RRB JE CBT 1 - Full Test 9


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100 Questions MCQ Test RRB JE (Railways Junior Engineer) CBT Mock Test Series | RRB JE CBT 1 - Full Test 9

RRB JE CBT 1 - Full Test 9 for Railways 2023 is part of RRB JE (Railways Junior Engineer) CBT Mock Test Series preparation. The RRB JE CBT 1 - Full Test 9 questions and answers have been prepared according to the Railways exam syllabus.The RRB JE CBT 1 - Full Test 9 MCQs are made for Railways 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB JE CBT 1 - Full Test 9 below.
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RRB JE CBT 1 - Full Test 9 - Question 1

Who among the following was awarded the 2018 Golden Man Booker Prize?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 1
  • Michael Ondaatje was awarded the 2018 Golden Man Booker Prize for his novel “The English Patient”.
  • Anna Burns received the 2018 Booker Prize for her novel, “Milkman”.
  • George Saunders won the 2017 Man Booker Prize for the novel “Lincoln in the Bardo”.
  • Paul Beatty won the 2016 Man Booker Prize for the novel “The Sellout”.
RRB JE CBT 1 - Full Test 9 - Question 2

Who among the following inaugurated the Mango Festival in Tashkent, Uzbekistan?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 2
  • Minister of External Affairs, Smt. Sushma Swaraj inaugurated the Mango Festival in Tashkent, Uzbekistan in August 2018.
  • The festival was organized by the Government of Uttar Pradesh to promote Indian Mangoes business in Uzbekistan.
  • The festival was organized with the participation of Mango exporters in Tashkent.
RRB JE CBT 1 - Full Test 9 - Question 3

What was India’s rank in the 36th Golden Glove of Vojvodina Youth Men and Women Boxing Tournament?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 3
  • India ranked 1st in the 36th Golden Glove of Vojvodina Youth Men and Women Boxing Tournament.
  • The tournament took place in Serbia.
  • India won total 7 gold medals (4 men, 3 women), 6 silver medals and 4 bronze medals.
  • Kazakhstan secured the second position with 7 medals (including 5 gold) and Russia got the third position with total 11 medals (including 3 gold).
RRB JE CBT 1 - Full Test 9 - Question 4

Who is the CEO of the recently launched scheme named as Ayushman Bharat Yojana (Pradhan Mantri Jan Arogya Yojana)?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 4
  • Indu Bhushan is the CEO of the Ayushman Bharat Yojana.
  • PMJAY was launched on 23rd September 2018 in Ranchi, Jharkhand by Prime Minister Narendra Modi.
  • Health insurance of worth Rs 5 lakh will be provided under this scheme to over 10 crore families.
RRB JE CBT 1 - Full Test 9 - Question 5

“Bebak Baat” authored by the Minister of State for Parliamentary Affairs and Statistics and Programme Implementation, Vijay Goel, was released by whom in August 2018? 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 5
  • Bebak Baat” authored by Vijay Goel, was released on 9 August 2018 by Vice President Shri M. Venkiah Naidu.
  • Shri Naidu while addressing people at the gathering said that for the development of the nation, continuous communication between public representatives and the public is important.
  • Books written by:

 

RRB JE CBT 1 - Full Test 9 - Question 6

Which Pass was named after Pandit Jawaharlal Nehru?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 6
  • Banihal Pass also known as Jawahar tunnel was named after Pandit Jawaharlal Nehru.
  • It was inaugurated in the year 1956 and connects the Kashmir Valley to the hill areas of Jammu.
  • It is situated at an elevation of 2835 meters above sea level.
RRB JE CBT 1 - Full Test 9 - Question 7

Which of the following is called 'the safety valve of nature'?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 7
  • Volcanoes are known as the safety valves of nature because they periodically release the pressure that builds up because of tectonic activity in the Earth’s crust and even lower layers.
  •  When pressure builds up, eruptions occur. Magma shoots up through the volcano and flows down its sides.
RRB JE CBT 1 - Full Test 9 - Question 8

Who was the governor-general during the Second Anglo-Mysore War?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 8

Warren Hastings was the Governor General during the period of First-Second Mysore war. Lord Cornwallis was the Governor General during the period of Third Anglo-Mysore war. Lord Wellesley was the Governor General during the period of Fourth Anglo-Mysore war.

RRB JE CBT 1 - Full Test 9 - Question 9

In 1853, a Railway line was laid connecting Bombay with which city?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 9
  • The first ever railway line was laid between Bombay and Thane in the year 1853
  • Lord Dalhousie was known as the Father of Indian Railway since he launched the first ever railway carriage in the country. 
  • He also established the telegraph line between Calcutta and Agra in 1853. 
  • Lord Dalhousie was also known for the establishment of Public Works Department and Widow Remarriage Act 1856. 
RRB JE CBT 1 - Full Test 9 - Question 10

Who founded the Dravida Munnetra Kazhagam (DMK) party?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 10
  • C.N. Annadurai in the year 1949 founded the Dravida Munnetra Kazhagam (DMK) party.
  • It’s a state political party active in Tamil Nadu and Puducherry.
  • The formation of the DMK party took place due to the breakdown of the Dravidar Kazhagam.
  • It was the first party other than Indian National Congress to form government independently in a state.
RRB JE CBT 1 - Full Test 9 - Question 11

Which of the following article deals with the establishment of the Supreme Court?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 11

Article 150: The accounts of the Union and of the States shall be kept in such form as the President may, on the advice of the Comptroller and Auditor General of India, prescribe

Article 124: Establishment and constitution of Supreme Court

Article 156: Term of office of Governor

Article 120: Language to be used in Parliament.

 

RRB JE CBT 1 - Full Test 9 - Question 12

The Jaldapara National Park is situated in which of the following Indian State?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 12

Jaldapara National Park is situated at the foothills of the Eastern Himalayas in Alipurduar District of northern West Bengal and on the banks of the Torsa River. It was declared a sanctuary in 1941 for protection of its great variety flora and fauna. Today, it has the largest population of the Indian one horned rhinoceros in the state, an animal threatened with extinction, and is a Habitat management area.

RRB JE CBT 1 - Full Test 9 - Question 13

According to the Law of supply, if the price increases the supply ________.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 13
  • According to the law of supply, if the price increases the quantity supplied will also increase.
  • Law of supply states that other factors remaining constant, price and quantity supplied of a good are directly related to each other.
  • It depicts the producer behavior at the time of changes in the prices of goods and services. When the price of a good rises, the supplier increases the supply in order to earn a profit because of higher prices.
RRB JE CBT 1 - Full Test 9 - Question 14

Who among the following is a famous Classical Indian dancer?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 14
  • Uday Shankar is a famous Classical Indian dancer.
  • He was an Indian dancer, choreographer, and pioneer of modern dance in India.
  • He was awarded Padma Vibhushan in 1971, which is the second highest civilian award in India.

 

RRB JE CBT 1 - Full Test 9 - Question 15

Who was the first Indian to get Anderson Award?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 15

Hans Christine Anderson Award also known as Anderson Award is an award given to honour the literary works of an author. Ruskin Bond was the first Indian to get this prestigious award which was established in 1956.

RRB JE CBT 1 - Full Test 9 - Question 16

Which among the following options is the highest source of ascorbic acid?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 16
  • Guava is the highest source of ascorbic acid and is also high in dietary fiber.
  • Ascorbic acid or vitamin C is a multi-functional nutrient. It promotes a healthy immune system and protects the body from chemical damage.
  • All the citrus fruits such as guava, oranges, kiwi, etc, are a good source of vitamin C.
  • Apples and tomatoes are also rich in vitamin C.
RRB JE CBT 1 - Full Test 9 - Question 17

Which one of the following pairs is wrongly matched?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 17
  • Cholera is caused because of a bacterium called Vibrio cholerae.

 

RRB JE CBT 1 - Full Test 9 - Question 18

The major component of honey is:

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 18
  • The major component of honey is fructose.
  • Honey is a food substance which is sweet and is produced by bees from the sugary secretions of plants.
  • Honey gets its sweetness from glucose and monosaccharides fructose.
  • Fructose, also known as fruit sugar is a ketonic monosaccharide found in many plants.
  • Sucrose is the common table sugar and maltose is malt sugar.
RRB JE CBT 1 - Full Test 9 - Question 19

Nucleotide base present in DNA and not RNA is-

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 19
  • A nucleotide is an organic molecule which is the building block of RNA and DNA.
  • Nucleotide base present in DNA and not RNA is thymine.
  • Uracil is present in RNA instead of thymine.
  • The 5 nucleobases include thymine, uracil, adenine, cytosine, and guanine.
RRB JE CBT 1 - Full Test 9 - Question 20

In blast furnace, iron oxide is reduced by ________.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 20
  • In a blast furnace, coke (C) reacts with oxygen to form carbon monoxide, which then reacts with iron oxide to form carbon dioxide and pig iron.
  • Iron oxide must be reduced in order to obtain iron and this can be done only in a blast furnace.
RRB JE CBT 1 - Full Test 9 - Question 21

Which of the following metal is obtained by leaching it over with dilute cyanide solution?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 21
  • Silver is obtained by leaching it over with a dilute cyanide solution. It is also sometimes extracted from its ore by smelting.
  • Titanium is obtained using the Kroll process.
  • Vanadium is obtained through various ways such as passing the electric current through molten vanadium chloride or calcium with vanadium oxide.
  • Zinc is obtained by roasting and smelting.
RRB JE CBT 1 - Full Test 9 - Question 22

Which of one of the following metals is extracted by the thermal reduction process?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 22
  • Copper is extracted by the thermal reduction process. It is a group of processes based on the reduction of metal compounds by more active metals into corresponding metals and accompanied by the evolution of heat.
  • Iron is extracted through the process of calcination roasting.
  • Aluminium is extracted by the process of electrolysis.
  • Magnesium is extracted through electrochemical processes.
RRB JE CBT 1 - Full Test 9 - Question 23

Which of the following is the S.I unit of “luminance”?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 23
  • The S.I unit of “luminance” is candela per meter square, i.e., cd/m2
  • Stilb is the CGS unit of “luminance”.
  • For a light travelling in a given direction, the photometric measure of the luminous intensity per unit area, is termed as “luminance”.
RRB JE CBT 1 - Full Test 9 - Question 24

When the speed of a moving object is halved, its ______.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 24

Kinetic energy is given by the formula ½ × m × v2, where m is the mass of the moving object and v is its velocity. Therefore, when speed is halved kinetic energy becomes ¼ of the original.

Eg. m = 2 kg, v1 = 40, v= 20(when speed of object is halved)

K.E1 = 0.5 ×2× 40 ×40 = 1600

K.E2 = 0.5 × 2 × 20 × 20 = 400

RRB JE CBT 1 - Full Test 9 - Question 25

Which of the following is an example of simple harmonic motion?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 25

Oscillation is going back and forth repeatedly between two positions or states. Oscillation can be a periodic or aperiodic motion.

Simple harmonic motion is a type of periodic oscillation where the restoring force is directly proportional to the displacement.

The motion of a simple pendulum is an example of simple harmonic motion.

RRB JE CBT 1 - Full Test 9 - Question 26

Which law defines the bursting of hydrogen balloon?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 26
  • It is the Charle’s Law that describes how gases tend to expand when heated. This law was formulated by Joseph Louis Gay-Lussac in 1802, but he credited it to the unpublished work of Jacques Charles.
  • For a fixed mass of gas at constant pressure, the volume is directly proportional to the Kelvin temperature.

    V/T=Const

 

RRB JE CBT 1 - Full Test 9 - Question 27

The atmosphere of the earth is heated by the process of ________. 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 27
  • The atmosphere of the earth is heated by the process of convection. 
  • In cases of liquids and gases, the transfer of heat takes place through convection. It is a process by which heat travels through water, gas, air, or other liquids.
  • In convection, the heat energy is transferred by the actual movement of the particles from one place to another. Whenever a liquid or a gas is heated, the molecules of these substances become lightened and move upwards and then cooler molecules settle downwards and heated. In this way, the atmosphere of our earth is heated by the process of Convection. 
  • Radiation is the propagation or emission of energy in the form of waves or rays.
  • Conduction is the process of movement of electricity or heat through a passage or medium.
  • The discharge and production of radiations and gases is known as emission.

Note: Radiation and Conduction processes are also involved but Convection is dominant. 

RRB JE CBT 1 - Full Test 9 - Question 28

A person with hypermetropia ______. 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 28
  • A person with hypermetropia cannot see nearby objects clearly.
  • Hypermetropia, sometimes called hyperopia, is the term used to define being longsighted.
  • If a person is hypermetropic, the image of a nearby object is formed behind the retina. This means that light is focused too far back in the eye, causing things which are close up to appear blurred.

Hence, 1 is the correct option.

RRB JE CBT 1 - Full Test 9 - Question 29

The phenomenon of electromagnetic induction is ________. 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 29
  • The phenomenon of electromagnetic induction is the current induced in a coil due to relative motion between a magnet and the coil.
  • It was discovered by Michael Faraday.
  • Electrical equipment like motor, generators, and transformer are based on the phenomena of electromagnetic induction.
RRB JE CBT 1 - Full Test 9 - Question 30

The work done on an object depends on:

1. Displacement
2. The angle between force and displacement
3. Force applied
4. The initial velocity of an object

Choose the correct options from the following:

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 30

Work done is given by the dot product of force and displacement vector i.e.,  = Fd cosq, where q is the angle between the force and displacement vector. Hence the work done depends on displacement d, force F, and q - angle between force and displacement.

RRB JE CBT 1 - Full Test 9 - Question 31

Which of the following is used for the preparation of dynamite?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 31
  • Dynamite is an explosive which is used in mining, quarrying, construction and demolition industries. 
  • It is made of Nitroglycerin, sorbents and stabilizers. 
  • It was invented by Swedish Chemist Sir Alfred Nobel on whose memory the Nobel Prize has been constituted. 
  • Nitro Glycerin: C3H5N3O9
RRB JE CBT 1 - Full Test 9 - Question 32

Which one of the following types of medicines are used for treating indigestion?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 32

Antacids usually neutralize the acidity of the stomach which gives relief during indigestion.

Antibiotics prevent the growth of bacterial infections in the body.

Analgesic medicines are used to give relief from pain.

Antiseptics are used to cure infections or upper tissues of the body.

RRB JE CBT 1 - Full Test 9 - Question 33

Glycogen, starch, and cellulose are polymers of

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 33
  • Glycogen, starch and cellulose are polymers of Glucose.
  • Polymers are materials made of long, repeating chains of molecules.
  • Glycogen serves as a form of energy storage in humans, animals, fungi, and bacteria.
  • Starch is a polymer made by plants to store energy.
  • Cellulose is the main substance that makes up the cell walls and fibers of plants.
RRB JE CBT 1 - Full Test 9 - Question 34

Which one of the following is the chemical formula of Green Vitriol?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 34

Ferrous Sulphate(FeSO4) is also known as Green Vitriol. It is a bluish - green crystalline compound. It is used in sewage and water treatment and as a pigment and fertilizer. It also has usage in medicine to treat iron deficiency.

RRB JE CBT 1 - Full Test 9 - Question 35

Which type of coal exists in both caking and non-caking forms?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 35
  • Bituminous is the type of coal which is available in both caking and non-caking forms.
  • Caking coal is a type of coal which when heated in anaerobic conditions leaves a solid residue whereas non-caking coal when heated in similar conditions leaves a powdery residue.
  • Peat coal is the first stage of transformation and that is why it contains more impurities and less amount of carbon. 
  • Lignite is lower grade coal and it contains 40-55 percent carbon. 
  • Anthracite coal is the best quality coal and it contains around 90% carbon in it. 
RRB JE CBT 1 - Full Test 9 - Question 36

What is the name of the acid in grapes?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 36

The principal organic acids found in grapes are tartaric, malic, and to a small extent, citric.

RRB JE CBT 1 - Full Test 9 - Question 37

Who among the following is known as 'Father of Medicine'?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 37

RRB JE CBT 1 - Full Test 9 - Question 38

Halophytes are plants that grow in __________.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 38

Halophytes are plants that grow in salt water. The most common example of this is Mangroves which are quite ubiquitous across India’s coastal lines. Moreover it’s one of the type of Mangroves named Sundari, after which the forest of Sundarbans are based upon.

RRB JE CBT 1 - Full Test 9 - Question 39

The tough outer covering which protects the seed from insects is called?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 39
  • Testa, also known as ‘seed coat’, is the tough outer covering of a seed which provides it protection. It develops from the integument.
  • Hilum is a scar on the seed coat that indicates the region of detachment.
  • Radicle is a part of the seedling that develops into the root of the plant.
RRB JE CBT 1 - Full Test 9 - Question 40

The smallest blood vessels which are one-cell thick, are called ______.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 40

The smallest blood vessels which are one-cell thick, are called Capillaries. Their main function is to enable the exchange of substances between the blood and surrounding tissues. They provide nutrients and oxygen to tissues and remove the byproducts of cellular reactions, such as carbon dioxide and water.

RRB JE CBT 1 - Full Test 9 - Question 41

Oil spills is seen in which ecosystem?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 41

● An oil spill is the release of a liquid petroleum hydrocarbon in the environment, especially in the marine ecosystem because of human activity.

● It is a form of pollution which is caused because of release of crude oil from tankers, drilling rigs and wells, offshore platforms and more.

● It can have disastrous consequences for society; economically, environmentally, and socially.

RRB JE CBT 1 - Full Test 9 - Question 42

Which one of the following is NOT included in the National Air Quality Index?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 42

Disclaimer: We have changed the statement and options of this question slightly as UPSC dismissed this question in the official answer key.

All of them are included in the National Air Quality Index

  • Concentration of Air pollutants like PM10, PM2.5, NO2, O3, CO, SO2, NH3 and Pb in the air is computed to determine the Air Quality through National Air Quality Index.
  • It is aimed at balancing environment, conservation and development.
  • The Minister for Environment, Forests & Climate Change launched ‘The National Air Quality Index’ (AQI) in New Delhi
  • There are six AQI categories, namely Good, Satisfactory, Moderately polluted, Poor, Very Poor, and Severe.  


Note: National Air Quality Index is ‘One Number- One Colour-One Description’ for the common man to judge the air quality within his vicinity.

RRB JE CBT 1 - Full Test 9 - Question 43

“Montreal Protocol” is related to ________

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 43

The chemicals controlled by the Montreal Protocol at first included refrigerants such as Chlorofluorocarbons(CFCs) and halons, but the list of controlled chemicals under the Montreal Protocol today includes HCFCs, methyl bromide, and other ozone - depleting substances (ODS).

RRB JE CBT 1 - Full Test 9 - Question 44

The famous Narmada Bachao Andolan was led by

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 44

NBA is a social movement consisting of adivasis, farmers, environmentalists and human rights activists against a number of large dams being built across the Narmada River. Anna Hazare led the India against corruption movement whereas Sunderlal Bahuguna led the Chipko movement

RRB JE CBT 1 - Full Test 9 - Question 45

The series of processes by which nitrogen and its compounds are interconverted in the environment and in living organisms is called _____.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 45

The series of processes by which nitrogen and its compounds are interconverted in the environment and in living organisms is called nitrogen cycle. Important processes in the nitrogen cycle include fixation, ammonification, nitrification, and denitrification.

RRB JE CBT 1 - Full Test 9 - Question 46

In the following question, select the odd word from the given alternatives.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 46

Sugary means containing much sugar.

Stinky means having a strong or unpleasant smell.

Cloying means to disgust or sicken (someone) with an excess of sweetness.

Saccharine means excessively sweet or sentimental.

Here all the words are related of sweet, while stinky is antonym of sweet.

Thus ‘stinky’ is the odd word.

RRB JE CBT 1 - Full Test 9 - Question 47

In the following question, select the odd word from the given alternatives.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 47

1) Lao Kip → is a currency of Laos

2) Ngultrum → is a currency of Bhutan

3) Hryvnia → is a currency of Ukraine

4) Baku → is a capital of Azerbaijan

Here all the words are currencies of different countries, whereas Baku is the capital.

Thus ‘Baku’ is the odd word.

RRB JE CBT 1 - Full Test 9 - Question 48

In the following question find out the alternative which will replace the question mark.
FD : T :: DA : ?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 48

The logic here is as follows,

Considering the place value of letters as per English alphabetical series,

FD → 62 - 42 = 36 - 16 = 20

The alphabet whose place value is 20 is T.

Similarly,

DA → 42 - 12 = 16 - 1 = 15

The alphabet whose place value is 15 is O.

Hence, “O” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 49

In the following question, a group of interrelated words is given. Choose a word from the given alternatives, which is similar to the given words and hence belongs to the same group.
Hepatitis : Measles : Tuberculosis : ?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 49

Hepatitis, Measles and Tuberculosis are communicable diseases. Similarly from the options Cholera is also a communicable disease.

Hence, ‘Cholera’ belongs to the same group.

RRB JE CBT 1 - Full Test 9 - Question 50

In question, choose the correct alternative from the given one which will complete the series.
T15D, Q17F, ?, K21J, H23L

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 50

Here the pattern is as follows,


Thus the missing term is ‘N19 H’.

RRB JE CBT 1 - Full Test 9 - Question 51

In a certain language, “PHOBIA” is coded as “19215816” then how will “HUMBLE” be coded as?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 51

According to given coding language,



Now if numbers are written in reverse order we get, 19215816.

Similarly for HUMBLE,


Now writing the numbers in reverse order we get, 512213218.

Hence, “HUMBLE” is coded as “512213218”.

RRB JE CBT 1 - Full Test 9 - Question 52

Directions: The question below consists of a statement followed by two arguments, I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given arguments be definitely drawn from the given statement.

Statement: Should cigarettes be banned completely?

Arguments:
I.
 Yes, it is very dangerous to life and can lead to death.
II. No, since a lot of people working in the cigarette manufacturing factory would become jobless.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 52

Cigarettes are injurious to health even if consumed in lower levels. It should be avoided completely since it will cause cancer leading to death finally. Argument I states this issue and strongly favours the statement of banning cigarettes. Argument II is also strong as the cigarette industry is a big one and closing it down completely will lead to many workers losing their jobs. Argument II also follows.

Either argument I or II is true. the statement.

RRB JE CBT 1 - Full Test 9 - Question 53

The letter, A, E, G, H, N, O, P & T are numbered as 1, 2, 3, 4, 5, 6, 7 & 8 respectively. Select that combination of the number so that letter arranged accordingly, form a meaningful word.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 53

If the letters A, E, G, H, N, O & N are numbered 1, 2, 3, 4, 5, 6, 7 & 8


1) 42871356 → HETPAGNO

2) 42781536 → HEPTANGO

3) 42781365 → HEPTAGON

4) 42783156 → HEPTGANO

Hence, “42781365” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 54

In the following figure, the rectangle represents Dutch, the circle represents Indian, the triangle represents African and the square represents Chinese. Which set of letters represents Indians who are either African or Chinese?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 54

Rectangle represents Dutch, circle represents Indian, triangle represents African and square represents Chinese.

Letters representing Indians who are either African or Chinese i.e. circle which is either triangle or square are H and G.

Hence, “None of the above” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 55

In the following figure, the rectangle represents Cars, the circle represents Ford, the triangle represents Mercedes and square represents Truck. Which set of letters represents Truck who is either Ford or Mercedes?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 55

Rectangle represents Cars, circle represents Ford, triangle represents Mercedes and square represents Truck.

Letters representing Truck who is either Ford or Mercedes i.e. square which is either circle or triangle are D and F.

Hence, “D and F” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 56

In the question, two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: Some diet contains protein.
Statement II: Some proteins are healthy.

Conclusion I: Some diets are healthy.
Conclusion II: No diet is healthy.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 56

The least possible Venn diagram from the given statements is as follows,

Conclusion I: Some diets are healthy → False

Conclusion II: No diet is healthy → False

But these two forms a complementary pairs.

Hence, either conclusion I or II follows.

RRB JE CBT 1 - Full Test 9 - Question 57

Direction: A piece of paper is folded and cut as shown below in the question figure. From the given answer figures, indicate how it will appear when opened.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 57

When the paper is unfolded it will appear as below:-


Hence option 3rd is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 58

Directions: In the question given below, a statement is followed by two courses of actions numbered I and II are given. On the basis of the information given in the states considered to be true, decide which of the suggested courses of actions logically follow(s) for pursuing.

Statement: A passenger train has derailed from its path and many coaches caught fire. 

The course of action:
I. Immediate medical help needs to be sent to the place of the accident. 
II. Fire brigade should be sent to the location of the accident so as to stop the burning. 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 58

After a train derails, the first step would be to save the lives of people. Also, many coaches have caught fire. Therefore, sending medical help and fire brigade to the location of the accident would be necessary to stop more damage.

Hence, both I and II follow and option (4) is correct.

RRB JE CBT 1 - Full Test 9 - Question 59

Three positions of a dice are given below. Identify the number on the face opposite the face showing 4.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 59

As face containing 2 is visible on all given cubes the other faces surrounding the face containing 2 are 5, 3, 6, and 4.

Face containing 6 is adjacent to face containing 4 and 3.

That means face containing 4 and 3 are opposite to each other.

RRB JE CBT 1 - Full Test 9 - Question 60

There are 5 people A, B, C, D, and E, having different cars Polo, Verna, Alto, Wagon R, and Jeep. They were visiting on a different day of the week to the service center. No car gets it’s servicing done on Monday and Sunday. C is having Wagon R and visit service center on Friday. B doesn’t have Jeep. A visits service center on Tuesday. Polo gets it’s servicing done on Saturday. No person gets servicing done between A and D. B don’t have a Polo car. Car alto gets serviced between Verna and Jeep. On which day Alto gets servicing and also determine who’s having Jeep?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 60

According to the question,

1) No car gets it’s servicing done on Monday and Sunday.

2) Polo gets it’s servicing done on Saturday.

3) C is having Wagon R and visit service center on Friday.

4) A visits service center on Tuesday.

 

5) No person gets servicing done between A and D.

6) B don’t have Polo car or Jeep.

7) Car Alto gets serviced between Verna and Jeep.

Hence, from the above arrangement, Alto gets servicing done on Wednesday and A is having the Jeep.

RRB JE CBT 1 - Full Test 9 - Question 61

In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.
18 – 9 ÷ 15 + 10 × 5 = ?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 61

Changing operations as given format:


Given expression: 18 - 9 ÷ 15 + 10 × 5 = ?

After changing the symbols: 18 ÷ 9 × 15 - 10 + 5

= 2 × 15 - 10 + 5

= 30 - 10 + 5

= 25

Hence, “25” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 62

Find the angle between the hour hand and minute hand when the clock shows 2 : 22 PM?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 62

Using the formula to find the angle between hour hand and minute hand

Θ = 30 H - 11/2 M

Where H = hour hand

And M = minute hand

Hour hand is in between 2 and 3, 30 (2) = 60.

For minute hand

11/2 (22) = 121

The difference between our hand and minute hand will be 121 – 60 = 61 degree

Hence, 61 degree is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 63

Select the number which can be placed in the sign of question mark (?) from the given alternative?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 63

The pattern followed here is,

52 = 25; 25 – (5 × 2) = 25 – 10 = 15; 15 + 52 = 40

42 = 16; 16 – (4 × 2) = 16 – 8 = 8; 8 + 42 = 24

Similarly,

62 = 36; 36 – (6 × 2) = 36 – 12 = 24; 24 + 62 = 60

Thus the missing number is 60.

RRB JE CBT 1 - Full Test 9 - Question 64

Eight people A, B, C, D, E, F, G, and H are sitting around a circular table facing outside.

A and E sit opposite to each other. G is not an immediate neighbor of A. D sits second to the left of A. H is the immediate neighbor of A. F who is not an immediate neighbor of C sits opposite to that of H. C is not the immediate neighbor of either A or E.

Who sits third to the left of C and also determined how many people sit between E and B counting clockwise from E?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 64

According to the question,

1) Eight people A, B, C, D, E, F, G, and H are sitting around a circular table facing outside.

2) A and E sits opposite to each other.

3) C is not the immediate neighbor of either A or E.

4) D sits second to the left of A.


5) H is the immediate neighbor of A.

6) F who is not an immediate neighbor of C sits opposite to that of H.


7) G is not an immediate neighbor of A.


Hence, from the above arrangement, B is sitting third the left of C and there are 2 people sitting between E and B counting clockwise from E.

Hence “B, 2” is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 65

Directions: Given below is a statement followed by two inferences numbered I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.
Statement: Two of the three suspects were found guilty and the other one was taken in for misprision. However, not all of the victim’s allegations were found to be voracious.
Inferences: 
I. The victim made fake allegations on the suspects.
II. The two guilty suspects manipulated the other one to mask them.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 65

Answer: Option 4 is correct.
Solution:
 The statement does say that some of the victim’s allegations were not true, but that does not mean that all of the victim’s allegations were fake. So, inference I does not follow. The third suspect is taken for misprision but that does not imply that the other two guilty ones made him conceal their crime. So, inference II is also not true. Therefore, option 4 is the correct answer.

RRB JE CBT 1 - Full Test 9 - Question 66

There are five girls, Shweta, Fatima, Harshita, Deepti and Sakshi, who got different marks in the examination. Harshita gets more marks than only Sakshi and Shweta. Shweta scored less marks than Deepti, who did not scored the highest marks.

Who scored the highest marks among them?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 66

Harshita gets more marks than only Sakshi and Shweta.

_ > _ > Harshita > Shweta/Sakshi > Shweta/Sakshi

Shweta scored less marks than Deepti, who did not scored the highest marks.

Fatima > Deepti > Harshita > Shweta/Sakshi > Shweta/Sakshi

Hence Fatima scored the highest.

RRB JE CBT 1 - Full Test 9 - Question 67

In a family of eight people A, B, E, G, H, I, J and K there are an equal number of male and female members. A has two children a son and a daughter E and G. G is married to I who is the mother of K. K is married to H. J is the son of H but K is not his mother. A is married to B.

How is K related to A?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 67



Hence, from the above arrangement, K is the grandson of A.

RRB JE CBT 1 - Full Test 9 - Question 68

At a school, pointing towards a teacher Mr. C said, “I am a child of her father’s wife’s mother-in-law’s grandchild but none of my parents is a teacher”. Then how is the teacher related to C?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 68


I am child of her father’s wife’s mother-in-law’s grandchild but none of my parents are teacher: Means teacher is a female as her is used here. And none of C's parents are teacher means Teacher cannot be the mother of C.

Hence, from the above arrangement Teacher is Aunt of C.

RRB JE CBT 1 - Full Test 9 - Question 69

From the given answer figures, select the one in which the question figure is hidden/embedded?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 69

On close observation, we find that the problem figure in embedded in figure (3) as shown below.


Hence, the answer is figure 3.

RRB JE CBT 1 - Full Test 9 - Question 70

Directions: The question consists of two statements, an assertion and a reason. The student must first determine whether each statement is true and if both are true find if the reason is the correct explanation of the assertion.  

Assertion (A): Labor laws do not defend the small businesses and shops in the country.

Reason (R):  Due to these labor laws economy slows down.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 70

Answer: Option (4) is correct.
Solution: Labour laws and excessive regulations assumed to protect the labor are the cause of slow employment growth in high paying, organized sector. Companies find it difficult to pay the minimum wages and ask them to work only up to some time limit fixed by the respective country’s government. As a result, there is less foreign investment leading to a downturn of the economy. Therefore, assertion is completely false by definition only and reason, as stated above, is true. Therefore A is false but R is true.

RRB JE CBT 1 - Full Test 9 - Question 71

What will come in place of question mark ‘?’ in the following question?​

[(289 + 87) ÷ 2 - 7 × 18 ÷ 2 + {(9 + 5) × 19} + 3 × 7 - 9] × 19 + 9 = ?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 71

[(289 + 87) ÷ 2 - 7 × 18 ÷ 2 + {(9 + 5) × 19} + 3 × 7 - 9] × 19 + 9 = ?

[376 ÷ 2 - 7 × 18 ÷ 2 + {(9 + 5) × 19} + 3 × 7 - 9] × 19 + 9 = ?

? = [188 - 7 × 18 ÷ 2 + 266 + 3 × 7 - 9] × 19 + 9

? = [188 - 7 × 9 + 266 + 3 × 7 - 9] × 19 + 9

? = [188 - 63 + 266 + 3 × 7 - 9] × 19 + 9

? = [188 - 63 + 266 + 21 - 9] × 19 + 9

? = 7657 + 9

? = 7666.

RRB JE CBT 1 - Full Test 9 - Question 72

A person purchased 10 shirts costing Rs. 150 per shirt. Next day he again purchased the shirts costing Rs. 150 per shirt at a discount of Rs. 30 per shirt and that day he spent a total of Rs. 1800. What is the average cost per shirt (in Rs.)?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 72

Cost of 10 shirts on 1st day = 10 × 150 = 1500 Rs.

Cost price of shirt on 2nd day = 150 – 30 = 120 Rs.

No. of shirt purchased on 2nd day = 1800/120 = 15

Total expenditure = 1500 + 1800 = 3300

Total shirts = 10 + 15 = 25

∴ Average cost of shirt = 3300/25 = Rs. 132

RRB JE CBT 1 - Full Test 9 - Question 73

In a school leader election Manoj got 30% votes, Suresh got 34% votes and Ramesh got 36% votes. If Ramesh leads Suresh by 40 votes then find the number of students in the school?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 73

Given,

⇒ Percent votes gained by Suresh = 34%

⇒ Percent votes gained by Ramesh = 36%

⇒ Percent difference between their votes = 2%

⇒ Number of Vote difference between them = 40

∴ 2% = 40

⇒ 100% = (40/2) × 100 = 2000

RRB JE CBT 1 - Full Test 9 - Question 74

Among four students sitting in a row, the average age of the last three students is 20 years and the average age of the first three students is 21 years. If the age of the first student is 26 years, then what is the age (in years) of the last student?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 74

Let the four students be a, b, c, d

Sum of age of the last three students (b + c + d) = 20 × 3 = 60      ----(1)

Sum of age of the first three students (a + b + c) = 21 × 3 = 63     ----(2)

Subtraction Equation 2 with Equation 1, we get (a - d) = 3

Given age of the first student ‘a’ = 26

Age of the last student ‘d’ = a – 3 = 26 – 3 = 23

∴ Required answer = 23

RRB JE CBT 1 - Full Test 9 - Question 75

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of the rectangle?

 

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 75

Let Length and breadth of rectangle be a and b respectively

Initial area = length × Breadth = ab

New length = a + 40% of a = 1.4a

New breadth = b + 70% of b = 1.7b

New area = (1.4a) × (1.7b) = 2.38ab

∴ Required % = {(2.38ab – ab/ab} × 100 = 138%

RRB JE CBT 1 - Full Test 9 - Question 76

An alloy contains silver, gold, and platinum in the ratio 4 : 7 : 3 and another contains gold, platinum, and iron in the ratio 9 : 11 : 8. If equal weights of both alloys are melted together to form a third alloy, then the weight of gold per kg in the new alloy will be

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 76

Let the amounts of silver, gold and platinum in the first alloy be 4x, 7x and 3x.

Total amount used = 14x.

Let the amounts of iron, gold and platinum in the second alloy be 8y, 9y and 11y.

Total amount used = 28y

Since equal amounts are mixed, 14x = 28y ⇒ x = 2y

Total alloy = 28y + 28y = 56y = 1 Kg. ⇒ y = 1/56 Kg

Amount of gold = 7x + 9y = 14y + 9y = 23y = 23/56 Kg.

RRB JE CBT 1 - Full Test 9 - Question 77

What will come in place of question mark ‘?’ in the following question?

(1/64)0 + (-32)4/5 + (64)-1/2 + (32)2/5 = ?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 77

Follow these BODMAS rules to solve the question

Step-1∶ The part of the equation containing 'Brackets' must be solved first, and in the bracket,

Step-2∶ Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3∶ Next, the parts of the equation that contain 'Division' and 'Multiplication' are solved

Step-4∶ At last, the part of the equation that contains 'Addition' and 'Subtraction' should be solved.

⇒ (1/64)0 + (-32)4/5 + (64)-1/2 + (32)2/5 = ?

Anything raise to power 0 is 1, ∴ (1/64)0 is = 1

⇒ ? = 1 + (-25 × 4/5) + (1/8) + (25 × 2/5)

⇒ ? = 1 + 16 + 1/8 + 4

⇒ ? = 21 + 1/8

⇒ ? = 169/8

RRB JE CBT 1 - Full Test 9 - Question 78

In a camp, the rice can feed 75 men or 150 children. If 100 children have taken the meal, how many men will be catered to with remaining rice?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 78

There is a rice for 150 children

100 children have taken the meal.

Remaining rice is to be catered to 50 children.

150 children = 75 men.

50 children = (75 × 50)/150 = 25 men.

RRB JE CBT 1 - Full Test 9 - Question 79

The ratio of the wages of Sunny and Mickey is 2 : 3 and the ratio of the wages of Mickey and Vicky is 7 : 8. If the product of the wages of Mickey and Vicky is 50400. Find the difference between the square of the wages of Mickey and Sunny?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 79

Given that,

Ratio of the wages of Sunny and Mickey = 2 : 3

Ratio of the wages of Mickey & Vicky = 7 : 8

Ratio of the wages of Sunny, Mickey and Vicky are 14 : 21 : 24

Let the wages of Mickey be 21x and that of Vicky be 24x

According to the question,

21x × 24x = 50400

⇒ 504x2 = 50400

⇒ x2 = 100

⇒ x = 10

So, the wages of Mickey = Rs. 210 and the wage of the Vicky is Rs. 240

So, the wage of Sunny = 210 × (2/3) = Rs. 140

Hence the required difference = (210)2 – (140)= 44100 – 19600 = 24500

∴ The required answer is 24500

RRB JE CBT 1 - Full Test 9 - Question 80

What is the remainder when (255 + 323) is divided by 5?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 80

We can write, 255 = (24)13 × 23

⇒ Unit digit (255) = Unit digit (613 × 8)

⇒ Unit digit (255) = Unit digit (6 × 8) = 8

Similarly,

We can write, 323 = (34)5 × 33

⇒ Unit digit (323) = Unit digit (15 × 7)

⇒ Unit digit (323) = 7

Now,

Unit digit (255 + 323) = Unit digit (8 + 7) = 5

∵ When 5 is divided by 5, the remainder is 0

∴ When (255 + 323) is divided by 5, the remainder is 0

RRB JE CBT 1 - Full Test 9 - Question 81

How many numbers from 33 to 143 are divisible by both 4 and 7?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 81

When a number is divisible by both 4 and 7, then the number is also divisible by 4 × 7 = 28.

The numbers from 33 to 143 which are divisible by 28 are 56, 84, 112 and 140

Hence, there are 4 numbers between 33 and 143 which are divisible by 4 and 7.

RRB JE CBT 1 - Full Test 9 - Question 82

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 82

Let the fraction be y

According to the problem statement

⇒ 4y + 7/y = 16

⇒ 4y2 – 16y + 7 = 0

⇒ (y – 1/2)(y – 7/2) = 0

⇒ y = ½ or y = 7/2

the required fraction is 7/2 which satisfies the above given condition

∴ the value of required fraction is 7/2

RRB JE CBT 1 - Full Test 9 - Question 83

If (a2 + 1/a2) = 17/4, find the value of (a2 - 1/a2).

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 83

∵ (a + 1/a)2 = (a2 + 1/a2) + 2

⇒ (a + 1/a)2 = 17/4 + 2 = 25/4

⇒ (a + 1/a) = 5/2

Also,

∵ (a - 1/a)2 = (a2 + 1/a2) - 2

⇒ (a - 1/a)= 17/4 - 2 = 9/4

⇒ (a - 1/a) = 3/2

∴ (a2 - 1/a2) = (a + 1/a)(a - 1/a) = 5/2 × 3/2 = 15/4

RRB JE CBT 1 - Full Test 9 - Question 84

Under what conditions on p and q, one of the roots of the equation x2 + px + q = 0 is the square of other?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 84

Let the roots be t and t2

⇒ Sum of roots = -b/a

⇒ t + t2 = -p

⇒ Product of roots = c/a

⇒ t3 = q

p3 + q2 = -(t + t2)3 + t6

⇒ -[t3 + t6 + 3t3(t + t2)] + t6 [∵ (a + b)3 = a3 + b3 + 3ab(a + b)]

⇒ -[t+ 3t3(t + t2)]

⇒ -[q - 3qp] [∵ t3 = q, t + t2 = -p]

⇒ p3 + q2 = -q + 3pq

∴ p3 + q + q2 = 3pq

RRB JE CBT 1 - Full Test 9 - Question 85

If a*b = a + b + a/b, then the value of 12*4 is:

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 85

Applying the operation of a*b with 12 and 4 we have

= 12 + 4 + (12/4)

= 16 + 3

= 19

RRB JE CBT 1 - Full Test 9 - Question 86

An amount was divided between Karan and Kunal, such that the sum of 5 times of Karan’s share and 2 times of Kunal’s share is equal to 4 times the amount. If the sum of 1/5 of Karan’s share and 1/4 of Kunal’s share is equal to Rs. 325, find the amount of money.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 86

Let Kunal and Karan’s share be Rs. ‘x’ and Rs. ‘y’ respectively

Amount of money = x + y

⇒ 5x + 2y = 4(x + y)

⇒ 5x – 4x = 4y – 2y

⇒ x = 2y

Also, (1/5)x + (1/4)y = 325

⇒ 4x + 5y = 325 × 20

Substituting for x,

⇒ 4(2y) + 5y = 6500

⇒ 13y = 6500

⇒ y = 6500/13 = 500

⇒ x = 2y = 2(500) = 1000

∴ The amount of money is = x + y = 1000 + 500 = Rs. 1500

RRB JE CBT 1 - Full Test 9 - Question 87

A man gains 70% by selling an article for a certain price. If he sells it at half the price, then what will be the loss percentage?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 87

Given,

A man gains 70% by selling an article for a certain price.

Let the cost price of an article be Rs.100.

Profit percentage = [(S.P - C.P) / C.P] × 100

⇒ 70 = [(S.P - 100) / 100] × 100

⇒ 70 = S.P - 100

⇒ S.P = Rs.170

Given,

If he sells it at half the price, then

New S.P = Rs.85

Loss percentage =

= [(C.P - S.P) / C.P] × 100

= [(100 - 85) / 100] × 100

= 15

∴ Loss percentage is 15%.

RRB JE CBT 1 - Full Test 9 - Question 88

X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 88

X invested Rs. 12000 for 4 months

⇒ X’s total capital investment = 12000 × 4 = 48000

Y invested Rs. 9000 for 12 months

⇒ Y’s total capital investment = 9000 × 12 = 108000

Z invested Rs. 18000 for 12 - 4 = 8 months

⇒ Z’s total capital investment = 18000 × 8 = 144000

∵ Ratio of profit share = Ratio of total capital investment

⇒ Ratio of profit share = 48000 ∶ 108000 ∶ 144000 = 4 ∶ 9 ∶ 12

Sum of ratios = 4 + 9 + 12 = 25

Now, total profit = Rs. 12500

∴ Z’s profit share = 12/25 × 12500 = Rs. 6000

RRB JE CBT 1 - Full Test 9 - Question 89

If a + a2 + a3 - 1 = 0, then what is the value of a3 + (1/a)?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 89

⇒ a + a2 + a3 - 1 = 0

⇒ a + a2 + a= 1      ---- (1)

Dividing the equation by a, we get

⇒ 1 + a + a2 = 1/a

⇒ a3 + (1/a) = a3 + 1 + a + a2 = a + a2 + a3 + 1

Substituting the value from equation 1, we get

⇒ a3 + (1/a) = 1 + 1 = 2

RRB JE CBT 1 - Full Test 9 - Question 90

Dinesh purchases 10 dozens of apples at the rate of Rs. 180 per dozen. He sold each one of them at the rate of Rs. 19.5. What is the profit (in percentage) of Dinesh?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 90

Total cost price = 10 × 180 = Rs. 1800

Total selling price = 10 × 12 × 19.5 = Rs. 2340

∴ Profit % = {(S.P - C.P)/C.P} × 100 = {(2340 - 1800)/1800) × 100 = 30%

RRB JE CBT 1 - Full Test 9 - Question 91

At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 91

Let rate of interest be r

C.I = Principal × [(1 + r/100)Time - 1]

⇒ 1881 = 10000 × [(1 + r/100)- 1]

⇒ 1881/10000 = [(1 + r/100)- 1]

⇒ 0.1881 + 1 = (1 + r/100)2

⇒ 1.1881 = (1 + r/100)2

⇒ 1.09 = 1 + r/100

⇒ r = 9%

Simple interest = (Principle × Time × r)/100

⇒ S.I = (10000 × 9 × 3)/100 = 2700

∴ Simple interest = Rs. 2700

 

Alternative Method :

Given, Principal = Rs. 10000   

Amount = 10000 + 1881 = Rs. 11881 (After 2 years)

for calculating the rate for 2 years. we have to take square root of both the values

then we get

P = 100 and A = 109

R = 109 - 100/100 × 100 = 9%

Now,

Simple interest = (Principle × Time × r)/100

⇒ S.I = (10000 × 9 × 3)/100 = 2700

∴ Simple interest = Rs. 2700

RRB JE CBT 1 - Full Test 9 - Question 92

A goods train and a passenger train every 1200 m long are running in opposite directions on parallel paths. Their speeds are 32 kmph and 40 kmph respectively. Find the time taken by the driver of the goods train to pass the passenger train.

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 92

The relative speed of driver of the goods train with respect to the passenger train

⇒ 32 + 40 = 72 kmph

⇒ The relative speed of driver of the goods train with respect to the passenger train in m/s

∴ Time taken by the driver of the goods train to pass the passenger train = 1200/20 = 60 s

RRB JE CBT 1 - Full Test 9 - Question 93

What equal annual payment will discharge a debt of Rs. 7620 in 3 years at  per annum compound interest?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 93


Let each installment be Rs. x

Hence, (Amount of Rs. x due 1 year hence) + (Amount of Rs. x due 2 years hence) + (Amount of Rs. x due 3 years hence) = 7620


⇒ 6x/7 + 36x/49 + 216x/343 = 7620

⇒ 294x + 252x + 216x = 7620 × 343

⇒ x = (7620 × 343) /762 = 3430

∴ Amount of each installment = Rs. 3430

RRB JE CBT 1 - Full Test 9 - Question 94

Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has traveled 90 km more than the first. What is the distance (in km) between S and R?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 94

⇒ Let the total distance covered by the train ‘S’ be ‘d’, Then the distance covered by train ‘R’ be (90 + d)

⇒ When they meet for the first time, they both have travelled for the same time, so the Speed is directly proportional to Distance

⇒ S1/S2 = D1/D2

⇒ (35/42) = d/(d + 90)

⇒ (35/42) = d/(d + 90)

⇒ 5× (d + 90) = 6d

⇒ 5d+ 450 =6d

⇒ d = 450

⇒ Distance between S and R =  450 + (450 + 90)

∴ Required Distance = 990

Alternative:

Difference in speed between 2 trains = 42 - 35 = 7 km/hr

Since train 2 has covered 90 kms more before they meet.

So, total time taken to cover 90 km = 90/7 = 12.857 hours

Distance covered by train 1 before they meet = 12.857 × 35 = 450 km

Distance covered by train 2 before they meet = 450 + 90 = 540 km

So total distance between S and R = 450 + 540 = 990 km

RRB JE CBT 1 - Full Test 9 - Question 95

L alone can do a work in 100 hours. M alone can do the same in 150 hours. L, M, and N together can do the same work in 30 hours. In how many hours can N alone do the work?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 95

Given,

L’s 1 hour’s work = 1/100

M’s 1 hour’s work = 1/150

Let N can complete work in n days.

N’s 1 hour’s work = 1/n

Given,

(L + M + N)’s 1 hour’s work = 1/30

⇒ 1/30 = (1/100) + (1/150) + (1/n)

⇒ 1/30 = 1/60 + 1/n

⇒ 1/n = 1/30 - 1/60

⇒ 1/n = 1/60

∴ N can complete work in 60 days.

RRB JE CBT 1 - Full Test 9 - Question 96

The sum of radii of the two circles is 91 cm and the difference between their areas is 2002 cm2. What is the radius (in cm) of the larger circle?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 96

Let the radii be a and b respectively

⇒ a + b = 91     ---- (1)

⇒ Difference in area = (22/7) × (a– b2) = 2002

⇒ a– b= 91 × 7     ---- (2)

Dividing equation 2 by equation 1 and using [a– b= (a + b) (a – b)], we get

⇒ a – b = 7     ---- (3)

By Adding equation 1 and 3, we get

⇒ 2a = 98

⇒ a = 49 cm

⇒ b = 42 cm

∴ Radii of larger circle is 49 cm

RRB JE CBT 1 - Full Test 9 - Question 97

The angle of elevation from point A to the 20-meter-high building is 45°. A flag is hoisted at the top of building and angle of elevation from point A to top of the flag is 60° then the length of the flag pole is?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 97


IN ΔABC

RRB JE CBT 1 - Full Test 9 - Question 98

A cube of the maximum value (each corner touching the surface from inside) is cut from a sphere. What is the ratio of volume of the cube to that of the sphere?

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 98

When cube of maximum volume is cut from sphere, the diagonal of the cube = Diameter of the sphere

∴ √3 a = 2r

a/r = 2/√3

Volume of cube/Volume of sphere = a3/ (4/3 π r3)

⇒ 3/(4π) × (a/r)3

⇒ 3/(4π) × (2/√3)3

⇒ 2/(√3π)

∴ The required ratio = 2 ∶ √3π

RRB JE CBT 1 - Full Test 9 - Question 99

If the 6th term of HP is 8 and 5th term of HP is 11, then its 17th term is

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 99

We know, a1, a2, a3…..aare said to be H.P, then 1/a1, 1/a2, 1/a3….. 1/aare in A.P

Given, 6th term of HP is 8,

In A.P, a + 5d = 1/8                 ….. (1)

5th term of HP is 11,

In A.P, a + 4d = 1/11                     ….(2)

Solving equation (1) and (2) we get

RRB JE CBT 1 - Full Test 9 - Question 100

Detailed Solution for RRB JE CBT 1 - Full Test 9 - Question 100

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