RRB NTPC CBT 1 Question Paper (Held On: 4 Jan 2021 Shift 1) - RRB NTPC/ASM/CA/TA MCQ

The logic is:

Similarly,

Hence, ‘A hill is place shimla’ is the correct answer.

Given:

Difference between two numbers = 1540

Concept:

Dividend = Divisor × Quotient + Remainder

Calculation:

Let the smaller number be = a

⇒ Larger number = a + 1540

As per the question:

a + 1540 = a × 6 + 5

⇒ 5a = 1535

⇒ a = 307

∴ The smaller number = 307

Alternate Method By Hit & Trial Method

Option 1: 580 × 6 + 5 ≠ 580 + 1540

Option 2: 620 × 6 + 5 ≠ 620 + 1540

Option 3: 735 × 6 + 5 ≠ 735 + 1540

Option 4: 307 × 6 + 5 = 307 + 1540

Given:

√3n = 729

Formulas used:

(x^a)^b = x^ab

If x^a = x^b then a = b

Calculation:

√3n = 729

⇒ √3n = (3²)³

⇒ (3n)^1/2 = (32)3

⇒ (3n)1/2 = 3⁶

⇒ n/2 = 6

∴ n = 12

The correct answer is Tarapur.

Key Points

• Tarapur power plant was the first commercial nuclear power station built in India.
• It is located in Tarapur, Maharashtra.
• It was owned and operated by the state-run Nuclear Power Corporation of India.
• It was constructed initially with two boiling water reactor (BWR) units.
• It was constructed with the help of the United States.
• A contract between the governments of India and the United States was signed for the construction of the Tarapur nuclear power plant on 8 May 1964.
• France, China, and Russia are supplied uranium fuel to the Tarapur nuclear power plant.

Additional Information

• Madras Atomic Power Station (MAPS) located at Kalpakkam is India's first fully indigenously constructed nuclear power station.
• Kakrapar Atomic Power Station is a nuclear power station that lies in the proximity of Surat and Tapi river in the state of Gujarat.
• Kaiga Generating Station is a nuclear power generating station situated at Kaiga in Karnataka.

The correct answer is October 2005.

Key Points

• The Right to Information is a tool, which every person in India can use to find out information that can make their lives better.
• India initiated the enactment of the Right to Information Act in the year 2005.
• ​Right to Information Act 2005 mandates timely response to citizen requests for Government information.
• The Act was passed by the Indian Parliament on 12th May 2005.
• The Act received Presidential assent on 15th June 2005.
• The RTI Act came into force on 12th October 2005.

Important Points

• Mazdoor Kisan Shakti Sangathan is the organization that was instrumental in the passage of the RTI Act.
• Central and State Information commissions consist of a chief information commissioner and not more than 10 information commissioners.
• The first RTI application in India was submitted by Shahid Raza Burney.
• There are only 2 schedules in RTI Act 2005.
• The modified form of the RTI Act was passed in February 2011.
• The main object of the Right to Information Act is to empower the citizens, promote transparency and accountability in the working of the Government, contain corruption, and make our democracy work for the people in a real sense.
• Sweden is the first country to pass the Right to Information Act.

Given:

Length of carpet =  20 5/2m = 45/2 m

Length of small pieces of carpet = 4 1/2  m = 9/2 m

Formula used:

No of small pieces of carpet = Length of carpet/Length of 1 small piece of carpet

Calculation:

∴ No of small pieces of carpet that can be cut out = 45/2 ÷ 9/2

⇒ 45/2 × 2/9

⇒ 5

The correct answer is ductility.

Key Points

• Ductility is the ability of a material to be drawn or plastically deformed without fracture.
• It is the ability of metals to be drawn into thin wires.
• Gold is the most ductile metal.
• Ductility is a permanent strain that accompanied fracture in a tension test.
• The ductility of the metals increases as the temperature increases.

Additional Information

• The property of metals by which they can be beaten into thin sheets is called malleability.
• Solubility is the maximum amount of a substance that will dissolve in a given amount of solvent at a specified temperature.
• Reactivity is the ability of matter to combine chemically with other substances.

A. 9 + 5 - 16 × 4 ÷ 2 = 41

After replacing the symbols by their meaning, we get:

L.H.S = 9 × 5 + 16 ÷ 4 – 2

= 45 + 4 – 2

= 49 – 2

= 47 ≠ 41

B. 15 + 15 × 3 - 4 ÷ 5 = 26

After replacing the symbols by their meaning, we get:

L.H.S = 15 × 15 ÷ 3 + 4 – 5

= 75 + 4 – 5

= 79 – 5

= 74 ≠ 26

C. 10 - 12 ÷ 18 × 6 + 2 = 16

After replacing the symbols by their meaning, we get:

L.H.S = 10 + 12 - 18 ÷ 6 × 2

= 10 + 12 – 3 × 2

= 10 + 12 – 6

= 22 – 6

⇒ 16 = 16

D. 11 ÷ 8 × 2 - 4 + 1 = 41

After replacing the symbols by their meaning, we get:

L.H.S = 11 - 8 ÷ 2 + 4 × 1

= 11 – 4 + 4

= 11 ≠ 41

Hence, ‘10 - 12 ÷ 18 × 6 + 2 = 16’ is the correct answer.

Given:

The ratio between two numbers = 3 : 5

LCM of the two numbers = 120

Formula used:

Product of two numbers = LCM × HCF

Calculation:

Let the HCF of two numbers = y

Let the two numbers be 3y and 5y.

3y × 5y = 120 × y

⇒ 15y² = 120y

⇒ 15y = 120

⇒ y = 8

3y = 3 × 8 = 24

5y = 5 × 8 = 40

∴ The two numbers are 24, 40.

The correct answer is 10.

Key Points

• The United Nations Security Council is one of the principal organs of the United Nations.
• United Nations Security Council has 15 Members, and each Member has one vote.
• Among these 15 members, 5 are permanent members and 10 are non-permanent members.
• The General Assembly elects non-permanent members for two-year terms
• More than 50 United Nations Member States have never been members of the Security Council.

Important Points

• Non-permanent members:

1. Albania (2023)
2. Brazil (2023)
3. Gabon (2023)
4. Ghana (2023)
5. India (2022)
6. Ireland (2022)
7. Kenya (2022)
8. Mexico (2022)
9. Norway (2022)
10. United Arab Emirates (2023)

• Permanent members:
  1. China.
  2. France.
  3. Russia.
  4. The United Kingdom.
  5. The United States.

Additional Information

• The Security Council held its first session on 17 January 1946 at Church House, Westminster, London.
• Since its first meeting, the Security Council has taken permanent residence at the United Nations Headquarters in New York City.
• Originally, there were 11 members of the Security Council: 5 permanent and 6 non-permanent members.
• The General Assembly recommended an amendment to the Charter to increase the membership of the Security Council In 1963.

Important Points

• India's term as a non-permanent member began in January 2021 and will end in 2022.
• India will be eligible to run for a non-permanent seat again in 2028–2029

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

P × Q - S → P is son of Q and Q is wife of S

Clearly, S is the father of P.

Hence, ‘S is the father of P’ is the correct answer.

Given:

Sum of two numbers = 16

Product of two numbers = 63

Calculation:

Let the numbers be = a, b

a + b = 16

ab = 63

∴ Sum of the reciprocal of a and b = 1/a + 1/b

⇒ (b + a)/ab

⇒ 16/63

The logic is:

Letters are written from right end to left end.

INTERNET → TENRETNI

Similarly,

REMEMBER → REBMEMER

Hence, ‘REBMEMER’ is the correct answer.

Alternate MethodThe logic follows here is:

Similarly,

Hence, ‘REBMEMER’ is the correct answer.

Given:

Statement 1: Banana price is more than that of lychee.

Banana > Lychee

Statement 2: Banana price is less than that of kiwi.

Kiwi > Banana

Statement 3. Kiwi Price is more than that of banana and lychee.

Kiwi > Banana and Kiwi > Lychee

From 1 and 2:

Kiwi > Banana > Lychee

∵ Kiwi Price is more than that of banana and lychee is true.

∴ The third statement is true.

Hence, the correct answer is "True".

The correct answer is 2003.

Key Points

• The Pradhan Mantri Swasthya Suraksha Yojana (PMSSY) is a national government scheme that attempts to address inequities in the availability of affordable healthcare facilities across the country.
• The scheme was first launched in the year 2003.
• The scheme was approved in March 2006.
• The first phase in the PMSSY consists of two components:

1. Setting up of six institutions in the line of AIIMS.
   • Bihar (Patna).
   • Chattisgarh (Raipur).
   • Madhya Pradesh (Bhopal).
   • Orissa (Bhubaneswar).
   • Rajasthan (Jodhpur).
   • Uttaranchal (Rishikesh)
2. Upgradation of 13 existing Government medical college institutions.

• Ministry of Health and Family Welfare is the nodal agency of Pradhan Mantri Swasthya Suraksha Yojana.

The correct answer is Alt + D.

Key Points

• A ledger is the actual account head to identify your transactions and are used in all accounting vouchers.
• Alt + D is the keyboard command used to delete the ledger created in tally.
  • Go to Gateway of Tally > Accounts Info. > Ledgers > Alter > Press Alt+D .
• Users can delete any ledger in Tally if the balance does not exist in that particular ledger.

Additional Information

• Alt+C is the short key to access Auto Value Calculator in the amount field during voucher entry.
• Ctrl+C is the short key to create Cost Center from the Ledger creation screen.
• Ctrl+B is the short key to create a Budget from the Ledger creation screen.
• Ctrl+G is the short key to create an account Group from the Ledger creation screen.

The correct answer is 1556 AD.

Key Points

• Akbar was the third Mughal emperor.
• He became the emperor of the Mughal dynasty in 1556 AD.
• He ruled the Indian subcontinent between 1556 and 1605.
• Din-i-Ilahi was a religion introduced by Akbar in 1582.
• During Akbar's rule, the second battle of Panipat took place in 1556.
  • It was fought between Samrat Hem Chandra Vikramaditya(Hemu) and Akbar's army.
  • Under the leadership of Bairam Khan, the Mughals won the fight decisively.
  • The conflict put an end to the Mughal-Afghan dispute for Delhi's monarchy.
  • In 1560, Akbar ended Bairam Khan's regency and, at the age of 18, took over the throne of India.

Additional Information

• The historical structures built during the reign of Akbar are:
  • Agra Fort.
  • Lahore Fort.
  • Fathepur Sikri.
  • Allahabad Fort.
  • Buland Darwaza.

Hockey players who play football is shown below:

Number of hockey players who play football = 22 + 19 = 41

Hence, ‘41’ is the correct answer.

Mistake Points

i) In the question, it is mentioned that Hockey players who play football but it is not mentioned that we do not have to include players who play cricket. So unless mentioned we have to consider all the categories.

ii) Here the word "only" is not used. If only words have used in the question then the answer would have been 22 but as and is used answer will be 41.

Given:

No of days taken by Harish and Bimal = 20

Formula used:

No of days taken = Work/Efficiency

Calculation:

Let the total work be = 1

One day work done by Harish and Bimal = 1/20

Work done by Harish and Bimal in 15 days = 1/20 × 15 = 3/4

⇒ Remaining work = 1 - 3/4 = 1/4

Harish did remaining work in 10 days alone.

⇒ One day work done by Harish = 1/4 ÷ 10 = 1/40

∴ Time taken by Harish to do the entire task alone = 1 ÷ 1/40 = 40 days

Shortcut TrickFraction of work done by Harish & Bimal in 15 days = 15/20 = 3/4

The remaining 1/4th (25%) of work was done by Harish in 10 days.

∴ The 100% work would be done by Harish in (10 × 4) 40 days.

Persons - A, B, C, D, and E are sitting in a line.

1. C is sitting at the west end and E is the neighbour of B and C.

2. Between A and C there are two persons.

Clearly, D is sitting at the east end.

Hence, ‘D’ is the correct answer.

The correct answer is 1924.

Key Points

• Hindustan Republican Association was a revolutionary organization formed in 1924.
• It was formed by Ram Prasad Bismil and Sachindra Nath Sanyal.
• The main leaders of the Hindustan Republican Association are Chandra Shekar Azad, Ram Prasad Bismil, Ashfaq Ullah Khan, Thakur Roshan Singh, Roshan Singh, and Rajendra Lahiri.
• The constitution for the Hindustan Republican Association was drafted in 1923 at Allahabad.
• It was the first revolutionary movement at the national level against the British.
• Kakori conspiracy is associated with the Hindustan Republican Association.
  • The British captured the leaders of the Hindustan Republican Association for involvement in the Kakori Conspiracy.
  • Ram Prasad Bismil, Ashfaq Ullah Khan, Roshan Singh, and Rajendra Lahiri were hanged in 1927.
  • Chandra Shekar Azad shot himself on 27th February 1931.
• Hindustan Republican Association was later renamed as Hindustan Socialist Republican Association.

The logic is:

Hence, ‘30, 42’ is the correct answer.

Assumptions:

I. Most of causes of death among wealthy persons are due to diabetes. → The assumption is not implicit in the statement.

The statement only suggests that a wealthy person has a higher chance of having diabetes but it does not implies that most of causes of death among wealthy persons are due to diabetes.

II. Poor persons do not have diabetes. → The assumption is not implicit in the statement.

The statement mentions nothing about poor people.

Hence, neither assumption (I) nor (II) is implicit.

Additional Information

1. Read the statement with an approach that the assumptions would be true with regard to the statement.
2. Do not go too logical with the statements. Analyze the given information and the assumption must only be made based on the information in the statement. Do not over-complicate it.
3. Common assumptions can always be followed but other than that do not align the statement with General Knowledge or other facts
4. Use the elimination method if you are unable to apprehend the answer. Read the statement and then the assumptions given in the options, you shall notice that a few of them will most definitely not follow. Eliminate them and then choosing from lesser options may prove to be more convenient
5. One thing to make a note of is that the assumption is something that the author believes to be true so while choosing the correct option, keep this thought in mind as well. If any option contradicts the statement, then that assumption will not follow.

1. Aman is older than Sahu.

Aman > Sahu

2. Sahu is younger than Komal but older than Millan.

Komal > Sahu > Millan

3. Komal is older than Aman but younger than Uday.

Uday > Komal > Aman

Combining all the three statements, we get:

Uday > Komal > Aman > Sahu > Millan

Clearly, Aman is the third oldest among them.

Hence, ‘Aman’ is the correct answer.

Given:

Perimeters of two similar triangles ΔPQR and ΔXYZ are 48 cm and 24 cm respectively.

XY = 12 cm

Concept:

When two triangles are similar to each other, the ratio of their corresponding sides is equal to the ratio of their respective other sides, medians, and perimeters.

⇒ Perimeter of ΔPQR/Perimeter of ΔXYZ = PQ/XY

Calculation:

48/24 = PQ/12

⇒ PQ/12 = 2

⇒ PQ = 24 m

∴ The length of side PQ = 24 cm

The correct answer is agricultural sector.

Key Points

• The First Five Year Plan in India was active between 1951 and 1956.
• The plan was based on the Harrod-Domar model.
• This plan gave priority to the agricultural sector of the country.
• The First Five Year Plan was presented before the parliament by Jawaharlal Nehru.
• Gulzarilal Nanda was the first Deputy Chairman of the Planning Commission of India.
• Economist K N Raj is known as the architect of this plan.
• It was quasi-successful for the government.
• The target growth rate of the First Five Year Plan was 2.1% annual gross domestic product (GDP) growth.

Additional Information

• The second Five Year Plan gave priority to the Industrial development of the country.

Given:

tan θ + cot θ = 5

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

tan θ + cot θ = 5

Squaring both sides

⇒ tan²θ + cot2θ + 2 tanθ cotθ = 25

⇒ tan2θ + cot2θ = 25 - 2

⇒ tan2θ + cot2θ = 23

tan2 θ + cot2 θ + 2 tan2 60°

⇒ 23 + 2 × (√3)²

⇒ 23 + 2 × 3

⇒ 29

∴ The required result = 29

Given:

Angle of elevation = 45°

Distance of the bottom of the pole from a point = 20m

Calculation:

In triangle ABC, AB/BC = tan45°

⇒ h/20 = 1

∴ The height of the pole = h = 20 m

Shortcut Trick 

The least possible Venn diagram is:

Conclusions:

I. Some women are engineers. → True (As, Some women are wise and All wise are engineers → some women are engineers)

II. All engineers are wise. → False (As, All wise are engineers → some engineers are wise)

Hence, only conclusion (I) follows.

The logic is:

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

7³ = 343

Hence, ‘343’ is the correct answer.