SSC CGL 2020 Tier-I Official Paper (Held On : 23 Aug 2021 Shift 3) (Previous Year Paper)

Odd days:

A non-leap year has 365 days and a leap year has 366 days.

Non-leap year = 365 days or 52 weeks and 1 day. So, here the number of odd days is 1.

Leap year = 366 days or 52 weeks and 2 days So, here the number of odd days are 2.

Leap year between 2000 to 2012 = 2004, 2008 and 2012

And,

The non-leap year between 2000 and 2012 = 2001, 2002, 2003, 2005, 2006, 2007, 2009, 2010 and 2011

So, total number of odd day between 2000 and 2012 = 9 (Total Non- leap year) + 2 + 2 + 2 = 15 days = 1 odd day

19 July 2000 was a Wednesday

=> Day on 19 July 2012 = Wednesday + 15

= Wednesday + remainder of 15/7

= Wednesday + 1 (odd day) = Thursday

Therefore, 19 July 2012 = Thursday

Now,

15 June 2012 = 19 July 2012 – 34 days

= Thursday – 34

= Thursday – the remainder of 34/7

= Thursday – 6 (In reverse direction)

= Friday

Hence, 15 June 2012 was “Friday”.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except ‘LOUC’.

Hence, “LOUC” is the odd one

Statements:

1. No door is a window.

2. No rack is a door.

3. All cupboards are windows.

The least possible diagram for the given statements is as follows

Conclusion:

I. Some cupboards are racks → False (It is possible but not definite)

II. No cupboard is a door True (Because No door is a window and all cupboards are windows)

III. No rack is a window → False (There is no direct relation given between rack and window so it can be possible but not definite)

Hence, Only conclusion II follows.

Additional Information

The logic is here is:

**(**1^st number)² × 2 = 2^nd number

Option (1): 12 : 288

Now, follow the logic:

(12)² × 2

= 144 × 2 = 288 = 2^nd number

This option follows the pattern.

Option (2): 14 : 392

Now, follow the logic:

(14)² × 2

= 196 × 2 = 392 = 2^nd number

This option follows the pattern.

Option (3): 19 : 622

Now, follow the logic:

**(**19)² × 2

= 361 × 2 = 722 ≠ 2^nd number

This option do not follow the pattern.

Option (4): 11 : 242

Now, follow the logic:

(11)² × 2

= 121 × 2 = 242 = 2^nd number

This option follows the pattern.

Hence, pair “19 : 622” is an odd one.

Opposite surface of the open dice can be found by the below method:-

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces:-

Option (1) 6 and 3 → No, they are not opposite to each other.

Option (2) 4 and 5 → No, they are not opposite to each other.

Option (3) 3 and 4 → Yes, they are opposite to each other.

Option (4) 1 and 6 → No, they are not opposite to each other.

So, when the table will be constructed, the letters ‘3 and 4’ will be opposite to each other.

Hence, ‘3 and 4’ is correct answer

The embedded part of this image is:

Hence, option (1) is the correct answer.

Important Points

• Do not get tensed by the complexity of the figures.
• Carefully understand the structure of the given question figure.
• The embedded figure may not be of exact size. It may be small or big.
• Sometimes the rotation or reflection of the figures may be confusing.
• So think wisely before selecting the answer.

The image obtained when the paper is unfolded is,

Hence, option 3 is the correct answer.

The Venn diagrams best represent the relationship between - Fathers, Males, Sons figures are shown below:

Fathers, Males, Sons

All fathers can be sons and all sons and fathers are males.

Hence, ‘option 1’ is the correct answer.

The Logic here is as follows:

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

In (44, 24, 132)

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

(44 × 24) ÷ 8

= 1056 ÷ 8 = 132 = 3^rd Number

Now check the all options,

Option (1) (46, 22, 306)

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

(46 × 22) ÷ 8

= 1012 ÷ 8 = 126.5 ≠ 3^rd Number

Option (2) (32, 28, 250)

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

(32 × 28) ÷ 8

= 896 ÷ 8 = 112 ≠ 3^rd Number

Option (3) (16, 26, 186)

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

(16 × 26) ÷ 8

= 416 ÷ 8 = 52 ≠ 3^rd Number

Option (4) (56, 26, 182)

(1^st Number × 2^nd number) ÷ 8 = 3^rd Number

(56 × 26) ÷ 8

= 1456 ÷ 8 = 182 = 3^rd Number

Hence, the correct answer is "(56, 26, 182)".

Table show alphabet serial number –

The pattern followed is,

Hence, “WXOY” is the missing term.

We put all the option in blank area and check who create particular pattern

1) C, J, C, P, O, J, P

J P _ L D _ P _ M D J _ C _ D _ P C _ D

After filling the blanks with the letters/numbers in the option given above, we get:

J P C L D / J P C M D / J P C O D / J P C P D

No particular pattern is repeating itself when the sequence is divided into equal parts.

2) C, J, C, P, N, P, O

J P _ L D _ P _ M D J _ C _ D _ P C _ D

After filling the blanks with the letters/numbers in the option given above, we get:

J P C L D / J P C M D / J P C N D / P P C O D

No particular pattern is repeating itself when the sequence is divided into equal parts.

3) C, J, N, P, O, J, O

J P _ L D _ P _ M D J _ C _ D _ P C _ D

After filling the blanks with the letters/numbers in the option given above, we get:

J P C L D / J P N M D / J P C O D / J P C O D

No particular pattern is repeating itself when the sequence is divided into equal parts.

4) C, J, C, P, N, J, O

J P _ L D _ P _ M D J _ C _ D _ P C _ D

After filling the blanks with the letters/numbers in the option given above, we get:

J P C L D / J P C M D / J P C N D / J P C O D

Here fourth letter of word is increasing by +1.

L + 1 = M, M + 1 = N, N + 1 = O

A particular pattern is repeating itself when the sequence is divided into equal parts.

Hence, ‘C, J, C, P, N, J, O’ is the correct answer.

The figure that will replace the question mark (?) in the following figure series is shown below:

1. In series, one shape

 rotate 90° anticlockwise direction and after rotating this image make a water image, also dark side become lighter and the lighter side becomes dark.

2. In series, the second shape

 rotates 90° clockwise direction and after rotating this image dark side becomes lighter and the lighter side becomes

Hence, ‘option 2’ is the correct answer.

Given : Pedology : Soil

Pedology means the study of the formation, characteristics, and distribution of soils.

Now check the option,

Option(1) → Seismology : Pressure

The meaning of Seismology is a science that deals with earthquakes and with artificially produced vibrations of the earth.

So, this pair is wrong.

Option(2) → Pomology : Fruits

The meaning of Pomology is a science that deals with fruits and fruit growing.

So, this pair is correct.

Option(3) → Cytology : Metabolism

The meaning of Cytology is a branch of biology dealing with the structure, function, multiplication, pathology, and life history of cells**.**

So, this pair is wrong.

Option(4) → Hepatology : Blood

The meaning of Hepatology is the branch of medicine concerned with the liver and its diseases**.**

So, this pair is wrong.

Hence, “Pomology : Fruits” is correct option.

According to BODMAS rule:

Given equation 14 * 7 * 39 * 133 * 19 * 130

Option 1: Using the combination ×, +, –, ÷, =

14 × 7 + 39 – 133 ÷ 19 = 130

By BODMAS rule

14 × 7 + 39 – 7 = 130

98 + 39 – 7 = 130

137 – 7 = 130

130 = 130 (LHS = RHS)

Option 2: Using combination ×, –, +, ÷, =

14 × 7 – 39 + 133 ÷ 19 = 130

14 × 7 – 39 + 7 = 130

98 – 39 + 7 = 130

105 – 39 = 130

66 = 130 (LHS ≠ RHS)

Option 3: Using the combination ÷, +, –, ×, =

14 ÷ 7 + 39 – 133 ×19 = 130

2 + 39 – 133 ×19 = 130

2 + 39 – 2527 = 130

41 – 2527 = 130

– 2486 = 130 (LHS ≠ RHS)

Option 4: Using the combination ÷, –, +, ×, =

14 ÷ 7 – 39 + 133 × 19 = 130

2 – 39 + 133 × 19 = 130

2 – 39 + 2527 = 130

2529 – 39 = 130

2529 – 39 = 130

2490 = 130 (LHS ≠ RHS)

Hence, the answer is “×, +, –, ÷, =”.

Given:  ‘PRINTER’ is coded as ‘11181814759’ and ‘LOGIC’ is coded as ‘151520924’

The logic followed here is:

1. One by one opposite alphabet place value and same alphabets place value coded as a numerical value.

‘PRINTER’ is coded as ‘11181814759’

And,

LOGIC’ is coded as ‘151520924’

Similarly, 

TERMITE = ?

Hence, "75913182022" is the correct answer.

The logic is here is:

Option (1) Nostalgic → It is a positive energy word.

Option (2) Excited → It is a positive energy word.

Option (3) Timid → It is a negative energy word.

Option (4) Energised → It is a positive energy word.

Hence, ‘Timid’ is the correct answer.

‘A # B’ means ‘A is the brother of B’.

‘A @ B’ means ‘A is the daughter of B’.

‘A & B’ means ‘A is the husband of B’.

‘A % B’ means ‘A is the wife of B’.

Let us first decode the given symbols and then draw a family tree.

Now break the code of ‘W # Q @ T & Y @ M % K’

1) W # Q

‘W # Q’ means ‘W is the brother of Q’.

2) Q @ T

‘‘Q @ T’ means ‘Q is the daughter of T’.

3) T & Y

‘T & Y’ means ‘T is the husband of Y’.

4) Y @ M

‘Y @ M’ means ‘Y is the daughter of M’.

5) M % K

‘M % K’ means ‘M is the wife of K’.

Hence, K is the “Father-in-law” of T.

The logic is shown below –

Here 11, 13, 17, 19, 23 and 29 are prime numbers.

Hence, “130” is the correct answer.

According to the sequence in the dictionary:

The correct order of the given words is:

5. Callous
6. Cardiac
7. Cardinal

6**. Care**less

4. Carrot
5. Cartography

Hence, the correct answer is "5, 3, 1, 6, 4, 2".

The Logic here is as follows:

(3^rd number - 1^st Number)² = 2^nd Number

In (47, 64, 55)

(3^rd number - 1^st Number)² =

= (55 – 47)²

= 8²

= 64 = 2^nd Number

Now check the all options,

Option (1) (28, 25, 34)

(3^rd number - 1^st Number)² =

= (34 – 28)²

= 6²

= 36 ≠ 2^nd Number

Option (2) (46, 49, 53)

(3^rd number - 1^st Number)² =

= (53 – 46)²

= 7²

= 49 = 2^nd Number

Option (3) (56, 80, 64)

(3^rd number - 1^st Number)² =

= (64 – 56)²

= 8²

= 64 ≠ 2^nd Number

Option (4) (36, 100, 47)

(3^rd number - 1^st Number)² =

= (47 – 36)²

= 11²

= 121 ≠ 2^nd Number

Hence, the correct answer is "(46, 49, 53)".

The correct mirror image of the given figure when the mirror is held at the right side is:

Hence, "option (1)" is the correct answer.

Additional Information In Mirror image left side and right side changed vice-versa where the top and bottom remain the same.

The reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

The water image of the figure looks like the mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

Water image is just a reflection where top and bottom part of the images changed where left and right side of the image remain same.

Table of alphabets place value:

The pattern follows here,

Vowels are coded as next alphabets and consonants are coded as previous alphabets.

Vowel + 1 = Next letter

Consonants - 1 = previous letter

‘DARK’ is written as ‘CBQJ’

And,

‘SOUND’ is written as ‘RPVMC’

Similarly,

‘TOXIC’ is written as

Hence, ‘TOXIC’ is coded as 'SPWJB'

The logic followed here is:

Coerce : Persuade → Coerce and Persuade are synonyms and expresses the same emotional state..

Similarly,

Angry : Furious → Anger and furious are synonyms and expresses the same emotional state..

Hence, ‘Furious’ is the correct answer.

The pattern followed here is,

Let (M : N)

(N – 3)² + 1 = M

Now follow the steps:

485 : 25

(25 – 3)² + 1

= 22² +1

= 484 + 1

= 485

Similarly,

401 : 23

(23 – 3)² + 1

= 20² +1

= 400 + 1

= 401

Similarly,

? : 21

(21 – 3)² + 1

= 18² +1

= 324 + 1

= 325

Hence, “325” is correct answer.

The number of triangles in the given figure is:

So, there are a total of 11 triangles in the figure.

Hence, ‘11’ is the correct answer.

The correct answer is Satavahana.

Key Points

• Gautamiputra Satakarni was the 23rd ruler of the Satavahana dynasty.
• His achievements have been mentioned in the Nasik Inscription, by his mother Gautami.
• He defeated the **Saka King Nahapana and revived the Satavahana power.**​

Additional Information

• Satavahana Rule
• Satavahanas became prominent in the Indian political scene in the middle of the first century BC.
• Simuka was the founder of the Satavahana dynasty.
• Gautamiputra Satakarni (first century AD) is considered to be the greatest of the Satavahana rulers.
• The Satavahanas had their capital at Pratishthana (modern Paithan) near Aurangabad in Maharashtra. They were also known as the Andhras.
• The Puranas and inscriptions remain important sources for the history of Satavahanas. Among the inscriptions, the Nasik and Nanaghad inscriptions throw much light on the reign of Gautamiputra Satakarni.
• The Satavahana kingdom was wiped out in the first quarter of the third century AD and the Satavahanas kings were succeeded by the Kings of Ikshvaku dynasty.

The correct answer is Akbar.

Key Points

• Akbar issued a Declaration or Mahzar.
• Mahzar means pronouncement, declaration, or an opinion. It also implies petition.
• He removed the Chief Preacher at Fatehpur Sikri and himself mounted the Pulpit of Jama Masjid, Fatehpur Sikri on June 22, 1579, and read the Khutba in his own names as the prophet and caliphs.
• The Khutba was composed in verse by Faizi.
• Mahzar was issued in September 1579 and it was prepared by Sheikh Mubarak.
• Mahzar was signed by all the prominent Muslim theologians and divines of the Mughal empire.
• It was also signed by Makhdum-ul-Mulk and Abdun Nabi, although they were known to be bitter critics of Akbar's liberal religious policy.
• As instituted under the Mahzar, it was decided that Akbar would have the right to be the supreme arbiter or interpreter of Islamic laws, and he could decide in the matter of differing opinions on all religious questions.

The correct answer is Haryali.

 Key Points

• Hariyali is a watershed development and management program implemented by the central and state governments.
• The project is being implemented at the Grama Panchayat level with people's participation.
• The main objectives of the Hariyali program are:
• Harvesting every drop of rainwater for purposes of irrigation, plantations to create sustainable sources of income for the village community as well as for drinking water supplies.
• Overall development of rural areas by creating regular sources of income for the Panchayat from rainwater harvesting and management.
• Employment generation and poverty alleviation in rural areas.
• All the district level, ZP/DRDA shall be the nodal authority for the implementation of all the area development programs under the supervision and guidance of the State Government and the Government of India.
• A meeting of the Gram Sabha/ Ward Sabha shall be convened for the preparation of the Action Plan/Watershed Treatment Plan.

Additional Information

• Kund: A tank or small reservoir in which rainwater is collected for drinking.
• Johads are small earthen check dams that capture and conserve rainwater, improving percolation and groundwater recharge.
• Tankas are small tanks in the ground floor of the house, made of brick, lime and stone. These are used for drinking water.

The correct answer is North America.

Key Points

• Gondwanaland:
• It was an ancient supercontinent that broke up about 180 million years ago.
• The Gondwana land included India, Australia, South Africa, and South America as one single landmass.
• Gondwana became the largest piece of the continental crust of the Paleozoic.
• Gondwana existed from the Neoproterozoic period, that is, around 550 million years ago.
• During the Eocene period, the Drake passage was opened up separating Antarctica and South America.
• The continent of Gondwana was named by the Austrian scientist Eduard Suess, after the Gondwana region of central India which is derived from Sanskrit for 'forest of the Gonds'.
• As per the earlier definition, Gondwana was not considered a supercontinent, as the landmasses of Siberia, Laurentia, Baltica were separated from it.
• During the Paleozoic era, the largest piece of continental crust was the Gondwana, it was about 1/5th of the earth's surface.
• Gondwana merged with Euramerica, during the Carboniferous period, to form the larger supercontinent called Pangea.
• However, during the Mesozoic era, Pangea and Gondwana broke up.
• Two-thirds of today's continental area is made up of Gondwana which includes the Indian subcontinent, Australia, Antarctica, Arabia, Zealandia, Africa, and South America.

The correct answer is Football.

Key Points

• Prasanta Dora was a Former Indian and Mohun Bagan, East Bengal goalkeeper who passed away in January 2021.
• He made his debut in 1999 against Thailand in the Olympic qualifiers.
• Prasanta also represented Bengal in the Santosh Trophy. After turning out for clubs like Tollygunge Agragami and Calcutta Port Trust, the big break came in 1999 when he joined East Bengal.

The correct answer is Kiwi.

Key Points

• Kiwi is a flightless bird found only in New Zealand.
• Kiwis are pear-shaped endemic flightless birds with long legs and beaks.
• Their closest relatives are the emu, ostrich, cassowary, and rhea.
• Kiwis are found only in New Zealand in **forests, scrublands, and grasslands.**​

Additional Information

• Crane:
• Cranes are flying birds and they can sustain speeds of 30 mph by flying with flapping winds.
• Peacock:
• Peacocks are also one of the fastest running birds which can run at a speed of 10 mph.

The correct answer is Eardrum.

Key Points

• The eardrum of our body behaves like a stretched rubber sheet. Sound vibrations make the eardrum vibrate. The eardrum sends vibrations to the inner ear. From there, the signal goes to the brain.
• The tympanic membrane is called the eardrum.
• The tympanic membrane is a thin layer of tissue in the human ear that receives sound vibrations from the outer air and transmits them to the auditory ossicles, which are tiny bones in the tympanic (middle-ear) cavity.

Additional Information

• An Ear consists of three major sections namely: Outer Ear, middle ear, and Inner Ear.

The correct answer is Dhuandhar.

Key Points

• The Dhuandhar Falls is a waterfall that is located in the Jabalpur district of Madhya Pradesh formed by the river Narmada.
• The name of the waterfalls is derived from two words, "Dhuan", which means smoke, and "Dhar", which means flow.
• It is so named because the plunge creates a mist that looks like smoke.
• Narmada river originates from Amarkantak, rises from the Maikal ranges.
• Amarkantak is located in the Anupprur district of Madhya Pradesh in India.
• Narmada river mainly flows in central India.
• The Madhya Pradesh government passed a resolution granting river Narmada the status of a living entity and committed itself to the protection of its legal rights.
• A month ago, the Uttarakhand High Court had declared Ganga, Yamuna, and their tributaries living entities with the status of a legal person. The move is done to protect the river and biodiversity.​

Additional Information

• Khandadhar
• Amidst thick jungles, Khandadhar is a glittering waterfall created by a perennial rivulet called Korapani Nala within a few km. of its origin. 244 meters in height it is said to be the highest waterfall in Odisha.
• Speeding water of this holy river Khandadhar Spring is falling straight down to the earth at a distance of around 500 feet of height. Due to the vertical falling of water, this waterfall is known as Khandadhar.
• The natural environment of this area is also the ideal place for rich flora and fauna which are abundantly available here.
• This spot is at a distance of 50 km from Keonjhar town.
• ​Shivasamudram
• Shivanasamudra is a waterfall in the Chamarajanagar district of Karnataka.
• Shivanasamudra is situated along the river Kaveri, which forms here the boundary to the Mandya district and Chamarajanagar district.
• In 1902, Asia's first hydroelectric project was set up here.
• For running the Gold mines, Power was evacuated from this power project to Kolar Gold Fields near Bangalore.
• The island town of Shivanasamudra divides the river Kaveri into twin waterfalls.
• Shivanasamudra is a perennial waterfall.
• The monsoon season of July to October is the time of the best flow.
• Dudhsagar
• Dudhsagar Falls ('Sea of Milk') is a four-tiered waterfall located on the Mandovi River in the Indian state of Goa.
• Dudhsagar Falls is amongst India's tallest waterfalls with a height of 310 m (1017 feet) and an average width of 30 meters (100 feet).
• The Dudhsagar falls is located in the Bhagwan Mahaveer Sanctuary and Mollem National Park among the Western Ghats.
• The Dudhsagar falls is a punctuation mark in the journey of the Mandovi River from the Western Ghats to Panjim where it meets the Arabian sea.
• The area is surrounded by deciduous forests with rich biodiversity.
• This waterfall is also known as Tambdi Surla to some of the local people.

The correct answer is Jaundice.

Key Points

• Jaundice is a disease of the liver. The condition is characterized by yellowing of the skin and the whites of the eyes which is due to an increase in the amount of bilirubin in the blood.
• Bilirubin is a byproduct of the natural destruction and breakdown of the red blood cells and it is the liver that metabolizes and excretes this product along with bile.
• When there is a disruption in this metabolism, there is an increase in the amount of bilirubin in the blood which leads to jaundice.
• Jaundice is not a disease in itself but a sign of some other underlying problem.

Additional Information

• Diarrhoea
• It may be caused by an infection, food poisoning, or indigestion. It is very common in India, particularly among children. Under severe conditions, it can be fatal.
• This is because of the excessive loss of water and salts from the body. Diarrhoea should not be neglected.
• Most cases of dehydration are very minor and do not require any medical attention. They can usually be treated by drinking fluids such as water, breast milk, baby formula, or diluted juices.
• Oral rehydration therapy is used for treating the more serious dehydration that is caused by viral gastroenteritis, also known as stomach flu. This virus can cause a child to vomit repeatedly or have prolonged diarrhoea, which can result in dehydration.
• Constipation
• It is the condition in which there is difficulty in emptying the bowels.
• ​Vomiting 
• The act of throwing up food or the contents of one's stomach through one's mouth.

The correct answer is Ignition temperature.

Key Points

• The ignition temperature:
• It is the least temperature of a substance at which the substance starts combustion.
• Substances that spontaneously ignite in a normal atmosphere at naturally ambient temperatures are termed pyrophoric.
• The autoignition temperature is also known as the kindling point.
• The kindling point of a substance is the lowest temperature in which it spontaneously ignites in a normal atmosphere without an external source of ignition, such as a flame or spark.

Additional Information

• Melting point
• The melting point is the temperature at which a substance changes its state from solid into liquid.
• For ice, the temperature in degree Celcius is 0 and in kelvin, it is 273.
• ​Boiling point
• The temperature at which the pressure exerted by the surroundings upon a liquid is equalled by the pressure exerted by the vapour of the liquid.
• Under this condition, the addition of heat results in the transformation of the liquid into its vapour without raising the temperature.
• The boiling point of water at normal pressure is 100°C.
• Normal temperature
• The normal temperature of the human body is 37 °C. A temperature above 100.4 °F(38°C) most often means you have a fever caused by an infection or illness.
• Normal human body temperature is the prototypical temperature range found in humans.
• The normal human body temperature border is typically stated as 36.5-37°C (97.7-98.6 °F)
• Human body temperature changes, it depends on gender, age, time of day, exertion level, health status, what part of the body the measurement is taken at, state of consciousness (waking, sleeping, sedated), and emotions.

The correct answer is Sarojini Naidu.

Key Points

• Sarojini Naidu was also known as the Bharat Kokila or the Nightingale of India.
• She was called the Nightingale of India or Bharatiya Kokila because her poems are rich in imagery and emotions.
• She was a poet, orator, and freedom fighter, a crusader for equality, and a lover of nature.
• She was the vibrant and articulate voice of India at gatherings across the globe.
• She has many firsts to her credit, including being the first Indian woman to become the President of the Indian National Congress and the first woman to become the governor of an Indian state.
• Sarojini Naidu was a prolific poet whose volumes of poetry included The **Golden Threshold (1905), The Bird of Time (1912), and her collected poems, published as The Sceptred Flute (1928) and The Feather of the Dawn (1961).**​

Additional Information

The correct answer is Rani-ki-Vav.

Key Points

• Rani ki Vav:
• It is a very famous stepwell in Gujarat. It is situated in the town of Patan, Gujarat.
• It is located on the bank of the Saraswati river. It was rediscovered and restored in the 1980s by the Archaeological Survey of India.
• It is one of the UNESCO's World Heritage Sites since 2014.
• Its architecture is very defining as it was made in the form of an inverted temple.
• It is divided into seven levels of stairs, which have sculptural panels.
• It was constructed during the rule of the **Chalukyas dynasty.**​

Additional Information

• Alai Darwaza:
• The Alai Darwaza is the main gate from the southern side of the Quwwat-ul-Islam Mosque in the Qutub Minar complex.
• Allaudin Khilji constructed Alai Darwaza, the Palace of a thousand pillars, and the Fort of Siri.
• Humayun Tomb:
• Humayun's tomb is located in Delhi. It was built in the 1560s, with the patronage of Humayun's son, the great Emperor Akbar.
• it was the first garden-tomb on the Indian subcontinent. It inspired several major architectural innovations, culminating in the construction of the Taj Mahal.
• Humayun's Tomb, Delhi is the earliest example of the double dome in Mughal Architecture.
• The double or double-layered dome has its outer layer which supports the white marble exterior, while the inner part gives shape to the cavernous interior volume.
• It was designed by the architect Mirak Mirza Ghiyath. It includes other contemporary, 16th-century Mughal garden-tombs such as Nila Gumbad, Isa Khan, Bu Halima, Afsarwala, Barber's Tomb, and the complex where the craftsmen employed for the Building of Humayun's Tomb stayed, the Arab Serai.
• Humayun's garden-tomb is also called the dormitory of the Mughals as in the cells are buried over 150 Mughal family members.
• Bibi ka Maqbara:
• Bibi ka Maqbara' is a tomb situated in Aurangabad, Maharashtra, India.
• The Bibi-Ka-Maqbara is a beautiful mausoleum of Rabia-ul-Daurani alias Dilras Banu Begum, the wife of the Mughal Emperor Aurangazeb (1658-1707 A.D.).
• This mausoleum is believed to be constructed by Prince Azam Shah in memory of his mother from 1651 to 1661 A.D. An inscription found on the main entrance door mentions.
• Source: (Archeological Survey of India, Ministry of Culture).

The correct answer is Four.

Key Points

• Potassium Permanganate is an inorganic chemical compound that has KMnO₄. as its chemical formula.
• It is a salt consisting of K and Mno-4 ions*.
• It is a strong oxidizing agent.
• It is used as a medication for cleaning wounds and dermatitis.

The correct answer is Gwalior on 20 June 1858.

Key Points

• Indian Mutiny began in Meerut on 10 May 1857  and ended in Gwalior on 20 June 1858 by Indian troops (sepoys) in the service of the British East India Company.
• ​Indian Mutiny, also called Sepoy Mutiny or First War of Independence, widespread but unsuccessful rebellion against British rule in India in 1857-59.
• It spread to Delhi, Agra, Kanpur, and Lucknow.
• This Sepoy Mutiny was a violent and very bloody uprising against British rule in India in 1857.
• Sepoy units in the south of India remained loyal, but in the north, many units of the Bengal Army turned on the British.

 Additional Information

• The Indian Mutiny which started in Meerut spread from town to town and reached Jhansi on 5 June 1857 where the 12th Bengal Native Infantry and the 14th Irregular Cavalry rebelled.
• They killed two British officers, took possession of the Star Fort with its guns and treasure, plundered the town, and released prisoners from the jail.
• The remaining Europeans took refuge in the Town Fort and appealed to the Rani of Jhansi who sent them guns and ammunition.
• The fort was too weak to defend and Major Skene accepted terms of safe conduct.
• However, on emerging from the fort on 7 June, the Europeans were seized and taken to the Jokan Bagh where they were killed.
• The mutineers left for Agra and Delhi on 11 June.

Important Points

• List of Important Leaders associated with the revolt of 1857:

The correct answer is Short range surface-to-air missile system.

Key Points

• QRSAM:
• On 17 November 2020 the Quick Reaction Surface-to-Air Missile system (QRSAM) was successfully test-fired by Defense Research and Development Organisation (DRDO).
• The test was conducted at the Integrated Test Range, Chandipur off the Odisha coast.
• The Test was in continuation of a series of missile tests conducted by DRDO over the past two months.
• QRSAM is a canister-based system, which means that it is stored and operated from specially designed compartments.
• In the canister, the inside environment is controlled, thus along with making its transport and storage easier, the shelf life of weapons also improves significantly.
• The system is capable of detecting and tracking targets on the move and engaging targets with short halts.
• It is a short-range surface-to-air missile (SAM) system, primarily designed and developed by DRDO to provide a protective shield to moving armored columns of the Army from enemy aerial attacks.

Additional Information

• • The entire weapon system has been configured on a mobile and maneuverable platform and is capable of providing air defense on the move.
• It has been designed for induction into the Army and has a range of 25 to 30 km.
• The QRSAM weapon ensemble which functions on the move consists of a fully automated command and control system.
• It also consists of two radars - Active Array Battery Surveillance
• Radar and Active Array Battery Multifunction Radar - with one launcher.
• Both radars have 360-degree coverage with the search on move and track on move capabilities.
• The system is compact, uses a single-stage solid propelled missile, and has a mid-course inertial navigation system with a two-way data link and terminal active seeker developed indigenously by DRDO.

The correct answer is Maharashtra.

Key Points

• The Maharashtra government will start 'jail tourism' in the state from Pune's Yerawada prison on January 26, 2021.
• It will facilitate people to visit and see from close quarters the historical prisons.
• This is the first of its kind initiative in the country.
• Under British rule, several freedom fighters, including **Mahatma Gandhi had been imprisoned in Yerawada jail.**​

Additional Information

• Maharashtra:
• Chief Minister - Uddhav Thackeray (As of Jan 2022).
• Governor - Bhagat Singh Koshyari (As of Jan 2022).
• Number of Districts - 36.

The correct answer is Mahatma Gandhi.

Key Points

• Ethical Religion was authored by M.K. Gandhi.
• M. K. Gandhi was a prolific writer. He founded and edited several newspapers/journals including Indian Opinion, Young India.
• There are innumerable books that are collections of Gandhi's writings on various topics.
• Here are the three books that Gandhi wrote:
• Hind Swaraj or Indian Home Rule (1909)
• India of My Dreams (1947).
• **Nature Cure (1948) (**posthumously)

Confusion Points

• Mahatma Gandhi indeed wrote a book titled "Key to Health," sometimes referred to as "Nature Cure," which was published posthumously in 1948,**.**​

Additional Information

• Mohandas Karamchand Gandhi was born in Porbandar Town of the Bombay Presidency on 2 October 1869, the year in which Lord Mayo took office as Governor-General of India.
• The honorific Mahātmā first applied to him in 1914 in South Africa, is now used throughout the world.

The correct answer is Rana Sanga.

Key Points

• The Battle of Khanwa was fought between the Mughal Emperor Babur and Rana Sangha of Mewar in the year 1527.
• Babur defeated Rana Sanga in the battle of Khanwa.
• It was fought in the village of Khanwa near Bharatpur, Rajasthan.
• The First Battle of Panipat was fought in **1526 between Babur and Ibrahim Lodi.**​

Additional Information

• 1526: First Battle of Panipat.
• It was fought between Babur and Ibrahim Lodhi.
• Babur defeated Ibrahim Lodhi.
• 1529: Battle of Ghagra.
• It was fought between Babur and Md. Lodhi with his aids.
• Babur defeated Md. Lodhi.

The correct answer is Rishabh Pant.

Key Points

• Rishabh Pant hit the winning run as India won by three wickets to win fourth Test and the  Border-Gavaskar Trophy vs Australia.
• Rishabh Pant finished the series with 274 runs from five innings at an average of 69.89 with a high score of 97.
• He was awarded the Man of the Match in Brisbane.

Additional Information

• Border Gavaskar Trophy is a Test Cricket Series played between India and Australia.
• It is named after Alan Border of Australia and Sunil Gavaskar of India.
• This is Indias first win in Brisbane Cricket Ground (Gabba).

The correct answer is Roman.

Key Points

• The symbol is an amalgam of Devanagari "Ra" and the Roman Capital "R" with two parallel horizontal stripes running at the top representing the national flag and also the "equal to" sign.
• The Indian Rupee sign was adopted by the Government of India on 15th July 2010.
• The symbol of the Indian Rupee (3) typifies India's international identity for money transactions and economic strength.

Additional Information

• Udaya Kumar was just a day or two away from starting his new job in the Department of Design at the Indian Institute of Technology (IIT), Guwahati, in 2010 when he won a national contest to design a symbol for the Indian rupee.
• The Indian rupee (INR) is the currency of India.
• INR is the International Organization for Standardization currency code for the Indian rupee, for which the currency symbol is 3.

The correct answer is Environmental degradation and per capita income.

Key Points

• Environmental Kuznets curve:
• The environmental Kuznets curve (EKC) is a relationship between environmental quality and economic development.
• According to this theory, many indicators of environmental degradation tend to get worse as modern economic growth occurs until average income reaches a certain point over the course of development.
• In other words, the environmental Kuznets curve suggests that economic development initially leads to a deterioration in the environment, but after a certain level of economic growth, a society begins to improve its relationship with the environment, and levels of environmental degradation reduce.
• The EKC suggests that the solution to pollution is economic growth.

Additional Information

• This is a debatable theory.
• The link between levels of income and environmental degradation is quite weak.
• It is possible economic growth will be compatible with an improved environment, but it requires a very deliberate set of policies and willingness to produce energy and goods in the most environmentally friendly way.

The correct answer is President.

Key Points

• The President appoints a member of the Lok Sabha as the Speaker Pro Tem.
• One of the senior-most members of the newly-elected Lok Sabha is generally appointed as a Protem Speaker.
• The President himself administers oath to the Speaker Pro Tem of the Lok Sabha.
• Pro-tem speaker is the temporary speaker who presides over the first meeting of the Lower House of Parliament after the general elections besides presiding over the sitting in which the Speaker and Deputy.
• As provided by the Constitution, the Speaker of the last Lok Sabha vacates his office immediately before the first meeting of the newly-elected Lok Sabha.

Additional Information

• As per the second provision to article 94 of the Constitution, the office of the Speaker becomes vacant immediately before the first meeting of the new Lok Sabha.
• In that case list of senior Lok Sabha members prepared by the Legislative Section is submitted to the Minister of Parliamentary Affairs, who selects a pro tem speaker and is approved by the President.
• A President pro tempore or speaker pro tempore is a constitutionally recognized officer of a legislative body who presides over the chamber in the absence of the normal presiding officer.

The correct answer is 52nd Amendment.

Key Points

• 52nd Amendment comprises Provision against political defections.
• The 52nd amendment to the constitution of India deals with the Anti Defection Law.
• This amendment Provides disqualification of members from parliament and assembly in case of defection from one party to another.
• Added Tenth Schedule to the Indian Constitution.
• Enforced since **15 February 1985.**​

Additional Information

The correct answer is Dalkhai.

Key Points

• The dance Dalkai originates from the Sambalpur district of Odisha.
• It is usually performed to please Goddess Durga and is one of the most popular traditional folk-dance forms of Adivasi's of Sambalpur.
• It is commonly performed at festivals like Dashahra, Bhaijiuntia, Phagun Puni, Nuakhai, etc.
• The main theme of this dance form is Radha and Krishna, Ramayana, and Mahabharata.
• Popular Dances of Odisha:
• Odissi Dance.
• Chhau Dance.
• Chaiti Ghoda.
• Danda Nata.
• Medha Nacha.
• Changu Dance.
• Karma Dance.

Additional Information

• Giddha:
• Gidha is a popular dance form of Punjab.
• It is performed during the most joyous occasions held in Punjab. It is performed only by the ladies.
• Gidha was derived from the ancient dance called the ring dance.
• The costume for this dance is very simple.
• The jewelry, the music used for the dance also plays a vital role in defining the uniqueness of the dance.
• There are no instruments involved in the Gidha dance apart from a dhol.
• It is not performed according to any cut and dried rule.
• ​Hojagiri:
• Hojagiri is a folk dance mainly performed in the state of Tripura. It is mainly performed on the occasion of Hojagiri festivals.
• The dance is performed by only women, of about 4 to 6 members in a team.
• The Riang clan of Tripuri people performs this dance and they are very expert.
• The male members participate in singing the lyrics, playing the Kham, Sumui.
• Rauf:
• 'Rauf' is a folk dance associated with the state of Jammu and Kashmir.
• Apart from this, other folk dances of Jammu and Kashmir include Damali, Hikat, Mandjas, etc.

The correct answer is Ahmedabad.

Key Points

• India's first seaplane service, which was launched in November 2020, operates between Kevadiya and Ahmedabad.
• The service will be operated by Spicejet Airline from Sabarmati riverfront in Ahmedabad to Statue of Unity in Kevadia.
• An MoU was signed between Chief Minister Vijay Rupani and the Ministry of Civil Aviation (MOCA) and Airports Authority of India to start the "first-ever seaplane services in Gujarat.
• The water aerodrome scheme is being implemented by the terms and conditions of a tripartite agreement between the state government, the Ministry of Civil Aviation (MoCA), and the Airports Authority of India.
• SpiceJet will operate a 19-seater plane, which will be able to accommodate14 passengers. The ticket price would be around 4,800 per person.

Important Points

• ​Bhupendrabhai Patel is the current Chief Minister of Gujarat

Given:

54 ÷ 16 of 3 × [12 ÷ 4 of {6 × 3 ÷ (11 - 2)}] ÷ (12 ÷ 8 × 2)

Concept used:

Calculation:

54 ÷ 16 of 3 × [12 ÷ 4 of {6 × 3 ÷ (11 - 2)}] ÷ (12 ÷ 8 × 2)

⇒ 54 ÷ 16 of 3 × [12 ÷ 4 of {6 × 3 ÷ 9}] ÷ (3/2 × 2)

⇒ 54 ÷ 16 of 3 × [12 ÷ 4 of 2] ÷ 3

⇒ 54 ÷ 16 of 3 × [12 ÷ 8] ÷ 3

⇒ 54 ÷ 48 × 3/2 ÷ 3

⇒ 54/48 × 3/2/3

⇒ 54/48 × 3/6

⇒ 9/16

∴ Required answer is 9/16

Given:

9(a2 + b2) + c2 + 20 = 12(a + 2b)

Concept used:

(a + b)2 = a2 + b2 + 2ab

(a - b)2 = a2 + b2 - 2ab

Calculation:

9(a2 + b2) + c2 + 20 = 12(a + 2b)

⇒ 9a2 + 9b2 + c2 + 20 = 12a + 24b

⇒ 9a2 - 12a + 9b2 - 24b + c2 + 20 = 0

⇒ 9a2 - 12a + 4 + 9b2 - 24b + 16 + c2 = 0

⇒ (3a - 2)² + (3b - 4)² + c2 = 0

(3a - 2) = 0

(3b - 4) = 0

c = 0

a = 2/3

b = 4/3

c = 0

So,

$\sqrt{6a + 9b + 2c}$ = $\sqrt{6 \times 2/3 + 9 \times 4/3}$

⇒ $\sqrt{4 + 12}$

⇒ 4

∴ Required answer is 4

Given:

sin α + sin β = cos α + cos β = 1

Concept used:

Calculation:

sin α + sin β = 1

cos α + cos β = 1

If put, α = 90° and β = 0° the equation is satisfying

So,

sin α + cos α = 1 + 0

⇒ 1

∴ Required answer is 1

Given:

(2x + y)3 - (x - 2y)3 = (x + 3y)[Ax2 + By2 + Cxy]

Concept used:

x³ - y³ = (x - y)(x² + y² + xy)

Calculation:

(2x + y)3 - (x - 2y)3 = (2x + y - x + 2y)[(2x + y)² + (x - 2y)² + (2x + y)(x - 2y)]

⇒ (x + 3y)[4x² + y² + 4xy + x² + 4y² - 4xy + 2x² - 4xy + xy - 2y²]

⇒ (x + 3y)[7x2 + 3y2 - 3xy]

So,

A = 7

B = 3

C = - 3

Now,

(A + 2B + C) = 7 + 6 - 3 = 10

∴ Required answer is 10

In 0 to 15 = 8

In 15 to 30 = 14

In 30 to 45 = 28

In 45 to 60 = 30

Total = 80

Percentage = (80/128) × 100

⇒ 62.5%

∴ Percent of students got marks less than 60 is 62.5%

Given:

Numbers = 54, 49, 22 and 21

Concept used:

a/b = c/d

Calculation:

(54 - x)/(49 - x) = (22 - x)/(21 - x)

⇒ (54 - x)(21 - x) = (49 - x)(22 - x)

⇒ 1134 - 54x - 21x + x² = 1078 - 49x - 22x + x²

⇒ 4x = 56

⇒ x = 14

Now,

(8x - 25) to (7x - 26)

⇒ (8 × 14 - 25) : (7 × 14 - 26)

⇒ (112 - 25) : (98 - 26)

⇒ 87 : 72

⇒ 29 : 24

∴ Required answer is 29 : 24

Given:

∠A = x°, ∠B = 5y°, ∠C = 2x°, and ∠D = y°

Concept used:

The sum of a pair of opposite angles is 180° (supplementary)

Calculation:

∠A + ∠C = 180° 

x + 2x = 180°

⇒ 3x = 180° 

⇒ x = 60° 

∠B + ∠D = 180°

5y + y = 180°

⇒ 6y = 180°

⇒ y = 30° 

(3x - y) = (60 × 3 - 30)

⇒ 180 - 30 = 150°

∴ The value of (3x - y) is 150

Given:

CP = Rs. 1800

Concept used:

Profit = SP - CP

Calculation:

Profit = 1800 × 1/10 = Rs. 180

SP of 40% = 1800 × 2/5 × 17/20

⇒ Rs. 612

SP of 33.33% of the remaining = 1800 × 3/5 × 1/3 × 6/5

⇒ Rs. 432

Remaining portion = 1800 × 3/5 × 2/3 = 720

SP of remaining = 1980 - 612 - 432 = 936

Profit % = [(936 - 720)/720] × 100

⇒ 30%

∴ Required profit percentage is 30%

Given:

Sides of the equilateral triangle = 18 cm

$BD=\frac{1}{3}BC$

Concept used:

Cosine rule

Calculation:

In ΔABD

CosB = (AB² + BD² - AD²)/(2 × AB × BD)

⇒ Cos60° = (18² + 6² - AD²)/(2 × 18 × 6)

⇒ 1/2 = (324 + 36 - AD2)/216

⇒ 216 = 648 + 72 - 2AD2

⇒ 2AD2 = 648 + 72 - 216

⇒ AD2 = 252

⇒ AD = 6√7

∴ The length of AD is 6√7 cm

Given:

MP = Rs. 180

Profit percentage = 25%

Discount = 20%

Concept used:

SP = MP - MP × Discount%

Calculation:

SP = 180 × 4/5 = 144

CP = 144 × 4/5 = Rs. 115.2

∴ Cost price of the product is Rs. 115.2

Students enrolled in B 2014 = 132

Students enrolled in B 2015 = 138

Students enrolled in B 2017 = 135

Total in three years = 132 + 138 + 135 = 405

Average = 405/3 = 135

Students enrolled in E 2013 = 105

Students enrolled in E 2018 = 145

Total in two years = 105 + 145 = 250

Average = 250/2 = 125

Sum = 135 + 125 = 260

∴ Required sum is 260

Given:

Lucky spends 85% of her income

Increase in his income = 26% 

Increase in saving = 60% 

Concept used:

Income = Saving + Expenditure 

Calculations:

Let the income of Lucky be 100x

So, increased income = 126x

Expenditure of Lucky = 85x

Saving = 15x

Now saving increased 60%

So,

15x × 8/5 = 24x

So Expenditure = 126x - 24x = 102x

Increased in expenditure = 102x - 85x = 17x

So, percentage increased = (17x/85x) × 100 = 20%

∴ The value of x is 20

Given:

$cosec(60° + A) - sec(30° - A) +\frac{cosec49^{\circ}}{sec 41^{\circ}}$

Concept used:

Calculation:

$cosec(60° + A) - sec(30° - A) +\frac{cosec49^{\circ}}{sec 41^{\circ}}$

⇒ $sec(90° - 60° - A) - sec(30° - A) +\frac{sec(90° - ;49^{\circ})}{sec 41^{\circ}}$

⇒ $sec(30° - A) - sec(30° - A) +\frac{sec 41^{\circ}}{sec 41^{\circ}}$

⇒ 1

∴ Required answer is 1

Amount invested in 2013 = 250

Amount invested in 2014 = 350

Amount invested in 2015 = 325

Total = 250 + 350 + 325 = 925

Sales of finished goods in 2014 = 475

Sales of finished goods in 2016 = 600

Sales of finished goods in 2017 = 525

Total = 1600

Ratio = 925 : 1600

⇒ 37 : 64

∴ Required ratio is 37 : 64

Given:

The perimeter of a circular lawn is 1232 m

Concept used:

Perimeter = 2πr

Area of the path = π(R2 - r2)

R = radius of the lawn including the path

r = radius of the lawn excluding the path

Calculation:

2πr = 1232

⇒ πr = 616

⇒ 22/7 × r = 616

⇒ r = 196

Now,

Radius with the path = 196 + 7 = 203

Area of the path = π(203² - 196²)

⇒ 22/7 × 399 × 7

⇒ 8778

∴ The area of the path is 8778 m²

Given:

PA = 8 cm

PC = 4 cm

PD = 3.2 cm

Formula used:

PA × PC = PB × PD

Calculation:

ΔABP and ΔDCP are similar.

PA/PD = PB/PC

⇒ PA × PC = PB × PD 

⇒ 8 × 4 = 3.2 × PB

⇒ 32 = 3.2 × PB

⇒ 32/3.2 = PB

⇒ PB = 10

So,

BD = PB - PD

⇒ 10 - 3.2 = 6.8

∴ The length of BD is 6.8 cm

Given:

There are some children in a camp and their average weight is 40 kg

Average of 5 children = 36 kg

Average of other 5 children = 43.2

Concept used:

Average = Sum of elements/No of elements

Calculation:

Let total number of children in the camp be x

Average weight of x children = 40

Sum of weight of x children = 40x

Average weight of 5 children = 36 

Sum of weight of first 5 children = 36 × 5 = 180 

Average weight of second 5 children = 43.2 

Sum of weight of 5 children = 43.2 × 5 = 216 

According to the question,

(40x + 180)/(x + 5) = (40x - 216)/(x - 5)

⇒ (40x + 180)(x - 5) = (40x - 216)(x + 5)

⇒ 40x² - 200x + 180x - 900 = 40x2 + 200x - 216x - 1080

⇒ 4x = 180

⇒ x = 45

∴ initially 45 children were in the camp.

Total number of students enrolled for VC in institutes A, B and D in 2015 = 130 + 138 + 122

⇒ 390

Total number of students enrolled in institutes C and E in 2018 = 135 + 145 = 280

Difference = 390 - 280 = 110

Percentage = (110/280) × 100

⇒ 39.28 ≈ 39.3

∴ Required answer is 39.3

Given:

Ratio of efficiencies of X and Y is 5 : 7

X and Y can complete the same work in 70 days

Concept used:

Total work = Total time × total efficiency

Calculation:

Efficiencies ratio X to Y = 5 ∶ 7

Total work = (5 + 7) × 70 = 840 

Work done by X in 42 days = 42 × 5 = 210

Remaining work = 840 – 210 = 630

Remaining work completed by Y in = 630/7 = 90 days

∴ Y alone will complete the remaining work in 90 days

Given:

x + y + z = 2

x3 + y3 + z3 - 3xyz = 74

Formula used:

a3 + b3 + c3 - 3abc = (a + b + c)/2 [3(a2 + b2 + c2) - (a + b + c)2]

Calculation:

According to the formula

2/2 [3(x² + y² + z²) - 2²] = 74

⇒ 3(x2 + y2 + z2) = 74 + 4

⇒ x2 + y2 + z2 = 78/3 = 26

∴ Required answer is 26

Given:

Sum = Rs. 30800

Rate = 10%

Time = 3 years

Concept used:

A = P(1 + r/100)^t

A= Amount

P = principal

r = rate of interest

t = time

Calculation:

After 2 years amount will be = 30800 × 11/10 × 11/10

⇒ Rs. 37268

He paid Rs. 13268

So, sum now = 37268 - 13268 = 24000

Amount after one year = 24000 × 11/10

⇒ Rs. 26400

∴ The value of x is Rs. 26400

Given:

$\frac{1}{1-sinθ}+\frac{1}{1+sinθ}=4sec θ$

Concept used:

1² - sin²θ = cos²θ

Cosθ = 1/Secθ

Calculation:

$\frac{1}{1-sinθ}+\frac{1}{1+sinθ}=4sec θ$

⇒ $\frac{1 + sinθ + 1 - sinθ}{(1-sinθ)({1+sinθ})}=4sec θ$

⇒ $\frac{2}{(1^2-sin^2θ)}=4sec θ$

⇒ ${2sec^2θ}=4sec θ$

⇒ secθ = 2

⇒ θ = 60°

Now,

cot θ + cosec θ = 1/√3 + 2/√3

⇒ 3/√3

⇒ √3

∴ Value of the expression is √3

Given:

89x64287y

Concept used:

Divisibility rule of 9:

If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9

Divisibility rule of 8:

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Calculation:

89x64287y

87y is divisible by 8

So, y = 2

Now,

8 + 9 + x + 6 + 4 + 2 + 8 + 7 + 2 = 46 + x

x = 8

So, 3x + 2y = 3 × 8 + 2 × 2 = 24 + 4 = 28

∴ The value of (3x + 2y) is 28

Given:

AB = 12 cm

AC = 15 cm

BC = 18 cm

Concept used:

The angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Calculations:

The length of BC is, 

BC = BD + DC

⇒ BD = 18 – DC

Using the concept,

⇒ BD/DC = AB/AC

⇒ (18 – DC)/DC = 12/15

⇒ (18 – DC)/DC = 4/5

⇒ 90 – 5DC = 4DC

⇒ 9DC = 90

⇒ DC = 10 cm

∴ The length of DC is 10 cm

Given:

Speed of the train = 48 km/h

Speed of the man = 12 km/h

Concept used:

km/h × 5/18 = m/sec

Concept of relative speed

Calculation:

Relative speed for 1st case = 48 - 12 = 36 km/h

Speed m/sec = 36 × 5/18 = 10 m/sec

So, length of the train = 18 × 10 = 180 m

Now,

In 2nd case

Speed = 180/12 = 15 m/sec

Speed in km = 15 × 18/5 = 54 km/h

Speed of the woman = 54 - 48 = 6 km

∴ The speed of the woman is 6 km/h

The correct answer is 'Incandesent.'

Key Points

• Let us explore the options:-
• 'Inconclusive' means not leading to a definite decision or result. (जो निश्चित निर्णय या परिणाम की ओर न ले जाए; अनिश्‍चायक, अनिर्णायक)
• 'Impeccable' means without any mistakes or faults; perfect. (निर्दोष, त्रुटिहीन; परिपूर्ण)
• 'Incandesent': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Incandescent' and it means extremely bright. (अत्यधिक चमकीला)
• 'Impervious' means not affected or influenced by something. (जिस पर किसी बात का असर नहीं होता या जो किसी के असर में नहीं आता; अप्रभावनीय)
  

Hence, the correct answer is option 3.

Additional Information

• Example of 'Incandescent' in a sentence:
• ​**To preserve your eyesight, you should avoid looking directly at the incandescent sun.

The correct answer is 'BADC.'

Key Points

• The sentence 'B' is independent of any other sentence as it is giving general information about "a bull bitten by a mouse". Hence, 'B' is the first part.
• Sentence A will come after B as it is telling that the mouse reached safely in his hole after biting the bull.
• Sentence D will come after A as it is explaining what the bull had done to catch the mouse.
• The sentence 'C' is the concluding part because it is telling how the mouse again succeded in biting the bull.
  

Paragraph after rearranging the sentences: A bull was bitten by a mouse, and, pained by the wound, tried to capture him. The mouse, however, reached his hole in safety. The bull dug into the walls with his horns until wearied, he crouched down and slept by the hole. The mouse, peeping out, crept up his flank and, again biting him, retreated to his hole.

Hint

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.
  

Hinglish

• वाक्य 'B' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "एक चूहे द्वारा काटे गए बैल" के बारे में सामान्य जानकारी दे रहा है। अतः 'B' पहला भाग है।
• वाक्य A, B के बाद आएगा क्योंकि यह बता रहा है कि चूहा बैल को काटने के बाद अपने छेद में सुरक्षित पहुंच गया।
• वाक्य D, A के बाद आएगा क्योंकि यह बता रहा है कि बैल ने चूहे को पकड़ने के लिए क्या किया है।
• वाक्य 'C' समापन भाग है क्योंकि यह बता रहा है कि कैसे चूहे ने फिर से बैल को काटने में सफलता प्राप्त की।

The correct answer is 'Shine.'

Key Points

• The given word 'Shimmer' means to shine with a soft light that seems to be moving. (हिलने का आभास देते हुए कोमल प्रकाश के साथ चमकना; झिलमिलाना)
• Example: Soft light beginning to shimmer on the still water.
• ​Let's see the meaning of other given options:-
• 'Quake' means to shake. (काँपना)
• Example: The explosion made the whole house quake.
• 'Shake' means to move somebody or something from side to side or up and down with short, quick movements. (हिलना, हिलाना)
• Example: Shake the bottle well before use.
• 'Shine' means to reflect light; to be bright. (चमकाना या चमक बिखेरना; चमकना)
• Example: I shine like a star in the sky.
• 'Shiver' means to shake slightly, especially because you are cold or frightened. (ठिठुरना, काँपना)
• Example: A sudden gust of cold wind made her shiver.
  

Hence, the correct answer is option 3.

Additional Information

• The synonyms of the word 'Shimmer' are "Shine, Glow, Glare".
• The antonyms of the word 'Shimmer' are "Dimness, Cloudiness, Dullness".

The correct answer is 'Brood.'

Key Points

• Let's see the meanings of the given words-
• Offspring - A child or children; the young one of an animal. (संतान या संतानें; पशु का शावक या बच्‍चा)
• Litter - Pieces of paper, rubbish, etc. that are left in a public place. (सार्वजनिक स्‍थल पर जमा कूड़ा-कचरा)
• Kids - Children or young people. (बच्चे)
• Brood - All the young birds that belong to one mother. (एक ही मादा पक्षी के एक ही बार में दिए सब बच्‍चे)
  

​

Hence, the correct answer is option 4.