PSPCL LDC Previous Paper 1 (Held On:15 Feb 2018 Shift 2) (Previous Year Paper)

Jagat Pati Joshi(J.P. Joshi) is an Indian archaeologist who discovered the Indus Valley site of Dholavira.​

• As per the evidence, the Harappan people used to trade with Afghanistan, Persia, and Oman.
• But there is no evidence that they also trade with Mongolia.

Jauna Khan was the real name of Muhammad-bin Taghlaq.

• Muhammad-bin Taghlaq was the Sultan of Delhi from 1325 to 1351.
• He was the eldest son of Ghiyas-ud-Din-Tughlaq.
• Ghiyas-ud-Din-Tughlaq was the founder of the Tughluq dynasty.
• Muhammad-bin Taghlaq contended with 22 rebellions, pursuing his policies, consistently and ruthlessly.
• Khusro Khan was a medieval Indian military leader and ruler of Delhi as Sultan Nasiruddin Khusrau Shah.
• Khizr Khan was the real name of Sayyid Khizr Khan ibn Malik Sulaiman.

Harilal Jekisundas Kania was the first Chief Justice of India.

• He was the Chief Justice of India from 1950 to 1951.
• He read the oath of chief justice of India to Dr Rajendra Prasad(India's first President).
• H. J. Kania served as acting editor of the Indian Law Reports.
• Mandakolathur Patanjali Sastri was the second Chief Justice of India.
• Justice Mehr Chand Mahajan was the third Chief Justice of the Supreme Court of India.
• Sudhi Ranjan Das (S.R. Das) was the 5th Chief Justice of India.
• Ranjan Gogoi is an Indian jurist serving as the 46th Chief Justice of India.
• Shri D Y Chandrachud is the 50th Chief Justice of india.

Uttar Pradesh has the highest number of representatives in both the houses of Parliament.

• The maximum strength of the House envisaged by the Constitution is 552, in which 80 seats from Uttar Pradesh.
• The Uttar Pradesh Vidhan Sabha has a total of 404 members including one Anglo-Indian member who is nominated by the Governor.
• The current chief minister of Uttar Pradesh is Yogi Adityanath.
• The current governor is Anandiben Patel.
• The capital of Uttar Pradesh is Lucknow.

The correct answer is 26 January 1950.

Key Points

• The Supreme Court of India, which is located on Tilak Marg in New Delhi, was established on January 26, 1950.
• It took the place of both the Federal Court of India and the Privy Council's Judicial Committee, which were at the time the highest courts in India.
• However, the first hearings and inauguration were held on January 28, 1950, at 9:45 a.m., when the judges took their seats. As a result, the date of establishment is considered official.
• The Supreme Court of India is India's top court and the highest judicial authority.
• It is the highest-ranking constitutional court with judicial review authority.
• The Supreme Court of India, which has a maximum of 34 judges and vast powers in the form of original, appellate, and advisory jurisdictions, is led by the Chief Justice of India.
• As India's supreme constitutional court, it hears appeals mostly from high courts in various states of the Union, as well as other courts and tribunals.
• ​The first woman judge of SC of India and also in Asia was Fathima Beevi who was appointed to Supreme Court in 1989.
• The first Chief Justice of India was Sir Harilal Jekisundas Kania.
• As of December 10, 2024, the Chief Justice of India is Justice Sanjiv Khanna, who assumed office on November 11, 2024.

The maximum limit to the total membership of the Legislative Council of an Indian state is ​1/3 of the total membership of the Legislative Assembly.

• The Legislative Council (Vidhan Parishad) is the upper house in those states of India that have a bicameral legislature, the lower house being the State Legislative Assembly.
• Its establishment is defined in Article 169 of the Constitution of India.
• A Member of the Legislative Council (MLC) is elected by local bodies, state legislative assembly, governor, graduates and teachers, for a term of 6 years.
• One-third of the members are retired in every two years.

Yuki Bhambri is a professional tennis player from India.

• He is a former junior no.1 and winner of the 2009 Australian Open Junior single Championship.
• He is the first Indian to win the junior Australian Open title and fourth Indian in history to capture a junior singles title at a Grand Slam championship.
• He represents India in the Davis Cup.
• Yuki also got direct entry into the 2018 Wimbledon Championships for the first time.

India won 57 medals at the 2014 Asian Games.

• The 2014 Asian Games(17th Asian Games) was a pan-Asian multi-sport event held in Incheon, South Korea.
• It was opened by the President of South Korea, Park Geun-Hye at the Incheon Asiad Main Stadium.
• The final medal tally was led by China, followed by host South Korea and Japan, while Cambodia won its' first-ever Asian Games gold medal.
• The Games’ slogan was "Diversity Shines Here".
• The first edition of the Asian Games was held in New Delhi in March 1951.
• China won a total of 345 medals at this event.
• Total 45 Nations participated in this event.

Teejan Bai is associated with Pandavani.

• Pandavani is a traditional performing art form.
• Teejan Bai from Chhattisgarh and she enacts tales from the Mahabharata with musical accompaniments.
• She has been awarded the Padma Shri in 1987, Padma Bhushan in 2003, and Padma Vibhushan in 2019 by Government of India.
• She also won Sangeet Natak Akademi Award in 1995, given by Sangeet Natak Akademi, India's National Academy of Music, Dance & Drama.
• Pandavani, literally means stories of Pandavas, the legendary brothers in Mahabharat.

The Chandogya Brahmana is related to Sam Veda.

• The Brahmanas are a section in the Vedas and were said to be mostly written in 1400-1200 BC.
• The second Brahmana of the Sama Veda is called the Chandogya Brahmana.
• It is one of the oldest Upanishads.
• It lists as number 9 in the Muktika canon of 108 Upanishads.
• The Upanishad belongs to the Tandya school of the Sam veda.
• The name of the Upanishad is derived from the word Chanda or chandas, which means "poetic meter, prosody".

Shimla was the temporary capital of Punjab after 1947.

• From 1947-1952, the temporary capital city was Shimla (now the capital of Himachal Pradesh).
• It was changed in 1952 when the new planned city of Chandigarh was constructed.
• In 1956 this was integrated with the state of East Punjab to Punjab.
• In 1966, the city became the capital of two states, Punjab and Haryana and was declared as a Union Territory.
• | State | Punjab | | --- | --- | | Chief Minister | Captain Amarinder Singh | | Governor | VP Singh Badnore | | Capital | Chandigarh | | State Bird | Northern Goshawk | | State Animal | BlackBuck | | Formation | 1966 |

https://archive.india.gov.in/knowindia/state_uts.php?id=22

The correct annswer is 32 sq. km

Key Points

• All Islands are 220 to 440 km away from the coastal city of Kochi in Kerala, in the emerald Arabian Sea.
• The name Lakshadweep in Malayalam and Sanskrit means ‘a hundred thousand islands’.
• The formation of this Union Territory on 1 November 1956.
• The capital is Kavaratti and it is also the principal town of the UT.

The first twenty-point Economic Programme was announced in India on 1975.

• The Twenty Point Programme was initially launched by Prime Minister Indira Gandhi.
• The programme first revised in 1982 and again in 1986.
• Gujarat has been among the front-ranking States in the country in implementation of the Twenty Point Programme- 1986.
• The Programme covers various socio-economic aspects like poverty, employment, education, housing, health, agriculture, land reforms, irrigation, drinking water, protection and empowerment of weaker sections, consumer protection, environment, e-Governance, etc.
• The monitoring of the programme at the centre has been assigned to the Ministry of Statistics and Programme Implementation, Government of India.
• Government of India has been implementing the revised Twenty Point Programme – 2006 since 1-4-2007.

The High Yielding Variety Programme (HYVP) was launched in the Kharif of 1966-67 in India.

• HIGH YIELDING VARIETY PROGRAMME (HYVP) was launched in 1966, which helped the country in attaining self-sufficiency in food.
• It launched in an objective to attain self-sufficiency in food by 1970-71.
• The HYVP was the responsibility of the state government for its implementation from its existing resources under the guidance and supervision of the central government.
• The aim of the programme was to increase the productivity of food grains by adopting the latest varieties of inputs of crops.
• This programme in the 4th five-year plan was a major breakthrough and a turning point in the history of agriculture development in India.

The study of fruits and fruit yielding plants called Pomology.

• Pomology is the study of fruit and the culture involved in raising fruit.
• The Pomology program includes educational and research programs in water and soil, soil fertility, plant nutrition, and irrigation.
• One involved in the science of pomology is called a pomologist.
• In response to this increased interest and activity, USDA established the Division of Pomology in 1886 and named Henry E. Van Deman as chief pomologist.
• Agrology is the study of Soils.
• The anthology is the study of Flowers.
• Floriculture is a discipline of horticulture concerned with the cultivation of flowering.
• Ornithology is the study of Birds.

Lexan sheet is used for bulletproof glass.

• Bulletproof glass is a strong and optically transparent material that is particularly resistant to penetration by projectiles.
• The index of refraction for both of the glasses used in the bulletproof layers must be almost the same to keep the glass transparent and allow a clear, undistorted view through the glass.
• Bullet-resistant glass is constructed using layers of laminated glass.
• The aim is to make a material with the appearance and clarity of standard glass but with effective protection from small arms.

Hydroponics is the method of growing plants without soil.

• In this method, using mineral nutrient solutions in a water solvent.
• It has been used by plant physiologists to discover which nutrients are essential for plant growth.
• The nutrients used in hydroponic systems can come from an array of different sources, including from fish excrement, duck manure, or purchased chemical fertilisers.
• Plants commonly grown hydroponically include tomatoes, peppers, cucumbers, lettuces and marijuana.
• In 1699, John Woodward published his water culture experiments with spearmint.
• Agrology is the study of Soils.
• Pomology is the study of Fruits.
• The anthology is the study of Flowers.
• Ornithology is the study of Birds.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4243668/

The headquarters of 'Universal Postal Union(UPU)' is located at Berne, Switzerland.

• Its headquarters in the Swiss capital Berne.
• It is the second oldest international organization worldwide.
• It is a specialized agency of the United Nations (UN) that coordinates postal policies among member nations.
• It helps to ensure a truly universal network of up-to-date products and services.
• The formation of UPU on 9 October 1874.
• World Post Day is celebrated on 9 October.
• The UPU contains four bodies consisting of the Congress, the Council of Administration (CA), the Postal Operations Council (POC) and the International Bureau (IB).
• The Universal Postal Union, in conjunction with the World Association for the Development of Philately, developed the WADP Numbering System (WNS).

http://www.upu.int/en/the-upu/member-countries.html

Bimbisara belonged to the Haryana dynasty.

• Bimbisara (born c. 543—died 491 BCE), one of the early kings of the Indian kingdom of Magadha.
• Bimbisara is known as Seniya or Shrenika in the Jain histories.
• His expansion of the kingdom, especially his annexation of the kingdom of Anga to the east, is considered to have laid the foundations for the later expansion of the Maurya Empire.
• Bimbisara was the son of Bhattiya.
• Bimbisara ruled Magadha for a period of 52 years,

https://archive.india.gov.in/knowindia/culture_heritage.php?id=16

Muhammad-bin Qasim was the first Muslim invader of India.

• Muhammad-bin Qasim was an Umayyad general who at the age of 17 led the first Muslim conquest of the Indian peninsula.
• He conquered the Sindh till Multan from Raja Dahir along the Indus River.
• Ala-ud-din Khilji was the first Muslim ruler whose empire covered almost the whole of India up to its extreme south.
• The first-ever Muslim invasion in India took place in the year 712 AD.
• Mohammad Bin Qasim invaded India and conquered Sindh Province in 712 AD.
• Later, Sultan Mahmud of Ghazni invaded India 17 times followed by the invasion of Mohammad Ghori and foundation of the Delhi Sultanate.

Stored-program concept:

Storage of instructions in computer memory to enable it to perform a variety of tasks in sequence or intermittently.

John Von Neumann:

John von Neumann was a Hungarian-American mathematician, physicist, computer scientist, and polymath. Von Neumann was generally regarded as the foremost mathematician of his time

In the late 1940s, John von Neumann introduced the idea of the Stored-program concept, which proposed that a program be electronically stored in a binary-number format in a memory device so that instructions could be modified by the computer as determined by intermediate computational results.

Initially A = 20

Instruction: X – 1, writes the value 70

Instruction: X, overwrites it with 90

In system, after T₁ and T₂ execution value of A = 90

Ideally value should be 20 + 50 + 70 = 140

These hazards arise due to write after write

Important Points:

RAR → read after read

RAW → read after write

WAR → write after read

WAW → write after write

The proc filesystem is a special filesystem in Unix-like operating systems that presents information about processes and other system information in a hierarchical file-like structure, providing a more convenient and standardized method for dynamically accessing process data held in the kernel than traditional tracing methods or direct access to kernel memory.

• The Blu-ray Disc Association (BDA) is the industry consortium that develops and licenses Blu-ray Disc technology and is responsible for establishing format standards and promoting business opportunities for Blu-ray Disc
• Christopher Latham Sholes was an American inventor who invented the QWERTY keyboard and along with Samuel W Soule, Carlos Glidden and John Pratt has contended as one of the inventors of the first typewriter in the United States
• Douglas Carl Engelbart an American engineer and inventor, and the early computer and Internet pioneer. He invented a computer mouse
• Ajay V. Bhatt is an Indian-born American computer architect who helped define and develop several widely used technologies, including USB (Universal Serial Bus) and various chipset improvements

• Petya is a family of encrypting ransomware that was first discovered in 2016.
• The malware targets Microsoft Windows–based systems, infecting the master boot record to execute a payload that encrypts a hard drive's file system table and prevents Windows from booting.
• It subsequently demands that the user make a payment in Bitcoin in order to regain access to the system.
• Variants of Petya were first seen in March 2016, which propagated via infected e-mail attachments.

Important Points:

Ransomware is a type of malware from crypto virology that threatens to publish the victim's data or perpetually block access to it unless a ransom is paid.

• A page fault occurs when a page is not found in the memory and needs to be loaded from the disk. If a page fault occurs and all memory frames have been already allocated, then the replacement of a page in memory is required at the request of a new page. This is referred to as demand-paging.
• The choice of which page to replace is specified by a page replacement algorithm. The commonly used page replacement algorithms are FIFO, LRU, optimal page replacement algorithms, etc.
• Generally, on increasing the number of frames to a process’ virtual memory, its execution becomes faster as less number of page faults occur. Sometimes the reverse happens, that is, more numbers of page faults occur when more frames are allocated to a process. This most unexpected result is termed as Belady’s Anomaly.
• FIFO and random replacement algorithms suffer from Belady’s Anomaly.
• Hence Belady's anomaly may occur in page replacement. Therefore option 2 is correct

• In Microsoft word, ‘gutter margins’ adds extra space to document's existing margins to allow for the document's binding.
• Gutter margins are designed to add more space to the normal margins of a document that will be bound together; this ensures that none of the text will be obscured once the binding is in place. Even if user intend to just staple the document together, or place it within a temporary binding, adding a gutter margin will give a finished document and a more professional look and ensure that readability is preserved.

SHA-1 was designed by the United States National Security Agency and is a U.S. Federal Information Processing Standard.

In cryptography, SHA-1 is a cryptographic hash function which takes an input and produces a 160-bit (20-byte) hash value known as a message digest.

It is represented in hexadecimal number which will be 40 digits, that is, 40 × 4 = 160 bits because each hexadecimal value takes 4 bits.

Notes:

SHA-1 stands for Secure Hash Algorithm 1

• The UMANG is a Government of India all-in-one single unified secure multi-channel multi-platform multi-lingual multi-service freeware mobile application
• It is for accessing over 1,200 central and state government services in multiple Indian languages over Android, iOS, Windows
• Services offered such as AADHAR, DigiLocker, Bharat Bill Payment System, PAN services, AICTE, CBSE, tax and fee or utility bills payments, education, job search, tax, business, health, agriculture, travel, birth certificates, e-District, passport etc

Notes:

UMANG → Unified Mobile Application for New-age Governance

The OHA was established on 5 November 2007, led by Google with 34 members including mobile handset makers, application developers, some mobile carriers and chip makers.

The OHA is a consortium of 84 firms to develop open standards for mobile devices. Member firms include HTC, Sony, Dell, Intel, Motorola, Qualcomm, Texas Instruments, Google, Samsung Electronics, LG Electronics, T-Mobile, Sprint Corporation, Nvidia, and Wind River Systems.

Important Points:

OHA → Open Handset Alliance

HAMPER → Cannot be formed as R is not present.

SAMPLE → Can be formed

HOUSE → Can be formed

Spouse → can be formed

Hence, ‘Hamper’ is the correct answer.

Smart and Cleaver are synonyms of each other.

Similarly,

Lively and Vivacious are synonyms.

Economical → Cheap or using less money.

Prodigal → Spending too much money

Dormant → Not in active state.

Thunderous → Very loud.

Restrained → Muffled, controlled.

Hence, "Lively : Vivacious" is the correct answer.

Desktop, Laptop. Palmtops are electronic devices.

But hilltop is not.

Hence. ‘Hilltop’ is different among them.

Statue is created by the Sculptor.

Similarly,

Book is written by an Author.

Hence, ‘Author’ is the correct answer.

Zebra is a wild animal.

Similarly,

Horse is a Domestic animal.

Hence, ‘Domestic’ is the correct answer.

The pattern followed is:

Similarly,

Hence, ‘CSHWDXZZ’ is the correct answer.

Birds lay eggs in nest.

But nest is called tree.

Hence, ‘tree’ is the correct answer.

According to given information:

Hence, ‘North- west’ is the correct answer.

According to given information:

Hence, ‘South-east’ is the correct answer.

Option 1 : Spelling of Rajiv is given wrong.

Option2 : Spelling of Farrukhabad is wrong.

Option3 : Shahpur is given instead of Shahgunj.

Option 4 : This is the correct answer.

Hence, option 4 is the correct answer.

The pattern followed is:

Hence, ‘dgjm’ is the correct answer.

The pattern followed is :

Similarly,

Hence, ’RPNL’ is the correct answer.

We will use following table to draw family tree diagram :

According to given information :

Hence, Girima is niece of Sagar.

We will use following table to draw family tree :

According to given information :

Hence, ‘Himself’ is the correct answer.

According to given information :

Bijli > Varsha > Sameer > Hamif > Usha > Kapil

Bijli is fastest among the given friends.

Hence, option 3 is the correct answer.

According to given information :

Maya > Bhumika/Yuvi

Hima > Vimal > Keshav

Bhumika > Keshav >Yuvi

Fixed rank can not be determined by the given data.

Hence, option 4 is the correct answer.

According to given information:

Hence, Naman is sitting to the left of Bomman.

In the given series, there are two different series.

The pattern followed is :

Hence, ’16,28’ is the correct answer.

The given series is series of alternate Prime numbers.

3, 5, 7, 11, 13, 17, 19, 23, 29.

Hence, ‘29’ is the correct answer.

The logic followed is :

8 + 4 → 8 × 4 = 32 × 2 = 64

7 + 5 → 7 × 5 = 35 × 2 = 70

Similarly,

9 + 6 → 9 × 6 = 54 × 2 = 108

Hence, ‘108’ is the correct answer.

By decoding given information :

Given: 5 6 © 8 # 3 $ 5 @ 8 = ?

After decoding: 56 ÷ 8 × 3 + 5 – 8 = ?

Using BODMAS rule,

7 × 3 + 5 – 8 = 21 + 5 – 8 = 18

Hence, ‘18’ is the correct answer.

Given: (7 × 2) + 81

After interchanging: (2 + 7) × 81

(2 + 7) × 81 = 9 × 81 = 729

Hence, ‘729’ is the correct answer.

There are 3 such pairs which have * before # but not after $.

7 3 1 g $ 1 ! @ *** #** 8 % @ *** #** $ g Q O L % ! * $ # 1 8 % ! 6 3 $ @ *** #** $ F S w # * $ h W 2

Hence, the correct answer is 3

In option 1, 2, and 4 Star

 is towards left side of arrow 

But in option 3 star is towards the right side of arrow.

Hence, Option 3 is different from the rest.

Given statements:

All actors are girls.

Some girls are leaders

Diagram:

Conclusions:

1. All girls are actors → False (It is possible but not definite)
2. All leaders are girls → False (It is possible but not definite)

Hence, Neither conclusion follows.

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

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

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

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

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

Given expression is,

(\left[ {\frac{3}{4} + \left{ {2\frac{1}{2} - \left( {\frac{1}{2}of\frac{1}{{42}}} \right)} \right}} \right] \div \left[ {\frac{1}{3} + \left{ {4\frac{3}{4} - \left( {3\frac{1}{6} - 2\frac{1}{3}} \right)} \right}} \right] = 1 - \frac{k}{{21}})

(\Rightarrow \left[ {\frac{3}{4} + \left{ {\frac{5}{2} - \frac{1}{{84}}} \right}} \right] \div \left[ {\frac{1}{3} + \left{ {\frac{{19}}{4} - \left( {\frac{{19}}{6} - \frac{7}{3}} \right)} \right}} \right] = 1 - \frac{k}{{21}})

(\Rightarrow \left[ {\frac{{63 + 210 - 1}}{{84}}} \right] \div \left[ {\frac{{4 + 57 - 10}}{{12}}} \right] = 1 - \frac{k}{{21}})

(\Rightarrow \frac{{272}}{{84}} \times \frac{{12}}{{51}} = 1 - \frac{k}{{21}})

⇒ k/21 = 1 – 272/357

⇒ k/21 = (357 – 272)/357

⇒ k/21 = 85/357

⇒ k = 5

a = 2⁵ × 11³ × 13⁴

b = 2⁴ × 11⁴ × 13⁵

c = 2⁴ × 11⁵ × 13³

d = 2³ × 11⁴ × 13⁴

LCM = 2⁵ × 11⁵ × 13⁵ = (2 × 11 × 13)⁵ = (22 × 13)⁵

According to the question

Taking the difference

277 – 152 = 125

427 – 277 = 150

427 – 152 = 275

HCF of 125, 150 and 275 (By Factor Method)

125 = 5 × 5 × 5

150 = 2 × 3 × 5 × 5

275 = 5 × 5 × 11

HCF = 5 × 5 = 25

HCF of 125, 150 and 275 (By Division Method)

So, x = 25 and y = 2

(x – y) = 25 – 2 = 23

As we know,

(a³ + b³) = (a + b) (a² + b² – ab)

(a² – b²) = (a + b) (a – b)

(527³⁷⁹ + 473³⁷⁹)

We can say this number (527³⁷⁹ + 473³⁷⁹) is divisible by (527 + 473) = 1000.

(527³⁷⁹ – 473³⁷⁹)

We can say this number (527³⁷⁹ + 473³⁷⁹) is divisible by (527 + 473) = 1000 and (527 – 473) = 54.

Now, we can say both numbers (527³⁷⁹ + 473³⁷⁹) and (527¹⁶⁶ – 473¹⁶⁶) are divisible by 1000. So, the common factor is 1000 or 125 × 8.

So, the common factor is 125.

Let the income of Shashi be 100x.

Savings of Shashi = 100x × 12/100 = 12x

New income of Shashi = 100x × 125/100 = 125x

New savings of Shashi = 125x × 15/100 = 18.75x

Her savings increased by = 18.75x – 12x = 6.75x

Her percentage of savings increased by = (6.75x/12x) × 100 = 56.25%

Let the cost price of article Q be 100x.

Cost price of article P = 100x × 75/100 = 75x

Selling price of the article P = 75x × 95/100 = 71.25x

Selling price of article Q = 100x × 115/100 = 115x

According to the question

71.25x + 115x = 745

⇒ x = 4

Cost price of article Q = 100x = 100 × 4 = 400

Ratio of shares of P and Q, Q and R and R and S, each is equal to 2:3

According to the question

P : Q = Q : R = R : S = 2 : 3

Suppose P : Q = 2 : 3      ----(1)

Q : R = 2 : 3      ----(2)

R : S = 2 : 3      ----(3)

Multiply by 4 in equation (1) and multiply by 6 in equation (2) and multiply by 9 in equation (3)

P : Q : R : S = 8 : 12 : 18 : 27

Share of R = [18/(8 + 12 + 18 + 27)] × 22,750 = [18/65] × 22,750 = 350 × 18 = 6300

Ratio of copper and zinc in alloy A = 1 : 3      ----(1) × 7 × 3

Ratio of copper and zinc in alloy B = 5 : 2      ----(2) × 4 × 2

Firstly, we equal the quantity of both alloys A and B after that 3 kg of A and 2 kg of B are melted to form an alloy C. So,

Multiply by 7 × 3 in equation (1) and multiply by 4 × 2 in equation (2)

New ratio of copper to zinc in alloy A = 21 : 63

New ratio of copper to zinc in alloy B = 40 : 16

Total quantity of copper in alloys A and B = 21 + 40 = 61

Total quantity of zinc in alloys B and B = 63 + 16 = 79

So new ratio of zinc to copper in alloy C = 79 : 61

(15x + 7y) : (7x + 15y) = 29 : 37

(15x + 7y) / (7x + 15y) = 29/37

Using Dividendo and componendo

(15x + 7y + 7x + 15y) / (15x + 7y – 7x – 15y) = (29 + 37) / (29 – 37)

(22x + 22y) / (8x – 8y) = 66/(-8)

22(x + y) / 8(x – y) = 66/(-8)

(x + y) / (x – y) = 3/(-1)

Again, using Dividendo and componendo

(x + y + x – y) / (x + y – x + y) = [3 + (-1)] / [3 – (-1)]

⇒ x/y = 1/2

Now,

(15x² + 7y²) : (7x² + 15y²)

⇒ (15 × 1² + 7 × 2²) : (7 × 1² + 15 × 2²)

⇒ (15 × 1 + 7 × 4) : (7 × 1 + 15 × 4)

⇒ (15 + 28) : (7 + 60)

⇒ 43 : 67

As we know,

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

R = 8%

But compounded half yearly then R = 8/2 = 4%

So, Amount of A after (3\frac{1}{2}) × 2 = 7 years is equal to the amount of B after (4\frac{1}{2} \times 2 = 9years)

Detailed Solution:

Let the shares of A and B be Rs. N and Rs. (52,040 – N), respectively,

Amount got by A after 7 years = Amount got by B after 9 years

N(1 + 4/100)⁷ = (52,040 - N) × (1 + 4/100)⁹

⇒ N/(52,040 – N) = (1 + 4/100)^{(9 – 7)}

⇒ N/(52,040 – N) = (26/25)²

⇒ N/(52,040 – N) = 676/625

⇒ 625N = 676 (52,040 – N)

⇒ 625N = 676 × 52,040 – 676N

625N + 676N = 676 × 52,040

1301N = 676 × 52,040

N = (676 × 52,040)/1301 = 676 × 40 = 27040

Share of A = 27,040

Share of B = 52,040 – 27,040 = 25,000

Required Difference = 27,040 – 25,000 = 2,040

P = Rs. 8,400, Time = 2 years and rate = 10%

Let amount of each instalment be Rs. X, then

P = [X/(1 + r/100)²] + [X/(1 + r/100)]

8400 = [X/(1 + 10/100)²] + [X/(1 + 10/100)]

8400 = [X/(11/10)²] + [X/(11/10)]

8400 = [X/(121/100)] + [X/(11/10)]

8400 = [100X/121] + [10X/11]

8400 = (100X + 110X)/121

8400 = 210X/121

∴ X = 40 × 121 = Rs. 4840

Let the total number of students be x.

Average score of the total number of students in the examinations = 65

Sum of scores of the total number of students in the examination = 65x

Average score of 15 students = 25

Sum of scores of 15 students = 25 × 15 = 375

Average score of (x – 15) students = 65 + 20 = 85

Sum of scores of (x – 15) students = 85 (x – 15) = 85x – 1275

According to the question,

85x – 1275 + 375 = 65x

⇒ 85x – 65x = 1275 – 375

∴ x = 45

Thus, the correct answer is option 2.

As we know,

Speed = Distance/ Time

Total distance = 248 + 112 = 360 m & Time = 36 sec

Speed of first train = 108 km/h = 108 × 5/18 = 30 m/s

Let the speed of the other train be x m/s

Both trains running in the same direction, then relative speed of both trains = (30 – x) m/s

According to the question

30 – x = 360/36

∴ x = 20 m/s = 20 × (18/5) = 72 km/hr

Formula used:

Average speed = Total distance/ Total time

Calculation:

Let the distance between A and B be x km and the distance between B and C be y km.

According to question,

(x + y)/(x/40 + y/60) = 52

⇒ 120x + 120y = 52(3x + 2y)

⇒ 156x - 120x = 120y - 104y

⇒ 36x = 16y

⇒ x : y = 4 : 9

Using Allegation Method

Distance of AB Distance of BC

The ratio of time of distance covered A to B with a speed of 40 km/hr to distance covered B to C with a speed of 60 km/hr = 2 : 3

Ratio of distance AB to BC = 40 × 2 : 60 × 3 = 4 : 9

Let the number of days be x in which 12 persons produce 1,500 units.

As we know, Total work = Total work, so

(M₁ × D₁ × T₁)/W₁ = (M₂ × D₂ × T₂)/W₃

Given, M₁ = 10 person, D₁ = 20 days, W₁ = 1000 units, T₁ = 8 hrs M₂ = 12 person, D₂ = ? days, W₃ = 1500, and T₃ = 5 hrs

(M₁ × D₁ × T₁)/W₁ = (M₂ × D₂ × T₂)/W₃

⇒ (10 × 20 × 8)/1000 = (12 × D₂ × 5)/1500

⇒ 8/5 = D₂/25

⇒ D₂ = (8/5) × 25 = 40

Let the efficiency of C be x, then

Efficiency of A = 3x

Efficiency of B = 2x

Efficiency ratio of A, B and C = 3 : 2 : 1

Total work = 15 × (3 + 2 + 1) = 15 × 6 = 90

A alone can complete the whole task in = 90/3 = 30 days

Length of swimming pool = 40 m

Breadth of swimming pool = 18 m

Net height of the swimming pool = (0.7 + 3.55)/2 = 4.25/2 = 2.125 m

As we know,

Volume of swimming pool = Area of Base × height = 40 × 18 × 2.125 = 1530 m³

Let the thickness of the sheet be H, then

As we know,

Volume = Base Area × H

4 m³ = 20,000 m² × H m

H = 4/20,000 m

H = (4/20,000) × 100 cm

As we know, 1 m = 100 cm

H = 0.02 cm

Thus, the correct answer is option 1.

Given, Side of equilateral triangle = 2a

Area of equilateral triangle = √3/4 × (side)² = √3/4 × (2a)² = √3 a²

Diagonal of square = 2a

As we know, Diagonal of the square = √2 side

√2 side = 2a

side = 2a/√2 = √2a

Area of square = (√2a)² = 2a²

Ratio of area of triangle to square = √3 a² : 2a² = √3 : 2

Side of equilateral triangle = 12

Area of equilateral triangle = √3/4 × (side)² = √3/4 × (12)² = 36 √3

In radius of the equilateral triangle = a/2√3 = 12/2√3 = 2√3

Area of circle = π r² = π × (2√3)² = 12π

Area of the region outside the circle and within the triangle = 36√3 - 12 π = 12 (3√3 – π) cm²

1^st image → (10 × 9) + (10 - 9) = 91

2^nd image → (8 × 5) + (8 - 5) = 43

Similarly,

3^rd image → (11 × 7) + (11 - 7) = 81

Hence, ‘7’ is the correct answer.

The pattern followed is :

1³ + 1 = 2

3³ + 3 = 30

5³ + 5 = 130

7³ + 7 = 350

9³ + 9 = 738

11³ + 11 = 1342

Hence, ‘1342’ is the correct answer.

In the given series, there are two different series.

1^st series is square of consecutive prime numbers.

1^st series → 4, 9, 25, 49, 121, 169, 289

2^nd series is cube of consecutive non prime numbers.

2^nd series → 216, 512, 729, 1000, 1728,2744, 3375

Hence, ‘3375’ is the correct answer.

The pattern followed is :

4² – 3² = 16 – 9 = 7

6² – 2² = 36 – 4 = 32

8² – 5² = 64 - 25 = 39

72 – 52 = 49 - 25 = 24

Hence, the correct answer is 24.

The pattern followed is:

2³ - 2 = 6

4³ - 4 = 60

6³ - 6 = 210

8³ - 8 = 504

10³ - 10 = 990

12³ - 12 = 1716

Hence, ‘1716’ is the correct answer.

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

The meaning of the given word Apathy is lack of interest. Option 3, i.e. Indifference means Lack of interest and it is the word which is the closest in meaning to the given word. That is why option 3 is the correct answer.

Option 1, i.e.Enthusiasm means eagerness.

Option 2, i.e. Sympathy means Pity.

Option 4, i.e. Empathy means Affinity with.

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

The meaning of the given word Vacillate is to be indecisive. The meaning of option 1, i.e waver is hesitate and it is the word which is closest in meaning to the given word. That is why option 1 is the correct answer.

Option 2, i.e. Persist means continue.

Option 3, i.e. Remain means Stay

Option 4, i.e. Continue means go on

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

The meaning of the given word Allegiance is loyalty. Option 2, i.e. Treachery means betrayal and it is the word which is farthest or opposite in meaning to the given word. That is why option 4 is the answer.

Option 1, i.e. Adherence means  Attachment

Option 2, i.e. Support means To help

Option 3, i.e. Deference means Respect.

The correct answer is option 2, i.e. Approve.

The meaning of the given word Castigate is to rebuke. Option 2, i.e Approve which means agree to is the word which is farthest or opposite in meaning to the given word. That is why option 2 is the correct answer.

Option 1, i.e Penalise means to punish.

Option 3, i.e.Reprimand means to rebuke.

Option 4, i.e. Berate means to rebuke

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

The meaning of the given  word Lackadaisica' is unenthusiastic

Option 4, i.e. Energetic which means lively or active is the word which is farthest or opposite in meaning to this word. That is why option 4 is the correct answer.

Option 1, i.e. Indifferent means unconcerned about.

Option 2, i.e. Careless means inattentive.

Option 3, i.e. Lethargic means inactive

The correct answer is option 2, i.e. Runs away from the increasing problems.

The meaning of the underlined idiom,i.e**. Bury his head in the sand is to ignore unpleasant realities** which means to run away from problems. Option 2 is the correct meaning of this idiom. That is why option 2 is the answer.

The correct answer is 'Extremely happy.'

Key Points

• On cloud nine: It is an idiomatic phrase which means extremely happy.
• Example: I was on cloud nine once I had completed it.
• Therefore, the correct answer is option 2.

The correct answer is option 2, i.e. Alternative.

Key Points

The meaning of the word Alternative is choice or option and it is the word which is closest in meaning to the given phrase. That is why option 2 is the answer.

Option 1, i.e. Alternate means Every other.

Option 3, i.e. Alternation means Change.

Option 4, i.e. Alternatively means on the other hand

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

The meaning of the word Abandon is to leave and it is the word which is closest in meaning to the given phrase. That is why option 3 is the answer.

Option 1, i.e. Believe means to trust.

Option 2, i.e waiver means Surrender

Option 4, i.e Relate means to connect with

The correct answer is option 2, i.e. Immoral

The meaning of the word Immoral is unethical so it is closest in meaning to the given phrase.

Option 1, i.e. Immobile means Motionless.

Option 3, i.e. Immortal means undying

Option 4 'i.e. Impossible means not possible.

The correct answer is option 1, i.e. Not only the patients but also the doctor visits the chapel

In a sentence where not only ....but also is used the verb depends on the second subject. Here the second subject is the doctor which is a third-person singular number. Therefore s should be added to the word visit.

Hence option 1 is the correct answer.

The correct answer is option 1; i.e. Honour and glory are the rewards.

Honour and glory are two different things. Therefore is should be replaced with are. Hence option 1 is the correct answer.

Option 2, i.e. Honour and glory was the reward cannot be chosen because the main sentence is in the present tense.

Option 3,i.e. Honour and glory were the rewards cannot be chosen because the main sentence is in the present tense.

The correct answer is option 3, i.e. Promises should be kept.

The given sentence is written in active voice and it is an imperative sentence that expresses advice.

The structure of the given sentence is: subject+ verb+ object

The structure of the sentence in passive voice should be: subject (object of the active voice)+ should+be+ past participle of the verb

'Promises' will be the subject of the sentence in Passive voice and after that 'should be' is written followed by 'kept'(past participle of 'keep').

Thus, the correct answer is option 3.

The correct answer is option 4, i.e. 'Three witches deceived Macbeth by their enticing words, which led him to his destruction.'

The main clause is Macbeth was deceived by the enticing words of three witches is written in the passive voice. 

• Here the actual subject 'the three witches' is the object and the real object 'Macbeth' is the subject.
• To get the active voice we need to reverse the subject and objects.
• When the subject and object have reversed the passive voice verb 'was deceived' changes to deceived in the Active voice.
• It is written in the past tense because the tense of the verb of the sentence in passive voice is also in the past tense.
• ​The subject now is the three witches and the object now will become Macbeth and it should be written after the main verb.

After that, the rest of the sentence is written.

The three witches deceived Macbeth by their enticing words, which led him to his destruction. 

Thus option 4 is the answer.

The correct answer is option 4, i.e. By whom was the art of printing created first?

The given sentence is in active voice and it should be changed into passive voice.

The sentence in the active voice begins with who, therefore by whom must be written at first while changing the sentence into passive voice**.** After that the to be verb should be written. The sentence is in the past tense, so was should be written here followed by the object i.e. the art of printing. 

Hence option 4 is the correct option.

The correct answer is option 4, i.e. were referred

The sentence is in the passive voice. The subject of the sentence is respected scholars which is a plural number and the sentence is in past tense. Therefore, option 4- were referred should be chosen and that is why option 4 is the correct answer.

Option 1, i.e. are referred cannot be chosen because it is in present tense.

Option 2 i.e. was referred cannot be chosen because was is used for singular number.

Option 3, i.e. referred cannot be chosen because the sentence is in the passive voice.

The correct answer is option 3, i.e. had been writing.

The mentioned action was taken in past and it continued for a certain period. Therefore Past perfect continuous tense should be chosen. So option 3 is the correct answer.

Option 1, i.e. has been writing which is present perfect continuous tense cannot be chosen because it is a finished action.

Option 2, i.e. Wrote cannot be chosen because Past tense is used to mention an action which was taken in past.

Option 4, i.e. was writing cannot be chosen because the duration of the action is also mentioned.

The correct answer is option 3, i.e. has been passing

The action that is mentioned in this sentence is being taken for a certain period of time and it is still going on. Therefore, present perfect continuous tense should be used here. That is why option 3 is the correct option.

Option 1, i.e. Passed cannot be chosen because the mentioned action is not complete yet.

Option 2,i.e. Is passing which is present continuous tense can not be the answer because the action was started being taken in past.

Option 4, i.e. Passes which is present indefinite tense is clearly not the correct answer.

The correct answer is option 4,i.e. but also as a poet with extraordinary sensibility.

Key Points

• In this given sentence not only is used and not only........but also is the correct structure. That is why option 4 should be chosen as the correct answer.
• Option 1, i.e., as well as a poet with extraordinary sensibility should not be chosen because as well as should not be chosen when not only is used.
• Option 2, i.e., as a poet with extraordinary sensibility should not be chosen with not only.
• Option 3, i.e. as if a poet with extraordinary sensibility should not be the correct answer because it is not making the sentence meaningful.

The correct answer is option 2,i.e.to suit young readers.

Key Points

• The purpose of some action is discussed in this given sentence. Therefore, infinitive should be used here. That is why option 2 is the correct option.
• Option 1, i.e. suiting for young readers cannot be chosen because 'suiting' is not an infinitive.
• Option 3,i.e. for suitable young readers should not be the answer because it is changing the meaning of the sentence and not mentioning the purpose of the taken action.
• Option 4, i.e. for suiting young readers should not be chosen as the correct option because it fails to express the purpose of the action taken.