SSC CGL Previous Paper (Held On: 4 March 2020 Shift 1) (Previous Year Paper)

The pattern followed here is,

Option 1: 

Option 2:

Option 3:

Option 4:

Hence, ‘FGH’ is odd one out.

The pattern followed here is,

Hence, ‘PKW’ is the correct answer.

Interchanging the two signs and two numbers and using BODMAS rule,

Option 1: + and ×

225 × 5 + 3 ÷ 5 - 7 = 133

1125 + 0.6 - 7 = 133

1118.6 ≠ 133

Option 2: + and ÷

225 ÷ 5 × 3 + 5 - 7 = 133

45 × 3 + 5 - 7 = 133

135 + 5 - 7 = 133

= 133

Option 3: - and ×

225 + 5 - 3 ÷ 5 × 7 = 133

230 - 0.6 × 7 = 133

230 - 4.2 = 133

225.8 ≠ 133

Option 4: - and ÷

225 + 5 × 3 - 5 ÷ 7 = 133

225 + 15 - 0.71 = 133

240 - 0.71 = 133

239.29 ≠ 133

Hence, ‘+ and ÷’ is the correct answer.

The pattern followed here is,

(First  number × 4) + (First number / 4) = Second number.

52 × 4 = 208

$\frac{{52}}{4}$ = 13

208 + 13 = 221

Similarly,

64 × 4 = 256

$\frac{{64}}{4}$ = 16

256 + 16 = 272

Similarly,

20 × 4 = 80

$\frac{{20}}{4}$ = 5

80 + 5 = 85

Hence, ’20 : 85’ is the correct answer.

Alternate Method

The logic is (​1st number/4 × 17) = Second number.

Hence the answer will be $\frac{{20}}{4}$ × 17 = 5 × 17 = 85.

4, 2, 5, 1, 3

As per the dictionary order,

Geminal (4) → Geminate (2) → Gemini (5) → Gemlike (1) → Gemmier (3)

Hence, ‘4, 2, 5, 1, 3’ is the correct answer.

Accoridng to the given information,

Hence, Bimla is daughter-in-law of Eshwar.

Hence, figure ‘3’ is the correct answer.

Hives are the structures inside which bee colonies make their home.

Similarly,

Burrow is a hole where hare lives.

‘Burrow : Hare’ share the same relationship as that shared by the given pair of words.

Hence, ‘Burrow : Hare’ is the correct answer.

As the sound of Jackal is ‘howl’,

Similarly,

‘Patter’ is the sound of Rain.

Hence, ‘Patter’ is the correct answer.

Option 1: WSWWSSWWWSWSWWWWSSSS

No pattern is followed here.

Option 2: WSWWSWWWWSSSWWWWSSSS

No pattern is followed here.

Option 3: WSWWSSWWWSSSWWWWSSSS

The Pattern followed here is,  WS  WWSS  WWWSSS  WWWWSSSSxx

Option 4: WSWWSSWWWSSSWWWWWSSS

No pattern is followed here

Hence, ‘W, S, S, S’ is the correct answer.

The pattern followed here is,

So, 22 + 2 = 24

Hence, ‘24’ is the correct answer.

The number of triangles in the figure are,

The total number of triangles are 22 (AHI, ABI, BIC, CDI, HID, HJD, DEJ, EFJ, GFJ, HGJ, EGJ, ACI, ADG, CEH, HGE, HED, GDH, GED, ADH, ADC, AHC, HDC)

Hence, ‘22’ is the correct answer.

The pattern followed here is,

Option 1:

Option 2:

Option 3:

Option 4:

The letter gap of 5 and 25 is observed only in option 2.

Hence, ‘(313, 318, 343)’ is the correct answer.

Hence, figure ‘3’ is the correct answer.

Virtue, Probity and Righteousness have same meaning which means the quality of having strong moral principles.

Whereas Conduct means the manner in which a person behaves in a particular situation.

Hence, ‘Conduct’ is the correct answer.

Let married couples be ‘100x’

Couples having only child = 20x

Remaining couples = 100x - 20x = 80x

Couples having two children from remaining couples = 80x × $\frac{{45}}{{100}}$ = 36x

Couples having three or more children from remaining = 100 – 45 = 55%

Then,  80x × $\frac{{55}}{{100}}$ = 44%

So, the percentage of couples with three or more children = 44%

Hence, ‘44%’ is the correct answer.

There are four symbols at the four corners of a square and the pattern followed here is,

In the second image, the triangle symbol shifts diagonally opposite, and the circle symbol shifts diagonally opposite, and the pentagon symbol shifted to the left side whereas in the place of the circle symbol a new symbol appears.

The same pattern followed in the remaining images.

So, the image which will next in the given pattern is

Hence, figure ‘1’ is the correct answer.

According to the given figure,

‘a’ is facing opposite ‘c’

‘b’ is facing opposite ‘e’

And,

‘d’ is facing opposite ‘f’

The figure which cannot be formed by folding the given sheet is ‘3’.

Hence, figure ‘3’ is the correct answer.

IN a certain coding language,

Similarly,

Hence, ‘HTRUDSYA’ is the correct answer.

Pattern followed here is

Taking column wise

(1^st term)² + (3^rd term) = (2^nd term)

For column I:

7²  + 4 = 53

For column II:

11²  + 6 = 127

For column III:

14²  + 3 = 199

Hence, ‘199’ is the correct answer.

When the paper is unfolded it will appear like this:

The unfolded figure will be similar to the figure shown below:

Hence, ‘4’ is the correct answer.

The least possible Venn diagram is as follows,

Conclusion I: Some engines are rockets → True (This is definitely true)

Conclusion II: Some engines are cars → True (This is definitely true)

Hence, ‘Both conclusions I and II follows’.

The logic follows here is :-

By using bodmas rule :

Option 1:

12 × 7 = 6 ÷ 13 – 6

84 = 0.46 – 6

84 ≠ -5.54

Option 2:

(12 ÷ 7 – 6) = 13 × 6

1.71 – 6 = 78

-4.29 ≠ 78

Option 3:

(12 – 7 ÷ 6) × 13 = 6

(12 – 1.16) × 13 = 6

140.92 ≠ 6

Option 4:

(12 × 7 – 6) ÷ 13 = 6

78 ÷ 13 = 6

6 = 6

Hence, ‘×, -, ÷, =’ is the correct answer.

Triangle represents clowns,

Circle represents acrobats,

Rectangle represents male,

Square represents ringmasters

Hence, there are 17 male clowns who are ringmasters, but NOT acrobats.

Hence, ‘17’ is the correct answer.

The pattern followed here is,

Vowels are A, E, I, O, and U

A → 1, E → 2, I → 3, O → 4, and U → 5

Consonants are numbered according to their reverse position value.

Similarly,

Vowels are A, E, I, O, and U

A → 1, E → 2, I → 3, O → 4, and U → 5

Consonants are numbered according to their reverse position value.

Hence, ‘3-13-8-2-24-7’ is the correct answer.

• The Sudarshana lake in Gujarat was built during the rule of the Mauryas.
• Sudarshana Lake was an artificial reservoir.
• We know about it from a rock inscription second century CE) in Sanskrit, composed to record the achievements of the Shaka ruler Rudradaman.
• The inscription mentions that the lake, with embankments and water channels, was built by a local governor during the rule of the Mauryas.
• However, a terrible storm broke the embankments and water gushed out of the lake.
• Rudradaman, who was then ruling in the area, claimed to have got the lake repaired using his own resources, without imposing any tax on his subjects.
• Three hundred years after Rudradaman’s inscription, the edict of Skand Gupta also speaks about the reparations conducted by the Gupta king in 455-456 AD.

• In May 2019, the International Monetary Fund agreed to bail out Pakistan with a fund of $6 billion.
• On July 3, 2019, the International Monetary Fund approved a $6 billion bailout package to help “return sustainable growth” to Pakistan’s economy.
• The deal would be the 13th such bailout since the late 1980s.
• Inflation climbing to over 8 per cent, the rupee losing a third of its value over the past year, and foreign exchange reserves barely enough to cover two months of exports, forced Pakistan to turn to the IMF.
• Pakistan already owes the institution $5.8 billion from past bailouts and has only once completed its past programs.
• Pakistan’s has a soaring current account deficit and it is an existential crisis.
• The country is also deep in debt to China largely due to the China-Pakistan Economic Corridor (CPEC).

• Xerophthalmia is caused due to the deficiency of vitamin A.
• Xerophthalmia is a condition of early vitamin A deficiency in which cornea keratinises, become opaque and forms dry, scaly layers of cells.
• The affected cornea is susceptible to infection.
• Xerophthalmia can progress to irreversible blindness if left untreated.
• Even today, Xerophthalmia is a major problem in developing countries and is a leading cause of preventable blindness.
• In the eye, vitamin A is metabolised to form rhodopsin (retinal visual pigment).
• The action of light on rhodopsin is the initial step in the visual process.

Key Points

• Private ownership of the means of production is a feature of a capitalist economy.
• Capitalism is an economic system in which private individuals or businesses own capital goods.
• The production of goods and services is based on supply and demand in the general market and hence it is known as a market economy rather than through central planning which is known as a planned economy or command economy.
• The essential feature of capitalism is the motive to make a profit.
• In the other, socialism, the state owns the means of production, and state-owned enterprises seek to maximize social good rather than profits.

• In the 4th century BCE, the capital of Magadha was shifted to Pataliputra..
• Impressed by its strategic location, successors of Ajatshatru, Udayabhadra or Udayin shifted the capital of Magadha kingdom from Rajgriha to Pataliputra.
• It continued to be the capital until about 600 CE.
• Patliputra is the ancient name of Patna city in the state of Bihar, which remained as the capital of Magadha under multiple dynasties for about thousand years.
• Chandragupta Maurya, the founder of the Mauryan dynasty, brought all small kingdoms of India together under one rule for the first time.

• Limba Ram is an Indian Olympic archer and Padma Shri winner
• Limba Ram is a three-time Olympian representing India in 1988, 1992, 1996 Olympics.
• He represented India at the Seoul Olympics in 1988 after winning the Senior National Championships that year, which started his successful career.
• He is also the former coach for the National Archery Team of India.
• His feats helped India finish fourth at the Beijing Asian Games in 1990, and equaled the world record of Takayoshi Matsushita at the Beijing Asian Archery Championships in 1992 in the 30 meters event.
• He missed the bronze medal by just one point at the Barcelona Olympics in 1992.
• He was awarded the Arjuna Award for his feats in 1991.
• He won the Padma Shri in 2012.

Extra facts:

Padma Shri award is the fourth highest civilian award in India which is given for exceptional contribution in various fields like arts, literature, industry, science, sports, medicine, social service, and public affairs.

• Bajrang Punia:
• Indian wrestler Bajrang Punia was conferred the Indian Personality of the Year Award (Sports) at the Indo Arab Leaders Summit & Awards 2019 in Dubai.
• In 2019, Bajrang Punia awarded Padam Shri Award.
• Bajrang won the gold medal in the 65-kg freestyle event at the Asian Games held in Jakarta (in 2018)
• He also won the gold medal in the 65-kg weight category at the Gold Coast Commonwealth Games.
• He is also a two-time medallist at the world championships.
• Balbir Singh Dosanjh:
• Balbir Singh Dosanjh was the first recipient of Padma Shri for Hockey(sports) in 1957.
• In 2015, He was also awarded Major Dhyan Chand Lifetime Achievement Award of Hockey India.
• Kidambi Srikanth:
• KidambiSrikanth is a famous badminton player in India.
• In 2018, he was awarded the Padma Shri Award.
• In April 2018, Srikanth became the top-ranked player in the world in badminton.

• The Vedic Civilisation in India flourished along the river Saraswati.
• Book 6 of the Rigveda includes a hymn called the ‘Nadistuti Sukta’, which sings praises of the Saraswati as being “perfect mother, unsurpassed river, supreme goddess”.
• The Rig Veda mentions a mighty, snow-fed river Saraswati on whose banks the literature was supposed to be derived.
• Considered sacred by devout Hindus, it is described as “surpassing in majesty and might of all other rivers, pure in her course from the mountains to the ocean”.
• The efforts to trace the Saraswati had initially been put on fast track in 2003.
• A Saraswati Heritage Project was launched by the Union Ministry of Tourism and Culture but it was shelved in 2005.

• The major component of modern Olympic gold medals is Silver.
• For the Olympics, gold medals are awarded to the first place, silver to the second, and bronze to the third.
• But these medals are actually not made out of the mineral they are named after.
• The gold and silver medals are both made of silver.
• The gold medals are then coated with gold.
• Composition of the Medals for Tokyo 2020 Olympics:-
• Gold Medal: It consists of more than 6 grams of gold plating on pure silver.
• Silver: It is made of pure silver.
• Bronze: It comprises of red brass (95% copper and 5% zinc)

• Rajgir or Rajgriha was the capital of Magadha before the 4th century BCE.
• In Sanskrit ‘Rajagriha’ and in Pali ‘Rajagaha’ was the capital of Magadha kingdom around 600 BCE.
• This city was surrounded by rings of mountains and was, therefore, difficult to lay siege to.
• In Ramayana it is mentioned that this capital was founded by King Vasu and thus was known as Vasumati.
• Rajagriha was capital of Magadh king Bimbisara around Buddha’s time and was famous for its wealth and grandeur.
• When the capital of the Magadha kingdom was shifted to Pataliputra the present Patna, the political importance of Rajgir declined.
• It is said that Mahavira spent 14 rainy seasons in Rajgir and Nalanda around 527 – 497 BCE.
• He gave his first sermon on the Vipula hill.

• Asia's largest wholesale spice market is located in Delhi.
• Delhi’s Khari Baoli is Asia’s largest spice market.
• A wide variety of both local and exotic spices can be found trading here every day.
• It is located on the western end of Chandni Chowk, close to the Red Fort and adjacent to the Jama Masjid.
• It came into being during the 17th century, dating back to the Mughal era.
• The name Khari Baoli, where Khari stands for salty and Baoli for step-well was named after saltwater step-well.
• The stepwell was inaugurated during the reign of Islam Shah, the son of Sher Shah Suri.

• Dangi is NOT a folk dance belonging to the union territory of Jammu and Kashmir. Dangi dance is a very popular folk dance of Himachal Pradesh.
• Kud Dance
• It is performed to honor the gods ‘Lok Devtas’ as a thanks giving ritual and is mostly done in nights.
• Some special Musical instruments are used in dance like Chhaina, Drums, Narsingha and flute.
• The dance is performed by the farmers to oblige god the local deity ‘Gramdevta’ for protecting their cattle’s, maize crops, children’s and family from all sorts of natural calamities.
• Dumhal Dance
• Dancers performing this dance are dressed up wearing vibrant colored robes and conical caps which are generally studded with beads.
• Only males of Wattal can perform this dance and that too during special occasion.
• During the dance, a banner is dig into the ground and dance generally takes off with group of men dancing around this banner.
• Rouf Dance
• This dance form is practiced on festive occasions like Eid and Ramzan days are going.
• It is performed by group of women standing face to face to each other.
• The most notable feature of this dance form is the footwork of the dancers.
• Some other folk dances of Jammu and Kashmir are:-
• Bhand Pather, Bachha Nagma, Hafiza Dance, Bhand Jashan and Wuegi-Nachun.

• Article 17 of the Constitution of India deals with the abolition of untouchability.
• Article 17 abolishes ‘untouchability’ and forbids its practice in any form.
• The enforcement of any disability arising out of untouchability shall be an offence punishable by law.
• It falls under the Right to equality enshrined under the constitution in Articles 14–18.
• It is noteworthy that the term ‘Untouchability’ is not defined anywhere in the constitution.
• But in broader sense untouchability refers to the social disabilities imposed on certain classes of persons by reason of their birth in certain castes.
• In 1976, the Untouchability (Offences) Act, 1955 was amended and renamed as the Protection of Civil Rights Act, 1955.
• The amendment and renaming enlarged the scope and made the penal provisions more stringent.

• David Malpass was the President of the World Bank Group as of January, 2020.
• David R. Malpass, was selected as 13th President of the World Bank Group by its Board of Executive Directors on April 5, 2019.
• His five-year term began on April 9.
• Mr. Malpass previously served as Under Secretary of the Treasury for International Affairs for the United States.
• About World Bank:-
• The World Bank is like a cooperative, made up of 189 member countries.
• These member countries, or shareholders, are represented by a Board of Governors, who are the ultimate policymakers at the World Bank.
• Generally, the governors are member countries' ministers of finance or ministers of development.
• | Established | 1944 | | --- | --- | | Headquarter | Washington D.C., USA | | Member Countries | 189 |

• According to the United Nations' World Economic Situation and Prospects Report, 2019, the Indian economy is expected to expand by 7.1% in 2020.
• The World Economic Situation and Prospects (WESP) Report is produced annually by the UN Department of Economic and Social Affairs (DESA), the UN Conference on Trade and Development (UNCTAD) and the five UN regional commissions.
• It is the United Nations’ flagship publication on expected trends in the global economy.
• This publication is the definitive report of the United Nations on the state of the world economy.
• It provides an overview of recent global economic performance and short-term prospects for the world economy and of some key global economic policy and development issues.

• Planetary scientists prefer to call the thin gaseous envelope around the Moon as the ‘Lunar exosphere’.
• Here, molecules in the air are so few and far between, they rarely come into contact with one another.
• Still, the gases found around the Moon do have important effects on conditions near the surface.
• While the Earth’s atmosphere near the mean sea level contains ~10¹⁹ atoms per cubic centimetre of volume, the lunar exosphere contains ~ 10⁴ to 10⁶ atoms per cubic centimetre.
• Argon-40 (40 Ar), which is one of the isotopes of the noble gas Argon, is an important constituent of the lunar exosphere.
• It originates from the radioactive disintegration of Potassium-40 (40 K), which has a half-life of ~1.2 X 10⁹ years.

Key Points

• In biological terms, Commensalism is a relationship between two organisms in which one organism benefits and the other is unaffected.
• Inter-specific interactions arise from the interaction of populations of two different species.
• They could be beneficial, detrimental or neutral (neither harm nor benefit) to one of the species or both.
• Types of Interactions:-
• Mutualism - Both the species benefit in Mutualism.
• Competition - Both the species lose in competition in their interactions with each other.
• Parasitism - Only one species benefits (parasite) and the interaction is detrimental to the other species (host).
• Predation - Only one species benefits (predator) and the interaction is detrimental to the other species (prey).
• Commensalism. - One species is benefited and the other is neither benefited nor harmed.
• Amensalism  -  One species is harmed whereas the other is unaffected.

• Article 15 of the Indian Constitution prohibits discrimination on the grounds of religion, race, caste, sex and place of birth.
• Article 15 is present in the Indian Constitution under Part III which deals with the fundamental rights of the people of India.
• The concept and purpose of Article 15 is to prevent the government from making discrimination on the basis of religion, race, caste, sex, or birth place.
• One of the clauses clearly states that no citizen shall be subject to “any disability, liability, restriction or condition” on the basis of religion, race, caste, sex, and place of birth.
• Their access to public properties like shops, restaurants and entertainment hubs should not be restricted on grounds of religion or caste.
• The Article also guarantees special provisions for women, children and socially disadvantaged classes.

• Thermal expansion makes the Eiffel Tower taller during summers.
• Thermal expansion is when material changes dimensions while it undergoes temperature changes.
• Like most materials, the tower, made of puddling Iron, undergoes thermal expansion.
• The tower expands and contracts 15 cm from the hottest to the coldest day.
• The plan to build a tower 300 metres high was conceived as part of preparations for the World's Fair of 1889 by Contractor Gustave Eiffel.
• The tower is nearly 320 meters tall and weigh 10,100 tons.
• The tower is composed of puddling iron, not steel as many of today's buildings.
• Total 7,000 metric tons of puddling iron, which were the precursor to construction steel, was used.

• The Harshacharita is a biography of Harshavardhana, the ruler of Kannauj, composed in Sanskrit by his court poet, Banabhatta.
• Harsha is known mainly through the works of Banabhatta named Harsacharita (“Deeds of Harsha”).
• The work depicts the court and times of the Buddhist emperor Harsha of northern India.
• Bana’s biography of Harsha provides valuable information about the period, though with some exaggeration in the emperor’s favour.
• Written in the ornate kavya style, involving extremely lengthy constructions, elaborate descriptions, and poetic devices, the work has great vitality and a wealth of keenly observed detail.
• Himself a poet, Harsha composed three Sanskrit works: Nagananda, Ratnavali, and Priyadarsika.

The correct answer is Bijapur.

Key Points

• The Gol Gumbad (Gumbaz) of Bijapur is the mausoleum of Muhammad Adil Shah.
• Gol Gumbaz is the most famous monument in Vijayapura or Bijapur.
• This mausoleum of Muhammed Adil Shah was constructed in 1656 by architect Yaqut of Dabul.
• Its most arresting features are the seven-storied octagonal spires at the four corners and the heavy bracketed cornice below the parapet.
• It is the second-largest dome ever built, next in size only to St Peter’s Basilica in Rome.
• A particular attraction in this monument is the central chamber, where every sound is echoed seven times.
• Another attraction at the Gol Gumbaz is the Whispering Gallery, where even minute sounds can be heard clearly 37 meters away.

• In April 2019, scientists in Israel produced the world’s first 3D printed heart using human tissue.
• The heart is printed by the team of researchers at Tel Aviv University in about three hours.
• The size of the heart is too small and is about 2.5 centimetres or the size of a rabbit’s heart.
• But it’s the first to be printed with all blood vessels, ventricles and chambers.
• The heart uses a bio-ink made from the patient’s own biological materials.
• The little organ is considered a big breakthrough in the ongoing effort to find new treatments for heart disease.
• Previously, scientists were able to 3D-print heart structures that lacked cells or blood vessels.
• But the new 3D-printed heart contains cells, blood vessels, chambers and other structures a heart needs to function normally.

• King Harshavardhana ascended the throne of Thaneshwar and Kannauj on the death of his brother, Rajyavardhana.
• Harsha ascended the throne with the commencement of the 7th century, around 606 AD.
• By 612 AD Harshavardhana consolidated his kingdom in northern India.
• Harshavardhana is well known for his religious toleration, able administration and diplomatic relations.
• He maintained diplomatic relations with China and sent envoys, who exchanged ideas of the Chinese rulers and developed their knowledge about each other.
• The Chinese traveller, Hiuen Tsang, visited India during his reign.
• Tsang gave a vivid description of the social, economic and religious conditions, under the rule of Harsha and spoke highly of the king.
• Harsha's death, once again, left India without any central paramount power.

The correct answer is option 3 i.e., Dharamsala

• The 14th Dalai Lama resides in Dharamsala.
• Tenzin Gyatso is the 14th Dalai Lama.
• He is the spiritual leader of Tibet.
• He was born on 6 July 1935, to a farming family, in a small village of Taktser, Amdo, north-eastern Tibet.
• In 1959, Chinese troops suppressed the Tibetan national uprising in Lhasa.
• Following that, the Dalai Lama was forced to escape to India into exile.
• Since then he has been living in Dharamsala, India.
• The Dalai Lamas are believed to be the manifestations of Avalokiteshvara or Chenrezig, by Tibetan Buddhists.
• Chenrezig or Avalokiteshvara is the Bodhisattva of Compassion and the patron saint of Tibet.
• Bodhisattvas are enlightened beings, who are on the path to becoming a Buddha, and have vowed to be reborn in the world to help all living beings

• Lt. General Manoj Mukund Naravane took charge as the Chief of Army Staff on 31 December 2019.
• General Manoj Mukund Naravane took charge as the 28th Chief of Army Staff.
• He replaced General Bipin Rawat, who retired after serving three years as the Army Chief.
• Before taking over as Chief of Army Staff, General Mukund Naravane was appointed as Vice-Chief of Army Staff on September 1.
• Prior to this, he was heading the Eastern Command of the Army which takes care of India's nearly 4,000-km border with China.
• General Mukund Naravane was commissioned into the 7th battalion, the Sikh Light Infantry Regiment in June 1980.
• He is also a recipient of the 'Vishisht Seva Medal (VSM)' for his services as the Inspector General Assam Rifles (North) in Nagaland and the 'Ati Vishisht Seva Medal (AVSM)' for commanding of a prestigious strike corps.

• The Biraja Temple, the Rajarani Temple and the Samaleswari Temple are all located in Odisha.
• Biraja Temple - 
• ​Biraja Temple or Viraja Kshetra is one of the ancient Hindu temples located in the Jajpur district of Odisha, India.
• This present temple was built in the 13th century.
• It is situated in the Jajpur township which is nearly 125 KM north from Bhubaneswar.
• The main idol is Devi Durga who is worshipped by the name Viraja.
• Rajarani Temple - 
• ​The temple was built during the later stages of the Somavamsi rule in the 11th century AD.
• Today the temple today is devoid of any presiding deity, though there are signs in the architecture of the temple to corroborate that it was a temple dedicated to Lord Shiva.
• The temple is known as Rajarani Temple, because of the red and yellow sandstone called Rajarania that was used in its construction.
• Samaleswari Temple - 
• The  Samaleswari Temple is situated at Sambalpur, Odisha.
• The abode of Goddess Samaleswari -the presiding deity of Sambalpur is one of the most revered temples of the state.
• Goddess Samaleswari was appropriated as the deity of Sambalpur by the Chouhan King Balaram Dev, who became the King of the region in 1542 AD.
• Sambalpur region is popularly known as Hirakhanda from ancient times.
• According to historians, diamonds were exported to Rome from Sambalpur.

sec θ – tan θ = x/y     ...1)

As we know,

sec² θ – tan² θ = 1

⇒ (sec θ + tan θ) (sec θ - tan θ) = 1

⇒ (sec θ + tan θ) x/y = 1

⇒ (sec θ + tan θ) = y/x     ...2)

Add equation (1) and equation (2)

2 sec θ = x/y + y/x

⇒ sec θ = (x² + y²)/2xy

⇒ cos θ = 2xy/(x² + y²) [∵ sec θ = 1/cosθ]

As we know,

sin² θ + cos² θ = 1

⇒ sin² θ + [2xy/(x² + y²)]² = 1

⇒ sin² θ = 1 – 4x²y²/(x² + y²)²

⇒ sin² θ = [(x² + y²)² – 4x²y²]/(x² + y²)²

⇒ sin² θ = [x⁴ + y⁴ + 2x²y² – 4x²y²]/(x² + y²)²

⇒ sin² θ = [x⁴ + y⁴ – 2x²y²]/(x² + y²)²

⇒ sin² θ = [(y² - x²)/(x² + y²)]² [∵ x < y]

∴ sin θ = (y² - x²)/(x² + y²)

From the following figure

∠ACD = ∠ABD     (∵ Angle made by a chord in same segment are equal)

∠BDC = ∠BAC     (∵ Angle made by a chord in same segment are equal)

So, ΔAOB ∼ ΔDOC by AA.

AB/DC = OB/OC

⇒ OB/OC = 16.5/11

Given, OB = OD

OD/OC = 16.5/11     ...1)

As we know,

ΔADO∼ΔBCO

OD/OC = AD/BC

⇒ OD/OC = 19.8/x     ...2)

From equation (1) and equation (2)

19.8/x = 16.5/11

⇒ x = (11 × 19.8)/16.5

⇒ x = 13.2 cm

In right angled ∆ABC, 90° at A

BC² = AB² + AC² = 7² + 24² = 49 + 576 = 625

⇒ BC = √625 = 25

If, M is the midpoint of BC, then

AM = MC = BM = 25/2

As we know,

AD × BC = AB × AC

⇒ AD × 25 = 7 × 24

⇒ AD = (7 × 24)/25

∴ Ratio of AD : AM = (7 × 24)/25 : 25/2 = 336 : 625

A can complete work in = 30 days

Efficiency of A (A’s 1 day’s work) = 1/30

Efficiency of B (B’s 1 day’s work) = 1/30 × (125/100) = 1/24

Efficiency of C (C’s 1 day’s work) = 1/24 × (120/100) = 1/20

Let the remaining work be complete by B in x days.

According to the question

3 (1/30 + 1/24 + 1/20) + x/24 = 1

⇒ 3 [(4 + 5 + 6)/120] + x/24 = 1

⇒ 15/40 + x/24 = 1

⇒ x/24 = 1 – 3/8 ×

⇒ x/24 = (8 – 3)/8

⇒ x/24 = 5/8

⇒ x = 5/8 × 24 = 15

Short Trick:

Let Efficiency of A = 4

Efficiency of B = 4 × 5/4 = 5

Efficiency of C = 5 × 6/5 = 6

Total work = 30 × 4 = 120

Work done by A, B and C in 3 days = (4 + 5 + 6) × 3 = 45

Remaining work = 120 – 45 = 75

∴ B completes the remaining work in = 75/5 = 15 days

As we know,

(x³ + y³) = (x + y) (x² + y² – xy)

(x³ - y³) = (x - y) (x² + y² + xy)

(x + y)² - (x – y)² = 4xy

[(x – y)² + 3xy] = [x² + y² – 2xy + 3xy] = [x² + y² + xy]

[(x + y)² - 3xy] = [x² + y² + 2xy - 3xy] = [x² + y² - xy]

Now,

$\Rightarrow \frac{{{x^3} - {y^3}}}{{x[{{\left( {x + y} \right)}^2} - 3xy]}} \div \frac{{y\left[ {{{\left( {x - y} \right)}^2} + 3xy} \right]}}{{{x^3} + {y^3}}} \times \frac{{{{\left( {x + y} \right)}^2} - {{\left( {x - y} \right)}^2}}}{{{x^2} - {y^2}}}$

$\Rightarrow \frac{{\left( {{\rm{x;}} - {\rm{;y}}} \right){\rm{;}}\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2}{\rm{;}} + {\rm{;xy}}} \right)}}{{x\left[ {\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2}{\rm{;}} - {\rm{;xy}}} \right)} \right]}} \div \frac{{y\left[ {\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2} + {\rm{;xy}}} \right)} \right]}}{{\left( {{\rm{x}} + {\rm{y}}} \right){\rm{;}}\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2} - {\rm{;xy}}} \right)}} \times \frac{{4xy}}{{\left( {x - y} \right)\left( {x + y} \right)}}$

$\Rightarrow \frac{{\left( {{\rm{x;}} - {\rm{;y}}} \right){\rm{;}}\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2}{\rm{;}} + {\rm{;xy}}} \right)}}{{x\left[ {\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2}{\rm{;}} - {\rm{;xy}}} \right)} \right]}} \times \frac{{\left( {{\rm{x}} + {\rm{y}}} \right){\rm{;}}\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2} - {\rm{;xy}}} \right)}}{{y\left[ {\left( {{{\rm{x}}^2}{\rm{;}} + {\rm{;}}{{\rm{y}}^2} + {\rm{;xy}}} \right)} \right]}} \times \frac{{4xy}}{{\left( {x - y} \right)\left( {x + y} \right)}}$

⇒ 4

10% of 15400 = 1540

20% of 15400 = 3080

Using allegation method

1540 3080

2080

1000 : 540

Ratio of cost price of 5 tables and 9 chairs = 1000x : 540x

1000x + 540x = 1540x

⇒ 1540x = 15400

⇒ x = 15400/1540

⇒ x = 10

Cost price of 9 chairs = 540 × 10 = 5400

⇒ Cost price of 1 chair = 5400/9 = 600

∴ Cost price of 3 chairs = 3 × 600 = 1800

Detailed Method:

Let the cost price of one table and one chair be Rs. x and Rs. y respectively.

5x + 9y = 15400     ...1)

According to the question

5x × (10/100) + 9y × (20/100) = 2080

⇒ 5x/10 + 18y/10 = 2080

⇒ 5x + 18y = 20800     ...2)

Subtract equation (1) from equation (2).

9y = 5400

⇒ 3y = 1800

∴ Cost of 3 chairs are Rs. 1,800.

Average of 12 numbers in = 45.5

Sum of 12 numbers = 45.5 × 12 = 546

Average of first 4 numbers = 41.5

Sum of first 4 numbers = 41.5 × 4 = 166

Average of next 5 numbers = 48

Sum of next 5 numbers = 48 × 5 = 240

Sum of 10^th, 11^th and 12^th number = 546 – 166 – 240 = 140

Let the 10^th number be x

11^th number = x – 4

12^th number = x – 9

According to the question

x + x – 4 + x – 9 = 140

⇒ 3x – 13 = 140

⇒ 3x = 140 + 13

⇒ 3x = 153

∴ x = 153/3 = 51

Average of 10^th and 12^th number = (51 + 51 – 9)/2 = 93/2 = 46.5

Total number of computer sold by dealer B in April, May and June = 97 + 102 + 108 = 307

Total number of computer sold by all the dealers in February and April = 94 + 96 + 104 + 106 + 108 + 97 + 99 + 96 = 800

∴ Required percentage = 307/800 × 100 = $38\frac{3}{8}$

5 sin² θ + 14 cos θ = 13

⇒ 5 (1 – cos² θ) + 14 cos θ = 13

⇒ 5 – 5 cos² θ + 14 cos θ = 13

⇒ 5 cos² θ – 14 cos θ + 8 = 0

⇒ 5 cos² θ – 10 cos θ – 4 cos θ + 8 = 0

⇒ 5 cos θ (cos θ – 2) – 4 (cos θ – 2) = 0

⇒ (5 cos θ – 4) (cos θ – 2) = 0

Taking,

(5 cos θ – 4) = 0 (as cosθ can’t be 2)

cosθ = 4/5

Perpendicular = P, Hypotenuse = H and Base = B.

cos θ = B/H = 4/5

H = 5 and B = 4

As we know,

H² = P² + B²

⇒ 5² = P² + 4²

⇒ P² = 25 – 16 = 9

⇒ P = √9 = 3

sec θ = H/B = 5/4

cot θ = B/P = 4/3

cosec θ = H/P = 5/3

tan θ = P/B = 3/4

Now,

(sec θ + cot θ)/(cosec θ + tan θ)

⇒ (5/4 + 4/3)/(5/3 + 3/4)

⇒ [(15 + 16)/12]/[(20 + 9)/12]

⇒ 31/29

Interest rate for first 2 years = 8%

Interest rate for 5/8 year = 5/8 × 8 = 5%

P = 12,000

As we know,

A = P (1 + r/100)³

⇒ A = 12,000 × (108/100) × (108/100) × (105/100)

⇒ A = 12,000 × (27/25) × (27/25) × (21/20)

⇒ A = 14697

∴ CI = 14697 – 12000 = 2697

Short Trick:

12500 unit = 12000

15309 – 12500 = 2809 unit

∴ 2809 unit = 12000/12500 × 2809 = 2697

In ∆ABC

∠ABC = 68° and ∠ACB = 32°

As we know,

∠ABC + ∠DBC = 180°

⇒ ∠DBC = 180° – 68°= 112°

⇒ ∠CBF = 112°/2 = 56°

Similarly,

∠ACB + ∠BCE = 180°

⇒ ∠BCE = 180° – 32° = 148°

⇒ ∠BCF = 148°/2 = 74°

In ∆BFC

∠BFC + ∠CBF + ∠ BCF = 180°

⇒ ∠BFC = 180° – 56° – 74° = 50°

Short Trick:

∠B = 68° and ∠C° = 32°

∠A = 180° – 68° – 32° = 80°

Now, ∠BFC = 90° - ∠A/2 = 90° – 80°/2 = 50°

AB = AC

AC = 2 AD

As we know,

AD² = AP × AB

⇒ AD² = 2.5 × AC

⇒ AD² = 2.5 × 2AD

AD = 5 cm

⇒ AC = 2 × 5 = 10 cm

∴ AB = AC = 10 cm

Given: 

a + b + c = 11, ab + bc + ca = 3 and abc = -135

Formula used:

a³ + b³ + c³ – 3abc = (a + b + c) [(a + b + c)² – 3(ab + bc + ca)]

Calculation:

a3 + b3 + c3 – 3abc = (a + b + c) [(a + b + c)2 – 3(ab + bc + ca)]

⇒ a³ + b³ + c³ – 3 × (-135) = 11 [11² – 3 × 3]

⇒ a³ + b³ + c³ + 405 = 11 × [121 – 9]

⇒ a³ + b³ + c³ = 1232 – 405

⇒  a3 + b3 + c3 = 827

Total number of computer sold by dealer C over six months = 95 + 104 + 100 + 99 + 100 + 102 = 600

Average computer sold by dealer C over six months = 600/6 = 100

There are four months January, February, March and April in which the number of computers sold by dealer B was less than the average number of computers sold by dealer C in six months.

Alternate MethodCP ∶ MP = (100 - D%) ∶ (100 + P%)

CP ∶ MP = (100 - 18) ∶ (100 + 6.6)

CP ∶ MP = 82 ∶ 106.6

Required percentage = [(106.6 - 82)/82] × 100

⇒ 30%

 Shortcut Trick

Let the marked price be decided to be x% above the cost price, then

6.6 = x – 18 – 18x/100

⇒ 6.6 + 18 = x – 0.18x

⇒ 0.82x = 24.6

⇒ x = 24.6/0.82 = 30

Detailed Method:

Let the Cost price of the article be Rs. 100, then

SP of the article = 100 × (106.6) = Rs. 106.6

MP of the article = 106.6 × (100/82) = 130

MP is more than CP by = 130 – 100 = 30

∴ MP is more than CP by (in %) = 30/100 × 100 = 30%

Total number of computer sold by seller A in February, April and May = 94 + 108 + 98 = 300

Total number of computer sold by seller D in March, May and June = 90 + 89 + 91 = 270

∴ Required ratio = 300 : 270 = 10 : 9

Total computers sold by dealer A from February to June = 94 + 85 + 108 + 98 + 95 = 480

Total number of computers sold by all the dealers in June = 95 + 108 + 102 + 91 = 396

∴ Required percentage [(480 – 396)/396] × 100 = 21.2

$\frac{{7 - \left[ {4 + 3\left( {2 - 2 \times 2 + 5} \right) - 8} \right] \div 5}}{{2 \div 2;of;\left( {4 + 4 \div 4;of;4} \right)}}$

$\Rightarrow \frac{{7 - \left[ {4 + 3;\left( {2 - 4 + 5} \right) - 8} \right] \div 5}}{{2 \div 2;of;\left( {4 + 4 \div 16} \right)}}$

$\Rightarrow \frac{{7 - \left[ {4 + 3 \times 3 - 8} \right] \div 5}}{{2 \div 2;of;\left( {4 + \frac{1}{4}} \right)}}$

$\Rightarrow \frac{{7 - \left[ {4 + 9 - 8} \right] \div 5}}{{2 \div 2 \times \frac{{17}}{4}}}$

$\Rightarrow \frac{{7 - 5 \div 5}}{{2 \div \frac{{17}}{2}}}$

$\Rightarrow \frac{{7 - 1}}{{2 \times \frac{2}{{17}}}}$

⇒ 6 × (17/4)

⇒ 51/2

⇒ $25\frac{1}{2}$

Shortcut Trick

Product of extremes = Product of means → 5(2x + 1) = 2(x + 2)

10x + 5 = 2x + 4 ⇒ 8x = −1 ⇒ x = −0.125

Mean Proportional = √[3.5(1 − x) × 8(1 + x)] = √[28(1 − x²)]

Substituting x² = 1/64 ⇒ √[28 × 63/64] = √[1764/64] = 42/8 = 5.25

∴ The correct answer is 5.25.

Alternate Method

Given: Numbers (2x + 1), (x + 2), 2, and 5 are in proportion.

Formula Used: If a, b, c, d are in proportion, then a/b = c/d. Mean proportional between p and q is √(pq).

⇒ (2x + 1) / (x + 2) = 2 / 5

⇒ 5(2x + 1) = 2(x + 2)

⇒ 10x + 5 = 2x + 4

⇒ 8x = −1 ⇒ x = −1/8

Now find Mean Proportional between 3.5(1 − x) and 8(1 + x):

⇒ M.P. = √[3.5(1 − (−1/8)) × 8(1 + (−1/8))]

⇒ M.P. = √[3.5(9/8) × 8(7/8)]

⇒ M.P. = √[(7/2) × (9/8) × 7]

⇒ M.P. = √[441 / 16]

⇒ M.P. = 21 / 4 = 5.25

∴ The correct answer is 5.25.

Additional Information

Fourth Proportional

If a, b, c, x are in proportion, then x is the fourth proportional where x = (b × c) / a.

Third Proportional

If a, b, c are in continued proportion (a:b :: b:c), then c is the third proportional where c = b² / a.

Mean Proportional

For two numbers a and b, the mean proportional is the geometric mean, calculated as √(ab).

Height of the conical tent h = 36 m

As we know

Curved surface area of conical tent = πrl

Circumference of the base of a conical tent = 2 πr

2 πr = 66

⇒ 2 × (22/7) × r = 66

⇒ r = 66 × (7/22) × (1/2)

⇒ r = 21/2

As we know,

l² = r² + h²

⇒ l² = (21/2)² + 36²

⇒ l² = 441/4 + 1296

⇒ l² = (441 + 5184)/4 = 5625/4

⇒ l = √5625/4

⇒ l = 75/2

∴ Curved surface area of conical tent = πrl = (22/7) × (21/2) × (75/2) = 1237.5 m²

Formula Used:

N = a^p × b^q × c^r

The total number of factors = (p + 1) × (q + 1) × (r + 1)

Calculation: 

When 732 is divided by a positive integer x, the remainder is 12. So, 

732 – 12 = 720

So 720 will be completely divisible by x

720 = 2⁴ × 3² × 5¹

Total number of factors of 720 = (4 + 1) × (2 + 1) × (1 + 1) = 5 × 3 × 2 = 30

Number of factors 12 or less than 12 are (10) = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

So x cannot have these values because x is greater than 12

So, we can say that there are 30 - 10 = 20 possible values of x

Let the income of Sonu be Rs. 100

Savings of Sonu = 100 × (15/100) = Rs. 15

Expenditure of Sonu = 100 – 15 = Rs. 85

New income of Sonu = 100 × (120/100) = Rs. 120

If savings amount same, then new expenditure = 120 – 15 = 105

Her expenditure increased by = 105 – 85 = 20

Her expenditure increased by = 20/85 × 100 ≈ 23.5%

$\Rightarrow \frac{{tan30^\circ cosec60^\circ + tan60^\circ sec30^\circ }}{{si{n^2}30^\circ + 4co{t^2}45^\circ - {{\sec }^2}60^\circ }}$

$\Rightarrow \frac{{\frac{1}{{\sqrt 3 }} \times \frac{2}{{\sqrt 3 }} + \sqrt 3 \times \frac{2}{{\sqrt 3 }}}}{{\frac{1}{{{2^2}}} + 4 \times 1 - {2^2}{\rm{}}}}$

$\Rightarrow \frac{{\frac{2}{3} + 2}}{{\frac{1}{4} + 4 - 4}}$

⇒ (8/3) × 4

⇒ 32/3

5x + 1/3x = 4

Multiply by 3/5

⇒ 3x + 1/5x = 12/5

Squaring on both sides

⇒ (3x + 1/5x)² = (12/5)²

⇒ 9x² + 1/25x² + 2 × 3x × (1/5x) = 144/25

⇒ 9x² + 1/25x² = 144/25 – 6/5

⇒ 9x² + 1/25x² = (144 – 30)/25 

∴ The value is 114/25

Let the speed of boat and current be x km/hr and y km/hr respectively.

Downstream speed = (x + y) km/hr

Upstream speed = (x – y) km/hr

According to the question

3/(x – y) + 5/(x + y) = 55/60 = 11/12

4/(x – y) + 9/(x + y) = 1 + 25/60 = 17/12

Let 1/(x + y) = a and 1/(x – y) = b

3b + 5a = 11/12     ...1)

4b + 9a = 17/12     ...2)

Multiply by 4 in equation (1) and multiply by 3 in equation (2)

12b + 20a = 11/3     ...3)

12b + 27a = 17/4     ...4)

Subtract equation (3) from equation (4)

7a = 17/4 – 11/3

⇒ 7a = 7/12

⇒ a = 1/12

Since,  1/(x + y) = a

⇒ x + y = 1/a = 1/(1/12)

⇒ x + y = 12 km/hr

Speed of downstream = 12 km/hr

∴ Time taken to cover 43.2 km distance in downstream = 43.2/12 = 3.6 hr

The correct answer is Option 2.

A great strongness is an incorrect phrase. It must be replaced with great courage.

• Strong: having the power to move heavy weights or perform other physically demanding tasks; powerful, muscular
• Courage: the ability to do something that frightens one; bravery.

When one fights for the country, one shows courage, not strength.

Thus the correct sentence will be: To fight on the battlefield for the sake of one's country needs great courage.

The correct answer is Maya wrote this beautiful story

Key Points

• In Active Voice, a sentence emphasizes the subject, performing an action.
• In Passive Voice, a sentence emphasizes the action or the object of the sentence.
• The given sentence is in the passive voice and 'This beautiful story' is the subject and 'Maya' is the object.
• When we convert this sentence into active voice, the subject 'This beautiful story' of the passive voice becomes the object, the object 'Maya' becomes the subject.
• The passive format "was + V3 (written)" should be changed into the active format "V2 (wrote)".
• This is the active and passive voice rule for the past simple tense.
• Hence, the correct answer is option 1.

Additional Information

• Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:
  

The correct answer is Option 2.

Key Points

• 'Resemble' does not take any preposition after it.
• The sentence is grammatically incorrect.
• Thus 'resembled with a' must be replaced with 'resemble'.

The correct sentence will be: The animal resembled a cat.

The correct answer is Option 3.

Key Points

• Ethics: moral principles that govern a person's behaviour or the conduct of an activity. (नैतिकता)
  

Other words mean:

• Psychology: the scientific study of the human mind and its functions, especially those affecting behaviour in a given context. (मनोविज्ञान)
• Intuition: the ability to understand something instinctively, without the need for conscious reasoning. (प्रत्यक्षज्ञान)
• Attitude: a settled way of thinking or feeling about something; uncooperative behaviour. (रवैया)

The correct answer is a Close contest that ends in a tie

Key Points

• Dead-heat means a situation in which two or more competitors are exactly level
• Eg: The race ended in a dead heat.
• Other options do not carry any meaning in the context.

The correct answer is Respect.

• Revere: feel deep respect or admiration for (something).
• Repeat: say again something one has already said; do more than once.
• Enjoy: take delight or pleasure in (an activity or occasion); possess and benefit from.
• Condemn: express complete disapproval of; censure; sentence (someone) to a particular punishment, especially death.
• Respect: a feeling of deep admiration for someone or something elicited by their abilities, or achievements; due regard for the feelings, wishes, or rights of others. Respect is synonymous with revere. Other options do not hold meaning in the context.

Thus, option 4 is the correct answer.

The correct answer is Option 3.

• Malady: a serious problem; a disease or ailment
• Melody: a sequence of single notes that is musically satisfying; a tune.
• Remedy: a medicine or treatment for a disease or injury
• Parody: an imitation of the style of a particular writer, artist, or genre with deliberate exaggeration for comic effect.

No other option except 3, fits in the blank correctly.