Quantity of water in the vessel

Calculation:

Let be assume x litres of water is added to find the final mixture

⇒ The milk in original mixture = (5/8) × 120 = 75 L

⇒ The water in the original mixture = (3/8) × 120= 45 L

⇒ The new quantity of water in resultant mixture = 45 + x

⇒ 75 = 45 + x        (According to question)

⇒ x = 30

∴ The required result will be 30L.

Given:

The ratio of the present age of A and B is 7 : 8

The ratio of the present age of B and C is 2 : 1

Concept:

If a : b₁ and b₂ : c, then,

a : b : c = (a × b₂) : (b₁ × b₂) : (b₁ × c)

Calculation:

⇒ The ratio of the present age of A, B, and C respectively = 7 : 8 : 4

⇒ Let be assume the present age of A, B, and C is 7x, 8x, and 4x respectively

⇒ 7x - 4x = 9      (According to question)

⇒ 3x = 9

⇒ x = 3

⇒ The average of present age of A, B, and C = (7x + 8x + 4x)/3 = 19x/3

⇒ (19/3) × 3 = 19

∴ The required result will be 19 years.

The correct answer is 'Until there is a vaccine, nothing will be the way it was before.'

Key Points

• Let's explore the options:
• In statement 1 the error lies in the incorrect usage of the verb 'knew'. The statement is in simple past tense and it is used to denote an action that started in past, finished in past, and has no relation with the present. The negative structure of the simple past tense starts with subject followed by did not and the first form of the verb, thus the usage of 'knew' is incorrect here.
• In statement 3, the error lies in the incorrect usage of the infinitive. An infinitive is a form of the verb which follows the structure of 'to+ the first form of the verb', therefore the usage of 'following' is incorrect here in the sentence.
• In statement 4, the error lies in the incorrect usage of verb after the preposition 'on'. Generally, prepositions are succeeded by a noun or gerund. Therefore, the usage of 'maintain' is incorrect in the sentence.
• Statement 2 is a grammatically and contextually correct statement.
• Therefore, the correct answer is option 2.

Additional Information

• Gerund: When the -ing form of verb worked as a noun in a sentence then it is called a gerund.
• Example: Running is a good habit.

The correct answer is 'economic'.

Key Points

• The error lies in the incorrect usage of the noun 'economics' before another noun 'giant'.
• 'Economics' in the sentence is used to qualify the noun 'giant' which is incorrect as it is a name of the subject concerned with the production, consumption, and transfer of wealth therefore, can't be used as an adjective.
• 'Economic' is an adjective which means relating to economics or the economy.
• Thus, 'Economics' will be replaced with 'Economic'.

Therefore, the correct sentence is: 'India has become an economic giant, the largest democracy ever to exist and one of the most amazing nations anywhere in the world.'

Confusion Points

• The word “economically” is an adverb that modifies verbs, adjectives or other adverbs.
• For example, “He lives economically” means that he spends little money.
• However, in the given sentence, we need an adjective to modify the noun “giant”.
• The word “economic” is an adjective that means related to the economy or finances.
• For example, “He studies economic development” means that he learns about how the economy grows.
• Therefore, the correct word to use in the sentence is “economic”.

The correct answer is 'Necessory', i.e. it is an incorrectly spelt word.

Key Points

• Necessory: It is an incorrectly spelt word. The correct spelling is 'Necessary'.
• Necessary:  required to be done, achieved, or present; needed; essential.
• Example: The booklet provides all the necessary information about the college.
• Therefore, the correct answer is option 2.

Additional Information 

• Let's explore the meaning of other given word:

The correct answer is 'being uncomfortable'

Key Points

• A fish out of water: It is an idiomatic phrase that means to feel uncomfortable because you feel you do not belong in a place or situation
• Example: I felt like a fish out of water in my new school.
• Therefore, the correct answer is option 1.

The correct answer is 'Apogee'.

Key Points

• Let's explore the meaning of the marked word and the given word.
• Perigee: the point in the orbit of the moon or a satellite at which it is nearest to the earth..
• Example: Astronomers love to examine the moon during perigee because it is so close to the earth that they have great visibility even with a poor telescope.
• Apogee:  the point in the orbit of the moon or a satellite at which it is furthest from the earth.
• Example: The orbit of the artificial satellite has an apogee of 200 miles from the earth.
• From above, we can refer that the correct answer is option 4.

Additional Information

• Let's explore other options:

The correct answer is 'were'.

Key Points

• Two or more nouns when connects with the conjunction 'and' behave as a plural noun or subject and will take plural verb after it according to subject-verb agreement.
• Subject-verb Agreement: It states that if the subject is singular, then the verb is singular and if the subject is plural then the verb will be plural.
• Example:
• He is planning a vacation in Kerala.
• They are planning a vacation in Kerala.
• Thus, 'were' will be used in the blank.
• Therefore, the correct answer is option 4.

Therefore, the correct sentence is: 'The jury members, consisting of seven women and five men, were discharged after failing to reach a verdict.'

The correct answer is 'Epidemiologist'.

Key Points

• Epidemiologist:  One who studies the way diseases spread, and how to control them
• Example: A leading epidemiologist has called on the WHO to clarify its definition of an influenza pandemic — otherwise too many flu viruses could qualify as pandemic strains, causing undue alarm.
• Thus, the correct answer is option 2.

Additional Information

• Let's explore the other options:

The correct answer is 'unveiled'.

Key Points

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

• Thus, from the above-given explanation, we can say that 'unveiled' will be used in the blank.
• Therefore, the correct answer is option 3.

The correct answer is 'Honest.'

Key Points

• Fair and square: It is an idiomatic phrase that means honestly and straightforwardly.
• Example: We won the match fair and square.
• Therefore, the correct answer is option 2.

The correctly spelt word is 'Disguisedly'.

Key Points

• Disguisedly: To modify the manner or appearance of (a person, for example) in order to prevent recognition.
• Example:  I request administrators to keep a close look on this article and supervise the obeying of WP policies, in order to avoid such disguisedly removals of fact tags added according to policies.
• Thus, we can say that the correct answer is option 4.

The correct answer is 'Something very difficult to understand'

Key Points

• Rocket Science: It is an idiomatic phrase that means very complicated or difficult to understand.
• Usually, it is used in a negative way. 
• Example: Look, all you need to do is reformat the hard drive on your computer. It isn't rocket science!
• Therefore, the correct answer is option 4.

The correct answer is 'PQRS'.

Key Points

• Statement P will be the first in sequence as it introduces the subject of the sentence 'Iron'.
• Statement Q will follow Statement P as it states that the function of Iron in the body.
• Statement R will follow statement Q as it states the disease, i.e. 'anaemia' which is caused by the deficiency of haemoglobin.
• Statement S will be the last part.

Therefore, the correct sequence is PQRS.

• Sequence:
• P. Iron is an essential mineral, necessary for the several crucial functions of the body.
• Q. In addition to the production of haemoglobin, iron helps to keep your hair, skin and nail health.
• R. A large number of people across the globe are suffering from the problem of iron deficiency anaemia.
• S. Women belonging to the menstruating age group are more prone to this deficiency as compared to others.

The correct answer is 'PQRS'.

Key Points

• Statement P will be follow statement 1 as it introduces a statement which is in contrast with statement 1 and will follow statement 1.
• Statement Q will follow Statement P as it states that the rumors that are being mentioned in the statement P are not facts.
• Statement R will follow statement Q as it states the facts that is mentioned in the historical records.
• Statement S will be the last part.

Therefore, the correct sequence is PQRS.

• Sequence:
• 1. It’s widely established that Hitler died in his bunker in Berlin.
• P. However, rumours of his escape abound.
• Q. These are just rumours, not fact as confirmed by historical records.
• R. In late April 1945, as Soviet forces stormed Berlin, Hitler made plans for his suicide, including testing SS-supplied cyanide pills on his dog.
• S. Two days earlier, Mussolini had been shot by a firing squad and then publicly hung by his feet in a suburban square in Milan, Italy.
• 6. A similar fate seemed inevitable for Hitler, which might have prompted him to commit suicide.

The correct answer is 'Universal'.

Key Points

• Let's explore the meaning of the marked word and the given word.
• Rampant: flourishing or spreading unchecked; uncontrolled or widespread.
• Example: Corruption soon became rampant.
• Universal:  including or covering all or a whole collectively or distributively without limit or exception.
• Example: There does not appear to be universal agreement on the future of the British monarchy.
• From above, we can refer that the correct answer is option 4.

Additional Information

• Let's explore other options:

The correct answer is 'including two shops were', i.e. the error lies in this part of the sentence.

Key Points

• The error lies in the incorrect usage of the auxiliary verb 'were'.
• 'Were' needs to be replaced with 'was'.
• The subject of the sentence i.e. 'whole block of flats' is a collective noun, and generally, collective nouns are treated as singular, therefore, will take singular verb according to the subject-verb agreement.

Therefore, the correct sentence is: 'The whole block of flats including two shops was destroyed in fire.' 

Additional Information

• Collective noun: A collective noun is a type of noun that identifies groups of people and things as a single unit. For example, Jury, committee, etc.
• Subject-verb agreement: It states that if the subject is singular then the verb will be singular and if the subject is plural then the verb will also be plural.
• Example:
• He is going to the market.
• They are going to the market.

The correct answer is 'because Persia was a huge empire and it wanted to capture Greece'.

Key Points

• Let's refer to the following lines of the passage:
• In 490 BC there was a big war between the Persians and the Greeks. Persia was a huge empire, much bigger than Greece. It wanted to capture Athens. The Greek soldiers waited on top of the hill while the Persian army waited on the plain of Marathon below.
• From above, we can refer that the correct answer is option 3.

The correct answer is '6592'.

Key Points

• Let's refer to the following lines of the passage:
• Despite that, the Greeks won; 6,400 Persians were killed but only 192 Greeks died.
• Thus, from above we can refer that the correct answer is option 3.

• The question doesn't mention which side Greece or Persian, therefore, the correct answer will in total 6592 soldiers died.

The correct answer is 'Greek arrows flew through the air on the Persian soldiers.'

Key Points

• Let's refer to the following lines of the passage:
• The Greeks could not wait and attacked the Persian army. The Greeks ran towards the enemy. Persian arrows flew through the air on the Greek soldiers.
• The Persians ran to their ships and tried to escape.
• From this great event, the first marathon race of the modern Olympic Games was run in 1896. It was won by a Greek runner, Spiridon Louis.
• Thus, from above we can refer that the correct answer is option 1.

The correct answer is 'to tell the Greeks about their victory and arrival of Persians'.

Key Points

• Let's refer to the following lines of the passage:
• Pheidippides now had another job. He ran 40 kilometres to Athens to tell the Greeks that they had won and to tell them that the Persians were coming.
• From above, we can refer that the correct answer is option 3.

The correct answer is 'to get some help from the Spartan against Persians attack'.

Key Points

• Let's refer to the following lines:
• There were 48,000 Persian soldiers and only 10,000 Greek soldiers. The Greeks sent a messenger, Pheidippides, to Sparta to get help.
• Thus, from above we can refer that the correct answer is option 3.

दिए गये शब्दों में 'मासूमियत' शब्द शुद्ध रूप में लिखा हुआ है, अतः शुद्ध वर्तनी 'मासूमियत' है। 

Key Points

• मासूमियत का अर्थ - मासूम होने का भाव।
• अन्य विकल्प इसके शुद्ध रूप में होने के कारण इसके असंगत उत्तर हैं।

Additional Information

खग ही जाने खग की भाषा का अर्थ जो जिसकी संगति में रहता है, वही उसकी बात समझाता है।

अतः 'सब अपने - अपने संपर्क के लोगो का हाल समझते है,' यह विकल्प सही है। 

Key Points

• किसी विशेष स्थान पर प्रसिद्ध हो जाने वाले कथन को 'लोकोक्ति' कहते हैं।
• उदाहरण- 'उस दिन बात-ही-बात में राम ने कहा, हाँ, मैं अकेला ही कुँआ खोद लूँगा।

दिए गये वाक्यों में से 'यदि गौरव खायेगा, तो मोटा हो जाएगा। यह वाक्य हेतुहेतुमद भविष्य काल का उदाहरण है।

Key Points

Additional Information

अन्य विकल्प :

Important Points

दिए गये विकल्पों में से 'वह कॉलेज न, न जा सका क्योंकि बीमार था।' - इस वाक्य में विराम चिन्हो की त्रुटि है।

• वह कॉलेज न जा सका क्योंकि वह बीमार था - इस वाक्य में विराम चिन्हों का शुद्ध स्वरूप में प्रयोग किया हुआ है।
• अन्य सभी विकल्पों में शुद्ध स्वरूप में विराम चिन्हों का प्रयोग किया गया है।

Key Points 

विराम चिन्ह – भाषा के लिखित रूप में विशेष स्थानों पर रुकने का संकेत करने वाले चिन्हों को विराम चिन्ह कहते हैं।