DSSSB TGT Hindi (Female) 28 Aug 2018 Shift 1 (Previous Year Paper)

The logic followed is:

The second number = (first number)³ + 1

Option 1: 4 : 65

65 = (4)³ + 1

65 = 64 + 1

65 = 65

Option 2: 3 : 28

28 = (3)³ + 1

28 = 27 + 1

28 = 28

Option 3: 9 : 729

729 = (9)³ + 1

729 = 729 + 1

729 ≠ 730 

Option 4: 7 : 344

344 = (7)³ + 1

344 = 343 + 1

344 = 344

Hence, the correct answer is "Option 3".

The pattern followed is:

Hence, the correct answer is "U12".

Let the number of dogs be ‘x’ and the number of ducks be ‘y’.

So, total number of heads are (x + y) and total number of legs are (4x + 2y)

According to question:

(4x + 2y) = 2(x + y) + 10

⇒ 4x + 2y = 2x + 2y + 10

⇒ 4x + 2y – 2x – 2y = 10

⇒ 2x = 10

⇒ x = 5

So, the number of dogs is 5.

Hence, the correct answer is "5".

The family chart is as follows:

Drawing the family tree as per the given information:

Thus we can see Ramya's father's sister related to Shweta as an aunt.

Hence, the correct answer is "Aunt".

The logic followed is:

Concept:

• Mirror: The optical instrument which reflects the light and makes the image of the object is called a mirror.
• The mirror has a flat surface as the reflecting surface is called a plane mirror.

EXPLANATION:

• The plane mirror always forms a virtual image of a real object. The virtual images can’t be formed on a screen.
• The size of the image formed by a plane mirror is equal to the size of the object.

When people look into a mirror, they see an image of themselves behind the glass. That image results from light rays encountering the shiny surface and bouncing back, or reflecting, providing a "mirror image". 

A reflection appears to be the same distance from the "other side" of the mirror as the viewer's eyes are from the mirror. Also, when light is reflected from a mirror, it bounces off at the same angle in the opposite direction from which it hit. For example, if the light hits a flat or "plane mirror" at a 30-degree angle from the left, it will bounce off at a 30-degree angle to the right. 

Thus we can say reflection is the thing that mirrors always do.

Hence, the correct answer is "Reflects".

Venn diagram according to the given information is:

Fruits, Grapes, Water​ 

All the grapes are fruits so they will come inside the fruits circle.

But

Water is a different entity from them so it will come as a separate circle.

Hence, the correct answer is "Option 3".

The logic follows here is :

 

Given expression is :10 $ 6 @ 3 # 64 * 8 = ?

Replacing the signs as per the given directions and using the BODMAS rule:

10 + 6 × 3 - 64 ÷ 8 = ?

10 + 6 × 3 - 8 = ?

10 + 18 - 8 = ?

28 - 8 = ?

? = 20

Hence, the correct answer is "20".

 

Given:

Revenue from all products is $12,400.

Percentage production of Sweet chocolate = 15%

Now,

Income from the sales of Sweet chocolate = 15% of $12,400

⇒ 15/100 × $12,400

⇒ .15 × $12,400

⇒ $ 1,860

Hence, the correct answer is "$ 1,860".

The pattern followed is:

When moving from figure 1st to 2nd, the lower part of the given figure is shaded.

Similarly,

When moving from figure 3rd to 4th, the lower part of the given figure will get shaded.

Thus only one figure that satisfies the given pattern is:

The complete series is:

Hence, the correct answer is "Option 3".

The logic followed is:

All except option (4), Second denotes the purpose for which the first is used.

Option 1 → Spanner : Grip

Spanner is basically used for the purpose to grip nut bolts.

Option 2 → Axe : Chop

Axe is used as a hand tool used for chopping, splitting, chipping, and piercing.

Option 3 → Spoon : Feed

Spoons are used primarily for eating liquid or semi-liquid foods, such as soup, stew or ice cream, and very small or powdery solid items which cannot be easily lifted with a fork, such as rice, sugar, cereals and green peas. 

Option 4 → Gun : Cut

Gun is basically used for the purpose to shoot not to cut.

Thus this is odd from the rest of the options.

Hence, the correct answer is "Gun : Cut".

Given that:

The sum of the present ages of the father and his son is 60 years.

Let the age of father be x and son be y years.

⇒ x + y = 60 → i)

A.T.Q

2 years ago,

x - 2 = 3 (y - 2) 

x - 2 = 3y - 6

x - 3y = -4 → i)

Subtracting eq ii) from i) we get:-

4y = 64

y = 16

Present age of the son = 16 years

The age of the son after eight years = 16 + 8 = 24 years.

Hence, the correct answer is "24".

Shortcut Trick

In an Arithmetic Progression, the n^th term is easily found using T_n = a + (n − 1)d.

Given first term (a) = 3 and common difference (d) = 5.

For the 15^th term, multiply the difference by 14 and add to the first term.

T₁₅ = 3 + (14 × 5) = 3 + 70 = 73.

∴ The correct answer is 73.

Alternate Method

3

+5 →

8

+5 →

13

+5 →

18

+5 →

23

The given series is an Arithmetic Progression with a constant common difference of 5.

Given:

First term (a) = 3

Common difference (d) = 8 − 3 = 5

Target term (n) = 15

Formula Used:

The n^th term of an A.P. is calculated as T_n = a + (n − 1)d

Calculations:

⇒ T₁₅ = 3 + (15 − 1) × 5

⇒ T₁₅ = 3 + 14 × 5

⇒ T₁₅ = 3 + 70

⇒ T₁₅ = 73

∴ The correct answer is 73.

Additional Information

Sum of an A.P. Series

The sum of the first n terms of an A.P. is given by S_n = n ÷ 2 × [2a + (n − 1)d] or S_n = n ÷ 2 × (a + l), where l is the last term.

Geometric Progression (G.P.)

A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio (r). The n^th term is T_n = a × rⁿ⁻¹.

Harmonic Progression (H.P.)

A sequence of quantities whose reciprocals form an arithmetic progression. Example: 1, 1/2, 1/3, 1/4...

The logic followed is:

Meter is the SI unit of Length

Similarly,

Second is the SI unit of Time.

Hence, the correct answer is "Time".

Additional Information

• S.I Unit of Resistance is the Ohm.

• S.I Unit of Energy is Joule.

• S.I Unit of Volume is the Cubic meter.

• S.I Unit of Force is Newton.

• S.I Unit of Area is the Square meter.

• S.I Unit of Temperature is Kelvin.

 

Important Points

• There is a total of 9 S.I units.

1. 7 of them are fundamental units.
2. 2 of them are Supplementary units.

 

The logic followed is :

In the water image, the top and bottom parts of the image changed where the left and right sides of the image remain the same.

Hence, the correct answer is "Option 1".

Additional Information

• 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.

Thus, the image that is formed after folding the paper is an image shown below,

Hence, the correct answer is "Option 2".

As we can see the given figure is embedded in Option 4. 

Hence, the correct answer is "Option 4".

The logic followed is:

In all the given figures except option (4), the common pattern is:

i) The two given figures are facing each other. The bottom figure is the water image of the top figure.

ii) The orientation of the figure is the same.

ii) Both the given figure are the same.

Option 1: 

i) The two given figures are facing each other. The bottom figure is the water image of the top figure.

ii) The orientation of the figure is the same.

Thus this is similar to the given figure pattern.

Option 2: 

i) The two given figures are facing each other. The bottom figure is the water image of the top figure.

ii) The orientation of the figure is the same.

Thus this is similar to the given figure pattern.

Option 3: 

i) The two given figures are facing each other. The bottom figure is the water image of the top figure.

ii) The orientation of the figure is the same.

Thus this is similar to the given figure pattern.

Option 4: 

i) The two given figures are facing each other but the bottom figure is not the water image of the top figure.

Thus this is not similar to the given figure pattern.

Hence, the correct answer is "Option 4".

The logic followed is:

1. From the figure 1st to 2nd, the left corner shape is shifting to its right and touches the right most shape.

Similarly,

2. From figure 3rd to 4th, the bottom shape will shift to its top and will touch the topmost shape.

Thus only one figure is satisfying the given patter is:

The complete series is:

Hence, the correct answer is "Option 4".

Given:

Mohan has completed a Post-doctoral degree in Physics with 62% marks with 10 years of experience in the area of specialization.

He had completed his Masters's degree in Physics as a specialization and secured 78% marks in Post Graduation and 65% marks in Graduation.

He is also ready to appear on probation for one year.

All conditions are as follows;

 

The compulsory condition 2 data is not available for Mohan.

So, we cannot comment on the selection as the data is insufficient.

Hence, the correct answer is "Insufficient Data".

The logic followed is:

Given statement: You are playing cricket in a park. When you hit the ball, it hits the window pane of an adjacent house and breaks the glass. 

Option 1: Will secretly take back your ball

This shows your irresponsible behaviour and lack of a sense of responsibility. This is not the correct action to be taken. You have damaged someone's property and you are secretly running from it. 

Option 2: Ask the homeowner to vacate the house

This is not the correct action to be taken as this is illogical. 

Option 3: Will apologize to the homeowner and make a compulsory payment (contribution) to replace the glass

This is the correct action to be taken. As you are accepting your fault and solving the issue by paying for the damage you have done. This shows a sense of responsibility and acceptance in your behaviour. 

Option 4: Will demand the return of his ball from the homeowner

rather than paying for their damage, you are asking for your ball from the house owner. This is not the correct action to be taken.

Hence, the correct answer is "Option 3".

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

The correct answer is Penalty stroke.

Key Points

• A penalty stroke is the most severe penalty given in field hockey and football.
• It is predominantly given when a foul has prevented a certain goal from being scored or for a deliberate infringement by a defender in the penalty circle.
• Other terms associated with field hockey are Artificial turf, Attacker, Breakaway, Corner flag etc.
• A penalty stroke is awarded to the attacking side when an offense is committed by the defending side which is deemed to have prevented an almost certain goal. A penalty is taken 7 yards (6.4m) from goal, with the player having only the goalkeeper to beat.

Additional Information

The correct answer is Macedonia.

Key Points

• Alexander III also known as Alexander the Great, was born in Pella in 356 BC, he was from Macedonia.
• Alexander is considered one of history's most successful commanders.
• He invaded India in 326 BC during the period of Dhana Nanda.
• Alexander the Great died of malaria in Babylon (now Iraq), on June 13, 323 B.C.
• He was just 32 years old at the time of his death.

 

Additional Information

• Alexander invaded India in 327-325 BC.
• Nanda dynasty is a non-Kshatriya dynasty found by Mahapadma Nanda.
• Capital: Pataliputra.
• Alexander the Great invaded  India at the time last Nanda king Dhana Nanda In 326 BCE.
• The Dhana Nanda was overthrown by Chandragupta Maurya.
• The Nanda dynasty ended with Dhana Nanda in about 321 BCE when Chandragupta laid the foundation for Mauryan power.

The correct answer is Bomdila.

Key Points

• Bomdi La is in Arunachal Pradesh.
• At an altitude of 4331 m
• Situated at an altitude of 4331 m near the western boundary of Arunachal Pradesh in the Greater Himalayas, this pass connects Arunachal Pradesh with Lhasa the capital of Tibet.

Additional Information

• Chang-La
• It is a high mountain pass in the Greater Himalayas.
• It connects Ladakh with Tibet.
• Diphu Pass
• It 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.
• Dihang Pas
• It is located in the Northeastern states of Arunachal Pradesh.
• This pass connects Arunachal Pradesh with Myanmar (Mandalay).

The correct answer is Sixth largest.

Key Points

• According to updated World Bank figures on the GDP of countries for 2017, India has become the world’s sixth-biggest economy.
• India's gross domestic product (GDP) stood at $2.597 trillion at the end of 2017, compared to$2.582 trillion for France.
• The US continued to be the world's biggest economy, followed by China, Japan, and Germany.

      

• GDP (PPP) Ranking 2021:

The correct answer is By an act of parliament.

Key Points

• AIIMS (New Delhi)
• It was established in 1956 through an Act of Parliament and operates autonomously under the Ministry of Health and Family Welfare.
• It is a medical school, hospital and public medical research university.
• It is governed by the All India Institute of Medical Sciences Act, 1956.
• The Institute was established in New Delhi by Rajkumari Amrita Kaur Ahluwalia.
• Current Director (as of July 2021): Randeep Guleria.

 

Additional Information

• The Indian Council of Medical Research (ICMR)
• It is the apex body in India for the formulation, coordination and promotion of biomedical research.
• In 1911, the Government of India set up the Indian Research Fund Association (IRFA) with the specific objective of sponsoring and coordinating medical research in the country.
• After independence, several important changes were made in the organisation and the activities of the IRFA.
• **It was redesignated the Indian Council of Medical Research (ICMR) in 1949.**​
• Current President (as of July 2021): Dr Harsh Vardhan.

The correct answer is O Positive.

Key Points

• O positive is found in 38% of people, making it the most common blood type.

Additional Information

• A positive:
• Blood group A+ contains type-A antigen.
• It is one of the most common blood types.​
• B positive:
• B+ blood has a very high demand for medical and surgical conditions.
• B+ can give blood to other B+ and AB+ recipients.
• B+ can only receive blood from B or O blood types.​
• O negative:
• O- blood type is the universal red blood cell donor because their red blood cells can be transfused into any patient, regardless of blood type.
• Those with O- can only receive from other O- donors.

The correct answer is On 13th May 1952.

Key Points

• The first session of the first Lok Sabha commenced on 13th May 1952.

• The maximum strength of Lok Sabha is 552 and that of Rajya Sabha is 250.

• Lok Sabha dissolved after every five years but Rajya Sabha is the permanent house of and one-third of its members retire after every two years.

• Om Birla is the Speaker of the 17th Lok Sabha while Vice President of India M Venkaiah Naidu is the Chairman of the Rajya Sabha.

• Rajya Sabha is also known as the Council of States or the upper house.

• Lok Sabha is also known as the House of the people or the Lower House.

The correct answer is Six months.

Key Points

• The President from time to time summons each House of Parliament to meet.
• But, the maximum gap between two sessions of Parliament cannot be more than six months.
• In other words, the Parliament should meet at least twice a year.
• There are usually three sessions in a year are held,
• The Budget Session (February to May);
• The Monsoon Session (July to September); and
• The Winter Session (November to December).
• A ‘session’ of Parliament is the period spanning between the first sitting of a House and its prorogation (or dissolution in the case of the Lok Sabha).
• During a session, the House meets every day to transact work.
• The period spanning between the prorogation of a House and its reassembly in a new session is called ‘recess’.

The correct answer is Madhya Pradesh.

Key Points

• Bhagoria is an important tribal festival of Madhya Pradesh:
• It is celebrated in the month of March before the Holi festival.
• During this festival young boys and girls are allowed to elope after choosing their partners, they are accepted as husband-wife after they mutually agree.

Additional Information

• About Madhya Pradesh: 
• State Foundation Day: November 1, 1956
• Capital: Bhopal
• Chief Minister: Mohan Yadav
• Governor: Mangubhai C. Patel
• State Animal: Barasingha
• State Bird: Indian Paradise Flycatcher
• State Tree: Banyan Tree
• National Parks: Kanha National Park, Bandhavgarh National Park, Panna National Park, Satpura National Park, Madhav National Park, Sanjay National Park, Pench National Park, Van Vihar National Park, Fossil National Park.

The correct answer is 2014.

Key Points

• The National Air Quality Index (AQI) in India was launched on 17 September 2014 in New Delhi under the Swachh Bharat Abhiyan by Environment Minister Shri Prakash Javadekar.
• The air quality index is composed of 8 pollutants - PM10, PM2.5, NO2, SO2, CO, O3, NH3, and Pb).
• The Air Quality Index measures the quality of air.
• It shows the amount and types of gases dissolved in the air.
• There are 6 categories of air that have been created in this air quality index.
• These categories are based on air quality.
• These categories are; good, satisfactory, moderate, poor, very poor, and severe.
• As the air quality deteriorates, so does the ranking of air from good to bad than very poor to severe.

The correct answer is Board.

Key Points

• The Insolvency and Bankruptcy Board of India (IBBI) was established on 1st October 2016 under the Insolvency and Bankruptcy Code, 2016 (IBC).
• As the bo dy is created by an act of the parliament, it is a statutory body.
• Headquarter: New Delhi.
• The Insolvency and Bankruptcy Board of India (IBBI), in collaboration with MyGov.in, conducted a ‘National Online Quiz on Insolvency and Bankruptcy Code, 2016’ from 1st July to 31st July 2020 to promote awareness and understanding of the Code among various stakeholders across the country.
• The Quiz was open for all Indian citizens above 18 years of age, except for individuals working in IBBI, service providers registered with IBBI, and also their immediate family members.
• The Quiz received an overwhelming response with 1,25,781 participants.
• There were participants from every State and every Union Territory.
• Uttar Pradesh accounted for the highest participation with 15.7% of total participants, followed by Maharashtra with 11.7% and Delhi with 6.9%.

The correct answer is Kodaikanal.

Key Points

• Kodaikanal is one of the very popular hill stations in South India is a hill station located in the Palani Hills.
• It lies in Tamil Nadu.
• It is also popularly known as the princess of Hill Stations.

 

Additional Information

• Munnar hill station: Kerala
• Coorg (Madikeri) hill station: Karnataka
• Ooty hill station: Tamil Nadu

The correct answer is Amnesty International.

Key Points

• Amnesty International (AI) is a non-governmental organization with its headquarters in the United Kingdom focused on human rights.
• Amnesty draws attention to human rights abuses and campaigns for compliance with international laws and standards.
• Amnesty International was founded in London in 1961, following the publication of the article "The Forgotten Prisoners" in The Observer on 28 May 1961, by the lawyer Peter Benenson.
• The organization was awarded the 1977 Nobel Peace Prize for its "defence of human dignity against torture," and the United Nations Prize in the Field of Human Rights in 1978.

LOGO:

The correct answer is Target.

Key Points

• The Target Olympic Podium Scheme is a flagship program of the Ministry of Youth Affairs and Sports which is an attempt to provide assistance to India’s top athletes.
• The Scheme looks to add a premium to the preparations of these athletes so that they can win Olympic medals in the 2020 and 2024 Olympics.
• Under the Scheme, the Department of Sports shall identify athletes who are potential medal winners in the 2020 / 2024 Olympics.
• The idea of the Scheme is to also keep an eye on the future and fund a Developmental Group of Athletes who are medal prospects for the Olympic Games in Paris in 2024 and the Los Angeles Games in 2028.
• The Mission Olympic Cell is a dedicated body created to assist the athletes who are selected under the TOP Scheme.
• The MOC is under the Chairmanship of the Director-General, Sports Authority (DG, SAI).

The correct answer is PV Narasimha Rao.

Key Points

• PV Narsimha Rao was the 9th Prime Minister of India (1991-1996).
• He became the President of the Indian National Congress after Rajiv Gandhi.
• He is also referred to as “Chanakya of Modern India” for his ability to get legislation passed even while heading a minority government.
• The duo of PV Narsimha Rao (PM) and Manmohan Singh (Finance Minister) led the Economic reforms of 1991 and saved India from an Economic crisis.
• Under his leadership, India adopted LPG reforms (Liberalisation, Privatisation, and Globalisation).
• For his economic reforms, he is also called the “Father of Indian Economic Reforms”.
• Mr Rao supported and boosted India’s Nuclear Program which resulted in Nuclear Test in 1998.
• The unfortunate Babri Mosque Demolition coincided with Rao’s Tenure.

The correct answer is Satchidananda Hari Sakshi.

Key Points

• This award was instituted by the Indian Parliamentary Group (IPG) and was given annually since 1995.
• This award is given to the most Outstanding Parliamentarians selected by the Award Committee.
• The President of India, Shri Ram Nath Kovind, presented the Outstanding Parliamentarian Award for the years 2013-2017, on August 1, 2018, in New Delhi.​
• Outstanding Parliamentarian Award 2013-2017

The correct answer is Atmospheric.

Key Points

• NARL is an autonomous research laboratory fully funded by the Department of Space, Government of India, and involved in carrying out fundamental and applied research in Atmospheric and Space Sciences.
• It had its humble beginning in 1992 as the National Mesosphere-Stratosphere-Troposphere(MST) Radar Facility.
• NARL is administered by a Governing Council with Secretary, DOS as the Chairman and Director, NARL as member secretary.
• The Governing Council sets broad policy guidelines for NARL.
• A Scientific Advisory Committee consisting of eminent scientists in the field of atmospheric science monitors the research activities and progress of NARL and provides future directions.
• NARL has now become one of the prime centres for atmospheric research in the country and operates a state-of-the-art MST radar, Rayleigh/ Mie Lidar, Boundary-Layer Lidar, Sodium Lidar, Lower Atmospheric Wind Profiler, Sodar, Disdrometer, Optical Rain Gauge, GNSS-NavIC receiver, Automatic Weather Station apart from regular launching of the GPS Radiosonde.
• Being relatively young, NARL’s research activities are spearheaded by a team of young and vibrant full-time research scientists and students.

The correct answer is Nile Rebellion.

Key Points

• Nile Rebellion relates to the refusal to grow indigo plants by thousands of ryots in Bengal in 1859.
• The revolt started from the villages of Gobindapur and Chaugacha in Krishnanagar, Nadia district.
• The Bishnucharan Biswas and Digambar Biswas first led the rebellion against the planters in Bengal, 1859.
• Indigo was recognized as a chief cash crop for the East India Company’s investments.
• This indigo revolt gave birth to a political movement and stimulated national sentiment against the British rulers among the Indian masses.
• Hindus and Muslims joined hands against their oppressors in this rebellion.

Additional Information

• Causes of the Indigo Rebellion:
• ​Indigo was in high demand worldwide.
• Trade-in indigo was lucrative due to the demand for blue dye in Europe.
• European planters enjoyed a monopoly over indigo and they forced Indian farmers to grow indigo by signing fraudulent deals with them.
• The cultivators were forced to grow indigo in place of food crops.
• The tax rates were also very high.
• The farmers were brutally oppressed if they could not pay the rent or refused to do as asked by the planters.
• They were forced to sell indigo at non-profitable rates so as to maximize the European planters profits.
• The government always supported the planters who enjoyed many privileges and judicial immunities.

The correct answer is Guru Nanak Dev.

Key Points

• Guru Nanak- He was the founder of Sikhism as well as the first Sikh Guru.

Additional Information

• Guru Angad- He started the practice of "Langer". He also developed the Gurumukhi script.
• Guru Amar Das- Composed the Anand Sahib, introduced the simple Anand Karaj marriage and abolished Sati among the Sikhs.
• Guru Ram Das- He laid the foundation of the holy city of Amritsar and initiated the construction of the Golden Temple.
• Guru Arjan Dev- Compiled the Adi Granth and constructed the Golden Temple.
• Guru Hargobind- Created the Sikh martial art called Gatka. Built the Akal Takhat.
• Guru Har Rai- He was known as the "tender-Hearted Guru".
• Guru Har Kishan- Youngest Sikh Guru, installed at the age of 5.
• Guru Teg Bahadur- Refused to convert to Islam and was beheaded by Aurangzeb.
• Guru Gobind Singh- He was the last Sikh Guru. He established the military force of "Khalsa".

The correct answer is toaster.

Key Points

• A toaster draws electric current electrical energy from the wall outlet and then converts these moving electric charges into heat or thermal energy.
• The filaments turn red hot to cook the toast.

 

Additional Information

• Chemical Energy to Thermal Energy: Burning of coal in a power plant.
• Electric to Light energy: Light Blub.
• Electric to Kinetic energy: Fan.

Given:

Total number of students in sections A and B of a class = 110

The number of students in A is 20% more than that of B.

the average score of students of B is 20% more than that of

students of A.

Average score of all the students of the class is 84

Formula used:

Sum of all the values = Average × Total number of values

Calculation:

Let class A be x students and class B be y students

According to the question,

x + y = 110     ----(1)

x = 120y/100 = 6y/5     ----(2)

From equation (1) and equation (2), we get

y + 6y/5 = 110

⇒ 11y = 110 × 5

⇒  y = 50

⇒ x = 110 - 50

⇒ x = 60

Sum of a score of all students = 110 × 84 = 9240

Let the average score of students in section A be P.

The average score of students in section B

= P × [120/100] = 1.2P

According to the question

60P + 50 × 1.2P = 9240

⇒ 60P + 60P = 9240

⇒ P = 9240/120 = 77

∴ The average score of students of section A  is 77.

Given:

The incomes of A and B are in the ratio 9 : 4

Their expenses is in the ratio 7 : 3

The income of B = The expenditure of A

Concept used:

Savings = Income - Expenditure

Income = Savings + Expenditure

Expenditure = Income - Savings

Calculation:

Let, the income of A  and B be 9x and 4x respectively

And the expenses of A  and B be 7y and 3y respectively,

If the income of B = the expenditure of A

4x = 7y

x = 7y/4

The  income of A = 9 × 7y/4 = 63y/4

The income of B = 4 × 7y/4 = 28y/4

Savings of A = 63y/4 - 7y

⇒ 35y/4

Savings of B = 28y/4 - 3y

⇒ 16y/4

The ratio of savings of A and B = 35y/4 : 16y/4

⇒ 35 ∶ 16

∴ The required ratio is 35 : 16.

Given:

Three vessels, whose capacities are 3, 4, and 5 liters, contain solutions of acid and water, in which the ratio of acid and water is 2 : 3, 3 : 7, and 4 : 11 respectively.

Calculation:

According to the question,

In vessels A,

Acid = 3 × 2/5 = 6/5

Water = 3 × 3/5 = 9/5

In vessels B,

Acid = 4 × 3/10 = 6/5

Water = 4 × 7/10 = 14/5

In vessels C,

Acid = 5 × 4/15 = 4/3

Water = 5 × 11/15 = 11/3

Total Acid = 6/5 + 6/5 + 4/3 = 56/15

Total water = 9/5 + 14/5 + 11/3 = 124/15

Ratio (in final solution) = A : W= 56/15 : 124/15 = 56 : 124 = 14 : 31

∴ The ratio of acid and water in the final solution thus obtained is 14 : 31.

Concept: 

To find the unit digit of any number, find the cyclicity of the unit digit of the given number.

Cyclicity = Number of times after which the unit digit starts repeating itself when a number undergoes power operation

Example: Cyclicity of 2 = 4 (21 = 2, 22 = 4, 23 = 8, 24 = 16, 25 = 32)

Same way, Cyclicity of 4 = 2

Calculation:

x = 37146 + 64243 + 24367

Divide the power by 4 and write the remainder in the place of power.

⇒ x = 7² + 4³ + 3³

⇒ x = 49 + 64 + 27 = 140

∴ The unit digit of x is 0.

Given:

Principal = Rs. 64000

Compound Interest = Rs. 4921

Rate = 5%

Concept used:

When the sum is compounded half-yearly, then the rate of interest becomes half and time becomes double.

Formula used:

A = P(1 + R/100)T

C.I = A - P

A = P + C.I

Where, A = Amount, P = Principal, T = Time, C.I = Compound interest and R = rate of interest

Calculation:

A = P + C.I

⇒ A = 64000 + 4921 = Rs. 68921

According to the question,

Compounded half-yearly,

A = P(1 + R/100)T

⇒ 68921 = 64000[1 + 5/(2 ×100)]^2T

⇒ 68921/64000 = (41/40)²ⁿ

⇒ (41/40)³ = (41/40)2n

⇒ 2n = 3

⇒ n = 3/2

Annual

Now, compounded annually

P = Rs. 64000 n = 3/2 = ${1\frac{1}{2}}$ years, and r = 5%

A = P(1 + R/100)T

⇒ A = 64000(1 + 5/100)^{${1\frac{1}{2}}$}

⇒ A = 64000(1 + 5/100)¹ × (1 + 5/100)^1/2

⇒ A = 64000 × (1 + 5/100)(1 + 5/2 × 100)

⇒ A = 64000 × 21/20 × 41/40 = Rs. 688,80

C.I = A - P

⇒ C.I = 68880 - 64000 = Rs. 4880

∴ The compound interest is Rs. 4880.

Given:

Three numbers are 1892, 2105, and 2531

Remainder is same in each case when given numbers are divided by x.

Concept used:

The greatest number 'x' which will divide three given numbers a, b and c to give the same remainder in each case is the HCF of (a - b), (a - c) and (b - c).

where, a > b > c

Calculations:

x = HCF of (2105 - 1892), (2531 - 1892) and (2531 - 2105)

⇒ x = HCF of 213, 639, 426

Prime factors of 213, 639, 426 can be written as,

213 = 3 × 71

639 = 3 × 3 × 71

426 = 3 × 2 × 71

HCF = 3 × 71

⇒ 213

Now,

2105 ÷ 213, Remainder = 188

2531 ÷ 213, Remainder = 188

1892 ÷ 213, Remainder = 188

Difference between x and remainder = 213 - 188 = 25

∴ The difference between x and remainder is 25.

Given:

A = B - 20% of B 

C = D + 20% of D

D = A – 25% of A

Calculation:

According to the question,

A = B - 20% of B 

⇒ A = B - ${1\over 5}B$

⇒ A = ${4\over 5}B$      ----(1)

C = D + 20% of D

⇒ C = D + ${1\over 5}D$

C = ${6\over 5}D$      ----(2)

D = A – 25% of A

⇒ D = A - ${1\over 4}A$

D = ${3\over 4}A$      ----(3)

Substituting value of eq(1) in eq(3), we get

D = ${3\over 4}\times {4\over 5}B$

Now, substituting the value of D in eq(2)

C = ${3\over 4}\times {4\over 5}\times {6\over 5}B = {18\over 25}B$

∴ 18B = 25C

Given:

A two digit number ab, where b > a, is multiplied by the sum of its digits, the number 52 is obtained.

The number obtained by interchanging the digits of the given number is multiplied by the sum of its digits, the number is 124.

Concept used:

Number = (10a + b)

Where, b > a

Calculation:

According to the question:

(10a + b)(a + b) = 52

⇒ 10a² + b² + 11ab = 52     ----(1)

(10b + a)(a + b) = 124

⇒ 10b2 + a2 + 11ab = 124     ----(2)

Subtract from equation(1) to equation(2):

(10a2 + b2 + 11ab) - (10b2 + a2 + 11ab) = 52 - 124

⇒ 10a2 + b2 + 11ab - 10b2 - a2 - 11ab = -72

⇒ 9a² - 9b² = -72

⇒ b² - a² = 8     ----(3)

Now,

[(10b + a)(a + b)]/[(10a + b)(a + b)]= 124/52

⇒ 130b + 13a = 310a + 31b

⇒ 99b = 297a

⇒ b = 3a

From equation(3);

b2 - a2 = 8 

⇒ (3a)² - a² = 8

⇒ 9a² - a² = 8

⇒ 8a² = 8

⇒ a² = 1

⇒ a = 1

So, b = 3a = 3 × 1 = 3

(14a - 3b) = 14 × 1 - 3 × 3 = 14 - 9 = 5

∴ The value of (14a - 3b) is 15.

Given:

Selling Price = ₹ x

Discount% = d%

Formula used:

S.P = M.P × (100 – d)/100

C.P = [M.P/(100 + p%) × 100] 

Where,

S.P → Selling price

M.P → Marked price

D → Discount%

Calculations:

According to the question,

⇒ S.P = M.P × (100 – d)/100

⇒ x = M.P × (100 – d)/100

⇒ M.P = 100x/(100 – d)

Again,

C.P = [M.P/(100 + p%) × 100] 

⇒ C.P = [(100x × 100)/(100 – d%)(100 + p%)]

⇒ C.P = $\dfrac{100^2x}{(100-d)(100+p)}$

∴ The cost price (in ₹) of the article is $\dfrac{100^2x}{(100-d)(100+p)}$.

Given:

The number of items sold increases by 10%

The overall revenue thus reduced by 10%

Concept used:

The number of items sold × The price of each item sold = The overall revenue

Calculation:

Let the price of each item be 100

According to the table,

 

The price of each item (X) = 9000/110 = 900/11

Change in the price of each item sold = 100 - 900/11 = 200/11

Percentage change = [(200/11 × 100) × 100] = 200/11 = $18 \dfrac{2}{11}\%,$

∴ The percentage change in the price of each item sold is $18 \dfrac{2}{11}\%,$decrease.

Hint

 The number of items sold increases by 10%

⇒ 100 × (100 + 10)/100

⇒ 100 × 110/100 = 110

The overall revenue thus reduced by 10%

⇒ 10000 × (100 - 10)/100

⇒ 10000 × 90/100 = 9000

Given:

A and B can do a piece of work in 30 days and 45 days respectively

Calculation:

According to the question,

(A + B) × 10 = (3 + 2) × 10 = 50 work

Remaining work = 90 - 50 = 40 work

Efficiency of A and C = 90 - 50 = 40/10 = 4 w/d

Now, 3 + C = 4

⇒ C = 1

Time taken by C = 90/1 = 90 days.

Given:

$\dfrac{3 \dfrac{1}{5} \div 4 \dfrac{1}{2} \ of \ 5 \dfrac{1}{3}+ \left[11- \left( 3 - 1 \dfrac{1}{4} + \dfrac{5}{8} \right) \right]+1 \dfrac{29}{120}}{\dfrac{8}{9} \div \dfrac{2}{3} + 2 \dfrac{1}{2} \ of \ \dfrac{3}{5}}$

Concept used:

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

Calculation:

$\dfrac{3 \dfrac{1}{5} \div 4 \dfrac{1}{2} \ of \ 5 \dfrac{1}{3}+ \left[11- \left( 3 - 1 \dfrac{1}{4} + \dfrac{5}{8} \right) \right]+1 \dfrac{29}{120}}{\dfrac{8}{9} \div \dfrac{2}{3} + 2 \dfrac{1}{2} \ of \ \dfrac{3}{5}}$

⇒ $\dfrac{ \dfrac{16}{5} \div\dfrac{9}{2} \ of \ \dfrac{16}{3}+ \left[11- \left( 3 - \dfrac{5}{4} + \dfrac{5}{8} \right) \right]+ \dfrac{149}{120}}{\dfrac{8}{9} \div \dfrac{2}{3} + \dfrac{5}{2} \ of \ \dfrac{3}{5}}$

⇒ $\dfrac{ \dfrac{16}{5} \div\dfrac{9}{2} \ of \ \dfrac{16}{3}+ \left[11-\left( \dfrac{24-10+5}{8}\right)\right]+ \dfrac{149}{120}}{\dfrac{8}{9} \div \dfrac{2}{3} + \dfrac{3}{2}}$

⇒ $\dfrac{ \dfrac{16}{5} \div\dfrac{9}{2} \ of \ \dfrac{16}{3}+ \left[11- \dfrac{19}{8} \right]+ \dfrac{149}{120}}{\dfrac{8}{9} × \dfrac{3}{2} + \dfrac{3}{2}}$

⇒ $\dfrac{ \dfrac{16}{5} \div\dfrac{9}{2} \ of \ \dfrac{16}{3}+\dfrac{69}{8} + \dfrac{149}{120}}{\dfrac{8}{9} × \dfrac{3}{2} + \dfrac{3}{2}}$

⇒ $\dfrac{ \dfrac{16}{5} ×\dfrac{1}{24}+\dfrac{69}{8} + \dfrac{149}{120}}{\dfrac{8 + 9}{6}}$

⇒ $\dfrac{ \dfrac{2}{5} ×\dfrac{1}{3}+\dfrac{69}{8} + \dfrac{149}{120}}{\dfrac{17}{6}}$ = $\dfrac{ \dfrac{2}{15} +\dfrac{69}{8} + \dfrac{149}{120}}{\dfrac{17}{6}}$

⇒ $\dfrac{ \dfrac{(16 + 1035 + 149)}{120} }{\dfrac{17}{6}}$ = $\dfrac{ \dfrac{1200}{120} }{\dfrac{17}{6}}$

⇒ $1200\over120$ × $6\over17$ = $3 \dfrac{9}{17}$

 

∴ The value of $\dfrac{3 \dfrac{1}{5} \div 4 \dfrac{1}{2} \ of \ 5 \dfrac{1}{3}+ \left[11- \left( 3 - 1 \dfrac{1}{4} + \dfrac{5}{8} \right) \right]+1 \dfrac{29}{120}}{\dfrac{8}{9} \div \dfrac{2}{3} + 2 \dfrac{1}{2} \ of \ \dfrac{3}{5}}$ is $3 \dfrac{9}{17}$.

Given:

Speed of boat in the still water = 5 × Speed of the current

Time taken by boat to cover 36 km downstream and 36 upstream = $3 \dfrac{3}{4}$ hrs

Formula used:

Distance = Speed × Time

Calculation:

The speed of the current is x km/hr, then, the speed of the boat in still water will be 5x km/hr.

∴ Downstream speed = (5x + x) = 6x

Upstream speed = (5x – x) = 4x

According to question:

⇒ 36/6x + 36/4x = 15/4

⇒ (72x + 108x)/12 = 15/4

⇒ 180x/12 = 15/4

⇒ x = 4

∴ The speed of the current = 4 km/hr

The speed of the boat in still water = 5x = 20 km/hr

So, the downstream speed = (20 + 4) km/hr = 24 km/hr

∴ The speed (in km/h) of the boat going downstream 24 km/hr.

Given:

Selling price of 20 articles = Rs. 2000

And loss = 10%

Formula Used:

While selling an article at a profit, we have:

SP = [(100 + %profit)/100] × CP

Similarly, while selling an article at a loss, we have:

SP = [(100 – %loss)/100] × CP

Here, SP = Selling Price, and CP = Cost Price.

Calculation:

According to the question,

SP of 20 articles = [(100 – %loss)/100] × CP of 20 articles 

⇒ 2000 = [(100 - 10)/100] × CP of 20 articles 

⇒ CP of 20 articles = 2000 × 100/90 = 20000/9

⇒ CP of 1 articles = 20000/9 × 20 = Rs. 1000/9

Again, 

SP = [(100 + %profit)/100] × CP

⇒ SP of 1 articles = (100 + 20)/100 × 1000/9

⇒ 120/100 × 1000/9 = Rs. 40/3

No. of articles = [2000/(40/3)] = 2000 × 3/400 = 15

∴ The Required articles will be 15.

Given:

A : B = 2 : 3 (Ratio of investment)

Time = 2 years

Formula used:

Amount = P{1 + (R/100)}T 

A = P + CI

Simple Interest = PRT/100

Where, P = Principal, R = Rate and T = Time

Calculation:

RateB = 15% p.a.

RateA = 15 × 4/3 = 20% p.a.

According to the question:

Scheme A offers compound interest,

Let the principal of Scheme A be 2x 

Amount A after 2yrs = 2x × (1 + 20/100)² 

⇒ 2x × 6/5 × 6/5 = 72/25 = 2.88x

Interest of A = 2.88x - 2 = 0.88x

Scheme B offers simple interest,

Let the principal of Scheme B be 3x 

Interest B after 2 years = (3x × 15 × 2)/100 = 0.9x

Now,

Difference b/w interest = 0.9x - 0.88x = 0.02x

Difference b/w amount invested = 3x - 2x = x

Again, according to the question,

0.02x = Rs. 1350

⇒ x = 1350/0.02 = Rs. 67500

Hint

B is 15% per annum and the rate of interest in A is $33 \dfrac{1}{3}\%$ more than that of B

$33 \dfrac{1}{3}\%$ = 100/300 = 1/3 so,

RateB = 15% p.a.

RateA = 15 × (1 + 3)/4 = 15 × 4/3 = 20% p.a.

Given:

A hollow cylinder of height 3 cm is melted and cast into a solid cylinder of height 9 cm

he outer radius and inner radius of the hollow cylinder are 4.3 cm and 1.1 cm

Formula used:

Volume of solid cylinder = πr2h

Volume of hollow cylinder = πR²h - πr²h = πh(R² - r²)

Total surface area = 2πr(h + r)

Calculation:

let the solid cylinder radius be x.

Volume of hollow cylinder = πh(R2 - r2)

⇒ π3[(4.3)2 - (1.1)2]

⇒ π3(5.4 × 3.2)      ----(1)

Volume of solid cylinder = πx²9    ----(2)

From equation(1) and equation(2);

π3(5.4 × 3.2) = πx29

⇒ x² = (18 × 32)/100 = 576/100

⇒ x2 = (24/10)²

⇒ x = 2.4

Total surface area = 2πr(h + r)

⇒ 2 × π × 2.4(2.4 + 9)

⇒ 2 × π × 2.4 × 11.4

⇒ 54.72 π cm²

∴ The total surface area (in cm2) of the solid cylinder is 54.72 π cm2.

Given:

A pipe can fill a cistern = 12 hours

Due to leak, it can empty a cistern = 16 hours

Let the pipe that can empty be B

Calculation:

LCM of 12 and 16 is 48

Let the total work is 48 units

The efficiency of A = (48/12) = 4 units/hour

The efficiency of B = (48/16) = 3 unit/hour

According to the question,

 If the efficiency of the pipe is increased by 50% and the efficiency of the Leak is halved

The efficiency of A = 4 × (150/100) = 6 units/hour

The efficiency of B = (3/2) = 1.5 unit/hour

⇒ If both pipe are open = 6 - 1.5 = 4.5 unit/hour

⇒ The time taken to fill 90% of the tank = (90/100) × (48/4.5) = 9.6 hours

⇒ The time taken to fill 90% of the tank = 9 + 0.6 × 60 = 9 hours 36 minutes

∴ The time taken to fill 90% of the tank is 9 hours 36 minutes

Given:

The sides of a triangular field are 949 m, 1095 m, and 1022 m.

Formula used:

Area of triangle = $\sqrt{s(s − a)(s − b)(s − c)}$s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√s(s−a)(s−b)(s−c)

s = (a + b + c)/2​

Where, s = semi perimeter

Concept used:

Area = 1/2 × AM × BC

Calculation:

s = (a + b + c)/2​

⇒ s = (949 + 1095 + 1022)/2 = 3066/2 = 1533

Area of triangle = $\sqrt{s(s − a)(s − b)(s − c)}$

⇒ $\sqrt{1533(1533 − 949)(1533 − 1095)(1533 − 1022)}$

⇒ $\sqrt{1533× 584 × 438 × 511}$

⇒ $\sqrt{511× 3 ×2 × 2 × 2× 73 × 2× 3 × 73 × 511}$

⇒ 511 × 3 × 4 × 73 = 447,636

Again, according to the concept,

Area = 1/2 × AM × BC

⇒ 447,636 = 1/2 × 1022 × AM

⇒ AM = 876 m

∴ The shortest distance from the 1022 m long side to its opposite vertex is 876.

Given:

The number of employees in companies A, B, C, D, E, and F are 320, 580, 450, 540, 660, 525

Calculation:

Accordiing to the question:

The total number of male employees in companies B,

⇒ 580/(18 + 11) × 18 = 360

The total number of male employees in companies D,

⇒ 540/(14 + 13) × 14 = 280

The total number of male employees in companies E,

⇒ 660/(25 + 41) × 25 = 250

The total number of male employees in companies F,

⇒ 525/(13 + 12) × 13 = 273

The total number of male employees in companies B, C , D, E and F = 

360 + 280 + 250 + 273 = 1163

Again,

The total number of female employees in companies A,

⇒ 320/(7 + 9) × 9 = 180

The total number of female employees in companies C,

⇒ 450/(8 + 7) × 7 = 210

The total number of female employees in companies E,

⇒ 660/(25 + 41) × 41 = 410

The total number of female employees in companies A, C , and E = 

180 + 210 + 410 = 800

Required percentage = (1163 - 800)/800 × 100 = 45.4

∴ The Required % is 45.4%.

Given:

The number of employees in companies A, B, C, D, E, and F are 320, 580, 450, 540, 660, 525

Calculation:

Accordiing to the question:

The total number of male employees in companies A,

⇒ 320/(7 + 9) × 7 = 140

The total number of male employees in companies B,

⇒ 580/(18 + 11) × 18 = 360

The total number of male employees in companies C,

⇒ 450/(8 + 7) × 8 = 240

The total number of male employees in companies D,

⇒ 540/(14 + 13) × 14 = 280

The total number of male employees in companies E,

⇒ 660/(25 + 41) × 25 = 250

The total number of male employees in companies F,

⇒ 525/(13 + 12) × 13 = 273

The total number of male employees in companies A, B, C , D, E and F 

140 + 360 + 240 + 280 + 250 + 273 = 1543

Again,

The total number of female employees in companies A,

⇒ 320/(7 + 9) × 9 = 180

The total number of female employees in companies B,

⇒580/(18 + 11) × 11 = 220

The total number of female employees in companies C,

⇒ 450/(8 + 7) × 7 = 210

The total number of female employees in companies D,

⇒ 540/(14 + 13) × 13 = 260

The total number of female employees in companies E,

⇒ 660/(25 + 41) × 41 = 410

The total number of female employees in companies F,

⇒ 525/(13 + 12) × 12 = 252

The total number of female employees in companies A, B, C , D and E = 

180 + 220 + 260 + 210 + 410 + 252 = 1532

∴ The difference between the total number of male employees and the total number of female employees from company A to F together = 1543 - 1532 = 11.

The correct answer is will be associated.

Key Points

• The given sentence is in simple past tense as can be inferred by the word 'found' used in the part '6,00,000 people found'.
• Thus, in the part- 'will be associated', 'will be' should be replaced by 'was'.
• The correct part should be: was associated with four percent decrease in diabetes risk without increasing the risk of a stroke.

<br>

Correct sentence: An analysis involving 6,00,000 people found that one table spoon of butter was associated with four percent decrease in diabetes risk without increasing the risk of a stroke.

The correct answer is 'Most ; more'.

Key Points

• Adjective and adverbs in superlative degree either end with '-est' in the sentence or with the word 'most'.
• Adjective and adverb in the superlative degree are preceded by the article 'the'.
• Adjective and adverb in comparative degree either ends with '-er' or with the word 'more'.
• Adjective and adverb in comparative degree are succeeded by 'than'.
• Thus, from the above-given explanation, it is clear that 'most' will be used in the first blank, and 'more' will be used in the second blank.

Therefore, the correct answer is 'HMS Bounty was one of the most recognizable ships in the world. It was a classic tall ship. Its three masts rose more than 100 feet.'

Additional Information 

• Adjective: Adjectives are the part of speech that are used to describe a noun or pronoun. There are three degrees of adjectives.**
• Positive degree: The positive degree is the simplest form of the adjective and has no special ending. It merely describes the quality, without expressing or suggesting any comparison.
• Example: Thomas is strong.
• Comparative degree: The comparative degree of an adjective is formed by adding the termination '-er' to the positive degree. It denotes that the quality exists in the object described in a higher degree than in some other object.
• Example: William is stronger than Thomas.
• Superlative degree: The superlative degree is formed by adding '-est' to the positive degree. It denotes that the quality exists in the highest degree in the object described.
• Example: Herbert is the strongest of the three.

The correct answer is 'Adege', i.e. it is the mis-spelt word.

Key Points

• 'Adege' is an incorrectly spelt word. Its correct spelling is 'Adage'.
• Adage: a proverb or short statement expressing a general truth.
• Example: He remembered the old adage "Look before you leap".
• Thus, from the above-given explanation, is clear that the correct answer is option 4.

Additional Information

• Let's explore the meaning of other given options:

The correct answer is 'affects; are'.

Key Points

• Here, in the sentence, there are two contrasting clauses connected with the conjunction 'but'.
• Clauses: A clause is a group of words that includes a subject and a verb and It can function as an adjective, an adverb, or a noun.
• In the first clause 'Lack....people' the subject of the cause is 'lack' which is singular and therefore will be succeeded by a singular verb according to the subject-verb agreement.
• In the second clause 'sleeping pills...answer', the subject is 'sleeping pills' which is plural and will be succeeded by a plural verb
• Thus, from the above-given explanation, 'affects' will be used in the first blank, and 'are' will be used in the second blank.

Therefore, the correct answer is: 'Lack of stipulated hours of sleep affects a lot of sleep, but sleeping pills are not the only answer.'

Additional Information

• Subject-verb agreement: It states that if in the sentence the subject is singular then the verb will be singular, and if the subject is plural then the verb will be plural.
• Example:
• He is planning a vacation in the Maldives.
• They are planning a vacation in the Maldives.

The correct answer is 'Prema told her teacher that she wanted to thank her (the teacher) for being so helpful. She (Prema) further said that she had brought that purse which she (Prema) had made in her Arts and Crafts class for her teacher. She would be very happy if the teacher accepted that purse.'

Key Points

• To convert a direct speech into indirect following rules need to be followed-
• The commas will be replaced with the conjunction 'that'.
• The tense of the sentence needs to be changed.
• Change the pronouns of the sentence.
• Thus, from the above-given rules, the correct answer is option 3.

Therefore the correct answer is: 'Prema told her teacher that she wanted to thank her (the teacher) for being so helpful. She (Prema) further said that she had brought that purse which she (Prema) had made in her Arts and Crafts class for her teacher. She would be very happy if the teacher accepted that purse.'

Additional Information

• Direct speech: Direct speech, also known as quoted speech, consists of words or phrases that are taken directly from the source. These words are quoted or written exactly as the words were originally spoken.
• Indirect speech: Indirect speech, also known as reported speech, is when words or phrases are reported in our own words. The original words are modified and/or interpreted as opposed to being quoted.

The correct answer is extent of life of coconut leave thatch.

Key Points

• The plural of leaf is leaves.
• So, the error is in part - extent of life of coconut leave thatch.
• Thus, leave should be replaced by leaves.
• It should be: extent of life of coconut leaves thatch.

<br>

Correct sentence: The Regional Research Laboratory, Trivandrum has helped women engaged in plaiting coconut leaves learn the process of extent of life of coconut leaves thatch.

• Woven coconut leaves known locally as cadjan are used as thatch, while coconut timber is used widely as rafters and in the furniture industry. Coconut leaves and roots are used as fuel for the hearth.

The correct answer is 'Faultless'.

Key Points

• Let's explore the meaning of the given word and the marked word.
• Flawless: without any mistakes or shortcomings.
• Example: The model’s flawless face showed off the make-up well because her skin was smooth and all one color.
• Faultless: free from defect or error.
• Example: Hans's English was faultless.
• From the above-given explanation, we can say that both 'Flawless' and 'Faultless' are synonyms to each other.
• Thus, the correct answer is option 2.

Additional Information

• Let's explore the meaning of other options:

 

The correct answer is 'Occasionally'.

Key Points

• 'Once in a blue moon' is an idiomatic phrase that means occasionally or very rarely.
• Example: Peter only comes out for a drink once in blue moon now that he has kids.
• Thus, from the above given explanation the correct answer is option 4.

The correct answer is 'Short-lived'.

Key Points

• Let's explore the meaning of the given words and the mark words.
• Enduring: continuing or long-lasting.
• Example: He formed a number of enduring relationships with women.
• Short-lived: lasting only a short time.
• Example: I had a few relationships at college, most of which were fairly short-lived.
• Thus, from the above-given explanation, we can say that both 'Enduring' and 'Short-lived' are antonyms to each other.
• Therefore, the correct answer is option 1.

Additional Information

• Let's explore the meaning of other options:

 

The correct answer is 'put off'.

Key Points

• Phrasal verb: A phrasal verb is a combination of words (a verb + a preposition or verb + adverb) that when used together, usually take on a different meaning to that of the original verb.
• Let's explore the options:

• From, the above-given explanation, it is clear that 'put off' will be used in the balnk.

Therefore, the correct sentence is: 'Do not put off consulting the doctor any more. This low grade fever has continued for about a fortnight.'

The correct answer is 'died; exploded'.

Key Points

• Let's look at the keyword 'recently', which makes this sentence an example of simple past tense.
• Simple past tense: It is used to represent an action that started in past, finished in past and has no relation with the present.
• Structure:
• Subject+ the second form of verb.
• Example: He played tennis.
• Therefore, 'died' will be used in the first blank and 'exploded' will be used in the second blank.

Thus, the correct sentence is: The CEO of a Malaysian company recently died after his smartphone exploded.

The correct answer is 'Onion is known not only to lower blood pressure and reduce incidents of heart attacks but it also helps to lower blood sugar by triggering increased insulin production.'

Key Points

• In the given example, three complete sentences are given to combine and make it into a single sentence.
• Generally conjunctions are used to combine two or more complete sentences.
• Correlative conjunction: Correlative conjunctions correlate, working in pairs to join phrases or words that carry equal importance within a sentence. These are 'Either....or', 'neither....nor', 'Not only...but also'.
• Thus, out of all the options, only option 2 uses the conjunctions correctly.
• Therefore, the correct answer is option 2.