SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 1) (Previous Year Paper)

The logic that follows here is shown below:

(2^nd number - 1^st number)² = 3^rd number 

(2, 8, 36) 

⇒(8 - 2)²=36

⇒6²=36

⇒36=36

(4, 9, 25)

⇒(9 - 4)²=25

⇒5²=25

⇒25=25

By, checking the options

1. (14, 18, 9)

⇒(18 - 14)² = 9

⇒4² = 9

⇒16 ≠ 9

2. (13, 20, 49)

⇒(20 - 13)² = 49

⇒7² = 49

⇒49 = 49

3. (21, 15, 35)

⇒(15 - 21)² = 35

⇒(-6)² = 35

⇒36 ≠ 35

4. (12, 14, 26)

⇒(14 - 12)² = 26

⇒2² = 26

⇒4 ≠ 26

Hence, the correct answer is option 2.

According to the English alphabets & their positional values:

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The pattern followed is:

     First alphabet is increased by 1 at odd steps & by 2 at even steps.

     Second alphabet is increased by the difference of 2 at odd steps & decrease by the difference of 2 at even steps.

Hence the correct answer is option 3.

Alternate Method 

Hence the correct answer is option 3.

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

The logic that follows here is as follows:

The word PLANNED is written as RNCNPGF

Similarly, the word PROMOTE will be written as RTQMQVG

In the same way, IMPROVE will be written as

IMPROVE is written as KORRQXG

Hence, the correct answer is "KORRQXG".

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

The logic that follows here is as shown below:

The code is the previous letter according to English alphabet of the given letters in reverse analogy

The word BELL is written as '111141'.

Similarly, the word HEAR is written as '172647'

In the same way MIKE will be coded as 

MIKE is coded as 410812

Hence, the correct answer is '410812'.

Given image:

The mirror image of the given image is shown below:

Hence, the correct answer is option 1.

By using the BODMAS rule:

Checking the options:

1. 15 + 5 ÷ 1 - 9 × 4 = 70

After interchanging the symbols × and -

⇒15 + 5 ÷ 1 × 9 - 4 = 70

⇒15 + 5 × 9 - 4 = 70

⇒15 + 45 - 4 = 70

⇒60 - 4 = 70

⇒56 ≠ 70

2. 5 - 6 × 3 + 16 ÷ 4 = 31

After interchanging the symbols × and -

⇒5 × 6 - 3 + 16 ÷ 4 = 31

⇒5 × 6 - 3 + 4 = 31

⇒30 - 3 + 4 = 31

⇒27 + 4 = 31

⇒31 = 31

3. 11 + 6 × 3 - 8 ÷ 2 = 5

After interchanging the symbols × and -

⇒11 + 6 - 3 × 8 ÷ 2 = 5

⇒11 + 6 - 3 × 4 = 5

⇒11 + 6 - 12 = 5

⇒17 - 12 = 5

⇒5 = 5

4. 15 - 4 × 3 + 6 ÷ 1 = 63

After interchanging the symbols × and -

⇒15 × 4 - 3 + 6 ÷ 1 = 63

⇒15 × 4 - 3 + 6 = 63

⇒60 - 3 + 6 = 63

⇒57 + 6 = 63

⇒63 = 63

Only option 1 is not followed.

Hence, the correct answer is option 1.

The logic here followed is:

Police : Protection ⇒

• The police provide protection to the citizens of a state/country.

Minister: Governance ⇒

• a minister is responsible for the governance of a country/state.

Note:

• The rest of the options don't draw parallelism with the relation that is stated in the question.

Therefore, the correct answer is: Minister : Governance.

The figure that will come in the figure series is shown below: 

The figure is moving 45° anticlockwise direction.

Next step:

The figure will move 45° anticlockwise from the previous step.

                                  

Now we consider the given options:

Option 1)

The figure moves 45° clockwise.

Option 2)

The figure moves 180° anticlockwise.

Option 3)

The figure moves 90° anticlockwise.

Option 4)

The figure is correct.

Hence, the correct answer is option 4.

The logic that followed here is as shown below:

Hence, the correct answer is 79.

The logic that follows is shown below:

First and fifth alphabets interchange their positions.

Second and fourth alphabets interchange their positions.

Sixth and seventh alphabets interchange their positions. 

And

Similarly,

Hence, the correct answer is option 2.

The mirror image for the given image is shown below:

Hence, the correct answer is option 3.

According to the dictionary order the given words are arranged in the following manner:

3. Serein

4. Serial

1. Series

2. Serious

5. Serried

According to the arrangement the third positioned letter is Series

Hence, the correct answer is 'Series'.

According to the English alphabets & their positional values:

The pattern followed is:

First and third alphabet are of opposite positional values.

Second alphabet is decreased by 8 to form fourth alphabet.

Now we apply the pattern on the given options:

Option 1) 

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Option 2) 

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Option 3)

Option 4) 

VCDR does not follow the pattern.

Hence the correct answer is option 4.

From the given information the equation becomes:

C # D @ E % Z & L # M - N * P,

C is the sister of D, D is the brother of E, E is the father of Z, Z is the son of L, L is the sister of M, M is the daughter of N, N is the wife of P.

Preparing the family tree using the following symbols:

     

From the family tree, we can see that E is the husband of L.

Hence the correct answer is option 1)

From the given information:

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Now we solve the equations in the options:

Option 1) P - Q + R 

⇒ P is the brother of Q, Q is the sister of R.

                   

Here P,Q and R are siblings therefore P is the brother of R.

Option 2) P + Q - R 

⇒ P is the sister of Q, Q is the brother of R.

                    

Here P,Q and R are siblings but P is the sister of R.

Option 3) P × Q + R 

⇒ P is the father of Q, Q is the sister of R.

                                    

Here Q and R are siblings but P is the father. So P is the father of R.

Option 4) P - Q × R 

⇒ P is the brother of Q, Q is the father of R.

                                 

Here Q and P are siblings but Q is the father. So P is uncle of R.

Hence the correct answer is option 1.

When we compare figures 1 and 3, we get:

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When the dice is rotated such that '6' and '3' is visible in both the cases we get '1' at the left and '4' at the right side.

Therefore the number that will be on the face opposite to the one showing '4' is '1'.

Hence the correct answer is option 1)

We apply the options on the given equation & solve it using BODMAS rule:

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Option 1) +, ÷, ×, -

5 + 15 ÷ 320 × 2 - 45 = 190

5 + 0.04 × 2 - 45 = 190

5 + 0.08 - 45 = 190

5.08 - 45 = 190

-39.92 ≠ 190

Option 2) ×, +, ÷, -

5 × 15 + 320 ÷ 2 - 45 = 190

5 × 15 + 160 - 45 = 190

75 + 160 - 45 = 190

235 - 45 = 190

190 = 190

Option 3) +, ×, ÷, -

5 + 15 × 320 ÷ 2 - 45 = 190

5 + 15 × 160 - 45 = 190

5 + 2400 - 45 = 190

2405 - 45 = 190

2360 ≠ 190

Option 4) ×, ÷, -, +

5 × 15 ÷ 320 - 2 + 45 = 190

5 × 0.04 - 2 + 45 = 190

0.2 - 2 + 45 = 190

45.2 - 2 = 190

43.2 ≠ 190

Hence the correct answer is option 2)

The pattern followed in the given sets is:

    (First term + Second term) × (Second term - First term) = Third term

Now we apply the pattern on the given sets:

(7, 11, 72)

(7 + 11) × (11 - 7) = 72

18 × 4 = 72 

72 = 72

(5, 8, 39)

(5 + 8) × (8 - 5) = 39

13 × 3 = 39

39 = 39

Now we apply the pattern on the given options:

Option 1) (4, 7, 33)

(4 + 7) × (7 - 4) = 33

11 × 3 = 33 

33 = 33

Option 2) (2, 3, 1)

(2 + 3) × (3 - 2) = 1

5 × 1 = 1

5 ≠ 1

Option 3) (5, 2, 23)

(5 + 2) × (5 - 2) = 23

7 × 3 = 23

21 ≠ 23

Option 4) (5, 6, 13)

(5 + 6) × (6 - 5) = 13

11 × 1 = 13

11 ≠ 13

Hence the correct answer is option 1)

We apply the options on the given equation & solve it using BODMAS rule:

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Option 1) ×, +, -, =

30 × 4 + 2 - 1 = 121

120 + 2 - 1 = 121

122 - 1 = 121

121 = 121

Option 2) ×, -, ÷, =

30 × 4 - 2 ÷ 1 = 121

30 × 4 - 2 = 121

120 - 2 = 121

118 ≠ 121

Option 3) ×, -, +, =

30 × 4 - 2 + 1 = 121

120 - 2 + 1 = 121

121 - 2 = 121 

119 ≠ 121

Option 4) ÷, +, -, =

30 ÷ 4 + 2 - 1 = 121

7.5 + 2 - 1 = 121

9.5 - 1 = 121

8.5 ≠ 121

Hence the correct answer is option 1)

The pattern followed in the given set is:

   Second term + Third term = First term

Now we apply the pattern on the given set:

(267, 128, 139)

128 + 139 = 267

267 = 267

We apply the pattern on the given options:

Option 1) (267, 132, 135)

132 + 135 = 267

267 = 267

Option 2) (325, 112, 215)

112 + 215 = 325

327 ≠ 325

Option 3) (365, 154, 211)

154 + 211 = 365

365 = 365

Option 4) (297, 146, 151)

146 + 151 = 297 

297 = 297

Hence the correct answer is option 2)

Mistake PointsThe question is asking for not correct, so mark the option that is not correct(wrong).

Logic: Square of First Number + 3 = Second Number

Check all the options:

1. 15-220: $15^2 = 225 + 3 = 228 \ne 220$

2. 9-84: $9^2 = 81 + 3 = 84$

3. 13-172:$13^2 = 169 + 3 = 172$

4. 11-124:$11^2 = 121 + 3 = 124$

Thus, the odd pair is 15-220.

Hence, the correct answer is 'option 1'.

The alphabets and their positions are:

The logic here is:

Thus, the next term will be 'MLC'.

Hence, the correct answer is 'option 1'.

According to the given statements, we have

Conclusions:

I. Some theories are exams.→Follows:[Since given some exams are viva and all viva are theories. So some theories are exams is definitely true.]

II. Some theories are viva.→Follows: [Since all viva are theories and so some theories are viva is definitely true.]

III. Some tests are viva.→ Does not follow: [Since given some tests are exams and some exams are viva. So some tests are viva is possible but not definitely true.]

Thus, only conclusions I and II follow.

Hence, the correct answer is 'option 2'.

Given:

Logic: The line is increased by one in a clockwise direction. Once the square is done, another line is made inside the square to make another square.

Thus, the next image will be:

Hence, the correct answer is 'option 1'.

According to the given statements, we have,

Conclusions:

I. Some G are Z.→ Does not follow [Since all G are X and all Z are X. So some G are Z is possible but not definitely true. This is not true.]

II. All X are G. →  Does not follow [Since given all G are X and so some all X are G is possible but not definitely true. This is not true.]

III. Some Z are X. → Follows [Since given all Z are X and so some Z are X is definitely true. This is true.]

Thus, only conclusion III follows.

Hence, the correct answer is 'option 2'.

The correct answer is Na₂CO₃.10H₂O.

Key Points:

• Na2CO3.10H2O is the chemical formula for washing soda.
• It is a sodium carbonate inorganic hydrate.
• As a result of its extraction from plants growing in sodium-rich soils, it was given the moniker soda ash.
• It is a metal carbonate that is a white, crystalline solid and soluble in water.
• Here are the procedures involved in producing sodium carbonate:
• Brine purification.
• Sodium hydrogen carbonate production.
• Creation of sodium carbonate.
• Ammonia recovery.

Additional Information:

• Washing soda applications:
• Used in homes and businesses as cleaning agent.
• The paper industries ,textile industries ,soap industries ,and detergent industries all use it.
• It is a component of water softening process.
• It is employed in production of glass.
• One of the most crucial agents in laundries is washing soda.

The correct answer is It is included only in intermediate goods.

Key Points:

• The following are the main characteristics of national income:
• Macroeconomic concepts include national income.
• Taking into account the monetary value of goods and services is national income.
• An extended period of time is used to measure national income.
• Considerations for national income include the net total values of products and services.
• National income solely takes into account the value of final items to prevent double counting.
• When calculating national income, the value of intermediate items is not taken into account.
• Net factor income from abroad is included in national income (NFIA).

Additional Information:

• In the simplest terms, national income refers to a country's riches.
• The value of the commodities and services generated in an economy serves as a gauge of its prosperity.
• It represents the overall monetary worth of the commodities and services that a country produces in the course of a fiscal year.
• Rent, wages, profits, and interests are a few examples of payments that can be paid to different kinds of resources.
• The idea of national income is under the ambit of macroeconomics.

The correct answer is 919.

Key Points:

• The ratio of females to men in the 0–6 age group is known as the child sex ratio.
• India's child sex ratio was 927 in the census of 2001 but dropped to 919 in the census of 2011.
• According to the 2011 Census, Haryana has the lowest child sex ratio (834 per thousand men), while Arunachal Pradesh has the highest (971 females against 1000 males) among the Indian states.
• Andaman and Nicobar Islands has the greatest child sex ratio of any Indian Union Territory, at 968 per 1,000 men.

Additional Information:

• The child sex ratio has decreased in India for a variety of causes.
• The society's desire for a boy child over a girl child is one of the primary causes of this threat.
• Sons will take care of parents in old age, extravagant dowry demands, men are the breadwinners, sons can administer the last rites and can take care of the parents, etc. are some other reasons.

The correct answer is Padma Vibhushan.

Key Points:

• The "Yamini school of Dance" was established by Yamini Krishnamurthy in Delhi in 1990.
• She has also produced a unique dancing programme for the Doordarshan channel.
• The critics gave her book "A Passion for Dance" positive reviews.
• Throughout her dance career, she received numerous honours, including the Padma Shree (1968), Padma Bhushan (2001), and Padma Vibhushan (2016), two of the highest civilian awards given out by the Indian Republic.

Additional Information:

• One of India's first classical dancers was Yamini Krishnamurthy.
• She has received training in both Kuchipudi and Bharatanatyam, two contrasting dancing styles.
• She was born in Madanapalle, Andhra Pradesh, on December 20, 1940.
• At Chennai's Kalakshetra School of Dance, Yamini Krishnamurthy studied Bharatnatyam under Rukmini Devi Arundale.
• Later, she received training from illustrious teachers like Thanjavur Kittappa Pillai and Kanchipuram Ellappa Pillai.
• Under the instruction of Vedantam Lakshmi Narayana Shastri, Chinta Krishnamurthy, and Pasumarthy Venugopal Krishna Sharma, she learned Kuchipudi.

The correct answer is Citadel.

Key Points:

• Numerous of these cities had two or more distinct portions.
• The area to the west was often taller and smaller.
• This is referred to by archaeologists as the citadel.
• In general, the eastern portion was lower and larger.
• The lower town is what it's known as.
• Each component was frequently surrounded by the walls made of baked brick.
• The bricks have endured for countless years because of how well they were built.
• The walls were robust because the bricks were arranged in an interlocking manner.

Additional Information:

• Special buildings were built on the citadel in certain cities.
• For instance, in Mohenjodaro, a highly unusual tank known as the Great Bath was constructed in this region.
• This was plastered, lined with bricks, and sealed with a layer of natural tar to prevent leaks.
• From two sides, steps led down to it, and chambers surrounded it on all sides.
• Most likely, water was brought in from a well and emptied after usage.

The correct answer is Union Public Service Commission.

Key Points:

• Raj Shukla, a retired Army officer, has been appointed to the Union Public Service Commission (UPSC).
• The Indian Administrative Service (IAS), Indian Foreign Service (IFS), Indian Police Service (IPS), and Central Services - Group A and Group B are among the positions for which the UPSC recommends candidates to the government.
• On Republic Day 2021, Shukla received the Param Vishisht Seva Medal in honour of his service of the highest degree.
• Shukla, a skilled pilot and charismatic speaker, has written around 70 papers and publications and delivered more than 180 lectures and seminars both in India and abroad.

Additional Information:

• A retired general officer of the Indian Army, Lieutenant General Raj Shukla held the position of General Officer Commanding-in-Chief of the Army Training Command (GOC-in-C ARTRAC).
• On May 1, 2020, he took over as president, following Lt. Gen. P. C. Thimayya.
• His retirement date was March 31, 2022.
• Shukla has held visiting fellowships at both the Centre for Land Warfare Studies and the Institute for Defense Studies and Analyses.

The correct answer is 1 km.

Key Points:

• The Supreme Court mandated an eco-sensitive zone of at least one kilometre starting from each national park and wildlife sanctuary in the country in an order that was published on June 3, 2022.
• The decision was taken in response to a petition to protect forested regions in Tamil Nadu's Nilgiris district.
• This decision nullifies the ESZ border limit around protected areas, as the Supreme Court previously declared.
• All states and Union Territories where the minimum ESZ extent is not stated would also be subject to it.
• Due to ideological differences between the federal and state administrations as well as between the states and their respective states, India does not have a statute that mandates the maintenance of the eco-sensitive zone surrounding its protected area.

Additional Information:

• Eco-Sensitive Zones (ESZs) and Ecologically Fragile Areas (EFAs) are related words (EFAs).
• The MoEFCC declares regions close to national parks, wildlife sanctuaries, and protected areas as eco-sensitive zones.
• ESZs act as a kind of "shock absorber" for protected areas by regulating and monitoring activity inside and outside of them.
• The National Board for Wildlife (NBWL) asserts that any limitations should only be required when absolutely necessary and that the creation of eco-sensitive zones must be site-specific.

The correct answer is It is slower.

Key Points:

• The following variables influence the rate of decomposition:
• Chemical make-up of detritus,
• pH,
• Temperature,
• Moisture, and
• Aeration of the soil.
• Decomposition proceeds more quickly when the soil is rich in nitrogen.
• The rate of decomposition is accelerated by the presence of water-soluble carbohydrates.
• The degradation process is slowed down by the presence of big complex polymers in the debris, like lignin and chitin.

Additional Information:

• The breakdown of dead organic matter into more fundamental organic or inorganic components including carbon dioxide, water, simple sugars, and mineral salts is known as decomposition, also referred to as rot.
• The process, which is a part of the nutrient cycle, is essential for recycling the scant material that occupies space in the biosphere.
• When a living organism passes away, the body begins to decompose.
• Animals like worms also contribute to the breakdown of the chemical molecules.
• Organisms that carry out this process are known as decomposers or detritivores.

The correct answer is Kathak.

Key Points:

• Many people consider Rani Karnaa, an Indian classical dancer famed for her mastery of the Kathak dance style, to be one of the genre's best practitioners.
• In 2014, the Indian government recognised her contributions to the dance world by giving her the Padma Shri, the country's fourth-highest civilian honour.
• Rani Karnaa is credited with fusing the customs of the Jaipur and Lucknow gharanas in addition to spreading Kathak through her performances.
• Many commentators have praised her for her work fusing the literature, music, and dance of various cultural traditions with Kathak.
• She is credited with fusing artistic expression with inventive thinking.

Additional Information:

• Rani Karnaa was born in Hyderabad, in what is now modern Pakistan and former British India, in 1939 to a Sindhi dynasty of amirs.
• Assandas Karnaa, her father, was originally from the Karnamalani family in the Larkana district.
• Over time, the family name Karnamalani became shortened to Karanani and then to Karnaa.
• When Rani was three years old, her family relocated to Delhi.
• Her early education was in Delhi, and she received her degree in botany from the Hindu College there.
• Later, she earned an Honours degree in Botany, but she chose to focus on her dance profession rather than her academics.

The correct answer is disqualification.

Key Points

• Badminton
• ​Lawn, court, or badminton game played with a shuttlecock and lightweight rackets.
• The shuttlecock, commonly referred to as a "bird" or "birdie," was historically a little cork hemisphere with 16 goose feathers sewn on it that weighed about 0.17 ounces (5 grams).
• Modern play may still employ these shuttles, although the Badminton World Federation also permits the use of synthetic shuttles.
• The game is called after Badminton, which was initially played around 1873 at the duke of Beaufort's country home in Gloucestershire, England.
• Poona, a game played by British army officers stationed in India in the 1860s, is directly related to badminton.
• In 1899, the first unofficial all-England men's badminton championships and the inaugural badminton competition for women were arranged the next year.
• Badminton made its Olympic debut in 1972 as a demonstration sport and in 1988 as an exhibition sport. It was made a full-medal Olympic sport for the 1992 Games, including competition in the men's and women's singles (one against one) and doubles events (two against two). The mixed pairs event debuted in the 1996 Olympics.
• As per the guidelines laid down by the Badminton World Federation (BWF), the length of a standard badminton court remains the same - 13.40m (44 feet) - for both types of competitions.
• But the width differs with the singles court running wide till 5.18m (17 feet), denoted by the side lines, while for the doubles court, the width is extended to 6.1m (20 feet), marked as the doubles sidelines.
• The 2022 BWF World Championships were a badminton competition that took place from August 22 to August 28 at Tokyo Metropolitan Gymnasium in Tokyo, Japan (formally known as the Total Energies BWF World Championships 2022 due to sponsorship considerations).
• 2022 BWF World Championships medalist table

Additional Information

The correct answer is Suman Bery.

Key Points

• NITI Aayog 
• ​​The NITI Aayog has taken the place of the Planning Commission, which has a legacy dating back 65 years. For a longer time, the Planning Commission's usefulness and importance had been questioned. The alternative appears to be more appropriate and sensitive to the nation's current economic needs.
• NITI Aayog Chairman – Narendra Modi
• NITI Aayog Vice-Chairman – Shri Suman Bery is currently Vice Chairperson, NITI Aayog, in the rank and status of a Cabinet Minister. An experienced policy economist and research administrator, Mr Bery took over as NITI Aayog Vice Chairperson from 1 May 2022.
• NITI Aayog Revolution
  

Aayog was established on January 1st, 2015. The word "NITI" signifies morals, behaviour, instruction, etc. in Sanskrit. However, it refers to policy in the current context, and NITI stands for "National Institution for Transforming India." It is the leading institution for formulating national policy and is anticipated to support the nation's economic expansion. It aspires to build a powerful state that will aid in building a vibrant and powerful country. This aids India's emergence as a significant global economy. Both the "Team India Hub" and the "Knowledge and Innovation Hub" are projects of the NITI Aayog.

• 7 pillars of effective governance envisaged by NITI Aayog
• ​​​​​Pro-people: it fulfils the aspirations of society as well as individuals
• Pro-activity: in anticipation of and response to citizen needs
• Participation: involvement of the citizenry
• Empowering: Empowering, especially women in all aspects
• Inclusion of all: inclusion of all people irrespective of caste, creed, and gender
• Equality: Providing equal opportunity to all especially for youth
• Transparency: Making the government visible and responsive.
• Recent news on NITI Aayog-
• The Niti Aayog Governing Council's recent agenda item is the "One District, One Product Policy." At the district level, it wants to increase export.
• A research on the impact of a few Supreme Court and National Green Tribunal decisions on the Indian economy has been ordered by Niti Aayog.
• Niti Aayog is the responsible organisation for the National Action Plan for Migrant Workers, which is currently in progress.
• The NITI Aayog has developed a model Act on conclusive land titles in the expectation that states will adopt it and put it into effect. The objective is to enable transparent real estate transactions and land acquisition for infrastructure improvements, as well as to make it easier for farmers to get loans and to reduce the number of land-related lawsuits.
• Goals of the NITI Aayog
• ​the active involvement of States to create a "national agenda" and a framework in light of national goals.
• To continuously advance cooperative federalism through organised support channels and efforts with the States.
• To develop techniques for creating a trustworthy plan at the village level and subsequently combine these at higher tiers of government
  

an economic strategy that takes national security issues into account.

• To give the societal groups that might not be able to fully benefit from economic advancement additional consideration.
• To put forth frameworks and efforts for long-term, strategic policy and programme planning and to assess the performance of those initiatives.
• To provide guidance, promote collaborations between key players and national-international think tanks, as well as educational and policy research institutions.
• To generate knowledge, innovation, and entrepreneurial support system through a shared community of national and international experts, etc.

Additional Information

The correct answer is Tansen.

Key Points

• Tansen 
• Birth year: 1506​
• Birthplace: Gwalior, Madhya Pradesh
• Name at birth: Ramtanu
• 1586 is the death year.
• Death Place: Agra
• Vocalist, composer of music, and instrumentalist
• Husseini is his spouse
• Hamirsen, Suratsen, Tanras Khan, Saraswati Devi, and Bilas Khan are among the kids.
• Mukund Mishra is the father.
• Awards: Akbar bestowed upon him the title of "Miyan."
• Tansen, regarded as India's best musician, is credited with inventing the classical music that predominates in the country's northern regions (Hindustani classical music). Tansen was a vocalist and musician who wrote a lot of ragas. He began as King Ram Chand of Rewa State's court singer. According to legend, after learning of his amazing musical abilities, Emperor Akbar transformed him into his own musician. He afterwards became one of the Navaratnas (Nine Gems) in the court of Mughal Emperor Akbar. The life of Tansen is associated with many legends. Some of the most common ones are his ability to create rain and fire by just using his musical skills. Whatever the legends may be, there is no denying the fact that he was the greatest among all musicians this country has ever produced.
• Tansen's Connection with Miracles
• According to legend, the renowned singer was capable of working many miracles through his voice. According to a well-known narrative, Akbar's ministers came up with a scheme when they wanted to purposefully embarrass Tansen. The emperor was contacted by the ministers, who begged him to persuade Tansen to sing the Raga Deepak, a raga that was meant to start fire! Tansen was instructed to light the lamps by singing after Akbar, who was eager to see the miracle, ordered his slaves to set a number of them. When Tansen sang Raga Deepak, all of the lamps simultaneously lit up!
• Tansen also performed other miracles, such as bringing rain by singing Raga Megh Malhar. According to legend, Tansen used this particular raga shortly after Raga Deepak. This is due to the fact that Raga Deepak raised the temperature while Raga Megh Malhar lowered it. Raga Deepak has been lost to time, however Raga Megh Malhar is still in existence now.
• Tansen was renowned for using music to communicate with animals. A ferocious elephant is supposed to have once been brought into Akbar's court. All expectations were placed in Tansen because no one else could tame the animal. The elephant was calmed by the emperor's favourite singer's songs, and he also inspired Akbar to ride on it, which according to stories, Akbar did.

Additional Information

The correct answer is 1878.

Key Points

• Vernacular press act 1878
• ​British India passed the Vernacular Press Act (1878) to restrict press freedom and discourage criticism of British policy, notably the opposition that had risen since the commencement of the Second Anglo-Afghan War (1878–80).
• The Act was submitted by Lytton, the Viceroy of India at the time, and on March 14, 1878, the Viceroy's Council unanimously approved it. In order to "better control" the vernacular press and effectively penalise and prohibit "seditious literature" in "publications in oriental languages," the Vernacular Press Act (VPA) was passed.
• As a result, the British had nothing but hatred for the (non-English speaking) Indian press.

Additional Information

• The Bengal Gazette was the first newspaper to be printed in India. James Hickey, the editor of this publication, was a vocal opponent of the East India Company. The newspaper was shut down as a result within two years of starting to publish.
• The Bengal Gazette served as the model for a number of Indian newspapers that are presently printed in all major languages. These journals carried editorials that were anti-colonial and attacked the East India Company's haughtiness.
• The existence of such columns was crucial in educating the rapidly emerging educated Indian class about the brutal colonial authority that had been imposed upon India by a force that professed to support democracy.
• The East India Company, which wished to uphold its hegemony in India despite all obstacles, was harmed by this. Especially when the Second Anglo-Afghan War began in 1878, newspapers like Amrita Bazar Patrika and others were vociferous in their condemnation of the British in India.
• Viceroy Lord Lytton, therefore, created the Vernacular Press Act in 1878 to regulate seditious reports in vernacular newspapers published in India in an effort to stop this.
  

Due to the agitation, it produced among the Indians, Lord Ripon abolished the Vernacular Press Act in 1881.

The correct answer is Hand rubber.

Key Points

• Conductor
• ​A substance or material that permits the flow of electricity is known as an electrical conductor. When voltage is provided, electrical charge carriers, often electrons or ions, travel effortlessly from atom to atom in a conductor.
• Several types of electrical conductors include - Human Body, Copper, Aluminium, Silver, Gold, Graphite, Platinum.
• Electric charges can easily pass through an electrical conductor. Conductivity is the ability of conductors to "conduct" electricity. Such materials provide less barrier to the movement of charges. Because electrons can freely flow through conducting materials, charge transfer is simple. Such materials offer less opposition or “resistance” to the flow of charges. Conducting materials allows easy charge transfer because of the free movement of electrons through them.
• Electrical Conductor Properties
• The flow of electrons and ions via a conductor is constant.
• Since there is no electric field inside a conductor, electrons can move around freely.
• Inside a conductor, the charge density is zero.
• Free charges are only present on the conductor's surface.
• A conductor's points are all at the same potential.
• Many metals are effective electrical conductors. This is the rationale behind the use of metals in electrical appliance parts. Insulators are the plastic casings that shield electrical conductors. We won't experience an electric shock thanks to it.

Additional Information

• Solid Conductor
• Metallic Conductor: Silver, Copper, Aluminum, Gold, etc.
• Non-Metallic Conductor: Graphite
• Alloy Conductor: Brass, Bronze, etc.
• Liquid Conductor
• Metallic Conductor: Mercury
• Non Metallic Conductor: Saline Water, Acid Solution, etc.
• Copper Conductor is the most common material used for electrical wiring.
• Gold Conductor is used for high-quality surface-to-surface contacts.
• Silver is the best conductor on the Conductors list.
• Impure Water is listed in the Conductor List but it has less conductivity.

The correct answer is 6.

Key Points 

• Article 19
• All citizens shall have the right-

1. to freedom of speech and expression.
2. to assemble peaceably and without arms;
3. to form associations or unions;
4. to move freely throughout the territory of India.
5. to reside and settle in any part of the territory of India.
6. to practice any profession, or to carry on any occupation, trade or business.

 Additional Information     

The correct answer is Vijayalaya.

Key Points

• Vijayalaya ​
• The mediaeval Chola kingdom was started by Vijayalaya Chola, who gave it a solid foundation.
• He was one of those kings who built up an empire from nothing, conquered strong neighbouring empires like the Pandyas and the Pallavas, and rose to prominence throughout all of ancient South India.
• The early Cholas were extremely powerful, but they gradually lost it and were reduced to serving as feudal lords for other kingdoms. Around 300 A.D., they entered total darkness. Cholas vanished entirely from their homeland after this time. Around 848 A.D., a hero of Chola descent who we now know to as the great Vijayalaya Chola restored Chola authority.
• The name Parakesarivarman was given to him. He rebuilt the Lord's Shiva temple in Narthamalai called Vijayalaya Choleeswaram which was built by Mutharayars.
• Varagunavarman II of the Pandyas and Nandivarman III of the Pallavas came up with a strategy to stymie the Cholas' growing influence in South India after suffering a devastating loss at the hands of Vijayalaya Chola.
• First, Varagunavarman II mounted an army-sized incursion into Chola territory. The Pandyan army arrived at the Kaveri River's north bank. Vijayalaya was quite elderly and unable to participate in conflicts at this point.
• Aditya I, however, one of his sons, was also a renowned Chola emperor. In our articles titled "Battle Of Sri Purambiam" and "Aditya I," we fully explain what happened when his son seized command of the army. Vijayalaya's son took over command of the army after he  died of aging, probably around 871 A.D. and he was succeeded by his son Aditya I.

Additional Information 

The correct answer is "Kanpur".

Key Points

• Sarojini Naidu was an Indian political activist, poet, and prominent leader in India's struggle for independence.
• She was the first Indian woman president of the Indian National Congress.
• She was a prolific poet. She wrote The Golden Threshold, The Bird of Time.
• She was also known as the 'Nightingale of India'.

Additional Information

• Indian National Congress is a political party in India that was established in 1885.
• Womesh Chandra Banerjee was the first president of Congress.
• Jawaharlal Nehru dominated the congress party and won a number of elections.

The correct answer is "Executive".

Key Points

• The executive is the government branch responsible for implementing laws and policies.
• This branch of government has the sole authority and responsibility for administration.
• This branch is headed by the president.
• The Prime Ministers, Chief Ministers, and President are part of this branch.

Additional Information

• There are three branches of the government in India:
• The executive
• The legislature
• The judiciary
• The main functions of these:
• Executive - This branch implements laws enacted by the legislature.
• Legislature -  The main function of this is to enact laws.
• Judiciary - This form settles disputes and provides justice to all citizens.

The correct answer is "Herbivores".

Key Points

• In a food chain, secondary producers are herbivores.
• Herbivores are those organisms that feed on trees, plants, and fruits.
• It is food for a predator.
• Secondary producers are also consumers.
• Most herbivores have wide flat teeth that help them to grind grass, tree parts, etc.

 Additional Information

• Food chain - It is an order of events occurring in the ecosystem, it shows one living organism eating another.
• The food chain consists of :
• Producers
• Primary consumers
• Secondary consumers
• Tertiary consumers
• The producers
• are the ones that produce food.
• these include all the autotrophs, like phytoplankton, green plants, etc.
• Consumers
• these are dependent on other organisms or plants for food.
• includes herbivores, carnivores, etc.
• Omnivores - Organisms that eat both plants and animals.
• Carnivores - Organisms that eat animals.
• Decomposers - These feed on dead and decaying things.

The correct answer is "Barley".

Key Points

• Rabi crops are those which are sown during winter and harvested in the spring season.
• These are sown around mid-November mostly after the monsoon is over and harvested in April or May.
• Major rabi crop in India is Wheat, Barley, Mustard, and Peas.
• So, Barley is a Rabi crop in North India.​

Additional Information

• There are three cropping seasons in India:
• Kharif season
• Rabi season
• Zaid season
• Kharif season -
• This season starts in June and ends in October.
• The crops are sown in June and harvested in September.
• These include Rice, Sorghum, Maize, Tea, etc.
• Rabi season -
• The crops are sown during October and harvested in February.
• These are winter-season crops.
• These include wheat, oats, barley, pulses, etc.
• Zaid season -
• These are sown in March and harvested in June.
• These include Seasonal fruits and vegetables.

The correct answer is "Yoga Utsav".

Key Points

• Yoga Utsav was organised in Lal Bhadur Shashtri Stadium in Hyderabad.
• This was organised by Ministry of Ayush with support of Telangana government to mark 25 days countdown to International Yoga Day 2022.
• The theme was this yoga was "Make yoga a part of your life".
• More than 10,000 people performed common yoga protocol during this event.

Additional Information

• Union Ayush Minister Sarbananda Sonowal attended this event.
• Telangana Governor Dr. Tamilisai Soundararajan was also present during this event.
• Union Tourism Minister G Kishan Reddy, Dr Munjpara Mahendrabhai Kalubhai, the Union Minister of State for Women & Child Development, and Telegana Finance Minister Thanneeru Harish Rao also attended this event.

The correct answer is "Kerala".

Key Points

• Mango showers are pre-monsoon showers.
• These are common in the states of Kerala and Karnataka.
• These rains help in the ripening of mangoes and occur at the end of the summer season.
• These are also referred to as April rains.

Additional Information

• Blossom showers -
• This is also known as a cherry blossom or espresso shower.
• This occurs nearby the wind areas.
• This period in India is referred to as the early monsoon.
• Tea shower -
• Pre-monsoon rain is required for tea plantations.
• This is known as the 'Tea shower' in Assam.
• In West Bengal, it is called Kalbaishakh.

The correct answer is "Punjab, Tamil Nadu, and Andhra Pradesh".

Key Points 

• HYVs are High Yielding Variety of seeds that produces a large number of crops.
• These kinds of seeds require a large amount of water, fertilizers, and other substances.
• Well-developed irrigation facilities and financial resources are required to grow these seeds.
• So, in the first phase of the green revolution, the use of HYV seeds was restricted to the more affluent states - Punjab, Tamil Nadu, and Andhra Pradesh.

Additional Information

• The Green Revolution began in the 1960s.
• During this period, the agriculture of India was converted into a modern system through the adoption of technology.
• This was the third agricultural revolution.
• In this era, farmers started using high-yielding varieties of cereals, the use of pesticides increased and other ways of irrigation were used.

The correct answer is "Mohiniyattam".

Key Points

• Sunanda Nair is an Indian dancer who performs Mohiniyattam, a dance form.
• She was the first student to earn a master's degree in Mohiniattam.
• She was awarded Global Mannam Award, Nrithya Seva Mani Award, and many others.
• She is an icon in her field.

Additional Information

• India has two types of dance forms-
• Classical
• Folk
• Classical dance form originated from Natya Shastra. There are eight classical dance forms in India:
• Bharatnatyam
• Kathak
• Kuchipudi
• Odissi
• Kathakali
• Sattriya
• Manipuri
• Mohiniyattam
• Folk dances are performed in respective communities. Every community or state has its own folk dance.

The correct answer is "Plateau".

Key Points

• Plateau is an area having raised land that is flat on the top.
• These are formed when Magma located deep inside the earth pushes the surface but fails to break through the crust.
• There are two types of plateaus - Dissected plateau and Volcanic plateau.
• Some of the famous plateaus are - Deccan plateau, Chotanagpur plateau, Tibetan plateau, etc.

Additional Information

• Hill -
• Hill is a type of landform that is higher than the surrounding area.
• Hills are not as high as mountains.
• ​​​Mountain -
• It is an elevated part of the earth having steep sides.
• These are formed through tectonic forces or volcanism.
• The highest mountain on earth is Mount Everest.
• ​Valley -
• It is a land between a mountain and a hill.
• These typically contain a river or stream running through them.

Given:

97 × 103 =?

Calculations:

According to the question,

⇒ 97 × 103 = 9991

∴ The value of 97 × 103 is 9991.

Alternate Method(a - b)(a + b) = (a² - b²)

97 × 103 = (100 - 3)(100 + 3) = 100² - 3² = 10000 - 9 = 9991

Given:

The simple interest received on a sum is 25/36 of the sum.

The number of years is equal to the annual rate of interest

Formula used:

SI = (P × R × T)/100

Calculations:

Let the sum value be x, then SI will be:

SI = (x × R × T)/100

⇒ (25/36)x = (x × R²)/100

⇒ 25/36 = R2/100

Squaring both sides,

⇒ 5/6 = R/10

⇒ R = 0.833 × 10 = 8.33%

∴ The annual rate of interest is 8.33%.

Given:

Registered voters for P supporters= 70%

60% of the P supporters and 30% of the Q supporters are expected to vote for candidate P.

Concept used:

Let total voters be 1000

Then 700 are P supporters and 300 are Q supporters

 Total votes to P

⇒ 60% of 700 + 30% of 300

⇒ 420 + 90

⇒ 510

Percentage of P voters

⇒ 510 × 100/1000

⇒ 51 %

Hence, The Required value is 51%.

Given: 

The length of a certain rectangle is decreased by 4 cm and the breadth is increased by 2 cm, 

It would result in a square of the same area 

Concept used: 

Area of rectangle = L × B 

Area of square = Side × Side 

Perimeter of rectangle = 2(L + B)

Calculations: 

Let length be L and breadth be B, 

Since the sides of the square are equal, 

⇒ L − 4 = B + 2  ...........(1) 

⇒ L = B + 6 

The area of the rectangle is equal to the area of the square, 

L × B = (L - 4)(B + 2) 

⇒ (B + 6)(B) = (B + 6 - 4)(B + 2)  

⇒ B² + 6B = (B + 2)²  

⇒ B2 + 6B = B² + 4B + 4

⇒ 6B = 4B + 4  

⇒ 2B = 4

⇒ B = 2 cm

then form (1) we get,

⇒ L - 4 = B + 2

⇒ L - 4 = 2 + 2

⇒ L = 4 + 4 = 8 cm

Now the Perimeter of the rectangle,

⇒ P = 2(8 + 2)

⇒ P = 2(10) = 20 cm

∴ The perimeter of the original rectangle is 20 cm.

Given:

The value of x12 + x9 + x6 + x3 + 1

if x + (1/x) = 1

x² + 1 = x

x² - x + 1 = 0

(x + 1)(x2 - x + 1) = 0 (x + 1)

(x3 + 1³) = 0

x3 = -1

Formula used:

x + 1/x = 1 then x³ = -1

Calculation:

According to the question,

x12 + x9 + x6 + x3 + 1

⇒ (x³)⁴ + (x³)³ + (x³)² + (x3) + 1

⇒ (−1)⁴ + (-1)³ + (-1)² + (-1) + 1 

⇒ 1 - 1 + 1  - 1 + 1

⇒ 3 - 2 = 1

∴ The value of x12 + x9 + x6 + x3 + 1 is 1.

Given:

The midpoints of AB and AC of a △ABC are X and Y, respectively.

If BC + XY = 24 units 

Concept used:

Mid points of a triangle forming a quadrilateral with triangle is half of the base of triangle

Calculations:

According to the question,

BC + XY = 24 ..........(1)

Since XY = 1/2 of BC,

⇒ 1/2BC + BC = 24

⇒ 3BC = 24 × 2

⇒ 3BC = 48

⇒ BC = 16 units

From Eq. (1) we get,

⇒ 16 + XY = 24

⇒ XY = 8 units

Now accordingly,

⇒ BC - XY = 16 - 8 = 8 units

∴ The value of BC - XY is 8 units.

Given:

Score in physics= 8

Score in Chemistry= 8

Score in Biology= 6

Score in Interview= 6.5

Weightage assigned to Sonali in Physics, Chemistry, Biology and Interview= 2,3,3,4

Concept used:

Weighted average = ∑ (Score × Weightage)/∑ Weightage

Calculation:

Weighted average

= (2 × 8 + 3 × 8 + 3 × 6 + 4 × 6.5)/(2 + 3 + 3 + 4)

= (16 + 24 + 18 + 26)/(12) 

= 84/12

= 7

∴ The Required value is 7.

Given:

The given pie-chart represents the survey report on the favourite games of a group of young people.

If a total of 4980 persons were surveyed

Calculations:

According to the question,

Football is favourite of 30% of total people surveyed = 30% of 4980

⇒ 30% × 4980 

⇒ 0.30 × 4980 = 1494

∴ 1494 said football is their favorite game.

Given:

The greatest number that will divide 49, 147 and 322 to leave the same remainder in each case

Concept used:

We must now identify differences between the provided numbers.

When two numbers are divided by another number and have the same remaining, their difference must produce a remainder of zero.

Calculations:

According to the question,

The differences will be,

⇒ 147 - 49 = 98

⇒ 322 - 147 = 175

⇒ 322 - 49 = 273

The set of numbers {98,175,273}

Now HCF of {98,175,273}

⇒ 98 = 7 × 7 × 2

⇒ 175 = 5 × 5 × 7

⇒ 273 = 13 × 7 × 3

The HCF of {98,175,273} is 7

∴ The same remainder in each case is 7.

Given:

b sin θ= a

Concept used:

sinθ = Perpendicular/ Hypotenuse

secθ = Hypotenuse/ Base

tanθ = Perpendicular/ Base

Calculation:

bsinθ = a

sinθ = a/b

So, Perpendicular = a &  Hypotenuse = b

(Hypotenuse)² = (Perpendicular)² + (Base)²

b² = a²+ Base²

base² = b²- a²

$base = {√{b^2-a^2} }$

secθ = Hypotenuse/ base= b/${ √{b^2-a^2} }$

tanθ= perpendicular/ base= a/${ √{b^2-a^2} }$

So, secθ+ tanθ = b/${ √{b^2-a^2} }$+ (a/${ √{b^2-a^2} }$)

secθ + tanθ = (b+ a)/(${ √{b^2-a^2} }$)

∵ (b + a) = √(b + a) × √(b + a)  

⇒ secθ + tanθ = ${√{(b+a)(b+a)} }$/ ${ √{(b-a)(b+a)} }$

secθ+ tanθ= $√ {\frac{{b + a}}{{b - a}}}$

Calculations:

According to the question,

c² = ab

where c is the mean proportional of a and b

Now, the mean proportion of a²c and b²c 

⇒ $\bf \sqrt {b²c \times a²c}$

⇒ a.b.c

⇒ c² × c

⇒ c³

Hence, The Required value is c³.

Given:

Radius = 4 cm

Angle = 30°

Concept used: 

Area = πr² θ/360° 

Calculation: 

Area = πr² θ/360°

⇒ 3.14 x 4² x $30\over360$

⇒ 3.14 x $4\over3$

⇒ 4.186 cm²

∴ The area of the sector of a circle with radius 4 cm and angle 30° is 4.186 cm²

Concept used: 

sin(90 - θ) = cosθ 

Calculation: 

⇒ $\dfrac{{\cos 20^\circ }}{{\sin 70^\circ }}$ = $\dfrac{{\sin(90^\circ-20^\circ) }}{{\sin 70^\circ }}$ = 1

⇒ $\dfrac{{\cos\theta }}{{{\rm{sin}}\left( {90^\circ - \theta } \right)}}$ = $\dfrac{{\cos\theta }}{{{\cos\theta}}}$ = 1

⇒ 1 + 1 = 2

∴ The correct option is 2.

Given:

A boat racer can row 21$\frac{3}{2}$ km/h in still water.

The speed of the river is 12.5 km/hr, it takes him 40 minutes to row to a place and back.

Calculations:

Let the distance be x, then,

Upstream speed

⇒  21$\frac{3}{2}$ km/h - 12.5 km/h

⇒ 22.5 - 12.5

⇒ 10 km/h

Downstream speed 

= 22.5 km/h + 12.5 km/h

= 35 km/h

According to the question,

x/10 + x/35 = 40/60

⇒x(1/10 + 1/35) = 2/3

⇒x(45/350) = 2/3

⇒x = 2 × 70 / 3 × 9

⇒x = 5$\frac{5}{27}$ km

Hence , The Required value is 5$\frac{5}{27}$ km.

Given:

Bar diagram

Concept used: 

Average = Sum of observation / Number of observations

Calculation:

Sum of observation = (20 + 15 + 25) + (25 + 20 + 15) + (15 + 10 + 20) + (10 + 25 + 5)

⇒ 205

Total Number of observations = 4

Average = 205/4 = 51.25

∴ The average of sim-card sold in the four States/UT in lakhs is 51.25

Given:

The radius of a solid hemisphere is 21 cm.

The ratio of the cylinder's curved surface area to its Total surface area is 2/5.

Formula used:

The curved surface area of the cylinder = 2πRh

The total surface area of cylinder = 2πR(R + h)

The volume of the cylinder = πR²h

The volume of the solid hemisphere = 2/3πr³ 

(where r is the radius of a solid hemisphere and R is the radius of a cylinder)

Calculations:

According to the question,

CSA/TSA = 2/5

⇒ [2πRh]/[2πR(R + h)] = 2/5

⇒ h/(R + h) = 2/5

⇒ 5h = 2R + 2h

⇒ h = (2/3)R .......(1)

The cylinder's volume and the volume of a solid hemisphere are equal.

⇒ πR²h = (2/3)πr³

⇒ R2 × (2/3)R = (2/3) × (21)³

⇒ R³ = (21)3

⇒ R = 21 cm

∴ The radius (in cm) of its base is 21 cm.

Given:

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively.

Calculation:

Total work = LCM(11, 20 and 55) = 220

Efficiency of A = 220/11 = 20

Efficiency of B = 220/20 = 11

Efficiency of C = 220/55 = 4

1st day work = (20 + 11) = 31

2nd day work = (11 + 4) = 15

2 days work = 31 + 15 = 46

Total pairs of days required to work

⇒ 220/46

⇒ 4 + 36/46

So, 4 × 2 = 8 days and remaining work =  36

On next day 31 of 36 will be done and rest 5 will be done on 10th day 

5/15 = 1/3

So total days = 9 + 1/3

∴ Total days required = 9 + 1/3 days.

Concept used:

Euclid's Division Lemma, Dividend= Divisor (Quotient)+ Remainder 

Calculation:

Number= n

So, by Euclid's Division Lemma

n= 6q+ 3  

Also, (n2 + 5n + 8) when divided by 6 leaves a remainder, say r.

Therefore, (n2 + 5n + 8)

(6q+3)² + 5(6q+3) +8

36q²+ 9+ 36q+ 30q+ 15+ 8

36q²+ 66q+ 32

Now, consider each of the terms above separately to see what the remainder is when they are divided by 6.

36q² is divisible by 6 as 6 is divisible by 6. Hence, remainder is 0.

66q is divisible by 6 as 66 is division by 6. Hence, remainder is 0.

32 when divided by 6 leaves a remainder 2.

Hence, remainder for (n2 + 5n + 8) is 2.

Concept used:

sin3θ = 3sinθ  - 4 sin3θ

Calculation:

sin 10°- $\dfrac{4}{3}$ sin3 10°

⇒ $\dfrac{\text{3 Sin10 - 4Sin}^310}{3}$

⇒ $\dfrac{\text{Sin3(10)}}{3}$ = 

⇒ $\dfrac{\text{Sin30}}{3}$ = $\dfrac{1}{2}$ × $\dfrac{1}{3}$ = $\dfrac{1}{6}$

sin 10°- $\dfrac{4}{3}$sin3 10°= $\dfrac{1}{6}$

Given:

Successive discounts of 18% and 22% 

Concept used: 

Single Discount = D1 + D2 - (D1D2)/100

D1 & D2 are two successive discounts.

Calculation:

Single Discount = 18 + 22 - $\dfrac{18\times22}{100}$

⇒ 40 - 3.96

⇒ 36.04%

∴ Successive discounts of 18% and 22% are equal to a single discount of 36.04%.

Given:

AD is the median of triangle ABC.

P is the centroid of triangle ABC. If AP = 14 cm

Concept used:

The centroid of the triangle divides each of its median in the ratio 2:1.

Calculation

AP/PD= 2/1

14/ PD= 2/1

PD= 14/2

PD= 7cm

Given:

The selling price of the mobile = Rs 4675

Loss percentage = 15%

New selling price= Rs 6050

Concept used:

Profit= SP-CP

Profit%= (SP-CP)/CP * 100

Loss%= (CP-SP)/SP* 100

Calculation:

According to the question,

85% of CP = 4675

⇒ CP = 4675/0.85

⇒ CP = 5500

If he sold it for Rs. 6050, then,

Gain %

⇒ (6050 - 5500)× 100/5500

⇒= 550 × 100/5500

⇒ 10%

Hence, The required Profit%= 10%.

Given:

No. of students in mathematics= 45

No. of students in Physics = 60

No. of students in History = 30

No. of students in Hindi = 65

No. of students in Sanskrit = 45

Concept used:

Average formula= total sum of students all numbers/ total no. of items in the list

Calculation:

Total sum of students all numbers= 45 + 60 + 30 + 65 + 45 = 245

Total no. of items in the list= 5

Average= 245/5

Average= 49

Given:

A wire in the form of square with side= 11 cm

It is bent to form a circle.

Concept used:

Perimeter of square= 4 × side

Circumference of circle= 2πr

Calculation:

Side of square= 11cm

Perimeter of square= 4 × 11= 44cm

Perimeter of square= Circumference of circle

44= 2πr

⇒ 44=  2 × 22/7 × r

⇒ r = 7cm

∴ Option 4 is the correct answer.

Given:

Production of company A = 30

Production of company B = 50

Production of company C = 32

Production of company D = 15

Production of company E = 25

Concept used:

Ratio and proportion= a : b = c : d

Calculation:

Production of company A= 30

Production of company E= 25

Ratio of Production of company A to ratio of Production of company E = 30 : 25

A : E = 6 : 5

The correct answer is will have reached the hotel.

Key Points

• I will have reached the hotel, by the time you call me- the sentence is in the future perfect tense.
• The future perfect tense is used to indicate the completion of an action by a certain time in the future**.**
• When we say that an action will be completed within a certain period of time in the future or between two actions one action will be completed before the other, that means it is future perfect tense.
• Also, between two actions, the one which will be completed before the other action, we use future perfect tense in that case, and for the action that will be completed afterward, we use the simple present tense of the verb there.
• Example- I shall have done the work before my father comes.
• So, here in the sentence, the work that will be completed after is in the simple present tense- "by the time you call me." and the action that will be completed before should be in the future perfect tense- "I will have reached the hotel."

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Correct Sentence: I will have reached the hotel, by the time you call me.

The correct answer is Aged.

Key Points

• Here, among the other options, Aged is synonymous with old.
• Old (adjective) means age or of a particular age. It also means not young, or have lived for a long time.
• Example- The old man is sitting on the couch.
• Contemporary(adjective) means belonging to the same time.
• Example- He was a contemporary with a famous scientist.
• Recent (adjective) means which happened or began only a short time ago.
• Example- In recent times there has been an increase in the usage of social media.
• ​Vernal ( adjective) means connected with the season of spring. In a poetic sense, it can be used as a characteristic of youth.
• Example- Green symbolizes simplicity and vernal productivity.

Additional Information

• Synonym means one of two or more words or phrases in the same language that mean the same thing or almost the same thing.
• Example- Bad- awful, terrible, horrible
• Hard- difficult, tough
• Big- large, huge, giant

The correct answer s Weakened.

Key Points

• Consolidate (verb)- When you consolidate something, such as power or success, you strengthen it, making it more effective or secure. (दृढ़ करना, मजबूत बनाना, संगठित करना)
• • Example- With this new agenda, he has consolidated his position as the country's leading politician.
• Here, the opposite meaning of consolidated is weakened.
• Weaken (verb)- make or become weaker in power, resolve, or physical strength. (निर्बल करना,शिथिल होना, कमजोर होना या बनना)  
• Example - Fault lines had weakened and shattered the rocks.
• Thus, the correct answer is Option 1.

Additional Information

• Devised- Devise (Verb) means to invent something new or a new way of doing something. (ईजाद करना, आविष्कार करना)
• Example- A new system has been devised by the company for the benefit of the employees.
• Strengthened-  Strengthen (Verb) means to become stronger, or to make something or somebody stronger. (मजबूत करना,शक्तिशाली बनना,दृढ़ करना)
• • Example- Repairs are necessary to strengthen the overbridge.
• Formulated- Formulate (Verb) means to create or prepare something carefully or give particular attention to the details.(निरूपित करना,सुविन्यस्त करना,प्रतिपादित करना)
• • Example- The new floor cleaner is formulated especially for wooden floors.