RRB NTPC CBT 2 (Level-2) Official Paper (Held On: 16 June 2022 Shift 1) (Previous Year Paper)

Given:

131/3 ÷ [35 + 3(24)/4 + (42 ÷ 7 - 16/3)]

Calculation:

131/3 ÷ [35 + 3 × 24/ 4 + (42 ÷ 7 - 16/3)]

⇒ 131/3 ÷ [35 + 3 × 6 + (6 - 16/3)]

⇒ 131/3 ÷ [35 + 18 + (18 - 16)/3]

⇒ 131/3 ÷ [53 + 2/3]

⇒ 131/3 ÷ [159 + 2]/3

⇒ 131/3 ÷ 161/3

⇒ 131 ÷ 161 = 131/161

∴ The simplified value of the given equation is 131/161.

Given:

When usual Speed (S) increased = 30%

Time Taken = Usual Time(T) - 24 minutes

Formula used:

Speed = Distance/Time

Distance = Speed × Time

Calculations:

According to the question,

The distance traveled by car in each scenario is the same

Let the usual speed of the car be 'a'

⇒ Increased speed × TIme Taken = Usual speed × Time Taken

⇒ (a + 30% of a) × (T - 24) = a × T

⇒ (a + 0.30 a) × (T - 24) = a × T

⇒ (1.30 a) × (T - 24) = a × T

⇒ 1.30  × (T - 24) =  T

⇒ 1.30  × (T - 24) =  T

⇒ 1.3T - 31.2 = T

⇒ 0.3T = 31.2

⇒ T = 31.2/0.3 = 104 minutes OR 1 hour 44 minutes.

∴ The time taken by the car to cover the same distance at its usual speed is 1 hour 44 minutes.

Explanation:

With the given situation of 70% in selection test and 75% in B.tech, Vijay fulfills the first two conditions i.e. 

• Candidate must be a graduate with 60% marks and Vijay scored 75% --- Condition fulfilled.
• Candidate must secure minimum 70% marks in the selection test and Vijay secured 70% --- Condition fulfilled.
• Candidate should have a certificate in computer fundamentals but Vijay does not have any certificate which --- does not fulfill the conditions.

​

Considering the Special Exemptions :

• In case the graduation is in B.Tech, the 3^rd condition can be waived off, since Vijay is a B.tech graduate the 3^rd condition is waived off.

Hence, the correct answer is "He will be selected".

The correct answer is Rs. 2,177 crores.

Key Points

• Ocean - Services, Modelling, Application, Resources, and Technology (O-SMART)
• The Cabinet Committee approved the umbrella programme Ocean - Services, Modelling, Application, Resources, and Technology (O-SMART) on August 29, 2018, for implementation in 2017–18 and 2019–20 at a total cost of Rs. 1.623 crores.
• The Ministry of Earth Sciences' umbrella programme O-SMART has received approval for its continuation from the Cabinet Committee on Economic Affairs, which is chaired by Prime Minister Shri Narendra Modi and will continue to be implemented from 2021 to 2026 at a cost of Rs. 2177 crore.
• The primary objective of the O-SMART scheme is to offer services and projections based on ongoing oceanic research and it also encourages leading ocean sciences research.
• Seven sub-schemes that make up the overall O-SMART scheme: 
• Ocean Technology
• Coastal Research
• Ocean Observation Network (OON)
• Ocean Modelling and Advisory Services (OMAS)
• Marine Living Resources and Ecology (MLRE)
• Ocean Non-Living Resources
• Operation and Maintenance of Research Vessels

Additional Information

• Autonomous/attached institutes of the Ministry that are implementing these sub-schemes:
• The Indian National Center for Ocean Information Services (INCOIS), Hyderabad
• The National Centre for Coastal Research (NCCR), Chennai
• The National Centre for Polar and Ocean Research (NCPOR), Goa
• The Center for Marine Living Resources and Ecology (CMLRE), Kochi
• The National Institute of Ocean Technology (NIOT), Chennai; as well as other national institutes.
• Total of 16 sub-projects are covered under the umbrella programme which addresses various aspects of the development of the ocean, including services, resources, observations, technology, and sciences.
• The programme has allowed India to take a leading position in the Intergovernmental Oceanographic Commission (IOC) of UNESCO for the implemenation of the Global Ocean Observing System of the Indian Ocean component.

The correct answer is 277.

Key Points

• Water Density
• The density of water is measured as weight per unit volume of the water and it is mainly dependent on the temperature of water.
• In the crystal lattice, there are lot of void area present, when the water is in its ice form doe to sufficient hydrogen bonding between the water molecules. This crystal structure begins to collapse as the ice begin to melt.
• As the temperature increases, the molecules of water start migrating farther from each other hydrogen bond start collapsing and therefore the molecules start coming close to each other resulting in the increase of water density and decrease in volume.
• At 273 kelvin (0°C), ice clusters are seen in the water which are allowed to move freely. Due to the vacant spaces present in the ice clusters, its density get reduced and volume is increased.
• At 0 and 227 kelvin the temperature decreases and thus the density decreases.
• At 277 kelvin (4°C), as the temperature increases the clusters begin to deform, resulting in the highest water density.

         

Additional Information

• The unit of temperature kelvin is converted into celcius (C) by                 
• K= C+273, thus 277 kelvin is 4°C ( K =4+273=277 kelvin)
• After 277 k, the rise in volume due to the expansion of liquid water becomes more than the reduce in volume caused due to hydrogen bond breakage.
• After 277 k, there is a net gain in volume during heating, which leads to a decrease in density.
• It falls within a variety of abnormal physical properties.
• As compared to liquid water, the density of ice is less and thus ice floats on water.
• When we freeze the water, the density of ice is reduced by about 9%.

Given:

 The ratio of the radius of a sphere to the radius of a hemisphere is 4 ∶ 5

Formula:

The surface area of the sphere = 4πr²

The curved Surface area of the hemisphere = 2πr²

Calculation:

The radius of sphere: radius of hemisphere = 4 : 5

 Now, the surface area of the sphere: Curved surface area of the hemisphere 

= 4π(R)² : 2πr², where R is the radius of the sphere and r is the radius of the hemisphere

= (2R² : r²)

= (2 × 4² : 5²)

= (2 × 16 : 25)

= 32 : 25

Now, the percentage by which the surface area of a sphere is more than the curved surface area of the hemisphere 

= $\frac{(32-25)}{25}×100$

= ($\frac{7}{25}$) × 100

= 28 %

Hence, the percentage required is 28%.

Let us first decode the given sign:

Explanation:

B $D$ A → B ≥ D ≥ A

R % D % L @ J → R < D < L ≤ J

After combining equation: R < B ≤ A ≤ D < L ≤ J

Option 1: J < D → Here, J ≥ D so, J < D is False

Option 2: B > L → Here, L ≥ B so, B > L is False

Option 3: B ≥ J → Here, J ≥  B so, B ≥ J is False

Option 4: A < L  → Here, L ≥ A so, A < L is True

Hence, A%L is the correct answer$.

The correct answer is the price elasticity of demand.

Given:

The percentage change in demand for a good, divided by the percentage change in its price is known as price elasticity of demand.

Concept used:

Price elasticity of demand = (% change in Q)/(% change in P) 

Calculations:

Let the percentage change in demand for goods be Q, and

Let the percentage change in its price by P

According to the question,

⇒ { [ (Q_f - Q_i)/( (Q_f + Q_i)/2) ] ÷ [(P_f - P_i)/( (P_i + P_f)/2) ] } × 100

⇒ { [ (Qf - Qi)/( (Qf + Qi)/2) ] × 100 } ÷ { [(Pf - Pi)/( (Pi + Pf)/2) ] × 100 } 

⇒ (% change in Q) ÷ (% change in P) = Price elasticity of demand

∴ The percentage change in demand for a good, divided by the percentage change in its price is known as the Price elasticity of demand.

Shortcut Trick

In a rhombus, diagonals are perpendicular bisectors of each other.

Half of the given diagonal = 240 ÷ 2 = 120 m.

Using Pythagoras triplet for the side (122) and half-diagonal (120):

Other half-diagonal = √(122² − 120²) = √(2 × 242) = √484 = 22 m.

Second diagonal (d₂) = 2 × 22 = 44 m.

Area = (1 ÷ 2) × 240 × 44 = 120 × 44 = 5280 m².

∴ The correct answer is 5280 m².

Alternate Method

Given:

Side of the rhombus (a) = 122 m

Length of one diagonal (d₁) = 240 m

Formula Used:

1. a² = (d₁/2)² + (d₂/2)²

2. Area of rhombus = (1/2) × d₁ × d₂

Calculations:

⇒ Let the other diagonal be d₂.

⇒ 122² = (240/2)² + (d₂/2)²

⇒ 14884 = 120² + (d₂/2)²

⇒ 14884 = 14400 + (d₂/2)²

⇒ (d₂/2)² = 14884 − 14400

⇒ (d₂/2)² = 484

⇒ d₂/2 = √484 = 22 m

⇒ d₂ = 22 × 2 = 44 m

⇒ Area = (1/2) × 240 × 44

⇒ Area = 120 × 44

⇒ Area = 5280 m²

∴ The correct answer is 5280 m².

Additional Information

Properties of Rhombus

A rhombus is a quadrilateral with all sides equal. Its diagonals bisect each other at 90°.

Perimeter of Rhombus

Perimeter = 4 × side = 4a.

Relation between Side and Diagonals

4a² = d₁² + d₂², where a is the side and d₁, d₂ are diagonals.

The correct answer is Haryana

Key Points

• India State of Forest Report (ISFR) ​
• The country's forest cover and tree cover are reported in the India State of Forest Report (ISFR) 2021.
• The first survey was released in 1987, and they are now published every two years. The Forest Survey of India (FSI), 17^th edition of ISFR is currently available.
• India's entire forest and tree cover 7,13,789 square kilometres or 24.62 per cent of the country's total geographical area.
• Haryana's forest cover is only 1588 sq kilometres or 3.59% of the state's overall geographic area.
• Since agriculture is Haryana's primary industry, the majority of its land has been utilized.

Additional Information

• Top three states with the greatest increase in forest cover are:
• Andhra Pradesh (647 sq km)
• Telangana (632 sq km)
• Odisha (537 sq km)
• The overall area covered by trees and forests in the country has increased by 2,261 sq km since the assessment of 2019. Out of this, an increase in forest cover of 1,540 sq km and an increase in tree cover of 721 sq km have been noted.

Given:

Number divisible by 24.

Concept used: 

Divisibility by 24: if a number is divisible by 3 and 8 then that number is divisible by 24 also.  

Divisible by 3: If the sum of digits of that number is divisible by 3, then that number is divisible by 3.  

Divisible by 8: If the last three digits of a number are divisible by 8, then that number is divisible by 8.  

Calculations:

According to the concept, 

Now we check if the numbers are divisible by 3: 

⇒ 23152 = 2 + 3 + 1 + 5 + 2 = 13 [not divisible by 3] 

⇒ 42192 = 4 + 2 + 1 + 9 + 2 = 18 [divisible by 3]

⇒ 52182 = 5 + 2 + 1 + 8 + 2 = 18 [divisible by 3]

⇒ 32192 = 3 + 2 + 1 + 9 + 2 = 17 [not divisible by 3]

Now we check if the numbers are divisible by 8: 

⇒ 23152 = 152/8 = 19 [divisible by 8] 

⇒ 42192 = 192/8 = 24 [divisible by 8]

⇒ 52182 = 182/8 = 91/4 [not divisible by 8]

⇒ 32192 = 192/8 = 24 [divisible by 8]

∴ The number divisible by 24 is 42192.

​We have to find total of five natural even numbers .

Explanation:

Statement I: The second number s two times the first number.

• Let the first number = x
• Then, the second number = 2x

Statement II: All the five even numbers are consecutive even numbers in increasing order.

• We get that number will be x, x + 2, x + 4, x + 6, x + 8.
• Combining I and II, we get
• x + 2 = 2x
• x = 2

Total of five natural even numbers =  x + x + 2 + x + 4 + x + 6 + x + 8 = 2 + 4 + 6 + 8 + 10 =30

Hence, Both the Statements together are necessary to answer the Question is the correct answer.

Given: Q ≤ R = S > T < U ≥ V

Explanation:

• V < T →(False) T< U ≥ V → (As U > T and U ≥ V then T > V is does not follow)
• S < Q→(False) Q ≤ R = S → (As Q ≤ R and R = S. So, Q > S is does not follow)

Hence, Neither I nor II is true is the correct answer.

Given:

The graphs of the equations 2x + 3y = 4 and 3x - y + 5 = 0

Calculation:

[2α + 3β = 4] × 1 .........(1)

[3α - β = - 5] × 3  ..........(2)

Adding both (1) & (2)

(2α + 3β) + (9α - 3β) = - 15 + 4 

⇒ 11α = -11

⇒ α = -1 

Substituting the value of α in equation (2)

3α - β = - 5

⇒ (3 × -1) - β  = - 5 

⇒ - 3 - β = - 5 

⇒ - 3 + 5 = β 

⇒ β = +2

According to the question,

⇒ (3α - 4β) = (3 × (-1) - 4 × 2)

⇒ - 3 - 8 = - 11

∴ The value of (3α - 4β) is - 11.

The correct answer is Chandragupta Maurya.

Key Points

• Chandragupta Maurya
• The Maurya dynasty was established by the Iron Age South Asian king Chandragupta Maurya, who established a vast kingdom with its capital in Magadha.From 324 BCE to 293 BCE, he was in power.
• The capital of the empire was Pataliputra, located in Magadha (modern-day Patna), while Takshashila (later Taxila) and Ujjain served as the regional capitals.
• The third ruler of the Mauryan Empire (322-185 BCE), Ashoka the Great (r. 268-232 BCE), is best known for his creation of the idea of dhamma (pious social behaviour).
• Chandragupta Maurya was the grandfather of King Ashoka.
• King Ashoka is also known for the promotion of Buddhism, and efficient rule over a nearly pan-Indian political entity.

Additional Information

• King Ashoka
• King Bindusara was the father of Emperor Ashoka, and Shubhadrangi was his mother.
• Acharya Chanakya served as the emperor's guru.
• Ashoka, whose full name was Devanampiya Ashok Maurya, waged a particularly destructive war against the state of Kalinga, which he eventually conquered in about 260 BCE.
• Devanampiya translates as the god's favourite.

Eight friends: K, L, M, N, O, P, Q and R

• Number of friends = 8, namely, K, L, M, N, O, P, Q, R
• K, L, M and N are sitting in a straight line and are facing North.
• O, P, Q and R are sitting on a parallel line and are facing South.
• ​Each of the persons sitting in a line, faces another person sitting in the parallel line.
• **M faces a person who has two people sitting to his right. M is facing North.**​

​

• N is sitting between M and K.

• Q faces K.

​

• O is neither an immediate neighbour of P nor Q.

Hence, R is the correct answer.

The correct answer is cotton.

Key Points

• Black soil
• It has occasionally been referred to as "regur," a word derived from the Telegu word "Regada." This soil is a product of the erosion of basalt from the Deccan Highlands.
• Black soil, with its clayey characteristics, is crucial for growing cotton. High moisture retention is necessary for cotton farming.
• Black soils are very fine-grained, black, and very argillaceous. They also contain high amounts of magnesium and calcium carbonates. They are extremely sticky and tenacious of moisture when wet.
• They also have fair amounts of lime, magnesia, and alumina, as well as a significant abundance of iron.
• Because this soil is most suited for the cotton crop, it is primarily referred to as black cotton soil.​​​

Additional Information

• Black soil is also good for growing crops including peanuts, wheat, tobacco, chilies, and jowar in addition to cotton.
• Organic matter, phosphorous, and nitrogen are insufficient in black soils.
• The beidellitic and montmorillonitic classes of clay minerals are often abundant in the soils.
• It is located in the Deccan trap and lava plateaus which reach south-east along the Godavari and Krishna basins and include the plateaus of Malwa, Maharashtra, Saurashtra, Chattisgarh, and Madhya Pradesh.​

Given:

Principal = Rs. 15600,

Rate per annum = 20% and

T = 2 years + 1/4 year

Formula used:

A = P(1 + R / 100)^T

Calculations:

The interest rate for 1^st and 2^nd year = 20%

Interest rate for (1 / 4) year = 20 x (1 / 4) = 5%

According to the question

⇒ A = 15600 × (120 / 100) × (120 / 100) × (105 / 100)

⇒ 15600 × (1.2) × (1.2) × (1.05)

⇒ 15600 × (1.512) = 23587.2

Compound interest = 23587.2 - 15600 = 7987.2 ~ 7987.

Hence The interest being compounded annually is 7897.

EXPLANATION:

 Lets check the number of places of each alphabets from the table below: 

The relation of E22Q10D23  is given below - 

 

Hence, the correct answer is **"**S8M14N13".

Given:

P and Q together can complete the job in 20 days.

Q and R together can complete the job in 30 days.

P and R together can complete the job in 30 days.

Calculations:

According to the question,

One-day work of P and Q = 1/20 ...........(1)

One-day work of R and Q = 1/30 ...........(2) 

One-day work of P and R = 1/30 ...........(3)

Adding the equations (1), (2), and (3)

(P + Q) + (R + Q) + (P + R) = (1/20) + (1/30) + (1/30)

⇒ 2(P + Q + R) = (1/20) + 2(1/30)

⇒ 2(P + Q + R) = (1/20) + (1/15)

⇒ 2(P + Q + R) = (3 + 4)/60

⇒ (P + Q + R) = 7/120

Total work done by all P, Q, and R in one day is 7/120

Now total work done by P alone in one day

⇒ (P + Q + R) - (R + Q) = (7/120) - (1/30)

⇒ P = (7 - 4)/120

⇒ P = 3/120 = 1/40

P alone can do the job in 40 days

Now total work done by R alone in one day

⇒ (P + Q + R) - (P + Q) = (7/120) - (1/20)

⇒ R = (7 - 6)/120

⇒ R = 1/120 

R alone can do the job in 120 days

Now the ratio of work done by P and R alone

⇒ P/R = 40/120 = 1/3 = 1:3

∴ The ratio of work done by P and R alone is 1:3.

The correct answer is Krishna.

Key PointsNon-perennial rivers

• Non-perennial rivers are rivers in which flow of water is seasonal and not for the whole year.
• These rivers do not receive water during the whole year except during rainy season through water cycle.
• Examples of these rivers are Godavari, Krishna, etc.
• These rivers also do not originate from glacial areas like Himalayan rivers do.
• These rivers may cause flood due to heavy rainfall.

Additional Information

• Perennial rivers
• Perennial rivers are rivers having continuous flow throughout the year.
• Perennial rivers have a continuous reliable sources.
• Examples of perennial rivers are Ganges, Yamuna, Indus, Brahmaputra, Sindhu, etc.
• Ganges
• It is the longest flowing river.
• Origin: Gangotri
• Length:2510km
• Brahmaputra
• The transboundary river flows through Tibet, India and Bangladesh.
• Origin: Himalayas
• Length: 2900km

The position of letters according to the English alphabet series:

'ACHIEVE' is written as 'XHENBAB' 

And,

'NUMBERS' is written as 'KZJGBWP

Similarly,

'CAPTAIN' be written as '?'

Hence, the correct answer ZFMYXNK".

EXPLANATION: 

1.  H faces C. 2. Both B and C are immediate neighbours of A.

3.  E faces one of the immediate neighbours of A.

(Here, H already faces the C so E faces only B)

4. Both B and C are immediate neighbours of A.

F and G face each other. So D faces towards A.

Hence "A" is the correct answer.

The correct answer is Red Sea.

Key Points

• Red Sea
• It is a seawater inlet of the India Ocean lying between Africa and Asia.
• It contains the world's most saltiest and hottest seawater.
• It's name is red sea due to color changes observed in its water.

Additional Information

• Suez Canal
• The Suez canal is an artificial sea level waterway in Egypt.
• It effectively allows for passage from North Atlantic to Indian Ocean without circumnavigate the African Continent.
• Egypt is working to improve the Suez Canal by adding 10 km accessible to two way traffic.
• Suez Canal connects Mediterranean Sea with Red Sea makes the shortest maritime route to Asia from Europe.

The correct answer is 1991.

Key Points

• Vyas Samman 
• The Vyas Samman is literary award first awarded in 1991.
• This is awarded by K.K Birla Foundation annually.
• It includes payout of 4 Lakhs from the recent 2019 distribution with plaque and citation.
• In 1991, this was awarded to Ram Vilas  Sharma for his literary work "Bharat ke Pracheen Bhasha aur Hindi.".

Additional Information

• Prof. Sharad Pagare got this prestigious award in 2020 for his novel "Patliputra Ki Samragi".
• Eligibility for this award is that the literary work must be in Hindi language and must be published in the past 10 years.

Given:

A can do the piece of work in 8 days,

B can do the piece of work in 10 days 

C can do the piece of work in 20 days

Calculations:

According to the question,

One day work of A = 1 / 8 .........(1)

One day work of B = 1 / 10 .........(2)

One day work of C = 1 / 20 .........(3)

Adding all the equations (1), (2), and (3)

⇒ A + B + C = (1 / 8) + (1 / 10) + (1 / 20)

⇒ A + B + C = (5 + 4 + 2) / 40

⇒ A + B + C = 11 / 40

∴ A, B, and C together do the same work in 40/11 days or  $3\frac{7}{{11}}$ days.

Shortcut Trick

Ratio of CSA : TSA = 2 : 3 ⇒ h : (h + r) = 2 : 3 ⇒ h = 2r.

Total Surface Area (TSA) = 3 units = 231 cm² ⇒ 1 unit = 77 cm².

Area of two bases (2πr²) = TSA − CSA = 3 units − 2 units = 1 unit = 77 cm².

Radius r² = 77 ÷ (2 × 22/7) = 49/4 ⇒ r = 3.5 cm.

Volume = CSA × (r/2) = (2 × 77) × (3.5 / 2) = 154 × 1.75 = 269.5 cm³.

∴ The correct answer is 269.5 cm³.

Alternate Method

Given:

Total Surface Area (TSA) = 231 cm²

Curved Surface Area (CSA) = (2/3) × TSA

Formula Used:

CSA of cylinder = 2πrh

TSA of cylinder = 2πr(r + h)

Volume of cylinder = πr²h

Calculations:

⇒ CSA = (2/3) × 231 = 154 cm²

⇒ TSA = CSA + 2 × Area of base

⇒ 231 = 154 + 2πr²

⇒ 77 = 2 × (22/7) × r²

⇒ r² = (77 × 7) / (2 × 22) = (7 × 7) / 4 = 49 / 4

⇒ r = 7 / 2 = 3.5 cm

⇒ Now, CSA = 2πrh = 154

⇒ 2 × (22/7) × (7/2) × h = 154

⇒ 22 × h = 154

⇒ h = 154 / 22 = 7 cm

⇒ Volume = πr²h

⇒ Volume = (22/7) × (3.5) × (3.5) × 7

⇒ Volume = 22 × 12.25 = 269.5 cm³

∴ The correct answer is 269.5 cm³.

Additional Information

Cylinder Properties

For a cylinder with radius r and height h, Volume = πr²h, and the ratio of Volume to CSA is always r/2.

Total Surface Area

TSA includes the curved surface and the area of two circular ends: TSA = 2πrh + 2πr².

Hollow Cylinder

The volume of a hollow cylinder with external radius R and internal radius r is V = πh(R² − r²).

The logic followed here is:

Logic: Given word is written from the reverse side and middle two alphabet is remain same in all words.

'COMPUTER' is written as 'RETPUMOC*'*

 'NOTEBOOK' is written as 'KOOEBTON'

Similarly,

For INTERNET

 

Hence, the correct answer is "TENERTNI".

The correct answer is Tuluva.

Key Points

• Krishnadeva Raya was an emperor of Vijayanagar Empire who reigned from 1509 to 1529.
• He was the third monarch of Tuluva Dynasty and was considered as a greatest leaders from Indian history.
• Tuluva Dynasty
• Tuluva Dynasty was founded by Tuluva Narasa Nayaka.
• It was third of the four dynasties: Sangama Dynasty, Saluva Dynasty, Tuluva Dynasty and Aravidu Dynasty to rule Vijayanagara Empire.
• Tuluva Dynasty was ruled from 1491 to 1570.
• The fall of the Tuluva dynasty led to the beginning of the disintegration of the Vijayanagar empire.

Additional Information

• Sadasiva Raya was the sixth and last ruler of the Tuluva Dynasty.
• The original home of the kingdom was the westerly Tulu speaking region.

The correct answer is Ctrl+Z.

Key Points

• UNDO operation
• UNDO is the operation used to reverse the effects of previous action.
• UNDO is mainly used to undone the actions.

Additional Information

• Ctrl+V is keyboard shortcut for paste in MS Word.
• Ctrl+C is keyboard shortcut for copy in MS Word.
• Ctrl+X is keyboard shortcut for cut in MS Word.
• Ctrl+ Y is keyboard shortcut for redo in MS Word.

The correct answer is Mahatma Gandhi National Rural Employment Guarantee Act.

Key PointsMGNREGA

• This was initiated with the objective of “enhancing livelihood security in rural areas by providing at least 100 days of guaranteed wage employment in a financial year, especially to household whose adult members volunteer to do unskilled manual work".
• This Act also aiming to create durable assets (such as roads, canals, ponds, wells).
• Within 5 km of an applicant’s residence, employment is provided.

Additional Information

NREGA

• National Rural Employment Guarantee Act 2005, later renamed as the MGNREGA, is an Indian labour law and social security measure that aims to guarantee the ‘right to work’.
• NREGA can also help in protecting the environment, empowering rural women, reducing rural-urban migration and fostering social equity, among others.

Shortcut Trick

Effective height of the tower from the top of the platform = 54 − 4 = 50 m.

Horizontal distance between them = 50√3 m.

Using the property: tan θ = Perpendicular / Base = 50 / 50√3 = 1 / √3.

Since tan 30° = 1 / √3, the angle of elevation is 30°.

∴ The correct answer is 30°.

Alternate Method

Given:

Height of the platform (h_p) = 4 m

Height of the tower (h_t) = 54 m

Distance between the platform and the tower (d) = 50√3 m

Formula Used:

tan θ = Perpendicular / Base

Calculations:

⇒ Perpendicular (Height of tower above platform) = Total Tower Height − Platform Height

⇒ Perpendicular = 54 − 4 = 50 m

⇒ Base (Horizontal Distance) = 50√3 m

⇒ tan θ = 50 / 50√3

⇒ tan θ = 1 / √3

⇒ θ = tan⁻¹(1 / √3)

⇒ θ = 30°

∴ The correct answer is 30°.

Additional Information

Angle of Elevation

The angle formed by the line of sight with the horizontal when looking up at an object. It is equal to the angle of depression when viewed from the object back to the observer.

Standard Trigonometric Ratios

tan 30° = 1/√3, tan 45° = 1, and tan 60° = √3. These are essential for solving heights and distances problems.

Relationship between Height and Distance

For a given angle θ, Height = Distance × tan θ. This linear relationship is the basis for most geometrical surveying.

Given :

$\frac{3}{4} \times 2\frac{2}{3} \div \frac{5}{9}of1\frac{1}{5} - \frac{3}{5}of\left( {\frac{2}{3} \div \frac{2}{3}of\frac{3}{2}} \right) + \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} - \frac{2}{3}$

Concept used :

Calculations :

$\frac{3}{4} \times 2\frac{2}{3} \div \frac{5}{9}of1\frac{1}{5} - \frac{3}{5}of\left( {\frac{2}{3} \div \frac{2}{3}of\frac{3}{2}} \right) + \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} - \frac{2}{3}$(\frac{2}{3}\)

$=\frac{3}{4}\times\frac{8}{3}\div\frac{5}{9}of\frac{6}{5}-\frac{2}{5}+\frac{4}{5}\times\frac{10}{9}÷\frac{8}{15}-\frac{2}{3}$

$=\frac{3}{4}×\frac{8}{3}÷\frac{2}{3}-\frac{2}{5}+\frac{4}{5}×\frac{10}{9}÷\frac{8}{15}-\frac{2}{3}$

$=\frac{3}{4}×4-\frac{2}{5}+\frac{4}{5}×\frac{25}{12}-\frac{2}{3}$

$= 3-\frac{2}{5}+1$

$= \frac{18}{5}$

$= 3\frac{3}{5}$

Hence, the required answer is $3\frac{3}{5}.$

The logic followed here is:

Manufacturing and Health sectors drove growth during the second lockdown (Cause) and as the demand grew rapidly, India's economy sees record growth during the deadly Covid second wave (Effect)

Hence Statement II is the cause and statement I is its effect.

Additional Information 

What are Causes?

Causes are the conditions under which an event occurs.

For example, can you guess the causes for the following? 

The police increased security around the President's house.

Lots of people buy a particularly expensive brand of washing machines around Diwali. Easily, we can guess the causes for the above events. 

There were reports of threats against the President. 

There was a high discount or sale for that brand during Diwali.

Sufficient & Necessary Conditions:

In a cause and effect question, the cause is the sufficient condition. It is assumed that the sufficient condition of the occurrence of the events must include the different necessary conditions as well. 

A necessary condition is one that must be satisfied for the occurrence of an event. 

E.g. You must adhere to the deadline to get your work appraised. 

This means if you get your work appraised, you have to adhere to the deadline. Or; if you do not adhere to the deadline, you do not get your work appraised. 

A condition is called a sufficient condition if in a certain event, you are satisfied with the results.

E.g. Being human is a sufficient condition for being a mammal. Being a human is not possible unless one is also a mammal. But it is not necessary that being human is a necessary condition for being a mammal.

Given:

Scores = 14, 22, 16, 24, 12, 8, 4, 18, 12, 10.

Each observation is increased by 10.

Formula Used:

Mean = (sum of all the values)/(total no. of values)

Calculations:

⇒ M = (24 + 32 + 26 + 34 + 22 + 18 + 14 + 28 + 22 + 20)/(10)

⇒ M = 240/10 = 24.

∴ The new arithmetic mean will be 24.

Shortcut Trick

If we increase each value of the observation by a certain number then the average will also increase by that certain number.

So the mean of the initial observations is 14. now we are increasing the value of each observation by 10 so the average will also increase by 10 so the answer is 14 + 10 = 24.

The correct answer is Shankar Balasubramanian. 

Key Points

• Shankar Balasubramanian and Prof David Kleinerman got this award in May 2021 for the invention of Next Generation DNA Sequencing.
• Millennium Technology Prize
• One of the world's largest technology prizes.
• It is awarded once every two years by Technology Academy Finland.
• The Patron of this prize is the President of Finland.
• This award is for Life Enhancing Technological Innovation.
• Established: 2002
• The prize was inaugurated in 2004.

Additional Information

• Technology Academy Finland is an independent foundation established by Finnish industries, academic institutions, and the state of Finland.

The correct answer is Indian Institute of Science (IISc).

Key Points

• Acta Astronautica
• M​monthly peer-reviewed scientific journal covering all fields of physical, engineering, life, and social sciences related to the peaceful scientific exploration of space.
• Known as one of the top aerospace engineering journals.
• IISc
• Public, deemed, research university for higher education and research in science, engineering, design, and management.
• Located in Bengaluru, in the Indian state of Karnataka.

Additional Information

• ISRO
• The Indian Space Research Organization is the national space agency of India, headquartered in Bangalore.
• It operates under the Department of Space which is directly overseen by the Prime Minister of India, while the Chairman of ISRO acts as the executive of DOS.

EXPLANATION: 

Conclusions:

I. Some handsome are not graduates → Follows → (As, Some boys are handsome and no graduate is a boy. So, some handsome boy is not graduate is definite true)

II. No employed is a boy → Does not follow → (As, There is no direct negative relation between boys and employed so we can not determine it is true or not)

Hence, the correct answer is "Only conclusion I follow".

The correct answer is Godavari.

Key Points

• There are many rivers drains into Bay of Bengal: The Ganges–Hooghly, the Padma, the Brahmaputra–Yamuna, the Barak–Surma–Meghna, the Irrawaddy, the Godavari, the Mahanadi, the Brahmani, the Baitarani, the Krishna and the Kaveri.

Bay of Bengal

• The northeastern part of the Indian Ocean.
• Bounded on the west and northwest by India, on the north by Bangladesh, and on the east by Myanmar and the Andaman and Nicobar Islands of India.
• Maximum Length: 2090km.

Additional Information Himalayan Rivers

• The rivers that originate from the Himalayan mountain ranges.
• These rivers are snow fed.
• They receive water from the melting ice of the glaciers as well as from the rains.
• The three main Himalayan Rivers are the Ganga, the Indus and the Brahmaputra.

The position of letters according to the English alphabet series:

Logic: Alphabet are arranged according to opposite letters.

'TEACHING' is written as 'GVZXSRMT'

And,

'TENDENCY' is written as 'GVMWVMXB'

Similarly,

Hence, "HBNYLORX" is the correct answer.

The correct answer is J.M. Sengupta.

Key PointsJ.M. Sengupta

• Jatindra Mohan Sengupta was an Indian revolutionary against the British rule.
• He was arrested several times by the British police.
• In 1933, he died in a prison located in Ranchi, India.

Sardar Vallabhbhai Patel

• Endeared as Sardar and was an Indian statesman.
• He is also called the "Unifier of India".

Jawaharlal Nehru

• Indian anti-colonial nationalist, secular humanist, social democrat and author who was a central figure in India during the middle of the 20^th century.

Mahatma Gandhi

• Indian lawyer, anti-colonial nationalist and political ethicist who employed nonviolent resistance to lead the successful campaign for India's independence from British rule.
• He inspire movements for civil rights and freedom across the world.

Additional Information All-Bengal Civil Disobedience Council

• It was formed to violate the salt law.
• Decided to violate in the coastal districts of Chattogram, Noakhali, Barisal, Khulna, 24 Parganas and Midnapur.
• With its clear anti-imperialist agenda, helped to crystallize efforts towards linking elite politics and the relatively spontaneous politics of the people into an organized movement.
• organized by special Congress district civil disobedience committees which were affiliated to the local Congress committees.

The correct answer is Zamindars helped in improving the condition of farmers.

Key Points  

Zamindari System

• Zamindari system of agriculture was mainly practiced in Bengal during British rule, which was the capital of British India.
• During the independence, zamindars helped farmers to improve the condition of their farms.
• The main intention of zamindars was not to help the farmers but wanted to reap the benefits of the agriculture sector.
• According to this system, the major part of the profit went to zamindars instead of the farmers.

Additional Information

• Through the Permanent Settlement Act, Cornwallis introduced the Zamindari System in 1793.
• It first appeared in the Bengal, Bihar, Orissa, and Varanasi provinces.
• It is also known as the Permanent Settlement System.
• Land ownership was acknowledged to belong to zamindars.
• The authority to collect rent from the peasants was granted to the zamindars.
• The actual farmers were made tenants while the zamindars acquired ownership of the land.

The correct answer is Manipur.

Key Points

• Khamba-Thoibi:        
• Khamba-Thoibi is a folk dance of Moirang which was the ancient kingdom of Manipur.
• People of Manipur believed that the dance was first performed by Khamba, a hero in Manipuri mythology and his lover Thoibi who was the princess of the Moirang.
• This dance is based on the beautiful love story of the couple Khamba and Thoibi.
• In order to perform this dance, the male dancers pick up their partners to the dance arena and the female dancers decorate themselves with colorful dresses and flowers in their hands.

Additional Information

• Performing arts in Nagaland, Puducherry and Lakshadweep:
• The major folk dances of Nagaland include Modse, Butterfly dance, Rengma, Leshalaptu, Shankai, Seecha, Kukui kucho, etc.
• People in Nagaland perform a war dance known as 'Chang lo' to celebrate victory in war.
• Garadi is a well-known dance in Puducherry. It is performed at festivals.
• It is believed that when Lord Rama (hero of Ramayana) defeated Ravana, at that time vanar sena (group of monkeys)  performed this dance to celebrate the victory.
• The important form of performing arts of Lakshadweep is Kolkali and Parichakli.
• Lava is also an important form of dance here.

The correct answer is 6.2 to 7.6.

Key Points

• The acronym pH stands for potential hydrogen. It describes the chemical acidity level vs the alkalinity level of the substance.
• 99% of saliva is made of water and the remaining 1% consists of digestive enzymes, uric acid, electrolytes, cholesterol and mucus-forming proteins.
• The normal range of saliva for a healthy human being is 6.2 to 7.6. Generally, it does not fall below 6.3.
• Adults generally have more acidic saliva than children.

Additional Information

• According to the pH level, the chemical acidity or alkalinity level can be checked. 
• The pH level of 14 is considered to be the most alkaline.
• The pH level of 0 is the most acidic.
• The pH level of 7 is considered to be neutral.
• Food and drinks are responsible to check the pH level of saliva.
• Good bacteria in the mouth breaks down the food and lowers the pH level.

Given: 

A circular path surrounding the field having a width of 3 m

The circular field with a diameter of 150 m

Formula used:

Area of a circle = π R²

Calculations:

According to the questions,

Assume the field as a smaller circle of Radius (r) = 150/2 = 75 m 

The field + the path as a bigger circle of Radius (R) = r + 3 = 78 m

Now for the area of the circular path,

Area of the circular path = (Area of the field with circular path) - (Area of the field)

Area = (πR²) - (πr²)

⇒ π [(78)2 - (75)2]

⇒ π [6084 - 5625] = 459π m2 

∴ The area (in m²) of a circular path is 459π m2,

Given:

A bus covers four successive 12 km stretches at 20 kmph, 40 kmph, 60 kmph, and 120 kmph respectively.

Formula Used:

Average Speed (Sav) = (Total Distance)/(Total Time)

Calculations:

Total Distance = 4 × 12 = 48

Total Time = (12/20) + (12/40) + (12/60) + (12/120)

⇒ T = (3/5) + (3/10) + (1/5) + (1/10)

⇒ T = (4/5) + (2/5) = 6/5 hours.

Now Average Speed,

⇒ S_AV = 48/(6/5)

⇒ (48 × 5)/6 = 40 km/h

∴ Over this distance, the average speed (in kmph) is 40 km/h.

EXPLANATION: 

According to Ajay, mother's birthday can be on 6^th, 7^th, 8^th, and 9^th of June.

According to his sister, mother's birthday can be on the 9^th and 10^th.of June.

Here, the 9^th of June is common in both the  statement.

Hence , my mother's birthday is on 9^th of June.

The correct answer is  "9^th".

The correct answer is 1983.

Key Points

Sarkaria Commission

• The Sarkaria Commission was set up in the year 1983 by the central government of India.
• It was founded in June 1983, by the Ministry of Home Affairs of the Indian Government under the Chairmanship of Justice R.S. Sarkaria with Shri B. Sivaraman and Dr. S. R. Sen as its members.
• The Sarkaria Commission's charter was to examine the central state relationship on various portfolios and suggest changes within the framework of the constitution of India.
• The first three-member commission for determining the relationship between the center and the state was presided over by R. S. Sarkaria.

Additional Information

• The Commission was so named as it was headed by Justice Ranjit Singh Sarkaria, the chairman of the commission and a retired judge of the Supreme Court of India.
• The Commission will examine and review the working of the existing arrangements between the Union and States as per the Constitution of India, the healthy precedents being followed, various pronouncements of the Courts in regard to powers, functions and responsibilities in all spheres including legislative relations.
• In examining and reviewing the working of the existing arrangements between the Union and States and making recommendations as to the changes and measures needed, the Commission will keep in view the social and economic developments that have taken place over the years, particularly over the last two decades.

The correct answer is Sri Lanka Legends.

Key Points

• India Legends defeated Sri Lanka Legends by 14 runs in the final match of the  Road Safety World Series which was held in Jaipur.
• Yusuf Pathan was the star of the day and he was adjudged player of the match for his all-round performance in the summit clash.
• He smashed an unbeaten 62 and picked up two wickets in his four-over spell to help his side win the inaugural Road Safety World Series T20 tournament.
• Sachin Tendulkar, captain of the India Legends, finished the tournament as the third-highest run-getter with 233 runs from seven matches.

Additional Information

• Road Safety World Series
• The Road Safety World Series (RSWS) is an annual T20 tournament between retired masters of the game from major cricket-playing nations like England, Australia, New Zealand, South Africa, Sri Lanka, Bangladesh, West Indies and India.
• Sunil Gavaskar is the Commissioner of the event while Tendulkar is the brand ambassador of the league.
• The Road Safety World Series is a joint initiative of the Ministry of Road Transport and Highways and the Ministry of Information and Technology and Youth Affairs and Sports Government of India.
• The 30-day tournament is played with the aim to create awareness towards road safety in India and around the globe.

The statement highlights the problem that milk will become poison, if kept in a copper utensil. Poison is good for consumption and health.

Conclusion 1.  This conclusion logically follows from the given statements because if poison is considered good for consumption and health, and milk stored in a copper utensil becomes poison, then, following the statements, it implies that such milk is good for consumption.

conclusion 2. No, as Poison is good for consumption and health so they can't be avoided.

Hence Conclusion I follow.

Given:

Amount of sum of money invested for 8 years = Rs. 24500

Amount of sum of money invested for 13 years = Rs. 32000

Formula used:

Simple Interest = (P × R × T)/100 

Simple Interest = Amount - Principle

Calculations:

According to the question,

Simple Interest for 8 years,

24500 - P = (P × R × 8)/100      ............(1)

Simple Interest for 13 years,

32000 - P = (P × R × 13)/100      ............(2)

Subtracting (1) from (2)

⇒ (24500 - P) - (32000 - P) = (P × R × 13)/100) - (P × R × 8)/100 

⇒ 7500 = [(P × R )/100]  (13 - 8) 

⇒ 7500 = 5 × (P × R )/100   

⇒ 150000 = P × R      ...........(3)

Substituting the value of (3) in equation (1)

⇒ 24500 - P = (P × R × 8)/100

⇒ 24500 - P = (150000 × 8)/100

⇒ 24500 - P = 1500 × 8

⇒ P = 24500 - 12000 = Rs. 12500

∴The sum invested. is Rs. 12500

EXPLANATION:

1. Ram is to the immediate left of Rohan.  2. Sunita is not an immediate neighbour of Ram. 

                                  Case1

 

                                  Case2     

 

3. Chandan is an immediate neighbour of both Sunita and Seema. So case 2 gets cancelled.

 

Hence "Sunita occupies third place from Ram in the clockwise direction" is the correct answer.

.

EXPLANTION:

 

Hence "Amit" neither hardworking nor a scholar.

The correct answer is Mizoram.

Key Points

Forest cover of Mizoram

• Minister for Environment, Forest and Climate Change, Bhupender Yadav, released the 'Indian State of Forest Report 2021' on 13 January 2022.
• According to the report, Mizoram has the highest forest cover as a percentage of the total geographical area.
• The forest cover percentage of Mizoram is 84.53%.
• Followed by Mizoram the second highest cover has Arunachal Pradesh, then Manipur and Nagaland respectively.

Additional Information

Forest cover of Arunachal Manipur and Nagaland

• Arunachal Pradesh has a forest cover of 79.33% as a percentage of the total geographical area.
• Manipur has a forest cover of 74.34**%** as a percentage of the total geographical area..
• Nagaland has a forest cover of 73.90% as a percentage of the total geographical area..

Given:

Sunita scored 90% of Anita's score,

Anita's score was 110% of what Vinita scored.

Sunita scored 198 marks

Calculations:

Let the marks obtained by Anita be 'a' and of Vinita be 'v'

According to the question,

Marks of Sunita = 90% of marks of Anita

⇒ 198 = 90% × a

⇒ a = 220 marks.

Anita scored 22 marks

Now for the marks of Vinita

Marks of Anita = 110% of marks of Vinita

⇒ 220 = 110 % × v

⇒ v = 200 marks

∴ Vinita scored 200 marks.

The correct answer is Khelo India Scheme.

Key Points

Khelo India Scheme

• Khelo India Programme is a national yojana/scheme for the development of sports in India.
• It was launched in the year 2018 by Sports Minister Col. Rajyavardhan Singh Rathore in Delhi.
• This program has been launched to improve the sports culture in India.
• The Ministry has chosen to extend the Khelo India program through 2025–2026.
• The Ministry of Finance has received a document from the Expenditure Finance Committee (EFC) requesting the continuation of the Khelo India Scheme from 2021–2022 to 2025–2026

Additional Information

Come and Play Scheme

• The Come and Play Scheme was established to encourage local athletes in locations where SAI sports facilities/Centres are open in order to make the best use of the organization's sporting resources in Delhi and around the nation.

Sports and Games for Persons with Disabilities Scheme

• The Ministry of Youth Affairs & Sports launched the "Sports and Games for Persons with Disabilities Scheme" as a Central Sector Scheme in 2009–2010, which was part of the XI Plan Period.
• The Scheme's main goal is to get as many disabled people involved in sports as possible.

Target Olympic Podium Scheme

• Target Olympic Podium Scheme (TOPS) seeks to give potential competitors for the Olympic Games/Paralympic Games and other important international competitions all the necessary support and assistance so they can take home medals.

Family Chart:

Given:

If 'A # B' means A is the father of B.

'A & B' means A is the brother of B.

'A @ B' means A is the mother of B.

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

 

 

 

 

 

Given : C@ A # B & D

1) C@ A which means C is mother of A.

2) A # B which means A is father of B.

3) B & D which means B is brother of D.

Now, check all the options.

1) C is mother of A and D → False (C is mother of only A and not D)

2) D is daughter of A → False (Gender of D is not known)

3) C is paternal grandmother of B and D → True (C is paternal grandmother of B and D)

4) D is granddaughter of C → False (Gender of D is not known)

Hence, "C is paternal grandmother of B and D" is the correct answer.

Given:

Profit % = 20%

Reduction in cost price = 10%

Increment in selling price = Rs.18

New profit % = 40%

Formula Used:

Profit = Selling price - Cost price

Calculation:

When the profit % is 20%

Let's assume that the cost price is Rs. 100

Profit % = 20%

⇒ Profit = Rs. 20

⇒ Selling price = Rs. 120.

⇒ Cost price: Selling price = 100:120

When the profit % is 40%

⇒ Cost price after reduction = 100 - 10 = 90

⇒ Profit % = 40%

⇒ Profit = 90 × 40% = Rs. 36

⇒ Selling price = 90 + 36 = Rs.126

Difference in selling price (126 - 120) = Rs. 6

According to the question,

Change in selling price = Rs. 18

⇒ 6 units = Rs.18

⇒ 1 unit = Rs. 3

⇒ 100 units = 3 × 100 = Rs. 300

∴ The original cost price is Rs. 300

The correct option is Bhutan.

Key Points

Thimphu

• ​Bhutan's capital is Thimphu, often written as 'Thimbu'.
• The city, which is located in the west-central region of the nation, is on the Raidak River in the Himalaya Mountains at a height of roughly 7,000 feet (2,000 meters).
• The government's official seat was moved there in 1962 before, it was wherever the king lived, and a significant construction project was launched with Indian assistance.​

Additional Information

• Bangladesh's capital city is Dhaka, often written as 'Dacca'.
• It is situated in the south-central region of the nation, immediately north of the Buriganga River, a branch of the Dhaleswari River.
• The capital of Bangladesh and one of the biggest metropolises in South Asia is Dhaka.
• The country of Myanmar, often known as Burma, is situated in the western part of mainland Southeast Asia.
• The capital of Myanmar is Nay Pyi Taw, often written Nay Pyi Daw or Naypyidaw (Burma).
• Early in the twenty-first century, Nay Pyi Taw was constructed in Myanmar's central basin to act as the nation's new administrative hub.
• Nepal's capital is Kathmandu, often written Katmandu or Kantipur.
• It is located close to the intersection of the Baghmati and Vishnumati rivers in a steep area.

Given:

$\sqrt {12.5 \times 8 \times 1.44}$

Calculations:

⇒ √[(12.5) × (8) × (1.44)]

⇒ √[100 × (1.44)]

⇒ √(144) = 12

∴ The simplified value is 12.

Detailed solution :

1) Awadh walks 20m towards West. 

2) Then, he turns to his left and walks 10m

. 

 

3)Then, he again takes a left turn and walks 10m.

4) Now, he takes a right and again walks 10m.

5. He takes a right turn and stops after walking 10m.

Final, direction according to the given information. Hence, he is in south- west direction with respect to his starting point.

The correct answer is Odisha.

Key Points

• The majority of India's manganese is produced in Odisha, which has numerous mines spread out across the country's iron ore belt.
• Odisha produced one-third of the nation's total output in 2000–2001.
• Bonai, Kendujhar, Sundergarh, Gangpur, Koraput, Kalahandi, and Bolanger are a few of the more significant mines.
• Karnataka, Maharashtra, Telangana, Goa, and Jharkhand are the other states in India that produce manganese after Odisha.

Additional Information

• Alloys are made with manganese.
• It is employed in the production of glassware, dry cell batteries, polymers, and chemicals.
• To produce one tonne of steel, around 10 kg of manganese are needed.

Given:

CP of 120 m cloth = Rs. 15000

Gain% on 45% of cloth = 40%

Loss% on 25% of cloth = 10%

Formula used:

⇒ SP = CP + Profit

⇒ SP = CP - Loss

Calculations:

According to the question,

CP of 120 m cloth = Rs. 15000

⇒ CP of 1 m cloth = 15000/120 = Rs. 125/m

Now for SP of 45% of cloth,

45% of 120 m cloth = (45 × 120)/100

⇒ 5400/100 = 54 m

CP of 54 m cloth = 54 × 125 = Rs. 6750

⇒ SP = CP + 40% of CP

⇒ SP = 6750 + 40% × 6750

⇒ SP = 6750 + 2700 = Rs. 9450

SP of 45% of cloth is Rs. 9450

Now for SP of 25% of cloth,

⇒ 25% of 120 m cloth = (25 × 120)/100

⇒ 3000/100 = 30 m

⇒ CP of 30m cloth = 30 × 125 = Rs. 3750

⇒ SP = CP - 10% of CP

⇒ SP = 3750 - 10% × 3750

⇒ SP = 3750 - 375 = Rs. 3375

SP of 25% of cloth is Rs. 3375

Now for SP of the rest of the cloth,

Remaining cloth = 45% + 25% + x% = 100%

⇒ Remaining cloth = 30%

⇒ 30% of 120 m cloth = (30 × 120)/100

⇒ 3600/100 = 36 m

⇒ CP of 36m cloth = 36 × 125 = Rs. 4500

⇒ SP = CP 

SP of rest of the cloth is Rs. 4500

Now to find the total profit,

[(SP of 45% of the cloth) + (SP of 25 of the cloth) + (SP of rest of the cloth)] - [CP of the whole cloth]

⇒ [(9450) + (3375) + (4500)] - [15000]

⇒ Total Profit = 17325 - 15000 = Rs.2325

∴ His profit (in Rs.) in the entire transaction is Rs. 2325

Calculations:

According to the question,

Let the difference be 'x'.

x = [12/(13/14)] - [(12/13)/14]

⇒ x = [(12 × 14)/13] - [12/(13 × 14)]

⇒ x = [168/13] - [6/91]

⇒ x = [(168 × 7) - 6]/91

⇒ x = (1176 - 6)/91

⇒ x = 1170/91 = 12.85 or $12\frac{6}{7}$.

∴ The difference will be 12.85 or $12\frac{6}{7}$.

The correct answer is 1867.

Key Points

Prarthana Samaj

• Prarthana Samaj was a movement for religious and social reforms in Bombay, India.
• It was founded by Dadoba Pandurang and his brother Atmaram Pandurang in 1867 to make people believe in one God.
• After some time, Mahadev Govind Ranade also joined it and from then it became popular.
• Based on past reform movements, the Prarthana Samaj movement, often known as the "Prayer Society," was a religious and social reform movement in Bombay, India.

Additional InformationBrahmo Samaj

• The Brahmo Samaj was a monotheistic sect of Hinduism.
• The movement began through meetings of Bengalis in Calcutta in 1828.
• One of the leading figures was Ram Mohun Roy.
• The chief aim of the Brahmo Samaj was the worship of the eternal God.
• It was against priesthood, rituals and sacrifices.
• It focused on prayers, meditation and reading of the scriptures.
• The samaj has had considerable success with its programs of social reform but has never had a significant popular following.

BODMAS rule:

1. ÷ and +

Given equation: 24 × 36 ÷ 27 + 6 - 2 = 22

After interchanging the signs, we get:

L.H.S = 24 × 36 + 27 ÷ 6 - 2

 = 864 + 4.5 - 2 

= 868.5 - 2 

= 866.5 ≠ R.H.S

2. + and ×

Given equation: 24 × 36 ÷ 27 + 6 - 2 = 22

After interchanging the signs, we get:

L.H.S = 24 + 36 ÷ 27 × 6 - 2 

= 24 + 4 ÷ 3 × 6 - 2 

= 24 + 8 - 2 

= 32 - 2 

= 30 ≠ R.H.S

3. - and +

Given equation: 24 × 36 ÷ 27 + 6 - 2 = 22

After interchanging the signs, we get:

L.H.S =  24 - 36 ÷ 27 × 6 + 2 

= 24 - 4 ÷ 3 × 6 + 2 

= 24 - 8 + 2 

= 26 - 8 

= 18 ≠ R.H.S

4. ÷ and ×

Given equation: 24 × 36 ÷ 27 + 6 - 2 = 22

After interchanging the signs, we get:

L.H.S = 24 ÷ 36 × 27 + 6 - 2

= 2 ÷ 3 × 27 + 6 - 2 

= 18 + 6 - 2 

= 24 - 2 

= 22 = R.H.S

Hence,  '÷ and ×' is the correct answer.

Given:

(44.97% of 226) + 55.03 × 4.98 - ? = 140

Calculations:

Let unknown no. be 'x'.

(0.45 × 226) + 55 × 5 - (x) = 140

⇒ (102) + 275 - 140 = x

⇒ x = 377 - 140 = 237.

∴ The simplified value is 237.

The correct answer is Project-75 India.

Key Points 

• Project-75 India
• Under Project-75 India, Government of India has issued a tender of 50,000 crore to build six conventional diesel-electric submarines.
• This submarine would be bigger than the under-construction Scorpene-class submarines being built at the Mazagon Dockyards Limited in Mumbai.
• The tender has been issued for the construction of six conventional diesel-electric submarine to Mazagaon Dockyard limited and Larsen and Toubro.
• The submarines would be equipped with heavy-duty firepower so that the boats will have at least 12 Land Attack Cruise Missiles (LACM) along with Anti-Ship cruise missiles (ASCM).

Additional Information

• Defence minister of India is shri Rajnath Singh.
• Larsen and toubro headquarter is situated in Mumbai.

The correct answer is Ginning.

 Key Points

• The process of separating cotton fibres from seeds is called ginning.
• From the field, seed cotton moves to nearby gins for separation of lint and seed.
• The cotton first goes through dryers to reduce moisture content and then through cleaning equipment to remove foreign matter.
• These operations facilitate processing and improve fiber quality.
• The cotton is then air conveyed to Cotton Ginning in stands where revolving circular saws pull the lint through closely spaced ribs that prevent the seed from passing through.
• The lint is removed from the saw teeth by air blasts or rotating brushes, and then compressed into bales weighing approximately 500 pounds.
• Cotton is then moved to a warehouse for storage until it is shipped to a textile mill for use.
• A typical gin will process about 12 bales per hour, while some of today’s more modern gins may process as many as 60 bales an hour.

 Additional Information

• Yarning is the process where the cotton yarn is spinned at the initial stage of textile processing.
• Thermoforming is a manufacturing process where a plastic sheet is heated to a pliable forming temperature, formed to a specific shape in a mold, and trimmed to create a usable product.
• Molding is the process where specific thing is moulded into the desired shape.

Given, 

1. Asha is third to the right of Chirag.  Lalit is an immediate neighbour of both Chirag and Pihu.

case 1: 

case2: 

2. Kiran is to the immediate right of Sanjay. so case 1 gets cancelled. Only three people sit between Kiran and Rajiv.

3. Sia is an immediate neighbour of Rajiv and Asha.

so Sanjay is sitting to the immediate right of Asha.

Given, 

1. Shreya starts walking towards the north from her shop and she walks 15 m. Then takes a right turn and walks 30 m.

2. She now takes a left turn and walks 15 m.

3. Again she takes a left turn and walks 15 m.

4. Finally, she turns left again and stops after walking 15 m.

 

Final Direction according to the given information.

She is in North-east direction.

The correct answer is 1990.

 Key Points

• The commercial paper was formally introduced in India on 1^st January,1990.
• However, the commercial paper were first introduced on 27^th March 1989.
• The commercial paper in India was introduced by RBI in the Indian money market.
• Commercial paper is the money market instrument in which individuals, non-resident Indians, banks, companies and foreign institutional investors (FII) can invest.
• The minimum amount to invest in commercial paper is 5 Lakh INR.
• They are either in physical or dematerialized form.
• There are 4 types of commercial paper i.e.  drafts, checks, notes and certificate of deposit.

The correct answer is Sharangdev.

Key Points 

• Sangeet Ratnakar, the earliest known treatise on music was composed by Sharangdev.
• Sangeet Ratnakar was called the "Ocean of Music and Dance", is one of the most important musicological texts from India.
• The text is divided into seven chapters
• The first six chapters Svaragatadhyaya, Ragavivekadhyaya, Prakirnakadhyaya, Prabandhadhyaya, Taladhyaya and Vadyadhyaya.
• Sarnga Deva, was the 13^th-century Musician who authored Sangeet Ratnakar  – the classical Sanskrit text on music and drama.

Additional Information

• Amir Khusrau is called the father of qawwali and was the one who introduced ghazal in India.
• Tansen is also known to as Tan Sen or Ramtanu, was a well known person of North Indian classical music.
• Muhammad Shah was a great patron of the arts, including musical, cultural and administrative developments.

The correct answer is Raj Angad Bawa.

 Key Points

• ​Raj Angad Bawa became the first Indian cricketer to bag a fifer in an ICC tournament final when he finished with figures of 5/31 in the U19 World Cup final against England in North Sound, Antigua on Saturday.
• Raj Angad Bawa combined with Ravi Kumar, who bagged 4/34, to bowl England out for 189 in the summit clash.
• Raj Angad Bawa also became the first player since Pakistan's Anwar Ali in 2006 to pick a five-wicket haul in an ICC U19 World Cup final.
• In finals, Raj Angad Bawa and Ravi's heroics helped India win the title.

 Additional Information

• The World cup was held against England in North Sound, Antigua.
• India lifted the U19 World cup for the fifth time.
• The 2023 ICC Men's Cricket World Cup will be the 13^th edition of the men's Cricket World Cup, scheduled to be hosted by India during October and November 2023.
• This will be the first time the competition is held entirely in India.

Given:

Scores = 82, 60, 62, 63, 78, 75, 86, 75, 91, 46

Formula Used:

Mean = (Sum of all the values)/(Total no. of values)

Calculations:

⇒ M = (82 + 60 + 62 + 63 + 78 + 75 + 86 + 75 + 91 + 46)/(10)

⇒ M = 718/10 = 71.8

∴ The arithmetic mean of their scores is 71.8.

The correct answer is Cache Memory.

Key Points

• Cache memory is a chip-based computer component that makes retrieving data from the computer's memory more efficient.
• ​Cache, which is pronounced "cash" (not "catch" or "cashay"), stores recently used information so that it can be quickly accessed at a later time.
• Computers incorporate several different types of caching in order to run more efficiently, thereby improving performance.
• Common types of caches include browser cache, disk cache, memory cache and processor cache.

Additional Information

• Tertiary memory is a level below secondary storage
• Typically, it involves a robotic mechanism which will mount (insert) and dismount removable mass storage media into a storage device according to the system's demands; such data are often copied to secondary storage before use.
• Optical memory 
• Optical memory is an electronic storage medium that uses a laser beam to store and retrieve the data. If we classify the memory system then optical memory comes under the external memory in the computer system.
• Auxiliary memory
• Auxiliary memory units are among computer peripheral equipment.
• They trade slower access rates for greater storage capacity and data stability.
• Auxiliary memory holds programs and data for future use, and, because it is nonvolatile (like ROM).
• It is used to store inactive programs and to archive data.

Shortcut Trick

In isosceles triangle ΔRST, two angles must be equal. Given m∠R = 16°. Condition TR > ST implies angle opposite to TR must be greater than angle opposite to ST. ∴ m∠S > m∠R, so m∠S cannot be 16°. If equal angles are m∠R = m∠T = 16°, then m∠S = 180° − (16° + 16°) = 148°. Since 148° > 90°, it satisfies the obtuse condition. ∴ The correct answer is 148°.

Alternate Method Given: ΔRST is obtuse isosceles triangle. m∠R = 16° m(TR) > m(ST)

Formula Used: Sum of angles in a triangle = 180° Side-Angle Inequality: The side opposite to the greater angle is longer.

Calculations: ⇒ In ΔRST, the side TR is opposite to ∠S and side ST is opposite to ∠R. ⇒ Given TR > ST ⇒ m∠S > m∠R ⇒ Since m∠R = 16°, we must have m∠S > 16°. ⇒ For an isosceles triangle, two angles must be equal. Possible cases for (m∠R, m∠S, m∠T): ⇒ Case 1: If m∠S = m∠T, then 16° + 2 × m∠S = 180° ⇒ 2 × m∠S = 164° ⇒ m∠S = 82°. (Triangle is 16°, 82°, 82° which is acute, so rejected). ⇒ Case 2: If m∠R = m∠T = 16°, then m∠S = 180° − (16° + 16°) = 148°. ⇒ Here 148° > 16°, which satisfies the condition m∠S > m∠R (TR > ST). ⇒ Also, 148° > 90°, making the triangle obtuse. ∴ The correct answer is 148°.

Additional Information Angle-Side Relationship In any triangle, the side opposite to the largest angle is the longest side, and the angle opposite to the longest side is the largest angle. Obtuse Isosceles Triangle A triangle where one angle is greater than 90° and two sides (and their opposite angles) are equal. The equal angles must always be acute. Sum of Angles Property The interior angles of any Euclidean triangle always sum up to exactly 180°.

The correct answer is Pandit Brij Bhushan Kabra.

Key Points

• Pandit Brij Bhushan Kabra 
• He is one of the gems of Indian Classical Music and belongs from Jodhpur Rajasthan.
• Pandit Brij Bhushan Kabra is accredited for being the only musician to introduce and include the guitar artistically to Indian classical music and he was the first artiste to play raga on guitar.
• This artist has received many prestigious awards and has been acclaimed by the musicians worldwide for his soulful music and for his flawless work in the world of music.

Additional Information

• Ustad Ali Akbar Khan
• ​ He played the sarod, a stringed, flute like instrument that is part of the musical tradition in Hindustan.
• Pandit shivkumar sharma
• He was an Indian classical musician and santoor player who is credited with adapting the santoor for Indian classical music.
• Hariprasad Chaurasia
• He is an Indian music director and classical flautist, who plays the flute, in the Hindustani classical tradition.

Given : ab_ _ da _ bcda _ _ cd _ _ bcd

Let's check each option:

1. bcbbaab → abbcd - abbcd - abacd - abbcd → No visible pattern 

2. bcabbab → abbcd - aabcd - abbcd - abbcd → No visible pattern 

3) bcbbbab → abbcd - abbcd - abbcd - abbcd → Here, 'abbcd' is repeating itself 

4) bcbabab → abbcd - abbcd - aabcd - abbcd → No visible pattern 

Hence, "bcbbbab" is the correct answer.

The correct answer is Puri.

Key Points

• ​Puri is the city in Odisha where Nabakalebar Rath Yatra is held.
• Nabakalebar is a ritual in which the wooden figures of Lord Jagannath, Balabhadra, Subhadra, and Sudarshan are periodically renewed.
• Nabakalebara is an important festival in the Hindu Odia Calendar, observed in the Jagannath Temple, Puri.
• It was first organized in 1575 A.D. by Yaduvansh Bhoi King Ramchandra Deva.
• It marks the symbolic demise and rebirth of Jagannath at Puri.
• The event involves the installation of new images in the Jagannath temple and the burial of the old ones on the temple premises at Koili Baikuntha.

Additional Information

• The capital of Odisha is Bhubaneshwar.
• The chief minister of Odisha is Naveen Patnaik.
• The Minister of culture is chaired by G. Kishan Reddy.