SSC CGL Previous Paper (Held On: 7 March 2020 Shift 2) (Previous Year Paper)

The pattern followed is,

Option 1 → 27: 85 → 27 × 3 + 4 = 85

Option 2 → 33: 109 → 33 × 3 + 10 = 109

Option 3 → 44: 136 → 44 × 3 + 4 = 136

Option 4 → 30: 94 → 30 × 3 + 4 = 94

All follow the same pattern, except ‘33: 109’.

Hence, “33: 109” is different from the rest.

The pattern followed is,

Hence, “67” is the correct answer.

Minute is the measurement of time.

Litre is used to measure liquids.

Kilogram is used to measure mass.

Whereas,

Distance is the length of space between two points.

Hence, “distance” is the odd word.

Note: Multiple of 400 years i.e. 800, 1200, 1600, 2000 have 0 odd days.

Calculating leap year: For Finding number of leap year (1-99)yr, divide the number of years by 4 and the quotient will be the number of leap year.

Code for week days

Total odd days = 0 +  2 + 5 + 3 = 10 days = 1 week + 3 odd days

3 is the code for "Wednesday"

Hence, “Wednesday” is the correct answer.

Diabetes is a condition that impairs the body's ability to process blood glucose, otherwise known as blood sugar.

Similarly,

A state in which there is abnormal blood pressure is called hypertension.

Hence, “blood pressure” is the correct answer.

According to the given figure,

‘1’ and ‘6’ face each other.

‘3’ and ‘5’ face each other.

And,

‘2’ and ‘4’ face each other.

Among the ones in the given options,

‘2’ and ‘4’ face each other is correct.

Hence, “2 and 4” is the correct answer.

The pattern followed is,

1. The last two letters move to the first two positions; also, these letters interchange their positions among themselves.

PERSONA → ANPERSO

2. The last two letters move to the third and fourth positions; these letters interchange their positions among themselves.

ANPERSO → ANOSPER

3. The last two letters move to the fifth and sixth positions; these letters interchange their positions among themselves.

ANOSPER → ANOSREP

Hence, “ANOSREP” is the correct answer.

The given figure is embedded in,

Hence, option 1 is the correct answer.

The number of triangles in the given figure is,

Hence, “19” is the correct answer.

The pattern followed here is,

The circle is moving in a clockwise direction to the corner at every step.

The Square is moving left and right in the top position.

Whereas,

The compressed diamond symbol is moving half of the sides in the anti-clockwise direction.

The figure which will come next in the pattern is,

Hence, option 4 is the correct answer.

The pattern followed is,

For Column 1:

(14 × 4) - 7 = 49

(49 × 4) - 7 = 189

For Column 2:

(17 × 4) - 7 = 61

(61 × 4) - 7 =237

For Column 3:

(22 × 4) - 7 = 81

(81 × 4) - 7 = 317

Hence, “81” is the correct answer.

The pattern followed is,

Similarly,

Hence, “WRKTAV” is the correct answer.

The paper when unfolded will look like,

Hence, option 4 is the correct answer.

By decoding given information:

27 A 8 B 5 C (11 C 3) B 5 C 36 D 6

27 – 8 × 5 + (11 + 3) × 5 + 36 ÷ 6

Using BODMAS rule,

27 – 8 × 5 + 14 × 5 + 36 ÷ 6

27 – 8 × 5 + 14 × 5 + 6

27 – 40 + 70 + 6

103 – 40 = 63

Hence, “63” is the correct answer.

Drawing the Venn diagram,

Conclusion 1: No toy is a game → False (Possible but Not Definite)

Conclusion 2: No pen is a game → False (This is definitely false)

Conclusion 3: Some toys are games → False (Possible but Not Definite)

But, conclusion 1 and conclusion 2 form a complimentary pair.

Hence, “either conclusion 1 or conclusion 3” follows.

The pattern followed is,

(45, 24, 441)

45 – 24 = 21

21² = 441

Option 1 → (30, 60, 1024)

60 – 30 = 30

30² = 900, not 1024

Option 2 → (41, 18, 630)

41 – 18 = 23

23² = 529, not 630

Option 3 → (50, 30, 480)

50 – 30 = 20

20² = 400, not 480

Option 4 → (35, 17, 324)

35 – 17 = 18

18² = 324

‘(35, 17, 324)’ is related in the same way as are the numbers in the given set.

Hence, “(35, 17, 324)” is the correct answer.

Tamarind comes first in the order.

It is followed by Temper.

Temper is followed by Temple.

Temple is followed by Tenacity.

Tenacity is followed by Tender.

The correct dictionary order is,

Tamarind (3) → Temper (1) → Temple (2) → Tenacity (5) → Tender (4)

Hence, option 2 is the correct answer.

The correct mirror image of the given alphanumeric-cluster when a vertical mirror is placed on the right side of the cluster is,

Hence, option 1 is the correct answer.

The pattern followed is,

11: 265 → 11: 112  + (11 + 1)2  

⇒ 11 : 121 + 144

⇒ 11 : 265

Similarly,

20 : ? → 20 : 202  + (20 + 1)2  

⇒ 20 : 400 + 441

⇒ 20 : 841

‘841’ is related to the third number in the same way as the second number is related to the first number.

Hence, “841” is the correct answer.

From the above diagrams we can say that,

Drawing the diagrams,

(1) Q – Z ÷ U × K

This is not correct, because the last condition U × K is not satisfied.

(2) Q – Z × U ÷ K

This satisfies the condition.

(3) K – Z ÷ U × Q

This is not correct, because the condition U × Q is not satisfied.

(4) K – U ÷ Z × Q

This is not correct because, the condition Z × Q is not satisfied.

‘Q – Z × U ÷ K’ represents that ‘U is the daughter of Q’.

Hence, option 2 is the correct answer.

The pattern followed is,

Hence, “L” is the correct answer.

Office is a place where work is done.

Similarly,

Option 1 → Doctor, but not director is the one who works in the hospital.

Option 2 → House is made of bricks.

Option 3 → Lawyer works in the court.

Option 4 → School is a place to study.

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

Hence, “school: study” is the correct answer.

The pattern followed is,

All follow the same pattern, except ‘NOSV’.

Hence, “NOSV” is the correct answer.

The pattern followed is,

For SOLID,

The place value of S is 19

The place value of O is 15

The place value of L is 12

The place value of I is 9

The place value of D is 4

SOLID → 19 + 15 + 12 + 9 + 4 = 59

59 + 5 = 64( we added 5 because there are 5 letters in SOLID)

SOLID is coded as 64

For POUR,

The place value of P is 16

The place value of O is 15

The place value of U is 21

The place value of R is 18

POUR → 16 + 15 + 21 + 18 = 70

70 + 4 = 74( we added 4 because there are 4 letters in POUR)

POUR is coded as 74

Similarly,

For TON,

The place value of T is 20

The place value of O is 15

The place value of N is 14

TON → 20 + 15 + 14 = 49

49 + 3 = 52

TON is coded as 52

Hence, “52” is the correct answer.

Girls can be accountants as well as internet users.

The correct Venn diagram representation is,

Hence, option 4 is the correct answer.

Option 2 is correct, i.e. William Dalrymple.

• William Dalrymple is the author of the book titled 'The Anarchy: The East India Company, Corporate Violence, and the Pillage of an Empire'.
• He is a Scottish historian and writer.
• He is one of the co-founders of the annual Jaipur Literature Festival.
• He was awarded the President's Medal of the British Academy in 2018.

Extra facts:

• Books by Shashi Tharoor: Pax Indica: India and the World of the 21st Century, An Era of Darkness: The British Empire in India, Nehru: The Invention of India, etc.
• Books by VP Menon: The Story of the Integration of the Indian States, The Transfer of Power in India, etc.
• Books by Pankaj Mishra: Age of Anger, An End to Suffering, The Romantics, etc.

Option 3 is correct, i .e. Lathi.

• Lathi-
• Lathi martial art form is practiced in the state of Punjab and West Bengal.
• As the name suggests, it is performed with sticks and fighting/defending with it.

Extra facts:

• Mardaani Khel is from Maharastra. It is performed with Patta and vita.
• Kalaripayattu is from Kerala.
• Thang-ta is from Manipur. It is armed combat.

Option 1 is correct, i.e. Estuary.

• The tidal mouth of a river where fresh and saline water gets mixed is known as an Estuary.
• There are four different kinds of estuaries
• Coastal plain estuaries
• Tectonic estuaries
• Bar-built estuaries
• Fjord estuaries.
• Gorge- It is a deep and narrow valley with very steep sides. A river passes through Gorge in mountains.
• Archipelago- It is a group of islands. Generally, the islands are scattered and closely clustered.

Option 2 is correct, i.e. Deficit Financing.

Key Points

• A situation where the expenditure of the government exceeds its revenue is known as Deficit Financing.
• In the case of Deficit Financing, the government has to either borrow or look for other means to cover the expenditure.
• As per the National Planning Commission of India, ‘deficit financing’ term is used to denote the direct addition to gross national expenditure through budget deficits.
• The deficits can be met by raising the rates of taxation. It can also be done by increasing the price of public utility services.
• There can be many deficits- Budget deficit, Revenue deficit, Fiscal Deficit, Monetized Fiscal Deficit, etc.

Option 4 is correct, i.e. 1527.

• The battle of Khanua (Khanwa) took place between Babur and the Rajput forces led by Rana Sanga in 1527.
• It was fought between Rana Sanga and Mughals.
• Rana Sanga was the Indian ruler of Mewar.
• The Mughals won the Battle of Khanwa.

Extra facts:

• 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.

Option 2 is correct, i.e. 1932.

• The Third Round Table Conference took place in 1932.
• Labour Party, Gandhi, and INC did not attend this Conference.
• A Joint Select Committee was formed to analyze the recommendations of the Third Round Table Conference and formulated a new Act for India which was later enforced as the Government of India Act of 1935.

Extra facts:

• The First Round Table Conference was convened in 1930.
• The Second Round Table Conference was convened in 1931 and it was kind of a settlement between Mahatma Gandhi and Viceroy Lord Irwin to discontinue the Civil Disobedience Movement.

Option 2 is correct, i.e. Washing soda.

• Washing soda:
• It is used for removing the permanent hardness of the water.
• The hardness in water can be caused by the presence of the chlorides, nitrates, and sulphates of calcium and magnesium.
• These do not precipitate by boiling water. Hence, Washing Soda is used.
• Washing Soda is known as Sodium Carbonate.
• The formula for washing soda can be given as Na₂CO₃.

Extra facts:

• Baking soda:
• It is known as Sodium Bicarbonate.
• The formula for baking soda can be given as NaHCO₃.
• It is more often used in a cooking recipe.
• Bleaching powder:
• It is Calcium hypochlorite.
• Its formula can be given CaOCl₂.
• It is used as an oxidizer in many industries and as a disinfectant to make potable water.

Option 1 is correct, i.e. Chickenpox.

• Chickenpox:
• It is caused by a virus named 'Varicella-zoster'.
• It develops rashes and blisters on the skin and highly contagious to someone who is not vaccinated.

​Extra facts: 

• Cholera: 
• It is caused by Vibrio cholerae, which is bacteria.
• It can be spread through contaminated water.
• Rabies:
• It is caused by the rabies virus.
• It can be spread through the saliva of infected animals.
• It can also be transmitted through an animal bite.
• Polio:
• It is caused by poliovirus.
• It can cause nerve injury leading to paralysis.
• It can be transmitted through contaminated food and water.

Option 4 is correct, i.e. NITI Aayog.

• NITI Aayog launched the Agricultural Marketing and Farmer Friendly Reforms Index (AMFFRI) in 2016.
• NITI Aayog had identified three key areas for reform in 2016-Agricultural market reforms, Land lease reforms and Reforms related to forestry on private land – felling and transit of trees.
• The Index is based on the implementation of seven provisions proposed under the model APMC(Agricultural Produce & Livestock Market Committee) Act.
• The indicators represent competitiveness, efficiency, and transparency in agricultural markets.
• The Index has a score from minimum value “0” implying no reforms and maximum value “100” implying complete reforms.

Extra facts:

• NITI Aayog Chairman: Narendra Modi (Prime Minister)
• NITI Aayog CEO: Shri B.V.R. Subrahmanyam

Option 2 is correct, i.e. 148.

• Article 156- Term of office of Governor
• Article 148- Provisions of Comptroller and Auditor General of India
• Article 352- Proclamation of Emergency
• Article 280- Provisions of Finance Commission.

Option 2 is correct, i.e. Dal Lake.

• The world's only floating post office is situated on Dal Lake. It is in Srinagar.
• It is built on a houseboat and moored on the western edge of the Dal Lake.
• It was inaugurated in 2011 by Omar Abdullah along with Sachin Pilot.
• Regular postal services are available there.
• The seal used for the Floating Post Office is unique.

Extra facts:

Option 4 is correct, i.e. Guwahati.

• The Khelo India Youth Games, 2020 were held at Karmabir Nabin Chandra Bordoloi Indoor Stadium in Guwahati.
• It was the third edition of the game.
• The event was organized by the Ministry for Youth Affairs and Sports in partnership with the School Games Federation of India, Indian Olympic Association, and Assam State government.

Extra facts:

• Mascots: Vijay the Tiger and Jaya the Blackbuck.
• Maharastra finished first in the event comprising 78 gold, 77 silver, and 101 bronze.

Option 4 is correct, i.e. Sri Lankan.

• The nationality of Gotabaya Rajapaksa is Sri Lankan.
• He is the former President of Sri Lanka.
• He had also served as the Secretary to the Ministry of Defence and Urban Development in Sri Lanka.

Extra facts:

• Sri Lanka Capital- Sri Jayawardenepura Kotte
• Currency- Sri Lankan Rupee
• President- Ranil Wickremesinghe.

Option 2 is correct, i.e. Robert Hooke. 

Key Points

• Robert Hooke discovered cells in the human body.
• He discovered it in 1665.
• He looked at a sliver of cork through a microscope lens and hence, discovered cells.

Extra facts:

• Albert Einstein is known for his "Theory of General Relativity and Theory of Special  Relativity".
• Herbert Spencer is known for his doctrine of Social Darwinism.
• Charles Darwin gives the natural theory of evolution by natural selection.

Option 1 is correct, i.e. Sudraka.

• Sudraka wrote the play 'Mricchakatika' (The Little Clay Cart), a social drama with touches of grim reality.
• It is written in Sanskrit in the 2nd century BCE.
• There is a character-Charudatta of Pataliputra, a young man and Vasantasena, his love.
• There is also a royal courtier who is also interested in Vasantasena.
• There are thieves and mistaken identities that make it funny.

• Apharan is the name of the anti-hijacking exercise conducted by the Indian Navy in collaboration with the Indian Coast Guard.
• It was conducted by the Indian Navy, Indian Coast Guard, and Cochin Port Trust and other concerned stakeholders in Kerala.
• The exercise was aimed at streamlining the response mechanism and preparedness to prevent any attempt by Anti-National Elements.
• The exercise identified gaps and formulated an integrated Crisis Management Plan for Kochi Port.
• It was conducted under Commander-in-Chief, Coastal Defence, Kerala.
• The Exercise code-named “Apharan” saw the participation of multiple agencies, including more than 12 ships and helicopters of the Indian Navy, Indian Coast Guard, and Cochin Port Trust.

Option 1 is correct, i.e. Typhoid fever.

• Typhoid fever: 
• It can be diagnosed with the Widal test.
• Widal test is named after Georges-Fernand Widal (inventor).
• The test detects agglutinating antibodies against the O and H antigens of Salmonella Typhi Bacteria.

Extra facts: 

• To diagnose Tuberculosis, a blood test is sufficient to find the bacteria.
• AIDS can be diagnosed by ELISA-Enzyme-Linked Immunosorbent Assay.
• The study of Cancer is Oncology.

Option 3 is correct, i.e. The Eastern part of India.

• The Patkai Bum hills are located in the Eastern part of India.
• Assam, Manipur, Meghalaya, Mizoram and Nagaland. are along the Patkai range.
• Pat-kai means "to cut chicken" in Tai Ahom language.
• Through the Patkai mountain range, the Dehing river flows down. to meet the Brahmaputra in the Sivasagar district of Assam.
• The Patkai Range consists of 3 hills - The Patkai-Bum, the Garo-Khasi-Jaintia, and Lushai Hills.
• The Patkai hills are part of Purvanchal hills in the North-Eastern part of India.
• Patkai Range is the hills on India’s North-Eastern border touched with Burma.
• The Patkai range extends from Nagaland, Meghalaya, Mizoram, and Manipur.

Option 4 is correct, i.e. Virat Kohli.

• Virat Kohli won the ‘ICC (International Cricket Council) Spirit of Cricket, 2019’ award.
• Virat Kohli has been awarded for urging fans not to boo Steve Smith and let him play during ICC World Cup 2019.
• He is the captain of the Indian Cricket team.
• During ICC World Cup 2019, he urged the public, not to boo Steve Smith.
• ICC ODI Captain of the Year 2019-  Virat Kohli
• ICC Test Captain of the Year 2019- Virat Kohli

Extra facts:

• Women’s ODI Cricketer of the Year 2019- Ellyse Perry
• Sir Garfield Sobers Trophy for Cricketer of the Year 2019- Ben Stokes
• Twenty-20 Performance of the Year 2019- Deepak Chahar

Option 4 is correct, i.e. Second Schedule – Languages.

• First Schedule – The states and the union territories
• Second Schedule- Emoluments for holders of constitutional offices
• Third Schedule – Forms of oath or affirmations
• Fourth Schedule – Allocation of seats in the council of states
• Fifth Schedule-Administration and Control of Scheduled Areas and Scheduled Tribes.
• Sixth Schedule-Provisions as to the Administration of Tribal Areas in the States of Assam, Meghalaya, Tripura, and Mizoram.
• Seventh Schedule-Union list, State list, and the concurrent list.
• Eighth Schedule-list of recognized languages.
• Ninth Schedule- Land Reform Laws
• Tenth Schedule-disqualification on the ground of defection.
• Eleventh Schedule-powers, authority, and responsibilities of Panchayats.
• Twelfth Schedule-powers, authority, and responsibilities of Municipalities.

Option 1 is correct, i.e. Bengaluru.

• The 107th edition of the Indian Science Congress was held in Bengaluru.
• It was inaugurated by Prime Minister Narendra Modi.
• Theme: “Science and Technology: Rural Development”.
• The aim was to bridge the gap between farmers and tech-developers to work on new innovations.
• There were 28 Plenary Sessions that included Climate Smart Agriculture for Food Security, Materials Science, And Technology For Rural Development, Non-Communicable Diseases In Rural Population as well as Cancer Research - Therapeutic Applications, etc.
• The status, challenges, opportunities, and scope were discussed in the event.

Option 2 is correct, i.e. Mezban Patel.

• Mezban Patel was NOT a recipient of the Arjuna Awards in 2019.
• Arjuna Awards is given by the Ministry of Youth Affairs and Sports to recognize and appreciate outstanding achievement in National Sports.
• This award was constituted in 1961.
• Cash Prize: Rs. 5,00,000.

Extra facts:

• There were 19 Arjuna Awards Winners for 2019.
• Poonam Yadav is from Cricket.
• Ravindra Jadeja is from Cricket.
• Swapna Burman is from Athletics.

Note: Merzban Patel (from Hockey) won the Dronacharya award in 2019.

Option 1 is correct, i.e. T. Prakasam.

• T. Prakasam was known as 'Andhra Kesari'.
• He was the freedom fighter.
• He was a member of the Constituent Assembly.
• He was the Chief Minister of the new Andhra Pradesh state that was formed after the partition of Madras State along linguistic lines.

Extra facts:

• Mahatma Gandhi - Father of the Nation
• Khan Abdul Ghaffar Khan-Frontier Gandhi
• Chittaranjan Das- Deshbandhu

Option 1 is correct, i.e. The measurable unit of pressure is denoted in Metre.

• Pressure:
• The measurable unit of pressure is denoted in Pascal and not in Metre.
• One Pascal is equal to one Newton per square meter.
• The pressure is nothing but the force per unit area applied in the direction perpendicular to the surface.

Extra facts:

• The matter is made up of small particles called atoms, which are further made up of electrons, protons, and neutrons.
• Brass is an alloy of 30% zinc and 70% copper. It is resistant to corrosion.
• Evaporation causes cooling- When the liquid is converted into gas, the molecules absorb the energy, giving a cooling effect.

Option 1 is correct, i.e. Bhagat Singh.

• Bhagat Singh was NOT associated with the revolt of 1857.
• Bhagat Singh was a freedom fighter in the revolution against Britishers. He founded the 'Naujavan Bharat Sabha'. He also joined the Hindustan Republican Association.
• The revolt of 1857 was against the British East India Company and their ruling.

Extra facts:

• Mangal Pandey is said to have started the revolt in Barakpore, Kolkata.
• Kunwar Singh belonged to the Ujjainiya clan of Jagdispur (now in Bihar).
• Begum Hazrat Mahal led the Revolt in Lucknow.

Let the cost price of the article be Rs. 100

MP of the article = 100 × (115/100) = Rs. 115

SP of the article = 115 × (3/4) = 345/4

For easy calculation

Ratio of CP to SP = 100 : 345/4 = 400 : 345

Loss = 400 - 345 = 55

Loss percentage = 55/400 × 100 = 13.75%

Short Trick:

Loss percentage = - 25 + 15 - (25 × 15/100) = -10 - 3.75 = -13.75

Let two equal sides of a triangle be x and third side is 18

Perimeter of the triangle = 50

x + x + 18 = 50

⇒ 2x = 50 - 18

⇒ 2x = 32

⇒ x = 32/2

⇒ x = 16

The length of the equal sides is 16.

$9\frac{3}{8}\% =\frac{75}{8}\% = \frac{3}{{32}}$

Let the income of Anu = Rs. 100

Expenditure of Anu = 100 × 68/100 = 68

Savings of Anu = 100 - 68 = 32

New income of Anu = 100 × 120/100 = 120

New savings of Anu = 32 × 35/32 = 35

New expenditure of Anu = 120 - 35 = 85

Her expenditure increased by = 85 - 68 = 17

Her expenditure increased by (in %) = 17/68 × 100 = 25%

If 7 divides a positive integer n, the remainder is 2.

Let the number be n = 9, (condition satisfied)

If 9 + 5, then number become 14, which is divisible by 7.

n + 5 is correct option.

The total number of employees in 2018 = 1000 + 160 + 70 + 146 = 1376

The total number of employees in 2019 = 1010 + 150 + 75 + 150 = 1385

So the maximum employees in 2019.

As we know,

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

⇒ 1250 = P (1 + r/100)¹          ---(1)

Again

⇒ 1458 = P (1 + r/100)³          ---(2)

From equation (1) and equation (2)

1458/1250 = [P (1 + r/100)³]/[P (1 + r/100)¹]

⇒ 729/625 = (1 + r/100)²

⇒ √729/625 = 1 + r/100

⇒ 27/25 - 1 = r/100

⇒ r/100 = 2/25

⇒ r = 2/25 × 100

⇒ r = 8%

From equation (1)

1250 = P (1 + 8/100)

⇒ P = 1250 × 25/27

⇒ P = (1250 × 25)/27

Again,

Time = 27/5 and R = 8%

SI = Prt/100

SI = (1250 × 25 × 27 × 8)/(100 × 5 × 27)

SI = 500

${\left( {\frac{x}{3} + \frac{y}{5}} \right)^3}$

$\Rightarrow \frac{{{x^3}}}{{27}} + 3 \times \frac{{\rm{x}}}{3} \times \frac{{\rm{y}}}{5}\left( {\frac{x}{3} + \frac{y}{5}} \right) + \frac{{{y^3}}}{{125}}$

$\Rightarrow \frac{{{x^3}}}{{27}} + \frac{{{x^2}y}}{{15}} + \frac{{x{y^2}}}{{25}} + \frac{{{y^3}}}{{125}}$

If D, E and F are mid-point AB, BC and CA, then DE + EF + DF = 1/2 (AB + BC + CA)

⇒ DE + EF + DF = 1/2 × (12 + 20 + 15) = 47/2

⇒ (DE + EF + DF)/2 = 47/4 = 11.75

As we know,

M₁ × D₁ = M₂ × D₂

⇒ 18 × 35 = 21 × D₂

⇒ D₂ = (18 × 35)/21

⇒ D₂ = 30

Total mobile phone sets sold = 5000

Percentage of mobile phone sets sold more than one year old = 10 + 10 + 70 = 90%

Number of mobile phone sets sold more than one year old = 5000 × (90/100) = 4500

Formula Used:

$\frac{{M1.D1.T1.E1}}{{W1.C1}} = ;\frac{{M2.D2.T2.E2}}{{W2.C2}}$

M is the number of working men

D is the total number of days

T is total hours of working days

E is the efficiency of working men

W is total work

C is the consumption of working men

Calculation:

187 men worked for 65 days working 15 hours per day

And completed 3/5 of the work.

Remaining work,

⇒ 1 – 3/5 = 2/5

Now using the formula,

Let the total men required to complete the job be x.

M1 × D1 × H1/W1 = M2 × D2 × H2/W2

⇒(187 × 65 × 15)/(3/5) = (x × 10 × 17]/(2/5)

⇒ x = 11 × 65

⇒ x = 715

Additional men,

⇒ 715 – 187 = 528 men

∴ Additional man to be employed is 528.

3 sec² θ + tan θ = 7

⇒ Put θ = 45

⇒ 3 sec² 45 + tan 45 = 7

⇒ 3 × 2 + 1 = 7

⇒ 7 = 7 (satisfied)

Now,

⇒ (cosec 2θ + cos θ)/(sin2θ + cot θ)

⇒ (cosec 90 + cos 45)/(sin 90 + cot 45)

⇒ (1 + 1/√2)/(1 + 1)

⇒ (√2 + 1)/2√2

⇒ (2 + √2)/4

Given:

a2 + b2 + c2 = 300

ab + bc + ca = 50 

Calculation:

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

⇒ (a + b + c)² = 300 + 2 × 50

⇒ (a + b + c)² = 300 + 100 = 400

⇒ (a + b + c) = √400 = 20

∴ required value is 20

Given:

x + y + z = 10

xy + yz + zx = 15

Formula used:

x³ + y³ + z³ - 3xyz = (x + y + z) [(x + y + z)² - 3(xy + yz + zx)]

Calculation:

x³ + y³ + z³ - 3xyz

= (x + y + z) [(x + y + z)2 - 3(xy + yz + zx)]

= 10 × [10² - 3 × 15]

= 10 × [100 - 45]

= 10 × 55

= 550

∴ required value is 550

Given,

QS = 6 cm, RM = 3 cm and PN = 2 cm

As we know,

Area of quadrilateral = 1/2 × (PN + RM) × QS

Area of quadrilateral = 1/2 × (2 + 3) × 6 = 5 × 3 = 15 cm²

sinA + cosA/cosA = 17/12

⇒ 12 sin A + 12 cos A = 17 cos A

⇒ 12 sin A = 5 cos A

⇒ sin A/cos A = 5/12

⇒ tanA = 5/12

⇒ tanA = P/B = 5/12

Perpendicular = P, Base = B and Hypotenuse = H

P = 5 and B = 12

H² = P² + B²

⇒ H² = 12² + 5²

⇒ H² = 144 + 25

⇒ H² = 169

⇒ H = √169

⇒ H = 13

sin A = P/H = 5/13

cos A = B/H = 12/13

Now,

⇒ (1 - cos A)/sinA

⇒ (1 - 12/13)/5/13

⇒ (1/13)/(5/13)

⇒ 1/5

From the following figure

⇒ ∠CAQ = 42 and ∠OCQ = 90 [tangent]

⇒ ∠ACO = ∠CAQ = 42

⇒ ∠ACQ = 42 + 90 = 132

In ΔCAQ

∠CAQ + ∠ACQ + ∠CQA = 180

⇒ 132 + 42 + ∠CQA = 180

⇒ ∠CQA = 180 - 174 = 6

Given:

Speed of first train = 110 km/hr

Speed of second train = 140 km/hr

Formula Used:

Time = Distance/Speed

Concept Used:

If two trains are traveling in the same direction

Relative speed = S₁ - S₂

Calculation:

2nd train leaves Varanasi at 11.30 am

Distance covered by 1st train in (1/2) hour = 110/2 = 55 km

⇒ At 11.30 am two trains will be 55 km apart

Relative speed = 140 - 110 = 30 km/hr

Time required to meet = 55/30 = 11/6 hours

Distance covered by 2nd train = (11/6) × 140 = 256(2/3)km

∴ Both trains will meet after 256(2/3) km from Varanasi.

Formula used:-

Area of the circle = πr²

Calculation:-

Let the radius of circle be r cm

New radius of the circle = r × (89/100) = 0.89r

New area of the circle = π (0.89r)² = 0.7921πr²

Ratio of area before to after = πr² : 0.7921πr² = 10000 : 7921

Area decreased by = 10000 - 7921 = 2079

Area decreased by = 2079/10000 × 100 = 20.79

Shortcut Trick

If radius decreased by 11%, then

Area decreased by = 11 + 11 - (11 × 11)/100

⇒ 22 - 1.21 = 20.79

Given:

Perimeter of the rectangle = 50 units

Area of the rectangle = 150 sq. units

Concept:

Area of a rectangle = $l\times b$ 

Perimeter of a rectangle = 2( $l + b$) ,

where $l$ is the length of a rectangle and $b$ is the breadth of a rectangle.

Calculation: 

Here, $l\times b$ = 150 sq units            -----(i)

and  2($l+b$) = 50 units

$\Rightarrow$ $l+b$ = 25

$\Rightarrow$ $b$ = 25 - $l$

Put the value of b in equation (i) , 

  $l$ $\times$ ( 25 - $l$) = 150

$\Rightarrow$ $l^2-25l +150=0$

$\Rightarrow$(l^2-15l-10l+150=0\)

$\Rightarrow$(l(l-15)-10(l-15)\) = 0

$\Rightarrow(l-10)(l-15)=0$

$\Rightarrow l=10; l= 15$

Here, $l=10$, is the shortest root, so the length of the shortest side will be  10 units.

Hence, option (3) is the right answer.

Alternate Method Perimeter of the rectangle = 2(l + b)

2 (l + b) = 50

⇒ (l + b) = 50/2

⇒ (l + b) = 25

Put b = 10 and l = 15, then condition satisfied

Area of the rectangle = lb = 10 × 15 = 150 (satisfied)

18% = 9/50 and 22% = 11/50

Let the Ratio of CP to SP of watch A = 50 : 59          --- (1) × 39

Let the Ratio of CP to SP of watch B = 50 : 39          --- (2) × 59

Total CP of watch A and B = 50 × 39 + 50 × 59 = 1950 + 2950 = 4900

4900 unit = Rs. 800

1 unit = 800/4900

1950 unit = 800/4900 × 1950 = 318.37

CP of watch A = 318.37

CP of watch B = 800 - 318.37 = 481.63

$1\frac{1}{8} \div \left( {4\frac{1}{4} \div \frac{3}{5}of;8\frac{1}{2}} \right) - \frac{2}{5} \times 1\frac{1}{3} \div \frac{4}{5}of;1\frac{2}{3} + \frac{{11}}{{20}}$

$\Rightarrow \frac{9}{8} \div \left( {\frac{{17}}{4} \div \frac{3}{5} \times ;\frac{{17}}{2}} \right) - \frac{2}{5} \times \frac{4}{3} \div \frac{4}{5} \times ;\frac{5}{3} + \frac{{11}}{{20}}$

$\Rightarrow \frac{9}{8} \div \left( {\frac{{17}}{4} \div \frac{{51}}{{10}}} \right) - \frac{2}{5} \times \frac{4}{3} \div \frac{4}{3} + \frac{{11}}{{20}}$

$\Rightarrow \frac{9}{8} \div \left( {\frac{{17}}{4} \times \frac{{10}}{{51}}} \right) - \frac{2}{5} + \frac{{11}}{{20}}$

$\Rightarrow \frac{9}{8} \div \frac{5}{6} - \frac{{8 + 11}}{{20}}$

$\Rightarrow \frac{9}{8} \times \frac{6}{5} + \frac{3}{{20}}$

⇒ 27/20 + 3/20

⇒ 30/20

⇒ 3/2

$\Rightarrow 1\frac{1}{2}$

Let P = x

⇒ A = 2x

SI = 2x - x = x

Time = 13 years

As we know,

SI = Prt/100

⇒ x = (x × r × 13)/100

⇒ r = 100/13

⇒ r = 7.69%

Short Trick:

Let P = 100%

SI for 13 years = 100%

Rate = 100/13 = 7.69%

Total percentage of all seven students in physics = 80 + 90 + 70 + 80 + 65 + 85 + 50 = 520%

Average percentage of all seven students in physics

⇒ (520/7)%

⇒ 520/700

Average marks of all seven students in physics

⇒ (520/700) × 120

⇒ 89.14

∴ The average marks scored is 89.14.

Mistake Points

 Note that,  the tabulation in the question provides the percentage of marks by each student. So, if we go and obtain the average by just adding each value in the table and then dividing it by total the solution will be wrong. We are asked to find the average marks and not the average percentage.

The maximum profit difference between = 690 - 625 = 65 (and base 625 is minimum)

So we can say maximum profit percentage in 2015-2016 compare to previous years.

Detailed Method:

Profit percentage in 2015-2016 = [(690 - 625)/625] × 100 = 10.4%

Profit percentage in 2016-2017 = [(725 - 690)/690] × 100 = 5.07%

Profit percentage in 2017-2018 = [(775 - 725)/725] × 100 = 6.9%

Profit percentage in 2018-2019 = [(815 - 775)/775] × 100 = 5.16%

The correct answer is Option 1.

• Choice: an act of choosing between two or more possibilities
• Possibility: a thing that may be chosen or done out of several possible alternatives.
• Option: a thing that is or may be chosen.
• Alternative: available as another possibility or choice.

The sentence talks about certain spheres of life and no other options suits better than choice.

Other options do not convey the meaning in the context.

The correct answer is Option 3.

• Accurate(adjective): (especially of information, measurements, or predictions) correct in all details; exact.
• Precise(adjective): marked by exactness and accuracy of expression or detail.

Precise is synonymous with accurate.

• Compact(adjective): closely and neatly packed together; dense.
• Capable(adjective): having the ability, or quality necessary to do or achieve a specified thing.
• Erroneous(adjective): wrong; incorrect.

The answer is Option 4 i.e Prosperous

Explanation:

• Let's look at the meaning of the given word and the option:
• Affluent(adjective): having a great deal of money; wealthy. (धनी)
• Prosperous(adjective): successful in material terms; flourishing financially; bringing wealth and success. (समृद्ध)
• ​Here we find that both Affluent and Prosperous express the same meaning.

​

• Let's look at the meaning of other words:
• Impoverished(adjective): (of a person or area) made poor; deprived of strength or vitality. (गरीब)
• Hostile(adjective): showing or feeling opposition or dislike; unfriendly. (विरोधी)
• Authentic(adjective): of undisputed origin and not a copy; genuine. (प्रामाणिक)
• Thus the correct answer is Option 4 i.e Prosperous.

The correct answer is Option 4.

Come to the point means to talk about the issue at once.

It matches with the phrase to speak plainly about the real issue.

Eg: We haven’t got all day, so please get to the point.

No other phrase matches the idiom in the context.

The correct answer is Option 2.

The given sentence is an imperative sentence in Direct speech.

When we convert from direct to indirect speech, the following changes take place:

1. The verb of the reporting verb does not change.
2. Imperative changes in the infinitive form.
3. It is a negative sentence (do not) thus, 'said' changes to 'forbade'. To forbid means not to allow something; order (someone) not to do something.
4. The verb takes the infinitive form 'to take'.

Following the rules of conversion, the indirect speech sentence is: The guard forbade the visitors to take photographs inside the museum.

When we convert a sentence from direct to indirect speech, we make the following changes:

• Quotation marks are omitted and the sentence ends with a full stop.
• The tense of the verb, in the reported speech involving any order, request and instruction does not undergo any change during the conversion from direct to indirect mode. This is also true if the statement is a universal truth.
• If the reporting verb is in the present tense, it does not undergo any change.
• We add the word 'to' before the verb if the verb is in bare infinitive.
• When the reporting or principal verb is in the present tense, all present tenses of the direct are changed into the corresponding past tenses.
• Words expressing nearness in time or place are generally converted into words expressing distance.
  

For eg. now becomes then, today becomes that day, yesterday becomes the previous day, this becomes that, etc.

• In reporting commands and requests, the verb expressing command or request is added and the imperative is changed into the infinitive.
• In reporting questions the verbs like asked, inquired are added
• In reporting exclamations and wishes, the verbs expressing exclamation or wish are added.
• When we convert a sentence from the direct to the indirect mode(especially for a sentence ending with a mark of interrogation), we reverse the subject-verb placement. In direct sentences, we have the verb before the subject; while in indirect, the verb follows the subject.

The correct answer is Option 1.

When we connect the sentences to form a paragraph, it is important to establish a connection between them.

The sentences taken together give an idea about the narrator walking in the garden on a fine spring morning.

• Sentence B is the introduction to the paragraph as it contextually lays the foundation for the topic.
• AD follows as a pair after B. The freshness in the air in a spring morning made the narrator walk towards the garden.
• Sentence C follows D. Upon stepping in the garden, the lush green grass felt like bliss.

Thus the correct order is BADC.

It was a fine spring morning. I took a deep breath and inhaled the air. The freshness in the air drew my feet towards a garden. As soon as I entered the garden, lush green grass welcomed me.

The correct answer is Option 2.

'to be failed' is incorrectly used. It must be replaced with the participle form 'on failing'.

To fail means having a lack of success, shortcoming, weakness.

Thus the correct sentence will be: He was greatly disappointed on failing again.

The correct answer is Option 1.

Euthanasia: the painless killing of a patient suffering from an incurable and painful disease.

Other words mean:

• Genocide: the deliberate killing of a large group of people, especially those of a particular nation or ethnic group.
• Blasphemy: speak irreverently about God or sacred things.
• Altruism: disinterested and selfless concern for the well-being of others.

Thus other options do not match in the context.