DSSSB Junior Secretariat Assistant Official paper (Held on: 4 April 2022 Shift 1 ) (Previous Year Paper)

The table is alphabets place value:

The pattern followed here is:

• SYLLABUS is written as HBOOZYFH.

Similarly,

• CURRICULUM is written as;

Hence, 'CURRICULUM' is coded as "XFIIRXFOFN".

Decoding the information, 

Given:

7 × 42 + 7 ÷ ? - 4 = 42 + 6 ÷ 2 – 7

Let the question mark (?) is ‘a’

After replacing the signs from left to right and using the BODMAS rule,

=> 7 - 42 ÷ 7 + a × 4 = 42 ÷ 6 + 2 × 7

=> 7 - 6 + a × 4 = 7 + 2 × 7

=> 7 - 6 + a × 4 = 7 + 14

=> 1 + a × 4 = 21

=> a × 4 = 21 - 1

=> a × 4 = 20

=> a = 20 ÷ 4

=> a = 5

Hence, “5” is the correct answer.

According to the given information,

A number should come immediately preceded by a letter and also immediately followed by a symbol.

• Letter → Number → Symbol

(Left) K & 4 D π S Q 2 % M 6 ∞ R Z Ω β Y 7 @ 3 E (Right)

A number of times the condition is satisfied:

• [Q 2 %], [M 6 ∞], [Y 7 @]

Hence, “Three” is the correct answer.

The table is alphabets place value:

Given: RIFT - FTRI - TFIR

Similarly,

Option(1): MORE - REMO - EROM

Hence, "Option (1)" is the correct answer.

Given statements: A > M > N < O, O ≥ T > X, T < Y

On combining: A > M > N < O ≥ T > X, T < Y

Conclusions:

I. A > X → False (as A > M > N < O ≥ T > X gives; as A > N, N < O and O > X → clear relationship between A and X cannot be determined).

II. A < X → False (as A > M > N < O ≥ T > X gives; as A > N, N < O and O > X → clear relationship between A and X cannot be determined).

This is not an "Either or" condition because in this condition three signs are important <, > and = but in statement = is not given.

Hence, the correct answer is “Neither I nor II”.

Preparing the family tree using the following symbols,

Given:

G + H means 'G is the daughter of H',

G - H means 'G is the husband of H',

G × H means 'G is the brother of H'.

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

 

Now break the code ‘M × N + O’

1) M × N

‘M × N’ means 'M is brother of N'.

2) N + O

'N + O' means 'N is daughter of O'.

Now, check all the options

1)  M is the father of O → False (M is the son of O)

2)  M is the son of O → True (M is the son of O)

3)  M is the uncle of O → False (M is the son of O)

4)  M is the brother of O→ False (M is the son of O and brother of N)

Hence, “M is the son of O” is the correct answer.

The pattern followed here is:

√(1^st number + 3) = 2^nd number

Now follow the steps:

526 ∶ 23

= √526 + 3

= √529

= 23 = 2nd number

And,

321 ∶ 18

= √321 + 3

= √324

= 18 = 2nd number

Similarly,

193 : ?

= √193 + 3

= √196

= 14 = 2^nd number

Hence, "14" is correct answer.

Decoding the information, 

Given:

24 × 12 + 3 ÷ 7 - 1

After replacing the signs from left to right and using the BODMAS rule,

= 24 - 12 ÷ 3 + 7 × 1

= 24 - 4 + 7 × 1

= 24 - 4 + 7

= 31 - 4

= 27

Hence, “27” is the correct answer.

Drawing the diagram according to the given information,

1. Town G is to the East of Town H.
2. Town F is to the south of Town G.
3. Town E is to the West of Town F.

Thus, Town H is in the "North-West" direction of Town F.

Hence, the correct answer is "North-West".

The logic is here is,

1^st number × 10000 = 2^nd number

Given:

0.1 is related to 1000

=> 0.1 × 10000 = 1000

And,

0.01 is related to 100

=> 0.01 × 10000 = 100

Similarly,

1 is related to

=> 1 × 10000 = 10000

Hence, “10000” is the correct answer.

Preparing the family tree using the following symbols,

Given:

'A + B' means 'A is the mother of B',

'A - B' means 'A is the brother of B',

'A ÷ B' means 'A is the father of B',

'A × B' means 'A is the wife of B'.

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

 

Now break the code of 'P + Q ÷ R - S × T'

1) P + Q

• ‘P + Q’ means ‘P is the mother of Q’.

2) Q ÷ R

• ‘Q ÷ R’ means ‘Q is the father of R’.

3) R - S

• 'R - S’ means ‘R is the brother of S’.

4) S × T

• ‘S × T’ means ‘S is the wife of T’.

Hence, P is the ‘Wife's father's mother’ of T.

Preparing the family tree using the following symbols,

Given:

'A ÷ B' means 'A is the wife of B',

'A - B' means 'A is the father of B',

'A × B' means 'B is the mother of A',

'A $ B' means 'A is the sister of B'.

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

Now break the code of 'P $ Q × R ÷ S - T'

1) P $ Q

‘P $ Q’ means ‘P is the sister of Q’

2) Q × R

‘Q × R’ means ‘R is the mother of Q' since here reverse relation given.

3) R ÷ S

'R ÷ S’ means ‘R is the wife of S’

4) S - T

‘S - T’ means ‘S is the father of T’

Hence, P is the sister of T.

Mistake Points'A × B' means 'B is the mother of A',

2. Q × R → ‘Q × R’ means ‘R is the mother of Q'

Here, a reverse relation is given.

Given:

X _____ C < M = Q < G

Now check all the options,

1)  < → X < C < M = Q < G → G > X (True

)

2)  ≠ → X ≠ C < M = Q < G → G > X (False

)

3)  = → X = C < M = Q < G → G > X (True

)

4)  ≤ → X ≤ C < M = Q < G → G > X (True

)

Hence, “Option (2)” is the correct answer.

According to the given information

 

‘elements’ is coded as "2".

Hence, 'option (4)' is the correct answer.

The given statement is: X ≥ Y ≥ Z > A ≤ B ≤ C

Conclusions:

I. X > B → False (as X ≥ Y ≥ Z > A ≤ B gives; as X > A and A ≤ B → clear relationship between X and B cannot be determined).

II. Y ≤ C → False (as Y ≥ Z > A ≤ B ≤ C given; as Y > A and A ≤ C → clear relationship between Y and C cannot be determined).

Hence, the correct answer is “Neither I nor II”.

Table show alphabet serial number –

The pattern followed is,

 

All follow the same pattern, except 'KPT’.

Hence, “KPT” is the odd one.

Decoding the information, 

Given:

96 + 16 × 43 ÷ 15 - 9

After replacing the signs from left to right and using the BODMAS rule,

= 96 ÷ 16 - 43 + 15 × 9

= 6 - 43 + 15 × 9

= 6 - 43 + 135

= 141 - 43

= 98

Hence, “98” is the correct answer.

Drawing the diagram according to the given information,

1. Jitendra is facing east.
2. He goes straight for 55 metres
3. Then turns left and walks 40 metres
4. Then turns right and goes 45 metres
5. Then again turns right and covers a distance of 50 metres.

Hence, he is going in "South" direction.

The alphabets are positioned in the following order:

The word can be presented as follows,

In Forward direction: IL;

In Backward direction: GI, EG, LN, EI.

Hence, we can see that "Five" such pairs are there.

The table is alphabets place value:

The pattern followed here is:

CFHK is related to BEGJ

And,

ILNQ is related to MPRU

Similarly,

DGIL related TO

Hence, 'DGIL' is coded as "LOQT".

The logic is here:

In all figures the uper side of figure right side is dark and left side is light.

Option (1):

Option (2):

Option (3):

Option (4):

Hence, Option (1) is different one.

Alternate Method 

The logic is here:

If we rotate Option in 90 degree anticlockwise direction we get next option. 

Now check all the options,

Option (1):

Option (2):

Option (3):

Option (4):

Hence, "Option (1)" is different.

Statements:

Some drinks are beverages.

All beverages are snacks.

All snacks are chocolates.

The least possible diagram for the given statements is as follows

Conclusions:

(I) At least some drinks are snacks → True (because some drinks are beverages all beverages are snacks so definitely at least some drinks are snacks)

(II) All beverages are chocolates → True (because all beverages are snacks and all snacks are chocolates so definitely all beverages are chocolates)

Hence, “Both conclusions (I) and (II) follows".

Opposite surface of the open dice can be found by the below method:-

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

Below are the opposite surfaces:-

Note:- Two opposite faces are never seen together or adjacent to each other.

Option (1): 

None of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

Option (2): 

None of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

Option (3): 

None of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

Option (4): 

:  C2 and B2 are opposite faces but here they are seen together which is wrong. Thus this cube cannot be made.

Hence, ‘Option (4)’ is the correct answer.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'OQN’.

Hence, “OQN” is the odd one.

Five persons A, B, C, D and E are sitting in a row facing towards the North.

1. B is the immediate neighbour of A and D.

2. C is sitting to the immediate left of D, who is second to the right of E.

So, "C" is sitting at the second position from the left end.

Hence, the correct answer is "C".

The pattern followed here is:

Hence, '15015' is the correct answer.

The table is alphabets place value:

The pattern followed here is:

ABZY is related to EFVU

And,

GHTS is related to LMON

Similarly,

VWED related to

Hence, 'VWED' is coded as "HISR".

Alternate Method

The table is alphabets place value:

The pattern followed here is:

ABZY is related to EFVU

And,

GHTS is related to LMON

Similarly,

VWED related to

Hence, 'VWED' is coded as "HISR".

The figure that will replace the question mark (?) in the following figure series is shown below:

1. Middle figure rotate 90 degree clockwise direction in each step.

2. Upper right side and Lower left side figure interchange there positions each other.

3. Upper left side and lower right side letter replace by its next alphabet.

Final series is:

Hence, ‘option 4’ is the correct answer.

The pattern followed here is:

 

Hence, '17' is the correct answer.

Given:

• 7 persons are sitting in a row, facing north.

1. S sits to the immediate left of T but to the right of R.

2. Q sits to the immediate right of P but to the left of R.

3. O sits to the immediate right of N but to the left of P.

Hence, "T" is at the extreme right.

Table show alphabet serial number –

The pattern followed is,

Hence, “Q(52)T” is the complete series.

The logic followed here is:

In figure A and B:

• Letter interchange its position in clockwise direction.
• Middle figure rotate in clockwise direction.

Similarly, 

In figure C and D:

• Letter interchange its position in clockwise direction.
• Middle figure rotate in clockwise direction.

Hence, "Option 3" is the correct answer.

Given:

1. Rupali is at the 13th position from the left and Neelam is at the 18th position from the right.

2. They interchange their positions, Rupali becomes 21st from the left.

=> The total number of persons = Rupali position from left + Rupali position from right - 1

=> The total number of persons = 21 + 18 - 1 = 38

Neelam position from the right:

=> The total number of persons = Neelam position from left + Neelam position from right - 1

=> 38 = 13 + Neelam position from right - 1

=> Neelam position from right = 38 - 13 + 1 = 39 - 13 = 26

Hence, Neelam position from right  is “26”.

The table is alphabets place value:

The pattern followed here is:

Hence, 'Q68U' is the correct answer.

The pattern follows here is:

In figure 1, 2 and 5:

1. Black small square rotates in clockwise direction.

2. Inside arrow rotates in anticlockwise direction from the middle of the square side to the next side.

In figure 2 and 3:

1. Black small square rotates in clockwise direction.

2. Outside arrow rotates in anticlockwise direction from the middle of the square side to the next side.

Final series is:

Hence, ‘option 1' is the correct answer.

The image obtained when the paper is unfolded is,

Hence, option 4 is the correct answer.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'MON’.

Hence, “MON” is the odd one.

The table is alphabets place value:

The pattern followed here is:

 

Hence, '11BV' is the correct answer.

The shaded part represents the married lecturers who are women represented.

 

The letter representing the married lecturers who are women represented = Q

Hence, ‘Q’ is the correct answer.

The shaded part represents women who are married but NOT lecturers.

 

The letter representing women who are married but NOT lecturers = S

Hence, ‘S’ is the correct answer.

The correct answer is Manipur

Key Points

• Manipur:
• Manipuri Dance is also known as Jagoi and is one of the major Indian classical dance forms.
• The ethnic majority of Meitei people call dance Jagoi and the traditional 'Lai Haraoba' festival is observed in the honor of Sylvan deities.
• The musical instrument used in this art form includes the Pung which is a barrel drum, harmonium, flute, Ppna, and stem bong.
• The language of text songs of Manipuri dance lyrics is varied including Sanskrit, Brij Bhasa, and Maithali.

Additional Information 

• Other Classical Dances:
• Nagaland - Chang Lo or Sua Lua
• Tripura - Hozagiri, Garia, Jhum, Maimita, Masak Sumani
• Jharkhand - Jhumair,  Domkach, Lahasua, Chhau

The correct answer is Odisha

Key Points

• The first edition of the 2020 Khelo India University Games was held from February 22 to March 1, 2020, at KIIT University, Bhubaneswar, Odisha.
• It was organized by the Ministry of Youth Affairs and Sports.
• Annual financial assistance of Rs 5 lakh per annum for 8 years is given to the talented sports disciplines under Khelo India Scheme.

Important Points 

• Khelo India App is developed by the Sports Authority of India (SAI).
• First Khelo India Youth Games were held in New Delhi in 2018.
• The Second was held at Pune and the third edition was held in 2020 in Guwahati.

NOTE:

• On January 21, 2018, Prime Minister Narendra Modi, unveiled the first edition of the Khelo India Youth Games at the Indira Gandhi Arena in New Delhi.
• Later in February 2020, Modi launched the first-ever Khelo India University Games in the city of Bhubaneswar in Odisha.

The correct answer is The gravitational pull of the Moon is one-eighth of the Earth.

Key Points

• The gravitational pull of the Moon is one-sixth of the Earth.
• Gravity is a fundamental interaction that causes mutual attraction between all things with mass or energy.
• Gravity is by far the weakest of the four fundamental interactions.

Additional Information

• Earth's moon is the fifth-largest in our solar system.
• The dark spots on the moon are called "Maria."
• The moon moves about 3.8 cm away from the Earth every year.
• We always see the same side of the moon.

The correct answer is Nuakhai

Key Points

• Nuakhai is an agricultural festival mainly observed by people of Western Odisha and Southern Chhattisgarh.
• Nuakhai is observed to welcome the new rice of the season.
• The word nua means new and khai means food, so the name means the farmers are in possession of the newly harvested rice.

Additional Information

• Dol Purnima, Dol Jatra, Doul Utsav, or Deul is a major Holi festival of braj, Bangladesh, and the Indian state of West Bengal, Odisha, and Assam.
• Raja Parba, also known as Mithuna Sankranti, is a three-day-long festival of womanhood celebrated in Odisha, India.
• Ratha Yatra is a Hindu festival associated with Lord Jagannath held at Shri Kshetra Puri Dham in the state of Odisha, India. It is the oldest Ratha Yatra, whose descriptions can be found in Brahma Purana, Padma Purana, Skanda Purana, and Kapila Samhita.

The correct answer is Bihu - Assam

Key Points

• Bihu is a set of three important Assamese festivals in the Indian state of Assam.
• "Rongali' or 'Bohag Bihu' is observed in April, 'Kongali' or 'Kati Bihu' is observed in October, and 'Bhogali' or 'Magh Bihu' is observed in January.
• Bihu is associated with agriculture, and rice in particular.

Additional Information

• Ghoomar or ghumar is a traditional folk dance of Rajasthan. It was the Bhil tribe who performed it to worship Goddess Sarasvati.
• Bhangra is a type of traditional folk dance in Punjab. It is done in the season of harvesting.
• Garba is a form of dance that originates from the state of Gujarat in India.

The correct answer is PR Sreejesh and Manpreet Singh

Key Points

• Dhyan Chand Khel Ratna Award is the highest sporting honour in India.
• It is awarded annually by the Ministry of Youth Affairs and Sports.
• It was instituted in 1991-92 and a cash prize of 25 lakh is given to the awardee.
• The first award was given to Vishwanathan Anand.

Additional Information

• Sumit Nagal is a Tennis player in India.
• Birendra Lakra is an Indian professional field hockey player. In Tokyo 2020 also, he had been selected as Vice Captain of the Indian team.
• Amit Rohidas is an Indian field hockey player who plays as a defender for the Indian national team.

The correct answer is Low compressibility 

Key Points

• Gases exert pressure equally in all directions.
• The gas particles have a very weak attractive force between them and move randomly ultimately exerting pressure in all directions.
• The gaseous state of matter occurs between the liquid and plasma states.
• Gases that contain permanently charged ions are known as plasmas.

Additional Information

• In a gas, particles are in continual straight-line motion.
• The kinetic energy of the molecule is greater than the attractive force between them, thus they are much farther apart and move freely from each other, hence volume is Not fixed.
• Compared to the other states of matter, gases have low density and viscosity.

The correct answer is Assam.

Key Points

• Doul festival is colourfully celebrated by the people of Assam, especially it is a tremendous occasion for the people of Barpeta.
• It is a festival of colour and happiness.
• Doul Utsav is also called ‘holi’ or ‘rang.

Additional Information

• Mascarade Festival (Mask Festival) is celebrated in Puducherry. It is celebrated from March - April month of the year.
• Chhath Puja is the famous and main festival of Bihar.
• Baisakhi holds great significance for the people of Chandigarh and Punjab. It is celebrated on April 13th marking the beginning of the harvest season.

The correct answer is The outermost part of the Sun's atmosphere

Key Points

• The Sun's corona is the outermost part of the Sun's atmosphere. The corona is usually hidden by the bright light of the Sun's surface.
• The corona can be viewed during a total solar eclipse.
• During a total solar eclipse, the moon passes between Earth and the Sun. When this happens, the moon blocks out the bright light of the Sun. The glowing white corona can then be seen surrounding the eclipsed Sun.

Additional Information

• The corona reaches extremely high temperatures.
• The corona is about 10 million times less dense than the Sun’s surface. This low density makes the corona much less bright than the surface of the Sun.
• The Sun's magnetic fields affect charged particles in the corona to form beautiful features. These include streamers, loops, and plumes.

The correct answer is Dhriti Banerjee

Key Points

• Dhriti Banerjee is a prolific scientist. She had been conducting research in zoogeography, taxonomy, morphology, and molecular systematics.
• The Zoological Survey of India was founded in July 1916.
• It comprises 16 regional centers and works under the ministry of environment, Forest, and climate change.
• It studies and promotes the survey, explore & research of fauna in India.

Additional Information

• Kiran Mazumdar-Shaw is an Indian billionaire entrepreneur. She is the executive chairperson and founder of Biocon Limited and Biocon Biologics Limited, a biotechnology company based in Bangalore.
• Arundhati Bhattacharya is a retired Indian banker and former Chairperson of the State Bank of India. She is the first woman to be the Chairperson of the State Bank of India.
• Preetha Reddy is the vice chairperson of Apollo Hospitals, one of the largest healthcare conglomerates of India.

The correct answer is GE's John F Welch Technology Centre

Key Points

• The John F. Welch Technology Centre (JFWTC) is the formal name of the GE Global Research and technology, development site located in Whitefield, Bangalore.
• The JFWTC is General Electric's (GE) first and largest integrated, multidisciplinary research and development centre outside the US.
• It has collaborated with SERB for research and development.

Additional Information

• Science and Engineering Research Board is a statutory body under the Department of Science and Technology, Government of India, established by an Act of the Parliament of India in 2009.
• The Board was set up for promoting basic research in science and engineering and to provide financial assistance to scientists, academic institutions, R&D laboratories, industrial concerns and other agencies for such research.
• Amazon Web Services (AWS) is world's most comprehensive and widely adopted platform, offering more than 200 fully features services from data centres globally.
• Google data center is the largest data center facility Google uses to provide its services, which combines large drives, computer nodes organized in aisles of racks, internal and external networks, environmental control, and operations software.

The correct answer is Rs. 12,50,000

Key Points

• The legal reserve ratio refers to the minimum fraction of deposits that the banks are mandated to keep as cash themselves.
• The legal reserve ratio is fixed by the Central bank.
• Legal Reserve Ratio has two components:

1. Cash Reserve Ratio (CRR)-It refers to the cash reserves of Commercial Banks with the Central Bank as a percentage of their deposits.
2. Statutory Liquidity Ratio (SLR) refers to reserves in the form of liquid assets (including (i) cash, (ii) gold, and (iii) approved securities) with the Commercial Banks themselves, as a percentage of their total deposits.

Additional Information

• Both CRR and SLR are fixed by the Central Bank.
• Both CRR and SLR are legally binding for Commercial Banks.

The correct answer is NaCl

Key Points

• Salt is a mineral composed primarily of sodium chloride (NaCl).
• Salt in the form of a natural crystalline mineral is known as rock salt or halite.
• The open ocean has about 35g of solids per litre of seawater, a salinity of 3.5%.

Additional Information

• Magnesium chloride is the name for the chemical compound with the formula MgCl2. These salts are typical ionic halides, being highly soluble in water.
• Aluminium chloride (AlCl3), also known as aluminium trichloride, is an example of an inorganic compound that reversibly changes from a polymer to a monomer at a mild temperature.
• Potassium chloride is an ionic salt featuring a bond between an alkali metal and a halogen. It is denoted by the chemical formula KCl.

The correct answer is Risk for heart disease and stroke

Key Points​

• LDL (low-density lipoprotein), sometimes called “bad” cholesterol, makes up most of your body's cholesterol.
• High levels of LDL cholesterol raise your risk for heart disease and stroke.
• Certain medicines, including steroids, some blood pressure medicines, and HIV/AIDS medicines, can raise LDL levels.
• Diseases such as chronic kidney disease, diabetes, and HIV/AIDS can cause a higher LDL level.

Additional Information

• HDL (high-density lipoprotein), or “good” cholesterol, absorbs cholesterol and carries it back to the liver.
• High levels of HDL cholesterol can lower your risk for heart disease and stroke.

The correct answer is Tripura

Key Points

• Hojagiri is a folk dance, performed in the state of Tripura,  by the Tripuri people of the Reang clan.
• It is performed by women and young girls.
• About 4 to 6 members in a team, singing, balancing on an earthen pitcher, and managing other props such as a bottle on the head and earthen lamp on the hand. while only the lower half of the body is moved.

Additional Information

• The Brita dance is a traditional folk dance of West Bengal performed by women.
• Changing dance is a traditional folk dance performed by the Chang Naga Tribe of Nagaland.
• Bihu is the most popular folk dance in Assam.

The correct answer is Dmitri Ivanovich Mendeleev

Key Points

• Dmitri Ivanovich Mendeleev was a Russian chemist and inventor. He is best known for formulating the Periodic Law and creating a farsighted version of the periodic table of elements.
• Mendeleev's periodic table is an arrangement of elements in an increasing atomic mass order in a tablet form, such that it reflects similarities and trends in the behavior of elements.
• The columns are known as groups and rows are known as periods.

Additional Information

• A periodic table of the (chemical) elements, is a tabular display of the chemical elements.
• The table is divided into four roughly rectangular areas called blocks. The rows of the table are called periods, and the columns are called groups.
• Elements from the same column group of the periodic table show similar chemical characteristics.
• Marie Curie - Contribution in Radioactivity, Purification of radium, and the discovery of polonium.
• Marie Curie is the only woman to have received the Nobel Prize in Science and Chemistry twice.
• John Alexander Newlands in 1865 profounded the Law of Octaves.
• John Alexander arranged the elements in increasing order of their atomic weights and noted that every eighth element had properties similar to the first element.

The correct answer is Anticlockwise

Key Points

• Northern hemisphere cyclones are called hurricanes or typhoons and rotate in an anti-clockwise direction.
• Cyclones are rapid inward air circulation around a low-pressure area.
• Cyclones are usually accompanied by violent storms and bad weather.

Additional Information

• There are two types of cyclones:

1. Tropical cyclones; and
2. Extra-Tropical cyclones are also called Temperate cyclones or middle latitude cyclones Frontal cyclones or Wave Cyclones).

• Tropical cyclones develop in the region between the Tropics of Capricorn and Cancer
• Extratropical cyclones occur in temperate zones and high latitude regions.
• An anticyclone is the opposite of a cyclone i.e. i.e., it has an outward-spiraling air circulation around a high-pressure center.

The correct answer is the Law of Segregation

Key Points

• When an organism makes gametes, each gamete receives just one gene copy, which is selected randomly. This is known as the law of segregation.
• It is one of the three laws of inheritance.
• law of independent assortment and law of dominance are the other two.

Additional Information

• The Law of Paired factor states that paired unit factors (genes) must segregate equally into gametes such that offspring have an equal likelihood of inheriting either factor.
• Mendel's law of independent assortment states that the alleles of two (or more) different genes get sorted into gametes independently of one another.
• The Law of dominance is that When parents with pure, contrasting traits are crossed together, only one form of trait appears in the next generation. The hybrid offsprings will exhibit only the dominant trait in the phenotype.” The Law of dominance is known as the first law of inheritance.

The correct answer is Joule - Work and Ampere - Current

Key Points

 Joule - Work:

• The SI unit of work is Joule (J).
• It is equal to the work done by the force of one Newton acting through one meter.
• It is named in honor of the English physicist James Prescott Joule.
• It equals 107 ergs or approximately 0.7377 foot-pounds.

Ampere - Current

• An ampere is a unit of measure of the rate of electron flow or current in an electrical conductor.
• One ampere of current represents one coulomb of electrical charge (6.24 x 10¹⁸ charge carriers) moving past a specific point in one second.

 Watt - Power

• The watt (symbol: W) is a unit of power or radiant flux.
• It is defined as a derived unit of (in SI base units) 1 kg⋅m2⋅s−3 or, equivalently, 1 joule per second.
• It is used to quantify the rate of energy transfer.

The correct answer is nearness to the equator

Key Points

• The most important climatic control is latitude.
• Latitude affects the temperature of a place.
• The places which are located towards the equator receive more sunlight and are hotter than the places located at higher latitudes.
• Sunlight also affects precipitation or rainfall.

Additional Information

• The Tropic of Cancer divides into two halves, it passes through India from Mizoram in the East to the Rann of Kuchchh in the West.
• The area of India, lying to the North of the Tropic belongs to the Subtropics and the other half of the country which lies south of the Tropic of Cancer belongs to the Tropical area.
• Hence, Indian climatic conditions have the characteristics of both subtropical and tropical climates.

The correct answer is 'Narmada'.

Key Points

• Indira Sagar Dam is a dam built on the Narmada River in Madhya Prades in the Khandwa district.
• It is a multipurpose dam.
• The foundation of this dam was laid on 23 October 1984 by the then Prime Minister of India, Indira Gandhi.
• The construction of the main dam started in 1992.
• Next to this, there are many dams on the Narmada river under Omkareshwar, Maheshwar, and Sardar Sarovar projects.

Thus, the correct answer is Narmada.

Additional Information Let's have a look at other options:

The correct answer is 'Widow Remarriage'.

Key Points

• Veeresalingam Pantulu (16 April 1848 – 27 May 1919) was a famous social reformer and writer of the modern period of Telugu literature.
• He was known by the title 'Gadya Tikkana' and was often considered 'Raja Ram Mohan Roy' of Andhra.
• Born in a Brahmin family, Veeresalingam Pantalu was a staunch opponent of the caste system and started the anti-caste movement.
• He established widow ashrams and formed an association for Widow Remarriage in Madras Presidency.
• To encourage women's education, he established schools for girls in 1874 at Dowlaiswaram near Rajahmundry.
• Veeresalingam Pantulu earned a reputation as the first novelist, the first playwright, and the originator of modern journalism.

Thus, the correct answer is Widow Remarriage.

Additional Information Let's have a look at other options:

The correct answer is '43 B'.

Key Points

• Directive Principle of State Policy:
• ​In the Indian Constitution, the Directive Principles of State Policy have been taken from Ireland.
• It means that both the Central and the State governments have been instructed in the Constitution that if any law has to be made in relation to the people, then while doing this, the Directive Principles of State Policy given in the Constitution should be kept in mind.
• These principles are mentioned in the Indian Constitution from Article 36 to Article 51, and in Part 4.
• Directive Principles of State Policy mean what kind of facilities the government should provide to the public, and what the government should do, these related provisions have been told in the Indian Constitution as the Directive Principles of State Policy.
• Directive Principles of State Policy show the responsibility of the government, we cannot challenge the government in court like fundamental rights.
• Article 43 B:
• ​​​Article 43B states that the State shall endeavour to promote voluntary formation, autonomous functioning, democratic control, and professional management of cooperative societies.

Thus, the correct answer is 43 B

Additional Information

Let's have a look at other options:

The correct answer is 'Right to strike.

 Key PointsLet's have a look at all options:

But there is no such right as 'Right to Strike'. Thus, the correct answer is Right to strike.

Additional Information

• Right to Freedom
• The objective of the Indian Constitution is to ensure freedom of thought, expression, belief, religion, and worship. Therefore, the Right to Freedom has been mentioned in the Indian Constitution from Articles 19 to 22.
• In these, provisions have been given keeping in mind all the sections of the people of the country, so that any person can do any work of his mind, but that work should not be illegal and unconstitutional, nor should that work be done by any other person such that the fundamental rights should be violated.
• Article 19 of the Indian Constitution is most important in this regard. Article 19 of the Indian Constitution at present describes only 6 freedoms for the citizens of the country, which are as follows
• Freedom of thought and expression
• Freedom of arms and peaceful assembly.
• Community and freedom of association
• Freedom of travel
• Freedom of residence
• Freedom of trade
• Article 20 offers protection in respect of conviction for offences.
• Article 21 offers protection of life and personal liberty.
• Article 22 offers protection against arrest and detention in certain cases.

Confusion PointsCitizens were granted 7 freedoms by Article 19 of the original constitution, and the sixth of these freedoms was "Freedom of Property", which was defined by the 44th Constitutional Amendment of the Indian Constitution as the fundamental right to property as well as "Freedom of Property". has been abolished. But the right to property is still not completely separated from the Indian Constitution, Right to Property is still a constitutional right, and is described in Article 300 'A' of the Indian Constitution.

The correct answer is 'Sagar Samrat'.

Key Points

• Sagar Samrat
• The Bombay High oil-producing field is located in the Arabian Sea off the Mumbai coast.
• It is currently the largest oil-producing region.
• Here a specially designed water platform named Sagar Samrat has been built in the sea where oil is extracted from the sea by digging a well from a depth of over 1400m.
• There are huge oil reserves here.
• The crude oil obtained from here is piped to Trombay Refinery to be cleaned.

Thus, the correct answer is Sagar Samrat

Additional InformationLet's have a look at other options:

• INS Sagardhwani
• ​INS Sagardhwani (A74) is a marine acoustic research ship (MARS) owned by the Naval Physical and Oceanographic Laboratory (NPOL), a DRDO laboratory, and is maintained and operated by the Indian Navy, and based at Southern Naval Command, Kochi.
• INS Vikrant
• INS Vikrant, also known as IAC-1, is the first aircraft carrier built in India (Project-71).

The correct answer is 'Requirement of a stable government.

Key PointsIndia chose a Parliamentary system of government because of the following reasons:

• Familiarity with the system.
• Heterogeneous nature of Indian society.
• Preference for more responsibility.

The requirement of a stable government was not the reason behind it.

Thus, the correct answer is the Requirement of a stable government.

Additional InformationLet's understand other options briefly:

• India became familiar with Parliamentary System during British Raj.
• India is known for its Unity in Diversity. Peoples belonging to different castes, religions, etc. reside in India.
• Parliamentary System gives preference to more responsibility by holding politicians accountable.

The correct answer is 'Five'.

**Key Points:**Five Indian States share a border with Nepal. They are as follows:

• Uttarakhand
• Uttar Pradesh
• Bihar
• West Bengal
• Sikkim

Thus, the correct answer is Five.

Hint:

The trick to remember the Indian States sharing a border with Nepal:

SUBBU

S - Sikkim

U - Uttar Pradesh

B - Bihar

B - Bengal (West Bengal)

U - Uttarakhand

The correct answer is '1993'.

Key PointsVohra Committee:

• In 1993, the Vohra Committee was formed by the PV Narasimha Rao government.
• It drew everyone's attention to the nexus of politicians, criminals, and bureaucrats, and the solution was also told.
• This committee was headed by the then Home Secretary NN Vohra.
• The members of the committee included the Secretary of RAW and IB, the Director of CBI, and the Special Secretary (Internal Security and Police) of the Ministry of Home Affairs.
• The Vohra Committee was formed when the 1993 Mumbai (Bombay) bomb blasts took place. The Intelligence and investigative agencies had given a detailed report about the activities and relations of the Dawood Ibrahim gang.
• The Vohra Committee on the criminalisation of politics submitted its report in the year 1993.
• The report of the Vohra committee has not been made public yet.

Thus, the correct answer is 1993.

The correct answer is 'Luni river'.

Key Points Dholavira -

• It is a site belonging to Indus Civilisation.
• It is situated on the bank of the river Luni, in Kutchh District of Gujarat state in India,
• The excavator was J.P. Joshi (1967-68).
• A unique water harnessing system and its stormwater drainage system, a large well, and a bath (giant water reservoirs) were excavated from here.

Thus, the correct answer is Luni river

Additional InformationLet's have a look at other options: 

The correct answer is 'Sher Shah Suri'.

Key Points

• Sher Shah Suri (1540-45):
• ​He was the son of Hasan Khan,the Jagirdar of Sasaram. Ibrahim Lodhi transferred his father's Jangir to him.
• In 1539, he defeated Humayun in the Battle of Chausa and assumed the title of Sher Shah as emperor.
• He improved communications by building several highways.
• He built the Grand Trunk Road (G.T. Road) that runs from Calcutta to Peshawar.
• Grand Trunk Road:
• ​The Grand Trunk Road is one of the oldest and longest routes in South Asia.
• For more than two centuries, this route connected the eastern and western parts of the Indian subcontinent.
• It starts from Chittagong in Bangladesh, west of Howrah, and travels through Lahore (Pakistan) to Kabul in Afghanistan.
• In the olden times, it was also known as Uttarpath, Shah Rah-e-Azam, Sadak-e-Azam, and Badshahi Road.

Thus, the correct answer is Sher Shah Suri.

Additional Information

The correct answer is 'GST, custom duty'

Key PointsLet's have a look at all options:

From the above table, we can see that only option 4 is correct.

Thus, the correct answer is GST, custom duty.

Additional Information

• Indirect Tax:
• ​Indirect tax is an indirect tax collected by a single entity in the supply chain (usually a producer or retailer) and paid to the government but passed on to consumers as part of the purchase price of the goods or services.
• Ultimately, it is the consumer who pays the tax by way of overpaying for the product.
• Direct Tax:
• ​Direct tax is a tax that a person or organization pays directly to the entity that has levied it.
• A particular taxpayer pays direct tax to the government for various purposes.
• There are also types of indirect tax such as sales tax, where the tax is levied on the seller but is paid by the buyer.

Hint

• Trick to remember Direct Taxes:

Wepro.co.in

• We  - Wealth Tax
• pro - Property Tax
• co - Corporate Tax
• in - Income Tax
• Trick to remember Indirect Taxes

 

EXCUSE ME

• EX - Excise Duty
• CU - Custom Duty
• SE - Service Tax
• M - Market Tax/ VAT
• E - Entertainment Tax

The correct answer is '22.4'.

Key PointsEconomic Survey 2018-19 

• It has been claimed in the Economic Survey 2018-19 that the population growth rate in India will decline sharply in the next two decades.
• The Economic Survey has analyzed that in the coming days, the country will get a demographic dividend (a situation where population growth starts to decline and the number of the working population starts increasing).
• The government presented the Economic Survey 2018-19 a day before the budget for the financial year.
• According to the Economic Survey 2018-19, the total birth rate in India in 2018-19 was 22.4.
• In nine states, including the southern states, Himachal Pradesh, Punjab, West Bengal and Maharashtra, the fertility rate is well below the replacement rate.
• Moreover, in densely populated states like Bihar, Uttar Pradesh, Jharkhand, Chhattisgarh, Rajasthan and Madhya Pradesh, the fertility rate is above the replacement rate, but it is declining faster than before.

Thus, the correct answer is 22.4.

Additional InformationReplacement rate refers to the rate at which there is no increase in the population of a country. This means that as many people die, almost as many people are born. In such a situation the replacement rate is considered to be zero.

The correct answer is 'October - November'.

Key Points

• Tamil Nadu coast receives heavy rainfall in October and November above normal.
• While the lingering South West Monsoon brings a large part of the excess rainfall in the first half of October, the unusually active North East Monsoon with a continuous supply of moisture from the Bay of Bengal has been the main reason for the high rainfall since late October.

Thus, the correct answer is October - November

Additional Information

Monsoon of Tamil Nadu:

The state has three distinct periods of rainfall: advanced rainfall; rainfall from the tropical cyclones emerging in the neighbourhood of the Andaman Islands during the Retreat of Monsoons(October–November): and the North-East monsoon during the months of October–December, with dominant northeast monsoon winds from the western disturbances emerging over the Bay of Bengal.

The correct answer is '1'.

Key Points

Average propensity to consume (APC) measures the percentage of income that is spent rather than saved. This may be calculated by a single individual who wants to know where the money is going or by an economist who wants to track the spending and saving habits of an entire nation. In either case, the propensity to consume can be determined by dividing average household consumption, or spending, by average household income, or earnings.

When consumption is equal to income ( Consumption = Income), the value of average propensity to consume (APC) is =

Consumption / Income = 1

The correct answer is '10 years'.

Key Points Census in India:

• It was done for the first time in 1872 under the British Viceroy Lord Mayo.
• After that, it is conducted at intervals every 10 years.
• However, the first complete census of India was conducted in 1881.
• Since 1949, it is conducted by the Registrar General and Census Commissioner of India under the Ministry of Home Affairs, Government of India.
• All censuses after 1951 were conducted under the 1948 Census Act.
• As of 2011, the Census of India has been conducted 15 times.

Thus, the correct answer is 10 years.

The correct answer is 'Vivian Bose'.

Key Points

• The Chief Justice of India (CJI) is the head of the Indian judiciary and the Supreme Court.
• A total of 50 judges (including the current Chief Justice) have served as Chief Justices in the Republic of India so far.

Thus, the correct answer is Vivian Bose

Additional InformationJustice Shri HJ Kania was the first Chief Justice of India and the current Chief Justice is Justice Dhananjaya Yeshwant Chandrachud.

Let's have a look at other options:

The correct answer is 'India'.

Key Points

• The Constitution of India is the longest constitution in the world.
• There are a total of 470 Articles, and 12 Schedules in 25 parts in the Indian Constitution.
• Originally the Constitution of India was written in two languages, Hindi and English.
• It took a total of 2 years, 11 months, and 18 days to make the Indian Constitution.
• There are a total of 117,369 words in the English version of the Indian Constitution.
• The original copy of the Indian Constitution is handwritten.
• Dr. Bhimrao Ambedkar is called the Father of the Indian Constitution.

Thus, the correct answer is India.

Additional InformationLet's have a look at borrowed features:

• South Africa
• Constitutional Amendment with 2/3rd majority in Parliament.
• Elections of the members of Rajyasabha on the basis of Proportional Representation.
• Britain
• Parliamentary form of Govt
• Bicameralism
• Single Citizenship
• Office of CAG
• Lawmaking Procedures
• USA
• Fundamental Rights
• Judicial review
• Written Constitution

The correct answer is 'At the end of the Third Buddhist Council, Moggalliputta Tissa composed a book, the Kathavattu.'

Key Points

• Mahakasyapa was the president of the First Buddhist Council. Hence, option 1) is incorrect.
• The Second Buddhist Council was convened at Vaishali, Bihar around 383 BC. Hence, option 2) is incorrect.
• At the end of the Third Buddhist Council, Moggalliputta Tissa composed a book, the Kathavattu. Hence, option 3) is correct.
• The Second Buddhist Council was held in the reign of King Kalasoka.

Thus, the correct answer is At the end of the Third Buddhist Council, Moggalliputta Tissa composed a book, the Kathavattu.

Additional Information

The correct answer is 'Pandit Madan Mohan Malaviya'.

Key Points

• Banaras Hindu University:
• Banaras Hindu University is a central university located in Varanasi.
• It is often called BHU.
• This university was established (Varanasi Hindu University Act, Act No. 16, 1915) by Pandit Madan Mohan Malaviya in the year 1916 on the holy day of Basant Panchami.
• Maharaja Rameshwar Singh of Darbhanga donated the necessary resources for the establishment of the university.
• Central Hindu College established and run by Dr. Annie Besant had a major role in the origin of this university.
• The University has the status of "Institution of National Importance".

Thus, the correct answer is Pandit Madan Mohan Malaviya

Additional Information

• Pandit Madan Mohan Malaviya:
• ​Pandit Madan Mohan Malaviya (25 December 1861 – 12 November 1946) was the founder of Banaras Hindu University.
• He was the first and last person in India to be bestowed with the honorific title of Mahamana.
• This great man devoted his life to journalism, advocacy, social reform, and the service of Mother India.

The correct answer is 'Bihar'.

Key Points

Jat-Jatin is a form of folk dance of originated in Bihar. There are two dancing groups in this, who wish for a happy married life by dancing, singing, arguing, persuading, and respecting.

Thus, the correct answer is Bihar.

Additional InformationLet's have a look at other options:

Given:

HCF of 1.2 and 0.12.

Concept used:

Convert the given decimals into decimals in which the number of digits after the decimal point are the same.

In order to remove the decimals we will multiply both the numbers by 100.

And, to get the answer in decimal form as per the question we will divide the answer by 100 (as we have previously multiplied it by 100.)

Calculations:

HCF of 1.2 and 0.12:

1.2 will become 1.20 and 0.12 will remain the same.

Now, 1.20 × 100 = 120 and, 0.12 × 100 = 12

So, now our numbers are 120 and 12.

Clearly, the HCF of 120 and 12 is 12.

Factors of 12 = 2 × 2 × 3 and, factors of 120 = 2 × 2 × 2 × 3 × 5.

∴ H.C.F of 12 and 120 is 12 (being the common factors 2 × 2 × 3)

Now, the required answer will be = $\dfrac{{12}}{{100}}$ = 0.12

∴ The answer is 0.12

Given:

Sides of a triangular portion are in a ratio of 15 : 13 : 14.

Perimeter is 42 m.

Concept used:

Let the sides of the triangle be 15a, 13a, 14a.

Perimeter of the triangle = sum of all the sides of a triangle (a + b + c)

'S' be the semi perimeter = $\dfrac{(a + b + c)}{2}$

(where, a, b, c are the sides of the triangle)

Area of the triangle = √[s(s - a)(s - b)(s - c)]

Calculations:

Perimeter of the triangle => 15a + 13a + 14a = 42a

=> 42 = 42a

=> a = 1 m

So, the sides of the triangle are 15a = 15 m, 13a = 13 m and 14a = 14 m.

S = $\dfrac{(15 + 13 + 14)}{2}$

= 42/ 2 = 21 m.

Area = √[21 × (21 - 15) × (21 - 13) × (21 - 14)]

=> √(21 × 6 × 8 × 7) = 84 m².

Altitude corresponding to the longest side => (1 / 2) × 15 × a = 84.

a = 11.2

∴ The altitude corresponding to the longest side is 11.2 m.

Given:

The radius of a sphere is increased by 3 cm.

Surface area is increased by 264 cm².

Formula used:

Surface area of the sphere = 4πr².

Let, the initial radius of the sphere be r cm.

a² - b² = (a + b)(a - b)

Calculation:

The initial radius of the sphere = r cm.

So, Increased radius of the sphere = (r + 3) cm.

4π(r + 3)² - 4πr² = 264

4π[(r + 3)² - r²] = 264

(r + 3 - r)(r + 3 + r) = $\frac{{264}}{{4}}$ × $\frac{{7}}{{22}}$

3 × (2r + 3) = 21

2r + 3 = 7

2r = 7 - 3

r = $\frac{{4}}{{2}}$ = 2cm.

∴ The initial radius is 2 cm.

Given:

Population of the town increases at a rate of 3%.

Present population is 25,000.

Formula used:

A = P[(1 +$\dfrac{{R}}{{100}}$)ⁿ] [where, A = new population, P = present population, R = rate, n = number of years]

Calculation:

The population of the town after 3 years is New population = 25000[1 + $\frac{{3}}{{100}}$ ]³

New population = 25000 × ($\dfrac{{103}}{{100}}$)³;

New population = 25000 × $\dfrac{{103 × 103 × 103}}{{100 × 100 × 100}}$

New population = $\dfrac{{103 × 103 × 103}}{{40}}$

New population = 27318.(approx)

∴ The answer is 27318

Concept used:

Let, a = 5.62 and b = 2.31

a³ - b³ = (a - b)(a² + ab + b²)

Calculation:

$\dfrac{(5.62)³- (2.31)³}{(5.62)² + (5.62 × 2.31) + (2.31)²}$

= $\dfrac{(5.62³) - (2.31³)}{(5.62² + 5.62 × 2.31 + 2.31²)}$

= $\dfrac{(5.62 - 2.31)(5.62² + 5.62 × 2.31 + 2.31²)}{(5.62² + 5.62 × 2.31 + 2.31²)}$

5.62 - 2.31 = 3.31

∴ The answer is 3.31

Given:

Each side of 3 cubes is 5 cm, which are placing adjacent to each other.

Formula used:

Volume of the new cuboid = length(l) × breadth(b) × height(h).

Calculations:

Let, length = 3 × 5 = 15 cm, breadth = 5 cm and, height = 5 cm.

Volume of the new cuboid = l × b × h = 15 × 5 × 5 = 375 cm³.

∴ The volume of the cuboid is 375 cm³.

Shortcut Trick

Required number = LCM (10, 14, 12, 8) + Common Remainder

Prime factors of 10, 14, 12, 8 are used to find LCM.

LCM (10, 14, 12, 8) = 840

Required number = 840 + 7 = 847

∴ The correct answer is 847.

Alternate Method

Given: Divisors are 10, 14, 12, and 8. The remainder in each case is 7.

Formula Used: The least number which when divided by x, y, and z leaves the same remainder 'r' is (LCM of x, y, z) + r.

Step 1: Find the Prime Factorization of the given numbers:

⇒ 10 = 2 × 5

⇒ 14 = 2 × 7

⇒ 12 = 2² × 3

⇒ 8 = 2³

Step 2: Calculate the LCM (highest power of each factor):

⇒ LCM = 2³ × 3 × 5 × 7

⇒ LCM = 8 × 3 × 5 × 7 = 840

Step 3: Add the constant remainder to the LCM:

⇒ Required number = 840 + 7

⇒ Required number = 847

∴ The correct answer is 847.

Additional Information

LCM Property for Same Remainder

When a number leaves the same remainder r when divided by a, b, and c, the general form is N = k × LCM(a, b, c) + r, where k is an integer.

LCM Property for Different Remainders

If divisors are a, b, c and remainders are r₁, r₂, r₃ such that (a−r₁) = (b−r₂) = (c−r₃) = k, then the number is LCM(a, b, c) − k.

HCF vs LCM

HCF is the largest number that divides the given numbers, while LCM is the smallest number divisible by the given numbers.

Given:

Mr. Sujit spends 80% of a salary on consumables and transport.

Spends 50% of remaining salary on clothes.

He saves Rs. 5000.

Calculations:

Let, Mr. Sujit's annual salary be x.

Amount spend on consumables and transport = 0.80x.

Remaining Salary = 1x - 0.80x = 0.20x

Amount spend on clothes = 0.50 × 0.20x = 0.10x.

Savings = x - (0.20x - 0.10x) = 0.10x.

Annual salary => 0.10x = Rs. 5000.

Annual salary(x) = Rs. 5000 × 10 = Rs. 50,000.

∴ The answer is Rs. 50,000.

Given:

Two successive discounts are 10% and 20%.

Buy 4 get 2 free.

Buy 5 get 6.

Formula used:

[a + b ±  $\dfrac{{ab}}{{100}}$]%. (where,a and b are the two successive discounts and '+'ve sign denotes the increase in successive discounts and '-'ve sign denotes the decrease in successive discounts)

Discount = $\dfrac{{free \ article}}{{total \ number \ of \ article}}$ × 100. [free article means the article which one person is getting as an extra after availing something by paying the full amount.]

 

Calculation:

I. Two successive discounts of 10% and 20%

So, effective discount for this scheme = [10 + 20 - $\dfrac{{10 × 20}}{{100}}$] = 28%

II. Buy 4 get 2 free.

So, the effective discount for this scheme =$\dfrac{{free \ article}}{{total \ number \ of \ article}}$ × 100 = $\dfrac{{4 - 2}}{{6}}$ × 100 = $\dfrac{{2}}{{6}}$ × 100 = 33.33%

III. Buy 5 get 6.

So, the effective discount for this scheme =$\dfrac{{free\ article}}{{article \ one \ have \ to \ buy}}$ × 100 = $\dfrac{{6 - 5}}{{6}}$ × 100 = $\dfrac{{1}}{{6}}$ × 100 = 16.67%

∴ The answer is Scheme II.

$\dfrac{{free \ article}}{{total \ number \ of \ article}}$ × 100

Given:

Rs. 4500 invested at the rate of 30% interest for 2 years interest.

Interest was compounded every 8 months.

Concept used:

 $A = P \left(1 + \dfrac{R}{100}\right) ^{n}$

(where 'R' is the rate, 'n' is the time, 'P' is the principal and, 'A' is the amount)

Calculations:

In 2 years there are 24 months and the rate is calculated every 8 months. So, for 8 monthly compound interest, n = $\dfrac{{24}}{{8}}$ = 3.

Now, 30% for 12 months.

1 month = $\dfrac{{30}}{{12}}$

8 months = $\dfrac{{30}}{{12}}$ × 8

R = $\dfrac{{8}}{{12}}$ × 30 = 20%.

A = 4500[1 + $\dfrac{{20}}{{100}}$]³

A = 4500[1 + $\dfrac{{1}}{{5}}$]³

A = 4500[($\dfrac{{6}}{{5}}$)]³

A = 4500 × [$\dfrac{{6 × 6 × 6}}{{5 × 5 × 5}}$]

A = 7776

∴ The amount payable is Rs. 7776

Given:

A pipe having an area of cross section 3 cm².

Time is given as 1 sec.

Speed of water in pipe is 25 cm/second.

Formula used:

Volume of water flows through pipe = area of cross section × speed of flow × time.

Calculations:

⇒ Volume of water flows through pipe = 3 × 25 × 1 = 75 cm³.

∴ The answer is 75 cm³.

Given:

The total surface area of a right circular cylinder is 1540 cm²

Height is 4 times that of the radius.

Concept used:

Let 'h' be the height of the cylinder.

'r' be the radius of the cylinder, where h = 4r.

Total surface area of the cylinder = 2πr(h + r)

Curved surface area of the cylinder = 2πrh

Calculations:

As, h = 4r,

Total surface area of a cylinder = 2πr(4r + r)

=> 1540 = 2πr(4r + r)

=> 1540 = 2 × (22/7) × r ×(5r) [where, π = 22/7]

=> r² = 49

=> r = √49 = 7 cm.

Now, the curved surface area of the cylinder = 2πrh = 2 × (22/7) × 7 × 28 [as, h = 4r = 4 × 7 = 28]

The curved surface area = 1232 cm²

∴ The answer is 1232 cm².

Given

\(\begin{array}{l} ,,\rm,,A\ \rm+ A\ \rm+ A\ ____\ \rm,,,,BA \end{array}\)

Concept:

RULES FOR CRYPTARITHMETIC PROBLEMS:

• ​Alphabets can take up only one distinct value.
• Alphabets can only take up values between 0-9.
• Decoded numbers can’t begin with 0, for example, 0813.
• Each Problem have a unique solution.

Firstly, assigning digits (0 to 9) to the alphabet A and whatever the value we are going to consider for A same has to be for the answer part A. It has to be only one specific value for A.

Calculations:

So, if we assume A as 5, then as per question,

\(\begin{array}{l} ,,\rm,,5\ \rm+ 5\ \rm+ 5\ ____\ \rm,,,,15 \end{array}\)

It is assigned as BA where A stands for 5 and B stands for 1.

∴ The answer is A = 5 and B = 1.

Given:

Average of 99 numbers is 27.

3 is added to each number.

Concept used:

Average = (sum of observations) / (number of observation)

Calculations:

27 = sum / 99

sum = 99 × 27

sum = 2673

Now, 3 is added to 99 numbers.

New total = 2673 + 99(3)

= 2673 + 297

= 2970

New average = 2970 / 99 = 30

∴ The new average is 30.

Given:

Average age of person of a colony is 14.2 years.

Average age of males is 15.6 years.

Average age of females is 13.8 years.

Concept used:

Average = $\dfrac{Total\ Sum}{Number\ Of\ Terms}$

Calculations:

Let, the number of males be 'x'.

The number of females be 'y'.

15.6 x + 13.8 y = 14.2 (x + y)

(15.6 - 14.2) x = (14.2 - 13.8) y

1.4 x = 0.4 y

$\dfrac{{x}}{{y}}$ = $\dfrac{{0.4}}{{1.4}}$ = $\dfrac{{2}}{{7}}$

x : y = 2 : 7

The ratio of males to the females is 2 : 7.

∴ The answer is 2 : 7.

Given: 

 $7.58\overline{3}$

Calculations:=0.09¯¯¯¯¯x=0.09¯¯¯¯¯x=0.09¯¯¯¯¯x=0.09x=0.09

The x can be written as

x = 7.5833333     ....(1)

Then multiplying 100 on both sides

⇒ 100x = 758.33333..and so on.   

⇒ 1000x = 7583.3333..and so on.     ....(2)

Now, 

⇒ 1000x - 100x = 7583.3333 - 758.33333...

⇒ 900x = 6825

⇒ x = 6825 / 900.

Diving both numerator and denominator by 75 

⇒ x = $\dfrac{91}{12}$

∴ The answer is $\dfrac{91}{12}$

Shortcut Trick $7.58\overline{3}$ = $\frac{7583-758}{10^3-10^2}$ = 6825/900 = 91/12

∴ So, the answer is $\dfrac{91}{12}$

Given:

The product of two whole numbers is 17.

Concept used:

The square root of the difference of the numbers = √(1st number - 2nd number)

Calculations:

As, 17 is a prime number.

So, its factors are 1 and 17 and thus, the numbers are 1 and 17.

Its difference = (17 - 1) = 16.

The square root of the difference of the numbers = √16 = 4.

∴ The answer is 4.

Given:

Average age of 29 students is 18.

The age of the teacher included in the class and the average becomes 18.2.

Concept used:

Average = (sum of observations) / (number of observations)

Calculations:

Sum of 29 students = 18 × 29 = 522

If a Teacher is included in the class then the total number of heads will be 29 + 1 = 30.

Then the average becomes 18.2 when the teacher is included in the class, so the sum of 30 heads in a class = 30 × 18.2 = 546

Therefore, teachers age = 546 - 522 = 24 years.

∴ The age of the teacher is 24 years.

Given:

H.C.F of 5² × 2³ × 7³ and 5 × 2⁵ × 7

Concept:

H.C.F = product of common prime factors having least powers.

Calculation:

Let, the common factors of 5² × 2³ × 7³ and 5 × 2⁵ × 7 be:

= 5 × 2³ × 7

∴ The answer is 5 × 2³× 7.

Given:

An item was sold at a cash discount of 10%

Marked price was Rs. 18,000 and the amount paid was Rs. 13,284.

Formula used:

Cash discount = $\dfrac{(selling\ price\ after\ trade\ discount - the\ amount\ paid)}{selling\ price\ after\ discount} × 100$

Selling price after discount = M.P. × (1 -$\dfrac{{trade \ discount}}{{100}}$)

Calculations:

10 = $\dfrac{(selling\ price\ after\ trade\ discount - 13284)}{selling\ price\ after\ discount} × 100$

Selling price after discount = Rs. 14,760.

Selling price after discount = 18000 × (1 -$\dfrac{{trade \ discount}}{{100}}$)

14760 = 18000 × (1 - $\dfrac{{trade \ discount}}{{100}}$)

Trade discount = 0.18

∴ The answer is 0.18

Given:

Two successive price increases 10% and 20% respectively on an article.

Formula used:

a + b (+/-) $\dfrac{{a × b}}{{100}}$ (where, a and b are the two successive discounts) ('+'ve sign denotes when the successive price indicates and '-'ve sign denotes when the successive discounts decreases)

Calculation:

a + b + $\dfrac{{a × b}}{{100}}$

=> 10 + 20 + $\dfrac{{10 × 20}}{{100}}$

=> 30 + 2 = 32%.

∴ The answer is 32%.

Given:

A merchant marks his goods up by 80% and then offers a discount on the marked price.

Concept used:

Let us assume the cost price to be 100.

Formula used:

% discount = (discount/marked price) × 100

Calculations:

As the cost price was assumed to be 100.

Therefore the merchant marked price will be = 80% of 100 + 100 = 180.

Now, the merchant offers a discount on the marked price which will results in the Merchant selling the article at no profit and no loss that is the merchant has sold the article at 100.

∴ Discount offered is 80.

Discount offered is usually measured as a percentage of the marked price.

Hence, % discount = (80 / 180) × 100 = 44.45%

∴ The answer is 44.45%.

Given:

A merchant marks his goods 15% above the cost price and 6% reduction on their bills are allowed.

Concept used:

Let us assume the cost price(C.P.) be Rs. 100.

Formula used:

Selling price(S.P.) = marked price(M.P.) - discount on M.P.(D%)

Profit(P)% = $\dfrac{{S.P. - C.P.}}{{C.P.}}$ × 100

Calculations:

If we assume C.P. as Rs. 100, then the goods are marked by 15%.

∴ M.P. = 15% of 100 + 100 = Rs. 115

S.P. = M.P. - D% on M.P.

S.P. = 115 - 6% of 115 = Rs. 108.1

Now, P% = $\dfrac{{108.1 - 100}}{{100}}$ × 100

P% = 8.10

∴ The answer is 8.10%.