SSC CGL Previous Paper (Held On: 11 June 2019 Shift 2) (Previous Year Paper)

As potato is rich in starch,

Similarly,

Stevia is rich in Sugar.

Hence, sugar is the correct answer.

Based on given data, we can draw family tree

Hence, Rukmani’s husband is Brother-in-law of Vijay.

Jupiter, Earth and Mars are name of planets in the Solar System, but Metis is not the name of any planet,

Hence, ‘Metis’ is the odd one out.

In 1^st cube we can see that 4 and 3 are adjacent to 6.

In 2^nd cube we can see that 1 and 4 are adjacent to 6.

If 2^nd cube is put in the position of 1^st the number opposite to 3 is 1.

Hence, 3 is the correct answer.

The pattern followed here is,

(1^st Term + 2^nd Term) ÷ 9 = 3^{rd term}

(50 + 31) ÷ 9 = 9

(43 + 11) ÷ 9 = 6

Similarly,

(42 + 21) ÷ 9 = 7

Hence, 7 is the correct answer.

Hence, figure 3 is the correct answer.

The pattern followed here is,

K + 2 = M;

M+ 2 = O;

O + 2 = Q;

Q + 2 = S;

S + 2 = U;

U + 2 = W;

W + 2 = Y

Hence, ‘Q, W’ is the correct answer.

Hence, figure 1 is the correct answer.

The least possible Venn diagram is as follows,

Conclusions:

I. Some teachers are parents → True, as all parents are teachers, some teachers will definitely be the parents.

II. Some teachers are humans → True, as all humans are parents and all parents are teachers, some teachers will definitely be the humans.

Hence, both the conclusion I and II follow.

The pattern followed here is,

2 + 5 = 7;

7 + 10 = 17;

17 + 15 = 32;

32 + 20 = 52;

52 + 25 = 77

Hence, ‘77’ is the correct answer.

The pattern followed here is,

For 1^st letter of each word, G + 1 = H; H + 1 = I; I + 1 = J; J + 1 = K

For 2^nd letter of each word, Z - 1 = Y; Y - 1 = X; X - 1 = W; W - 1 = V

For 3^rd letter of each word, I + 1 = J; J + 1 = K; K + 1 = L; L + 1 = M

Hence, ‘KVM’ is the correct answer.

Interchanging × and +

12 + 8 ÷ 36 + 3 – 6 = 12 + 22 + 3 - 6

9.22 ≠ 102

Interchanging + and -

12 × 8 ÷ 36 - 3 + 6

= 12 × .22 - 3 + 6

= 5.22 ≠ 102

Interchanging - and ÷

12 × 8 - 36 + 3 ÷ 6

= 96 - 36 + .5

= 60 + .5

= 60.5 ≠ 102

Interchanging ÷ and +

12 × 8 + 36 ÷ 3 - 6

= 12 × 8 + 12 - 6

= 96 + 12 - 6

= 108 - 6

= 102 = 102

Hence, by interchanging ÷ and + we get the correct equation.

The feminine gender of Stag is Doe.

Similarly,

the feminine gender of Bull is Cow.

Hence, cow is the correct answer.

The pattern followed here is,

9 × 9 = 81; 81 + 5 = 86

Similarly,

13 × 13 = 169; 169 + 5 = 174

Hence, 174 is the correct answer.

Let present age of Saksham be x, therefore age of Vishal will be 3x.

Age of Saksham after 8 years = x + 8,

According to the question age of Vishal after 8 years

= 2(x + 8).

And also, age of Vishal after 8 years = 3x + 8.

Comparing Vishal age after 8 years we get,

3x + 8 = 2(x + 8)

3x + 8 = 2x + 16

3x - 2x = 16 - 8

X = 8

Present age of Saksham = 8 years and age of Vishal = 3 × 8 = 24

Hence, Age of Saksham and Vishal after 8 year = 8 + 8 = 16 and 24 + 8 = 32

Age of Saksham and Vishal after 8 more years = 16 + 8 = 24 and 32 + 8 = 40

Hence, '40 years’ is the correct answer.

Mirror image is:

Hence option 4 is the correct answer.

Hence, there are total 32 triangles present in the given figure.

According to the positions of the alphabets in the alphabetical series,

N = 14; 14 × 2 = 28;

ORE = 15 + 18 + 5 = 38; 38 × 2 = 76;

Similarly,

PALE = 16 + 1 + 12 + 5 = 34; 34 × 2 = 68

Hence, 68 is the correct answer.

The pattern followed here is,

6 × 4 = 24; 24 × 4 = 96

7 × 4 = 28; 28 × 4 = 112

13 × 4 = 52; 52 × 4 = 208

Hence, 208 is the correct answer.

The patter followed here is,

Similarly,

Hence, ZTLVHT is the correct answer.

All cups are referred to crockery,

But no table is referred to cup or crockery.

Venn diagram 2^nd depicts the best relation between cup, crockery and table.

Hence, figure 2 is the correct answer.

The pattern followed here is,

In all options except DWKO, alternate letters are opposite to each other according to the English alphabetical series.

Hence, DWKO is the odd one out.

According to the economic prices of the metals, Iron is very cheap metal, and platinum is expensive.

The logical order as per the prices of the metals is as follows,

5. Iron
6. Brass
7. Silver
8. Gold
9. Platinum

Hence, 5, 1, 3, 2, 4 is the correct order.

Hence, figure 3 is the correct answer.

In all pairs of numbers except “9 - 164”, second number is divisible by first number’

Hence, ‘9 - 164’ is the correct answer.

As per Mankiw's Principles of Economics, the standard of living of a country depends on the country's ability to produce goods and services.

Gregory Mankiw in his Principles of Economics outlines Ten Principles of Economics that we will replicate here, they are:

• People face trade-offs
• The cost of something is what you give up to get it
• Rational people think at the margin
• People respond to incentives
• Trade can make everyone better off
• Markets are usually a good way to organize economic activity
• Governments can sometimes improve market outcomes
• A country's standard of living depends on its ability to produce goods and services
• Prices rise when the government prints too much money
• Society faces a short-run tradeoff between Inflation and unemployment.

• Diphu Pass is in Arunachal Pradesh.
• It is located around the area of the disputed tri-point borders of India, Myanmar, and China and is a mountain pass.
• Diphu Pass is also a strategic approach to eastern Assam.
• It lies on the McMahon Line.

Photometer is used to measure the intensity of light produced by an unknown source in terms of a standard source.

• It is an instrument that measures the strength of electromagnetic radiation in the range from ultraviolet to infrared and including the visible spectrum.
• Most photometers convert light into an electric current using a photoresistor, photodiode, or photomultiplier.
• Photometers are used to determine the correct exposure in photography.
• Photometers measure Illuminance, Irradiance, Light absorption, Scattering of light, Reflection of light, Fluorescence, Phosphorescence and Luminescence.

• The longest-serving Prime Minister of Bangladesh is Sheikh Hasina.
• She is a Bangladeshi politician serving as the 10th Prime Minister of Bangladesh, having held the office since January 2009.
• She is the daughter of Bangladesh's first President Sheikh Mujibur Rahman.

Correct Answer Thalaiyar Falls

Key Points:

The Thalaiyar Falls is the 6th highest waterfall in India.

• Thalaiyar Falls also known as Rat Tail Falls is located in the Devadanapatti Dindigul District, Tamil Nadu.
• It is 975 ft (297 m) tall and is the highest waterfall in Tamil Nadu.
• It is the 267th highest waterfall in the world.

Additional Information:

Courtallam Falls:-

• Courtallam is situated at the Western Ghats in Tenkasi District.
• The famous waterfalls on rocks and tiny droplets are sprinkled in the air.
• The water falls of Courtallam have medicinal value as they run through forest and herbs before their decent.
• The Courtallam is called as ‘Spa’ of South India.

Agaya Gangai:-

• Agaya Gangai waterfalls are located in Kolli Hills of the Eastern Ghats, in India.

Suruli Falls:

• Suruli falls is one of the famous falls in Tamilnadu, known for its peerless beauty.
• This falls is situated near Theni district and is visited by many tourists every year.
• This falls is a two-step falls, first section falling from the height of 150 feet.
• It flows down as a small pool, later cascading at the height of 40 feet.

• On 1 November 1956, the States Reorganisation Act redrew India's map along linguistic lines state of Kerala was born, consisting solely of Malayalam-speaking districts.
• The first was E. M. S. Namboodiripad of the Communist Party of India, whose tenure was cut short by the imposition of President's rule.

The Indian badminton player Jwala Gutta won the Canadian Open Women's Doubles title in 2015 along with Ashwini Ponnappa.

• The Indian badminton pair beat the Netherlands pair of Eefge Muskens and Selena Piek.
• In 2019, the Australian badminton pair Setyana Mapusa and Gronya Somerville won this title.

• Three northeastern states of Tripura, Manipur and Meghalaya celebrate their foundation day.
• The erstwhile princely states of Tripura and Manipur were merged with India in October 1949 and became full-fledged states on January 21, 1972.
• Meghalaya was part of Assam before becoming a full-fledged state under the North Eastern Region (Re-Organisation) Act, 1971.
• Hence On 21 January, 1972, the states of Tripura, Manipur, and Meghalaya became full-fledged states under the North Eastern Region (Re-organisation) Act, 1971.

The correct answer is Decibels.

• The ampere (a) is the SI unit of Electric Current. It is named after André - Marie Ampère a, French mathematician and physicist, considered the father of electrodynamics.
• The intensity of sound is measured in units called Decibels.
• The Candela (cd) is the SI unit of luminous intensity. It measures the luminous power per unit solid angle emitted by a point light source in a particular direction. Energy: joule
• Speed: m/s
• Electricity: kilowatt-hour
• The speed of the ship is measured by Knot.

• Kandyan  is a dance form of Sri Lanka.
• Originally only males were allowed train as dancers, there are now several schools which also train women in the Kandyan dance form

Daringbadi hill station is located in the Indian state of Odisha.

• Daringbadi Hill is Kandhamal district of Odisha state in eastern India.
• It is situated at a height of 3000 ft.
• The temperature level of Daringbadi has often been recorded below 0 °C.
• It is also famous for ginger harvesting.

The Patharughat Peasant Uprising against the tax policies of the British in 1894.

• Patharughat is a place in Assam and currently known as Patharighat.
• It is one of the revenue circles in Darrang District.
• The place is famous for the event of 1894, popularly known as Patharughatar Ran (Battle of Patharughat).
• On 28 January 1894, some 140 peasants were killed here in an unprovoked police firing.
• Patharighat is known as Assam's Jallianwala Bagh.

India of My Dreams’ book is written by Mahatma Gandhi.

Long after the decline of the Roman Empire's sea-borne trade with India, the Portuguese were the next Europeans to sail there for the purpose of trade, first arriving by ship in May 1498. Vasco da Gama was the first Portugese to come to India.

Deepika Kumari won the gold medal in the women's recurve event at the 2018 Hyundai Archery World Cup.

• Deepika Kumari beat Germany's Michelle Kroppen.

Bombayla Devi Laishram:-

• She has won a silver medal at the World Archery Championships.

Chekrovolu Swuro:-

• She was a member of the silver medal-winning team in the 2011 World Archery Championships held at Turin, Italy.

Dola Banerjee:-

• She won Gold Medal in Women's Team Recurve with Deepika Kumari and L Bombayala Devi.

• Gujarat and Jharkhand were the first and second states to implement 10% quota for the economically weak.
• Union cabinet approved the sanction of Rs 4315.15 crore for the 158 Central Educational Institutions for implementation of reservation in admission to students belonging to Economically Weaker Section (EWS).
• Over 2 lakh additional seats will be created in 158 CEIs across the country to implement 10% reservation for the Economically Weaker Section (EWS).

• Edward Jenner was a scientist and physician who is credited for developing the world's first vaccine, the smallpox vaccine in 1796.
• John Hunter: He was a teacher of, and collaborator with, Edward Jenner, pioneer of the smallpox vaccine.
• Alexander Fleming discovered Penicillin in 1928.
• Louis Pasteur:  He showed that food spoils because of microorganisms and invented pasteurization. He also came up with a rabies vaccine.

Kazi Nazrul Islam is the national poet of Bangladesh.

• He was a Bengali poet, writer, musician and anti-colonial revolutionary.
• he produced a large body of poetry and music with themes that included religious devotion and rebellion against oppression.
• He joined the British Indian Army in 1917.
• Nazrul wrote and composed about 4,000 songs, known collectively as Nazrul Geeti.
• He also awarded with Padma Bhushan in 1960.

The chemical name of Baking Soda is Sodium Hydrogen Carbonate(NaHCO₃).

• Baking soda is also known as cooking soda.
• Its appears a fine powder form.
• It has a slightly salty, alkaline taste resembling that of washing soda (sodium carbonate).

Calcium Hydroxide:-

• Calcium hydroxide is an inorganic compound with the chemical formula Ca(OH)₂.

Sodium Carbonate:-

• Sodium carbonate, Na₂CO₃, (also known as washing soda, soda ash and soda crystals) is the inorganic compound with the formula  Na2CO3.

When the output is equal to zero, the variable cost is zero.

• Variable costs are those that depend on the level of output.
• The fixed costs are those that are present even when production is zero, and therefore the variable cost is zero when output is zero.

• Assam Chief Minister, Sarbananda Sonowal launched the 'Parents Responsibility and Norms for Accountability and Monitoring' (PRANAM) Commission in Guwahati on February 26, 2019.
• It is a panel set up to look after the issues concerning a Bill, for protection of parents of state government employees.
• It is an effort to protect elderly parents of government employees in their times of need.

MC Mary Kom became the World No 1 Boxer in the International Boxing Association’s (AIBA) World Rankings.

She is also the only woman boxer to have won a medal in each one of the seven world championships.

She is also the first Indian woman boxer to win gold at the 2018 Commonwealth Games.

 Mary was awarded the Padma Bhushan in 2013. She is also the recipient of the Padma Shri (2006), Arjuna Award (2003), and the Rajiv Gandhi Khel Ratna award (2009).

• Mary Kom was placed by AIBA at top of the charts in the 45-48 kg category weight division with 1700 points.
• Mary Kom is an Indian Olympic boxer from Manipur.

• India-born Indra Nooyi is the Chief Executive Officer (CEO) of PepsiCo in the year 2006.
• The Chief Executive Officer (CEO) of JP Morgan India as of February 2018 is Kalpana Morparia.
• Kiran Mazumdar-Shaw is a chairperson and managing director of Biocon Limited, a biotechnology company based in Bangalore, India and the chairperson of Indian Institute of Management, Bangalore.
• Ms Kochhar assumed charge as MD and CEO of ICICI Bank on May 1, 2009, and resigned in October 2018.ICICI Bank terminated the contract of former managing director and CEO Chanda Kochhar for violating the bank’s code of conduct.

According to Pascal's Law, the pressure is equal to the force divided by the area on which it acts. Pascal's Law:- Pascal's Law is a principle in fluid mechanics given by Blaise Pascal that states that a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.  Blaise Pascal was a French Mathematician.

• Newton's Law:- Newton's Law based on the law of motion.
• Stefan-Boltzmann Law:- The Stefan–Boltzmann law describes the power radiated from a black body in terms of its temperature.
• Hooke's Law:-  Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance x scales linearly with respect to that distance.

Yuan Shikai became the first official president of the Republic of China in 1912.

• He was the Emperor of China.

Li Xiannian:-

• He was the President of the People's Republic of China between 1983 and 1988.

Hu Jintao:-

• He was also President of the People's Republic from 2003 to 2013.

Yang Sangkun:-

• Yang Shangkun was President of the People's Republic of China from 1988 to 1993.

​https://www.britannica.com/biography/Yuan-Shikai

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

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

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

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

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

⇒ 7.2 + (8.4 ÷ 0.12 × 0.2) - 5 × 3 ÷ 0.05 + 3

⇒ 7.2 + (70 × 0.2) - 5 × 60 + 3

⇒ 7.2 + 14 - 300 + 3

⇒ 24.2 - 300

⇒ -275.8

Without stoppage average speed = 72 km/h

With stoppages average speed = 60 km/h

As we know,

Time of rest per hour equal to the difference in average speed divided by the speed without stoppage.

Required time = [(72 - 60)/72] × 60 = 10

So, A train stops on an average 10 minute/hr

Given, ∠BAC = 18°

⇒ ∠ACB = 90° [Angle in a semicircle is 90°]

In ΔACB

⇒ ∠ACB + ∠CBA + ∠BAC = 180°

⇒ ∠CBA = 180° - 90° - 18° = 72°

⇒ ∠DCA = ∠CAB = 18° [Alternate interior angle]

⇒ ∠DCA = ∠ABD = 18°            and ∠CAD = ∠DBC

∵ Two inscribed angles forming the same arc or forming two equal arcs are equal

⇒ ∠CBA = ∠DBC + ∠ABD

⇒ 72° = ∠DBC + 18°

⇒ ∠DBC = 72° - 18° = 54°

⇒ ∠CAD = ∠DBC = 54°

Given, AB = 6 cm, PB = 5 cm, PD = 4 cm

Let the length of CD be x, PA = (5 + 6 = 11) and PC = (4 + x)

As we know,

PB × PA = PD × PC

⇒ 5 × 11 = 4 × (4 + x)

⇒ (4 + x) = 55/4

⇒ (4 + x) = 13.75

⇒ x = 13.75 - 4 = 9.75 cm

Radii of two circular faces of the frustum of a cone are 5 cm and 4 cm

Height of the circular frustum of cone H = 21 cm

As we know,

Volume of the frustum of cone = 1/3 × π [R² + r² + Rr] H

⇒ 1/3 × 22/7 × [5² + 4² + 5 × 4] × 21

⇒ 22 × [25 + 16 + 20]

⇒ 22 × 61

⇒ 1342

⇒ cosec θ = hypotenuse/perpendicular = 13/12

⇒ Using Pythagoras theorem

⇒ (Hypotenuse)² = (Base)² + (Perpendicular)²

⇒ 13² = (base)² + 12²

⇒ Base = √(169 - 144) = 5

⇒ sin θ + cos θ - tan θ

⇒ 12/13 + 5/13 - 12/5              [sin θ = P/H, cos θ = B/H and tan θ = P/H]

⇒ (60 + 25 - 156)/65

⇒ (-71)/65

Number of girls in CE = 2600 × 20/100 × 2/5 = 208

Number of girls in CS = 2600 × 18/100 × 5/9 = 260

Number of girls in IT = 2600 × 21/100 × 4/7 = 312

Number of girls in ME = 2600 × 22/100 × 5/11 = 260

Number of girls in EC = 2600 × 19/100 × 10/19 = 260

Total girl in all five streams = 208 + 260 + 312 + 260 + 260 = 1300

Total number of girls = 1300

Total number of boys = 2600 - 1300 = 1300

Required ratio = 1300 : 1300 = 1 : 1

As we know,

⇒ (x + 1/x)² = x² + 1/x² + 2

Given, √x - 1/√x = √6

⇒ (√x - 1/√x)² = (√x)² + (1/√x)²- 2

⇒ √6² = x + 1/x - 2

⇒ x + 1/x = 6 + 2 = 8

⇒ (x + 1/x)² = x² + (1/x)² + 2

⇒ 8² = x² + 1/x² + 2

⇒ x² + 1/x² = 64 - 2 = 62

⇒ (a + b)³ = a³ + b³ + 3ab (a + b)

Given, a + b = 6 and ab = 16/3

⇒ 6³ = (a³ + b³) + 3 × 16/3 × 6

⇒ (a³ + b³) = 216 - 96 = 120

Concept Used:

AD is median, so AD divides the triangle into two equal part

ar ΔADB = ar ΔADC

In a triangle, the area ratio between two sub-triangles with the same height (which, in this case, is represented by the length of the line perpendicular from the base to the opposite vertex) is the same as the ratio of their bases.

Calculation:

AD is median, so AD divides the triangle into two equal part

ar ΔADB = ar ΔADC

In ΔABD

⇒ ar ΔBPD/ar ΔAPB = DP/AP

⇒ ar ΔBPD/ar ΔAPB = 4/3

Let the area of ΔBPD be 4 unit

So, the area of ΔAPB will be = 3 unit

So, area of ΔBAD = ar ΔBPD + ar ΔAPB = 4 + 3 = 7 unit

Area of ΔABC = 2 × ar ΔBAD = 2 × 7 = 14 unit

∴ ar ΔBPD : ar ΔABC = 4 : 14 = 2 : 7

⇒ sin θ = cos(50° + θ),

⇒ sin θ = sin [90° - (50° + θ)] [cos(90 - θ) = sin θ]

⇒ θ = 90° - 50° - θ

⇒ 2θ = 40°

⇒ θ = 20°

Number of students who studying in CS = 2600 × 18/100 = 468

Number of students who studying in IT = 2600 × 21/100 = 546

Required ratio = 468 : 546 = 6 : 7

Difference in the percentage of boys and girls in CE = [(3 - 2)/5] × 100 = 20%

Difference in the percentage of boys and girls in CS = [(5 - 4)/9] × 100 = 11.11%

Difference in the percentage of boys and girls in IT = [(4 - 3)/7] × 100 = 14.28%

Difference in the percentage of boys and girls in ME = [(6 - 5)/11] × 100 = 9.09%

Difference in the percentage of boys and girls in EC = [(10 - 9)/19] × 100 = 5.26%

In EC stream the difference in the percentage of boys and girls is minimum

⇒ a : b = 2 : 3        ----(1)

⇒ c : b = 5 : 6        ----(2)

In both the ratios value of b is different i.e 3 and 6

Hence, we will make b equal in both the ratios

Multiply by 2 in equation (1). we get

a : b = 4 : 6

Now the ratio will become,

a : b = 4 : 6        ----(1)

c : b = 5 : 6

So, 

⇒ a : b : c = 4 : 6 : 5

SP of each article = Rs. 5,104

CP of first article = 5,104 × [100/116] = 4,400

CP of second article = 5,104 × [100/88] = 5,800

Total SP of both article = 5,104 × 2 = 10,208

Total CP of both article = 4,400 + 5,800 = 10,200

Total loss = 10,208 - 10,200 = 8

Profit percentage = [8/10,200] × 100 = 0.08% (approx)

⇒ cot²62° - sec²28° + cosec²30° + tan²60°

⇒ cot²(90° - 28°) - sec²28° + 2² + (√3)²

[cot(90 - θ) = tan θ and sec² θ - tan² θ = 1]

⇒ tan²28 - sec²28 + 4 + 3

⇒ 7 - 1

⇒ 6

Let initial price of sugar be 100x

Price of sugar after increased = 100x × [117/100] = 117x

Person wants his expenditure increase by 8% only, so his expenditure should be = 100x × [108/100] = 108x

Required percentage = [(117 - 108x)/117] × 100 = 7.69% ≈ 7.7%

Shortcut Trick

Direct formula for a³ + b³ + c³ − 3abc using sum and pairwise product sum:

Value = (a + b + c) × [(a + b + c)² − 3(ab + bc + ca)]

Substitute values: 6 × [6² − 3 × 4]

⇒ 6 × [36 − 12] = 6 × 24 = 144

∴ The correct answer is 144.

Alternate Method

Given: a + b + c = 6 and ab + bc + ca = 4

Method: Algebraic Identity expansion

Step 1: Find the value of a² + b² + c² using the square of a trinomial.

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

⇒ 6² = a² + b² + c² + 2(4)

⇒ 36 = a² + b² + c² + 8

⇒ a² + b² + c² = 36 − 8 = 28

Step 2: Use the standard identity for a³ + b³ + c³ − 3abc.

⇒ a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − (ab + bc + ca))

⇒ a³ + b³ + c³ − 3abc = 6 × (28 − 4)

⇒ a³ + b³ + c³ − 3abc = 6 × 24 = 144

∴ The correct answer is 144.

Additional Information

Zero Sum Condition

If a + b + c = 0, then a³ + b³ + c³ = 3abc. This is a very common variation in exams.

Alternative Form of Identity

a³ + b³ + c³ − 3abc = 0.5 × (a + b + c)[(a − b)² + (b − c)² + (c − a)²], used when differences are given.

Sum of Squares Identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) is the fundamental relation used to link these variables.

Let the efficiency of B be 100.

Efficiency of A will be = 100 × [140/100] = 140

Efficiency of C will be = 100 × [80/100] = 80

Efficiency ratio of A, B and C = 140 : 100 : 80 = 7 : 5 : 4

Total work = (7 + 5 + 4) × 20 = 320

35% of total work = 320 × [35/100] = 112

35% of total work A will complete in = 112/7 = 16 days

As we know,

Difference between the compound interest and simple interest for 2 years formula,

Given, r = 7.5%, time = 2 years and P = x

⇒ Pr²/(100)² = difference

⇒ (P × 7.5 × 7.5)/100 × 100 = 45

⇒ P = 8000

MP of the article Rs. x

According to the question

⇒ x × [80/100] × [84/100] = 1680

⇒ x = 2500

MP of the article = Rs. 2500

Number of girls in class = 40 × 45/100 = 18

Number of boys in class = 40 - 18 = 22

Average marks of girls is = 54

Sum of marks of girls is = 54 × 18 = 972

Average marks of boys is = 46

Sum of marks of boys is = 46 × 22 = 1,012

Total sum of marks of all class = 1,012 + 972 = 1984

Average marks of whole class = 1984/40 = 49.6

Given:

ΔABC ~ ΔPRQ,

PQ is 4 cm, QR is 7 cm, PR is 8 cm 

And ar(ΔABC)/ar(ΔPQR) = 1/4

Concept Used:

When two triangles are similar,

ar(Δ ABC)/ar(Δ PRQ) = (AB/PR)² = (BC/RQ)² = (AC/PQ)² 

Calculation:

ar(Δ ABC)/ar(Δ PRQ) = 1/4

(AC/PQ)2 = 1/4

⇒ AC²/4² = 1/4

⇒ AC² = 4² × 1/4 = 4

⇒ AC = √4 = 2 cm

∴ Length of AC is 2 cm.

Number of girls in CE = 2600 × 20/100 × 2/5 = 208

Number of girls in CS = 2600 × 18/100 × 5/9 = 260

Number of girls in IT = 2600 × 21/100 × 4/7 = 312

Number of girls in ME = 2600 × 22/100 × 5/11 = 260

Number of girls in EC = 2600 × 19/100 × 10/19 = 260

Total girl in all five streams = 208 + 260 + 312 + 260 + 260 = 1300

1300 girls represents = 360°

Number of girls in ME (260) will represent = 360°/1300 × 260 = 72° (approx)

6 digit number 4x573y is divisible by 72, so we can say number also divisible by both 8 and 9

Divisibility law of 8 ⇒ A number divisible by 8 if its last three digit is divisible by 8

Divisibility law of 9 ⇒ A number is divisible by 9 if sum of its digit is divisible by 9.

⇒ 4x573y is divisible by 8 if y = 6

⇒ 4x5736 is divisible by 9 if x = 2

⇒ (x + y)

⇒ 6 + 2

⇒ 8

The correct answer is option 2, i.e. with deeper tube wells.

The given sentence has used with deepest tube wells , so a change is required.

A comparison has been made here and the comparative degree of the word deep i.e. deeper should be used. That is why option 2 with deeper tube wells is the correct answer.

So option 3 and option 4 are incorrect.

The correct answer is option 2, i.e. be very angry

Explanation:  ​

• Blow one's top means to lose one's temper
  

Example- He is volatile and likely to blow his top if his demands aren't met.

• Synonyms: Flare-up, Rage, lose one's temper, etc.

The correct answer is option 2, to try for a job

The preposition to should not be used here. From should be used with the word dissuade. After the preposition from + verb +ing should be used here.So from trying should be written.

The correct sentence should be: My father dissuaded me from trying for a job as he wanted me to pursue higher studies.

That is why option 2 is the answer.

The correct answer is option 4, i.e. gigantic.

The meaning of the word Mammoth is huge. 

Gigantic means huge and that is why option 4 is the correct answer.

 perilous means dangerous.

 Magnificent means splendid

 miniscule meaning tiny

The subject for the verb 'reveal' in the given sentence is the noun phrase 'length of a mail's tail', which is singular.

Hence, the verb must change its form to 'reveals' in order to agree with the singular subject.

The correct sentence should be: 

The length of a male swallow's tail reveals his attractiveness for a female swallow.

Hence, the error is in the part mentioned in option 4.

The correct answer is option 4, i.e. The government has imposed heavy taxes on luxury items.

The subject of the active voice is the government and it should be followed by the to have [ verb] i.e.has. After this, the main verb should be used i.e. imposed followed by the object, i.e.heavy taxes.

Therefore option 4 is the answer.

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

The meaning of the word crucial is critical/important. The meaning of the word trivial is insignificant and it is the most appropriate antonym of the given word.

 Critical means evaluative 

imperative means vitally important.

pivotal means central.

The correct answer is option 1, i.e. orchard.

orchard means a piece of enclosed land planted with fruit trees. that is why option 1 is the answer.

 plantation means an area in which trees have been planted.

farm means an area of land used for growing crops.

Hence option 1 is the answer.

The correct answer is option 1 i.e. 'Desperate'.

Key Points

• Desperate: (निराश) feeling or showing a lack of hope or confidence.
• Example: "The desperate man searched for help."

Therefore, the correct answer is - desperate

Additional Information

• Desperete: This is an incorrect spelling of the word.
• Disparat: This is an incorrect spelling of the word.
• Desparate: This is an incorrect spelling of the word.

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

At the time of a flood, water from the dams is generally released. So option 3 release is the correct answer.

 collection means group and it is clearly not the best fit.

 liberation means to release and it should not be used here because it is used to express freeing someone from imprisonment or oppression.

restraint means constraint and it cannot be used here because it is a noun.

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

Key Points

• tution is incorrect and the correct spelling is tuition.
• Voilation is incorrect and the correct spelling is Violation
• afliction and the correct spelling is affliction

So option 3 is the answer.

The correct answer is option 4, i.e. be very cautious

Explanation:

• Walk a tight rope means to be in a difficult situation that demands careful and considered behaviour
  

Example- He is walking a tightrope between the young activists and the more traditional elements within the democracy movement.

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

Key Points

The meaning of the word deprived is not having the things that are necessary for a pleasant life​; prevented. 

It should be: Sedimentation deprived the plains of silt. The meaning of DEPRIVE OF is to take (something) away from (someone or something) : to not allow (someone or something) to have or keep (something) 

Therefore it is the correct option.

Additional Information

Let's see the other options.

 destroyed means to demolish and it does not fit the context of the sentence

 distributed means to give out and it does not fit here.

 disabled means impair and it cannot be chosen as the answer.

Hence option 3 is the answer.

The correct answer is option 1, i.e. No one was ever trusted by her.

The given sentence is written in Active voice and it should be changed into passive voice

It is a negative statement as the word never is used. So anyone will become no one in the Passive voice'.

No one is the subject of the passive voice.

The tense of the verb of the sentence is past indefinite tense. Therefore was should be as the be verb followed by the word ever and the past participle of the word trust i.e. trusted.

After this the preposition by and the object i.e her should be written.

So option 1 is the answer.

The correct answer is option 3 i.e. reticent.

The meaning of the word Taciturn is uncommunicative/ and reticent means reserved. That is why option 3 is the answer.

Placid means calm

Talkative means chatty.

phlegmatic means calm.

Hence option 3 is the answer.

The correct answer is DACB

Key Points

• The given sentence is an example of a Sentence Jumble.
• The first statement of a sentence jumbled question is usually an independent general statement, a noun, a universal fact, the starting of an incident, or it starts with 'most' or 'once'.
• Part D will be the first sentence because it is talking about a past happening. It is talking about how the incident began.
• Part A will be the second sentence because it has 'but'. You use but to introduce something which contrasts with what you have just said, or to introduce something which adds to what you have just said. This statement mentions contrary part of what has been mentioned in D
• Part C will be the next in sequence. It explains how Jessica felt on being ignored.
• Part B will be the next sentence because it mentions what Jessica finally did on being left alone.

Thus, the sentences will be arranged as: When the bell rang for lunch, Jessica took her lunch box and started moving towards the library. But the rest of the students were rushing past her for a break, like she didn't exist. And today, Jessica really felt like maybe she didn't exist. She slowly pushed open the library door and took a seat at one of the tables in the corner.

The correct answer is option 2, i.e. miners alleged that there were.

the allegation  is a statement saying that someone has done something wrong

alleged means- declared or stated to be as described; asserted

The given sentence has used the words miners allegation that there is and it should be changed. The word allegation should be changed with the verb alleged because the second clause is the answer to what was alleged.

Hence option 2 is the answer.

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

The words owing to means as a result of. So the ship can only be sailed as a result of a favourable wind . Favourable means advantageous.

That is why option 3 is the answer.

turbulent means stormy

tempestuous means stormy

boisterous means  noisy, energetic, and cheerful.

The correct answer is option 4, i.e.devastated

The meaning of the word devastated is to destroy or ruin and it is the best fit. That is why option 4 is the answer.

devoured means to ruin and it cannot be used here because devastated is the best fit.

 plundered means to rob and it is clearly not relevant for this sentence.

smashed means to break.

Therefore option 4 is the answer.

The correct answer is option 1 , i.e. BCAD

The first sentence is B , --An entire township- Jharia is to be relocated because of the uncontrollable underground fires. because a topic is introduced here.

The next sentence should be   C --These fires start mostly from burning trash close to coal pits. because it is giving some information about the fire that is mentioned in the first sentence.

The third sentence is A --Then, they spread as the unmined coal starts burning with oxygen drawn from pores and mine shafts. because it is stating what happens after the fire starts burning.

The fourth sentence is D --This is a grave threat as poisonous fumes of carbon monoxide rise up from underground fires. because it is about the result of burning.

That is why option 1 is the correct answer.

The correct answer is option 1, i.e. Benevolent

The meaning of  Covetous is greedy/ having or showing a great desire to possess something belonging to someone else.

Benevolent means kind-hearted. That is why option 1 is the correct answer

Mercenary means grasping/interested only in the amount of money that you can get from a situation.

Acquisitive means greedy /excessively interested in acquiring money or material things.

Avaricious means grasping./ having or showing extreme greed for wealth or material gain.

So the most appropriate antonym of the given word is benevolent.

The correct answer is option 1,  

Arsenal is a place where weapons and military equipment are stored or made. that is why option 1 is the correct answer.

Aviary means a large cage/enclosure for keeping birds in.

Apiary means a place where bees are kept.

Archive which means a collection of historical documents or records.

The correct answer is option 4 i.e. control

Dams are prepared to control flood i.e to regulate it.That is why option 4 is the answer.

resist means to withstand and it does not fit here.

reduce means lessen and it is clearly not the answer.

 dominate means to have power and influence over and it is not the best fit.

Therefore option 4 is the answer.

The correct answer is option 1 i.e.in

Before any place the preposition in should be used. That is why option 1 is the correct answer.

The other options are incorrect.

The correct answer is option 1 , i.e. 'Laconic'

It is clear from this sentence that two words has been been used which are contrasting. 'Verbose' which means 'wordy' is just the antonym of the word which is the correct answer.

'Laconic' means 'concise' and it is the correct answer.

Option  2 'Sullen' means 'bad tempered' does not fit here.

Option 3 'lengthy' should not be chosen.

Option 4 ,'surly' means 'bad tempered' and it is clearly not the answer.