RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 1) (Previous Year Paper)

The correct answer is right to education.

Key Points

• Right to Education 
• The Eighty-sixth Amendment to the Indian Constitution guarantees the right to early childhood care until the age of six and the right to education for children aged six to fourteen.
• It has replaced Article 45 (Early Childhood Education) of the Directive principles of State policy and has inserted Article 21A (Right to Education as a Fundamental Right) below Article 21.
• It amended Article 51A (Fundamental Duties) to add a new duty of parents to provide education to their child between the ages of six and fourteen years.
• Article 21A states that “The State shall provide free and compulsory education to all children of the age of six to fourteen years in such manner as the State may, by law, determine."

Additional Information

• However, this right was finally implemented in 2010 after eight years.
• India joined a select group of nations on April 2, 2010, when a historic law declaring every child's right to education went into effect.
• The implementation of this was announced by former Prime Minister Manmohan Singh.
• Article 45 was replaced as “The State shall endeavour to provide early childhood care and education for all children until they complete the age of six years.”
• Article 51A states that “who is a parent or guardian to provide opportunities for education to his child or, as the case may be, ward between the age of  six and fourteen years.”

The correct answer is Ring topology.

Key Points

• Ring network topology
• The physical and logical configuration of a network's nodes and links is known as its network topology.
• Devices like switches, routers, and software with switch and router functionality are typically included in nodes.
• A graph is a common way to represent network topologies.
• When two computers are joined to create a ring, the topology is known as a ring topology.
• The nodes are linked together in a closed-loop manner in the ring network topology. T
• The message passing is circular and unidirectional.
• Dual Ring Topology is another way to make it bidirectional by adding two connections between each Network Node.
• This topology primarily utilises a token-based system, and each token moves in a single direction in a loop.

Additional Information

• If a token is available in a ring topology, the node can take it, attach the data, and the destination address, and then leave the token for communication.
• The data is taken out by the receiver when this token reaches the destination node, freeing it up to carry the subsequent data.
• The most common type of ring network is a metro network, which is based on Synchronous Optical Network technology.
• Network topologies explain how networks are set up and where traffic flows are located in relation to one another.
• The diagrams can be used by administrators to decide where each node should be located and the best path for traffic flow.

Given:

Average value (A) = 23

Formula used:

Average value =  (Sum total number of values)/(Total number of values)

Calculations: 

23 = (29.75 + 18.25 + N)/3

⇒ 69 = 48 + N

⇒ N = 69 - 48 = 21

∴ The value of N is 21.

Given:

The sum of LCM and HCF of 28 and 49 = ?

Calculations:

 

⇒ LCM = 2 × 2 × 7 × 7 = 196

Now, HCF of 28 and 49

 

 

⇒ HCF of 28 = 2 × 2 × 7

⇒ HCF of 49 = 7 × 7

⇒ HCF of 28 and 49 is 7.

According to the question,

⇒ LCM + HCF = 196 + 7 = 203.

∴ The sum of LCM and HCF of 28 and 49 is 203.

The correct answer is Harsha.

Key Points

• Aihole inscription
• During Pulakeshi II's rule, poet Ravikirti created the Aihole inscription.
• Aihole, which is in the state of Karnataka, is well known as the birthplace of Indian architecture.
• It served as the Chalukyas' capital.
• This inscription details Pulakesin's achievements, particularly how he fought Harshavardhana.
• Harshavardhana was defeated by Pulakeshin II, the King of the Chalukya dynasty when he attempted to expand his Empire towards the southern peninsula of India.
• On the banks of the River Narmada, Pulakesin II had beaten Harshavardhan in 618 AD.

Additional Information

• In the construction of structure temples, the Chalukyan developed the Deccan or Vesara style in the buildings.
• They mastered the technique for stone construction, which involves joining stones carefully without mortar.
• Aihole provides important details on the early history of the Badami Chalukyas up until 634 AD, as well as the birth and death dates of the poets Kalidasa and Bharavi.
• It is highly commendable to the poet named Ravikirti who wrote the song.
• Its final verse is crucial to the history of Sanskrit literature.
• It states that Ravikirti, the record's author, has achieved the fame of Kalidasa and Bharavi through his poetic talent.

Option 2 is the correct answer.

The pattern followed here is as follows:

MORE is written as LNQD

And,

STOP is written as RSNO

Similarly,

TOY be written as '?'

Hence, the correct answer is "SNX".

The correct answer is Durga Puja.

Key Points

• The Intergovernmental Committee for the Safeguarding of the Intangible Cultural Heritage has inscribed ‘Durga Puja in Kolkata’ on the Representative List of the Intangible Cultural Heritage of Humanity.
• The decision came during the 16th session, taking place virtually from 13 to 18 December 2021.
• In total, 14 Intangible Cultural Heritage elements from the country have now been inscribed on UNESCO’s Representative List.

Additional Information What is Intangible Cultural Heritage?

• According to unesco.org, cultural heritage does not end at monuments and collections of objects.
• It also includes traditions or living expressions inherited from our ancestors and passed on to our descendants, such as oral traditions, performing arts, social practices, rituals, festive events, and knowledge.
• UNESCO intends to enhance the “visibility of communities’ cultural practices and know-how”, aiming to “safeguard the intangible cultural heritage of communities globally”.

Let us first decode the given symbols and then draw a family tree.

 

Preparing the family tree using the following symbols :

A possible tree diagram will be :

Given: L $ Q = B # D @ E $ O

Clearly, E is the daughter- in- law of L .

Hence, the correct answer is "Daughter-in-law".

The correct answer is Canada.

Key Points

Wheat production in Canada

• Canada was not among the top four producers of wheat in the world, according to Food and Agricultural Organization, in 2020.
• In 2020, wheat production for Canada was 35,183 thousand tonnes.
• Canada is the fifth largest wheat producer in the world.

Additional Information

Top 4 producers of wheat in the world

• In 2020, wheat production for China was 134,250 thousand tonnes.
• Wheat production in China increased from 32,575 thousand tonnes in 1971 to 134,250 thousand tonnes in 2020.
• It is the first largest wheat producer in the world.
• Wheat production in India is estimated to increase to a record 109.52 million tonnes in 2020-21.
• India is the second largest wheat producer in the world.
• Wheat production in Russia in 2020-21 was put at 84.5 million
• Russia is the third largest wheat producer in the world.
• In 2020, wheat production for the United States of America was 49,691 thousand tonnes.
• US is the fourth largest wheat producer in the world.

EXPLANATION : 

The position of letters according to the English alphabet series:

Let us go through the options -

Option 1) HFM

The pattern followed here is:

Option 2) DBI

The pattern followed here is:

The pattern followed here is:

Option 3) SQX

 

The pattern followed here is:

Option 4) JGO

The pattern followed in option 4 JGO is different from the others.

Hence, the correct answer is "Option 4".

The correct answer is Megasthenes.

Key Points

• Megasthenes was an ancient Greek historian, diplomat and Indian ethnographer and explorer in the Hellenistic period.
• He described India in his book Indica.
• In the book, he records his impressions of India of the Mauryan period.
• It shows us the rich culture and economy of India.
• It also helps us to understand the administration, diverse culture, and philosophy of Ancient Indian people.
• The book is now lost but has been partially reconstructed from literary fragments found in later authors that quoted his work.

Additional Information

• Indica helps us to know about the geography of India.
• It helps us to construct a map of India.
• Megasthenes’ Indica gives the name used by the people of India and by the Greek people.
• Indica gives an account of the region of Gangaridai and the huge for of elephants, which made the Gangaridai unconquered by any foreign king.

The correct answer is 330.

Key Points

Article 330

• ​Article 330 of the Indian Constitution provides for the reservation of seats for Scheduled Castes and Scheduled Tribes in the House of the People.
• Seats shall be reserved in the House of the People for
• the Scheduled Castes.
• the Scheduled Tribes except for the Scheduled Tribes in the autonomous districts of Assam.
• the Scheduled Tribes in the autonomous districts of Assam.

Additional Information

• Article 46 states that "The State shall promote with special care the educational and economic interests of the weaker sections of the people, and, in particular, of the Scheduled Castes and the Scheduled Tribes, and shall protect them from social injustice and all forms of exploitation."
• Article 332 of the Constitution of India provides for reservation of seats for the Scheduled Castes and the Scheduled Tribes in the Legislative Assemblies of the States.
• Article 335 "The claims of the members of the Scheduled Castes and the Scheduled Tribes shall be taken into consideration, consistently with the maintenance of efficiency of administration, in the making of appointments to services and posts in connection with • the affairs of the Union or of a State."

The correct answer is the law of variable proportions.

Key Points

• The short-run marginal cost curve is U-shaped in the short-run due to the operation of the "law of variable proportions".
• According to the law, the MC curve initially slopes downward till it reaches its minimum point and thereafter, it starts rising.
• Therefore, it leads to a U-shape of the curve when presented graphically.

Additional Information

• A marginal cost curve is a curve that graphically represents the relation between the marginal cost incurred by a firm in the short-run product of a good or service and the quantity of output produced.
• This curve is constructed to capture the relation between marginal cost and the level of output, holding other variables like technology and resource prices constant.
• Three related curves are the average total cost curve, average variable cost curve, and average fixed cost curve.

The correct answer is Lake Ontario.

Key Points

• The Niagara River is a connecting channel between two Great Lakes, Erie and Ontario.
• It drains the water from Lake Erie into Lake Ontario.
• Water from Lake Erie flows uncontrolled* through the Niagara River and Welland Canal into Lake Ontario.

Additional Information

• Niagara Falls is a group of three waterfalls at the southern end of Niagara Gorge.
• The three waterfalls are Horseshoe falls, American falls and Bridal Veil Falls.
• The largest of the three is Horseshoe Falls, which straddles the international border of the two countries.
• It is also known as the Canadian Falls.
• The smaller American Falls and Bridal Veil Falls lie within the United States.
• Bridal Veil Falls is separated from Horseshoe Falls by Goat Island and from American Falls by Luna Island, with both islands situated in New York.

The position of letters according to the English alphabet series:

EXPLANATION: 

The pattern followed here is:

 

So the sixth letter cluster will be: 

Hence, the correct answer is option 3 "QRVG".

The correct answer is Strikethrough.

Key Points

• Strikethrough is a font effect that causes text to appear as though it is crossed out.
• Strikethrough is primarily used to mark text that is mistaken or to be removed.
• To  apply Strikethrough:
• Select the text you want to strikethrough.
• Press Ctrl + D. The Font dialogue box appears.
• Press Alt + K to select Strikethrough (note that k is the underlined letter).
• Press Enter.

Additional Information

• A superscript or subscript is a number, figure, symbol, or indicator that is smaller than the normal line of type and is set slightly above it (superscript) or below it.
• Pagination is the process of separating print or digital content into discrete pages.
• An underline is a section of text in a document where the words have a line running beneath them

The correct answer is 25%.

Key Points

• Defence R&D will be opened up for industry, startups and academia with 25% of the defence R&D budget earmarked.
• Private industry will be encouraged to take up the design and development of military platforms and equipment.
• It will be in the collaboration with DRDO and other organizations through the SPV model.

Additional Information

Union Budget 2022-23

• The Budget goals for FY2022-23 aim to further India's aspirations in Amrit Kaal, as it moves towards its 100th-year post-independence.
• Focus on growth and all-inclusive welfare.
• Promoting technology-enabled development, energy transition and climate action.
• Virtuous cycle starts from private investment, crowded in by public capital investment.
• The Union Budget for FY 2022-23 this year aims to strengthen the infrastructure with its focus on four priorities of:
• PM GatiShakti
• Inclusive Development
• Productivity Enhancement & Investment, Sunrise opportunities, Energy Transition, and Climate Action
• Financing of investments

The correct answer is Meghalaya.

Key PointsJaintia

• Jaintia in Meghalaya can be traced in the Jaintia hills.
• It is extended from the east of the Shillong Plateau of present-day Meghalaya to the Barak River valley in Assam.
• Jaintia, like Khasis, belongs to the Proto Autroloid Monkhmer race.
• Jaintia along with Khasis, Wars and Pnars are known as Hynniewtrep.

Additional Information

• The three major tribes found in Meghalaya are the Khasis, Jaintias and Garos.
• Besides, there are also other minor tribes living in the State namely, the Rabhas, Boros, Hajongs and Koches in the plain areas of Garo Hills.
• The Khasis and Garos are the two largest tribal groups constituting 56% and 34% respectively of the scheduled tribes (ST) in Meghalaya.
• The Jaintias are listed as a sub-tribe under the Khasis, and constitute about 1% of the tribal population.

The correct answer is Majuli Island.

Key Points

• Majuli means land in the midst of two rivers.
• Majuli river island is located in the Brahmaputra River in India.
• It is a non-coastal landmass.
• It is recognized by the Guinness Book of World Records as the world's largest inhabited riverine island, at 880 square kilometres.

Additional Information

• Bhavani Island is 133 acres of land expanse located on River Krishna.
• It is one of the largest river islands of the Krishna river.
• Quibble Island is a river island in the city of Chennai, Tamil Nadu, India.
• It is formed by the encirclement of the Adyar River and one of its tributaries.
• Nongkhnum River Island is the biggest river island in Meghalaya and the second biggest river island in Asia.
• It is located at a distance of about 14 Km from the headquarter of the District, Nongstoin.

EXPLANATION: 

1. B buys only one drink, which is a cold drink

2. Four of them each buy a cup of coffee.

3.B and D do not buy tea as all the others do

4. Only A and E do not buy ice-tea.

Clearly, C buy the three drinks.

Hence, the correct answer is "C".

The correct answer is NASA 

Key Points

• NASA's Double Asteroid Redirection Test (DART), the world's first full-scale mission to test technology for defending Earth against potential asteroid or comet hazards.
• Launched from Space Launch Complex 4 East at Vandenberg Space Force Base in California.
• DART is the first-ever mission dedicated to investigating and demonstrating one method of asteroid deflection by changing an asteroid's motion in space through kinetic impact.
• DART is a joint project between NASA and the Johns Hopkins Applied Physics Laboratory (APL).

Additional Information

• Headquater of Roscosmos - Moscow.
• Its launch facilities include Baikonur Cosmodrome in Kazakhstan, the world's first and largest spaceport, and Vtochny Cosmodrome, which is being built in the Russian Far East in Amur Oblast.
• The launch of Chandrayaan-3 is planned for August 2022.
• On July 22, 2019, Chandrayaan-2's rocket successfully lifted off with the Vikram Lander and Pragyan rover housed in it.
• ISRO built India's first satellite, Aryabhata, which was launched by the Soviet Union in 1975.
• JAXA
• JAXA was formed on 1 October 2003.
• It  is responsible for research, technology development, and the launch of a satellite into orbit and is involved in many more advanced missions such as asteroid exploration and possible human exploration of the moon.

The  correct answer is Natak Natak me Vigyan.

Key Points

• The Sahitya Akademi announces 22 winner in this category.
• Hindi writer Devendra Mewari won the award for his play titled "Natak Natak me Vigyan".
• Megha Majumdar won the Yuva Puraskar for her debut novel "A Burning" and Himanshu Vajpai won it for his collection of short stories titled "Kissa Kissa Lucknowa -- Lucknow Ke Awami Kisse".

Additional Information

• It is to be noted that the Yuva Puraskar for Tamil will be declared at a later date and there will be no award in Rajasthani this year.
• Anita Vachharajani has been named as the recipient of the Bal Sahitya Puraskar 2021 for the biography "Amrita Sher-Gil: Rebel with a Paintbrush".

The correct answer is The US.

Key Points

• USA followed by UAE and China remained the top export destinations in April-November, 2021, while China, UAE and , the USA were the largest import sources for India.
• The United States was the largest export destination for Indian exports in fiscal the l year 2021, accounting for nearly 17 percent. China followed at over seven percent of India's exports that same year.

Additional Information

• The UAE is one of India's key energy providers and remains committed to meeting India's growing energy demand and is proud to have been the first international partner to invest by way of crude oil in India's Strategic Petroleum Reserves Program.
• India and Singapore have signed the Comprehensive Economic and Cooperation agreement (CECA) and strategic-relationship agreement in order to increase trade, investments, and economic cooperation, and expanded bilateral cooperation on maritime security training forces, joint naval exercises, developing of military technology and fighting terrorism.
• China has remained a dominant trade partner of India for a long despite the widespread concerns over the ballooning trade deficit every year.

The correct answer is Aquaculture Scientist.

Key Points

• Dr.Subbanna Ayyappan from Karnataka has been conferred the Padma Shri in science and engineering.
• He is an aquaculture scientist who is playing a key role in powering India's Blue revolution.
• He is a former director of the Indian Council of Agricultural Research and the chancellor of the Central Agricultural University in Imphal.
• He has published research papers on fisheries, limnology, and aquatic microbiology.

Additional Information

• Pushpa Mittra Bhargava founded the Centre for cellular and molecular biology a federally funded research institute, in Hyderabad.
• Shivram Baburao Bhoje a distinguished Indian nuclear scientist who worked in the field of fast-breeder nuclear reactor technology for forty years in the design, construction, operation, and research and development.
• Bhimsen Singhal has been selected for the Padma Shri award. Dr. Singhal is one of the most respected and eminent neurologists who has contributed significantly to the growth of neurology in India over the last 60 years

EXPLANATION:

 1. village A is located to the west of village B

 

2. village C is to the south of village A

3.  village D is to the east of village C

Hence the correct answer is South-east.

Shortcut Trick The equation is in the form tanθ + 3/tanθ = 2√3. By inspection, if tanθ = √3, then √3 + 3/√3 = √3 + √3 = 2√3. This satisfies the equation. For tanθ = √3, the angle θ = 60° (since 0° < θ < 90°). Value of cosec2θ = cosec2 60° = (2/√3)2 = 4/3. ∴ The correct answer is 4/3.

Alternate Method Given: tanθ + 3cotθ = 2√3 Formula Used: cotθ = 1/tanθ | cosec2θ = 1/sin2θ

⇒ tanθ + 3/tanθ = 2√3 ⇒ (tan2θ + 3) / tanθ = 2√3 ⇒ tan2θ − 2√3 tanθ + 3 = 0 ⇒ (tanθ − √3)2 = 0 ⇒ tanθ = √3 ⇒ θ = 60° ⇒ cosec2θ = cosec2 60° ⇒ cosec2 60° = (2/√3)2 = 4/3 ∴ The correct answer is 4/3.

Additional Information Trigonometric Reciprocals The fundamental reciprocal identities are cotθ = 1/tanθ, secθ = 1/cosθ, and cosecθ = 1/sinθ. Pythagorean Identities Relationship between trigonometric ratios: sin2θ + cos2θ = 1 and 1 + cot2θ = cosec2θ. Specific Values of θ For θ = 60°, tan 60° = √3, cot 60° = 1/√3, sin 60° = √3/2, and cosec 60° = 2/√3.

The correct answer is Sino-Tibetan.

Key Points

• It is the world's second-largest language family, with more than one billion speakers of its hundreds of different languages.
• It consists of 453 daughter languages and has around 1.268 billion speakers throughout Asia.
• It includes both the Sinitic languages (known as the Chinese dialects) and the Tibeto-Burman languages (such as Tibetan and Burmese).

Additional Information

• The third largest language family in the world and the largest in Africa is the Niger-Congo. It consists of 1,524 daughter languages and has around 437 million speakers throughout Africa.
• The Indo-European languages are a language family native to the overwhelming majority of Europe, the Iranian plateau, and the northern Indian subcontinent.
• The Austronesian peoples, sometimes referred to as Austronesian-speaking peoples, are a large group of peoples in Taiwan, Maritime Southeast Asia, Micronesia, coastal New Guinea, Island Melanesia, Polynesia, and Madagascar that speak Austronesian languages.

EXPLANATION: 

1.The sweater is orange in colour. The orange coloured item is made of wool

2. The coat is made of fur .

3.The gloves are yellow in colour.

3. The jacket is made of flannel and is neither black nor white in colour.

(It means the colour of jacket is red)

4.The gloves are are not made of flannel or taffeta.

(It means it is made up of Velvet)

Hence, the correct answer is "Gloves".

The position of letters according to the English alphabet series:

EXPLANATION: 

1st letter is increasing by + 1.

Code for vowel (2nd letter) = next vowel.

For example, code for A = E, code for E = I, code for I = O, and so on. So, code for U = A.

3rd letter is decreasing by - 1.

Now,

1) 'CUP' is coded as 'DAO' 

• C + 1 = D
• Code for U = A
• P - 1 = O

 2) 'RAN' is coded as "SEM"

• R + 1 = S
• Code for A = E
• N - 1 = M

So BAD will be coded as 

• B + 1 = C
• Code for A = E
• D - 1 = C

Hence the correct answer is option3. CEC .

Statements:

a) Some boxes are bags.

b) All pouches are bags.

Venn diagram:

Conclusions:

I. Some bags are boxes. → True (because some bags are boxes)

II. Some pouches are boxes → False (it is possible but not definite)

Hence, “Only conclusion I follows”.

Given: 

Six Friends: Falak, Charu, Sargun, Karan, Arav and Vaibhav

1.Falak is third to the right of Charu.

2. Charu is at the North end of the bench.

3.Arav is sitting to the immediate left of Falak.

Case 1:

Case 2:

 4.Vaibhav and Karan are sitting immediately next to each other.

 5.There are only two people sitting between Sargun and Karan.

so case 1.1, 2.1  and 2.2 gets cancelled.

Hence**. Karan** is the correct answer.

The correct answer is MR Lalith Babu.

Key Points

• Indian Grandmaster MR lalith babu won the Vergani cup chess tournament on the basis of better tie break score after he was tied with three others, including top seed Anton Korobov.
• His other wins came against Indian Woman GM Mary Ann Gomes, Max Hess (Germany), GM Lorenzo Lodici (Italy) and Amin Tabatatabaei (Iran).
• International Master Moksh Amit Doshi was the next best Indian after Lalith Babu and Bharath Subramaniyam, taking 17th place.

Additional Information

• About Vergani cup January 2022
• Organizer - Grandischacchi
• Federation - Italy (ITA)
• Number of Rounds - 9
• Tournament type - Swiss-System
• Tournament Director - G M Pier Luigi Basso

Shortcut Trick

In compound interest, the interest for the 3^rd year is the interest on the amount at the end of the 2^nd year.

Rate of Interest (R) = [(Amount in 3 years − Amount in 2 years) / Amount in 2 years] × 100

R = [(3327.5 − 3025) / 3025] × 100 = (302.5 / 3025) × 100 = 10%

Sum (P) = Amount / (1 + R/100)ⁿ = 3025 / (1.1)² = 3025 / 1.21 = ₹2,500

∴ The correct answer is Rs. 2,500 and 10%.

Alternate Method

Given:

Amount after 2 years (A₂) = Rs. 3,025

Amount after 3 years (A₃) = Rs. 3,327.5

Time period (n) = 2 and 3 years respectively.

Formula Used:

Amount (A) = P(1 + r/100)ⁿ

Calculations:

⇒ Interest for the 3^rd year = A₃ − A₂

⇒ Interest = 3327.5 − 3025 = Rs. 302.5

⇒ Rate of interest (r) = (Interest / Principal for that year) × 100

⇒ r = (302.5 / 3025) × 100 = 10%

⇒ Now, for A₂: 3025 = P(1 + 10/100)²

⇒ 3025 = P(11/10)²

⇒ 3025 = P × (121/100)

⇒ P = (3025 × 100) / 121

⇒ P = 25 × 100 = Rs. 2,500

∴ The correct answer is Rs. 2,500 and 10%.

Additional Information

Compound Interest Definition

Interest calculated on the initial principal and also on the accumulated interest of previous periods.

Successive Amounts Ratio

The ratio of amounts in successive years is constant: A_n+1 / A_n = (1 + r/100).

Difference between CI and SI

For 2 years: Difference = P(r/100)² | For 3 years: Difference = P(r/100)² × (3 + r/100).

Given: 

Radius (r) = 5 cm 

Height (h) = 12 cm 

Formula used:  

Total Surface area of cone (T.S.A.) = π × r (l + r) 

Where l → Slant height and r → Radius of the base

Concept used 

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

Where l → Hypotenuse, r → Base, and h → Perpendicular 

Calculation: 

By Pythagorean Theorem:

(l)² = (5)² + (12)² 

⇒ (l)² = 25 + 144 

⇒ L = √169 = 13 cm 

Now T.S.A.:  

T.S.A. = π × 5 × (13 + 5) 

⇒ T.S.A. = π × 5 × 18 

⇒ T.S.A. = 90π. 

∴ The T.S.A. of the cone is 90π.

EXPLANATION: 

Six colleagues: Raj, Shruti, Mayank, Preyesh, Viren and Ojas

1. Viren is taller than Raj. 

    Viren > Raj.

2. Mayank is taller than Viren.

   Mayank > Viren > Raj. 

3. Raj is not taller than Shruti. 

    Shruti > Raj.

4. Ojas has the same height has Preyesh, who is taller than Shruti.

     Ojas =  Preyesh > Shruti. 

 

From the above statement , we can say 

option 1. Shruti is shorter than Ojas is True.     [   Ojas =  Preyesh > Shruti. ]

Option 2. Ojas is taller than Raj is True.             [    Ojas =  Preyesh > Shruti. 

                                                                                    Shruti > Raj. ]

Option 4. Raj is shorter than Mayank is True.     [  Mayank > Viren > Raj.  ]

Option 3.  Viren is taller than Shruti is not True. [ cannot be determined ]

Hence, Viren is taller than Shruti is the correct answer.

Given that :

• .Rohit walked towards the West and took a turn at 45° in the clockwise direction.
• He again turned at 180° in the clockwise direction.
• .Lastly, he turned 270° in the anti-clockwise direction. ​

The diagram is given below:

Rohit is facing South-west direction at last.

Hence, "option 3" is the correct answer.

Shortcut Trick

Average Speed is defined as Total Distance divided by Total Time.

Total Distance (A to B + B to A) = Average Speed × Total Time

⇒ Total Distance = 68.3 × 4 = 273.2 km

Since the distance between A and B is exactly half of the round-trip distance:

Distance AB = 273.2 ÷ 2 = 136.6 km

∴ The correct answer is 136.6 km.

Alternate Method

Given:

Average Speed of the journey = 68.3 km/h

Total Time taken for the round trip = 4 hr

Formula Used:

Total Distance = Average Speed × Total Time

Distance (A to B) = Total Distance ÷ 2

Calculations:

⇒ Total distance covered by Ravi = 68.3 × 4

⇒ Total distance = 273.2 km

⇒ Let the distance between City A and City B be 'd'.

⇒ Total Distance = Distance(A→B) + Distance(B→A) = d + d = 2d

⇒ 2d = 273.2

⇒ d = 273.2 ÷ 2

⇒ d = 136.6 km

∴ The correct answer is 136.6 km.

Additional Information

Average Speed Formula

Average Speed = (Total Distance) ÷ (Total Time). It is not the simple arithmetic mean of speeds unless times are equal.

Harmonic Mean for Equal Distances

If a person travels equal distances at speeds v₁ and v₂, the average speed = (2 × v₁ × v₂) ÷ (v₁ + v₂).

Basic Relation

Distance = Speed × Time | Time = Distance ÷ Speed.

Correct answer is Hemu.

Key Points

• The Second Battle of Panipat was fought between the forces of Samrat Hem Chandra Vikramaditya, popularly called Hemu.
• Hemu was hindu king ruling North India from Delhi, and the army of Akbar, on November 5, 1556.
• It was a decisive victory for Akbar's generals Khan Zaman I and Bairam Khan.
• A total of three major wars were fought at Panipat, in the years 1526, 1556 and 1761.

Additional Information

• ​ The first Battle of Panipat, on 21 April 1526, was fought between the invading forces of Babur and the Lodi dynasty.
• The Third Battle of Panipat took place on 14 January 1761 between the Maratha Empire and the invading army of the Durrani Afghan Empire.

Correct answer is Xuan Zang (Hsuan Tsang).

Key Points

• Hiuen-Tsang visited India during Harshavardhana's rules.
• Huen Tsang or Xuanzang was a Chinese Buddhist Traveler who belongs to the early Tang times of China.
• He studied in Nalanda University.
• During his stay in India, he visited various places of northern and southern India.

Additional Information

• Fa Hien visited India in the early fifth century during the reign of Chandragupta II and entered here from the northwest and reached Pataliputra.​
• Marco Polo landed on the Coromandel Coast of India in AD 1292 after a two-year trip by sea across the Indian Ocean on his way home from China.
• Ibn Battuta, was a Berber Maghrebi scholar and explorer who travelled extensively in the lands of Afro-Eurasia.

The correct answer is Kerala.

Key Points

• Kerala has the highest sex ratio of 1084 females per 1000 males as per the census 2011.
• The sex ratio is used to define the number of females per 1000 males.
• Harayana has the lowest sex ratio in India of 877 females per 1000 males.
• Puducherry has the highest sex ratio of 1037 females and Daman and Diu has the lowest sex ratio of 618 females per 1000 males in the Union Territory of India.

Additional Information

• The sex ratio of India as per 2011 census of India.

The correct answer is Lakshadweep.

Key Points

• The Union Territory of Lakshadweep has the front of the most elevated wood with 90.33%. Among states, Mizoram has the front of the most elevated woods with 85.41%.
• Concerning the level of wood cover: Mizoram (85.41 percent) is the most timberland-rich state.
• The States/Union Territories showed a bigger expansion in backwoods cover in Karnataka followed by Andhra Pradesh, Kerala, and Jammu and Kashmir.
• Andaman and Nicobar island has the most extreme woods cover region among the Union domains in India. it has an 86.93% timberland cover region.
• On Other hand, Lakshadweep has zero percent woods cover region.
• Starting around 2021, the absolute woods cover in India is 713,789 sq km, which is 21.71 percent of the complete geological region.

Additional Information

• Lakshadweep is also known as a union territory of India.
• It is an archipelago of 36 islands in the Arabian sea, located 200 to 440 km (120 to 270 mi) off the Malabar Coast.
• Lakshadweep, formerly (1956–73) Laccadive, Minicoy, and Amindivi Islands, union territory of India.

The correct answer is Odisha.

Key Points

• Odisha comes out as the leading producing state accounting for about 65% of the total production throughout 2018-19 (Tables -2 to 5). Mine-head closing stocks of bauxite in 2018-19 were 19,658 thousand tonnes as a contrast to 18,072 thousand tonnes in the foregoing year.
• The chief bauxite belt is in Kalahandi and Koraput districts and expands further into Andhra Pradesh.
• Bauxite is a sedimentary rock with a fairly high aluminium content.
• It is the world's chief origin of aluminium and gallium.

Additional Information

• Gujarat is the big maker of major cash crop like cotton, groundnut, tobacco, cumin, sesamum, etc. in India.
• Rajasthan is the big maker of rapeseed, bajra, mustard and wool in India and the second big maker of oilseeds and spices and milk.
• Madhya Pradesh is the big maker of pulses.it accounts for 22.4% of total manufacture in the country.​

The pattern followed here is: 

67 + 4 = 71

71 + 8 = 79

79 + 12 = 91

91 + 16 = 107

107 + 20 = 127 

In the above series, multiple of 4 is added to each number in the increasing order.

Hence, the correct answer is "127".

According to the given information,

A consonant should be immediately preceded by a vowel.

Pattern = Vowel → Consonant

The consonants that are immediately preceded by a vowel are as shown below ,

(Left) H S % V ^ E R U : F J # S A U & G * G H @ D C ! I N O ? S  (Right)

For the following combinations, the condition is satisfied:

[E R], [I N]

Hence, the correct answer is "2".

Given:

Rate of interest (R) = 14.5% per annum 

Time period (T) = 6 years 

Amount (A) = Rs. 13464

Formula used:

A = P (1 + RT/100)

Calculations:

⇒ 13464 = P (1 + 14.5 × 6/100)

⇒ 13464 = P (1 + 0.145 × 6)

⇒ 13464 = P (1.87)

⇒ 13464/1.87 = P 

⇒ P = Rs. 7200

∴ The sum invested was Rs. 7200.

Additional InformationAdditional InformationThe correct answer is Haryana.

Key Points

• The Surajkund International Crafts Mela is a clasp in the Faridabad district in Haryana, which is just 8km from South Delhi.
• In 2022, the 35th Surajkund International Crafts Mela issue was 'Jammu & Kashmir,'. The state's local outcomes, art, delicacies, and cultural traditions were at the middle stage.
• The earliest Surajkund International Crafts Mela was clasp in the year 1987 through the spring season.
• The Surajkund International Crafts Mela is an impressive celebration that brings together craftsmen, artisans, cultural groups, and artists from all over India.

Additional Information

• The Allahabad Kumbh Mela, also Prayag Kumbh Mela, is a mela, or devout meeting, related to Hinduism and held in the city of Allahabad (also Prayagraj), India.
• The Pushkar Fair, also known as the Pushkar Camel Fair or nearly as Kartik Mela or Pushkar ka Mela is a yearly multi-day livestock fair and cultural fête held in the town of Pushkar near Ajmer city in Ajmer district in (Rajasthan, India).

​

The pattern followed here is:

Hence, the correct answer is "163".

Given that in a class of 36 students , there are three people between Rohit and the one who ranked 21st from the bottom and Rohit's rank is below the one whose rank is 21st from the bottom.

Clearly, Rohit's rank is 17th  from bottom .

Rohit's rank from the top :

⇒Total number of students - Rohit's rank from bottom + 1

⇒36 - 17 + 1

⇒20

Hence, the correct answer is "20th".

Given :

 Rakesh got 92 %  and

 Kiran got 96 % out of 375 marks 

Concept :

X % = $\frac{X}{100}$

Calculations :

Marks obtained by Rakesh

⇒ 92% of 375

⇒ $(\frac{92}{100})$× 375

⇒ 345

Marks obtained by Kiran

⇒ 96 % of 375

⇒ $(\frac{96}{100})$ × 375

⇒ 360

Now, the sum of marks obtained by Rakesh and Kiran 

⇒ (345 + 360)

⇒ 705

∴ The required sum is 705.

The correct answer is President.

Key Points

• The Constitution of India provides certain disqualifications under which a person shall be disqualified for being elected as a member of Parliament.
• On the question whether a member is subject to any of the disqualifications provisions, the president’s decision is final.
• Prior to giving any decision on any such question, the President shall get the judgement of the Election Commission and shall act according to such opinion.

Additional Information

• Article 101: Vacation of seats of members of Parliament
• Article 102:Provisions for Disqualifications of Members of Parliament.
• Article 103: Decision on questions as to disqualifications of members.
• Article 104: Penalty for sitting and voting before making oath or affirmation under article 99 or when not qualified or when disqualified

Shortcut Trick

Ratio of numbers = 17 : 25 : 66

Highest Common Factor (HCF) = 18

Smallest number corresponds to the smallest ratio part (17).

Smallest number = Smallest ratio part × HCF

Smallest number = 17 × 18 = 306

∴ The correct option is B.

Alternate Method

Given:

Ratio of three numbers = 17 : 25 : 66

HCF of the numbers = 18

Formula Used:

Actual Number = Ratio Part × HCF

1st Number (17x)

2nd Number (25x)

3rd Number (66x)

Common Factor (x) = HCF = 18 Ratio Visualization

Let the three numbers be 17x, 25x, and 66x.

Since HCF is the greatest common divisor for all the numbers, x represents the HCF.

⇒ x = 18

⇒ First number = 17 × 18 = 306

⇒ Second number = 25 × 18 = 450

⇒ Third number = 66 × 18 = 1188

⇒ Comparing 306, 450, and 1188, the smallest number is 306.

∴ The correct option is B.

Additional Information

HCF and Numbers in Ratio

If numbers are in ratio a : b : c and their HCF is h, then the numbers are ah, bh, and ch.

LCM of Numbers in Ratio

LCM of numbers having ratio a : b : c and HCF h is calculated as LCM(a, b, c) × h.

HCF × LCM Property

For two numbers A and B, A × B = HCF(A, B) × LCM(A, B). Note: This is not directly applicable to more than two numbers.

Given :

 \(\frac{{27}}{5} \times \frac{{15}}{{81}} \div \left{ {\frac{{14}}{{77}} \times \frac{{86}}{{72}} \times \frac{{99}}{{43}}} \right}\)

Concept Used:

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

Calculations :

⇒  \(\frac{{27}}{5} \times \frac{{15}}{{81}} \div \left{ {\frac{{14}}{{77}} \times \frac{{86}}{{72}} \times \frac{{99}}{{43}}} \right}\)

⇒ $\frac{{27}}{5} \times \frac{{15}}{{81}} \div {\frac{1}{2}}$  

⇒ $\frac{{27}}{5} \times \frac{{15}}{{81}} \times 2$ = 2

∴ The simplified value of the above equation will be 2.

The pattern followed here is as follows:

1) 'OBTAIN' is written as 'NATBOI'

2) 'BEGGER' is written as 'RGGEBE

Similarly,

3)  'RUGGED' be written '?'

Hence, the correct answer is "DGGURE".

The position of letters according to English alphabet series:

The pattern followed here is as follows:

1) IGRS ∶ NJWV

2) BMYF ∶ GPDI

Similarly,

3) XQSB ∶ ?

Hence, the correct answer is "CTXE".

Given that -

1. Mohita is, at present, exactly 35 years younger than her father.
2. Mohita's brother, Shubham, who was born in 1954, is exactly 34 years younger than his father.

From both 1 and 2 , we find that Mohita is ( 35 - 34 ) = 1 year younger than Shubham .

Hence, Both statements 1 and 2 are necessary to answer the question .

Given -

1 August 2021 was Sunday

Total number of days from 2 August to 1 November : 

     ⇒ August (30) + September (30) + October (31) + November (1)

     ⇒ 92 days

Since, It was Sunday on 1 August, every 7th day from 1 August will be Sunday.

So, total number of odd days  : 92 ÷ 7 = 1 day

Now, 1 August (Sunday) + 1 odd day = 1 November (Monday)

Hence, 1 November 2021 held on Monday .

Hence, the correct answer is "Monday".

Given: 

\(\frac{9}{{15}} × \frac{{45}}{{81}}\left{ {\frac{{49}}{6} × \left( {\frac{{16}}{7} - 2} \right) × \frac{{24}}{5} × \frac{{15}}{{16}}} \right}\)?

Concept used:

Calculation:

9/15 × 45/81 {49/6 × (16/7 - 2) × 24/5 × 15/16} 

⇒ 1/3 {49/6 × (16 - 14)/7 × 9/2}

⇒ 1/3 {49/6 × 2/7 × 9/2}

⇒ 1/3 {7/3 × 9/2}

⇒ 1/3 × 21/2 = 7/2 or 3.5.

∴ The value of above equation is 3.5.

People : P,Q,R,S,T and U

Floors : 1 ( lowermost floor ) to 6 ( topmost floor )

1. Q is not situated at floor number 1. 
2. P has five companies situated below its floor. ( Hence , P is situated on 6th floor )
3. There are only two companies situated between the floors of companies T and P and also between the companies Q and U.

Case 1.

 

 

 

 

 

 

 

 

 

Case 2.

 

 

 

 

 

 

 

 

 

Case 3.  

 

 

 

 

 

 

 

 

 

4. Company S is situated on an odd numbered floor , but not on the lowest floor . ( Thus , Case 1 and 2 are eliminated )

 

 

 

 

 

 

 

 

 

Therefore , Company  U is situated on floor number 1 .

Hence, the correct answer is "U".

Given :  

Total number of students = 80

Concept : 

[($\frac{1}{M}$)th of N = $\frac{N}{M}$)]

Calculation : 

No. of students who likes Chocolate D = $\frac{1}{10}×80$ = 8

No. of students who likes Chocolate E = $\frac{1}{20}×80$  = 4

The difference between the number of students who like Chocolate D and the number of students who like Chocolate E

= (8 - 4)

= 4

∴The Required Number is 4.

The correct answer is 20.

Key Points

• Article 20-No person shall be prosecuted and punished for the same offence repeatedly.
• No person accused of any offence shall be forced to be an observer against himself.
• No person shall be convicted of any offence except for contravention of the law in force at the time of the commission of the act imposed as an offence, nor be subjected to a penalty greater than that which might have been inflicted under the law in force at the time of the commission of the offence.

Additional Information

• Article 18(1) abolishes all titles. It forbids the State to confer titles on anybody whether a citizen or a non-citizen. Military and academic distinctions are, but, exempted from the prohibition.
• ​The Right to Protection of Life and personal liberty is the important object of Article 21 and it is a right guaranteed as opposed to State Action as eminent from violation of such right by private individuals.
• Everyone has the right to freedom of opinion under Article 19.

The correct answer is Globalisation.

Key Points

• Globalization is the word used to narrate the growing interdependence of the world's economies, arts, and populations, conduct regarding by cross-border trade in goods and services, technology, and flows of investment, people, and details.
• The wide-ranging results of globalization are multiplex and politically charged.
• Countries have to construct economic cooperation to facilitate these movements over many centuries.

Additional Information

• ​Privatization is the procedure of transferring an enterprise or industry from the public section to the private section.
• Nationalization is the procedure of taking privately-controlled companies, industries, or benefits and putting them under the authority of the government.
• The two important motives of liberalisation in India were: To raise foreign direct investment, industrial production, and technological competitiveness on a global scale.

Given: 

The lengths of the three sides of a triangle are 12 cm, 15 cm, and 21 cm.

Formula used: 

Heron's formula  

s = (a + b + c)/2 

⇒ √[s (s - a) (s - b) (s - c)]

Where, a, b, and c are the sides of the triangle

Calculation: 

According to the question, 

Area of a triangle using Heron's formula: 

s = (a + b + c)/2  

⇒ (12 + 15 + 21)/2  

⇒ 48 / 2 = 24. 

Now Area:

√[24 × (24 - 12) × (24 - 15) × (24 - 21)] 

⇒ √[24 × 12 × 9 × 3]  

⇒ √7776 = 36√6 cm² 

∴ The area (in cm2) of the triangle is 36√6 cm².

Given: 

The number from which divisibility is to be checked = 45

Concept: 

A Number divisible from a number should must be divisible from all of it's Co -- prime factors.

Calculations:

To find a number divisible by 45 first of all find co – prime pair of 45

 (i.e. which has H.C.F = 1)

co – prime pair of 45 = 9 × 5

⇒ Divisibility by 5 : A number is divisible by 5 if its unit digit is either 0 or 5.

⇒ Divisibility by 9 : A number is divisible by 9 if the sum of it’s all digits is divisible by 9.

From the options which have no digit number 0 or 5 will be eliminated (here, there is not such options available)

⇒ From the options, if the sum of all digits of any number cannot divisible by 9 then that particular option will be eliminated. (i.e. 12365 , 12355 and 12345)

∴ 12375 is completely divisible by 45.

The correct answer is Sonipat.

Key Points

• Atlas Cycles (Haryana) Ltd. formerly known as Atlas Cycle Industries (ACIL) begin with the production of bicycle saddles in 1951 and produced its first bicycle in 1952.
• From a modest starting of 120 cycles per day, the company has come a long way to set off India's second-biggest cycle manufacturer.
• Born in a Tin Shed, Swadeshi 'Atlas' set off as India's Largest Cycle Maker by 1965.
• Atlas Cycles Ltd was accepted by Janki Das Kapur in a small shed in Haryana to make budget cycles.

Additional Information

• Multan is the key maker of mangoes in Punjab and is popular as the Mango City of Pakistan.
• Punjab produces up for about 17% of India's wheat production.
• Lahore _ Textiles are the single main key industry, but there are many rubber factories, as well as iron, steel, and other mills.

Given :

⇒ 484.71 + 285.33 - 827.38 + 73.9 = ?

Calculations :

⇒ 484.71 + 285.33 - 827.38 + 73.9

⇒ (484.71 + 285.33 + 73.9) - 827.38 

⇒ 843.94 - 827.38

⇒ 16.56

∴ The simplified value of [484.71 + 285.33 - 827.38 + 73.9] is 16.56.

The correct answer is Reserve Bank of India,

Key Points

• The Reserve bank of India act as the lender of last resort. Central banks have traditionally clasp this role because they are primarily the ones in control of for ensuring that financial markets function smoothly and the financial system is firm.
• It can come to the rescue of a bank that is solvent but faces temporary liquidity difficulties by supplying it with much needed liquidity when no one else is willing to extend credit to that bank.
• The Reserve Bank of India (RBI) is India's central bank, also known as the banker's bank.
• The RBI regulate the monetary and other banking policies of the Indian government.

Additional Information

• Consolidation fund of India -​ the account of the revenue the Government of India collect — via income tax, Customs, central excise and non-tax revenue — and the cost, it makes, keep out exceptional items.
• The World Bank has been censured as promoting affectation and harming economic development.
• State Bank of India (SBI) is an Indian international public sector bank.

Given: 12 July 1965 was Monday.

Now,

1965 to 1966 = 1 Year (Ordinary Year).

So, 1 Ordinary Year has 1 odd day,

then, 12 July 1966 will be Monday + 1 = Tuesday.

Now, the number of days between 12 July 1966 to 14 August 1966:

= 19 (remaining days of July) + 14 (August) = 33 days.

= 33 days → 33/7 = 4 weeks and 5 odd days.

So, 14 August 1966 will be Tuesday + 5 = Sunday.

Hence, the correct answer is "Sunday".

The correct answer is 618 females per 1000 males.

Key Points

• The sex Ratio in Daman and Diu is 618 i.e. for every 1000 males, which is beneath national average of 940 as per poll 2011. In 2001, the sex ratio of females was 710 per 1000 males in Daman and Diu.
• As per the Aadhar Statistics the Daman And Diu population in 2021/2022 is 220,084 (0.22 Million) as a contrast to the last poll in 2011 is 242,911.

• For above 450 years, the coastal backyard of Daman (Portuguese: Damão) and Diu on the Arabian Sea coast were part of Portuguese India.

Additional Information

• In 2020, the sex ratio of the entire citizens in India is 108.18 males per 100 females.
• A sex ratio of 100 means there are equal numbers of females and males. Qatar has the highest sex ratio.
• The lowest female-to-male ratio was set down between Russians between zero and four years old, counting at 944 girls per one thousand boys.

The position of letters according to the English alphabet series:

The arrangement follows the following pattern :

Hence, the correct answer is "MBBT".

Given:

The ratio of the shares of A, B, and C = 2 ∶ 3 ∶ 5

The difference between the shares of B and C = Rs. 5,940

Calculations:

According to the question,

5x - 3x = 5940

⇒ 2x = 5940

⇒ x = 5940/2 = 2970

Now the total sum,

Total sum = 2x + 3x + 5x 

⇒ Total sum = (2 × 2970) + (3 × 2970) + (5 × 2970) 

⇒ Total sum = 5940 + 8910 + 14850 = Rs. 29700

∴ The Sum of money is Rs. 29700.

Given:

A do work in 45 days

B do work in 40 days

Concept used:

If a person does work in 'n' days then one day work by a person is (1/n) part of total work.

Calculation:

Let them together work for x days and after x days A left the work  

A's one day work = 1/45

B's one day work = 1/40

The total work for one day when they work together = A's one day work + B's one day work 

= 1/45 +  1/40

= (8 + 9)/360

=  17/360 part

Then for x days their total work = 17x/360 part

Now remaining work = 1 - 17x/360 part

⇒ (360 - 17x)/360   ----(i)

But this remaining work is completed by B in 23 days then,

And B's 23 days work = 23/40 ----(ii)

From equation (i) and equation (ii) we get,

(360 - 17x)/360 =  23/40 

⇒ 360 - 17x = (23/40) × 360

⇒ 360 - 17x = 23 × 9

⇒ 17x = 360 - 207

⇒ 17x = 153

⇒ x = 153/17

⇒ x = 9 days   

∴ A leave after 9 days.

Correct answer is Aravali Range.

Key Points

• Guru Shikhar, a top in the Arbuda Mountains of Sirohi district in Rajasthan, is the highest point of the Aravalli Range and Rajasthan.
• It stand up to a height of 1,722 metres (5,650 ft).
• The system is split into two segment: the Sambhar-Sirohi ranges, taller and including Guru Peak on Mount Abu.
• Dilwara is the second top peak in Rajasthan, and as Guru Shikhar is located in Mount Abu.

Additional Information

• ​ The Western Ghats are the mountainous criticize and ruined edge of the Deccan Plateau.
• The Himalayas extend over the northeastern portion of India.
• The Eastern Ghats are a intermittent range of mountains through India's eastern coast.

Correct answer is Leani Ratri Oktila.

Key Points

• Leani Ratri Oktila is Indonesian Para badminton player.
• She played each of the three variations of the sport (women's singles, women's doubles, and mixed doubles) at the highest world level.
• Due to disruption caused by COVID-19 over the past two years, the period of consideration for the awards was from November 2019 until 31 October 2021.

Additional InformationComplete List of Winners at Badminton World Federation (BWF) awards.

• Player of the Year: Viktor Axelsen (Male)
• Player of the Year: Tai Tzu Ying (Female)
• Most improved player of the Year: Lee Yang and Wang Chi-Lin
• Pair of the Year: Greysia Polii and Apriyani RahayuEddy Choong
• Most Promising Player: Kunlavut Vitidsarn (Male)
• Para Badminton Player of the Year: Qu Zimo (Female)
• Para Badminton Player of the Year: Leani Ratri Oktila
• Para Badminton Pair of the Year: Lucas Mazur and Faustine Noel

The position of letters according to the English alphabet series:

The pattern followed here is:

K - 2 = I; I - 2 = G; G - 2 = E

M - 2 = K; K - 2 = I; I - 2 = G

I - 2 = G; G - 2 = E; E - 2 = C

Hence the correct answer is EGC.

Given:

A can do a certain work in 45 days

B is 50% more efficient than 

C is 3 times as fast as A

Efficiency Ratio = 2:3:6

Time Ratio = 3:2:1

A= 45 days , B = 30 days , C = 15 days.

Concept used:

Work = Efficiency × Time

Calculations:

According to the question,

⇒ Efficiency of A = 1/45

⇒ Efficiency of B = 1/30

⇒ Efficiency of C = 1/15

⇒ The efficiency of A and B = 1/45 + 1/30 = (2 + 3)/90= 1/18 

⇒ The efficiency of A, B, and C = 1/45 + 1/30 + 1/15 = (2 + 3 + 6)/90 = 11/90 

Both A and B worked for the last 7 days together then,

⇒ Work = 1/18 × 7 = 7/18 

⇒ Remaining Work = 1 - 7/18 = 11/18

Now Time taken by A, B, and C to complete 11/18 work,

⇒ Time = (11/18) ÷ (11/90) = 5 days

Total Time = (Time Taken to complete 11/18 work) + ( Time Taken to complete 7/18 work)

⇒ Time = 5 + 7 = 12 days

∴ The entire work will be completed in 12 days.

Alternate MethodA completes a work in = 45 days

∵ B is 50% efficient than A

∴ B completes a work in = 30 days

C completes a work in = 15 days

∴ Total work = LCM(45,30,15)

Total work = 90 units

A 1 day work = 90/45 = 2 units/day

B 1 day work = 90/30 = 3 units/day

C 1 day work = 90/15 = 6 units/day

Let A, B, C completes the work in 'x' days

∴ according to question

⇒ 2 × x + 3 × x + 6 × (x -7) = 90

⇒ 5x + 6x = 90 + 42

⇒ 11x = 132

⇒ x = 12 days

∴ A, B, C completes a work in 12 days.

Shortcut Trick

Recognize the Pythagorean triplet: 5, 12, 13.

Given hypotenuse = 13 cm and one side = 5 cm, the other side (height) must be 12 cm.

Area = (1 ÷ 2) × base × height = (1 ÷ 2) × 5 × 12 = 30 cm².

∴ The correct answer is 30 cm².

Alternate Method

Given: Hypotenuse (h) = 13 cm, Base (b) = 5 cm.

Formula Used: Pythagoras Theorem: h² = b² + p² | Area = (1 ÷ 2) × b × p

⇒ p² = 13² − 5²

⇒ p² = 169 − 25 = 144

⇒ p = √144 = 12 cm

⇒ Area = (1 ÷ 2) × 5 × 12

⇒ Area = 5 × 6 = 30 cm²

∴ The correct answer is 30 cm².

Additional Information

Pythagorean Triplets

Common sets of integers that satisfy a² + b² = c² include (3, 4, 5), (5, 12, 13), (8, 15, 17), and (7, 24, 25).

Area of Triangle (Heron's Formula)

For any triangle with sides a, b, and c, Area = √[s(s−a)(s−b)(s−c)], where s = (a+b+c) ÷ 2.

Circumradius of Right Triangle

The radius of the circumcircle of a right-angled triangle is always half of the hypotenuse (R = h ÷ 2).

Given:

Karthik (K) and Sneha (S) together can do the work in 25 days.

Sneha and Madhuri (M) together can do the same work in 20 days.

Madhuri and Karthik together can do the same work in 15 days. 

Concept Used:

Work = Efficiency × Time

Calculations:

According to the question,

⇒ Efficiency of Karthik and Sneha = 1/25      ----(1)

⇒ Efficiency of Sneha and Madhuri = 1/20      ----(2)

⇒ Efficiency of Madhuri and Karthik = 1/15      ----(3)

The efficiency of Sneha, Madhuri, and Karthik

Now add (1), (2), and (3)

2(K + S + M) = 1/25 + 1/20 + 1/15

⇒ 2(K + S + M) = (12 + 15 + 20)/300

⇒ 2(K + S + M) = 47/300 

⇒ (K + S + M) = (1/6.38) × (1/2) = 1/12.76

⇒ (K + S + M) = 12.76 days ~ 13 days

∴ All three work together they will complete the work in 13 days.

SOLUTION:

Step 1: A and C are immediate neighbors of each other.

Step 2: C is the 2nd person to the right of D.

Step 3: A is not an immediate neighbor of D.

Step 4: B sits 2nd to the left of A. Therefore the remaining spot is assigned to E.

With the help of the diagram, we can see that E is second to the right of C.

The logic followed here is:

Step 1:A is shorter than E but taller than C.

E > A > C

Step 2: C is taller than D but shorter than B, who is shorter than A.

A > B > C > D   

Now on combining both the steps, we get:

E > A > B > C > D

Hence, the correct answer is E.

The correct answer is Monaco.

Key Points

• The European city-state of Monaco is the most densely populated country with a population density of 26,523 people per sq. km (68,696/sq mile), and its population only numbers in thousands.
• Population density is calculated as population divided by total land area.
• The Chinese territory of Macau has the world's 2nd highest population density at 22,020/km².
• Only these two have over 10,000 population per square kilometer.

Additional Information

• World Bank is headquartered in Washington D.C.
• The President of World Bank is David Malpass.
• Monaco currency is Euro.​

The correct answer is Poona Pact.

Key Points

• The Poona Pact was an agreement between Mahatma Gandhi and B.R.Ambedkar on behalf of Dalits, depressed class, and upper caste Hindu leaders on the reservation of electoral seats for the depressed classes in the legislature of British India in 1932.
• It was made on 24 September 1932 at Yerawada Central Jail, Poona.
• It was signed by Ambedkar on behalf of the depressed classes and by Madan Mohan Malviya on behalf of Hindus, Faraz Shah, Sana Ejaz and Gandhi.

Additional Information

• The Lucknow Pact was an agreement reached between the Indian National Congress and the Muslim League (AIML) at a joint session of both the parties held in Lucknow in December 1916.
• The Cripps Mission was sent by the British government to India in March 1942 to obtain Indian cooperation for the British war efforts in the 2nd World War.
• Gandhi-Irwin Pact is the name given to a political agreement concluded by Mahatma Gandhi and Lord Irwin, the then Viceroy of India, on 5th March 1931.

Formula Used:

Mean = Sum of all observations/Number of observation

Calculation:

Mean:

⇒ (0 + 0 + 1 + 4 + 7 + 10 + 11 + 12 + 13 + 16 + 17 + 18 + 19 + 25 + 27 + 28 + 29 + 33 + 37)/19

⇒ 307/19 = 16.16

Median:

Ascending order:

{0, 0, 1, 4, 7, 10, 11, 12, 13, 16, 17, 18, 19, 25, 27, 28, 29, 33, 37}

⇒ The middle value is 16 so, the median is 16.

Mode:

Only {0} is repeated 2 times

⇒ 0 is repeating maximum time so, the mode is 0.

Hence, the mean, median and mode are 16.16, 16, 0 respectively.

The correct answer is Tura.

• According to the Press Information Bureau release on 2nd February 2022, sites that has been identified for the Saffron Bowl project in Meghalaya is Shillong, Barapani and Cherrapunji.

Key Points

• ​North East Centre for Technology Application and Reach (NECTAR) under Saffron Bowl project has identified few locations in Arunachal Pradesh and Meghalaya for saffron cultivation.
• In Meghalaya, sample plantations were grown at Cherrapunji, Mawsmai and Lalingtop sites.
• The total cost of the whole project is Rs. 17.68 lakhs for Arunachal Pradesh and Meghalaya.
• Out of which, a tentative amount of Rs.6.00 lakhs has been earmarked for Barapani (Meghalaya) site.
• This information was given by Minister of State (Independent Charge) of the Ministry of Science and Technology and Earth Sciences, Dr. Jitendra Singh

Additional Information

• Conrad Kongkal Sangma is the Chief minister of Meghalaya.
• Capital of Meghalaya is Shillong.
• Shri. Satyendra Prakash IIS is the chairman of Press Information Bureau.

Shortcut Trick

Effective rate of compound interest for 2 years = R + R + (R × R) ÷ 100

Effective Rate = 2 + 2 + (2 × 2) ÷ 100 = 4.04%

Compound Interest = 4.04% of Principal

CI = (4.04 ÷ 100) × 15000 = 606

∴ The correct answer is Rs. 606.

Alternate Method

Given:

Principal (P) = Rs. 15000

Rate (R) = 2% per annum

Time (n) = 2 years

Principal 15000

2%

Year 1 CI

• 300

2%

Year 2 CI

• 306

Total CI = Rs. 606

Formula Used:

Amount (A) = P(1 + R ÷ 100)ⁿ

Compound Interest (CI) = A − P

Calculations:

⇒ Amount = 15000 × (1 + 2 ÷ 100)²

⇒ Amount = 15000 × (102 ÷ 100)²

⇒ Amount = 15000 × 1.02 × 1.02

⇒ Amount = 15000 × 1.0404

⇒ Amount = Rs. 15606

⇒ Compound Interest = 15606 − 15000

⇒ Compound Interest = Rs. 606

∴ The correct answer is Rs. 606.

Additional Information

Difference between CI and SI (2 years)

For a principal sum P at R% per annum, the difference between Compound Interest and Simple Interest for 2 years is calculated using D = P × (R ÷ 100)².

Effective Rate for 3 Years

The effective compound interest rate for 3 years at R% p.a. can be calculated directly as 3R + 3R² ÷ 100 + R³ ÷ 10000.

Half-Yearly Compounding

When interest is compounded half-yearly, the rate is halved (R ÷ 2) and the time period is doubled (2n) in the standard formula.

Given:

(y + z) = 25 .......(1)

(y2 - z2) = 225

Concept used:

x² - y² = (x + y)(x - y)

Calculations:

According to the question,

(y2 - z2) = 225

⇒ (y + z) × (y - z) = 225

⇒ (25) × (y - z) = 225

⇒ (y - z) = 9 .........(2)

Subtracting (2) from (1)

⇒ (y + z) - (y - z) = 25 - 9   

⇒ 2z = 16

⇒ z = 8

∴ The value of z is 8.

The given equation is:

175 - 10 + 2 × 165 ÷ 25 + 5 = ?

Now form the new equation by replacing the mathematical symbols as given in the question.

The new equation will be:

175 × 10 ÷ 2 + 165 - 25 ÷ 5 

By using the 'BODMAS' rule solve the above equation.

The 'BODMAS' rule is:

⇒ 175 × 5 + 165 - 5

⇒ 875 + 165 - 5

⇒ 1040 - 5

⇒ 1035

Hence, the correct answer is 1035.

Shortcut Trick

In an isosceles triangle with AB = AC, base angles ∠ABC and ∠ACB are equal.

Base angles = (180° − 50°) ÷ 2 = 65°.

The exterior angle ∠ACD is equal to the sum of the two opposite interior angles.

∠ACD = ∠BAC + ∠ABC = 50° + 65° = 115°.

∴ The correct answer is 115°.

Alternate Method

Given: AB = AC and ∠BAC = 50° in ▵ABC.

Formula Used: Sum of angles in a triangle is 180°; Linear pair sum is 180°.

In ▵ABC, since AB = AC:

⇒ ∠ABC = ∠ACB (Angles opposite to equal sides are equal)

⇒ ∠BAC + ∠ABC + ∠ACB = 180°

⇒ 50° + 2 × ∠ACB = 180°

⇒ 2 × ∠ACB = 180° − 50° = 130°

⇒ ∠ACB = 65°

Side BC is extended to D, forming a linear pair at point C:

⇒ ∠ACB + ∠ACD = 180°

⇒ 65° + ∠ACD = 180°

⇒ ∠ACD = 180° − 65° = 115°

∴ The correct answer is 115°.

Additional Information

Exterior Angle Theorem

The exterior angle of a triangle is always equal to the sum of the two opposite interior angles of the triangle.

Isosceles Triangle Property

If two sides of a triangle are equal, then the angles opposite to those sides are also equal.

Angle Sum Property

The sum of all three interior angles of any triangle is always 180°.

The correct answer is Filament.

Key Points

• Bulbs turn electricity into light by sending the electric current through filament.
• Filament refers to a thin wire. Moreover, electric filaments comprise mostly of the metal tungsten.
• Most noteworthy, it is the resistance of the filament which actually heats the bulb up.
• Consequently, when the filament gets hot enough, it starts glowing and produces light.

Additional Information

• Fuses are the protectors, these are the safety devices which are used to protect the home appliances like televisions, refrigerators, computers with damage by high voltage.
• A relay is an electrically operated switch. It consists of a set of input terminals for a single or multiple control signals, and a set of operating contact terminals.
• Resistor is a passive two terminals electrical component used for limiting or regulating the flow of electricity in a circuit.