DSSSB TGT Natural Science Female - 27 Sept 2018 Shift 3 (Previous Year Paper)

The positions of the letters according to the English alphabet series:

The pattern follows here is;

Hence, "M" is the correct answer.

The pattern followed here is;

In step 1:

The figure is rotated 90° anti-clockwise direction.

→

In step 2:

The figure is rotated 90° anti-clockwise direction.

→

In step 3:

The figure is rotated 90° anti-clockwise direction.

→

So, the correct image is :

Hence, option (2) is the correct answer.

Five years ago the ration of ages of Jam, Vihan and Mahesh = 3 : 4 : 5

Let;

Age of Jam five years ago = 3P

Present age of Jam = 3P + 5

Age of Vihan five years ago = 4P

Present age of Vihan = 4P + 5

Age of Mahesh five years ago = 5P

Present age of Mahesh = 5P + 5

According to question;

Total age of Jam, Vihan, and Mahesh at present = 75 years

Jam + Vihan + Mahesh = 75 years

(3P + 5) + (4P + 5) + (5P + 5) = 75

12P + 15 = 75

12P = 75 - 15 = 60

P = 5

So, the present age of Mahesh = 4P + 5

= 5 × 5 + 5

= 25 + 5

= 30 years

Hence, "30 years" is the correct answer.

All conditions are as follows;

Shravani follows all criteria except (a) and (b)

So, the case is referred to Junior Accountant.

Hence, option (4) is the correct answer.

Rat belongs to Rodent class.

Similarly;

Snake belongs to Reptile class.

Hence, "Reptile" is the correct answer.

Additional Information

• Rodents are mammals of the order Rodentia, which are characterized by a single pair of continuously growing incisors in each of the upper and lower jaws. Well-known rodents include mice, rats, squirrels, prairie dogs, porcupines, beavers, guinea pigs, hamsters, and gerbils.
• An animal that has cold blood and skin covered in scales, and whose young ones come out of eggs, for example, crocodiles and snakes.

The pattern followed here is;

Hence, "48" is the correct answer.

The embedded part of this image is:

Hence, Option (3) is the correct answer.

The given figure when folded is as follows:

→

Hence, option (2) is the correct answer.

The logic followed is:

Decoding the information, 

 

Given the equation: 25B5P9T3M7 = ?

After replacing the signs from left to right and using the BODMAS rule,

25B5P9T3M7

= 25 ÷ 5 × 9 - 3 + 7

= 5 × 9 - 3 + 7

= 45 - 3 + 7

= 49

Hence, the correct answer is "49".

1) Chair and Tables are Furniture.

Both are different.

2. Shirt is a garment.

3. Pen is a stationary item.

4. Cup is crockery.

Hence, "Chair : Table" is the correct answer.

The total number of books published by the company = 12,462

Books of preschool level education are published by XYZ in 2016-17 = 18 % of Total number of Books

= (18 × 12462)/100

= 2243.16

= 2243 (approx)

Hence, "2243" is the correct answer.

The region belongs to singers but neither doctors nor Americans:

Singers did not include Doctors and Americans.

Hence, "4" is the correct answer.

The pattern followed here is;

In step 1:

The upper arrow is fixed and the right arrow is rotated 90° clockwise direction.

In step 2:

The upper arrow is fixed and the bottom arrow is rotated 90° clockwise direction.

In step 3:

The upper arrow is fixed and the left arrow is rotated 90° clockwise direction.

So, the correct image is :

Hence, option (1) is the correct answer.

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Hence, Nitya is the cousin of Varun.

LOGIC: In each figure, the right side letter is a mirror image of the left side letter.

In figure A:

In Figure B:

In Figure C:

In Figure D:

But the given figure is:

Hence, option (3) is the correct answer.

The pattern follows here is;

One line is removed in the first step and the next step arrow is removed.

So the next term is;

Hence, option (3) is the correct answer.

The logic followed is:

The two main (and most important) parts of a rose plant are the stamen (male component) and the pistil (female component). Other parts include the petals, sepals, leaves, and stems. Each of these also contains sub-parts that are all responsible for the growth and reproduction of the plant.

The petals refer to the blooms of a flower.

They are comprised of cellulose and other organic material.

They are basically, modified leaves that surround the reproductive structure of the flower.

Collectively, the petals are known as the corolla. 

• There are specific characteristics pertaining to the rose. These include the following:
• It contains multiple stamens
• It has leaves that grow in alternate patterns on the stem
• It is symmetrical in shape
• It has unconnected petals that number in five or multiples of five
• It contains prickles or thrones on the stems, which vary in size, shape and amount and can be used to identify one species of rose from another
• It has bisexual reproductive parts

Thus we can say a rose flower always has petals out of all the given options. 

If it would have asked about a plant, it always has the roots but the question is talking about flowers. So flowers always have petals.

Hence, the correct answer is "Petals".

• The correct answer is Option 3: Use some means to rescue the puppy immediately

 

• Qualities Projected in this situation:  (Effective intelligence, speed of decision, liveliness, and Cooperation).

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.

LOGIC: Second number is divisible by by First Number.

1) In 9 : 36 →

36 ÷ 9 = 4

2) In 6 : 18 →

18 ÷ 6 = 3

3) In 4 : 27 →

27 ÷ 4 = 6.75 (Not completely divisible)

4) in 10 : 50 →

50 ÷ 10 = 5

Hence, "4 : 27" is the correct answer.

The logic followed is:

Given:

i). Every four guests used a bowl of rice between them.

ii). Every five guests used a bowl of dal between them.

iii) There were altogether 54 dishes.

Let the total number of guests be x.

Number of bowls of rice = x/4

Number of bowls of dal = x/5

A.T.Q

x/4 + x/5 = 54

(5x + 4x)/20 = 54

9x = 54 × 20

9x = 1080

x = 120 

Hence, the correct answer is "120".

The correct answer is Landholders Society.

Key Points

• Landholders’ Society also known as the Zamindari Association is considered to be the first political association of modern India.
• It was formally launched in Calcutta in March 1838.
• It was founded to safeguard the interests of the landlords.
• Although limited in its objectives, the Landholders’ Society marked the beginning of organized political activity and the use of methods of constitutional agitation tor the redressal of grievances.
• Raja Radhakant dev, Dwarkanath tagore, Prasanna Kumar Tagore, Rajkamal Sen and Bhabani Charan Mitra were its founding members.
• In 1851, both the Landholders’ Society and the Bengal British India Society merged into the British Indian Association.
• The President of the first committee of the association was Raja Radhakanta Deb, while Debendranath Tagore was its secretary.
• The newspaper of this society was “Hindu patriot”, whose editor was Harish Chandra Mukherjee, which adopted a strongly critical political tone.
• Dwarkanath Tagore was associated with the founding of Landholders’ Society.

​

Additional Information

• The Madras Native Association and the Bombay Association were established in 1852.
• An Indian independence activist, Gazulu Lakshminarasu Chetty founded the Madras Native Association.
• The association was a platform for educated Indians to protest against any injustice on the part of the British.
• The first political organization of the Bombay Presidency was the Bombay Association which was started on 26 August 1852, to vent public grievances to the British.
• Poona Sarvajanik Sabha:​
• The ​Poona Sarvajanik Sabha was founded on April 2, 1870 by S. H. Chiplunkar, Ganesh Vasudeo Joshi and Mahadev Govind Ranade in Pune.
• It was formed to represent the rights of peasants.
• It is a precursor to the Indian National Congress.
• Bhawanrao Shriniwasrao Pant Pratinidhi, the ruler of Aundh State was the first president. He held the post till 1897.
• Bal Gangadhar Tilak and Gopal Hari Deshmukh also served as presidents.
• On March 29, 2016, Meera Pavagi was elected as president

The correct answer is 57^th.

Key Points

• The Global Innovation Index (GII) has ranked India as the 57^th most innovative nation in the world in 2018.
• India has been improving steadily since it was ranked 81^st in 2015.
• The theme of the 2018 GII edition is "Energizing the World with Innovation" .

Important Points

• The Index is published by the World Intellectual Property Organization (WIPO), in association with the Cornell University and the Graduate Business School INSEAD.
• The index was first released in 2007 and is released annually.
• It provides detailed metrics about the innovation performance of the countries and economies around the world. Its 80 indicators explore a broad vision of innovation, including political environment, education, infrastructure, and business sophistication.
• The index is based on both objective and subjective data compiled from various sources including the World Bank, the International Telecommunication Union (ITU), and the International Monetary Fund.
• The Global Innovation Index (GII) 2020 - India ranked 48 in the index.
• The GII 2020 is the 13^th edition of the index.
• The theme for the 2020 index is “Who will Finance Innovation?”

The correct answer is Shobha Gurtu.

Key Points

• Shobha Gurtu, original name Bhanumati Shirodkar, renowned singer of Indian classical music.
• Known for her rich earthy voice, distinctive vocal style, and mastery of various song genres, she was considered the “queen of thumri,” a light classical Hindustani style.

Important Points

• Thumri:
• Thumri originated in the Eastern part of Uttar Pradesh, mainly in Lucknow and Benares, in the 18^th century AD.
• It is influenced by Hori, kajri and Dadra.
• Thumri is a romantic and erotic style of singing and is also called ‘the lyric of Indian classical music.
• The song compositions are mostly of love, separation, and devotion.
• Its most distinctive feature is the erotic subject matter picturesquely describing the various episodes from the lives of Lord Krishna and Radha.
• Thumri is usually performed as the last item of a Khayal concert.
• There are three main gharanas of thumri–Benares, Lucknow, and Patiala.
• Begum Akhtar, Gauhar Jan, Shobha Gurtu, Noor Jehan, and Prabha Atre are associated with Thumri.

Additional Information

The correct answer is Spain.

Key Points

• Spain won the Fair Play Trophy which goes to the team with the tournament’s best disciplinary record. The winner is selected by the FIFA Technical Study Group.
• Belgium's Thibaut Courtois was awarded the Golden Glove award for being the best goalkeeper of the tournament.
• Kane was awarded the Golden Boot for scoring six goals in the tournament while Modric's clinical display in Croatia's best-ever World Cup run earned him the Golden Ball award in Russia 2018.

Additional Information

The correct answer is Later Vedic.

Key Points

• The institution of gotra appeared in the later Vedic age.
• It means the “cow pen” or the place where cattle belonging to the whole clan is kept, but over time, it signified descent from a common ancestor.
• No marriage could take place between persons belonging to the same gotra or having the same ancestor.
• Caste exogamy was widely practised.
• Gotras were named after legendary seers like Kashyapa, Bharadvaja, Gautama, Bhrigu, among others.

Important Points

The correct answer is Agartala.

Key Points

• The first meeting of the India-Bangladesh Joint Committee on Border Haats was held on 22-23 July 2018 in Agartala, Tripura.

• In the meeting, both sides noted the positive impact of Border Haats on the livelihoods of the people living in areas adjoining the Haats.

• The Memorandum of Understanding (MoU) on Border Haats between India and Bangladesh signed on 8^th April 2017 provides for the establishment of a Joint Committee to review the border haats operations, suggest modifications in the operational modalities and propose new locations of Border Haats.

• The Joint Committee visited the Border Haat at Kamlasagar (Sipahijala District, Tripura) – Tarapur (Brahmanbaria, Bangladesh) on 22 July 2018, appreciated its vibrant functioning and noted the need for improvement of infrastructure.

• Bangladesh PM Sheikh Hasina gave away the highest civilian award of Bangladesh ‘Swadhinta Puraskar 2021’ also known as Independence Award to nine individuals and a research organisation on 20 May 2021.

• It is conferred on people or organizations for their outstanding contribution to the various fields.

• The recipients of the award get a gold medal and a cash reward of Taka 5 lakh.

• The award for the year 2021 included four posthumous awards given to:

• AKM Bazlur Rahman.

• Shaheed Ahsanullah Master.

• Brigadier General Khurshid Uddin Ahmed.

• Akhtaruzzaman Chowdhury Babu.

Additional Information

• Bangladesh: 
• Capital - Dhaka.
• Currency - Bangladeshi Taka.
• President - Abdul Hamid.
• Prime Minister - Sheikh Hasina.
• National Sport - Kabaddi.

The correct answer is Kerala.

Key Points

• Kerala stands as the best-governed state in the country.
• It is according to Public Affairs Index 2018.
• Released by the think tank Public Affairs Centre in Bengaluru.
• Released annually since 2016, the index examines governance performance in the states through a data-based framework, ranking them on social and economic development they are able to provide.

 

Additional Information

The correct answer is Tamil Nadu.

Key Points

• Mettur Dam was built in 1934 and the Mettur Hydro Electrical power project is located in Tamil Nadu.
• It is the largest dam in India Tamil Nadu.
• Mettur Project has been constructed over the Kaveri river.
• The United Kingdom helps in the construction by providing funds for the dam.

Additional Information

The correct answer is Jats.

Key Points

• The Revolt of 1857 was a failure because of the following reasons:
• Lack of unity and poor organization among the Indians.
• Lack of complete nationalism since the Scindias, Holkars and the Nizam was against the Indians and helped the British.
• Lack of coordination among the sepoys, the zamindars, the peasants and other classes.
• There was no single motive for this mutiny since everybody had different objectives in participating in this mutiny.

 

Additional Information

• Revolt of 1857:
• It occurred during the reign of Governor-General Lord Canning.
• Causes of Revolt of 1857:
• Heavy taxation
• The ruin of the Indian Industry
• Policies like Subsidiary Alliance and the Doctrine of Lapse
• Enfield Rifle
• Centres of Revolt and Their leaders:
• Delhi: Bahadur Shah and General Bakht Khan.
• Kanpur: Nana Sahib/Dhondu Pant (adopted son of Baji Rao II), Tantia Tope and Azimullah Khan.
• Jhansi: Rani Lakshmi Bai.
• Lucknow: Begum Hazrat Mahal, her son Birjis Qadr.
• Faizabad: Maulvi Ahmadullah.
• Bareilly: Khan Bahadur Khan.
• Bihar: (Arrah) Kunwar Singh, Zamindar of Jagdishpur.

The correct answer is Luanda.

Key Points

• Luanda is the capital and largest city of Angola.
• The New Kwanza is the currency of Angola.
• The currency has its name derived from the Kwanza River.
• The Cuanza (Kwanza) River is the longest river at 966 kilometres, situated in the central part of the country.
• The time zone of Angola in West Africa Time(WAT) is 1 hour ahead of Coordinated Universal Time(UTC).

Additional Information

• Country and Capital
• Cyprus: Nicosia.
• Ghana: Accura.
• Nigeria: Abuja.

The correct answer is Sunil Chhetri.

Key Points

• After scoring two goals in the finals of the Hero Intercontinental Cup 2018, Sunil Chhetri became the joint second highest international goal scorer among active players along with Argentine superstar Lionel Messi.

• So far in the international football arena, Sunil Chhetri has scored 64 goals in 102 matches and equalled Lionel Messi.

• in terms of the number of goals per match, Chhetri is better than Messi. Sunil Chhetri has scored 0.62 goals per match as against 0.52 of Messi. Messi has scored 64 goals from 124 matches. He also now has a better goal average than Cristiano (0.54 per match).

• Chhetri has scored 0.62 goals per match as against 0.52 of Messi (64 goals from 124 matches).

• Indian football talisman Sunil Chhetri has surpassed Argentina's global superstar Lionel Messi to become the second-highest active international goal-scorer with 74 strikes.

• The 36-year-old Chhetri achieved the feat with his brace against Bangladesh in the joint preliminary qualifying round match for the 2022 FIFA World Cup and 2023 AFC Asian Cup.

• The seasoned striker, who helped India register their first win in six years in World Cup qualifiers, now stands only behind Portugal's Cristiano Ronaldo (103) in the active international goal-scorers list.

The correct answer is Article 106.

Key Points

• Draft Article 86 (Article 106, Constitution of India, 1950) was discussed on 20 May 1949.
• Article 106 of India's Constitution describes the member of either house is eligible to receive a salary that the Parliament determined from time to time.

​

Additional Information

The correct answer is Microbiology.

Key Points

• The term 'Biology' was introduced by Lamarck.
• Biology is the science of life.
• Biology can be divided into several branches like Botany, Zoology, microbiology, virology, genetics, ecology, morphology, biotechnology, etc.
• Microbiology: 
• It is the study of microscopic organisms, such as bacteria, viruses, archaea, fungi, and protozoa.
• Antonie Van Leeuwenhoek is known as the Father of Microbiology.
• He was a Dutch scientist.
• He established microbiology as a separate scientific discipline and is also known for carrying out pioneering work in microscopy.

Additional Information

The correct answer is Manipuri.

Key Points

• Manipuri is one of the six major classical dances of India.

• Indigenous to Manipur, the most fascinating aspects of this dance form are its colourful decoration, lightness of dancing foot, the delicacy of abhinaya (drama), lilting music and poetic charm.

• This dance, also known as “Jogai”, displays the love between Radha-Krishna through Raaslila.

• The Manipuri dance form is categorized as Tandav or Lasya and incorporates significant movements of hands and upper body.

• Ghunghroos (Bells), which are worn in other dance forms, are not worn here.

• The different types of Manipuri dance styles are Tal Rasak, Danda Rasak and Mandal Rasak.

• Some of the most famous performers of this dance are Guru Bipin Sinha, Nirmala Mehta and Savita Mehta.

• Rabindranath Tagore performed the Manipuri dance in Santiniketan and brought back its fame.

• In the year 1919, it was decided by Rabindranath Tagore to include the Manipuri dance in the curriculum of Santiniketan.

• He took this decision after witnessing a dance performance in Sylhet.

• He requested the king of Tripura to send a Manipuri dance teacher and acknowledging his request he sent Rajkumar Buddhimanta Singh to Santiniketan.

• Also, Nileswar Mukherjee of Bhanugach joined Santiniketan as a Manipuri dance teacher.

• Debendranath Tagore, the grandson of Rabindranath Tagore's eldest brother, was in charge of the music department in the school of Rabindranath Tagore.

Additional Information

• T. Balasaraswati, in full Thanjavur Balasaraswati, (born May 13, 1918, Madras [now Chennai], India died February 9, 1984, Madras).
• She was an Indian dancer and singer in the Karnatak (South Indian) tradition.
• She was one of the 20^th century’s foremost exponents of the Bharata Natyam style of classical dance.

The correct answer is 734.

Key Points

• Sports Authority of India (SAI) under the Union Ministry of Sports and Youth Affairs has cleared 734 athletes for the scholarship under the Khelo India Talent Development Scheme.
• They were selected High Powered Committee of SAI.
• Through this programme, the athletes will get training at government-accredited residential academies.
• They will be provided with annual stipend of Rs. 1,20,000 on quarterly basis to meet their out of pocket expenses, treatment of injuries and other expenses.

 

• The Khelo India Scheme aims to encourage sports all over the country, thus allowing the population to harness the power of sports through its cross-cutting influence, namely holistic development of children & youth, community development, social integration, gender equality, healthy lifestyle, national pride and economic opportunities related to sports development.
• The Sports Ministry has approved the inclusion of four indigenous games to be a part of the Khelo India Youth Games 2021.
• The games include Gatka, Kalaripayattu, Thang-Ta, and Mallakhamba.
• Kalaripayattu has its origin in Kerala.
• Mallakhamba originates from Madhya Pradesh.
• Gatka originates from the state of Punjab.
• Thang-Ta originates from Manipur.​
• Sports Minister Kiren Rijiju has included Yogasana in Khelo India Youth Games 2021 in a bid to develop it as a competitive sport.
• Yogasana sport for both male and female categories have been included in Khelo India Youth Games, 2021.

The correct answer is Municipalities.

Key Points

• Part IX-A of the Indian constitution deals with municipalities.
• It was added by the 74^th amendment act of the Indian Constitution.
• The 74^th amendment act was introduced in 1992.
• It came into force on 1^st June 1993.
• Part IX-A of the Indian constitution covers Article 243 P to 243 ZG.
• The act added a new twelfth schedule to the Indian constitution.
• The first municipal corporation in India was set up in Madras in 1688.
• The Municipal Corporation of Bombay and Calcutta was set up in 1726.

Additional Information

The correct answer is Maharashtra.

Key Points

• Lezim is a folk dance associated with Maharashtra.
• Lezim is called "Lezium" in which dancers carry small instruments called Lezim or Lezium.
• It is often played during the Ganesh festival.
• Other important dances of Maharashtra - Lavani, Nakata, Koli, Gafa, Dahikala.

Additional Information

The correct answer is Noida.

Key Points

• Prime Minister Narendra Modi and visiting South Korea President Moon Jae-in jointly inaugurated the World's largest mobile manufacturing factory in Noida in Uttar Pradesh.
• The South Korean technology giant Samsung makes 67 million smartphones in India and with the new plant, it is expected to manufacture nearly 120 million.
• By 2022, India’s smartphone users are expected to shoot up to a whopping 442 million.

Additional Information

• Samsung-
• The Samsung Group is a South Korean multinational company.
• It was founded in 1938 by Lee Byung Chul as a trading company.
• Samsung is the world's largest smartphone company manufacturer.
• Headquarters - Suwon-si, South Korea
• Vice-Chairman & CEO - Kim, Ki Nam

The correct answer is 1960.

Key Points

• 1^st of May is also celebrated as 'Maharashtra Day and Gujarat Day'.
• In the year 1960, an act was passed by the Parliament of India.
• The act was called the Bombay Reorganization Act and it was passed with the aim to divide the state of Bombay, into two states Gujarat and Maharashtra.
• The act was passed and legislation became effective on the first of May, 1960.

Additional Information

• As of May 2023

Important Points

• Shri C. P. Radhakrishnan was sworn in as the Governor of Maharashtra on 31^st July 2024.

The correct answer is Ankara.

Key Points

• The Baghdad Pact was a defensive organization for promoting shared political, military and economic goals founded in 1955 by Turkey, Iraq, Great Britain, Pakistan and Iran.
• Similar to the North Atlantic Treaty Organization and the Southeast Asia Treaty Organization, the main purpose of the Baghdad Pact was to prevent communist incursions and foster peace in the Middle East.
• It was renamed the Central Treaty Organization, or CENTO, in 1959 after Iraq pulled out of the Pact.
• After the withdrawal of Iraq from the Baghdad Pact, CENTO moved its headquarters to Ankara, Turkey.

Additional Information

Given:

The difference between compound interest and simple interest = Rs. 496

Time = 3 years

Rate = 10%

Formula used:

Difference between C.I and S.I for 3 years = P(R/100)2(3 + R/100)

Calculation:

According to the question,

C.I – S.I = P × (10/100)2(3 + 10/100)

⇒ 496 = P × 1/10 × 1/10 × 31/10

⇒ P = 16000

∴ The sum in rupees is Rs. 16000.

 

Given:

The difference between compound interest and simple interest = Rs. 496

Time = 3 years

Rate = 10%

Formula used:

(CI) $= ;P;{\left( {1 + \frac{r}{{100}}} \right)^n}$

 

Where, P is principal value, r is rate in percentage and n is time in years

Calculation:

CI = P(1+ 10/100)3 = P (1.1)3     ----(i)

Formula of simple interest $= P + \frac{{P × r × n}}{{100}}$

$= ;P\left[ {1 + \frac{{10 × ;3}}{{100}}} \right]; = {\rm{;}}1.3{\rm{P;;;;}}$     ----(ii)

According to the question,

⇒ CI – SI = 496     ----(iii)

Replacing, CI and SI from (i) and (ii)  in (iii),

⇒ P(1.1)3 - 1.3P = 496

⇒ 0.031P = 496

⇒ P = Rs. 16000

∴ The sum in rupees is Rs. 16000.

Given:

Selling price = Rs. 2880

Loss =  $\dfrac{1}{7}$ × cost price

Formula used:

Profit % = [(SP - CP)/CP] × 100%

Loss = CP − SP

SP = CP(100 + gain%)/100

Where, SP = Selling price, CP = Cost price

Calculation:

According to the question,

Loss = CP − SP

⇒ ​​Cost price/7 = CP - 2880

⇒ CP = 7CP - 20160

⇒ 6CP = 20160​​

⇒ CP = 20160/6 = 3360

Now,

SP = CP (100 + gain%)/100

⇒ SP = (3360 × 115)/100 = Rs. 3864

∴ The required answer is Rs. 3864.

Given:

2a : 3b : 4c = 5 : 6 : 7

Calculation:

2a/3b = 5/6

⇒ a/b = (5 × 2)/(4 × 2) = 10/8

3b/4c = 6/7

⇒ b/c = 8/7

a : b : c = 10 : 8 : 7

∴ The value of a : b : c = 10 : 8 : 7.

Hint

To find A : B : C, B is made same in both the ratios. L.C.M of 4 and 8 is 8.

Given:

The greatest four digit number which when divided by 12, 18, 21 and 28 leaves respectively 7, 13, 16 and 23 

Concept:

The greatest number which when divided by a, b and c leaves the remainder p, q and r respectively, is given by = LCM of (a, b, c) – N

Where, N = (a – p) = (b – q) = (c – r)

Calculation:

According to the question

12 - 7 = 5

18 - 13 = 5

21 - 16 = 5

28 - 23 = 5

LCM of 12, 18, 21, 28

12 =  3 × 2 × 2

18 = 2 × 3 × 3

21 = 3 × 7

28 = 2 × 7 × 2

LCM = 2 × 2 × 3 × 3 × 7 = 252

Greatest 4 digit number = 9999

Greatest 4 digit number divisible by 252 = 9828

The number is 9828 - 5 = 9823

Sum of the digit = 9 + 8 + 2 + 3 = 22

∴ Sum of the digit is 22.

Given:

Time taken to complete the whole work by A and B = 12 days

Time taken to complete the whole work by B and C = 15 days

Time taken to complete the whole work by C and A = 20 days

Concept used:

Efficiency = Work done/Time taken

Calculation:

Let the total work be LCM of 12, 15, 20  i.e. 60 units.

Let the efficiency of A, B and C be a, b and c respectively.

Efficiency of A and B together,

⇒ a + b = 60/12 = 5 units/day      ----(1)

Efficiency of B and C together,

⇒ b + c = 60/15 = 4 units/day      ----(2)

Efficiency of C and A together,

⇒ c + a = 60/20 = 3 units/day      ----(3)

Adding equation (1), (2) and (3), we get,

⇒ (a + b) + (b + c) + (c + a) = 5 + 4 + 3

⇒ 2a + 2b + 2c = 12

⇒ a + b + c = 12/2 = 6 units/day

⇒ a = 6 - (b + c)

⇒ b = 6 - 4

⇒ b = 2

Time taken by A to complete the whole work alone = 60/2 = 30 days.

A complete the 150% of the work = 30 × 150/100 = 45 days

∴ A complete the 150% of the work in 45 days.

Concept used:

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

Calculation:

$\dfrac{7\div3\dfrac{1}{3}}{\sqrt{0.09}}+\dfrac{2^3\div4^2}{\dfrac{1}{8}\times[1.8-(-0.2\times7)]}-[0.7+(2\times0.3)]$

⇒ $\dfrac{7\div\dfrac{10}{3}}{{0.3}}+\dfrac{8\div16}{\dfrac{1}{8}\times[1.8 + 1.4]}-[0.7+0.6]$

⇒ $\dfrac{7\div\dfrac{10}{3}}{{0.3}}+\dfrac{8\div16}{\dfrac{1}{8}\times[3.2]}-1.3$

⇒  $\dfrac{7\times \dfrac{3}{10}}{{0.3}}+\dfrac{0.5}{0.4}-1.3$

 

⇒  $\dfrac{2.1}{{0.3}}+\dfrac{0.5}{0.4}-1.3$

⇒ ${7} +{1.25}{}-1.3$

⇒ 8.25 - 1.3 = 6.95

∴ The value of $\dfrac{7\div3\dfrac{1}{3}}{\sqrt{0.09}}+\dfrac{2^3\div4^2}{\dfrac{1}{8}\times[1.8-(-0.2\times7)]}-[0.7+(2\times0.3)]$ is equal to 6.95.

Given:

Radius = 8 cm

Radius of small spheres = 0.5 cm

Concept used:

The volume of original sphere = The total volume of all small spheres

Formula used:

Total volume of sphere = (4/3)πr3

where, r = radius of sphere

Calculations:

Let the number of small sphere be n.

The volume of sphere melted = (4/3) × (22/7) × (8)³ 

The volume of all small spheres = (4/3) × (22/7) × (0.5)3

⇒ (4/3) × (22/7) × (0.5)³ × n = (4/3) × (22/7) × (8)3

⇒ (1/2)³ × n = 512

⇒ n = 512 × 8

⇒ n = 4096

∴ The number of small spheres made is 4096.

Given:

The parallel sides of a trapezium are 10 cm and 18 cm

Each non parallel side is 8 cm

Formula used:

Area of trapezium = 1/2 × (Sum of parallel sides) × Height

Calculation:

Draw CF and DE perpendicular on AB

AS, DC is parallel to AB and and DE is parallel to CF

⇒ DCEF is a parallelogram

Also, ∠DEF = ∠CFE = 90°

⇒ DCEF is a rectangle

⇒ EF = 12 cm

⇒ AE + EF + FB = 18 cm

⇒ AE + 10 + FB = 18 cm

⇒ AE + FB = 8 cm

⇒ 2 × AE = 8 (AE = AF)

⇒ AE = 4 cm

⇒ FB = 4 cm 

In ΔDEA, By using pythagoras theorem

⇒ DA2 = DE2 + AE2

⇒ 82 = DE2 + 42 

⇒ DE2 = 64 - 16

⇒ DE2 = 48

⇒ DE = 4√3 cm = Height of trapezium

⇒ Area of trapezium = 1/2 × (Sum of parallel sides) × Height

⇒ Area of trapezium = 1/2 × (10 + 18) × 4√3 = 96.88 = (97 cm² nearest)

∴ Area of trapezium is 97 cm2

Given:

n(A) = 40

n(B) = 55

Formula used:

Using set theory,

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

Let A and B represent the students play cricket and football respectively.

20% of the students neither play football nor cricket. It means 80% of the students either play football or cricket or both.

According to the question,

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

⇒ 80 = 40 + 55 - n(A ∩ B)

⇒ n(A ∩ B) = 95 - 80 = 15

∴ 15% students play both games.

Given:

n first case:

Speed(S1) = 40 km/hr

Distance(D1) = 10 km

In second case:

Speed(S2) = 50 km/hr

Distance(D2) = 20 km

Formula:

Average Speed = (Total Distance/Total Time)

Time = Distance/Speed

Calculation:

Total Distance = 10 + 20 = 30 km

According to the question:

In first case:

Time = 10/40 = 1/4 hrs

In second case,

Time = 20/50 = 2/5

Total Time = 1/4 + 2/5 = (4 + 13)/20 = 13/20

Average Speed = (Total Distance/Total Time)

Average Speed = 30/(13/20) = 30 × 20/13 = 600/13 = 46.15 (46.2 approx)

∴ The average speed of whole journey is 46.2 km/hr.

Given:

Two pipes A and B can fill a tank in 4 hours and 6 hours respectively,

Calculation:

Let the required time be x hours.

According to the question,

Now, part A filled by in (2 + x) hours + part B filled by in 2 hours - part C empty by in (2 + x) hours 

⇒ (2 + x)/4 + 2/6 - (2 + x)/8 = 1

⇒ (12 + 6x + 8 - 6 - 3x)/24 = 1

⇒ 3x + 14 = 24

⇒ 3x = 10

⇒ x = 10/3 hours

Total time = 10/3 + 2 = 16/3 hours

∴ The required time is 16/3 hours.

Concept used:

When boat travel in the direction of the current the speed of the boat and current will be added.

When boat travel in the opposite direction of current the speed of the boat and current will be subtracted.

Formula used:

Speed in the downstream direction,

D = x + y

Speed in the upstream direction,

U = x - y

Where,

D = Speed in the downstream direction, U = Speed in the upstream direction

x = Speed of the boat in still water, y = speed of the current

Time = Distance/Speed

Calculation:

Let the speed of boat downstream be 5x

The speeds of boat upstream is 3x

According to the question,

20/5x + 20/3x = 4

⇒ 20(3 + 5)/15x = 4

⇒ 20 × 8/15x = 4

⇒ x = 8/3

The speeds of boat upstream = 3x = 3 × 8/3 = 8 km/hr

∴ The speeds of boat upstream is  8 km/hr.

Given:

HCF = 26

Product of numbers = 22984

Calculation:

Let the number be 26a and 26b

26a × 26b = 22984

ab = 34

Co-prime factors of 17

(2, 17)

Required Number = 26a = 26 × 2 = 52, and 26b = 26 × 17 = 442

Sum of there reciprocal,

1/a + 1/b = (a + b)/ab = 494/22984 = 247/11492

∴ The sum of the reciprocal of numbers is 247/11492.

Given:

Spends $\dfrac{1}{3}$ of his income at 6% per annum, $\dfrac{3}{5}$ at 7% per annum and the rest at 18% per annum

Total Interest = Rs. 1221

Calculation:

Let the Income be Rs.x

According to the question,

Remaining = x - (x/3 + 3x/5) = x/15

(x/3 × 6)/100 + (3x/5 × 7)/100 + (x/15 × 18)/100 = 1221

⇒ 1/100(2x + 21x/5 + 18x/15) = 1221

⇒ (30x + 63x + 18x)/15 = 122100

⇒ 111x/15 = 122100

⇒ x = 16,500

∴ The Income is Rs.16,500.

Formula used:

a³ + b³ = (a + b)(a² + b² - ab)

Calculation:

$\dfrac{78.5×78.5×78.5+21.5×21.5×21.5}{785×785+215×215-785×215}$

⇒ (1/1000) $\dfrac{785^3+215^3}{785×785+215×215-785×215}$

According to the formula:

Where, a = 785, b = 215

⇒ (1/1000)$\dfrac{(785+215){(785×785+215×215-785×215)}}{785×785+215×215-785×215}$

⇒ (1/1000) × (785 + 215)

⇒ (1/1000) × 1000 = 1

∴ The value of $\dfrac{78.5\times78.5\times78.5+21.5\times21.5\times21.5}{785\times785+215\times215-785\times215}$ is 1.

Given:

Ratio of Spirit and Water in vessel A = 5 : 2

Ratio of Spirit and Water in vessel B = 8 : 5

Concept Used-

If A and B are mixed in ratio of x : y, then part of A in Mixture = x/(x + y) 

Calculation-

Part of Spirit and Water in vessel A = 5/7 and 2/7

Part of Spirit and Water in vessel B = 8/13 and 5/13

If Vessel A and Vessel B are mixed in ratio of 7 : 2 then,

Part of Spirit and Water in vessel A = 7 × 5/7 and 7 × 2/7

⇒ 5 and 2

Part of Spirit and Water in vessel B = 2 × 8/13 and 2 × 5/13

⇒ 16/13 and 10/13

Total Spirit = 5 + 16/13 = 81/13

Total Water = 2 + 10/13 = 36/13

Ratio of spirit and water in the new mixture = 81/13 : 36/13 = 9 : 4

Now, 

13 units = 520

1 units = 520/13 = 40 

9 units = 40 × 9 = 360

And 4 units = 40 × 4 = 160

Let x ml water should be added.

According to the question:

360/(160 + x) = 3/2

⇒ 160 + x = 240

⇒ x = 80 ml

∴ 80 ml water should be added so that the mixture contains spirit and water in the ratio 3 : 2.

Alternate Method 

Spirit in the new mixture = 540 × 9/13 = 360

Water in the new mixture = 540 × 4/13 = 160

According to the question:

360/(160 + x) = 3/2

⇒ 160 + x = 240

⇒ x = 80 ml

∴ 80 ml water should be added so that the mixture contains spirit and water in the ratio 3 : 2.

Given:

Cost price of the article = Rs. 900

Profit % = 20%

Discount % = 10%

Formula:

SP = CP × [(100 + Profit%)/100]

MP = SP × [100/(100 – Discount%)]

Calculation:

Selling price of the article = Rs. 900 × (120/100) = Rs. 1080

∴ MP of the article = Rs. 1080 × (100/90) = Rs. 1200

∴ The marked price of the article is Rs. 1200.

Given:

Calculation:

The highest temperature in degree centigrade = 4.5

The lowest temperature in degree centigrade = -5.5

The difference between highest and lowest temperature in degree centigrade = 4.5 - (-5.5) = 10

∴ The difference between highest and lowest temperature in degree centigrade is 10.

Formula used 

Average = Sum of Data/No. of Data 

Calculation:

Average = [1.5 +(-1.5) + (-2.5) + 4.5 + 3.5 + (-5.5)]/6 = 0/6 = 0

∴ The average temperature of all 6 places in degree centigrade is 0.

Given:

Calculation:

The temperature of C = -2.5

The temperature of A = 1.5

Required % = [{1.5 - (-2.5)}/1.5 × 100] = 4/1.5 × 100 = 800/3%

∴ The temperature of C is what percent less than the temperature of A is 800/3%.

The correct answer is 'to'.

Key Points

• A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, spatial relationships, or to introduce an object.
• The most common prepositions are 'on, in, at, for, with, of, to, etc'.
• ​Example: 
• ​He sat on the chair.
• There is some milk in the fridge.
• The preposition 'to' is used for expressing motion or direction toward a point, person, place, or thing approached and reached, as opposed to from.
• Example: I will get to the conference on time.
• Therefore, from the above-given explanation, the preposition 'to' will be used in the blank.

Therefore, the correct answer is: He told the good news to his parents and friends.

Additional Information

• Let's explore prepositions in other options:
• With: As a preposition 'with' is used as a function word to indicate combination, accompaniment, presence, or addition.
• Example: He went there with her.
• In: As a preposition 'In' is used as a function word to indicate inclusion, location, or position within limits.
• Example: He lives in Banglore.
• For: As a preposition 'for' is used as a function word to indicate purpose.
• Example: He received a grant for studying medicine.

The correct answer is 'DACB'.

Key Points

• Statement D will be the first as it contains the subject or noun of the sentence i.e. 'The divisional forest officer'.
• Statement A will succeed Statement D, as it contains the conjunction 'that' which connects it with statement A.
• Statement C will succeed statement A, as it contains the result of installing drones which are mentioned in statement A.
• Statement B will succeed statement C, as it contains the place where the drones are installed and proved to be beneficial.
• Therefore, the correct answer is option 2.

The correct sequence is:

• D: the Divisional Forest Officer said
• A: that drones have been found to be
• C: extremely essential for vigilance
• B: at the Kaziranga National Park

The correct answer is 'Please remember that five times three is fifteen.'

Key Points

• Let's explore the options:
• In statement 1, 'that' is acting as a conjunction which is connecting two clauses 'Please remember' and 'five times....fifteen' which is grammatically correct.
• Statements 2, 3 and 4 are not grammatically correct statements.
• Thus, the correct answer is option 1.

The correct answer is 'before'.

Key Points

• Let's explore the meaning of the given word and the marked option.
• Ere: Before in time.
• Example: Ere long he conceived the plan of publishing a newspaper of his own.
• Before: during the period of time preceding a particular event or time.
• Example: I slammed on the brakes, slid sideways, and stopped just before careening into a state road truck.
• Thus, from the above-given explanation, we can say that both 'Ere' and 'Before' are synonyms to each other.
• Therefore, the correct answer is option 4.

Additional Information 

• Let's explore other options:

The correct answer is 'at; in'.

Key Points

• A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, spatial relationships, or to introduce an object.
• The most common prepositions are 'on, in, at, for, with, of, to, etc'.
• ​Example: 
• ​He sat on the chair.
• There is some milk in the fridge.
• In: As a preposition 'In' is used as a function word to indicate inclusion, location, or position within limits.
• Example: He lives in Chattisgarh.
• While preposition 'At' is used in expressing the object of a look, gesture, thought, action, or plan.
• ​Example: He is looking at the presentation presented by his colleague.
• Therefore, the preposition 'At' will be used in the first blank and 'In' will be used in the second blank.

Thus, the correct sentence is: I saw him looking at some Chemistry books in the library.

Additional Information

• Let's explore other options.
• Into: As a preposition 'into' is used to express movement or action with the result that someone or something becomes enclosed or surrounded by something else.
• Example: He walked into the house.
• On: As a preposition 'On' is used to express something physically in contact with and supported by (a surface).
• Example: The book is on the table.

The correct answer is 'Certain'.

Key Points

• Let's explore the meaning of the given word and the marked word.
• Dubious: hesitating or doubting.
• Example: The teacher was dubious of Johnny’s homework excuse.
• Certain: known for sure; established beyond doubt.
• Example: I am certain that the sky is blue, even though some people try to claim that the color is based on my own perception.
• Thus, from the above-given explanation, we can say that both 'Dubious' and 'Certain' are synonyms to each other.
• Therefore, the correct answer is option 3.

Additional Information

• Let's explore other options:

The correct answer is 'seem'.

Key Points

• There are two rules working simultaneously in the given sentence: 
• Rule of preposition: It states if there is a preposition in the sentence, then the verb of the sentence will be according to the noun preceding the preposition.
• Example: The taste of these mangoes is sweet.
• Subject-verb agreement: It states that the verb corresponding to the singular subject will be singular and the verb corresponding to the plural subject is plural.
• Example:
• He is planning a trip to Goa.
• They are planning a trip to Goa.
• The subject of the sentence i.e. 'chances' is plural, therefore, according to subject-verb agreement the verb should be plural.
• Therefore, 'seem' will be used in the blank.

Thus, the correct sentence is: Her chances of winning both the matches seem bright to me. She is playing so well.

The correct answer is 'change'.

Key Points

• The error lies in the incorrect usage of the verb 'change'.
• There are two rules working simultaneously in the given sentence: 
• Rule of preposition: It states if there is a preposition in the sentence, then the verb of the sentence will be according to the noun preceding the preposition.
• Example: The aroma of these roses is very pleasant.
• Subject-verb agreement: It states that the verb corresponding to the singular subject will be singular and the verb corresponding to the plural subject is plural.
• Example:
• He is planning a trip to Kerala.
• They are planning a trip to Kerala.
• The subject of the sentence i.e. 'color' is singular, therefore, according to subject-verb agreement the verb should be singular.
• Therefore, 'change' should be replaced with 'changes'.

Therefore, the correct sentence is: The color of the litmus paper changes when we put acid in the beaker.

The correct answer is 'useless'.

Key Points

• Let's explore the meaning of the given word and the marked word.
• Futile: incapable of producing any useful result; pointless.
• Example: The losing team made a valiant but futile effort to catch up to their opponent.
• Useless: not fulfilling or not expected to achieve the intended purpose or desired outcome.
• Example:  No man is useless in this world who lightens the burden of someone else.
• Thus, from the above-given explanation, we can say that both 'Futile' and 'Useless' are synonyms to each other.
• Therefore, the correct answer is option 1.

Additional Information

• Let's explore other options.

The correct answer is 'chance'.

Key Points

• Let's explore the options:

 

• The context of the sentence expresses an opportunity or probability of the person getting selected for the job. (वाक्य का संदर्भ व्यक्ति के नौकरी के लिए चुने जाने के अवसर या संभावना को व्यक्त करता है।)
• Therefore, 'chance' will be used in the sentence.

​

Thus, the correct sentence is: Because of her qualifications she has every chance for the success of her application for the job.

The correct answer is 'going'.

Key Points

• The present continuous form of go succeeding with preposition 'to' is used in two ways:
• It talks about movement in relation to a place or a person in the present.
• Example: I am going to the shops.
• It is also used to talk about plans, intentions, predictions and commands.
• Example: I am going to buy a new car next week.
• The context of the sentence expresses an intention, therefore, 'going' will be used in the blank.

Thus, the correct sentence is: 'I am not going to ask you again. Do what you want to do.'

The correct answer is 'in spite'.

Key Points

• The prepositional expression 'In spite of' is used to express something that surprisingly does not prevent something else from being true. 
• Example: 
• They enjoyed the rides in spite of the long queues.
• When they arrived at Malaga it was hot, in spite of the fact that it was only the end of April.
• Thus, 'in spite' will be used in the blank.
• Therefore, the correct answer is option 3.

Thus, the correct sentence is: He slept like a horse in spite of all the commotion in the room.

The correct answer is 'had turned up'.

Key Points

• The given sentence is an example of a third conditional sentence.
• Structure of third conditional sentence:
• If+ past perfect, would+ have+ third form of the verb.
• Example:
• I would have helped if I’d known you were in trouble.
• My family wouldn’t have bought the house if they had seen the broken pipes.
• Thus, 'had turned up' will be used in the blank.

Therefore, the correct sentence is:  I wouldn't have been so angry if she had turned up on time.

Additional Information 

• Conditional sentence: As the name suggests they are used to define the condition and the result depends upon the type of the event.
• The conditional sentences have two clauses, One is the condition followed by main clause.
• Types of conditional sentences.

 

• NOTE: Generally, the condition clause is mentioned first in the conditional sentence followed by the main clause, but it can be reversed.
• Example: 
• If he calls me, I will answer.
• I will answer if he calls me.

The correct answer is 'and'.

Key Points

• The conjunction 'and' is used to express-
• One action follows another.
• Example: Jane sent in her applications and waited for a call from the HR office.
• One idea is the result of another.
• Example: Rain began to fall and the creek rose rapidly.
• Thus, 'and' will be used in the blank.
• Therefore, the correct answer is option 3.

The correct sentence is: We were having discussions and suddenly she came up with some brilliant ideas. 

Additional Information

• Conjunctions are used to connect sentences, words, or phrases together. They are of three types:
• Coordinating conjunction: These conjunctions joins similar words, elements or phrases. These are 'for', 'and', 'not', 'but', 'or', 'yet',  and 'so'
• Subordinating conjunction: These conjunctions are used to connect a dependent clause with an independent clause. These are 'As', 'Because', 'still', etc.
• Corelative conjunction: These conjunctions are used to connect similar words or elements but they exist in pairs such as 'not only....but also', 'either...or', etc.

The correct answer is 'Wax'.

Key Points

• Let's explore the meaning of the given word and the marked word.
• Wane: (of the moon) have a progressively smaller part of its visible surface illuminated, so that it appears to decrease in size.
• Wax: (of the moon between new and full) have a progressively larger part of its visible surface illuminated, increasing its apparent size.
• Thus, from the above-given explanation, we can say that both 'Wane' and 'Wax' are Antonyms to each other.
• Therefore, the correct answer is option 4.

Additional Information

• Let's explore the meaning of other options:

Hint

• Let's take a look at the waning and waxing of the moon.

The correct answer is 'a research abstract'.

Key Points

• Let's look at the formation of the passage as a whole.
• It started by explaining the problem that the research has found, then it gives the data and numbers supporting the problem that is found in the study. Then it goes on to explain the root cause of the problem and in the last line, it gives a way forward on how to reduce this problem.
• From the above-given explanation, we can, therefore, say that it is a research abstract.
• Therefore, the correct answer is option 1.

The correct answer is 'sedentary lifestyle and unhealthy eating'.

Key Points

• Let's refer to the last line of the passage.
• Arora blamed sedentary lifestyle and unhealthy eating for the increased risk and stressed on the need for comprehensive, school-based interventions to promote healthy lifestyle among them.
• Therefore, we can say that the main causes of obesity among children of private schools are sedentary lifestyle and unhealthy eating.
• Thus, the correct answer is option 4.

The correct answer is 'Preventive Medicine Reports'.

Key Points

• Let's refer to the fourth line of the passage.
• The students of government schools, who come from lower socio-economic strata, are relatively less vulnerable to get these diseases, the study conducted by researchers from AIIMS, Public Health Foundation of India, Indian Institute of Health Management and Research and the London School of Hygiene and Tropical Medicine says. It has been published in Preventive Medicine Reports (PMR).
• Therefore, we can say that the correct answer is option 2.