APSC Prelim 2022 CSAT Paper (GS-2) – Comprehension & Passage sections Questions Analysis

APSC Prelim 2022 CSAT Paper (GS-2) – Comprehension & Passage sections Questions Analysis

Questions from Reading Comprehension & Passage sections

Go to APSC CCE Prelim Previous Years Paper Analysis 

APSC prelims questions

Qs order as per Set – D.                                 

Click to Download PDF

Read the following passage carefully and answer Question Nos. 1 and 2

The chief gateways to the world of international trade are the ports and harbours. Cargoes and travellers pass from one part of the world to another through these ports. The ports provide facilities for docking, loading, unloading and storage facilities for cargo, In order to provide these facilities, the port authorities make arrangements for maintaining navigable channels, arranging tugs and barges, and providing labour and managerial services. The importance of a port is judged by the type of cargo and the number of ships handled. The quantity of cargo handled by a port is an indicator of the level of development of its hinterland. Generally ports are classified according to the types of traffic and the cargo which they handle, like industrial, commercial and comprehensive ports. Most of the world’s great ports are classified as comprehensive ports. Ports are classified on the basis of their location as inland ports and out ports. They are also classified on the basis of specialized functions like oil ports, ports of call, packet stations or ferry ports, entre ports and naval ports.

Q1. The importance of a port is judged by

(A) type of ships handled and size of cargo

(B) quality of cargo and size of ships handled

(C) type of cargo and number of ships handled

(D) quantity of cargo and size of ships handled


Q2. Most of the world’s great ports are classified as

(A) naval ports

(B) commercial ports

(C) industrial ports

(D) comprehensive ports

 

Read the following passage carefully and answer Question Nos. 3 and 4

The Wodehouses, like others, were in constant contact with the British Vice-Consul in Boulogne and expected to be alerted by him if it became no longer safe to remain in residence. The warning was never given. As with the others who had continued to live in the area, it seemed that the Wodehouses did not really appreciate the extent of the danger they were in by staying on. On 21st May, the Wodehouses set out in a car chock full of possessions from their house in Le Touquet. After covering only a short distance, the car broke down, having been repaired poorly after a crash some weeks ago. They had not noticed problems with the car as they had been using their other car since then. They set out again, this time in a convoy with their neighbours, who were travelling in a van and a car. The van broke down. By the time it was repaired it, was evening and the party decided to return to Le Touquet. That night the Germans captured the town. Wodehouse was required to report to the German authorities at the town of Paris Plage each day while his wife was required to report once a week. The Germans commandeered the Wodehouse bathroom. This fact and Wodehouse’s comments on it were to spawn various stories proving his support and sympathies for the Germans. The Germans were unwelcome not only for dropping into his house for a bath but also for raiding his larder, taking away their car, bicycles, radio and tobacco.

Q3. Select the correct statement.

(A) The car and the van of the Wodehouses broke down on their way back from Le Touquet.

(B) The car and the van of the Wodehouses broke down on their way from  Le Touquet.

(C) The car of the Wodehouses and the van of their neighbours broke down on their way back from Le Touquet.

(D) The van of the neighbours of the Wodehouses broke down on their way from Le Touquet.


Q4. Which of the following is correct about the Germans?

(A) They occupied the house of the Wodehouses, used their bath and raided their larder,

(B) They used their bath, raided their larder and took away their car, bicycle, radio and tobacco,

(C) They used their bath, raided their larder and took away their car, bicycles, radio and tobacco.

(D) They used their bath, raided their larder and took away their cars, bicycles, radio and tobacco.

Read the following passage carefully and answer Question Nos. 5 and 6

Hobbies help us grow as a person. The best way to have a hobby is to try something new. All of us are unique and this is the reason why our hobbies and interests are different. Once we find an activity we are passionate about we can explore that activity. When you get hooked, you will realize that your hobby has become an integral part of your life. Having a hobby that we enjoy brings us joy and refreshes us. Hobbies help us to manage our leisure and unplanned time more productively. It also affords you the opportunity to learn new skills in your work. The journey of experiencing your hobby is rewarding in itself. With the exposure to different types of activities these days, it does not matter which activity you choose-pursuing a craft, sports, puzzles or skill development-your hobby should be your diversion and passion.

Q5. On the basis of you+ -reading of the above passage, the option that is clearly the synonym of ‘hooked’ is

(A) opposed

(B) captivated

(C) indifferent

(D) willing


Q6. No matter what activity you are pursuing your hobby should be

(A) useful to you

(B) a skill that helps you

(C) a diversion and a passion

(D) None of the above

 

Read the following passage carefully and answer Question Nos. 7 and 8

Mountains have always been held in great awe by mankind. They have been a challenge to humans. Those brave among us have always wanted to conquer them. You see, the more incredible the mountains, the greater the thrill-a challenge to the bravery of the human race. Climbing mountains is an experience that is hard to put into words. Mountain climbing is undoubtedly one of the most popular adventure sports, along with being challenging and risky for the climber. Without any perceived risk there cannot be a feeling that any significant challenge has been surmounted. The enthusiasts must develop in themselves the spirit of adventure, willingness to undertake hardships and risks, extraordinary power of perseverance, endurance and keenness of purpose before climbing a mountain. Up there where the intention is to embrace nature’s wonder, one realizes that it cannot be done without facing its formidable glory. A true mountaineer may challenge the mountain, yet is always respectful to the powerful forces of nature.

Q7. Why does the writer say that mountains inspire awe in humans?

(A) They present us with opportunities for exciting sports.

(B) They evoke a wish in us to conquer them.

(C) They inspire in us deeds of valour.

(D) They represent a challenge to us.


Q8. Select the reason the mountaineer is respectful to the forces of nature when up in the mountains.

(A) Survival

(B) Fear (C) Tradition

(D) Power

 

Read the following passage carefully and answer Question Nos. 9 and 10

Evolution has designed the vultures to be the ultimate scavengers. Enormous wingspans allow them to circle in the air for hours. Their beaks, while rather horrifying, are weak by bird standards, made to scoop and eat flesh. However unappealing they may seem, vultures serve an important role in the ecological cycle, processing the dead bodies of animals. Only 20 years ago, India had plenty of vultures-flocks so enormous they darkened the skies. But by 1999, their numbers had dropped due to a mysterious kidney ailment. By 2008, 99.9% of India’s vultures were gone. It was finally discovered that they had been killed by a drug called Diclofenac. Indians revere their cows and when a cow shows signs of pain, they treat it with the pain reliever Diclofenac. After the animal died, the vultures would eat the carcass, though the vultures boast of one of the world’s most efficient digestive systems they cannot digest Diclofenac. Sometimes vultures feed on carcasses laced with poison intended to kill jackals and other predatory carnivores. India banned the use of Diclofenac for veterinary use in 2006, but it is still widely used. The near extinction of vultures has caused diseases in the country as rats and dogs moved in to take their place-spreading pathogens that would have otherwise been destroyed by the vultures.

Q9. What does the phrase ‘moved in to take their place’ mean?

(A) Contributed to the task

(B) Helped them

(C) Replaced them

(D) Removed them


Q10. On the basis of the above passage, which of the following can be inferred as the major cause of the death of vultures?

(A) They feed on carcasses laced with poison intended to kill them.

(B) They feed on carcasses laced with poison intended to kill jackals and other predators.

(C) They eat carcasses laced with Diclofenac.

(D) None of the above

 

Read the following passage carefully and answer Question Nos. 11 and 12

The movement for the right to information is one of the few recent examples of a movement that did succeed in getting the state to accept its major demands. The movement started in 1990 when a mass-based organization called Mazdoor Kisan Shakti Sangathan in Rajasthan took the initiative in demanding records of famine relief work and accounts of labourers. In 2004, the RTI Bill was tabled and received presidential assent in June 2005. The demand was raised in Bhim Tehsil, a very remote and backward region. The villagers asserted their right by asking for copies of bills and vouchers and names of persons on muster rolls who had been paid wages. “In ‘1996, the MKSS formed the National Council for People’s Right to Information. Prior to that, the Consumer Education and Research Centre, the Press Council of India and the Shourie Committee had proposed a draft RTI law. In 2002, a weak Freedom of Information Act was legislated but never came into force.

Q11. RTI means

(A) Right to Investigation

(B) Right to Intimation

(C) Right to Interference

(D) Right to Information


Q12. The RTI Bill was tabled in

(A) 1996

(B) 2002               

(C) 2004

(D) 2005

Read the following passage carefully and answer Question Nos. 13 and 14

The Antarctica continental region extends over 14 million square kilometres and comprises 26% of the world’s wilderness area, representing 90% of all the territorial ice and 70% of planetary freshwater. The Antarctica also extends to a further 36 million square kilometres of ocean. It has limited terrestrial life and a highly productive marine ecosystem, comprising of a few plants, marine mammals, fish and hordes of birds as well as krill which is central to marine food chain and upon which other animals are dependent. The Antarctica plays an important role in maintaining climatic equilibrium and deep ice cores provide an important source of information about greenhouse gas concentration and atmospheric temperatures of hundreds and thousands of years ago. Who owns this coldest, farthest and windiest continent on the globe? There are two claims about it. Some countries like UK, Argentina, Chile, Norway, France and New Zealand have made legal claims to sovereign rights over it. Most other states have taken the opposite view that it is part of the global commons and not subject to the executive jurisdiction of any state. The Arctic and Antarctic polar regions are subjected to special regional rules of environment protection.

Q13. The above passage tells us that the highly productive marine ecosystem comprises of

(A) a few plants, marine animals, fish and hordes of birds

(B) a few plants, marine mammals, fish and hordes of birds

(C) plants, marine mammals, hordes of fish and birds

(D) plants, mammals, fish and hordes of birds


Q14. The Arctic polar region is owned by

(A) Argentina, China, Norway, France, New Zealand and UK

(B) UK, Argentina, Chile, Norway, Australia, France and Greenland

(C) Chile, Argentina, China, Norway, France and New Zealand

(D) None of the above

 

Read the following passage carefully and answer Question Nos. 15 and 16

Janardhan works in a call centre. He leaves late in the evening for work, becomes John when he enters the office, acquires a new accent and speaks a different language to communicate with his clients, who are living thousands of miles away. He works all night which is actually daytime for his overseas customers. Janardhan is rendering service to somebody, who in all probability, he is never likely to meet physically. Ramdhari has gone shopping to buy a birthday gift for his nine-year-old daughter. He has promised her a small cycle and decided to search the market for something he can afford as well as of reasonable quality. He finally buys a cycle, which is actually manufactured in China but is being marketed in India. It meets his requirements of quality and affordability. Last year he had, on his daughter’s insistence, bought her a Barbie doll, which was originally manufactured in the US and was being sold in India. Sarika is a first generation learner who has done remarkably well throughout her school and college life by working very hard. She now has an opportunity to take up a job and begin an independent career which the women in her family had never dreamt of earlier. While some of her relatives are opposed to her decision, she goes ahead because of the new opportunities that have been made available to her generation.

Q15. The examples in the passage illustrate

(A) globalization of services

(B) conflict of values

(C) Both (A) and (B)

(D) Neither (A) nor (B)


Q16. Sarika’s decision reflects a conflict of values originating from

(A) a new opportunity that was available to the women in her family

(B) an unacceptable new opportunity that was available to the women in her family

(C) a new opportunity that was not available to the women in her family

(D) None of the above

 

Q30. Study the passage below:

The introduction of the Goods and Services Tax (GST) is a very significant step in the field of indirect tax reforms in India. By amalgamating a large number of Central and State taxes into a single tax, GST will mitigate ill effects of cascading or double taxation in a major way and pave the way for a common national market. From the consumers point of view, the biggest advantage would be in terms of reduction in the overall tax burden on goods, which is currently estimated to be around 25%-30%. It would also imply that the actual burden of indirect taxes on goods and services would be much more transparent to the consumer. Introduction of GST would also make Indian products competitive in the domestic and international markets owing to the full neutralization of input taxes across the value chain of production and distribution. Studies show that this would have impact on economic growth. Last but not the least, this tax, because of its transparent and self-policing character, would be easier to administer. It would also encourage a shift from the informal to formal economy.

On the basis of the above passage, the following assumptions have been made.

(i) Introduction of GST is a paradigm shift from the earlier tax regime.

(ii) GST subsumed all indirect taxes in India.

Which of the above assumptions is/are valid?

(A) Assumption (i) only

(B) Assumption (ii) only

(C) Both assumptions (i) and (ii)

(D) Neither assumption (i) nor assumption (ii)

 

Q31. Study the passage below:

The new education policy must provide to all students, irrespective of their place of residence, a quality education system, with particular focus on historically marginalized, disadvantaged, and underrepresented groups. Education is a great leveler and is the best tool for achieving economic and social mobility, inclusion, and equality. Initiatives must be in place to ensure that all students from such groups, despite inherent obstacles, are provided various targeted opportunities to enter and excel in the educational system.

On the basis of the above passage, the following assumptions have been made :

(i) One of the cornerstones of the new education policy is inclusion.

(ii) The new education policy advocates quality education.

Which of the above assumptions is/are valid?

(A) Assumption (i) only

(B) Assumption (ii) only

(C) Both assumptions (i) and (ii)

(D) Neither assumption (i) nor assumption (ii)

 

Q57. Feynman made sure that the radiation exposure of the inner chamber is within tolerance limits. Opening the heavy door to the scrubbing chamber, he walked in and donned a sterile gown after the door closed behind him. Feynman sat on the scrubbing bench in the sealed chamber while the air would be cleaned by the scrubber unit. After six minutes, an inner door opened. As he walked into the inner chamber and touched the object, Feynman felt a wave of excitement washing over him. On the workbench lies the object which has the capacity of replicating and unleashing power comparable to that of the sun, albeit on a much smaller scale.

Based on the paragraph above, identify which of the following statements is best acceptable.

(A) To enter the inner chamber, one has to wait for not less than six minutes in the scrubbing chamber.

(B) The atom bomb was created by a team of which Feynman was a member.

 (C) Feynman was all alone in the inner chamber when he touched the object.

(D) The Laser (gun) was designed and developed in a laboratory where Feynman worked.

Click to Download PDF

https://www.assamexam.com/apsc-prelim-2022-gs-1-question-paper/

Go to APSC Prelims & Mains Previous Years Questions Paper

Geometry and Mensuration Formulas & Properties – APSC PrelimCSAT Paper Notes, formulas

Geometry and Mensuration Important Formulas

& Properties – 

Numerical Aptitude Notes for APSC Prelims CSAT Paper, SSC and Competitive Exams

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Circle
  • Area of a circle = R2, where R is the radius.
  • Circumference of a circle = 2πR.
  • Length of an arc =  2 π r ×  (θ/360°), where θ is the central angle.
  • Area of a sector = θ/2 × r2.
  • Perimeter of a semi-circle =πR + 2R.

 

Quadrilaterals

Parallelogram

  • Area of parallelogram = (Base x Height).
  • The diagonals of a parallelogram bisect each other.
  • Each diagonal of a parallelogram divides it into triangles of the same area.
  • A parallelogram and a rectangle on the same base and between the same parallels are equal in area.
  • Of all the parallelogram of given sides, the parallelogram which is a rectangle has the greatest area.

Rectangle

  • Area of a rectangle = (Length x Breadth).
  • Perimeter of a rectangle = 2(Length + Breadth).
  • The diagonals of a rectangle are equal and bisect each other.

Square

 

  • Area of a square = (side)2 = (diagonal)2.
  • Area of 4 walls of a room = 2 (Length + Breadth) x Height.
  • The diagonals of a square are equal and bisect each other at right angles.

Rhombus

  • Area of a rhombus = x (Product of diagonals).
  • The diagonals of a rhombus are unequal and bisect each other at right angles.

Trapezium

  • Area of a trapezium =  (sum of parallel sides)/2 x distance between them.

 

Triangle

 

  • Sum of the angles of a triangle is 180°.
  • The sum of any two sides of a triangle is greater than the third side.
  • Area of a triangle = x Base x Height.
  • Area of a triangle = s(s-a)(s-b)(s-c), where a, b, c are the sides of the triangle and s = (a + b + c).
  • Area of an equilateral triangle = sqrt(3)/4 x (side)2.

Pythagoras Theorem

In a right-angled triangle, (Hypotenuse)2 = (Base)2 + (Height)2.

  • Median – The line joining the mid-point of a side of a triangle to the opposite vertex is called the median.
  • Centroid – The point where the three medians of a triangle meet. The centroid divided each of the medians in the ratio 2 : 1.
  • In an isosceles triangle, the altitude from the vertex bisects the base.
  • The median of a triangle divides it into two triangles of the same area.
  • The area of the triangle formed by joining the mid-points of the sides of a given triangle is one-fourth of the area of the given triangle.

Probability – Important Formulas – APSC Prelim CSAT Paper Notes

Probability – Important Formulas & Notes

Numerical Aptitude Notes for APSC Prelims CSAT Paper, SSC and Competitive Exams

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Probability

A quantitative measure of the chance of occurrence of a particular event. The likelihood of the occurrence of a particular event. The probability of event A is often written as P(A).

The probability of an event can only be between 0 and 1 and can also be written as a percentage. 

Probability of Occurrence of an Event

Let S be the sample and let E be an event.

P(E) = n(E) /n(S)


Results on Probability

P(S) = 1

0 <= P (E) <= 1

P() = 0

For any events A and B, P(A B) = P(A) + P(B) – P(A  B)

 

Experiment – An operation which can produce some well-defined outcomes is called an experiment.

Random Experiment – An experiment in which all possible outcomes are know and the exact output cannot be predicted in advance, is called a random experiment. Like drawing a card from a pack of well-shuffled cards.

Sample Space – When we perform an experiment, then the set S of all possible outcomes is called the sample space.

In tossing a coin, S = {H, T}

If two coins are tossed, S = {HH, HT, TH, TT}.

In rolling a dice, S = {1, 2, 3, 4, 5, 6}.

Event – Any subset of a sample space is called an event.

Equally Likely Events  – Events are said to be equally likely if there is no preference for a particular event over the other.

Mutually Exclusive Events  – Two or more than two events are mutually exclusive if the occurrence of one of the events excludes the occurrence of the other.

Independent Events – If the occurrence or non-occurrence of one event does not influence the occurrence or non-occurrence of the other.

Simple Events – Events where one experiment happens at a time and it has a single outcome.

Compound Event – An event in which there is more than one possible outcome.

Exhaustive Events – The mutually exclusive events that form the sample space collectively are called the exhaustive events. Example, when a coin is tossed, either Head or Tail appears and they collectively form the sample space.

 

 

L.C.M and H.C.F based Questions – Important Formulas for APSC Prelim CSAT Paper

 

L.C.M  and H.C.F based Questions – Important Formulas

Numerical Aptitude Notes for APSC Prelim CSAT Paper, SSC and Competitive Exams

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Factors and Multiples:

If number a divided another number b exactly, we say that a is a factor of b.

b is also a multiple of a.

 

Highest Common Factor (H.C.F.) or Greatest Common Divisor (G.C.D.)

The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.

Two methods of finding the H.C.F. of a given set of numbers:

Factorization Method: Express the each one of the given numbers as the product of prime factors. The product of least powers of common prime factors gives H.C.F.

Division Method: To find the H.C.F. of two given numbers, divide the larger by the smaller one. Now, divide the divisor by the remainder. Repeat the process of dividing the preceding number by the remainder last obtained till zero is obtained as remainder. The last divisor is the H.C.F.

 

Least Common Multiple (L.C.M.)

The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

There are two methods of finding the L.C.M. of a given set of numbers:

Factorization Method Resolve each one of the given numbers into a product of prime factors. Then, L.C.M. is the product of highest powers of all the factors.

Division Method: Arrange the given numbers in a rwo in any order. Divide by a number which divided exactly at least two of the given numbers and carry forward the numbers which are not divisible. Repeat the above process till no two of the numbers are divisible by the same number except 1. The product of the divisors and the undivided numbers is the required L.C.M. of the given numbers.

 

H.C.F. and L.C.M. of Fractions

H.C.F. = (H.C.F. of Numerators)/(L.C.M. of Denominators)

L.C.M. = (L.C.M. of Numerators)/(H.C.F. of Denominators)

 

Product of two numbers = Product of their H.C.F. and L.C.M.

Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1.

 

 

Comparison of Fraction numbers

  1. Find the L.C.M. of the denominators of the given fractions.
  2. Convert each of the fractions into an equivalent fraction with L.C.M as the denominator, by multiplying both the numerator and denominator by the same number.
  3. The resultant fraction with the greatest numerator is the greatest.

 

Downstream/Upstream Boat Speed – Important Formulas – APSC PrelimCSAT Paper Notes

Downstream/Upstream Boat Speed – Important Formulas

Numerical Aptitude Notes for APSC Prelim CSAT Paper, SSC and Competitive Exams

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Still Water: If the speed of the water is zero, i.e. water is stationary, then it is called still water.

Stream: The moving water in the river is known as a stream.

  • Upstream: If a boat or a swimmer moves in the opposite direction of the stream, then it is called upstream, i.e. direction against the stream.
  • Downstream: If a boar or a swimmer moves in the same direction of the stream, then it is called downstream, i.e. direction along the stream

 

If the speed of a boat in still water is u km/hr and Speed of the stream is v km/hr,

  • Speed downstream = (u + v) km/hr.
  • Speed upstream = (u – v) km/hr.


If the speed downstream is a km/hr and the speed upstream is b km/hr, then

  • Boat Speed in still water = ½ (Downstream Speed + Upstream Speed) = 1/2 x (a + b) km/hr.
  • Rate of stream = ½ (Downstream Speed – Upstream Speed) = 1/2 x (a – b) km/hr.
  • Average Speed of Boat = {(Upstream Speed × Downstream Speed) / Boat’s Speed in Still Water}

 

 

If it takes “T” hours for a boat to reach a point in still water and comes back to the same point then,
the distance between the two points = {(u2-v2) × T} / 2u,
where “u” is the speed of the boat in still water and “v” is the speed of the stream.


If it takes “T” hours more to go to a point in upstream than downstream for the same distance, then
the distance = {(u2-v2) × t} / 2v,
where “u” is the speed of the boat in still water and “v” is the speed of the stream.

If a boat travels a distance downstream in “t1” hours and returns the same distance upstream in “t2” hours, then,
the speed of the man in still water = [v × {(t2+t1) / (t2-t1)}] km/hr,
where “v” is the speed of the stream

Calendar, Odd days, Leap years – Important Formulas – APSC Prelim CSAT Paper Notes, Qs, Formulas

Calendar, Odd days, Leap years – Important Formulas & Notes

Numerical Aptitude Notes for APSC Prelims CSAT Paper, SSC and Competitive Exams

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Odd Days

To find the day of the week on a given date, use the concept of ‘odd days’.

Number of days more than the complete weeks are called odd days in a given period.

 

Finding No. of odd Days

1 ordinary year = 365 days = (52 weeks + 1 day.) i.e. 1 ordinary year has 1 odd day.

1 leap year = 366 days = (52 weeks + 2 days) i.e. 1 leap year has 2 odd days.

1 Century = 100 years = 76 ordinary years + 24 leap years = (76 x 1 + 24 x 2) odd days = 124 odd days. = (17 weeks + days) 5 odd days = 5 odd days in 100 years

Odd days in 200 years = (5 x 2) %7 =3 odd days.

Number of odd days in 300 years = (5 x 3) %7 = 1 odd day.

Number of odd days in 400 years = (5 x 4 + 1) %7 = 0 odd day.

Similarly, 800 years, 1200 years, 1600 years, 2000 years  has 0 odd days.

Last day of a century cannot be Tuesday or Thursday or Saturday as odd days of any century can be one 0, 1, 3 and 5 days. 

For the calendars of two different years to be the same, the conditions to be satisfied are

  • Both years must be of the same type. i.e., both years must be ordinary years or both years must be leap years.
  • 1st January of both the years must be the same day of the week.

Go to Aptitude, Reasoning and Quants Formulas & Notes

Profit and Loss – Important Formulas – APSC CSAT Paper Notes

Profit and Loss – Important Formulas

Numerical Aptitude Notes for CSAT Paper, SSC and Competitive Exams

 

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Cost Price – The price, at which an article is purchased.

Selling Price – The price, at which an article is sold.

Profit – If S.P. is greater than C.P., the seller is said to have a profit.
Profit = S.P. – C.P.

Loss – If S.P. is less than C.P., the seller is said to have incurred a loss.
Loss = C.P. – S.P.

Loss and Profit are always calculated on Cost Price.

Profit Percentage

    Profit % =

Profit x 100
————–
C.P. 

                                                                                            

 

                                                                                                            

Loss Percentage

    Loss % =

Loss x 100
————
C.P.   

 

                                                                                        

  

Selling Price

            (100 – Loss %)
SP =  ——————  x C.P  
               100

            (100 + Gain %)
SP =  ——————   x  C.P  
               100

 

Cost Price

            100
CP =  ——————–  x SP  
            ( 100 + Gain %)

            100
CP =  ——————–  x SP  
            ( 100 – Loss %)

   

Whenever two similar items are sold, one at a gain of L %, and the other at a loss of L %, then the seller always incurs a loss of

                     Common Loss and Gain %
Loss % = [  ———————————– ] 2 =  (L/10) 2
                     10

   

If a dishonest trader shows as if he sell goods at cost price, but uses false weights, then

                    Error
Gain % = [  —————————] x 100 
                    (True Value) – (Error)

Simple Interest & Compound Interest – Important Formulas – APSC CSAT Paper Notes

Simple Interest (SI) & Compound Interest (CI) – Important Formulas

Numerical Aptitude Notes for CSAT Paper, SSC and Competitive Exams

 

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Principal – The money borrowed or lent out for a certain period is called the principal or the sum.

Interest – Extra money paid for using other’s money is called interest.

Simple Interest (S.I.) – If the interest on a sum borrowed for certain period is reckoned uniformly

Let Principal = P, Rate = R% per annum (p.a.) and Time = T years. Then

Simple Interest =

 

P x R x T
———–

                                                                        

100

 

P =

 

100 x S.I.
———–

 

;                       R =

 

100 x S.I.
———–

 

 ;                and  T =

 

100 x S.I.
———–       

 

.

R x T

P x T

P x R            

Compound Interest – the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Let Principal = P, Rate = R% per annum, Time = n

When interest is compound Annually:

   Amount = P

(

1 +

R
—-

)

n                                                                                             

100

When interest is compounded Half-yearly:

    Amount = P

(

1 +

(R/2)
——

)

2n                                                                               

100

When interest is compounded Quarterly:

    Amount = P

(

1 +

(R/4)
—–

)

4n                                                                           

100

When Rates are different for different years, say r1%, r2%, r3% for 1st, 2ndand 3rd year respectively.

    Then, Amount = P

(

1 +

r1
—-

)(

 

1 +

r2

)(

 

1 +

r3
—–

)                 

.

100

100

100

Present worth of Rs. P due n years hence is given by:

    Present Worth =

        P
———————–                                                                               

(

1 +

r
—-

)

n                                                                                                

100

 

Go to Aptitude, Reasoning and Quants Formulas & Notes

Speed, Time and Distance – Important Formulas – APSC CSAT Paper Notes

Speed, Time and Distance – Important Formulas

Numerical Aptitude Notes for CSAT Paper, SSC and Competitive Exams

 

Go to Aptitude, Reasoning and Quants Formulas & Notes

 

Basic Formulas

  • Speed = Distance/Time
  • Time = Distance/Speed
  • Distance = (Speed x Time).

Ratio of Speed to Ratio of Time

  • If the ratio of the speeds of A and B is a: b, then the ratio of the times taken by them to cover the same distance is 1/a: 1/b or b:a

Average Speed Formula

  • Suppose a car covers a certain distance at a km/hr and an equal distance at b km/hr. The average speed for the whole journey is = 2ab/(a + b) km/hr.

km/hr to m/sec conversion

  • 10 km/hr = 10 x(5/18) m/sec.

m/sec to km/hr conversion

  • 10 m/sec = 10 x(18/5) km/hr.

 

Important Formulas for Train base Questions

  • Time taken by a train of length K metres to pass an object be negligible length like a pole or standing man or an electric post is equal to the time taken by the train to cover K metres

 

  • Time taken by a train of length K metres to pass a stationery object of length L metres is the time taken by the train to cover (K + L) metres.

 

  • Suppose two trains or two objects bodies are moving in the same direction at S m/s and T m/s, where S > T, then their relative speed is = (S – T) m/s.

 

  • Suppose two trains or two objects bodies are moving in opposite directions at S m/s and T m/s, then their relative speed is = (S + T) m/s.

 

  • If two trains of length K metres and L metres are moving in opposite directions at S m/s and T m/s, then
  • The time taken by the trains to cross each other = (K + L)/(S + L) sec.

 

  • If two trains of length K metres and L metres are moving in same directions at S m/s and T m/s, then
  • The time taken by the trains to cross each other = (K + L)/(S – L) sec.

 

Go to Aptitude, Reasoning and Quants Formulas & Notes