SSC CHSL Tier-1 2023: Official Paper (Held On: 08 Aug, 2023 Shift 1) (Previous Year Paper)

An ordinary year has 1 odd day and a leap year has 2 odd days. 

So, the day on the same date for an ordinary year will be 1 day ahead and the day on the same date for a leap year will be 2 days ahead for the next year.

If 21 May 2009 is Thursday, then the day on these dates will be:

21 May 2010 → Friday

21 May 2011 → Saturday

21 May 2012 → Monday

21 May 2013 → Tuesday

21 May 2014 → Wednesday

21 May 2015 → Thursday

21 May 2016 → Saturday

21 May 2017 → Sunday

Number of days between 21 May 2017 to 15 July 2017 = (10 + 30 + 15) = 55

55 when divided by 7, leaves 6 as remainder.

Sunday + 6 = Saturday

Therefore, it will be Saturday on 15 July 2017.

Hence, ‘Saturday’ is the correct answer.

The least possible Venn diagram is: 

Conclusion (I) : Some guns are ships. → Follows (As, All tankers are ships and Some tankers are guns → Some guns are ships)

Conclusion (II) : Some tankers are rockets. → Does not follow (As, there is no definite relation between tankers and rockets. Hence, false)

Hence, ‘Only conclusion (I) is true’ is the correct answer.

The logic followed here is:

Similarly,

Hence, 'NTW: LRU' is the correct answer.

The logic followed in the given figure series is:

From Figure (1) to (2):

The lower triangle rotates 180º.

From Figure (2) to (3):

The upper triangle rotates 180º.

From Figure (3) to (4):

The lower triangle rotates 180º.

From Figure (4) to Answer Figure:

The upper triangle rotates 180º.

Hence, the correct answer is "Option (3)".

The logic followed here is:

Similarly,

Hence, 'KPAU' is the correct answer.

The logic followed here is:

Logic: (Third number × 2) + Second number = First number

• 46 - 12 - 17 → 17 × 2 + 12 = 34 + 12 = 46
• 62 - 12 - 25 → 25 × 2 + 12 = 50 + 12 = 62

Similarly,

• 85 - 13 - 36 → 36 × 2 + 13 = 72 + 13 = 85

Hence, '85 - 13 - 36' is the correct answer.

The logic followed here is:

Logic: (First number)2 + 3 = Second number

• 4, 19 → 4² + 3 = 16 + 3 = 19
• 11, 124 → 112 + 3 = 121 + 3 = 124

Similarly,

• 13, 172 → 132 + 3 = 169 + 3 = 172

Hence, '13, 172' is the correct answer.

Given equation: 9 + 11 ÷ 2 × 36 - 12 = ?

If '+' and '×' are interchanged and '-' and '÷' are interchanged, then the equation becomes:

9 × 11 - 2 + 36 ÷ 12 = ?

⇒ 9 × 11 - 2 + 3 = ?

⇒ 99 - 2 + 3 = ?

⇒ 102 - 2 = ?

⇒ 100 = ?

Hence, '100' is the correct answer.

The logic followed here is:

1. ZAVAAZZV → Z A Z / V V Z / A A A / V A Z / Z A V
2. VAAVZZVZ → V A Z / V A Z / V A Z / V A Z / V A Z
3. AVZVVZVZ → A V Z / V Z Z / V A V / V A Z / V A Z
4. AVVAZZVV → A V Z / V V Z / A A Z / V A Z / V A V

• In option 2, VAZ is repeated.

Hence, 'VAAVZZVZ' is the correct answer.

The logic followed here is:

Logic: (First number)² + 1 = Second number

• 5 ∶ 26 → 5² + 1 = 25 + 1 = 26
• 9 ∶ 82 → 92 + 1 = 81 + 1 = 82

Similarly,

• 2 ∶ 5 → 22 + 1 = 4 + 1 = 5

Hence, '2 ∶ 5' is the correct answer.

83 + 7 × 539 ÷ 49 - 29 = ?

⇒ 83 + 7 × 11 - 29 = ?

⇒ 83 + 77 - 29 = ?

⇒ 160 - 29 = ?

⇒ 131 = ?

Hence, ‘131’ is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

T is grandmother of Q i.e., Q's father's mother.

Hence, ‘Father's mother’ is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, P is L's father sister.

Hence, ‘Father's sister’ is the correct answer.

Mistake PointsPlease note that here since L is married to Q and Q is the Son of P and N. There is a possibility that P is the mother - in - law of L. But as per the options given here and the answer key provide in the official paper, Option 4: Father's sister is the correct answer.

The number of triangles in the figure is shown below:

Hence, '15' is the correct answer.

The logic followed here is:

Logic: (First number × Second number) + 20 = Third number

• 12 - 15 - 200 → (12 × 15) + 20 = 180 + 20 = 200
• 10 - 12 - 140 → (10 × 12) + 20 = 120 + 20 = 140

Similarly,

• 6 - 9 - 74 → (6 × 9) + 20 = 54 + 20 = 74

Hence, '6 - 9 - 74' is the correct answer.

The logic followed here is:

Hence, '271' is the correct answer.

The correct mirror image of the given figure when the mirror is placed at MN is shown below:

Hence, 'option 1' is the correct answer.

The logic followed here is:

1. MCGIV → ABMN / CDOP / EGQR / IHST / IJUV
2. CMGIV  → ABCN / MDOP / EGQR / IHST / IJUV
3. CMGFV  → ABCN / MDOP / EGQR / FHST / IJUV
4. MCFGV  →  ABMN / CDOP / EFQR / GHST / IJUV

When the sequence is divided into five equal parts, in option 4, we see that the first two letters and last two letters forms the alphabet series ABCDEFGHIJ - MNOPQRSTUV.

Hence, 'MCFGV' is the correct answer.

The code for each word is shown below:

Clearly, 'ni' is coded as 'chin' in that language.

Hence, 'ni' is the correct answer.

The logic followed here is:

Hence, '32' is the correct answer.

The position of the letters that will change if each of the letters in the word ACQUIRE is arranged in alphabetical order is shown below:

The position of four letters change when each of the letters in the word ACQUIRE is arranged in alphabetical order.

Hence, 'Four' is the correct answer.

Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

Hence, 'option 4' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'HPS : MUX' is the correct answer.

The code for each letter is shown below:

Clearly, '4' is the code for 'A' in the given code language.

Hence, ‘4’ is the correct answer.

The logic followed here is:

Logic: First letter + 2 = Second letter; Second letter + 2 = Third letter

1. PRT → P + 2 = R; R + 2 = T
2. ACD → A + 2 = C; C + 2 = E ≠ D
3. UWY → U + 2 = W; W + 2 = Y
4. BDF → B + 2 = D; D + 2 = F

Hence, 'ACD' is the correct answer.

The correct answer is 14C.

Key Points

• Carbon-14 (14C):-
• It is the radioactive isotope with a half-life of 5770 years that is commonly used to estimate the age of organic materials such as paper and parchment.
• This is because when plants and animals are alive, they take in carbon-14 from the atmosphere.
• Once they die, the carbon-14 starts to decay at a known rate, allowing scientists to determine how long ago the organism died.
• Carbon-14 dating is a widely used method in archaeology, paleontology, and other fields to determine the age of artifacts and fossils.

The correct answer is APJ Abdul Kalam.

Key Points

• PURA:-
• It stands for Providing Urban Amenities in Rural Areas.
• It is a scheme launched by the Government of India to provide basic infrastructure and amenities in rural areas to improve the standard of living of the rural population.
• The scheme aims to create productive economic zones in rural areas by providing basic infrastructure and amenities like electricity, water supply, roads, sanitation, healthcare, education, and skill development.
• APJ Abdul Kalam said  'PURA is one of the mechanisms which will be utilised for transforming our villages into productive economic zones'.

The correct answer is Lm = (5/6) * Lg.

Key Points

• Geometric length (Lg):-
• It refers to the physical length of a conductor, while magnetic length (Lm) takes into account the end effects caused by the magnetic field around the conductor.
• End effects refer to the distortion of the magnetic field near the ends of a conductor, which causes the effective length of the conductor to be shorter than its physical length.
• The correct relationship between Lg and Lm is important in the design and analysis of electrical machines and devices such as transformers and motors.
• This relationship is derived from the fact that the magnetic length is shorter than the geometric length due to the presence of end effects.
• The relationship between geometric length (Lg) and magnetic length (Lm) is Lm = $\frac{5}{6}$ * Lg.

The correct answer is Kadambini Ganguly.

Key Points

• Kadambini Ganguly:-
• She was born in 1861 in British India and was one of the first female graduates in India.
• She was also the first Indian woman to study and practice medicine in the country.
• She completed her graduation from Calcutta University in 1883, and later went on to study medicine at the Women's Medical College in Philadelphia, USA.
• Kadambini Ganguly was a pioneering figure in the Indian women's rights movement, and was actively involved in social and political reforms for women.
• She was also the first woman to be admitted to the British Indian Medical Service, and the first female physician in South Asia to practice allopathic medicine.

Additional Information

• Sarojini Naidu:-
• She was a prominent Indian poet, and a leading figure in the Indian independence movement.
• Annie Besant:-
• She was a British socialist, theosophist, and women's rights activist who played a key role in India's struggle for independence.
• Rajkumari Amrit Kaur:-
• She was an Indian freedom fighter and social reformer who played a key role in the Indian independence movement.

The correct answer is At lower rates of interest, speculative demand for money will be higher.

Key Points

• Speculative demand for money:-
• It refers to the demand for money to be held as an asset for future profitable investment opportunities.
• At lower rates of interest, the opportunity cost of holding money is lower, making it more attractive to invest in speculative assets.
• At higher rates of interest, the opportunity cost of holding money is higher, making it less attractive to invest in speculative assets.
• Therefore, speculative demand for money will be higher at lower rates of interest.

The correct answer is Disinvestment of Public Sector Banks by the Government.

Key Points

• Disinvestment of Public Sector Banks:-
• It is an example of capital receipt because it involves selling a government asset (shares in public sector banks) to raise funds for the government.
• Capital receipts are those receipts that either create a liability for the government or reduce its assets. They include disinvestment proceeds, loans raised by the government, and recovery of loans granted by the government.
• Disinvestment of public sector banks is a way for the government to reduce its ownership in these banks and raise funds for other purposes. It also helps in improving the efficiency and competitiveness of these banks.

Additional Information

• Passport fees:-
• These are charged by the government for issuing passports to citizens.
• Land registration:-
• This fee is collected for registering land transactions.
• General donation:-
• It is a voluntary contribution made by an individual or organization to a cause or charity.

The correct answer is Article 51A (f).

Key Points

• Article 51A (f):- 
• The father was promoting the fundamental duty mentioned in Article 51A (f), to value and preserve the rich heritage of our composite culture.
• This duty emphasizes the importance of unity in diversity and the need to respect and celebrate the different cultural traditions of India.

Additional Information

• Article 51A (e):-
• It mentions the duty to promote harmony and the spirit of common brotherhood amongst all the people of India transcending religious, linguistic, and regional or sectional diversities and to renounce practices derogatory to the dignity of women,
• Article 51A (d):-
• It mentions the duty to defend the country and render national service when called upon to do so,
• Article 51A (c):-
• It mentions the duty to uphold and protect the sovereignty, unity, and integrity of India,

The correct answer is To encourage employers to create new jobs.

Key Points

• Pradhan Mantri Rojgar Protsahan Yojana:-
• The PMRPY Scheme of 2016 is a government initiative aimed at incentivizing employers to create new jobs by reimbursing the employer's contribution to the Employee Provident Fund (EPF) and Employee Pension Scheme (EPS) for new employees.
• The scheme is applicable to all sectors and is aimed at reducing unemployment and promoting job creation in the country.
• The scheme covers all new employees earning less than Rs. 15,000 per month and the employer's contribution to EPF and EPS is reimbursed for the first three years of their employment.
• The scheme also aims to promote formalization of the workforce and bring more employees under the ambit of social security benefits.

The correct answer is TK Rangarajan.

Key Points

• TK Rangarajan:-
• He received the Lifetime Achievement Award during the 13^th Sansad Ratna Awards.
• TK Rangarajan is a former Member of Parliament (MP) who served in the Rajya Sabha from 2004 to 2010 and in the Lok Sabha from 2014 to 2019. He is a member of the Communist Party of India (Marxist) and has been actively involved in politics since the 1970s.

Additional Information

• Chandrababu Naidu:-
• He is a prominent politician from Andhra Pradesh who served as the Chief Minister of the state for several terms.
• He is the founder of the Telugu Desam Party and has been active in politics since the 1980s.
• Kumar Mangalam:-
• He is a business tycoon and the Chairman of Aditya Birla Group, one of India's largest conglomerates.
• Sumitra Mahajan:-
• He is a veteran politician from the Bharatiya Janata Party (BJP) who served as the Speaker of the Lok Sabha from 2014 to 2019.

The correct answer is Sitar.

Key Points

• Ustad Vilayat Khan:-
• He is a renowned Indian classical musician who was a sitar player.
• He was born in Gauripur, West Bengal, and belonged to the Imdadkhani gharana of music.
• He was considered a master of the sitar and was known for his unique style and improvisations.
• He was awarded the Padma Bhushan and Padma Vibhushan for his contributions to Indian classical music.

 Additional Information

• Santoor:-
• It is a hammered dulcimer instrument that originated in Kashmir and is played with mallets.
• Bansuri:-
• It is a bamboo flute that is commonly used in Indian classical music and is played by blowing across the mouthpiece.
• Tabla:-
• It is a pair of drums that are used in Indian classical music and are played by striking them with the hands.

The correct answer is Haryana.

Key Points

• Mukhya Mantri Bagwani Bima Yojana:-
• The state government of Haryana launched the crop insurance portal 'Mukhya Mantri Bagwani Bima Yojana' in 2022.
• This scheme aims to provide insurance coverage to farmers against any losses incurred due to natural calamities or other unforeseen events.
• The portal will also enable farmers to register themselves and apply for insurance policies online, making the process more accessible and hassle-free.
• The scheme will benefit around 22 lakh farmers in the state who will be able to avail of insurance coverage for various crops such as wheat, paddy, and vegetables.
• The Haryana government has allocated Rs. 1,000 crore for the implementation of this scheme.

Additional Information

• Uttar Pradesh has launched various schemes for farmers such as:-
• 'Kisan Kalyan Mission'
• 'Kisan Rin Mochan Yojana'
• Punjab has launched:-
• 'Kisan Vikas Schemes' to provide financial assistance to farmers for the purchase of seeds, fertilizers, and other agricultural inputs.
• Rajasthan:-
• It​ has launched the 'Kisan Mitra Yojana' to provide financial assistance to farmers for the purchase of agricultural equipment and machinery.
• The state government has also launched the 'Mukhya Mantri Kisan Mitra Urja Yojana' to provide solar-powered water pumps to farmers.

The correct answer is 1930.

Key Points

• British Empire Games:-
• These were started in 1930 and were held every four years until 1950.
• The games were designed to bring together athletes from the British Empire and promote goodwill and understanding among them.
• The first games were held in Hamilton, Canada, and featured 400 athletes from 11 countries competing in six sports.
• The games were renamed the Commonwealth Games in 1978 and have since been held every four years, with the exception of 2020 when they were cancelled due to the COVID-19 pandemic.

The correct answer is Escheat.

Key Points

• Escheat:-
• It is a legal concept that refers to the transfer of property ownership to the state when the owner dies without leaving a will or any legal heirs.
• This process ensures that the property does not remain unclaimed or become abandoned, and the state can use the proceeds for public welfare or other purposes.
• Escheat is a common law principle that dates back to medieval times and is still recognized in many jurisdictions worldwide.

Additional Information

• Moot:-
• It refers to a point that is no longer relevant or debatable.
• Felony:-
• It is a serious crime.
• Lien:-
• It is a legal claim over someone's property as security for a debt or obligation.

The correct answer is Madhya Pradesh.

Key Points

• Deccan Plateau:-
• It is a large plateau located in southern India, covering most of the Indian states of Karnataka, Maharashtra, Andhra Pradesh and Telangana.
• The Deccan Plateau is known for its rich biodiversity, with a variety of flora and fauna, including several endemic species.
• The region is also home to several important cultural and historical sites, including the Ajanta and Ellora caves, the city of Hyderabad, and the ruins of the Vijayanagara Empire.

Additional Information

• Telangana:-
• It is a state located in southern India, formed in 2014 after the bifurcation of Andhra Pradesh.
• It is known for its rich history and culture, as well as its IT industry and agricultural production.
• Maharashtra:-
• It is a state located in western India, known for its capital city Mumbai, as well as its rich history, diverse culture, and vibrant economy.
• Andhra Pradesh:-
• It is a state located in southern India, known for its beautiful beaches, rich history and culture, and thriving IT industry.
• It is also home to several important pilgrimage sites, including the Tirumala Venkateswara Temple.
• Madhya Pradesh:-
• It is a state located in central India, known for its rich cultural heritage, wildlife reserves, and historical sites, including the Khajuraho Group of Monuments and the Sanchi Stupa.
• It is also one of the largest states in India, both in terms of area and population.

The correct answer is Rivet popper hypothesis.

Key Points

• Rivet popper hypothesis:-
• This hypothesis suggests that species in an ecosystem are like rivets in an airplane, and if too many are lost, the entire system can collapse.
• Paul Ehrlich proposed this hypothesis to highlight the importance of species richness in maintaining ecosystem function and stability.

Additional Information

• Portfolio hypothesis:-
• It suggests that a diverse portfolio of species can reduce risk in an ecosystem.
• Redundancy hypothesis:-
• It proposes that multiple species can perform the same function, making some species less important than others.
• Predation hypothesis:-
• It suggests that predators can regulate the abundance of prey species in an ecosystem.

The correct answer is Jharkhand.

Key Points

• Paika dance:-
• It is a traditional dance form performed in the state of Jharkhand.
• It is a warrior dance performed by the Paika community, who were once the protectors of the villages in the state.
• The dance form involves the use of weapons like swords, sticks, and shields, and is performed to the beats of drums and other traditional instruments.
• The dance is usually performed during festivals and other cultural events, and is a popular attraction among tourists visiting Jharkhand.

Additional Information

• Goa:-
• It is known for its popular folk dance forms like Fugdi and Dhalo.
• Kerala:-
• It is known for its classical dance form, Mohiniyattam, and Kathakali.
• Assam:-
• It is known for Bihu dance, a popular folk dance form.

The correct answer is Bombay.

Key Points

• Arya Samaj:-
• It is a Hindu reform movement that aims to promote monotheism and Vedic knowledge among Hindus and to eradicate social evils such as caste system, untouchability, child marriage, and dowry.
• Maharshi Dayanand Saraswati founded the Arya Samaj organisation in 1875.

Additional Information

• Delhi:-
• It was the place where the Indian National Army was founded in 1942, not Arya Samaj.
• Amritsar:-
• It is a holy city in Punjab that is known for the Golden Temple and the Jallianwala Bagh massacre.

The correct answer is lengthiest written constitution.

Key Points

• Indian Constitution:-
• It was adopted on 26^th January 1950 and has undergone several amendments since then. It currently consists of a Preamble, 448 Articles, and 12 Schedules.
• The Constitution is considered the lengthiest written constitution in the world because of its comprehensive nature and detailed provisions covering various aspects of governance, rights, and duties of citizens, and the functioning of the government.
• The Constitution is also unique in its approach to federalism, where there is a division of powers between the central government and the state governments. This has been achieved through the distribution of powers in the Union List, State List, and Concurrent List.
• The Constitution also provides for a system of checks and balances, where the three branches of government (legislature, executive, and judiciary) have separate and distinct functions, and each branch acts as a check on the other two.

Additional Information

• Indian Constitution is not a rigid constitution.:-
• The Indian Constitution is a mix of both rigid and flexible features. While some provisions of the Constitution can only be amended by a special majority of the Parliament, other provisions can be amended by a simple majority.
• Indian Constitution provides for a presidential form of government:-
• The Indian Constitution provides for a parliamentary form of government where the President is a nominal head of state, and the Prime Minister is the real head of the government.
• Indian Constitution provides for dual citizenship:-
• The Indian Constitution does not provide for dual citizenship. Instead, it recognizes a single citizenship for all Indian citizens.

The correct answer is Gujrat.

Key Points

• Modhera dance festival:-
• It is a three-day cultural event that takes place annually in Modhera, Gujarat.
• The festival is held in the Sun Temple, which is a UNESCO World Heritage Site.
• The festival features various classical dance forms of India, including Kathak, Bharatanatyam, and Manipuri.
• The festival also includes cultural programs, exhibitions, and food stalls.

Additional Information

• Maharashtra:-
• It is known for its rich heritage in classical music and dance, but Modhera dance festival is not performed in this state.
• Karnataka:-
• It is known for its classical dance form, Yakshagana, but Modhera dance festival is not performed in this state.
• Manipur:-
• It is known for its classical dance form, Manipuri, which is also performed at Modhera dance festival, but the festival is not held in Manipur.

The correct answer is Jupiter.

Key Points

• Great Red Spot:-
• The planet on which the rotating oval of clouds, twice as wide as Earth, called the 'Great Red Spot' has been observed for more than 300 years is Jupiter.
• The Great Red Spot on Jupiter is a massive storm that has been raging for centuries, and it is so large that it could easily swallow the entire Earth.
• The Great Red Spot is a high-pressure region in Jupiter's atmosphere, and it is believed to be a giant hurricane-like storm.
• Jupiter:-
• It is the largest planet in our solar system and is known for its many moons and its strong magnetic field.

The correct answer is Bharatanatyam.

Key Points

• Bharatanatyam:-
• It is a classical dance form that originated in Tamil Nadu, India.
• It is known for its grace, purity, and tenderness of expression.
• The dance form involves intricate footwork, hand gestures, facial expressions, and body movements.
• Narthaki Nataraj belongs to the Bharatanatyam dance genre.

The correct answer is Morocco.

Key Points

• Ibn Battuta:-
• He was a famous traveller who lived during the 14^th century.
• He was born in Morocco and is known for his extensive travels throughout Africa, Asia, and Europe.
• Ibn Battuta is considered one of the greatest travellers of all time.
• He started his travels at the age of 21 and spent the next 29 years travelling over 73,000 miles.
• He wrote about his travels in a book called "Rihla" which is considered one of the greatest travelogues in history.

The correct answer is Aman Sherawat.

Key Points

• Aman Sherawat:-
• He won Gold Medal in the 57 kg category at the Asian Wrestling Championship 2023.
• Aman Sherawat is an Indian wrestler who hails from Haryana and has been a consistent performer in the national and international arena.

Additional Information

• Asian Wrestling Championship:-
• It is a major wrestling championship organized by the Asian Wrestling Federation.
• The championship features wrestlers from different countries in Asia competing in different weight categories.

The correct answer is Manisha Kalyan.

Key Points

• Manisha Kalyan.:-
• She became the first Indian footballer to play in the UEFA Women's Champions League in 2022.
• Manisha Kalyan is a 20-year-old forward who plays for Rangers Women FC in Scotland.
• She had earlier played for Gokulam Kerala FC in the Indian Women's League.

Additional Information

• Pyari Xaxa:-
• She is an Indian footballer who plays as a midfielder for the national team and has represented India at the Asian Games and SAFF Championship.
• Ashalata Devi:-
• She is also an Indian footballer who plays as a defender and has won the AIFF Women's Player of the Year award twice.
• Jyoti Chouhan:-
• She is an Indian footballer who plays as a forward and has represented India at the SAFF Championship and AFC Women's Asian Cup Qualifiers.

The correct answer is the initiation of the National Rural Livelihood Mission.

Key Points

• National Rural Livelihood Mission:-
• The committee headed by Radhakrishna recommended the initiation of the National Rural Livelihood Mission.
• The National Rural Livelihood Mission was launched in 2011 by the Ministry of Rural Development, Government of India, to reduce poverty among rural households.
• The mission aims to organize rural poor women into Self Help Groups (SHGs) and provide them with financial assistance, skill development training, and livelihood opportunities.
• The mission also seeks to strengthen the rural poor's access to institutional credit, insurance, and other financial services.
• Radhakrishna committee:-
• It was appointed by the Reserve Bank of India (RBI) in 2007 to review the state of microfinance in India and suggest measures for its growth and regulation.
• The committee submitted its report in 2008, which made several recommendations, including the initiation of the National Rural Livelihood Mission.

Given:

Length (l) = 12 m

Width (w) = 9 m

Depth (h) = 7.5 m

Formula:

Volume (V) = l × w × h

Calculation:

Volume in cubic meters = 12 × 9 × 7.5 = 810 m³

1 cubic meter = 1000 liters

Volume in liters = 810 × 1000 = 810,000 liters

Given:

A = 1/7

B = 1/8

Formula used:

Average =$\frac{A + B + C}{3}$

Calculation:

⇒ $\frac{1}{13} = \frac{\frac{1}{7} + \frac{1}{8} + C}{3}$

⇒ $\frac{1}{13} × 3 = \frac{1}{7} + \frac{1}{8} + C$ 

⇒ $\frac{3}{13} = \frac{8 + 7}{56}$+ c

⇒ $\frac{3}{13} = \frac{15}{56}$+ c

⇒ $C = \frac{3}{13} - \frac{15}{56}$

⇒ $C = \frac{-27}{728}$

Therefore, the value of C is $(-\frac{27}{728}).$

Given:

MA = 2.5, AN = 7.5, MB = 2.2

Calculation:

Let BO = x

⇒ MA/(AM +AN) = MB/(MB + BO)

⇒ 2.5/( 2.5 + 7.5) = (2.2)/((2.2 + x)

⇒ 2.5/(10) = (2.2)/((2.2 + x)

⇒ 22 = 2.5 × 2.2 + 2.5x

⇒ 22 = 5.5 + 2.5x

⇒ 22 - 5.5 = 2.5x

⇒ 16.5 = 2.5x

⇒ x = 6.6

Thus, the solution for BO is 6.6.

Given

sec θ = $2\frac{4}{23}$

Formula used

sec² θ - tan2 θ = 1

Calculation

Applying the above formula:

tan2 θ = (50/23)² - 1

tan2 θ = (2500 - 529)/529 = 1971/529

= $3\frac{384}{529}$

The answer is $3\frac{384}{529}$

Calculation

Total marks obtained in chemistry by all six students = 43 + 35 + 22 + 40 + 52 + 48 = 240

Average = 240/6 = 40

The answer is 40.

Given:

Cost price of 70 articles = Rs. 16875

Loss = 5 × Selling price of 1 article

Formula used:

Loss = Cost price - Selling price

Calculation:

Let the selling price of one article be Rs. x

So according to the question,

5x = 16875 - 70x

⇒ 75x = 16875

⇒ x = 225

∴ Selling price of one article = Rs. 225

The answer is 225.

Given:

Principal p = Rs. 10,000

Rate R = 20%

Time period n = 1(1/2) years

Formula Used:

For compounded half yearly

A = p × [1 + (R/2)/100]²ⁿ

Calculation:

⇒ A = 10,000 × [1 + (20/2)/100]^{2 × 3/2}

⇒ 10000 × (1.1)³

⇒ 10000 × 1.331

⇒ Rs. 13310

CI = 13310 - 10000 = 3310

The answer is 3310

Calculation

The number of laptops sold by A = 18% of 11200 = 2016

The number of Dell laptops sold by A = 2016 × 5/9 = 1120

The number of laptops sold by C = 20% of 11200 = 2240

The number of HP laptops sold by C = 2240 × 4/5 = 1792

The number of laptops sold by D = 12% of 11200 = 1344

The number of HP laptops sold by D = 1344 × 10/21 = 640

The ratio = 1120 :(1792 + 640) = 1120: 2432

= 35: 76

The answer is 35:76

Formula used

The speed of the current = (downstream speed - upstream speed)/2

Calculation

Applying the above formula:

The speed of the current = (downstream speed - upstream speed)/2 = (35 - 25)/2

= 5 km/hr

The answer is 5 km/hr

Concept used

Divisors of the number will also be the factors of the number

Calculation

2520 = 2³ × 3² × 5 × 7

Hence 8, 9 and 7 will all be the divisors of the number.

Given:

The unequal angle is five times the sum of the equal angles

Concept used:

The sum of the angles of the triangle is 180°.

Calculation:

Let the two equal angles be x.

The unequal angle = 5(x + x) = 10x

⇒ 10x + x + x = 180

⇒ 12x = 180

x = 15

Each equal angle is 15°

Given:

A man sold his goods at a loss of 10%.

Had he sold it for Rs 270 more, he would have gained 8%.

Formula used:

Selling price = cost price (100 + profit)/100

Selling price = cost price (100 – loss)/100

Calculation:

Let the cost price of the watch be x

At a loss of 10%

Selling price = x(100 – 10)/100

⇒ 90x/100

According to the question,

Had he sold it for Rs 270 more, he would have gained 8%.

⇒ (100 + 8)x/100 – 90x/100 = 270

⇒ (108 – 90)x/100 = 270

⇒ 18x = 27000 = 1500

The answer is 1500

Formula used

Cos(90 - θ) = sinθ

Tan = 1/cotθ

Calculation

Cos(90 - 25) = sin 25º

cos65º = sin25º

Similarly, cos55º = sin35º 

 $\frac{\cos 65^{\circ}}{\sin 25^{\circ}}$ + $\frac{\cos 55^{\circ}}{\sin 35^{\circ}}$ - tan 50°cot 50°

⇒ sin25º/sin25º + cos55º/cos55º - tan 50° × 1/tan 50°

⇒ 1 + 1 - 1 = 1

The answer is 1

Given:

Inlet pipe fills tank in 51 hours.

Outlet pipe empties tank in 76.5 hours.

Concept Used:

Rate of filling/emptying tank by pipes when working together = Rate of inlet pipe - Rate of outlet pipe.

Calculation:

Rate of inlet pipe: 1/51 tank/hour

Rate of outlet pipe: 1/76.5 tank/hour

Net rate when both pipes are open:

⇒ 1/51 - 1/76.5

⇒ 1.5 - 1 / 76.5

⇒ 0.5 / 76.5 = 1/153 tank/hour

Hence, the tank will be completely filled in 153 hours when both pipes are open.

Alternate Method Formula used

Time taken = (Inlet duration × Outlet duration)/Time difference

Calculation

Applying the above formula:

Time taken = (76.5 × 51)/25.5 = 153 hours

The answer is 153 hours.

Given:

Profit = 5%

He offered a discount of 25%

Formula used:

MP/CP = (100 + P)/(100 - D)

Profit% = (selling price - cost price)/cost price × 100

Calculation:

MP/CP = (100 + P)/(100 - D)

MP/CP = 105/75 = 7/5

% over CP = (7 - 5)/5 × 100 = 40%

The answer is 40%

Formula used

Cos(90 - θ) = sinθ

Calculation

Cos(90 - 65) = sin 65º

cos²25º = sin² 65º

$\frac{\operatorname{Cos}^2 25^{\circ}-\operatorname{Sin}^2 65^{\circ}}{\operatorname{Cos}^2 25^{\circ}+\operatorname{Sin}^2 65^{\circ}}$

⇒ cos225º - sin2 65º = sin2 65º - sin2 65º = 0

The answer is 0.

Given:

The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. 

Concept used:

Chord Length Using Perpendicular Distance from the Center = 2 × √(R² - d²)

(Where r = radius of the circle, d = distance between the centre and the chord)

Calculation:

Let the radius of the circle be R.

Here,

AB = 24 cm long chord

OD = Perpendicular distance between the centre and chord

OB = Radius

​According to the concept,

24 = 2 × √(R2 - d2)√√√

⇒ 12 = √(R2 - d2)√√√

⇒ 144 = R² - 5²

⇒ R² = 169

⇒ R = 13

∴ The radius of the circle is 13 cm.

Given

Time = 6 years

Rate = 5%

Formula used

Instalment = [Due amount × 100] / [100t + rt(t – 1) /2]

Calculation

Instalment = [Due amount × 100] / [100t + rt(t – 1) /2]

⇒ 800 = [D × 100] / [600 + (5 × 6 × 5) /2]

⇒ 800 = 100D/675

⇒ D = 8 × 675 = 5400

∴ Debt amount = Rs. 5400

The answer is 5400

Given:

x² - 11x + 1 = 0

Concept used:

If x + 1/x = p then x² + 1/x² = p² - 2

Calculation:

On dividing x² - 11x + 1 by x we get,

⇒ x - 11 + 1/x = 0

⇒ x + 1/x = 11

⇒ x² + 1/x² = (11)² - 2

⇒ x² + 1/x² = 121 - 2

x2 + 1/x2 = 119

Squaring both sides

⇒ x4 + 1/x4  = 14161 - 2 = 14159

x8 - 14159x4 + 11

⇒ x⁴(x⁴ - 14159) + 11

⇒ x4(x4 - x4 - 1/x4) + 11

⇒ x4(- 1/x4) + 11

⇒ -1 + 11 = 10

The answer is 10.

Given:

a + b + c = 16,

ab + bc + ac = 81

Concept used:

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

Calculation:

a + b + c = 9

⇒ (a + b + c)² = 16²

⇒ a2 + b2 + c2 + 2 × (ab + bc + ac) = 256

⇒ a2 + b2 + c2 + 2 × (81) = 81

⇒ a2 + b2 + c2 = 256 - 162 = 94

The answer is 94.

Given:

3 and 27

Concept used:

Mean Proportion = √(a × b) 

Calculation:

Mean Proportion = √(3 × 27)

Mean Proportion = √(81) = 9

∴ The mean proportion of 3 and 27 is 9.

Given:

The radii of both circles are 9 cm and 4 cm

Both circles touch each other at point A externally

PQ is the common tangent of both circles.

Calculations:

Length of a direct common tangent, when 2 circles are touching externally, 

⇒ √[d² - (R - r)²]

where D is the distance between 2 centres

R and r are 2 radii of circles

Calculation:

Using the formula, we get

⇒ √[132 - (9 - 4)²]

⇒ √144 = 12

∴ The length of PQ = 12 cm.

Calculation

The companies having more demand than production are A, C and E.

The companies  having more production than demand are B and D

The ratio = 3: 2

The answer is 3: 2

Formula used

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

Calculation

(a + b + c)2 - (a - b + c)2 + 4 ac

⇒ a2 + b2 + c2 + 2(ab + bc + ca) - [a2 + b2 + c2 - 2ab - 2bc + 2ca)] + 4ac

⇒ a2 + b2 + c2 + 2(ab + bc + ca) - a2 - b2 - c2 + 2ab + 2bc - 2ca + 4ac

⇒ 2ab + 2bc + 2ab + 2bc + 4ac

⇒ 4(ab + bc + ca)

The answer is 4(ab + bc + ca)

Given:

A company offers four types of successive discounts:

I.  25% and 15%

II. 30% and 10%

III. 35% and 5% 

IV. Both 20% each 

Formula used:

Overall discount formula = (a + b - ab/100×�100×�100 )%

Calculation:

I. Offer for 25% and 15%

Overall discount = (25 + 15 - (25 × 15)/100×15100×15100 )% = 36.25%

II. Offer for 30% and 10%

Overall discount = (30 + 10 - (30 × 10)/100)% = 37%

III. Offer for 35% and 5%

Overall discount = (35 + 5 - (35 × 5)/100×15100×15100 )% = 38.25%

IV. Offer for 20% and 20%

Overall discount = (20 + 20 - (20 × 20)/100×15100×15100 )% = 36%

On comparing the above result, It can be inferred that,

∴ The third offer is best for customers.

The correct answer is "Being absent minded."

 Key Points

• The idiom "head in the clouds" means that someone is not paying attention to their surroundings or is daydreaming. (कोई अपने परिवेश पर ध्यान नहीं दे रहा है या दिवास्वप्न देख रहा है)
• Example: He's always got his head in the clouds during meetings, so he never contributes anything useful.
• The phrase can also imply that someone is unrealistic or impractical in their thinking.
• The correct answer is Option 2.

The correct answer is "enumerate."

 Key Points

• "Itemize" means to make a list of all the separate items in something. (किसी वस्‍तु से संबंधित अलग-अलग मदों की सूची बनाना, मदवार देना)
• Example: We asked for an itemized bill, listing all our phone calls and how long they were.
• "Enumerate" is the synonym for "Itemize."
• The word 'enumerate' means to list or mention items one by one. (गणन करना, एक-एक कर वस्‍तुओं का नाम बताना)
• Example: I will enumerate all the tasks that need to be completed before the project deadline.
• The correct answer is Option 2.

Correct sentence: I enumerate the work that will have to be done.

Additional Information

• Option 1) impart means to give or convey information. (अन्‍य व्‍यक्तियों को जानकारी पहुँचाना, ज्ञान प्रदान करना)
• Option 3) conceal means to hide or keep something secret. ((किसी से कुछ) छिपाना; गुप्‍त रखना)
• Option 4) assess means to evaluate or judge something. (राय बनाना, आँकना)

The correct answer is "BADCE". 

Key Points

• B. the last two years -
• This is establishing a timeframe within which something happened.
• This makes sense to start the sentence, so we know when the events occurred.
• A. have seen a major blow -
• This is stating the experience of whoever or whatever the sentence is about.
• "Have seen a major blow" means that they have been hit hard or badly affected by something.
• As it is phrased as an effect, it should follow a subject.
• D. to the world’s economy and -
• It seems to refer to the subjects that were negatively affected.
• This clause should precede A to establish what was affected.
• C. people and lower-income countries -
• This clause specifies other entities that have been affected.
• Ideally, it should come after the things that were affected were mentioned.
• Since D already mentions the world's economy, this clause completes the subjects which have seen the major blow.
• E. were hit particularly hard -
• This finishes the sentence by specifically focusing on how badly "people and lower-income countries" were affected.
• Therefore, the sentence correctly structured appears as follows:
• The last two years have seen a major blow to the world’s economy and people, and lower-income countries were hit particularly hard.

So, the correct sequence is "Option 3".

The correct answer is "Insert."

Key Points

• "Extract" means to remove or take out. (हटाना या बाहर निकालना)
• Example: He extracted the tooth from the patient's mouth.
• The antonym of 'Extract' is 'Insert.'
• "Insert" means place, fit, or push (something) into something else. ((किसी चीज़ को) किसी और चीज़ में रखना, फ़िट करना या धकेलना)
• Example: Claudia inserted her key in the lock.
• The correct answer is option 1.

Additional Information

• Option 2, Fry: to cook food in hot oil or fat. (गर्म तेल या वसा में भोजन पकाना)
• Option 3, Cut: to divide or separate something using a sharp tool. (किसी नुकीले औज़ार से किसी चीज़ को बाँटना या अलग करना)
• Option 4, Pull: to use force to move something towards oneself or away from something else. (किसी चीज़ को अपनी ओर या किसी और चीज़ से दूर ले जाने के लिए बल का प्रयोग करना)

The correct answer is "continued to study for his upcoming exam."

 Key Points

• The sentence contains a tense inconsistency.
• The first part of the sentence is in the past tense ("Although he was exhausted from working all day"), but the second part shifts to the present tense ("John continues to study for his upcoming exam").
• The correction ensures that the verb "continued" agrees in tense with the past tense in the first part of the sentence ("he was exhausted").
• The correct answer is option 3.

Correct sentence: Although he was exhausted from working all day, John continued to study for his upcoming exam.

The correct answer is "Mollification."

 Key Points

• "Assuagement" means the act of making something less severe or painful. (किस��� चीज़ को कम गंभीर या दर्दनाक बनाने की क्रिया)
• Example: The assuagement of his pain came from taking the prescribed medication.
• "Mollification" is a synonym of "assuagement."
• It means the act of pacifying or soothing. (शांत करने की क्रिया)
• Example: His unsuccessful mollification of the mob was a significant act.
• The correct answer is Option 4.

Additional Information

• Option 1: Consignment means a batch of goods that are sent or delivered to someone. (माल का एक बैच जो किसी को भेजा या वितरित किया जाता है)
• Option 2: Stratification means the arrangement or formation of layers or strata. (परतों की व्यवस्था या गठन)
• Option 3: Ruthlessness means the lack of mercy or compassion; being cold-hearted or cruel. (दया या करुणा की कमी; ठंडे दिल वाला या क्रूर होना)

The correct answer is "Equalities."

Key Points

• "Prejudices" mean a strong unreasonable feeling of not liking or trusting somebody/something, especially when it is based on his/her/its race, religion or sex. (किस व्‍यक्ति या वस्‍तु के प्रति प्रबल नापसंदगी या अविश्‍वास, विशेषतः उसकी जाति, धर्म या लिंग के कारण; पूर्वाग्रह)
• Example: Laws against racial prejudices must be strictly enforced.
• "Equalities" mean the state of being equal, especially in status, rights, and opportunities. (समानता, बराबरी)
• Example: We are committed to the ideals of equalities.
• Therefore, the opposite of prejudices is equalities.
• The correct answer is Option 4.

Additional Information

• Option 1, Favours: This word means an act of kindness beyond what is due or usual.

• Option 2, Discriminations: This word means the unjust or prejudicial treatment of different categories of people or things, especially on the grounds of race, age, or sex.

• Option 3, Bigotries: This word means intolerance towards those who hold different opinions from oneself.

The correct answer is "imitated."

 Key Points

• "Imitated" means copied or replicated, which makes sense in the context of a song being composed by a choir for a special programme. (नकल किया गया या दोहराया गया)
• Example: The original world-making power, physis, degenerates into a prototype to be copied and imitated.
• The word is spelled correctly, unlike the other options, which are misspelled.
• The correct answer is Option 4.

Correct sentence: The song composed by the choir for the special programme was an imitated one.

 Additional Information

• Option 1, "imiteitted", is misspelled and not a real word.
• Option 2, "emittated", is misspelled and not a real word.
• Option 3, "eradicated", means to completely destroy or eliminate something, which doesn't make sense in the context of a song being composed. (किसी चीज़ को पूरी तरह से नष्ट या ख़त्म करना)

The correct answer is "Philolegy."

 Key Points

• The word "Philolegy" is incorrectly spelled.
• The correct spelling is "Philology," which refers to the branch of knowledge that deals with the structure, historical development, and relationships of a language or languages. (ज्ञान की वह शाखा जो किसी भाषा या भाषाओं की संरचना, ऐतिहासिक विकास और संबंधों से संबंधित है)
• Example: He was the first scholar to transfer the strict standards of philology to musicology.
• The correct answer is Option 3.

Additional Information

• Philosophy: the study of the fundamental nature of knowledge, reality, and existence. (जीवन के अर्थ एवं मतों से संबंधित विचारों का अध्ययन; दर्शन-शास्‍त्र)

• Philanthropy: the desire to promote the welfare of others, especially by donating money to good causes. (दान आदि के द्वारा ज़रूरतमंदों की सहायता; परोपकार, लोकोपकार)

• Philately: the collection and study of postage stamps. (डाक टिकट संग्रह एवं संकलन व उनका अध्ययन)

The correct answer is "grace."

 Key Points

• "Dignity" means calm, serious behaviour that makes other people respect you. (शांत और गंभीर आचरण)
• Example: We should behave with dignity.
• The synonym for "Dignity" is "Grace."
• "Grace" means dignity or honour. (गरिमा या सम्मान)
• Example: Joanna has natural grace and elegance.
• The sentence means that access to safe water, sanitation, and hygiene is essential for everyone's health, dignity, and courteous goodwill.
• The correct answer is option 3.

 Additional Information

• Option 1, enthusiasm, means intense and eager enjoyment or interest. (तीव्र और उत्सुक आनंद या रुचि)
• Option 2, immorality, means wickedness or evilness. (दुष्टता)
• Option 4, wealth, means a large amount of money or assets. (a large amount of money or assets)

Here, the erroneous part is "Were this boy."

 Key Points

• The error lies in the part "Were this boy."
• The error is in the subject-verb agreement.
• According to the subject-verb agreement, a singular subject always takes a singular verb, and a plural subject takes a plural verb.
• The sentence should begin with "Was" instead of "Were" as the subject is singular (boy).
• The correct answer is Option 3.

Correct sentence: Was this boy washing his clothes yesterday when the matron came for a regular round?

The correct answer is "did not call."

 Key Points

• The error lies in the uniformity of the tenses.
• The sentence is in the past tense, so the correct verb form is the past simple.
• "Had not call" is the present perfect tense.
• "Did not call" is the correct past simple form of "not call."
• The correct answer is Option 2.

Correct sentence: My parents did not call me yesterday.

The correct answer is "This phone is inferior to that one."

 Key Points

• "Inferior" is a comparative adjective, so it needs to be followed by "to" when comparing two things.
• "Than" is used to make comparisons with adjectives that are not comparative, such as "better" or "worse."
• "More inferior" is redundant because "inferior" already implies a lower quality.
• "Of" is not the correct preposition to use when making comparisons.
• We always use comparative adjectives (like inferior) with "than" or "to" to show comparison.
• Example: The performance of the new model is inferior to that of its predecessor in terms of speed and efficiency.
• The correct answer is Option 4.

The correct answer is "prefigure."

 Key Points

• "Predict" means to say that something will happen in the future. ((किसी बात की) भविष्‍यवाणी करना)
• Example: Scientists still cannot predict exactly when earthquakes will happen.
• "Prefigure" means to predict or foresee something. (किसी चीज़ की भविष्यवाणी या पूर्वानुमान करना)
• Example: The signs prefigure a storm approaching.
• "Prefigure" is a suitable replacement for "predict" in the given sentence.
• The correct answer is Option 3.

 Additional Information

• Deliberate means intentional or done on purpose. (निर्णय करने से पहले किसी बात को पूरी तरह सोचना-समझना, भलि-भाँति सोच��ा)
• Precipitate means to cause something to happen suddenly or unexpectedly. (किसी घटना को (विशेषतः प्रतिकूल घटना को) अचानक या समय से पूर्व घटित करना या होने देना)
• Proliferate means to increase rapidly in numbers or spread. (संख्‍या की दृष्टि से (किसी वस्‍तु की) तीव्रता से वृद्धि होना; प्रफलन होना)

The correct answer is "bibliophile."

 Key Points

• The word 'bibliophile' means a person who loves and collects books. (वह व्यक्ति जो पुस्तकों का सं���्रह करता हो या जिसे पुस्तकों से बहुत प्रेम हो)
• The root word 'biblio' means book, and 'phile' means lover of.
• It is a noun and can be used to describe someone's hobby or interest.
• Example: My friend is a bibliophile and has a huge collection of rare books.
• The correct answer is Option 3.

 Additional Information

• Option 1) anglophile means a person who loves or admires England or the English. (एक व्यक्ति जो इंग्लैंड या अंग्रेजी से प्यार करता है या उसकी प्रशंसा करता है)
• Option 2) recluse means a person who lives a solitary or secluded life. (वह व्यक्ति जो एकांत जीवन जीता है)
• Option 4) polyglot means a person who knows and speaks many languages. (एक व्यक्ति जो कई भाषाएँ जानता और बोलता है)

The correct answer is "Green-eyed."

 Key Points

• "Jealous" means feeling upset or angry because you think that somebody you like or love is showing interest in somebody else. (किसी प्रिय व्‍यक्ति का किसी अन्‍य व्‍यक्ति के प्रति झुकाव के कारण परेशान या क्रुद्घ; ईर्ष्यालु)
• Example: Tarun seems to get jealous whenever Sarita speaks to another boy!
• "Green-eyed" is an idiom that means being jealous or envious of someone. (किसी से ईर्ष्या या द्वेष करना)
• Example: I want to protect her from green-eyed people.
• This idiom comes from the idea that someone who is jealous has green eyes, which is not actually true.
• The sentence is saying that we need to protect ourselves from jealous people, so using the idiom "green-eyed" is appropriate.
• The correct answer is Option 4.