SSC CGL 2020 Tier-I Official Paper (Held On : 17 Aug 2021 Shift 1) (Previous Year Paper)

Given: 1008 : 8 :: ? : 6 :: 220 : 4

The logic followed here is:

1008 : 8 → (8 + 2)³ + 8 = 10³ + 8 = 1000 + 8 = 1008

220 : 4 → (4 + 2)³ + 4 = 6³ + 4 = 216 + 4 = 220

Similarly,

? : 6 → (6 + 2)³ + 6 = 8³ + 6 = 512 + 6 = 518

Hence, 518 is the correct answer.

From the given information,

P is the brother of Q. S is the father of P. R is the brother of S. Therefore the family tree is as follows:

And, if T is the mother of R, the final family tree is as follows:

Hence, P is the grandson of T.

Given: 'MARGIN' is written as 'SBNOJH.

The logic followed here is:

Similarly,

Hence, BSQSFZ is the correct answer.

By checking options:

(1) PUB

(2) TYE

(3) NSY

(4) LQW

Hence, PUB is the odd one.

Given: 

The logic followed here is: 

1. The top left corner symbol comes in the center, in each figure. So, in answer figure 

 should be in the center ⇒ option (4) eliminates. 2. The symbol in the center of the top line moves to the left corner of the figure in each step. So, in answer figure 

 should be in the top left corner ⇒ option (3) eliminates. 3. The symbol in the center of the figure comes in the bottom left corner in each step. So, in the answer figure

 should be in the bottom left corner ⇒ option (1) eliminates.

Thus, the final series is as follows,

Hence, option (2) is the correct answer.

The logic followed here is: 

Detailed Explanation:

• The line AB is the mirror
• The mirror image of 

 is 

⇒ Option 1 and 3 are eliminated.

• The mirror image of 

 is 

⇒ Option 2 is eliminated.

Hence, option (4) is the correct answer.

Given: (15, 315, 7)

The logic followed here is:

(15, 315, 7) → 15 × (7 × 3) = 15 × 21 = 315

Now, by checking options:

(1) (14, 197, 4) → 14 × (4 × 3) = 14 × 12 = 168 ≠ 197

(2) (11, 188, 6) → 11 × (6 × 3) = 11 × 18 = 198 ≠ 188

(3) (18, 486, 9) → 18 × (9 × 3) = 18 × 27 = 486

(4) (17, 401, 12) → 17 × (12 × 3) = 17 × 36 = 612 ≠ 401

Hence, (18, 486, 9) is the correct answer.

Given: (541, 14, 737)

The logic followed here is:

(541, 14, 737) → 737 - 541 = 196 → $\sqrt{196} = 14$

Now, by checking options:

(1) (832, 8, 895) → 895 - 832 = 63 → $\sqrt{63} \neq 8$

(2) (697, 13, 866) → 866 - 697 = 169 → $\sqrt{169} = 13$

(3) (635, 18, 924) → 924 - 635 = 289 → $\sqrt{289} = 17 \neq 18$

(4) (432, 25, 1108) → 1108 - 432 = 676 → $\sqrt{676} = 26 \neq 25$

Hence, (697, 13, 866) is the correct answer.

Given: 24, 48, 51, 204, 209, ?

The logic followed here is:

Hence, 1254 is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. Some copies are envelopes → True (as all envelopes are copies, implies some copies are envelopes)

II. Some postcards are copies → False (it is possible but not definite as shown in the above figure that no postcard is copy is possible)

III. Some cards are copies → True (as some cards are envelopes and, all envelopes are copies, implies some cards are copies)

Hence, only conclusion I and III follow.

Additional Information

Given: Cartridge : Printer :: Motherboard : ?

The logic followed here is:

Cartridge is the key component of Printer.

Similarly,

Motherboard is the key component of Central Processing Unit (CPU).

Hence, Central Processing Unit is the correct answer.

Given: 

Logic: If two dice have the same face value in the given image then their clockwise or anticlockwise wise rotation of the face are formed the opposite pair in dice.

While moving in clockwise direction from common face (F):

From the both dices:

 

Now, B is opposite to C, thus 'B' will be on the face opposite to the face showing the letter 'C'.

Hence, B is the correct answer.

Given: 1496 * 8 * 13 * 40 * 5 * 0

By substituting the signs option wise:

(1) ÷, −, +, ×, = 

→ 1496 ÷ 8 - 13 + 40 × 5 = 0

LHS = 1496 ÷ 8 - 13 + 40 × 5

= 187 - 13 + 40 × 5

= 187 - 13 + 200

= 387 - 13 

= 374 ≠ 0

LHS ≠ RHS

(2) ÷, +, =, −, × 

→ 1496 ÷ 8 + 13 = 40 - 5 × 0

LHS = 1496 ÷ 8 + 13

= 187 + 13 

= 200

RHS = 40 - 5 × 0

= 40 - 0

= 40

LHS ≠ RHS

(3) ÷, ×, =, +, − 

→ 1496 ÷ 8 × 13 = 40 + 5 - 0

LHS = 1496 ÷ 8 × 13

= 187 × 13

= 2431

RHS = 40 + 5 - 0

= 45 - 0

= 40

LHS ≠ RHS

(4) ÷, +, −, ×, = 

→ 1496 ÷ 8 + 13 - 40 × 5 = 0

LHS = 1496 ÷ 8 + 13 - 40 × 5

= 187 + 13 - 40 × 5

= 187 + 13 - 200

= 200 - 200

= 0

LHS = RHS

Hence, ÷, +, −, ×, = is the correct answer.

Number of triangles in the given figure are shown below:

Hence, the correct answer is "24".

Given: Brothers, Fathers, Tax-payers

The logic followed here is: some fathers are brothers, some brothers are tax-payers, and some tax-payers are fathers. A tax-payers can be a brother and father as well.

Hence, option (1) is the correct answer.

Given: 

The logic follow is: The above given image is hidden as follow:

Hence, option (3) is the correct answer.

Given: WUW, TSV, QQU, NOT, ?

The logic followed here is:

Hence, KMS is the correct answer.

Given: Rajesh purchased 6 mangoes, 3 bananas and 10 guavas in ₹136. If the ratio of the cost (per piece) of mangoes, bananas and guavas is 3 : 2 : 1.

Let:

The cost (per piece) of mangoes be 3x,

The cost (per piece) of bananas be 2x,

The cost (per piece) of guavas be x,

Then, according to the question,

6 (3x) + 3 (2x) + 10 (x)  = 136

18x + 6x + 10x = 136

34x = 136

x = 4

Then, the cost (per piece) of mangoes, banana, and guava is ₹12, ₹8, and ₹4 respectively.

Therefore, the cost of 1 mango, 2 bananas and 3 guavas = 12 × 1 + 8 × 2 + 4 × 3

= 12 + 16 + 12 

= ₹40

Hence, ₹40 is the correct answer.

The logic follows here is: by opening folds one by one,

Hence, option (2) is the correct answer.

Given: Cricket : Shikhar Dhawan

The logic followed here is:

Shikhar Dhawan is a Cricketer.

Similarly, 

Mary Kom is a Boxer.

Hence, Boxing : Mary Kom is the correct answer.

Important Points

Note:  This is SSC CGL official paper question and given answer as per the official answer key.

The pattern followed here is:

Step 1: Single digit positional value consonant × 2 = Number code.

Step 2: Sum of the double-digit positional value of consonant = Number code.

Step 3: Vowels coded as their vowel order.

Step 4: In the last all numbers are arranged in reverse order.

REASON is coded as 5410129.

HEALTHY is coded as 716231216.

 

Similarly, 

DIVULGE = ?

Hence, the correct answer is "21435438".

By checking options:

All contention, agitation, and turmoil are synonyms.

Whereas, 

Tranquility is the antonym.

Hence, tranquility is the odd one.

Important Points

(1) Contention → heated disagreement.

(2) Agitation → a state of anxiety or nervous excitement.

(3) Turmoil → a state of great disturbance, confusion, or uncertainty.

(4) Tranquility → the quality or state of being tranquil; calm.

By checking options:

(1) 461 : 20 → 20² + 3 × 20 + 1 = 400 + 60  +1 = 461

(2) 182 : 12 → 12² + 3 × 12 + 1 = 144 + 36 + 1 = 181 ≠ 182

(3) 305 : 16 → 16² + 3 × 16 + 1 = 256 + 48 + 1 = 305

(4) 239 : 14 → 14² + 3 × 14 + 1 = 196 + 42 + 1 = 239

Hence, 182 : 12 is the odd one.

Given: P, N, J, H, ?

The logic followed here is:

Hence, D is the correct answer.

Arranging all the words as per their order in the dictionary:

3. Interaction
4. Interjection
5. Internship
6. Interruption
7. Intervene
8. Introduce

Hence, 3, 4, 2, 6, 5, 1 is the correct order.

The correct answer is Manmohan Singh.

Key Points

• "The Quest for Equity in Development" is a book written by Dr Manmohan Singh.

Additional Information

• Dr Manmohan Singh served as the 13^th Prime Minister of India from 2004 to 2014.
• Other notable books written by him are:
• Leverage: A Broader View
• Changing India
• Collateral and Financial Plumbing
• Financial Plumbing and Monetary Policy

The correct answer is 1999.

Key Points

• Shri Atal Bihari Vajpayee undertook a bus journey to Lahore to sign a Peace Declaration with Pakistan in 1999.
• He reached Lahore on 19^th February 1999.

Additional Information

• Atal Bihari Vajpayee: 
• He was a prominent Indian politician and statesman.
• He belongs to the Bharatiya Janata Party (BJP).
• He was the first prime minister of India who does not belong to the Congress party and had served the full term in office.
• He was among the founding members of the Bharatiya Jana Sangh.
• In 2015, He received the Bharat Ratna.

The correct answer is Sher Shah Suri.

Key Points

• Akbar followed the administration model of Sher Shah Suri.

Additional Information

• Sher Shah Suri was the founder of the Suri Empire in India.
• He introduced the currency of the Rupee.
• Sher Shah of Sur took control of the Mughal Empire in 1540.
• His reorganization of the empire laid the foundations for the later Mughal emperors, notably Akbar, son of Humayun.
• Sher Shah Suri's administration:
• He organized an excellent administrative system.
• The king was aided by four important ministers.
• Diwan –i- Wizarat or Wazir – in charge of Revenue and Finance
• Diwan-i-Ariz – in charge of Army
• Diwan-i-Rasalat – Foreign Minister
• Diwan-i-Insha – Minister for Communications

Important Points 

• Akbar (1542- 1605)
• He reigned from 1556 to 1605.
• He defeated Hemu at the second battle of Panipat in 1556.
• He constructed Fatehpur Sikri and made it his capital in 1569.
• He started a new religion Din-i Ilahi in 1582.
• Abul Fazl wrote his biography titled Akbarnama.
• Nine of his courtiers were known as Navratnas.
• They were Todar Mal, Abul Fazal, Faizi, Birbal, Tansen, Abdur Rahim Khana-i-Khana, Mullah-do-Pyaza, Raja Man Singh, and Fakir Aziao-Din.
• He married a Hindu princess Harka Bai who was commonly known as Jodha Bhai
• Akbar captured the historic fortress of Chitor in 1568.
• He abolished the pilgrimage tax by Hindus in 1563.
• He abolished the Jizyah tax in 1564.
• He also introduced the Mansabdari System or the rank-holder system to organize the nobility and army.

The correct answer is Chuni Goswami and PK Banerjee.

Key Points

• Subimal (Chuni) Goswami captained India to Asian Games gold in 1962.
• He passed away in April 2020.
• He played for the celebrated club.
• He played a prime role in seeing India do well in prominent international events like Asian Cup and Merdeka Cup.
• Pradip Kumar Banerjee was an Indian professional footballer who played as a striker for the Indian national football team.
• PK Banerjee played in Eastern Railways throughout his career but played for Mohun Bagan on loan during a foreign tour.
• He represented India in three Asian Games namely, the 1958 Asian Games in Tokyo, the 1962 Asian Games in Jakarta

The correct answer is Work.

Key Points

• Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
• For work to be done, in a scientific sense, a force must be exerted and there must be displacement in the direction of the force.
• Mathematically it is represented
• The SI unit of work is the joule (J), which is defined as the work done by a force of 1 Newton in moving an object through a distance of 1 meter in the direction of the force.

 Additional Information

• Momentum is a measurement of mass in motion i.e. how much mass is in how much motion.
• Momentum = Mass x Velocity.
• Impulse is a term that quantifies the overall effect of a force acting over time.
• It is conventionally given the symbol J and expressed in Newton-seconds.
• Power is the rate at which work is done.
• The SI unit of power is Watt (W)
• Power = Work / time

The correct answer is Helium.

Key Points

• Helium is the second lightest atom.
• One nucleus of a Helium atom consists of two protons and two neutrons.
• Helium atoms do not combine into molecules.
• That is why it is called an inert gas, which consists of free atoms.

​

Important Points

• Gases that trap heat in the atmosphere are called greenhouse gases. 
• Some atmospheric gases absorb and re-emit infrared energy from the atmosphere down to the Earth’s surface.
• This process is called the greenhouse effect.
• The Earth has a natural greenhouse effect due to trace amounts of water vapour (H₂O), carbon dioxide (CO₂), methane (CH₄), and nitrous oxide (N₂O) in the atmosphere.
• The natural greenhouse effect is caused by the natural amounts of greenhouse gases and is vital to life.
• In the absence of the natural greenhouse effect, the surface of the Earth would be approximately 33 °C cooler.
• The main gases responsible for the greenhouse effect include carbon dioxide, methane, nitrous oxide.

The correct answer is Premchand.

Key Points

• Dhanpat Rai Srivastava is better known as Munshi Premchand.
• He is an Indian author of novels and short stories in Hindi and Urdu who pioneered in adapting Indian themes to Western literary styles.
• He began his career under the pen name "Nawab Rai"(Later switched to Munshi Premchand).
• He was influenced by the teachings of Swami Vivekananda.
• He was elected as the first President of the Progressive Writers' Association in Lucknow, in 1936.
• Notable works: Godaan, Karmabhoomi, Gaban, Mansarovar, Idgah.

Additional Information

• Ramdhari Singh was famously known as Dinkar.
• He was an Indian Hindi poet, essayist, patriot, and academic.
• He has been hailed as a Rashtrakavi ('national poet') on account of his inspiring patriotic compositions.
• His works are mostly of Veer Rasa, or the 'brave mode', although Urvashi is an exception to this.
• Some of his greatest works are Rashmirathi and Parashuram ki Prateeksha.
• Suryakant Tripathi is famously known as Nirala.
• He was an Indian poet, novelist, essayist, and story-writer who wrote in Hindi.
• Sachchidananda Hirananda Vatsyayan is popularly known as Agyeya.
• He was an Indian writer, poet, novelist, literary critic, journalist, translator, and revolutionary in the Hindi language.

The correct answer is Arunachal Pradesh.

Key Points

• Arunachal Pradesh was known as the North-East Frontier Agency (NEFA) during British India and the Republic of India until 1972.
• Arunachal Pradesh was initially a Union Territory that was carved out of Assam.
• On 15th August 1947 when India became an independent nation, North East Frontier Agency commonly known as NEFA became an integral part of the Union of India.
• It was administrated by the Ministry of External Affairs with the Governor of Assam acting as an agent to the President of India.
• The language ‘Idu Mishmi’ is spoken in the state of Arunachal Pradesh.
• The capital of Arunachal Pradesh is Itanagar.
• State bird: Great hornbill.
• State flower:  Fox-tail Orchid
• State tree: Hollong.
• State animal: Mithun (also known as Gayal).

The correct answer is Goa.

 Important Points 

• The Hero Indian Super League (ISL) is India’s unrivaled football championship which kicked off on October 12, 2014.
• The inaugural winners of the league were ATK FC.
• The league is co-promoted by Reliance, Star India, and supported by the All India Football Federation (AIFF).
• Its mission is to provide an entertaining and high-quality football league.
• The 2020–21 Indian Super League season was the seventh season of the Indian Super League (ISL).
• The season started on 20 November 2020 and ended on 13 March 2021.

The correct answer is G Kishan Reddy.

Key Points

• The Centre has decided to form a committee to protect the language, culture, and land of Ladakh and ensure citizens' participation in the Union Territory's development.
• The Committee will be headed by the Minister of State for Home G Kishan Reddy.
• It will include elected representatives from Ladakh, Ladakh Autonomous Hill Development Council, central government, and the Ladakh administration.
• This committee will also ensure citizens’ participation in the development of the Union Territory.
• The decision of forming the committee has been taken by the government in light of the need for the protection of Ladakh’s unique cultural identity.

The correct answer is Odisha.

Key Points

• Bhitarkanika National Park is situated in the Kendrapara district of Odisha.
• It is the 2nd largest Mangrove ecosystem of India after the Sundarbans.
• Bhitarkanika National Park is also popular as Mini Amazon of India.
• The mangrove forest is made by two river deltas of River Brahmani and Baitarani.
• The park alone is accountable for about 70 percent of India’s saltwater crocodile population.

Additional Information

• Other National parks and wildlife sanctuaries in Odisha:
• Simlipal National Park
• Badrama  Wildlife Sanctuary
• Bhitarkanika  Wildlife Sanctuary
• Chilika (Nalaban)  Wildlife Sanctuary
• Gahirmatha (Marine)  Wildlife Sanctuary
• Satkosia Gorge  Wildlife Sanctuary

The correct answer is Totipotency.

Key Points

• Totipotency in this strict sense is demonstrated by the ability of an isolated cell to produce a fertile, adult individual.
• Consequently, a totipotent cell is also a one-cell embryo; that is, a cell that is capable of generating a globally coordinated developmental sequence.
• Totipotent cells can give rise to the whole organism as well as extraembryonic tissues such as the placenta.
• Spores and zygotes are examples of totipotent cells.

Additional Information

• Pluripotency describes the ability of a cell to develop into the three primary germ cell layers of the early embryo and therefore into all cells of the adult body, but not extra-embryonic tissues such as the placenta. 
• Pluripotent cells can give rise to the whole organism but not the extraembryonic tissue.
• Examples of pluripotent cells are stem cells in animals and meristematic cells in higher plants.
• A Mutation occurs when a DNA gene is damaged or changed in such a way as to alter the genetic message carried by that gene.
• A Mutagen is an agent of substance that can bring about a permanent alteration to the physical composition of a DNA gene such that the genetic message is changed.
• Once the gene has been damaged or changed the mRNA transcribed from that gene will now carry an altered message.
• Cloning is the process of generating a genetically identical copy of a cell or an organism.

The correct answer is ​Article 343 (1).

Key Points

• Article 343 in Part XVII of the Indian constitution deals with the language of the Union.
• As per Article 343 (1) The official language of the Union shall be Hindi in Devanagari script.
• Article 343(2) provided that English shall also be continued to be used in the official work of the Union for 15 years from the date of commencement of the constitution, i.e., up to the 25th of January 1965.
• Article 343(3) made provisions for the continuation of English even after 25th January 1965 by empowering the parliament to make laws to that effect.

Additional Information

• Article 123 of the Constitution grants the President certain law-making powers to promulgate ordinances during the recess of Parliament.
• These ordinances have the same force and effect as an Act of Parliament but are like temporary laws.
• Likewise, the Governor of a state can issue ordinances under Article 213 of the Constitution, when the state legislative assembly (or either of the two Houses in states with bicameral legislatures) is not in session.
• Article 231 provides for the establishment of a common high court for two or more states or two more states or union territories.

Important Points 

• The Eighth Schedule to the Constitution of India lists the official languages of the Republic of India:
• Initially, there were 14 languages placed under official languages are as follows:
• Assamese
• Hindi
• Malayalam
• Punjabi
• Telugu
• Bengali
• Kannada
• Marathi
• Sanskrit
• Urdu
• Gujarati
• Kashmiri
• Odia
• Tamil.
• In later, Sindi was added as the 15th language through the 21st amendment act of 1967.
• Konkani, Manipuri, Nepali were added through the 71st amendment act 1992.
• Bodo, Maithili, Dogri, Santhali were added through the 92nd amendment act 2003.
• At present, there are 22 languages in total placed in the eighth schedule of the Indian constitution.

The correct answer is 1876.

Key Points

• The Indian Association was established in British India in the year 1876 as the first avowed nationalist organization.
• The association was founded in Bengal by Surendranath Banerjee and Ananda Mohan Bose.
• The association was supported mainly by younger professional men among the Bengali intelligentsia.
• The association found an issue in opposing the lowering of the age limit for civil service examinations (1877).
• In 1878 it objected to the Vernacular Press Act, which stifled the Indian press.
• It advocated local self-government and tenant rights.

The correct answer is Siddhi.

Key Points

• According to Vedic philosophy human life has a definite purpose.
• Whilst the final Goal of life is "Moksha", there are three other (intermediary) goals of life.
• These together are called four objectives or pursuits of life.
• These objectives are:
• Dharma - Righteousness
• Artha - Acquisition of wealth by proper means and its right use
• Kama - Fulfillment of noble desires
• Moksha- Liberation or the final Goal
• Dharma is the first and foremost objective or pursuit of life.
• In essence, Dharma means that which is worthy of being upheld or being practised.
• Dharma is a comprehensive term that covers an entire range of values.
• Artha or the acquisition of wealth is the second most important pursuit or objective of human life after Dharma.
• Artha has to be based on Dharma.
• The third pursuit of Life is Kama - the desire for the satisfaction of sensual urges in which sexual gratification occupies the prime position.
• On a wider scale, it includes fulfilment of other material desires also.
• Moksha is the fourth and final objective of human life.
• It is the state of liberation from misery and pain which are so abundant in human life.
• It is the state of Ananda (perfect bliss) after attaining which nothing more remains to be attained.

The correct answer is Sodium.

Key Points

• The solubility is the ability of a compound, it may be a liquid, solid or gaseous substance to dissolve in the solvent and there is a formation of a solution.
• The solubility is mainly dependent upon the solvent, hydration energy, lattice energy, temperature, and pressure.
• The solubility of a compound mainly depends upon the hydration energy and lattice energy.
• If the hydration energy of the compound is greater than lattice energy, the solubility is more.
• Hydration energy (also hydration enthalpy) is the amount of energy released when one mole of ions undergo hydration.
• Lattice energy is defined as the amount of energy required to completely separate one mole of a solid ionic compound into a gaseous constituent.
• The hydration energy of sodium is greater than its lattice energy.
• And the size of sodium ions is smaller than potassium and other ions.
• Therefore, the sodium ion can easily create a hydration sphere around the ion than other ions.
• The sodium atom readily reacts with water and it dissolves in it.

The correct answer is Income.

Key Points

• The income amount is the amount of monetary or other returns, either earned or unearned, accruing over a period of time.
• Income is money that a person or a business receives in return for working, providing a product or service, or investing capital.
• A person's income may also derive from a pension, a government benefit, or a gift.

Additional Information

• Price is the amount of money that has to be paid to acquire a given product.
• Insofar as the amount people are prepared to pay for a product represents its value, price is also a measure of value.
• So long as they are not artificially controlled, prices provide an economic mechanism by which goods and services are distributed among the large number of people desiring them.
• Value is the monetary, material, or assessed worth of an asset, good, or service. 
• The process of calculating and assigning a value to a company or an asset is called valuation.
• Services are the non-physical, intangible parts of our economy, as opposed to goods, which we can touch or handle.
• Services, such as banking, education, medical treatment, and transportation make up the majority of the economies of rich nations.

The correct answer is the State Bank of India (SBI).

Key Points

• Some banks, due to their size, cross-jurisdictional activities, complexity, lack of substitutability and interconnectedness, become systemically important.
• SIBs are perceived as banks that are ‘Too Big To Fail (TBTF)’.
• This perception of TBTF creates an expectation of government support for these banks at the time of distress.
• SIBs are subjected to additional policy measures to deal with the systemic risks and moral hazard issues posed by them.
• The Financial Stability Board (FSB), in consultation with the Basel Committee on Banking Supervision (BCBS) and national authorities, has identified Global Systemically Important Banks (G-SIBs) since 2011.
• Financial Stability Board (FSB) is an international body that monitors and makes recommendations about the global financial system. It was established in 2009. India is a member.
• The BCBS finalized its framework for dealing with 'Domestic Systemically Important Banks (D-SIBs) in October 2012.
• The D-SIB framework focuses on the impact that the distress or failure of banks will have on the domestic economy.
• As opposed to the G-SIB framework, the D-SIB framework is based on the assessment conducted by the national authorities, who are best placed to evaluate the impact of failure on the local financial system and the local economy.
• The RBI had issued the framework for dealing with D-SIB in 2014.
• The D-SIB framework requires the Reserve Bank to disclose the names of banks designated as D-SIBs starting from 2015 and place these banks in appropriate buckets depending upon their Systemic Importance Scores (SISs).
• SBI, ICICI Bank, and HDFC Bank continue to be identified as Domestic Systemically Important Banks (D-SIBs), under the same bucketing structure as in the 2018 list of D-SIBs.

The correct answer is Kanada.

Key Points

• Vaisheshika is one of the six systems (darshans) of Indian philosophy, significant for its naturalism, a feature that is not characteristic of most Indian thought.
• The Sanskrit philosopher Kanada Kashyapa (2nd–3rd century CE) expounded its theories and is credited with founding the school.
• Important later commentaries were written by Prashastapada, Udayanacharya, and Shridhara.
• After a period of independence, the Vaisheshika school fused entirely with the Nyaya school, a process that was completed in the 11th century.
• Thereafter the combined school was referred to as Nyaya-Vaisheshika.
• The Vaisheshika school attempts to identify, inventory, and classify the entities and their relations that present themselves to human perceptions.
• The Vaisheshika system holds that the smallest, indivisible, indestructible part of the world is an atom (Anu).
• All physical things are a combination of the atoms of earth, water, fire, and air.
• Inactive and motionless in themselves, the atoms are put into motion by God’s will, through the unseen forces of moral merit and demerit.

Additional Information

• Jaimini was an ancient Indian scholar who founded the Mīmāṃsā school of Hindu philosophy.
• He rendered Mimamsa Sutras and Jaimini Sutras.
• Patanjali is also called Gonardiya, or Gonikaputra.
• He flourished 2nd century BCE or 5th century CE.
• He is the author or one of the authors of two great Hindu classics: the first, Yoga-sutras, a categorization of Yogic thought arranged in four volumes and the second, the Mahabhashya
• Adi Shankaracharya was an Indian philosopher and theologian whose works had a strong impact on the doctrine of Advaita Vedanta.

The correct answer is Termite.

Key Points

• Termite is another name for White ant.
• Termite (order Isoptera) is any of a group of cellulose-eating insects.
• Even though termites are not closely related to ants, they are sometimes referred to as white ants.
• Phylogenetic studies have shown that the closest relative to the termite is the cockroach.

Additional Information

• Wasp is any member of a group of insects in the order Hymenoptera, suborder Apocrita, some of which are stinging.
• Wasps also generally are predatory or parasitic and have stingers with few barbs that can be removed easily from their victims.
• Housefly (Musca domestica) is a common insect of the family Muscidae (order Diptera).
• About 90 per cent of all flies occurring in human habitations are houseflies.

The correct answer is Himachal Pradesh.

Key Points

• Prime Minister Narendra Modi inaugurated the Atal Tunnel, Rohtang in Himachal Pradesh on 3rd October 2020.
• Atal Tunnel is the longest highway tunnel in the World.
• The 9.02 Km long tunnel connects Manali to Lahaul-Spiti valley throughout the year.
• It is a horseshoe-shaped, single tube double lane tunnel with a roadway of 8 Mtrs.
• It has an overhead clearance of 5.525 Mtrs.
• The Tunnel has ample safety features built into it.

Important Points

• Important railway tunnel:
• The longest railway tunnel in the world is the Gotthard base tunnel in Switzerland.
• Seikan Tunnel is 53 Km long and situated in Japan.
• Yulhyeon Tunnel is 50 Km long and situated in South Korea.
• Channel Tunnel is situated on the English Channel on Dover strait.

The correct answer is Vardhana.

Key Points

• Pushyabhuti was the founder of the Vardhana dynasty.
• In his legendary account ‘Harshacharita’, Banabhatta gives an account of the origin of the Vardhan Dynasty.
• Prabhakar Vardhana was the first notable king of the Vardhana Dynasty.
• But he was not the founder of the Vardhana Dynasty.
• Harshavardhana was the most important king of the Vardhana Dynasty.
• He ruled north India from 606 tO 647 CE.
• Harshavardhana was a gifted warrior.
• He was an able administrator and poet.
• Hyun Tsang has praised Harsha a lot by saying that he was a laborious king.

Additional Information

• Chalukya dynasty:
• Pulakesin I was the founder of the Chalukya Dynasty.
• He established its capital at Badami (vatapi).
• Kirtivarman I was the son of Pulakesin I.
• Vijayaditya was the longest-serving king of the Chalukya Dynasty.
• Pulakesin II defeated the Mahendravarman I of the Pallava dynasty.
• The last king of the Chalukya Dynasty, Kirtivarman II was defeated by Dantidurga.
• The founder of the Chera dynasty was Uthiyan Cheral Athan.

The correct answer is Qatar.

Key Points

• FIFA world cup 2022 will be hosted by Qatar.
• There will be 32 teams that will be participating in the event.
• It is the first FIFA event to be hosted in the Arab world.

Additional Information

• FIFA World Cup
• It is an international football competition held every four years.
• It was started in 1904.
• President: Gianni Infantino.
• FIFA Headquarters: Zurich, Switzerland.

The correct answer is Carbon.

Key Points

• The outermost surface of the Earth is called the lithosphere, or crust.
• This rigid layer contains both the oceans and landmasses.
• Most elements are found in only trace amounts within the earth’s crust, but several are abundant.
• About 98% of the total crust is made up of eight elements as oxygen, silicon, aluminum, iron, calcium, sodium, potassium, and magnesium.
• The rest 2% is constituted by elements like titanium, hydrogen, phosphorous, manganese, sulphur, carbon, nickel, and others.
• The elements in the earth’s crust are rarely found exclusive but are usually combined with other elements to make various substances.
• Oxygen is by far the most abundant element in earth's crust at 46.6 percent, nearly half of the mass of the crust.

The correct answer is Jay Shah.

Key Points

• Jay Shah was elected as the President of the Asian Cricket Council (ACC) in January 2021.
• He will take over the reins from Mr. Nazmul Hassan, President, Bangladesh Cricket Board.

Important Points 

• The Asian Cricket Council was formed in New Delhi on 19th September 1983, as the Asian Cricket Conference.
• The aims and objectives as stated in the original constitution were "organizing, developing and promoting the game of cricket in Asia."
• The founding members of the ACC were Bangladesh, India, Malaysia, Pakistan, Singapore, and Sri Lanka.
• Membership subsequently increased first with Hong Kong, then the UAE, followed by Nepal in 1990.
• China is the most recent member, joining the ACC in 2004.
• In 1993 the Asian Cricket Conference became the Asian Cricket Council.
• There are two categories of membership at ACC - full and associate - with the test playing countries and ICC associate countries (Hong Kong, Kuwait, Malaysia, Nepal, Singapore, Thailand, UAE) being accorded full membership status with the rest of the member countries as ACC associates.​

Given:

The total sum of money = Rs. 31866

Ratio of A and B = 9 : 8

Ratio of A and C = 4 : 5

Calculation:

Let the total sum be x

Simplifying the ratios to get the same unit by cross multiplication

Ratio of A and B = (9 : 8) × 4

⇒ 36 : 32

Ratio of A and C = (4 : 5) × 9

⇒ 36 : 45

Ratio of A, B and C = 36 : 32 : 45

Total sum = Rs. (36x + 32x + 45x)

⇒ 113x = 31866

⇒ x = 282

The share of B = 32x = (32 × 282)

⇒ 9024

∴ The share of B is 9024

Given:

Time taken by A = 8 hours more than B

Distance = 160 km

A doubles the speed, he takes 3 hours more than B

Formula used:

Speed = Distance/Time

Calculation:

Let the speed be S_A and S_B

According to the question

⇒ 160/S_A – 160/S_B = 8......(1)

⇒ 160/2S_A – 160/S_B = 3 

⇒ 80/S_A – 160/S_B = 3 ....(2)

Multiplying equation (1) by 1/2 we get,

⇒ 80/S_A – 80/S_B = 4 .....(3)

Now,

Substituting equation (2) and (3) we get,

⇒ 80/SA – 160/SB = 3 and 80/SA – 80/SB = 4

⇒ 160/S_B – 80/S_B = 4 – 3

⇒  80/S_B = 1

⇒ S_B = 80 km/h

∴ The speed of B is 80 km/h

Given:

$(√{\sec^2 θ + \ cosec^2 θ)} \left( \frac{\sin θ ( 1+ \cos θ)}{1 + \cos θ - \sin^2 θ} \right)$

Formula used:

Sec²θ = 1/cos²θ 

Cosec²θ = 1/sin²θ 

Sin²θ = 1 - cos²θ 

Calculation:

$(√{\sec^2 θ + \ cosec^2 θ)} \left( \frac{\sin θ ( 1+ \cos θ)}{1 + \cos θ - \sin^2 θ} \right)$

⇒ (√1/cos²θ + 1/sin²θ) [sinθ(1 + cosθ)/(1 + cosθ – 1 + cos²θ)]

⇒ (√sin²θ + cos²θ)/cos²θ. sin²θ) [sinθ(1 + cosθ)/(cosθ(1 + cosθ)]

⇒ (1/sinθ. cosθ)/(sinθ/cosθ)

⇒ 1/cosθ × 1/cosθ 

⇒ 1/cos²θ 

⇒ sec²θ 

∴ The required value is sec²θ

Given:

The selling price of an article = Rs. 640

Loss = 15% of SP

Gain = 15% of CP

Formula used:

Gain% = (SP – CP)/CP × 100

Loss% = (CP – SP)/CP × 100

Calculation:

The SP of an article is Rs. 640

According to the question

CP = 640 × 15/100 + 640 = Rs. 736

Gain% = 15% = (SP – 736)/736

⇒ 736 + 0.15 × 736

⇒ 736 + 110.4

⇒ 846.40

∴ New selling price of an article is Rs. 846.40

Given:

The curved surface area of cylinder = 462 cm²

Base area of cylinder = 346.5 cm²

Formula used:

Base area of cylinder = πr²

Curved surface area of cylinder = 2πrh

Volume of cylinder = πr²h

Calculation:

Base area of cylinder = πr²

⇒ πr² = 346.5 cm²

⇒ 22/7 × r² = 346.5 cm²

⇒ r² = 110.25 cm²

⇒ r = 10.5 cm

Now,

Curved surface area of cylinder = 2πrh

⇒ 2πrh = 462 cm²

⇒ 2 × 22/7 × 10.5 × h = 462 cm²

⇒ 462h/7 = 462 

⇒ h = 7 cm

Now,

Volume of cylinder = πr²h

⇒ 22/7 × 10.5 × 10.5 × 7 cm³

⇒ 16978.5/7 cm³

⇒ 2425.5 cm3

∴ Volume of cylinder is 2425.5

Given:

 $\frac{3}{4} \cot^2 30 ^\circ + \cos^2 30 ^\circ - 3 cosec^2 60^\circ + \tan^2 60^\circ$ = ?

Formula used:

Cot 30° = √3

Cos 30° = √3/2

Cosec 60° = 2/√3

Tan 60° = √3

Calculation:

 $\frac{3}{4} \cot^2 30 ^\circ + \cos^2 30 ^\circ - 3 cosec^2 60^\circ + \tan^2 60^\circ$ 

⇒ 3/4 × (√3)² + (√3/2)² – 3 × (2/√3)² + (√3)²

⇒ 3/4 × 3 + 3/4 – 3 × 4/3 + 3

⇒ 9/4 + 3/4 – 4 + 3

⇒ 12/4 – 4 + 3

⇒ 3 – 4 + 3

⇒ 2

So, the required value is 2

Given:

x + y + z = 7

x2 + y2 + z2 = 85

x3 + y3 + z3 = 913

Formula used:

x³ + y³ + z³ – 3xyz = (x + y + z) (x² + y² + z² – (xy + yz + zx)) .....(1)

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) ....(2)

Calculation:

⇒ 7² = 85 + 2(xy + yz + zx)

⇒ 49 – 85 =  2(xy + yz + zx)

⇒ -36 =  2(xy + yz + zx)

⇒ (xy + yz + zx) = -36/2

⇒ (xy + yz + zx) =-18

⇒ 913 – 3xyz = 7(85 + 18)

⇒ 913 – 7 × 103 = 3xyz

⇒ 913 – 721 = 3xyz

⇒ 192 = 3xyz

⇒ 64 = xyz

⇒ (4)³ = $\rm \sqrt[3]{xyz}$

∴ The value of $\rm \sqrt[3]{xyz}$ is 4

Given:

AB = 5 cm

BC = 6 cm

CA = 7 cm

Calculation:

Let R is the point where BC touches the circle.

BP = BR (lengths of tangents drawn from an external point to a circle are equal)

Similarly,

CR = CQ

AP = AQ

Now,

⇒ 2AQ = AP + AQ

⇒ 2AQ = AB + BP + AC + CQ = AB + AC + (BP + CQ)

⇒ 2AQ = AB + BP + AC + CQ = AB + AC + (BR + CR)

⇒ 2AQ = (5 + 6 + 7) = 18

⇒ AQ = 9 cm

Alternate Method

Formula used:

AQ = 1/2(Perimeter of ΔABC)

Calculation:

According to the question

AQ = 1/2(Perimeter of ΔABC)

⇒ AQ = 1/2 × (5 + 6 + 7)

⇒ 1/2 × 18 cm

⇒ 9 cm

∴ The length of AQ is 9 cm

Given:

BE = 4 cm

EF = 6 cm

Calculation:

In ΔBED and ΔBFA

BE/BF = ED/FA = BD/BA

In ΔBFD and ΔBCA

BF/BC = FD/CA = BD/BA

Now,

BE/BF = BF/BC 

⇒ BF² = BE × BC

⇒ (BE + EF)² = BE × BC

⇒ (4 + 6)² = 4 × BC

⇒ (10)² = 4BC

⇒ 100 = 4BC

⇒ BC = 25 cm

∴ The value of BC is 25

Calculation:

The total number of students enrolled for VC in institutes A, C and E in 2015 = (150 + 220 + 200)

⇒ 570

The total number of students enrolled foe VC in institutes B and D in 2017 = (200 + 180)

⇒ 380

Required ratio = (570 : 380)

⇒ 3 : 2

∴ Required ratio is 3 : 2

Shortcut Trick

Since DE ∥ BC, ΔADE is similar to ΔABC.

Ratio of areas = (Ratio of corresponding sides)²

Area(ΔADE) : Area(ΔABC) = (DE)² : (BC)² = 5² : 8² = 25 : 64

25 units = 45 cm² ⇒ 1 unit = 1.8 cm²

64 units = 64 × 1.8 = 115.2 cm²

∴ The correct answer is 115.2 cm².

Alternate Method

Given: BC = 8 cm, DE = 5 cm, Area of ΔADE = 45 cm²

Formula: For similar triangles, Area₁ / Area₂ = (Side₁ / Side₂)²

⇒ In ΔABC, DE ∥ BC, ∴ ΔADE ∼ ΔABC (by AA similarity)

⇒ Area(ΔADE) / Area(ΔABC) = (DE / BC)²

⇒ 45 / Area(ΔABC) = (5 / 8)²

⇒ 45 / Area(ΔABC) = 25 / 64

⇒ Area(ΔABC) = (45 × 64) / 25

⇒ Area(ΔABC) = (9 × 64) / 5

⇒ Area(ΔABC) = 576 / 5 = 115.2 cm²

∴ The correct answer is 115.2 cm².

Additional Information

Similar Triangles Property

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides, altitudes, medians, or perimeters.

Basic Proportionality Theorem (BPT)

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio (AD/DB = AE/EC).

AA Similarity Criterion

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Calculation:

Number less than 200 = 12

Number less than 250 = 26

Number less than between 250 and 200 = (26 – 12)

⇒ 14

Again,

Number less than 250 = 26

Number less than 300 = 34

Number less than between 300 and 250 = (34 – 26)

⇒ 8

Persons earn Rs. 200 or more but less than Rs. 300 = (14 + 8)

⇒ 22

∴ Required persons is 22

Given:

The average of 8 consecutive even numbers in ascending order = 17

Formula used:

Sum of the observations/Number of observations

Calculation:

Let the 8 consecutive even numbers be (2a – 6), (2a – 4), (2a – 2), 2a, (2a +2), (2a + 4), (2a + 6) and (2a + 8)

Sum of 8 consecutive even numbers = (2a – 6) + (2a – 4) + (2a – 2) + 2a, (2a +2) + (2a + 4) + (2a + 6) + (2a + 8)

⇒ 16a + (-12 +20)

⇒ 16a + 8

Average sum of 8 consecutive even numbers = (16a + 8)/8 = 17

⇒ 8(2a + 1)/8 = 17

⇒ 2a + 1 = 17

⇒ 2a = (17 – 1)

⇒ 2a = 16

Now, putting the value in last three three numbers

⇒ (2a + 4) = (16 + 4) = 20

⇒ (2a + 6) = (16 + 6) = 22

⇒ (2a + 8) = (16 + 8) = 24

Again,

Sum of last three numbers, 36 and 53 = (20 + 22 + 24 + 36 + 53)

⇒ 155

Average of sum of last three numbers, 36 and 53 = (155/5)

⇒ 31

∴ The average of the last three numbers, 36 and 53 is 31

Shortcut Trick

Concept Used:

Average consecutive even,

If the number of terms is Odd then,

Average will be the middle term of it.

If the number of terms is Even then, 

Average will be the average of the middle pair.

Calculation:

According to the question, 

There are 8 consecutive even numbers, which have 17 as average. 

Hence the average of the middle pair is 17, 

Sum of middle pair = 17 × 2 = 34

Now the pair will be, 

16 + 18 = 34 (consecutive pair)

As there are 8 numbers and we have middle pair, 

Then all 8 numbers will be, 

10, 12, 14, 16, 18, 20, 22, 24, 

Average of last 3 and 36 & 53

⇒ (20 + 22 + 24 + 36 + 53)/5 = 155/5 = 31 

∴ The average of the last three numbers, 36 and 53 is 31

Given:

(54√2 x3 + 24√3 y3) ÷ (√18 x + √12 y) = Ax2 + By2 + Cxy

Formula used:

a³ + b³ = (a + b)(a² + b² – ab)

Calculation:

(54√2 x3 + 24√3 y3)/(√18 x + √12 y)

⇒ (54√2 x3 + 24√3 y³)/(3√2x + 2√3y)

⇒ 18x² + 12y² – 6√6 = Ax2 + By2 + Cxy

where A = (18), B = (12) and C = (-6√6)

Now,

The value of  A2 – (B2 + C2) = (18)² – (12)² + (6√6)²

⇒ 324 – (144 + 216)

⇒ 324 – 360

⇒ -36

∴ Required value is -36

Given:

The marked price of an article = Rs. 1500

Discount = 20%

CP = Rs. 991

Formula used:

SP = MP × (100 – discount%)/100

Profit = SP – CP

Calculation:

According to the question

SP = 1500 – (100 – 20)/100

⇒ (1500 – 80/100)

⇒ SP = Rs. 1200

Now,

Profit = 1200 – 991

⇒ 209

∴ His profit is 209

Calculation:

The total number of students enrolled for VC in institutes B, C and E in 2015 = (180 + 220 + 200)

⇒ 600

The total number of students enrolled in institutes A, D and F in 2016 = (165 + 175 + 200)

⇒ 540

Required x% = [(600 – 540)/540 × 100]

⇒ 60/540 × 100

⇒ 11.1

∴ The value of x is closest to 11.1

Calculation:

The number of students studying Computer science in institutes A and B = (57 + 48)

⇒ 105

The number of students studying Arts in institutes B and C = (45 + 55)

⇒ 100

Required percentage = [(105 – 100)/100 × 100]

⇒ (5/100 × 100)

⇒ 5

∴ Required percentage is 5

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

 32 ÷ 12 of 3 × [5 –  (15 –  12) ÷ 9] of $\frac{3}{7}$ + 4 –  8 ÷ 2 of 4 

⇒32 ÷ 12 of 3 × (5 – 3 ÷ 9) of 3/7 + 4 – 8 ÷ 2 of 4

⇒ 32 ÷ 12 of 3 × (5 – 1/3) of 3/7 + 4 – 8 ÷ 2 of 4

⇒ 32 ÷ 12 of 3 × 14/3 of 3/7 + 4 – 8 ÷ 2 of 4

⇒ 32 ÷ 12 of 3 × 2 + 4 – 8 ÷ 2 of 4

⇒ 32 ÷ 36 × 2 + 4 – 8 ÷ 2 of 4

⇒ 32 ÷ 36 × 2 + 4 – 8 ÷ 8

⇒ 32 ÷ 36 × 2 + 4 – 1

⇒ 16/9 + 4 – 1

⇒ 16/9 + 3

⇒ 43/9

⇒ $4 \frac{7}{9}$

∴ The required value is $4 \frac{7}{9}$

Given:

 a2 + c2 + 17 = 2(a - 8b - 2b2) 

calculation:

 a2 + c2 + 17 = 2(a - 8b - 2b2) 

⇒ a2 + c2 + 17 = 2a – 16b – 4b²

⇒ a² + 4b² + c² + 17 = 2(a – 8b)

⇒ a² – 2a + 1 + 4b² + 16b + 16 + c² = 0

⇒ (a – 1)² + (2b + 4)² + c² = 0

⇒ a = 1, b = -2 and c = 0

Now,

(a3 + b3 + c3) = (1)³ + (-2)³ + (0)³

⇒ 1 – 8 + 0

⇒ -7

∴ The required value is -7

Given:

Cos(A – B) = $\frac{\sqrt 3}{2}$

Cot(A + B) = $\frac{1}{\sqrt 3}$

Formula used:

Cos 30° = $\frac{\sqrt 3}{2}$

Cot 60° = $\frac{1}{\sqrt 3}$

Calculation:

According to the question

Cos(A – B) = $\frac{\sqrt 3}{2}$

⇒ (A – B) = 30° ......(1)

Cot(A + B) = $\frac{1}{\sqrt 3}$

⇒ (A + B) = 60° .....(2)

Now, adding both the equations we get,

⇒ (A – B) = 30° + (A + B) = 60° 

⇒ 2A = 90° 

⇒ A = 45°

Putting the value of A in equation (2)

⇒ 45° + B = 60° 

⇒ B = (60° – 45°)

⇒ B = 15° 

Now,

⇒ (2A – 3B) = (2 × 45° – 3 × 15°)

⇒ (90° – 45°)

⇒ 45° 

So, the value of (2A - 3B) is 45°

Given:

Students failed in school X = 20%

Number of students in school Y = 130% more than the number of students in school X

Students passed in both school = 90%

Calculation:

Let the number of students in school X be 100x

Number of failed students in school X = 20% of 100x

⇒ 20x

Number of passed students in school Y = (100x – 20x) = 80x

Number of students in school Y = 100x + 130% of 100x

⇒ 100x + (130/100 × 100x)

⇒ 100x + 130x

⇒ 230x

Total number of students in school X and school Y = (100x + 230x)

⇒ 330x

Number of passes students in both school = 90% of 330x

⇒ (90/100 × 330)

⇒ 297x

So, number of passed students in school Y = (297x – 80x)

⇒ 217x

Number of failed students in school Y = (230x – 217x)

⇒ 13x

Percentage of failed students in school Y = (13x/230x) × 100

⇒ (1300x/230x)

⇒ 5.65% ~ 5.7%

∴  The percentage of students who failed from school Y is 5.7%

Given:

2 men and 7 women can complete a work = 28 days

6 men and 16 women can complete a work = 11 days

Formula used:

Work = Efficiency × Time

Calculation:

According to the question

⇒ (2m + 7w) × 28 = (6m + 16w) × 11

⇒ 56m + 196w = 66m + 176w

⇒ 10m = 20w

⇒ m/w = 2/1

Total work = (2 × 2 + 7 × 1) × 28

⇒ (4 + 7) × 28

⇒ 11 × 28

⇒ 308

Time taken by 7 men to complete the work = (308/7 × 2)

⇒ (308/14)

⇒ 22 days

∴ Required days is 22.

Given:

Seven-digit number = 94x29y6

To be divided by 72

Concept used:

Divisibility rule of 8 = If the last three digits of a number are divisible by 8, then the number is completely divisible by 8

Divisibility rule of 9 = if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9

Calculation:

Now, putting the value of y = 1, 2, 4, 5, 6, 8 and 9, we can't divide the last 3 digit of seven-digit number by 8.

Only value of y will be 3 and 7

Now, if we take value of y as 3. Total sum of numbers should be divided by 9.

So, 9 + 4 + x + 2 + 9 + 3 + 6 = 33 + x

For sum to be divided by 9, the sum should be 36. So, value of x = 3

Now, value of both x and y = 3 which should not be the condition

So, value of y should be 7

Now, 9 + 4 + x + 2 + 9 + 7 + 6 = 37 + x

For sum to be divided by 9, the sum should be 45. So, value of x = 8

Now, Value of (2x + 3y) = (2 × 8 + 3 × 7)

⇒ 16 + 21 = 37

∴ The required value is 37

Given:

Amount = Rs. 13650

Rate of Interest = 15%

Time = 2 Years

Formula used:

S.I = PRT/100

Amount = Principal + S.I

Calculation:

Let the Principal be Rs. x

S.I = Rs. (13650 – x)

According to the question,

⇒ (x × 15 × 2)/100 = 13650 – x

⇒ 3x/10 = 13650 – x

⇒ 3x = 136500 – 10x

⇒ 13x = 136500

⇒ x = 10500

Now, if rate of interest is compounded half yearly, the interest becomes half and Time becomes twice

So, Rate of interest = 15% ÷ 2 = 7.5%

Time period = 1 × 2 = 2 years

Now, amount after 1 year = Rs. 10500 × (107.5/100)²

⇒ Rs. 12134.0625 ≈ Rs. 12134

∴ Amount becomes Rs. 12134 after 1 year if compounded half yearly

Given:

∠QAX = 59° 

∠QBY = 72° 

Calculation:

<br>

 

 

∠OAX = 90°

⇒ ∠OAQ = 90° – (59°)

⇒ ∠OAQ =  31° 

Now, ∠OBY = 90°

⇒ ∠OBQ = 90° – (72°)

⇒ ∠OBQ = 18° 

 

Since, OB = OQ = OA

⇒ ∠OBQ = ∠OQB  = 18° (radius)

⇒ ∠OAQ = ∠OQA  = 31° (radius)

∠AQB = ∠OBQ  + ∠OAQ

⇒ ∠AQB = (31° + 18°)

⇒ ∠AQB = 49° 

∴ The measure of ∠AQB is 49°

The correct answer is 'Unpretensious'.

Key Points

• Among the given options, 'Unpretensious' is incorrectly spelt.
• Its correct spelling is 'Unpretentious'.
• It means 'not trying to appear more special or important than you really are'. (अमहत्वाकांक्षी; सरल)
• Example: Although she was wealthy, she lived in an unpretentious house.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.
  

Correct Answer: Unpretensious.

Additional Information

• Let's look at the meaning of other words:
• Incriminating: to provide evidence that somebody is guilty of a crime. (किसी को अपराध का दोषी सिद्घ करने के लिए सबूत जुटाना; अभिशस्‍त करना)
• Cancellation: the act of cancelling something. (रद्द करने की क्रिया; निरसन)
• Embodiment: a tangible or visible form of an idea, quality, or feeling. (जीता-जागता नमूना, मूर्त रूप)

The correct answer is 'alliteration'.

Key Points

• The most appropriate option to fill in the given blank is 'alliteration'.
• The word 'Alliteration' means 'the use of the same letter or sound at the beginning of words that are close together, as in 'he built a big boat'. (किसी शब्‍द समूह में एक ही अक्षर या ध्वनि से आरंभ होने वाले शब्‍दों का प्रयोग; अनुप्रास अलंकार).
• Let's look at an example of 'alliteration'- Sheep should sleep in a shed.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.
  

Correct Sentence: Advertisers often use rhyme and alliteration.

Additional Information

• Let's look at the meaning of other words:-
• Denunciation: public condemnation of someone or something. (सार्वजनिक निंदा)
• Alteration: a small change in somebody/something. (थोड़ा बदलाव, आंशिक परिवर्तन)
• Designation: the act of giving something a name to show that it has a particular purpose; the act of choosing somebody to do a particular task. (विशेष उद्देश्य से दिया गया नाम; नियुक्ति; पदनाम; ओहदा)

The correct answer is 'Betty exclaimed with joy that she was very beautiful'.

Key Points

• The given sentence is in direct Speech. As per the question, we have to change it into indirect Speech.
• The process of transformation is as follows:
• The transformation of Exclamatory Sentence:
• The notion of these kinds of sentences is 'joy, sorrow, surprise, applause, detest, hate, etc.'
• Reporting Verbs are changed according to the notion of Reported Speech. These verbs are: 'exclaimed with surprise, exclaimed with sorrow, exclaimed with joy, exclaimed with contempt, etc.'
• 'That' is used in place of 'Inverted commas'.
• 'Tense, Pronoun, and Adverbials' are changed according to assertive sentences.
• Example:
• Nitin said, "What a match it was!". (Direct Speech)
• Nitin exclaimed that it was a good match. (Indirect Speech)
• 'said' will be changed into 'exclaimed with joy' because the notion of the given sentence is joy.
• 'is' will be changed into 'was'.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.
  

Correct Sentence: Betty exclaimed with joy that she was very beautiful.

Hinglish

• दिया गया वाक्य Direct Speech में है। प्रश्न के अनुसार हमें इसे Indirect Speech में बदलना होगा।
• परिवर्तन की प्रक्रिया इस प्रकार है:
• Exclamatory Sentence का परिवर्तन:
• इस प्रकार के वाक्यों की धारणा 'joy, sorrow, surprise, applause, detest, hate, etc.' है।
• Reported Speech की Notion के अनुसार Reporting Verbs को बदल दिया जाता है। ये क्रियाएँ हैं: 'exclaimed with surprise, exclaimed with sorrow, exclaimed with joy, exclaimed with contempt, etc.'
• 'that' का प्रयोग 'inverted commas' के स्थान पर किया जाता है।
• 'Tense, Pronoun, and Adverbials' assertive sentences के अनुसार बदले जाते हैं।
• Example:
• Nitin said, "What a match it was!". (Direct Speech)
• Nitin exclaimed that it was a good match. (Indirect Speech)
• 'said' को 'exclaimed with joy' में बदल दिया जाएगा क्योंकि दिए गए वाक्य की Notion खुशी है।
• 'is' को 'was' में बदल दिया जाएगा।
• इसलिए, ऊपर वर्णित बिंदुओं के अनुसार, हम पाते हैं कि सही उत्तर विकल्प 2 है।

The correct answer is 'A dream or idea that is unlikely to happen'.

Key Points

• The most appropriate meaning of the given idiom 'Pipe dream' is 'A dream or idea that is unlikely to happen'.
• Pipe dream: an unattainable or fanciful hope or scheme. (एक अप्राप्य या काल्पनिक आशा या योजना)
• Example: Free trade in international aviation will remain a pipe dream.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.
  

Correct Answer: A dream or idea that is unlikely to happen.

The correct answer is 'Chew'.

Key Points

• The word 'Munch' means 'to bite and eat something noisily.' (किसी वस्‍तु को काटना और आवाज़ करते हुए खाना, चबड़-चबड़ कर खाना)
• The synonyms of the word 'munch' are "chew, champ, chomp, masticate, crunch, scrunch, eat, chumble, manducate, triturate".
• From the synonym of the given word, we can say that the word 'Chew' is the most similar in meaning.
• The word 'Chew' means 'to bite something continuously with the back teeth.' (पिछले दाँतों से लगातार चबाते रहना)

Hence, the correct answer is Option 1. Let's see the meaning of other given options:-

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Additional Information 

• Example of 'Munch' in a sentence:
• He sat there munching (on) an apple.