DSSSB Junior Secretariat Assistant Official paper (Held on: 6 April 2022 Shift 1 ) (Previous Year Paper)

The pattern followed here is,

Let (1^st number : 2^nd number)

(Multiplication of digits of 1^st number ) = (2^nd number)

Now by following the same pattern we have:

98: 72 

⇒ (9 × 8) = 72 = 2^nd number

54: 20

⇒ (5 × 4) = 20 = 2^nd number

Similarly,

92:?

⇒ (9 × 2) = 18 =  2^nd number

Hence, the correct answer is "18".

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

According to the given information :

• Akash is Prerna's brother.
• Bharat is the maternal grandfather of Akash.​
• Sunita is the daughter of Bharat.​

​

• Chirag is Rahil's brother-in-law.
• Rohan is the son of Chirag.
• Sunita is Rohan's aunt.

​

Thus, it is clear from the above diagram that 'Prerna is cousin of Rohan'.

Hence, the correct answer is "Cousin".

The logic followed here is:

AD is related FI as follows :

And, EH is related to JM as follows :

Similarly, KN is related to :

Hence, the correct answer is "PS".

Alternate MethodThe logic followed here is:

AD is related FI as follows :

And, EH is related to JM as follows :

Similarly, KN is related to :

Hence, the correct answer is "PS".

Given equation: 18 + 9 ÷ 53 × 76 - 19 = ?

Concept used:

Follow the BODMAS rule as per the order given below:

According to the given information,

If '+' is interchanged with '×', and '-' is interchanged with '÷',  then the new equation thus formed is :

New Equation : 18 × 9 - 53 + 76 ÷ 19 = ?

Now, by following the BODMASS rule we have :

⇒ 18 × 9 - 53 + 76 ÷ 19 = ?

⇒ 18 × 9 - 53 + 4

⇒ 162 - 53 + 4

⇒ 166 - 53

⇒ 113

Hence, the correct answer is "113".

**Given

Statement:

**  X ≤ P = M ≤ N ≥ O > R = L > W ≥ K

Conclusions:

I. N ≥ X → TRUE (as X ≤ P = M ≤ N ≥ O > R = L > W ≥ K → clear relationship between N and X can be determined)

II. K < N → TRUE (as X ≤ P = M ≤ N ≥ O > R = L > W ≥ K gives; K < N → clear relationship between K and N can be determined)

Hence, the correct answer is "Both I and II".

According to the given information:

Sitaram walks towards the south, then turns right, then left, and then right.

So, the following diagram can be drawn :

Clearly, the direction in which Sitaram is facing now is 'West'.

Hence, the correct answer is "West".

According to the given information:

• Kiran walks 2 m towards the west.
• He takes a left turn and walks 3 m.
• He again takes a left turn and walks 3 m.
• Once again, he takes a left turn and walks 1 m.

The following diagram can be drawn according to the given condition:

• Clearly, the direction in which Kiran is facing now is 'North'.

Hence, the correct answer is "North".

Given Series: (Left) B 4 G ∞ T % 3 S D 2 @ 6 7 R Z Ω C & 5 M (Right)

As per the question,

• The fifteenth element from the left and end of given series

​(Left) B 4 G ∞ T % 3 S D 2 @ 6 7 R Z Ω C & 5 M (Right)

fifteenth element = Z

• The eighth element to the left of the fifteenth element from the left and end of given series

​(Left) B 4 G ∞ T % 3 S D 2 @ 6 7 R Z Ω C & 5 M (Right)

Therefore, the eighth element to the left of the fifteenth element from the left and end of given series is '3'.

Hence, the correct answer is "3".

The logic followed here is:

A2C is related to K12M as follows:

And,

I10K is related to N15P.

Similarly,

Q18S is related to :

Hence, the correct answer is "T21V".

According to the given information :

 

Thus, 'Refreshes' is coded as '9'.

Hence, the correct answer is "9".

Given :

HAZE   MANY   TINY   SAME

If the first letter of each word is replaced by its previous letter :

GAZE   LANY   SINY   RAME

GAZE → The word 'GAZE' means to look steadily for a long time.

LANY → Not a meaningful word.

SINY → Not a meaningful word.

RAME → Not a meaningful word.

Hence, the correct answer "Haze".

Given equation : 66 ÷ (13.02 - 2) + 16.75  - 3.95 = ?

Concept used:

Follow the BODMAS rule as per the order given below:

Calculation:

⇒  66 ÷ (13.02 - 2) + 16.75  - 3.95 

⇒  66 ÷ 11.02 + 16.75  - 3.95 

⇒  5.9 + 16.75 - 3.95 

⇒ 22.65 - 3.95 

⇒ 18.7 ≈ 19

Hence, the correct answer is "19".

Shortcut TrickGiven equation : 66 ÷ (13.02 - 2) + 16.75  - 3.95 = ?

Calculation:

Replacing the given values with approximate values,

⇒  66 ÷ (13 - 2) + 17 - 4

⇒ 66 ÷ 11 + 17 - 4

⇒ 6 + 17 - 4

⇒ 23 - 4

⇒ 19

Hence, the correct answer is "19".

Given equation: 49 + M - ? × N = 5

Concept used:

Follow the BODMAS rule as per the order given below:

Decoding the information,

After replacing the sign from left to right, the new equation thus formed :

New Equation : 49 ÷ 7 - ? × 2 = 5

Calculation :

⇒ 49 ÷ 7 - ? × 2 = 5

⇒ 7 - ? × 2 = 5

⇒ - ? × 2 = 5 - 7

⇒ - ? × 2 = (-2)

⇒ - ? = (-2) ÷ 2

⇒ - ? = - 1 

⇒ ? = 1 

Hence, the correct answer is "1".

According to given information :

Satyendra is facing west. He goes straight for 15 meters, turns left and walks 10 meters, then turns right and goes 15 meters, and turns right again and covers a distance of 10 meters. 

The following diagram can be drawn according to given condition :

Clearly, the direction in which Satyendra is going now is 'North'.

Hence, the correct answer is "North".

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

According to the given information:

• Hrithik's mother is the sister of Atharva's father.

• Kishore is married to Rama, who is Atharva's mother.

• Here Rama is Atharva's mother.

• Pooran is the father of Rinki, who is the sister of Hrithik.

• Here Rinki is the sister of Hrithik.

• Payal is married to Puran.

Thus, it is clear from the above diagram that 'Kishore is maternal uncle of Rinki'.

Hence, the correct answer is "Maternal uncle".

The pattern followed here is,

Let (1^st number : 2^nd number)

1^st number × (Multiplication of digits of of 1^st number ) = (2^nd number)

Now by following the same pattern we have:

32 : 192

⇒ 32 × (3 × 2) = 32 × 6 = 192 (2^nd number)

43 : 516

⇒ 43 × (4 × 3) = 43 × 12 = 516 (2^nd number)

Similarly,

62 : ?

⇒ 62 × (6 × 2) = 62 × 12 = 744=  2^nd number

Hence, the correct answer is "744".

According to the given question,

There are six such pairs in the word 'LABORER'.

Pairs : LO, LR, AB, AE, BE, OR

Hence, the correct answer is "Six".

Given Equation : T > C > A = M > J < Q

The logic followed here is :

Option 1) A ≠ T → True (as T > C > A = M > J < Q → A < T)

Option 2) J < C → True (as T > C > A = M > J < Q → J < C)

Option 3) A < Q → False (as T > C > A = M > J < Q → Clear relationship between A and Q cannot be determined)

Option 4) T > M → True (as T > C > A = M > J < Q → T > M)

Therefore, A < Q conclusion cannot be said definitely false/true.

Hence, the correct answer is "A < Q".

Given

Statement:

D > B ≥ A = C, A < E ≤ F

On combining :  D > B ≥ A = C; C = A < E ≤ F

Conclusion:

I. E > B → FALSE (as D > B ≥ A = C;  C = A < E ≤ F gives; E > C and C < B → clear relationship between B and C cannot be determined)

II. F > C → TRUE (as C = A < E ≤ F gives; F > C → clear relationship between F and C can be determined)

Hence, the correct answer is "Only conclusion II is true".

According to given information:

Thus, 'green' is coded as "dc".

Hence, the correct answer is "dc".

1. Seema is standing nineteenth from the right, facing south.

2. Shekhar is standing fourth to the left of Seema and tenth from the left.

 

Shekhar position from the right:

=> Shekhar position from the right = Seema position from the right + Shekhar position from the Seema

=> Shekhar position from the right = 19 + 4 = 23^th

The total number of people in a row:

=> The total number of people = Shekhar position from the right + Shekhar position from the left - 1

=> The total number of people = 23 + 10 - 1 = 33 - 1 = 32

Hence, a total of “32” people in the row.

The pattern followed here is:

Hence, '155' is the correct answer.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'QNK’.

Hence, “QNK” is the odd one.

Table show alphabet serial number –

The pattern followed is,

All follow the same pattern, except 'YUR’.

Hence, “YUR” is the odd one.

Given:

• P, Q, R, S and T are sitting in a row facing towards the East.

1. R is sitting second to the right of S.

2. R is second to the left of P, who is sitting to the immediate right to Q.

3. Only T is left so the final sitting arrangement is:

Hence, "T" is sitting at the second position from the left end.

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

1. In 1^st, 3^rd and 5^th figure the signs are rotated clockwise direction in each box.

2. In 2^nd , 4^th and 6^th figures the signs are rotated clockwise direction in each box.

Final series is:-

Hence, ‘option 1’ is the correct answer.

The table is alphabets place value:

The pattern followed here is:

 

Hence, '28KO' is the correct answer.

Statements:

I. Few stars are planets.

II. Few planets are satellites.

The least possible diagram for the given statements is as follows

Conclusions:

I. Few stars are satellites → False (Because direct relationship between stars and satellites is not given so it may be possible but not defined)

II. Few stars are not satellites → False (Because direct relationship between stars and satellites is not given so it may be possible but not defined)

Conclusion I and II are not complementary pairs.

Hence, “Neither conclusion I nor II follows".

Additional Information

In Syllogism Either - or occurs in conditions mentioned below,

Both the individual conclusions should be false.

One conclusion should be positive and one conclusion should be negative.

Subject and predicate should be the same.

There should either one of the following pairs present in the

Conclusions:

Some + No

All + Some Not

Mistake Points Some + Some Not is not either or.

The pattern followed here is,

Hence, “121HK” is the complete series.

The pattern follows here:

• The three lines outside the hexagonal are in front of the dark side leaf of the flower inside the hexagonal.

Check all the options:

Option 1: 

The lines are in front of the dark side leaf of the flower.

Option 2: 

The lines are in front of the dark side leaf of the flower. 

Option 3: 

The lines are in front of the light side leaf of the flower. 

Option 4: 

The lines are in front of the dark side leaf of the flower. 

Hence, "Option 3" is the correct answer.

Given:

A certain number of people are sitting in a row, facing North.

1. Exactly seven people sit between P and S, while S is on the right side of P.

2. Q sits third to the left of S.

3. P sits third to the right of R.

4. Exactly three people sit between S and T, while T is on the right side of S.

5. U sits fourth to the right of T.

Hence, "20" total number persons are seated

The image obtained when the paper is unfolded is,

Hence, option 2 is the correct answer.

The table is alphabets place value:

ABWX is related to YZCD

And

EFST is related to UVGH

Similarly,

'IJOP' = ?

Hence, 'IJOP' is related to "QRKL".

The logic followed here is:

In figure A and B:

• First, we transfer into a mirror image of the given image then this mirror image is transferred into a water image.

Similarly, 

In figure C and D:

• First, we transfer into a mirror image of the given image then this mirror image is transferred into a water image.

Hence, "Option 4" is the correct answer.

The image obtained when the paper is unfolded is,

Hence, option 2 is the correct answer.

The table is alphabets place value:

The pattern followed here is:

Hence, 'O(11)R' is the correct answer.

The pattern followed here is:

 

Hence, '113' is the correct answer.

The pattern follows here is:

Inside and outside shapes interchange their positions.

The final series is:

Hence, ‘option 2' is the correct answer.

The shaded part represents the total number of students like both cricket and badminton.

The total number of students like both cricket and badminton = 21 + 28 = 49

Hence, ‘49’ is the correct answer.

The shaded part represents the total number of students like both carrom and cricket, but not badminton.

The total number of students like both carrom and cricket, but not badminton = 15

Hence, ‘15’ is the correct answer.

The correct answer is JJ Thomson.

Key Points

• Sir JJ Thomson helped revolutionize the knowledge of atomic structure by his discovery of the electron.
• An electron is a negatively charged subatomic particle.
• It can be either free (not attached to any atom) or bound to the nucleus of an atom.
• Electrons in atoms exist in spherical shells of various radii, representing energy levels. The larger the spherical shell, the higher the energy contained in the electron.
• In electrical conductors, current flow results from the movement of electrons from atom to atom individually, and from negative to positive electric poles in general.

Additional Information

WC Rontgen :

• He was a physicist who was a recipient of the first Nobel Prize for Physics, in 1901, for his discovery of X-rays, which heralded the age of modern physics.
• X-rays are made by using external radiation to produce images of the body, its organs, and other internal structures for diagnostic purposes.

James Chadwick :

• James Chadwick made a fundamental discovery in the domain of nuclear science.
• He proved the existence of neutrons which are elementary particles devoid of any electrical charge.
• A neutron is a subatomic particle found in the nucleus of every atom except that of simple hydrogen.

Robert Brown :

• Robert Brown was a Scottish Botanist who was responsible for the discovery of the nucleus of the cell.
• He is responsible for discovering the Brownian motion which is the random movement of microscopic particles.

The correct answer is Golgi Bodies

Key Points

• A Golgi body, also known as a Golgi apparatus, is a cell organelle that helps process and package proteins and lipid molecules, especially proteins destined to be exported from the cell.
• Named after its discoverer, Camillo Golgi, the Golgi body appears as a series of stacked membranes.
• The Golgi is located right near the nucleus.
• The Golgi body is a portion of the cell that's made up of membranes.

Additional Information

Vacuoles :

• A vacuole is a membrane-bound cell organelle.
• In animal cells, vacuoles are generally small and help sequester waste products.
• In plant cells, vacuoles help maintain water balance.

Lysosomes :

• Lysosomes function as the digestive system of the cell.
• A lysosome has three main functions: the breakdown/digestion of macromolecules (carbohydrates, lipids, proteins, and nucleic acids),
• Cell membrane repairs, and
• Responses against foreign substances such as bacteria, viruses and other antigens.

Mitochondria :

• Mitochondria play an essential role in creating energy to drive cellular function and basically all of our biological processes.
• It is called Power House of the Cell.
• Chemical energy produced by the mitochondria is stored in a small molecule called adenosine triphosphate (ATP).

The correct answer is Gregor Mendel.

Key Points

• The Law of Independent Assortment states that different genes and their alleles are inherited independently within sexually reproducing organisms.
• Independent assortment is responsible for the production of new genetic combinations in the organism along with crossing over. Thus, it contributes to genetic diversity among eukaryotes.
• Like segregation, independent assortment occurs during meiosis, specifically in prophase, when the chromosomes line up in random orientation along the metaphase plate.

Additional Information

Francis Harry Compton Crick :

• He is best known for his work with James Watson which led to the identification of the structure of DNA in 1953.
• He along with James Watson and Maurice Wilkins received the 1962 Nobel Prize for Physiology or Medicine.

Friedrich Miescher :

• Friedrich Miescher isolated "nuclein," DNA with associated proteins, from cell nuclei.
• He was the first to identify DNA as a distinct molecule.l

James Dewey Watson :

• He was an American geneticist and biophysicist who played a crucial role in the discovery of the molecular structure of deoxyribonucleic acid (DNA), the substance that is the basis of heredity.

The correct answer is Tropical Monsoon climate

Key Points

• The tropical climate in the Köppen system is defined as having an average temperature in every month above 18°C.
• In the tropical monsoon type of climate, there are two dry seasons with low rainfall.
• Tropical monsoon climates are the intermediate climate between the wet Af (or tropical wet climate) and the drier Aw (or tropical savanna climate).
• The most important climate control in regard to the tropical climate types relates to the position of the Inter Tropical Convergent Zone or ITCZ.

Additional Information

Tropical Wet Climate :

• Tropical Wet gets its name from the regular rainfall it receives throughout the year.
• The reason it rains so much here is because of the regular warm temperatures, which evaporate water and keep the humidity high.

Tropical rainforest climate :

• They experience high mean annual temperatures, small temperature ranges, and rain that falls throughout the year. Regions with this climate are typically designated Af by the Köppen climate classification. A tropical rainforest climate is typically hot, very humid, and wet.
• The tropical rainforest biome has four main characteristics: very high annual rainfall, high average temperatures, nutrient-poor soil, and high levels of biodiversity (species richness).

Tropical wet and dry climate :

• Tropical wet and dry climates occur between 5° and 20° latitudes and receive less rainfall. Most of the rain falls in a single season. The rest of the year is dry.
• Few trees can withstand the long dry season, so the main plants are grasses.

The correct answer is Pfizer.

Key Points

• Pfizer is a messenger RNA (mRNA) vaccine.
• This type of vaccine uses a genetic code called RNA to make your body's cells produce the coronavirus’ specific spike protein.
• Pfizer, a US-based pharma giant, and BioNTech, a German biotechnology company, have together manufactured this vaccine.

Additional Information

AstraZeneca :

• The Oxford–AstraZeneca COVID‑19 vaccine, sold under the brand names Covishield and Vaxzevria among others, is a viral vector vaccine for the prevention of COVID-19.
• Developed in the United Kingdom by Oxford University and British-Swedish company AstraZeneca, using as a vector the modified chimpanzee adenovirus ChAdOx1.

Sputnik V

• Sputnik V is the world's first registered vaccine based on a well-studied human adenovirus vector platform.
• The vaccine is named after the first Soviet space satellite.
• Sputnik V was the first coronavirus vaccine to use a heterogeneous boosting approach based on 2 different vectors for 2 vaccine shots.

Covaxin :

• COVAXIN is India's indigenous COVID-19 vaccine by Bharat Biotech is developed in collaboration with the Indian Council of Medical Research (ICMR) - National Institute of Virology (NIV).
• The vaccine is developed using Whole-Virion Inactivated Vero Cell-derived platform technology.
• Inactivated vaccines do not replicate and are therefore unlikely to revert and cause pathological effects. They contain dead viruses, incapable of infecting people but still able to instruct the immune system to mount a defensive reaction against an infection.

The correct answer is Alcohol < Fused quartz< Canada Balsam < Sapphire

Key Points

• Refractive Index (Index of Refraction) is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density.
• The higher the refractive index the slower the light travels, which causes a correspondingly increased change in the direction of the light within the material.
• Most commonly it is used to measure the concentration of a solute in an aqueous solution.

Additional Information

• In electromagnetic waves, the speed is dependent on the optical density of the medium.
• Optical density is the tendency of the atoms in a material to restore the absorbed electromagnetic energy.
• The more optically dense material is, the slower the speed of light. One such indicator of the optical density of a medium is the refractive index.

The correct answer is Ministry of Commerce and Industry

Key Points

• The National Single Window System platform was soft-launched in September 2021 by the Ministry of Commerce and Industry.
• It is a one-stop digital platform that aims at allowing investors to apply for various pre-operations approvals required for commencing a business in the country.
• It makes the business registration process easier.

Additional Information

• It would become a “one stop shop” for state and Central government compliances and bring transparency, accountability and responsiveness to the ecosystem.
• It will also offer a Know Your Approvals service to inform businesses of the details of all the approvals.
• It will provide strength to other schemes e.g. Make in India, Startup India, PLI scheme etc.
• Jammu & Kashmir became the first Union Territory to be onboarded the National Single Window System (NSWS).

The correct answer is M3

Key Points

• The money supply is measured and categorized on a scale from narrow to broad.
• The money supply is typically through an “M” scale, where M0 includes the narrowest forms, and M4 includes the broadest forms – M0/M1/M2/M3/M4.
• Broad money (M3) includes currency, deposits with an agreed maturity of up to two years, deposits redeemable at notice of up to three months and repurchase agreements, money market fund shares/units, and debt securities up to two years.
• M3 is a measure of the money supply that includes M2 as well as large time deposits, institutional money market funds, short-term repurchase agreements (repo), and larger liquid assets.

Additional Information

• Narrow money is a way of measuring and categorizing the money supply within an economy. It includes specific kinds of money that are highly liquid.
• Narrow money can also be known as M1.
• M1 includes money in circulation plus checkable deposits in banks.
• M2 includes M1 plus savings deposits and money market mutual funds.

The correct answer is Liquid

Key Points

• The outer core is about 2,200 kilometers thick and is mostly composed of liquid iron and nickel.
• Earth's outer core is a fluid layer and lies above Earth's solid inner core and below its mantle.
• It is always at high temperatures ranging from 4,500 degrees Celsius to 6,000 degrees Celsius.
• The outer core creates Earth's magnetic field, which protects all life on Earth.

Additional Information

• Temperature, composition, and pressure differences that occur within the outer core cause convective motion of the fluid.
• In addition, the Coriolis force acting on the fluid organizes this motion into rolls aligned with the Earth’s spin axis.
• Electric current is generated inside each roll, which is the source of its magnetic field.
• As these magnetic fields act in the same direction, their effect adds up to create the overall geomagnetic field that extends far into space and protects the atmosphere of our planet against solar wind.

The correct answer is North-Western Gujarat

Key Points

• The semi-arid is a climate or place that is partially arid, or semi-dry and has less than 20 inches of rain each year.
• The semi-arid steppe type climate is denoted by BS-type climate.
• If the precipitation is in the range of 50%–100% of the threshold, the classification is BS (semi-arid: steppe climate).

Additional Information

• The Koppen climate classification is one of the most widely used climate classification systems.
• The Koppen climate classification divides climates into five main climate groups, with each group being divided based on seasonal precipitation and temperature patterns.
• The five main groups are A (tropical), B (arid), C (temperate), D (continental), and E (polar).
• Each group and subgroup is represented by a letter.

The correct answer is Karma and Paika.

Key Points

• Karma dance is a traditional dance of central and Eastern India annually performed during the karma festival.
• It is performed in the states of Chhattisgarh, Jharkhand, Madhya Pradesh, Odisha, and West Bengal.
• Karma means 'fate'.
• This folk dance is performed during the worship of the god of fate which is known as Karam Devta.
• Paika' is a traditional dance form associated with Jharkhand.
• Paika dance is mainly performed by the Munda community.
• Paikas were a group of soldiers who sacrificed their lives for the safety of the kingdom.
• This dance form represents the great war of the Munda community against the British.

Additional Information

Bihu:

• The Bihu dance is an indigenous folk dance from the Indian state of Assam related to the Bihu festival and an important part of Assamese culture.

Ojapali :

• Ojapali is a traditional shamanistic type of indigenous folk dance from Assam.
• It is believed to be one of the oldest art forms of Assam.

Devaraattam :

• Devaraattam is a beautiful folk art form of Tamil Nadu, also known as the celestial dance of the Devas(demigods), is an indigenous dance form of the Kambala Nayakars.

Kollattam :

• This is a stick dance and a very popular dance in Andhra Pradesh.
• The dance is performed by 8 to 40 artists as a group and every two artists are grouped as a pair.

Lavani :

• Lavani is a genre of music popular in Maharashtra.
• Lavani is a combination of traditional song and dance, which is particularly performed to the beats of Dholki, a percussion instrument.

Koli :

• Koli Dance is a popular folk dance in the Maharashtra and Goa states of India.
• The Koli Dance reflects the rhythm of the sea waves and all of the festivals of Kolis are always celebrated with Koli dance.

The correct answer is Lipaase - Liver

Key Points

• Lipase is an enzyme the body uses to break down fats in food so they can be absorbed in the intestines.
• Lipase is produced in the pancreas, mouth, and stomach.
• In most living organisms, lipase enzymes are essential for the digestion and transportation of lipids.

Additional Information

Ptyalin :

• Ptyalin is a starch hydrolyzing enzyme produced by human salivary glands.
• It is a form of salivary amylase. Ptyalin, which is secreted in the mouth, aids in the digestion of starch in the mouth.
• Ptyalin enzyme is present in the mouth and gets mixed with food to act on starches.

Trypsin :

• Trypsin is an enzyme that helps us digest protein.
• In the small intestine, trypsin breaks down proteins, continuing the process of digestion that began in the stomach
• Trypsin is produced by the pancreas in an inactive form called trypsinogen.

Pepsin :

• Pepsin is a stomach enzyme that serves to digest proteins found in ingested food.
• The Function Of Pepsin is:
• It helps in digestion.
• It breaks down the large polypeptides into smaller peptide fragments.
• Help break down dietary proteins like eggs, meat, seeds, and other dairy products.

The correct answer is Mendeleev

Key Points

• The periodic table of chemical elements organizes all discovered chemical elements in rows (called periods) and columns (called groups) according to increasing atomic number.
• Of these 118 elements, 94 occur naturally on Earth.
• The element which has the smallest atomic mass is Hydrogen (H), which has a proton and an electron.
• The atomic radius decreases as we move from left to right along the period. And The atomic radius increases down the group. Thus, helium is the smallest element, and francium is the largest.

Additional InformationSir JJ Thomson:

• Sir JJ Thomson helped revolutionize the knowledge of atomic structure by his discovery of the electron.
• An electron is a negatively charged subatomic particle.
• It can be either free (not attached to any atom) or bound to the nucleus of an atom.
• In electrical conductors, current flow results from the movement of electrons from atom to atom individually, and from negative to positive electric poles in general.

James Chadwick :

• James Chadwick made a fundamental discovery in the domain of nuclear science.
• He proved the existence of neutrons which are elementary particles devoid of any electrical charge.
• A neutron is a subatomic particle found in the nucleus of every atom except that of simple hydrogen.

The correct answer is They have a core of molten metals

Key Points

• The outer planets are gas giants.
• They are large balls of gases with rings around them.
• The outer planets are also called the Jovian planets.
• While the inner planets have few or no moons, the outer planets have dozens each.
• The inner and outer planets are separated by the asteroid belt. ​

Additional Information

Jupiter :

• Jupiter is the largest planet in our Solar System with a mass of more than three hundred times Earth’s mass.

Saturn :

• Saturn has a large number of rings around it.
• Saturn is the second largest planet in our Solar system and is part of the Outer planet.

Uranus :

• Uranus has the smallest mass of the outer planets, although in size it’s a little bigger than Neptune.
• It is the only planet to rotate on its side.

Neptune :

• Neptune is the final outer planet in the solar system. Neptune’s winds are the fastest of any planet in the Solar System.
• The methane in Neptune and Uranus is what gives the planets their blue color

Planets and Moons:

The correct answer is Odissi

Key Points

• Odissi, also known as Orissi, is one of the eight classical dance forms of India.
• It originates from the state of Odisha, in eastern India.
• Odissi dance pays great importance to Lord Jagannath who is considered to be the god of the universe and is worshipped by the people of Orissa.

Additional Information

Manipuri :

• Manipuri is an ancient classical dance form that originated in the northeastern state of Manipur in India.
• Performed as a dance drama, its central themes are the love stories of Krishna and Radha.
• The chief instruments used are the drum and the flute.

Sattriya :

• Sattriya originated in Sattra, a monastery, as a part of the neo-Vaishnavite movement started by Srimanta Sankardev in Assam, in the 15^th Century.
• Sattriya was given the status of classical dance in the year 2000 by the Sangeet Natak Akademi.
• Guru Jatin Goswami and Sharodi Saikia are prominent performers of this dance form.

Mohiniyattam :

• Mohiniattam or Mohiniyattam is an Indian classical dance form that evolved in the state of Kerala.
• Mohiniyattam's roots, like all classical Indian dances, are in the Natya Shastra.
• The Mohiniyattam Dance Dress is an off-white plain saree, embellished with a gold-laced or bright golden-colored brocade, embroidered on the borders.

The correct answer is Saikhom Mirabai Chanu

Key Points

• Indian weightlifter Saikhom Mirabai Chanu was born in Nongpok Kakching village of Imphal East district in Manipur.
• Mirabai Chanu won a silver in the women's 49kg category at Tokyo International Forum.
• She was awarded the sporting honour Major Dhyan Chand Khel Ratna by the Government of India in 2018.

Additional Information

Neeraj Chopra :

• Neeraj Chopra is an Indian track and field athlete who is the reigning Olympic champion and world championship silver medalist in the javelin throw.
• He is the first Asian athlete to win an Olympic gold medal in the men's javelin throw.
• He was awarded Major Dhyan Chand Khel Ratna in 2021.

Lovlina Borgohain :

• Lovlina Borgohain is an Indian boxer from the Golaghat district of Assam.
• She is a two-time World and Asian championship bronze-medallist.
• In 2020, she became the sixth person from Assam to receive Arjuna Award.

PV Sindhu :

• Pusarla Venkata Sindhu, known as PV Sindhu, is an Indian professional badminton player and the first Indian woman to win an Olympic silver medal.
• She is from Hyderabad.
• She is the first and only Indian to become the badminton world champion and only the second individual athlete from India to win two consecutive medals at the Olympic Games.

The correct answer is Assam

Key Points

• Bihu is the official state festival of Assam, which is celebrated thrice in a year.
• Bihu in Assam marks the three distinct phases of the farming calendar.
• Bihu is a secular festival that is celebrated by people from all parts of Assam irrespective of caste creed or religious background.

Additional Information

• The first Bihu is known as the Rongali Bihu or Bohag Bihu, which is celebrated in the month of April.
• The second Bihu is known as Kati Bihu or Kongali Bihu, which is celebrated during the month of October and
• Finally, there is Magh Bihu, which is observed during the month of January.
• New Year as per the Assamese calendar coincides with the beginning of the harvest season, which is also known as Bohag Bihu.

Dances of Indian States:

The correct answer is Uttar Pradesh

Key Points

• Hockey Madhya Pradesh defeated Hockey Haryana 1-0 to win the 11^th Hockey India Senior Women National Championship 2021 which took place at Jhansi, Uttar Pradesh.
• The Punjab Hockey team stood at third place in the event.

Additional Information

• Haryana has emerged as the champion of the 12^th Senior Men’s National Hockey Championship by defeating Tamil Nadu.
• The tournament was held in Bhopal, Madhya Pradesh from April 6 to 17, 2022.
• Odisha women’s team won by defeating Karnataka by 2-0 in the final of the 12^th Hockey India Senior Women’s National Championship in 2022.
• The 12^th Hockey India Senior Women’s National Championship was held in Bhopal, Madhya Pradesh.

The correct answer is Goa

Key Points

• Remo Fernandes is a singer and musician from India with naturalized Portuguese citizenship.
• Known as a pioneer of Indian pop music, he performs pop/rock/Indian fusion and is also a film playback singer.
• He writes and sings his songs in five different languages: English, Hindi, French, Portuguese and Konkani.

Additional Information

• Pop music is the genre of popular music that produces the most hits.
• They have a good rhythm, and a catchy melody, and are easy to remember and sing along to.
• They usually have a chorus that's repeated several times and two or more verses.

String instruments and Indian musicians who play them:

 

The correct answer is Dholavira

Key Points

• Dholavira is one of the two largest Harappan sites in India and 5^th largest in the subcontinent.
• The site was unearthed by the Archeological Survey of India (ASI) in 1967.
• Dholavira has one of the world’s earliest water conservation systems ever excavated. Satellite pictures show a reservoir underground, an expertly constructed rainwater harvesting system extending from the walls of the city.
• UNESCO has included Dholavira of Kutch, Gujarat, in the list of World Heritage Sites in 2021.

Additional Information

Banawali :

• Banawali is an Indus Valley Civilization-era archaeological site in Fatehabad district, Haryana, India.
• Banawali, formerly known as Vanavali, is located on the left bank of the dried-up Saraswati River.
• The archaeological site was discovered by R.S.Bisht in 1974.

Mohenjo Daro :

• Mohenjodaro is an Indus valley civilization site and is located in the Larkana district of Sindh province in Pakistan.
• Mohenjo-Daro was discovered in 1922 by R. D. Banerji.
• Mohenjo-Daro, Harappa, and Ganweriwala (all in Pakistan) and Rakhigarhi and Dholavira (both in India) are ranked as the first to the fifth biggest Harappan sites.

Suktagendor :

• Suktagendor is an archaeological site of the Indus Valley Civilization located on the Iran border in the Balochistan province of Pakistan.
• It is considered to be the westernmost site of the Indus Valley Civilization.
• Sutkagendor was discovered in 1875 by Major Edward Mockler.

The correct answer is 'Speaker'.

Key PointsHead of Lok Sabha

• Speaker is the Head of the Lok Sabha.
• Lok Sabha chooses one member from amongst its elected members as its Speaker.
• The Speaker is assisted in the conduct of business by the Deputy Speaker, who is also elected by the elected members of the Lok Sabha.
• The Speaker is responsible for conducting business in the Lok Sabha.
• At present, the Speaker of the Lok Sabha is Om Birla.
• The Speaker of the Lok Sabha has two functions-
• To preside over the Lok Sabha and maintain discipline, dignity and prestige in it. He is not liable before any court for this act.
• He is the administrative head of the secretariat attached to the Lok Sabha but in this role, he will be responsible before the court.

Thus, the correct answer is Speaker.

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

• Vice President
• In India, the post of Vice President is the second highest post in the executive after the President.
• The Vice President of India also takes part in the legislative business as the Chairman of the Rajya Sabha.
• The current Vice President of India is Shri Jagdeep Dhankhar who was elected on 11 August 2022.
• President
• ​The President of India is the executive head of the Republic of India.
• The executive power of the Union is vested in him.
• He is also the Supreme Commander of the Indian Armed Forces.
• He is the one who imposes and removes all types of emergencies and declares war/peace.
• He is the first citizen of the country.
• Prime Minister
• ​The office of the Prime Minister of the Republic of India is the post of the head of government of the Indian Union.
• According to the Indian Constitution, the Prime Minister is the head of the Council of Ministers of the Central Government and the Chief Advisor to the President.
• He is the head of the executive of the Government of India and is accountable to the Parliament for the work of the government.

The correct answer is 'Our Census, Our Future'.

Key PointsCensus of India 2011:

• The 2011 census is the country's 15^th national census and the 7^th census after independence.
• The Census of the year 2011 was released on March 31, 2011, by the Union Home Secretary and R.G.I. of India.
• The slogan of Census 2011 was 'Our Census, Our Future'.
• Registrar General and Census Commissioner under whom Census 2011 was conducted - C. Chandra Mouli.
• It was conducted in two phases, house listing, and population enumeration.
• The Socio-Economic and Caste Census (SECC) was conducted in 2011 for the first time since 1931.

Thus, the correct answer is Our Census, Our Future

The correct answer is '5'.

Key Points

• The magnitude of the multiplier is directly related to the marginal propensity to consume (MPC).
• MPC is defined as the proportion of an increase in income that gets spent on consumption.
• The marginal propensity to consume is equal to ΔC / ΔY,
• ​where ΔC is the change in consumption, and ΔY is the change in income.
• For the formula, we use M to represent the multiplier and MPC to represent the marginal propensity to consume.
• The formula to determine the multiplier is: M = 1 / (1 - MPC)

Here, it is given that MPC = 0.8.

So, M = 1 / (1 - 0.8)

M = 1 / 0.2

M = 5

Thus, the correct answer is 5.

The correct answer is 'President '.

Key PointsArticle 240: Power of President to make regulations for certain Union territories -

• The President may make regulations for the peace, progress and good government of the Union territory of
• Andaman and Nicobar Islands;
• Lakshadweep;
• Dadra and Nagar Haveli;
• Daman and Diu;
• Pondicherry;
• Any regulation so made may repeal or amend any Act made by Parliament or any other law which is for the time being applicable to the Union territory and, when promulgated by the President, shall have the same force and effect as an Act of Parliament which applies to that territory.

Thus, the correct answer is President.

The correct answer is 'Article 22'.

Key Points Let's have a look at all options:

Thus, the correct answer is Article 22.

The correct answer is 'Article 46'.

Key Points Let's have a look at all options:

Thus, the correct answer is Article 46.

The correct answer is Babur.

Key Points

The first Battle of Panipat

• The First Battle of Panipat was fought on 21 April 1526 between Sultan Ibrahim Lodi and Babur of Delhi.
• Babur's army defeated more than one lakh of Ibrahim's soldiers.
• Thus the first battle of Panipat ended the 'Lodi dynasty' established by Bahlul Lodi in India.
• It was one of the first battles involving gunpowder, firearms and field artillery.
• In this war, Babur used the Tulugama method of higher combat skill for the first time in the war.
• Babur's guns proved decisive in battle, firstly because Ibrahim lacked any field artillery, but also because the sound of the cannon frightened Ibrahim's elephants, causing them to trample his own men.
• The Osmani method (the method of decorating the cannon) was also used by Babur in this war.
• In this battle of Panipat, Ibrahim Lodhi was killed on the battlefield. In this way Babur was victorious.

Thus, the correct answer is Babur.

The correct answer is 'Debendranath Tagore'.

Key PointsAdi Brahmo Samaj:

• Adi Brahmo Samaj was founded by Devendranath Tagore.
• After the split of the Brahmo Samaj, Devendranath Tagore founded the Adi Brahmo Samaj in 1866.
• The 'Bharatiya Brahmo Samaj' was established under the leadership of Keshav Chandra Sen.

Thus, the correct answer is Debendranath Tagore

 Additional InformationBrahmo Samaj:

• Brahmo Samaj is also known as Brahm Sabha.
• It was the first modern Hindu reform movement.
• It was founded by Raja Ram Mohan Roy in the year 1828.
• It can also be said to be the first attempt by Indians to reform their religion and put an end to its harmful practices.
• It was able to make great progress under Keshav Chandra Sen and established many branches all over India.
• The main statement of the Brahmo Samaj was 'Sarva Dharma Samabhav' i.e. all religions are equal and all religions should be respected equally.

The correct answer is 'Hindustan Aeronautics Limited'.

Key Points

Hindustan Aeronautics Limited (HAL)

• Hindustan Aeronautics Limited is a public company in India, which manufactures air plants.
• Its headquarter is in Bangalore.
• Started in December 1940 in Bangalore with the support of the erstwhile princely state of Mysore and the extraordinary visionary entrepreneur Shri Seth Walchand Hirachand.
• The supplies/services of HAL are primarily for the Indian Defense Forces, Coast Guard and Border Security Force.
• Transport aircraft and helicopters have also been supplied to Indian airlines and state governments.
• The company has forayed into the export sector in more than 30 countries through quality and affordable rates.
• Today HAL has 16 production units and 9 R&D centres across India.
• Its product line consists of 12 types of aircraft under indigenous research and development and 13 types of aircraft under license.
• HAL has so far produced more than 3300 aircraft, and over 3400 aircraft engines and overhauled more than 7700 aircraft and over 26,000 engines.

Thus, the correct answer is Hindustan Aeronautics Limited.

The correct answer is 'Atma Nirbhar Bharat'.

Key PointsAtma Nirbhar Bharat

• Atma Nirbhar Bharat is a popular phrase by the Prime Minister of India, Narendra Modi and the Government of India, regarding the economic vision and economic development in the country.
• In this context, the term is used as an umbrella concept with respect to making India a larger and more involved part of the world economy, pursuing efficient, competitive and flexible policies that encourage equity, and being self-productive.
• It is an advanced programme carried out by the Government of India focused on making India a self-sufficient country.
• On 12 May 2020, Prime Minister Narendra Modi made this public mention for the first time when he was announcing an economic package for the coronavirus pandemic.
• Under the Atmanirbhar Bharat Abhiyan, announcements were made for the welfare of micro, small and medium industries and many announcements were made for the poor, workers and farmers.
• Five pillars of Atma Nirbhar Bharat (self-reliant India campaign) – Economy, Infrastructure, Technology, Demography, and Demand.

Thus, the correct answer is Atma Nirbhar Bharat.

The correct answer is 'Jammu and Kashmir'.

Key PointsDardic languages 

• The Dardi or Dardic languages ​​are a sub-branch of the Indo-Aryan languages, whose most well-known language is Kashmiri.
• The Dardi languages ​​are spoken in northern Pakistan, north-eastern Afghanistan and the Indian Union Territory of Jammu and Kashmir.
• Among all the Dardi languages, Kashmiri has the highest status because it has its own popular literature and it is also recognized as an official language of India.
• Other well-known Dardi languages ​​are the Khowar language of the Chitral district of Pakistan, the Sheena language spoken in northern Kashmir, and the Pashai language, spoken in eastern Nuristan, Nangarhar and Kunar states of Afghanistan.

Thus, the correct answer is Jammu and Kashmir.

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

The correct answer is 'Firozbad: Ahmadullah Shah'.

Key PointsLet's have a look at all options:

Thus, the pair in option 3) is mismatched. Hence, the correct answer is Firozbad: Ahmadullah Shah.

Additional Information Revolt of 1857

• The revolt of 1857 was a major and important event against British rule.
• This revolution started in Meerut on May 10, 1857, and gradually spread to places like Kanpur, Bareilly, Jhansi, Delhi, Awadh etc.
• The revolution started as a military rebellion, but over time its form changed into a mass revolt against British power, which was called India's first war of independence.

The correct answer is 'the Himalayas'.

Key Points

• By virtue of its location and stupendous height, the Great Himalaya Range obstructs the passage of cold continental air from the north into India in winter.
• It acts as a climate divide between India and Central Asia.
• The Himalayas act as a barrier to cold winds that blow from central Asia and thus prevent the Northern Plains from becoming freezing cold.
• That's why, North India has milder winters as compared to central Asia, due to the presence of the Himalayas.

Thus, the correct answer is the Himalayas.

Additional Information 

• The Himalayas also act as a barrier to moisture-laden South West monsoon winds.
• When these winds strike the mountain, they cause rainfall in the Northern plains.
• Without the Himalayas, the South West winds would have blown over to Central Asia without causing rainfall in Northern Plains.

The correct answer is '₹27'.

Key PointsSuresh Tendulkar Committee 2009

• The people living in poverty in the country are calculated on the basis of the poverty line set by the Tendulkar Committee.
• According to the Tendulkar Committee, 21.9% of the total population of India lives below the poverty line.

Thus, the correct answer is ₹27.

The correct answer is 'Fiscal'.

Key Points

Fiscal deficit

• A fiscal deficit is a shortfall in the government's income relative to its expenditure.
• A fiscal deficit is calculated as a percentage of gross domestic product (GDP), or simply put, more dollars spent than income.
• In any case, the income figure includes only taxes and other revenues and does not include money borrowed to make up the shortfall.
• A fiscal deficit means the difference between the total income and expenditure of the government.
• In other words, it can be said that how much money the government will borrow to meet the expenditure, that amount is the fiscal deficit.
• Governments borrow money to pay for fiscal deficits, and whenever a government borrows money, this adds to its national debt.

Thus, the Fiscal Deficit is an indicator of the national debt. Hence, the correct answer is Fiscal.

Important Points 

• Budget Deficit
• ​A budgetary deficit is referred to as a situation in which the spending is more than the income.
• There are three types of budget deficits. They are explained as follows:
• Fiscal deficit - Fiscal deficit is defined as the excess of total expenditures over the total receipts, excluding the borrowings in a year.
• Revenue deficit - Revenue deficit is that which occurs when the government's total revenue expenditure exceeds its total revenue receipts.
• Primary deficit - Primary deficit is said to be the fiscal deficit of the current year subtracted from the interest payments that are pending on previous borrowings.

The correct answer is 'Kalashoka'.

Key Points 

Thus, the correct answer is Kalashoka.

The correct answer is 'Chandragupta Maurya'.

Key Points

Chandragupta Maurya

• Chandragupta Maurya (born: 345 BC, Ruled 321-297 BC]) was the great emperor of India.
• He founded the Maurya Empire.
• Chandragupta was successful in bringing the whole of India under one empire.
• Chandragupta Maurya was intelligent from his youth, he had all the qualities of a successful true ruler, which Chanakya recognized and gave him political and social education.
• Chandragupta Maurya defeated Alexander by following the Chanakya policy.
• When Chandragupta Maurya was 50 years old, he was inclined toward Jainism, his guru was also from Jainism whose name was Bhadrabahu.
• He became a follower of Jainism towards the end of his life.
• In 298 BCE, he gave his kingdom to his son Bindusara and went to Karnataka, where he meditated for 5 weeks without eating and drinking, which is called Santhara.
• This is how Chandragupta Maurya gave up his life.

Thus, the correct answer is Chandragupta Maurya.

Confusion Points Ashoka followed Buddhism while Chandragupta Maurya followed Jainism.

The correct answer is '93'.

Key PointsCabinet Mission 1946

• In 1946, British Prime Minister, Lord Attlee declared the visit of a three-member high-level delegation to India.
• In this delegation, the three members of the British cabinet were - Lord Pethick Lawrence (India Secretary), Sir Stafford Cripps (Chairman of the Board of Trade) and A.V. Alexander (1^st Lord of the Admiralty or Minister of the Navy).
• This mission was given specific powers and its task was to find ways and possibilities for the peaceful transfer of power to India.
• The mission held talks with representatives of the Indian National Congress and the All India Muslim League.
• After initial negotiations, the mission proposed the formation of a new government on 16 May 1946.
• 389 seats were kept in the Constituent Assembly.
• Out of which 292 were representatives of British provinces, 4 commissioners and 93 princely states.

Thus, the correct answer is 93.

Additional Information

• The Constituent Assembly was formed on 6 December 1946.
• Cabinet Mission came to Delhi on 24 March 1946 Cabinet Mission presented its proposal on 16 May 1946.
• Objectives of Cabinet Mission 1946 -
• Formation of Constituent Assembly. This was the main objective.
• Partition of India This was the secondary objective.
• Members of the Constituent Assembly will be elected indirectly by the public.
• The mission planned a Hindu-Muslim power-sharing plan to prevent communal riots.
• The Muslim League argued that India would turn into a Hindu Nation after the British left.
• The British supported this argument of the Muslim League.

The correct answer is '2400'.

Key Points

The Himalayas 

• The Himalayas is an ancient mountain range located in India.
• Himalaya is also called Parvatraj which means king of mountains.
• The Himalayas are a mountain system that separates the Indian subcontinent from Central Asia and Tibet.
• This mountain system mainly consists of three parallel ranges - the Great Himalaya, the Middle Himalaya and the Shivalik, which are spread in the shape of an arc from west to east for a length of about 2400 km.
• The rise of this arc is towards the south, that is, towards the plain of northern India and the centre is towards the plateau of Tibet.
• The Himalayan Mountains are spread over the borders of 7 countries. These countries are Pakistan, Afghanistan, India, Nepal, Bhutan, China and Myanmar.
• Most of the world's highest mountain peaks are located in the Himalayas. The Himalayas have many peaks among the world's 100 highest peaks.
• Mount Everest, the world's highest peak, is a peak in the Himalayas.

Thus, the correct answer is 2400.

The correct answer is 'Deputy Speaker'.

Key PointsArticle 94:

Vacation and resignation of, and removal from, the offices of Speaker and Deputy Speaker A member holding office as Speaker or Deputy Speaker of the House of the People. 

Thus, The correct answer is Deputy Speaker

Important Points 

Let's have a look at other options:

• Vice President
• In India, the post of Vice President is the second highest post in the executive after the President.
• The Vice President of India also takes part in the legislative business as the Chairman of the Rajya Sabha.
• The current Vice President of India is Shri Jagdeep Dhankar.
• President
• ​The President of India is the executive head of the Republic of India.
• The executive power of the Union is vested in him.
• He is also the Supreme Commander of the Indian Armed Forces.
• He is the one who imposes and removes all types of emergencies and declares war/peace.
• He is the first citizen of the country.
• Prime Minister
• ​The office of the Prime Minister of the Republic of India is the post of the head of government of the Indian Union.
• According to the Indian Constitution, the Prime Minister is the head of the Council of Ministers of the Central Government and the Chief Advisor to the President.
• He is the head of the executive of the Government of India and is accountable to the Parliament for the work of the government.

Given:

A measuring glass of 100 ml capacity had milk filled to about its 3/4.

25% of it was poured in another glass

Calculations:

In 100 ml of solution, \(\dfrac{3}{4}\) part is of milk = 100 × \(\dfrac{3}{4}\) = 75 ml of milk is there.

Now, 25% of it is poured in the another glass = 75 × 25% = 75 × \(\dfrac{25}{100}\) = 18.75 ml.

So, 18.75 ml is poured in the new glass.

So, the remaining quantity of milk left = 75 - 18.75 = 56.25 ml.

∴ The answer is 56.25 ml.

Given:

Length of wall = 10 m

Thickness of the wall = 4.5 m

Height of the wall = 7 m

Formula used:

Volume of the wall or rectangular solid or cuboid = length × breadth × height

Calculations:

Volume of the wall = 10 × 4.5 × 7 = 315 m³

∴ The answer is 315 m³

Given:

Radius of the sphere = 6 cm.

Radius of the wire = 2 mm = 0.2 cm

Formula used:

Volume of the wire = πr²h

Volume of the sphere = \(\dfrac{4}{3}\)πR³ [ where, r is the radius of the wire, h is the height of the sphere, R is the radius of the sphere]

Calculations:

Now, as per question,

Volume of sphere = volume of wire

\(\dfrac{4}{3}\)π(6)³ = π(0.2)²h

\(\dfrac{4}{3}\) × 216 = 0.04 × h

4 × 72 = 0.04 × h

h = \(\dfrac{4 × 72}{0.04}\) = \(\dfrac{288}{0.04}\) = 7200 cm = 72 m. (as, 1 cm = 0.01 m)

∴ The answer is 72 m.

Given:

Fraction between \(\dfrac{4}{7}\) and \(\dfrac{6}{5}\)

Concept used:

To find the fraction between the other two fractions, converting the given fractions into decimals and then tally it with the options.

Calculations:

Fraction between \(\dfrac{4}{7}\) and \(\dfrac{6}{5}\)

\(\dfrac{4}{7}\) = 0.57

\(\dfrac{6}{5}\) = 1.2

In between these two fractions there lies numerous numbers of fractions which are thus converted into decimals. So, the decimals between 0.57 and 1.2 = 0.58, 0.59, 0.6, 0.61,0.62,0.63,.............,1.15, 1.16, 1.17, 1.18, 1.19, 1.20.

In which according to the options given if we convert the following we can get,

\(\dfrac{3}{8} \) = 0.375

\(\dfrac{5}{4}\) = 1.25

\(\dfrac{2}{5}\) = 0.4

\(\dfrac{5}{6}\) = 0.833

So, it is clear from above, that 0.833 lies between 0.57 and 1.20.

∴ The answer is \(\dfrac{5}{6}\).

Given:

The goals scored by a team in a series of 12 matches are given as 4, 5, 3, 2, 0, 3, 4, 3, 1, 2, 4, 5.

Formula used:

Arithmetic mean = \(\dfrac{sum \ of \ all \ the \ observations}{number \ of \ observations}\)

Calculations:

Arithmetic mean = \(\dfrac{4 + 5 + 3 + 2 + 0 + 3 + 4 + 3 + 1 + 2 + 4 +5}{12}\) = \(\dfrac{36}{12}\) = 3

∴ The answer is 3.

Given:

45 × 36 + 12 × 21 + 6 × 3

Formula used:

VBODMAS rule where, V stands for Vinculum or bar, B stands for brackets, O stands for of, D stands for division, M stands for multiplication, A stands for addition and S stands for subtraction.

Calculations:

45 × 36 + 12 × 21 + 6 × 3

= 1620 + 252 + 18

= 1890

∴ The answer is 1890.

Given:

Principle = Rs. 15625

Time = 3 years.

Total amount = Rs. 21952

Formula used:

CI = principal[(1 + \(\dfrac{rate}{100}\))^time - 1]

Amount = principle + interest

Calculations:

21952 = 15625 + interest

Interest = 21952 - 15625 = Rs. 6327

Now, 6327 = 15625[(1 + \(\dfrac{rate}{100}\))³ - 1]

\(\dfrac{6327}{15625}\) + 1 = (1 + \(\dfrac{rate}{100}\))³

\(\dfrac{21952}{15625}\) = (1 + \(\dfrac{rate}{100}\))³

\(\dfrac{28}{25}\) - 1 = \(\dfrac{rate}{100}\) [as, 21952 = 28 × 28 × 28, 15625 = 25 × 25 × 25]

\(\dfrac{3}{25}\) = \(\dfrac{rate}{100}\)

rate = \(\dfrac{100 × 3}{25}\) = 12%

∴ The answer is 12%.

Given:

Radius of sphere(r) = 3 cm.

Radius of cylinder(r) = 4 cm and height of cylinder(h) = 3 cm.

Slant height(l) = 10 cm.

Formula used:

Total surface area of the sphere = 4πr²

Lateral surface area of the cylinder = 2πrh

Lateral surface area of the cone = πrl [where, r is the radius, h is the height, l is the slant height]

l² = r² + h²

Calculations:

As per the question,

Total surface area of the sphere + lateral surface area of the cylinder = lateral surface area of the cone.

4πr² + 2πrh = πrl

π × (4r² + 2rh) = πrl

π × (4 × 3² + 2 × 4 × 3) = π × r × 10

4 × 9 + 24 = r × 10

36 + 24 = 10 × r

r = \(\dfrac{60}{10}\) = 6

Now, l² = r² + h²

10² = 6² + h²

h² = 100 - 36 = 64

h = 8

∴ The answer is 8 cm.

Given:

Trade discount on marked price = 12%

Cash discount = 10%

Selling price = Rs. 9108

Formula used:

Selling price = marked price - discount% on marked price

Calculations:

Let the marked price be 100x

Selling price = 100x - 12% on 100x

Selling price = 100x - \(\dfrac{12}{100}\) × 100x

Selling price = 100x - 12x = 88x

Now, after applying 10% cash discount, the selling price becomes = 88x × 10% = 88x × \(\dfrac{10}{100}\)

The machine was sold at Rs. 9108

So, 79.2x denotes Rs. 9108

Similarly, 100x will denote Rs. \(\dfrac{9108 × 100}{79.2}\) = Rs. 11500.

∴ The answer is Rs. 11500.

Given:

The sum of the squares of three consecutive positive numbers is 509.

Formula used:

(a + b)² = a² +2ab + b²

Calculations:

Let the three consecutive numbers be x, (x + 1), (x + 2)

Sum of the squares of these numbers will be = x² + (x + 1)² + (x + 2)²

Now, as per question, x² + (x + 1)² + (x + 2)² = 509

x² + (x² + 2 × x × 1 + 1²) + (x² + 2 × x × 4 + 2²) = 509

x² + x² + 2x + 1 + x² + 4x + 4 = 509

3x² + 6x = 509 - 5

3x² + 6x - 504 = 0

x² + 2x - 168 = 0

x² + 14x - 12x - 168 = 0

x(x + 14) - 12(x + 14) = 0

(x + 14)(x - 12) = 0

Now, values of x = -14, 12 where, value of x cannot be negative. So, x = 12.

Now, putting the values of x = 12 in the above question, x + (x + 1) + (x + 2) = 12 + (12 + 1) + (12 + 2) = 12 + 13 + 14 = 39.

∴ The answer is 39.

Given:

A man covers the journey from station A to B at a uniform speed of 36 km/h.

Returns to A at uniform speed of 45 km/h.

Formula used:

Average speed = \(\dfrac{2AB}{A + B}\) [ where, A and B are the two respective speeds]

Calculations:

Average speed = \(\dfrac{2 × 36 × 45}{36 + 45}\)

Average speed = \(\dfrac{2 × 36 × 45}{81}\)

Average speed = 2 × 4 × 5 = 40 km/hr.

∴ The answer is 40 km/hr.

Given:

Radius of the hollow ball = 10 cm.

Cost of leather is Rs. 100/sq. m.

Formula used:

Total surface area of sphere = 4πr² [ where, r is the radius]

Concept used:

1 sq. cm. = 0.0001 sq. m.

π = 3.14

Calculations:

Total surface area of 1 hollow ball = 4 × 3.14 × 10²

= 4 × 3.14 × 100 = 1256 sq. cm.

Total surface area of 100 hollow balls = 100 × 1256 = 125600 sq. cm.

Now, 125600 sq. cm. = 12.56 sq. m.

Now, cost of 100 such hollow balls when one ball cost Rs. 100/sq. m. = 100 × 12.56 = Rs. 1256.

∴ The answer is Rs. 1256.

Given:

Side of the cube is increased by 30%.

Formula used:

If side of a cube is increased by x% then its surface area increases by [(1 + \(\dfrac{x}{100}\))² - 1] × 100%

Calculations:

Here, x = 30

According to formula,

Percentage increase in surface area = [(1 + \(\dfrac{30}{100}\))² - 1] × 100%

= [(1 + \(\dfrac{3}{10}\))² - 1] × 100%

= [(\(\dfrac{13}{10}\))² - 1] × 100%

= \(\dfrac{169 - 100}{100}\) × 100%

= \(\dfrac{69}{100}\) × 100%

= 69%

∴ The answer is 69%.