SSC GD Constable Previous Year Paper (Held on: 11th February 2019 Shift 1)

The figure which will complete the given pattern is,

Hence, option 1 is the correct answer.

1. LKJI → L – 1 = K; K – 1 = J; J – 1 = I

2. ZYXW → Z – 1 = Y; Y – 1 = X; X – 1 = W

3. DCBA → D – 1 = C; C – 1 = B; B – 1 = A

4) QRSP → Q + 1 = R; R + 1= S; S – 3 = P

All follow the same pattern, except ‘QRSP’.

Hence, “QRSP” is the odd one.

The pattern followed is,

Similarly,

‘PQ : UV’ is analogous to the given pair.

Hence, “PQ : UV” is the correct answer.

The pattern followed is,

1³ + 1 = 2

2³ + 1 = 9

3³ + 1 = 28

4³ + 1 = 65, not 64

5³ + 1 = 126

6³ + 1 = 217

7³ + 1 = 344

8³ + 1 = 513

‘65’ should be in the place of ‘64’.

Hence, “64” does not belong to the series.

Confusion PointsMeaning of Next to → के बगल में

Arranging them according to the given information,

1) Kumar is standing next to Raju, who is standing on the extreme left it means Kumar is standing next to Raju and Raju is standing on the extreme left.

2. Suman is standing next to Pranav but not next to Deena.

Suman is standing in the middle in the line.

Hence, “Suman” is the correct answer.

Confusion Points

"Who" is used for the second person in a sentence.

For example,

Kumar is standing next to Raju, who is standing on the extreme left → it means Kumar is standing next to Raju and Raju is standing on the extreme left. 

"And" is used for the first person in a sentence.

For example,

Suman is standing next to Pranav but not next to Deena → Suman is standing next to Pranav and Sumna is not next to Deena.

The pattern followed is,

In the first figure there is a circle and in the second figure a three sided figure is inside the circle.

And,

In the third figure there is a triangle, which is three sided and a four sided figure is inside it in the fourth figure.

Similarly,

In the fifth figure there is a four sided figure and in the sixth figure there must be a five sided figure inside it.

The figure which will come next in the pattern is,

Hence, option 4 is the correct answer.

The pattern followed is,

For 11 : 169,

11 + 2 = 13

13² = 169

Similarly,

18 : ….

18 + 2 = 20

20² = 400

So,

18 : 400

‘400’ is related to the third term in the same way as the second term is related to the first term.

Hence, “400” is the correct answer.

Teacher and students both are separate, but both are part of a school.

The correct Venn diagram is,

Hence, option 4 is the correct answer.

Down, Above and Up are prepositions.

Whereas,

Large is not a preposition.

Hence, “large” is the odd one.

Interchanging the given options and using BODMAS rule,

Option 1 → × Interchanged with –

The original equation is,

30 × 3 – 3 = 13

After interchanging,

L.H.S = 30 - 3 × 3 = 30 – 9 = 21 ≠ R.H.S

Option 2 → × Changed to ÷; - changed +

The original equation is,

30 × 3 – 3 = 13

After changing,

L.H.S = 30 ÷ 3 + 3 = 10 + 3 = 13 = R.H.S

Option 3 → × changed to +; - changed to ÷

The original equation is,

30 × 3 – 3 = 13

After changing,

30 + 3 ÷ 3 = 30 + 1 = 31 ≠ R.H.S

Option 4 → × Interchanged with - ; 3 interchanged with 30

The original equation is,

30 × 3 – 3 = 13

After interchanging,

3 – 30 × 30 = 3 – 900 = - 897 ≠ R.H.S

Hence, option 2 is the correct answer.

196, 256 and 121 are the squares of 14, 16 and 11 respectively.

Whereas,

252 is not the square of any number.

Hence, “252” is different from the rest.

The mirror image of the given word when mirror is placed at XY line is,

Hence, option 1 is the correct answer.

The problem figure is hidden in,

Hence, option 2 is the correct answer.

The transparent sheet is folded at the dotted line would appear like,

Hence, option 3 is the correct answer.

The female counterpart to a Bull is called Cow.

Similarly,

The female counterpart of a Lion is Lioness.

‘Lioness’ is related to the third term in the same way as the second term is related to the first term.

Hence, “Lioness” is the correct answer.

Arranging them according to the given information,

B got a north-facing office and is not next to D.

C, whose office is next to F, got a south-facing office, and E got a north-facing office.

‘FCA’ got south-facing offices.

Hence, “FCA” is the correct answer.

The pattern followed is,

Option 1 → Cairo is the capital of Egypt.

Option 2 → Dinar is the currency of Iraq.

Option 3 → Athens is the capital of Greece.

Option 4 → Rome is the capital of Italy.

All follow the same pattern, except ‘Iraq: Dinar’.

Hence, “Iraq: Dinar” is the odd pair.

The pattern followed is,

1 × 2 + 1 = 3

3 × 2 – 1 = 5

5 × 2 + 1 = 11

11 × 2 – 1 = 21

21 × 2 + 1 = 43

43 × 2 – 1 = 85

85 × 2 + 1 = 171

171 × 2 – 1 = 341

Hence, “341” is the correct answer.

The pattern followed is,

The place values are D and G are ‘4’ and ‘7’.

Similarly,

GARDEN = 7 + 1 + 18 + 4 + 5 + 14 = 49

Hence, “49” is the correct answer.

According to the given statements,

Conclusion I: This does not follow, because it is mentioned in the statement that all the scientists working in Japan are talented, but it is not mentioned only Japanese people are talented.

Conclusion II: This follow, because it is mentioned in the second statement that some Chinese scientists are also working in Japan.

Conclusion III: This does not follow, because it is not mentioned in the statement that only Japanese are talented.

Conclusion IV: This follows because some Chinese scientists are working in Japan.

Hence, “only conclusion II and IV” follow.

• If there are two or more sentences that are used to frame a statement, then, the sentences must be interrelated, and mutual contradiction should be there.
• Do not look for truthful notions. The information provided in the statement is the only requirement for a student to answer the question. No assumptions must be made.
• Read the statement carefully and look for keywords that are common between the statement and the conclusions
• If there is more than one conclusion that is applicable to the statement, students must ensure that the conclusions they opt for have some relation with each other.

According to the given information,

1. Robert finished before Monish but behind Gunjan → Gunjan > Robert > Monish

2. Anil finished before Sunil but behind Monish; → Monish > Anil > Sunil

The correct order is,

Gunjan > Robert > Monish > Anil > Sunil

Gunjan won the competition.

Hence, “Gunjan” is the correct answer.

The pattern followed is,

Hence, “D” is the correct answer.

The pattern followed is,

‘18’ must be in the place of ‘14’.

Hence, the first bracketed number (from the left) is correct and the second is incorrect.

The pattern followed is,

Similarly,

Hence, “EVOMTNEM” is the correct answer.

The least possible Venn diagram is,

Conclusion I: No dolls are trees → True (This is definitely true)

Conclusion II: Some flowers are trees → False (This is definitely false)

Hence, “only conclusion I” follows.

The correct option is 1 i.e Taj Mahal.

Key Points

Pietra dura

• Pietra dura, the inlay technique of architecture can be found in Taj Mahal.
• Pietra dura also called as "parchin kari", is a term for the inlay technique of using cut and fitted, highly polished colored stones to create images.
• This technique was first used in 16th century in Rome and later developed in Florence, Italy.
• Taj Mahal is one of the seven wonders of world.
• Tajmahal was built by Mughal emperor Shah Jahan in Agra between 1631-1648.

The correct option is 1 i.e Bharatnatyam.

• The famous classical dance style of Tamil Nadu is Bharatnatyam.
• Bharatnatyam is the oldest indian classical dance form originated in the Tanjore district of Tamil Nadu.
• It is performed with excellent footwork and impressive gestures and it includes Nrita , Nritya and Natya.
• Mohiniyattam is malayalam word means "dance of enchantress" and is a semiclassical dance form from the state of Kerala.
• Kuchipudi is the classical dance originated in Andhra Pradesh.
• Kathak is a famous dance form of Uttar Pradesh.

The correct option is 1 i.e Allow people to choose their representatives.

• The context of Indian democracy allows people to choose their representatives.
• Democracy is a universal value based on the freely expressed will of people to determine their own political, economic, social and cultural system .
• Essential elements of democracy:
• Freedom and dignity of the citizens.
• Respect for human rights.
• Periodic, Free and Fair elections by universal suffrage.
• India in parliamentary democracy has a federal form of government at Central and State legislature to states w.r.t division of power between centres and states.
• "Democracy is the government of the people, by the people, for the people" was said by Abraham Lincoln.

The correct option is 3 i.e. Agriculture.

• Agriculture, Mining, Fishing, Forestry, and Dairy are some examples of the primary sector of the Indian economy.
• These are called so because it forms the base for all other products.
• Manufacturing, Gas, Electricity, Construction, and Water supply are some secondary sectors
• It contributes around 29.6 % of the Indian GDP.
• Goods transported by trucks or trains, banking, insurance, and finance come under the tertiary sector.

The correct option is 2 i.e. Sodium chloride.

• The chemical name of table salt is sodium chloride.
• Its chemical formula is NaCl.
• It is essential to maintain the electrolyte balance of fluids in the human body.
• It is often used as a preservative.
• The body uses salt to absorb and transport nutrients, maintain blood pressure, transmit nerve signals and contract and relax muscles.

The correct answer is chlorophyll.

Explanation:

• Chlorophyll is a pigment present in the chloroplast which gives green colour to plants.
• Chlorophyll is a leaf that is required for trapping light energy.
• The energy trapped by chlorophyll is used to synthesize food from carbon dioxide and water.
• It exists in several forms but chlorophyll a and chlorophyll b are the most common.
• Chlorophyll a is the chief pigment associated with photosynthesis.
• It is found in all photosynthetic organisms such as cyanobacteria.
• Plants cannot synthesize their food without the help of chlorophyll.
• Solar energy is stored in the form of food in the leaves with the help of chlorophyll.

Important Points

• Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.
• During photosynthesis, plants take in carbon dioxide (CO2) and water (H2O) from the air and soil.
• Within the plant cell, the water is oxidized, meaning it loses electrons, while the carbon dioxide is reduced, meaning it gains electrons. This transforms the water into oxygen and the carbon dioxide into glucose.

Additional Information

• Phloem is tissue in plants that conduct food to other parts of the plant.
• Phloem is also called bast.
• The xylem is a vascular tissue which conveys water and dissolved minerals to the rest of the plant.
• It also provides physical support.

The correct option is 2 i.e. ​French Revolution.

• The attack by the third estate on the Bastille State prison took place on 14th July 1789.
• The French revolution started in 1789 and ended in 1799.
• The motive was the upheaval of the French monarchy and the poor economic policies of King Louis XVI.
• The ideals of Liberty, Equality and Fraternity were added from the French Revolution.

The correct answer is Dr APJ Abdul Kalam.

Important Points

• India 2020
• In this book, Dr APJ Abdul Kalam and his close associate YS Rajan examine India's strengths and weaknesses to offer a vision of how India can be among the world's first five economic powers in the year 2020.

Additional Information

• Some of the Famous books & their Author:
• Dr APJ Abdul Kalam: India 2020, Wings of Fire, Ignited Minds, Turning Points, Target 3 billion.
• Pranab Mukherjee: Thoughts and Reflections, The Coalition years, The turbulent years ( 1980-1996), Beyond Survival.
• Prasoon Joshi: Sunshine Lane, Thinking Aloud, Dhoop ke Sikke.
• Ram Nath kovind: The Republic Ethic (July 2017- July 2018).

The correct option is 3 i.e Deoxyribonucleic acid.

Key Points

• The full form of DNA is Deoxyribonucleic acid.
• DNA is the carrier of genetic material. Genes present as series of ATGC sequences and packed as helical structure are coherently called as DNA.
• DNA is also responsible for introducing mutations in the species by random rearrangement of gene sequences or "recombination" during reproduction.
• DNA structure was given in 1953 by Dr James Watson and Dr Francis Crick with the help of Rosalind Franklin via X-ray crystallography of DNA molecule.
• DNA is a genetic carrier in human beings animals, bacteria etc.

The correct answer is Goa.

Key Points

• Goa is the smallest state in India by area.
• Goa was added to the Indian Union in 1987 after Operation Vijay which was conducted in 1961.
• Goa has the highest GDP per capita among all Indian states.
• Sikkim is the smallest state in India as per population.
• Rajasthan is the largest state in India by area.
• Uttar Pradesh is the largest state in India in terms of population.
• The total area covered by the state of Goa is 3,702 square kilometres.

The correct option is 1 i.e. P.V. Sindhu.

• P.V. Sindhu is the first Indian female to win a silver in the Olympics.
• She is the only singles Indian player in the sport to have won an Olympic silver.
• She is currently ranked sixth in the world. (As in 2020)
• Saina Nehwal was the first Indian badminton player to win a medal at the Olympics.
• She was the  first women shuttler to win the Asian Satellite Badminton tournament twice.

The correct i.e fifth.

• On the basis of nominal GDP, India is the world's fifth largest economy in 2021.
• GDP stands for Gross Domestic Product.
• GDP is the total market value of all final goods and services produced during a given time period within a nation's domestic borders.
• GDP is the most referred  indicator for highlighting a country's economy, whether its size or its performance and GDP is used as the benchmark growth indicator.
• The major contribution of GDP in India is of service sector, followed by manufacturing sector and then by primary sector.

The correct option is 4 i.e. ​Aarti Saha.

• Aarti Saha is the first Indian woman to swim across the English Channel.
• She swam across the English Channel in 1959.
• Mihir Sen was the first Indian man to swim across the English Channel.
• The English Channel separates the southern coast of England from the northern coast of France.
• Shikha Tandon and Shivani Kataria are both Indian swimmers.

The correct option is 1 i.e  Good and Service Tax.

Key Points

• GST stands for goods and service tax.
• GST is a tax that needs to be paid on the supply of goods & services. Any person, who is providing or supplying goods and services, is liable to charge GST.
• Key benefits of GST are:
• Easier tax compliance: Instead of having to deal with many different taxation laws and spending a lot of time in legal advise and compliance, businesses will need to pay GST only.
• GST has become a preferred global standard. All OECD countries, except the US, follows this taxation structure.
• It is estimated that GST can boost India's GDP by 1-2 percent.

The correct option is 4 i.e. Odisha-Jharkhand belt.

Key Points:

• There are three major iron ore belts in India and the Odisha-Jharkhand belt is one of them.
• The other two are the Durg-Bastar Chandrapur belt and the Bellary-Chitradurga-Chikmaglur-Tumkur belt.
• High-grade hematite ore is found in the Badampahar mines of the Odisha-Jharkhand belt.
• Very high-grade haematite is found in the famous Bailadila range of the Durg-Bastar-Chandrapur Belt.
• Kudermukh deposits are known to be one of the largest deposits of iron ore in the world and are situated in Bellary-Chikmaglur-Chitradurga Belt.

The correct option is 1 i.e. Philosopher.

Key Points

• Jean Jacques Rousseau was a famous French Philosopher.
• He was one of the famous philosophers of the Naturalism school of thought.
• He was a famous philosopher among members of the Jacobin Club.
• His first major philosophical work, A Discourse on the Sciences and Arts won many awards in a contest at the Academy of Dijon in 1750.
• The famous idea was given by Rousseau, 'man is born free, but he is everywhere in chains' challenged the traditional order of society.
• The principle 'first education should be purely negative' was given by Jean-Jacques Rousseau

The correct option is Dove.

Key Points

• The dove and the olive branch are considered symbols of peace.
• It was originated with the early Christians they portrayed the act of baptism accompanied by a dove holding an olive branch in its beak.
• The scientific name of the dove is Columbidae.
• It belongs to the Class of Aves and Kingdom Animalia.

​

The correct option is 4 i.e. Femur.

• The femur also is known as the thighbone, is the longest and strongest bone of the human skeleton.
• The stapes which is in the middle ear is the smallest and lightest bone of the human skeleton.
• Ligaments are the tough fibrous connective tissue that connects one bone to another.
• Tendons connect muscle to bone.

The correct option is 2 i.e Buddha.

Key Points

• Gautam Buddha was born Siddhartha Gautam in Lumbini, Nepal around 563 B.C.
• He is also known as the 'Light of Asia' and "The Enlightened one".
• Buddha attained Nirvana at Uruvella, Bodh Gaya.
• He gave his first sermon at Sarnath.
• He gave Ashtangika Marg or the Eight Fold Path.

Important Points  

• Mahayana Buddhism:
• After the death of Buddha, a group evolved who believed that compassion for all humanity was an important part of the path, and that teaching is fully available to all.
• Those who followed the newly expanded ideals called themselves Mahayana meaning the big raft.
• In Mahayana Buddhism, all practising Buddhists are apprentice Bodhisattvas.
• In Mahayana countries, images of the Buddha are set up in temples and homes as an object of worship.
• Hinayana Buddhism:
• From about 100 years after the death of the Buddha, there had been a movement towards embracing the style of Buddhism.
• The early monks concentrated on personal enlightenment, seeking spiritual answers for themselves, and teaching others the way of enlightenment.
• But the information was severely limited to the lay community as it was assumed only monks could achieve Buddhahood.
• This section came to be known as Hinayana or also known as Theravada.
• Theravada means the way of elders.

Additional Information

• Milindapanha:
• The Milindapanha, or "Milinda's Questions," is an important early Buddhist text that usually is not included in the Pali Canon.
• Even so, the Milindapanha is cherished because it addresses many of Buddhism's most difficult doctrines with wit and clarity.
• The Milindapanha presents a dialogue between King Menander I (Milinda in Pali) and an enlightened Buddhist monk named Nagasena.
• Menander- I was an Indo-Greek king thought to have ruled from about 160 to 130 BCE.
• He was the king of Bactria, an ancient kingdom that took in what is now Turkmenistan, Afghanistan, Uzbekistan, and Tajikistan, plus a small part of Pakistan.

The correct option is 1 i.e. 1991.

• The Soviet Union was officially known as the Union of Soviet Socialist Republics (USSR).
• It was established in 1922 and lasted till 1991.
• It was a group of of 15 Soviet Socialist Republics.
• The Soviet Union has its origins in the Russian Revolution of 1917.

The correct option is 1 i.e. ​Amarkantak hills.

• The river Narmada rises in Madhya Pradesh from the Amarkantak hills.
• Narmada is a west-flowing river.
• The Narmada also is called the Rewa.
• It discharges in the Gulf of Khambhat.
• Indira Sagar Dam, Omkareshwar, Narmada Canal, Sardar Sarovar are on river Narmada.
• The rivers originating from Amarkantak are the Narmada River, the Son River and Johila River.

The correct option is 4 i.e Nagpur.

Key Points

• The 1920 Indian National Congress session was held in Nagpur.
• Indian National Congress was founded by Allen Octavian Hume with Dada Bhai Naoroji &  Dinshaw Wacha in 1885.
• On 4 September 1920, Congress met at Calcutta in a special session.
• In December 1920, Congress met once again in the Nagpur Session.
• This time the differences between CR Das had melted away.
• He moved the main resolution of Non-cooperation.
• A program of the surrender of titles, the boycott of schools, courts, and councils, the boycott of foreign goods, the promotion of maintenance of Hindu-Muslim unity, and strict non-violence was adopted.

Additional Information

• Indian National Congress was founded in the year 1885.
• It was founded by A.O. Hume, Dadabhai Naoroji, and Dinshaw Edulji Wacha.
• The first session of INC took place in Bombay.
• The Viceroy of India during the formation of INC was Lord Dufferin.
• The only session of INC presided over by Mahatma Gandhi was "The Belgaum session" in 1924.
• It was the 39th session of INC.
• In this session, the basic necessities and concerns of the people of Karnataka were discussed and resolved.

The correct option is 1 i.e. Maharashtra.

Key Points

• Lavani is a folk dance form of Maharashtra.
• It is performed on the beats of Dholki.
• Nakata, Koli, Lezim, Gafa, Dahikala Dasavtar are some more folk dances of Maharashtra.

Additional Information

The correct option is 2 i.e Salivary gland.

• The Endocrine system consists of Endocrine glands that release hormones into the bloodstream.
• The Endocrine hormones help to control mood, growth, and development, the way organs work metabolism, and reproduction.
• The glands of the Endocrine system are:
• Hypothalamus, Pineal gland, Pituitary gland, Thyroid, Parathyroid, Thymus, Adrenal, Pancreas, Ovaries, Testes.
• Salivary glands functions in Digestive system, it produces saliva which keeps the mouth and other parts of the digestive system moist.

The correct option is 1 i.e 2009*.*

• The civil war in Sri Lanka ended in 2009.
• The Sri Lankan civil war was fought in the island country of Sri Lanka from July 1983-may 2009.
• This conflict has lasted nearly three decades and is one of the longest running civil war in Asia.
• The conflict arose between the Sri Lankan government and Sinhalese and Tamil citizens also called as Liberation Tigers of Tamil Eelam(LTTE), more commonly known as Tamil Tigers.
• LTTE wanted an independent state for the island's Tamil minority.

Given:

Sonu is driving a car at a speed of 20 m/s = 20 × 18/5 = 72 km/h;

Distance = 936 km

Formula Used:

Speed = Distance/Time

Calculation:

Using the above formulae, we have

⇒ Time = 936/72 = 13 hr

∴ Sonu will cover 936 km in 13 hours.

Given:

The height of a cone is 16 cm and the radius of its base is 30 cm.

Formula Used:

l² = r² + h²;

The curved surface area of the cone = π × r × l

Where r, h and l are radius, height and slant height respectively

Calculation:

Using the above formulae, we have

⇒ l² = (16² + 30²)

⇒ l = √{256 + 900}

⇒ l = √{1156}

⇒ l = 34 cm

∴ The total cost of painting the curved surface area of the cone from outside

⇒ 22/7 × 34 × 30 × 14 = Rs. 44880

Form the given graph we can say that,

Sugar used in sweet S4 = 18%

Total weight of sweet S4 is 150 kg

∴ Required amount of sugar = 150 × 18/100 = 27 kg

Given:

The average weight of a group of 22 students increases by 1 kg when the weight of the teacher is also included.

Formula Used:

Average = (sum of terms)/(number of terms)

Calculation:

Let the weight of the teacher be ‘y’ kg

Initial average weight of the group of 22 students = 31 kg

Average weight of a group of (22 students + teacher) = 32 kg

According to the question,

⇒ (31 × 22 + y)/23 = 32

⇒ y = 736 – 682 = 54 kg

∴ Weight of the teacher = 54 kg,

Given:

The price of two articles are in the ratio of 3 : 2 respectively

Formula Used:

Selling price = Cost price + profit

Selling price = Cost price – loss

Calculation:

Let the cost price of two articles be 3y and 2y respectively, then

When the price of first article is increased by 40%

Price of first article = 3y + (40/100) × 3y = 4.2y

When the price of second article is decreased by x%

Price of second article = 2y – (x/100) × 2y = 2y – 2xy/100

Now,

⇒ (4.2y)/(2y – 2xy/100) = 7 : 3

⇒ 12.6y = 14y – 14xy/100

⇒ 14xy/100 = 1.4y

⇒ x = 10%

∴ Value of x is 10

Alternate Method Let the cost price of two articles is = 300y & 200y

When the price of first article is increased by 40%

Price of first article = 300y x 1.4 = 420y

When the price of second article is decreased by x%

Price of second article = 200y(1 – (x/100))

As per the question,

$\frac{{420y}}{{200y\left( {1 - \frac{x}{{100}}} \right)}} = \frac{7}{3}$

$\frac{{180}}{{200}} = \left( {1 - \frac{x}{{100}}} \right)$

x = 10

Given:

A bag has Rs. 420 in the denomination of Rs. 1, Rs. 2, and Rs. 5 coins

Ratio of coins of Rs. 1, Rs. 2, and Rs. 5 = 8 ∶ 1 ∶ 5

Calculation:

Let the number of Rs. 1, Rs. 2, and Rs. 5 be 8y, y, 5y.

Also, it has a total of Rs. 420

⇒ 8y + 2(y) + 5 × (5y) = 420

⇒ 8y + 2y + 25y = 420

⇒ 35y = 420

⇒ y = 12

Number of coins of Rs. 5 in the bag = 5y = 60

∴ The number of coins of Rs. 5 in the bag is 60.

The ratio of import and export for Y3 is 1.1

Also exports for year Y3 is Rs. 35000 crore

∴ Imports for year Y3 = 35000 × 1.1 = Rs. 38500 crore

Given:

P is 40% less than Q.

Shortcut Trick

40% = 2/5

So, Q is 2/(5-2) × 100 = 2/3 × 100 = 66.66% more than P.

∴ Q is 66.66% more than P.

Calculation:

Let, Q = 100y

So, P = 100y × (100 - 40)/100 = 100y × 60/100 = 60y

Now,

(Q – P)/P × 100 = 40y/60y × 100  = 66.66%

∴ Q is 66.66% more than P.

Additional Information

If A is 20% less than B,

So,

B is 20/(100 - 20) × 100 = 20/80 × 100 = 25% more than A

Similarly,

If B is 25% more than A,

So,

A is 25/(100 + 25) × 100 = 25/125 × 100 = 20% less than B.

Given:

The revenue of product P3 is Rs. 38100.

Formula used:

Profit% = (revenue – expenditure)/expenditure × 100

Calculation:

The revenue of product P3 is 38100,

Let expenditure be Rs. y.

⇒ Profit% = (revenue – expenditure)/expenditure × 100

⇒ 27 = (38100 – y)/y × 100

⇒ 27y = 3810000 – 100y

⇒ 127y = 3810000

⇒ y = 30000

∴ Expenditure of product P3 is Rs. 30000

Given:

Rajesh goes to his office at the speed of 25 km/hr and returns to his home at the speed of 20 km/hr in total time of 9 hours.

Formula Used:

Speed = Distance/Time

Calculation:

Let the distance between his office and home be ‘y’ km.

y/25 + y/20 = 9

⇒ 9y/100 = 9

⇒ y = 100 km

∴ the distance between his office and home is 100 km.

Given number = 2³ × 3⁵ and 3³ × 5²

HCF is the greatest factor which divides each of the two or more numbers.

23 × 3⁵ = 2³ × 3³ × 3²  since,  (a^m × aⁿ = a^m+n)

∴ Highest Common Factors of 2³ × 3³ × 3² and 3³ × 5² = 3³

Given:

An article is sold for Rs. 4777 after giving discount of 15%

Concept Used: In this type of question, number can be calculated by using the below formulae

Formula Used:

Selling price = Marked price – discount;

Discount% = discount × 100/marked price

Calculation:

Let marked price of article be Rs.. Y

4777 = y – (15/100) × y

⇒ 4777 = 17y/20

⇒ y = Rs. 5620

∴ Marked price of article is Rs. 5620.

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is: [10$(\frac{1}{3})$÷ 5/3 × (10 + 14 ÷ 3 - 1)]

⇒ 31/3 ÷ 5/3 × (10 + 14/3 – 1)

⇒ 31/3 ÷ 5/3 × (41/3)

⇒ 31/3 × 3/5 × 41/3

⇒ $(84\frac{{11}}{{15}})$

Given:

A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches.

Formula Used:

Mode of that number which occurs. maximum number of times

Calculation:

Arranging the given data in ascending order

0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5

We have 2 as maximum times i.e. (4 times)

∴ Required mode is 2

Given:

Manish purchased books at the rate of Rs. 225 per book and sold them at the rate of Rs. 162 per book.

Formula Used:

Loss = cost price – selling price

Calculation:

Loss on selling one book = Rs. (225 – 162) = Rs. 63

∴ loss on selling 7 books = Rs. 63 × 7 = Rs. 441

Given:

u : v = 4 : 7 and v : w = 9 : 7

Concept Used: In this type of question, number can be calculated by using the below formulae

Calculation:

u : v = 4 : 7 and v : w = 9 : 7

To make ratio v equal in both cases

We have to multiply the 1st ratio by 9 and 2nd ratio by 7

u : v = 9 × 4 : 9 × 7 = 36 : 63 ----(i)

v : w = 9 × 7 : 7 × 7 = 63 : 49 ----(ii)

Form (i) and (ii), we can see that the ratio v is equal in both cases

So, Equating the ratios we get,

u ∶ v ∶ w = 36 ∶ 63 ∶ 49

⇒ u ∶ w = 36 ∶ 49

When u = 72,

⇒ w = 49 × 72/36 = 98

∴ Value of w is 98

Given:

A alone can complete a work in 6 days and B alone can complete the same work in 8 days.

Formula Used: If A can do a work in ‘x’ days, B can do the same work in ‘y’ days, then time taken by them to complete the work together = x × y/(x + y) days

Calculation:

Using the above formulae, we have

Time taken by them to complete the work together = 6 × 8/(6 + 8) = 24/7 days

∴ Required time = 24/7 days.

Alternate Method Let the total work be LCM of 6 and 8 i.e. 24

Efficiency of A = 24/6 = 4

Efficiency of B = 24/8 = 3

Time taken to complete the work = Total Work / Total Efficiency

⇒ 48/14 = 24/7 days.

Given:

$5\frac{1}{2} - [3\frac{1}{4} + 6 - 4 \div 2]$

Formula used:

BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction)

Calculations:

$5\frac{1}{2} - [3\frac{1}{4} + 6 - 4 \div 2]$

⇒ $\frac{11}{2} - [\frac{13}{4} + 6 - 2]$

⇒ $\frac{11}{2} - [\frac{13}{4} + 4]$

⇒ $\frac{11}{2} - [\frac{13 + 16}{4}]$

⇒ $\frac{11}{2} - \frac{29}{4}$

⇒ $\frac{22 - 29}{4}$

⇒ $\frac{-7}{4}$

∴ The correct answer is option (4).

Given:

A sum becomes 5 times of itself in 3 years. at compound interest (interest is compounded annually).

Formula Used:

When calculate at compound interest

Amount (A) = p (1 + r/100)ⁿ

Where p, r, and n respectively are principal, rate of interest, and time

Calculation:

Let the sum be p

Rate be r%

According to the question,

5p = p(1 + r/100)³

⇒ 5 = (1 + r/100)³     ...i)

Let the sum becomes 125 times in n years.

125p = p(1 + r/100)ⁿ

⇒ 125 = (1 + r/100)ⁿ

⇒ (5)³ = (1 + r/100)ⁿ     ...ii)

Comparing equation (ii) with (i) we get,

n = 9

∴ In 9 years it will become 125 times.

A certain sum at C.I becomes ‘y’ times in n₁ years. and ‘z’ times in n₂ years. then y^1/n₁ = z^1/n₂

Using the above formulae, we have

⇒ 5^1/3 = 125^1/n₂

⇒ 5^1/3 = 5^3/n₂

⇒ n₂ = 9 years.

∴ The sum becomes 125 times of itself in 9 years.

Calculation:

Using the above formulae, we have

Average of a₁, a₂, a₃, a₄ and a₅ is N

Sum of a₁, a₂, a₃, a₄ and a₅ is 5N

Sum of (a₁ – 100 + a₂ – 100 + a₃ – 100 + a₄ – 100 + a₅ – 100) = 5N – 500

Average = {5N – (100 + 100 + 100 + 100 + 100)}/5

Average = {(N × 5) – (100 × 5)}/5 = N – 100

∴ Required average = N – 100

Given:

Anil, Deepak and Dinesh together can complete a work in 35 days.

Anil and Dinesh together can complete the same work in 60 days

Calculation:

Let Deepak alone can complete the same work in ‘y’ days

Work done by Deepak in 1 day = 1/y units

Anil and Dinesh together can complete the same work in 60 days

Work done by Anil and Dinesh in 1 day = 1/60 units

⇒ 1/60 + 1/y = 1/35

⇒ 35 × (y + 60) = 60y

⇒ 25y = 2100

⇒ y = 84 days

∴ Deepak alone can complete the same work in 84 days.

Given:

Length of the diagonal of a square is 10√2 cm.

Formula Used:

Area of a square = (side)²

Diagonal = √2side

Calculation:

Diagonal = √2side

According to the question,

10√2 = √2 side

⇒ Side = 10 cm

Area = (side)²

⇒ Area = (10)² = 100 cm²

∴ The area of the square is 100 cm²

Concept Used:

In this type of question, number can be calculated by using the below formulae

Formula Used:

If a sum with simple interest rate, amounts to Rs. ‘A’ in y years. and Rs. ‘B’ in z years. then,

P = (A × z – B × y)/(z – y)

Calculation:

Using the above formulae, we have

⇒ P = (10650 × 6 – 11076 × 5)

⇒ P = Rs. 8520

∴ Required principal is Rs. 8520 

A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years. at simple interest

Interest of 1 year = 11076 – 10650 = Rs. 426

Interest of 5 year = 426 × 5 = 2130

∴ Required principal = 10650 – 2130 = Rs. 8520

Given:

Cost price of an article is Rs. 220 and profit is 20%

Formula Used:

Selling price = Cost Price + Profit;

Profit % = Profit × 100/cost price

Calculation:

Using the above formulae, we have

Profit = 20 × 220/100 = Rs. 44

∴ Selling price = Rs. (220 + 44) = Rs. 264

Given:

The length, breadth and height of a room is 21 metres, 12 metres and 16 metres.

Concept Used: In this type of question, the length of the largest rod can be determined by calculating the diagonal of the room.

Formula Used:

Diagonal of a room = (l² + b² + h²)^1/2

l = length, b = breadth, h = height

Calculation:

Using the above formulae, we have

Diagonal of a room = (21² + 12² + 16²)^1/2

⇒ Diagonal of a room = (441 + 144 + 256)^1/2

⇒ Diagonal of a room = (841)^1/2

⇒ Diagonal of a room = 29 metres

∴ length of the largest rod that can be placed in that room = 29 meters.

The correct answer is "Business"

Key Points

• Business means a person's regular occupation, profession, or trade. (किसी व्यक्ति का नियमित व्यवसाय, पेशा या व्यापार।)
• After analyzing all the options given, option 2, 3 and 4 does not carry any meaning. (दिए गए सभी विकल्पों का विश्लेषण करने के बाद, विकल्प 2, 3 और 4 का कोई अर्थ नहीं है।)
• Thus, we are left with only one meaningful option 1 i.e. "Business". (इस प्रकार, हम केवल एक सार्थक विकल्प 1 अर्थात "व्यवसाय" से बचे हैं)
  

​Hence, the correct spelling will be - "Business"

The correct answer is "Loquacious".

Key Points

Meaning of the words: -

• ​Glutton - an excessively greedy eater.
• Taciturn - a person who is reserved or uncommunicative in speech; saying little.
• Loquacious -talkative.
• Gullible - easily persuaded to believe something; credulous.​
• After analyzing all the word meanings, only option 3 relates to the group of words given which makes it the correct answer.
• However, option 1 and 4 do not relate to the given phrase.
• Besides this, option 2, 'taciturn' carries the opposite meaning of the given phrase i.e., talkative which makes it the wrong option to choose.
  

​

Thus, the correct meaning will be - "Loquacious"

The correct answer is Option 4 i.e Raining

Key Points

• Looking at the above sentence we find that: T
• the sentences here are in the present tense.
• The sentence is conveying an ongoing action in the present.
• To convey ongoing actions we should use a present participle or a gerund i.e ing form of the verb.
• The only ing form the given option is Option 4 Raining.
• ​​Here only Option 4 can give proper grammatical and contextual meaning to the sentence and therefore the correct answer.

Thus the final sentence will be: 'Let's go out now. It isn't raining anymore. ​

The correct answer is Option 3 i.e Will you?

Explanation

Looking at the above sentence we find that:

• The sentence uses a question tag in the end.
• The sentence starts with 'He will not'
• Thus the question tag should be corelative to 'He will not' and should have the pronoun he.
• Hence the question tag, in the end, will be 'Will he?'
• Thus it is clear that error lies in Will you? which is an incorrect usage.

Thus the error lies in 'will you?' which should be replaced with 'will he?' Hence the correct answer is Option 3 Will you?

The correct statement will be: 'He will not be able to attend the school function tomorrow, will he?'

The correct answer is compared to last year

Key Points

• 'last year's' should be there in place of 'last year'
• Parallelism should be the goal while doing a comparison. Since we are comparing this year's paper, we should add apostrophe ('s) to represent the paper held last year.
• Thus, the correct sentence will be - "Many students thought that this year’s question paper was very tough as compared to last year's."

The correct answer is option 3 i.e while he was driving. 

Key Points

• The given sentence talks about a past continuous action.
• That is he was attacked by the monster when he was engaging in the continuous action of driving.
• We should use the present participle form of the verb (ing) to denote continuous actions.
• We use the auxiliary verb was to denote past tense.
• Hence the correct answer will be while he was driving.

Thus, the improved sentence will be - "A young taxi driver has claimed that a monster attacked him while he was driving along a lonely road."

The correct answer is option 2 i.e. "To pay excessively"**

Key Points

• To pay through the nose means to pay much more than a fair price.
• ​​For example - "They paid through the nose for one-to-one intensive tuition".
• From the above meaning explained, it is clear that option 2 expresses paying more than required which makes it the correct option to choose from.
  

​

​Thus, the correct meaning is - "To pay excessively".

Hinglish

• To pay through the nose का अर्थ उचित मूल्य से कहीं अधिक भुगतान करना है।
• उदाहरण के लिए - "They paid through the nose for one-to-one intensive tuition".
• ऊपर बताए गए अर्थ से, यह स्पष्ट है कि विकल्प 2 आवश्यकता से अधिक भुगतान को व्यक्त करता है जो इसे चुनने का सही विकल्प बनाता है।
  

​

इस प्रकार, सही अर्थ है -  "To pay excessively".

The correct answer is option 2 i.e. "Bondage"**

Key Points

• In the asked question we need to choose the antonym of the given word.
• Antonym refers to a word opposite in meaning to another (e.g. bad and good ).
  

Let's take a look at the meaning of the underlined word and the given option

• Emancipation means the fact or process of being set free from legal, social, or political restrictions; liberation.
• For example - "The social and political emancipation of women"

​ 

Additional Information

​Let's look a the meanings given in the options-

1. ​Freedom - the power or right to act, speak or think as one wants.
2. Bondage - the state of being a slave.
3. Liberty - the state of being free within society from oppressive restrictions imposed by authority on one's way of life, behaviour, or political views.
4. Riddance - the act of getting rid of a troublesome or unwanted person or thing.
   

​

• Option 1 and 3 are means freedom or liberation which carries the same meaning of the given word which makes this wrong answers.
• Moreover, option 4 'Riddance' carries a different meaning which does not suit the given word.
• Thus, we are left with only one option i.e. option 2 "Bondage" which is opposite the meaning of emancipation.
  

​Hence**,** the correct antonym will be - "Bondage".

The correct answer is option 2 i.e. "To follow popular trends"**

Key Points:- 

• To jump on the bandwagon means to join an activity that has become very popular.
• For example - *"*After a couple of politicians won elections by promising to cut taxes, most of the others jumped on the bandwagon."
• From the above meaning explained, it is clear that option 1 expresses joining popular trends which makes it the correct option to choose from.
  

​

​Hence, the correct meaning is -"To follow popular trends".

• To jump on the bandwagon का मतलब एक ऐसी गतिविधि में शामिल होना है जो बहुत लोकप्रिय हो गई है।
• उदाहरण के लिए - *"*After a couple of politicians won elections by promising to cut taxes, most of the others jumped on the bandwagon."
• ऊपर बताए गए अर्थ से, यह स्पष्ट है कि विकल्प 1 लोकप्रिय प्रवृत्तियों में शामिल होने को व्यक्त करता है जो इसे चुनने का सही विकल्प बनाता है।

अत: इसका सही अर्थ है - "To follow popular trends".**

The correct answer here is Option 3 Guilty

Key Points

• Criminal: a person who has committed a crime.
• Innocent: not guilty of a crime or offence
• Guilty: culpable of or responsible for a specified wrongdoing.
• Honest: free of deceit; truthful and sincere
• Thus, guilty is the most suitable option

The correct answer is option 1 i.e. "the"**

Key Points

• After analyzing the sentence and options, an article is supposed to be filled in the given blank.
• There are three articles: a, an, and the. Articles are used before nouns or noun equivalents and are a type of adjective.
• Here, specific year '1950' is given and 'the' is used for the specific noun; so option 1 is the correct option to choose from.

​Hence, the correct sentence will be - "1**950 is the year in which India became a republic."

The correct answer is *"*Pleasure"

Key Points

• In the asked question we need to choose the antonym of the given word.
• Antonym refers to a word opposite in meaning to another (e.g. bad and good ).
• Let's take a look at the meaning of the underlined word and the given option.
• Affliction means the state of being in pain. (दर्द में होने की अवस्था।)
• For example - "poor people in great affliction"
  
• ​Now, let's look at the meaning of the words given in the options-

1. ​Agony - extreme physical or mental suffering. (अत्यधिक शारीरिक या मानसिक पीड़ा)
2. Discomfort - slight pain; a state of unease, worry, or embarrassment. (हल्का दर्द; बेचैनी, चिंता या शर्मिंदगी की स्थिति।)
3. Anguish - severe mental or physical pain or suffering. (गंभीर मानसिक या शारीरिक दर्द या पीड़ा)
4. Pleasure - a feeling of happy satisfaction and enjoyment. (सुखद संतुष्टि और आनंद की भावना)

• Options 1,2 and 3 carry a similar meaning refers to pain or any type of suffering which is similar to the meaning of the given word; which makes all these options inappropriate to choose from.
• However, only option 4 'Pleasure' carries the opposite meaning of affliction; thus, it is the correct answer.
  

​Hence, the correct antonym will be - "Pleasure"

The correct answer is option 4 i.e. "Appropriate"

Key Points

• In the asked question we need to choose synonym of the given word.
• Synonym refers to a word or phrase that means exactly or nearly the same as another word (e.g. bad and unpleasant).
• Let's take a look at the meaning of the word.
• Suitable means right or appropriate for a particular person, purpose, or situation.
• For example - "These toys are suitable (appropriate) for children under five.
  

Additional Information

Let's look at the meaning of the words given in options.

1. ​Ideal -  conception of what is perfect; most suitable.
2. Awkward - causing difficulty; hard to do or deal with.
3. Friendly - kind and pleasant.
4. Appropriate - suitable or proper in the circumstances.
   

• There can be confusion between ideal and appropriate; 'ideal' is the concept of what is perfect; however, 'appropriate' is suitable in the circumstances, for a person which makes it the correct option to choose from.
  

​Hence, the correct synonym will be - "appropriate"

The correct answer is option 4 i.e. "fell from his trembling hand "

Key Points

The above sentence means the torch dropped from his shaking hand due to anxiety and ran towards the school building.

In the given sentence, the second clause "he ran (a second form of the verb) wildly towards..." is given and which is correct so the first part of the sentence should also be in the past tense.

• Three forms of fall -

1. fall                                     2. fell                                 3 fallen

• According to the above explanation, only option 4 uses 'fell'; thus it is the correct option to choose from.
  

​

Hence, the correct sentence will be - "The torch fell from his trembling hand and he ran wildly towards the school building."

The correct answer is option 2 i.e. "accept".

Key Points:- 

All the words in all the options seem to be similar but carry different meanings.

Let's take a look at the meaning of the words given in options-

1. Except - not including; other than. (शामिल नहीं; के अलावा अन्य)
2. Accept - consent to receive or undertake (something offered). (प्राप्त करने या करने की सहमति (कुछ पेशकश की गई))
3. Agree - have the same opinion about something. (किसी बात के बारे में एक ही राय रखें)
4. Expect - regard (something) as likely to happen. (संबंध (कुछ) होने की संभावना)

In the given sentence, after a blank 'invitation' is given which according to context is questioned to receive.​

• From the above meanings explained, it is clear that option 2 'accept' suits in an appropriate form.
  

​

Hence, the correct sentence will be - "Shall we accept his invitation to dinner."

The correct answer is insisted on me.

Key Points

• In the given sentence, 'on' should not be used. It makes the sentence incorrect. 'To insist' is an action verb, "The TV anchor insisted me..." is the correct form of a sentence.
• 'insist on' -
• to say or show that one believes that something is necessary or very important. ex. My source insisted on anonymity.-
• to continue doing (something that other people think is annoying or unimportant) ex. The people sitting next to us insisted on talking during the entire movie
• 'on' is a preposition, A preposition is used to connect a noun or pronoun to a verb or adjective.
• ‘on’ is used to show the location or position above or outside, to show the exact date, to locate part of the body, or to indicate the state of anything.
• Thus, from the above explanation, option 4 contains the grammatical error which makes it the correct option to choose from.

​

​Correct sentence: "The TV anchor insisted me to participate in the debate."

The correct answer is option 2 i.e. "Modest"

Key Points:- 

• ​Let's look at the meaning of the given word and the marked option
• Magnificent: Elaborate and extremely beautiful. (विस्तृत और बेहद खूबसूरत)
• Modest: Relatively moderate limited or small. (पेक्षाकृत मध्यम सीमित या छोटा)
• Example -"A modest house"
• Let's look at the meanings of the other given options.
• ​Expensive: Costing a lot of money. (बहुत सारा पैसा खर्च करना)
• Grand: Magnificent and imposing in appearance, size, or style. (दिखने, आकार या शैली में शानदार और भव्य)
• Huge: Extremely large; enormous. (बहुत बड़ा; विशाल)
• In the asked question we need to choose the antonym of the given word. (पूछे गए प्रश्न में हमें दिए गए शब्द का विलोम शब्द चुनना है)
• An antonym refers to a word or phrase that means exactly or nearly the opposite of another word. (एक एंटोनिम एक शब्द या वाक्यांश को संदर्भित करता है जिसका अर्थ बिल्कुल या लगभग दूसरे शब्द के विपरीत होता है)
• From the above word meanings explained, it is clear that option 2 expresses an opposite meaning to magnificent i.e.modest which makes it the correct answer to choose from. (ऊपर बताए गए शब्दों के अर्थों से, यह स्पष्ट है कि विकल्प 2 शानदार (magnificent) यानी मामूली (modest) के विपरीत अर्थ व्यक्त करता है जो इसे चुनने के लिए सही उत्तर बनाता है)

​Hence, the correct antonym will be "Modest*"*

The correct answer is Option 2 i.e No improvement

Let's look at the following points-

• In the given sentence, heritage structures(plural countable noun) is mentioned which needs maintenance.
• Let's take a look at the meaning of the phrase in the sentence. 
• 'A lot of' can be used with plural countable nouns or uncountable nouns, affirmatives, negatives, and questions.
  

Example -That's a lot of money.

• Hence we find that the sentence has no error and the correct phrase is used here which gives proper grammar to the sentence.
  

Therefore the correct answer is Option 2 No improvement.

The correct answer is "Receipt"

Key Points

Receipt means the action of receiving something or the fact of its being received. (कुछ प्राप्त करने की क्रिया या उसके प्राप्त होने का तथ्य)

• After analyzing all the options given, option 1, 2 and 4 does not carry any meaning.
• Thus, we are left with only one meaningful option 3 i.e. "Receipt"
  

​Hence, the correct spelling will be - "Receipt".

The correct answer is option 3 i.e. "Extrovert"

Explanation