RRB NTPC CBT 1 Question Paper (Held On: 29 Dec 2020 Shift 2) - RRB NTPC/ASM/CA/TA MCQ

The correct answer is 2.
Key Points

• The pH scale is a logarithmic scale used to specify the acidity or basicity (alkalinity) of an aqueous solution.
• A solution that has a pH of 0 is very acidic with a high concentration of hydrogen ions and a pH of 7 is a neutral solution with equal concentrations of hydrogen ions and their basic counterpart hydroxy ions.
• pH 14 represents a high concentration of hydroxy ions and any solution with pH value 14 is basic in nature.
• Numerically, the pH equals the negative logarithmic value of the concentration of hydrogen ion (H+).
• Substances having a value of pH ranging 0 to 7 on pH scale are termed as acidic and for the value of pH ranging 7 to 14 on pH scale are known as basic solutions.
• The pH values of the most common aqueous solutions are given below-

​Hint

• Even if you do not know the correct pH of lemon juice, just remember that lemon juice is highly acidic.
• Out of the given options, the first option seems to fall under the highly acidic category.

Given:

Time taken by A to fill a tank = 15 hours

Time taken by B to fill a tank = 12 hours

Time taken by C to fill a tank = 18 hours

Formula used:

Total time = Volume/Volume filled in 1 hour

Calculation:

LCM of 15, 12, and 18 is 180

Efficiency of A = 180/15 = 12 units

Efficiency of B = 180/12 = 15 units

Efficiency of C = 180/18 = 10 units

According to question

A and C are opened simultaneously into the empty tank

⇒ [180/(12 + 10)]

⇒ 180/22 = 90/11

⇒​

∴ Time taken to fill the tank is

LCM of 15, 18 = 90 units = Total work

​​​​Efficiency of A = 90/15 = 6 units

Efficiency of C = 90/18 = 5 units

Total efficiency of A and C = (6 + 5) units

⇒ 11

Time taken by A and C = 90/11 hours

∴ Time taken to fill the tank is

The correct answer is Tapti.

Key Points

• The Tapti river drains into the Arabian sea.
• Tapti and Narmada are the only Indian rivers that drain into the Arabian sea.

The correct answer is Brahmos.

Key Points

• BrahMos is a supersonic cruise missile developed by BrahMos Aerospace, a joint venture between the Defence Research and Development Organisation (DRDO) of India and NPO Mashinostroeyenia (NPOM) of Russia.
• The BrahMos has a range of between 300-500 km depending on which variant and launch platform is used.
• The missile is powered by a solid propellant boost motor with a liquid-fueled ramjet sustainer motor.
• Various versions of the BrahMos, including those which can be fired from land, warships, submarines and Sukhoi-30 fighter jets have already been developed and successfully tested in the past.

Additional Information

• Akash is a surface-to-air missile developed by Defence Research and Development Organisation. It is developed to protect vulnerable areas and vulnerable points from air attacks.
• Prithvi is a tactical surface-to-surface short-range ballistic missile (SRBM) developed by Defence Research and Development Organisation.
• Trishul is a short-range surface-to-air missile developed by the Defence Research and Development Organisation as a part of the Integrated Guided Missile Development Program

Given:

Total amount of solution = 10 litres

Concentration of salt = 6%

Amount of water evaporated = 2 litres

Formula used:

Solution = solute + solvent

% of solute = (solute/solution) × 100

Calculation:

Remaining amount of solution = (10 – 2) litres

⇒ 8 litres

Amount of salt = (6/100) × 8

⇒ 48/100

⇒ 0.48 litres

Required percentage =Amount of salt/Total amount of solution × 100

⇒ 0.48/10 × 100

⇒ 4.8%

∴ The required percentage is 4.8%

The correct answer is Diverging lens.
Concept

• Human eye: The organ due to which we can see the world is called the human eye.
• It consists of a convex lens/converging lens and the image by the human eye lens forms at the retina.

Explanation
Myopia:

• A normal human eye can see any object from 25 cm to infinity.
• In myopia, the person cannot see far objects. The far point is less than infinity.
• Myopia can be caused by a longer-than-normal eyeball or by any condition that prevents light rays from focusing on the retina.
• This is corrected by a suitable concave lens.
• The concave lens (diverging lenses) diverges the ray of light such that the image of the far object can be formed on the retina.

​

Important Points

The correct answer is 1.
Key Points

• Resistance: The property of any conductor that opposes the flow of electric current through it is called resistance.
  • It is denoted by R and the SI unit is the ohm (Ω).
  • Superconductors are said to have zero resistance.
  • One can control Voltage and Current by altering the resistance of the circuit.
• The resistance (R) is given by:
  R = ρL/A
  where ρ is resistivity, L is the length and A is the area of the cross-section.
• Please note that the resistors are connected in series. Hence, the current flowing would be the same in all the resistors.
• The total and maximum resistance when resistors are connected in series is the sum of resistances= 1/4Ω + 1/4Ω + 1/4Ω + 1/4Ω = 1Ω

The correct answer is Goods and Services Tax.

Key Points

• In order to implement GST, the Constitutional (122nd Amendment) Bill (CAB for short) was introduced in the Parliament and passed by Rajya Sabha on 03rd August 2016 and Lok Sabha on 08th August 2016.
• The Goods and Services Tax (GST) is a uniform indirect tax levied on goods and services across India.
• It has replaced central taxes like central excise, service tax, additional duties of excise & customs, special additional duties of customs, besides cesses and surcharges, on supply of goods and services.
• The Objectives Of GST-
  • To achieve the ideology of ‘One Nation, One Tax’
  • To subsume a majority of the indirect taxes in India
  • To eliminate the cascading effect of taxes
  • To curb tax evasion
  • To increase the taxpayer base
  • Online procedures for ease of doing business
  • To promote competitive pricing and increase consumption
• There are three taxes applicable under this system:
  • CGST
  • SGST
  • IGST
• CGST: It is the tax collected by the Central Government on an intra-state sale
• SGST: It is the tax collected by the State government on an intra-state sale
• IGST: It is the tax collected by the Central Government for an inter-state sale

Four silver articles - P, Q, R and S, each having a different weight.

Let the weights of S = x

1) R weighs half as much as S.

Therefore, the weight of R = 0.5x

2) Q weighs two and a half times as much as S.

Therefore the weight of Q = 2.5x

3) P weights trice as much as Q.

Therefore the weight of P = 3 × 2.5x = 7.5x

Arrangement from heaviest to lowest:

P (7.5x) > Q (2.5x) > S (x) > R (0.5x)

Clearly, R is the silver article which is the lightest in weight.

Hence, ‘R’ is the correct answer.

The correct answer is Belgaum.

Key Points

• Gandhiji became the president of the Indian National Congress in 1924 at the Belgaum session of the Indian National Congress.
• Indian National Congress was the first modern nationalist movement to emerge in the British Empire in Asia and Africa.
• From the late 19th century and especially after 1920, under the leadership of Mahatma Gandhi, Congress became the principal leader of the Indian independence movement.
• The Indian National Congress was founded in Bombay in December 1885.
  • It was Founded By A.O. Hume, a retired British officer.
• The Session began with " Vande Maatram " sung by Paluskar.
  • National Song ‘Vande Mataram’ sung for the first time by Rabindranath Tagore.

​ Additional Information

• The first Session by presided by W.C. Bannerjee in December 1885 at Bombay.
• The Second Session by presided by Dadabhai Naoroji was held at Calcutta in 1886.
• Mahatma Gandhi presided over the 39th Session in 1924 In Belgaum, Karnataka.
• 1925: Kanpur. President: Sarojini Naidu, First Indian Woman President.
• 1927: Madras. President: Dr. M.A. Ansari.
• 1931: Karachi. President: Vallabhbhai Patel.
• The early leadership – Dadabhai Naoroji, Pherozeshah Mehta, Badruddin Tyabji, W.C. Bonnerji, Surendranath Banerji, Romesh Chandra Dutt, S. Subramania Iyer, among others was largely from Bombay and Calcutta.
• The formation of the Indian National Congress was an effort in the direction of promoting the process of nation-building.

Calculation:

1/0.24 of 1.44

⇒ 1/0.24 × 1.44

⇒ 1 × 6

⇒ 6

∴ The value is 6

The correct answer is Buddhism.
Key Points

• The Jataka tales depict stories related to the Gautama Buddha in both human and animal forms.
• The Jataka is a collection of stories about the previous birth life of Gautam Buddha.
  • The future Buddha may appear as a king, an outcast, a god, an elephant but, in whatever form, he exhibits some virtue that the tale thereby inculcates.
• The literary text called the Jataka contains more than 500 tales and constitutes the tenth book of the fifteen texts written in the ancient Indic language of Pali.
• Buddhism :
  • It is one of the world's largest religions and originated 2,500 years ago in India.
    • It is an Indian religion based on a series of original teachings attributed to the Gautama Buddha.
• These stories were written in Pali and Sanskrit languages.

Additional Information
Sikhism:

• Sikhism is an Indian religion that originated in the Punjab region of the Indian subcontinent around the end of the 15th century CE.
• The purpose of Sikhism is to meditate on the name of God and to explore the wonder of the earth in communion with all people.

Jainism:

• Jainism traditionally known as Jain Dharma is an ancient Indian religion.
• It is centered on the life and teachings of Mahavira.
• The three guiding principles of Jainism, the 'three jewels', are right belief, right knowledge, and right conduct.

Hinduism :

• It is an Indian religion and dharma or way of life.
• It is the world's third-largest religion, with over 1.2 billion followers.
• It is the most widely professed faith in India, Nepal, and Mauritius.

Assumptions:

I. P advises everybody. → The assumption is not implicit in the statement as the statement states that P advises to Q, but the statement does not mentions whether P advises to everybody or not.

II. Q wishes to go to Mumbai. → The assumption is implicit in the statement as the statement indirectly suggests it. P suggests Q the best route to go to Mumbai, which implies Q wishes to go to Mumbai.

Hence, only assumption II is implicit.

The correct answer is 104 satellites in a single flight.
Key Points

• ISRO created history by launching 104 satellites in a single flight in Feb 2017.
• Indian Space Research Organisation's workhorse rocket PSLV launching 104 satellites in a single mission from the space center at Sriharikota, Andhra Pradesh.
• Polar Satellite Launch Vehicle or PSLV, in its 39th flight (PSLV-C37), launched the 714 kg Cartosat-2 series satellite for earth observation along with 103 co-passenger satellites, together weighing about 664 kg at liftoff.
• ISRO the co-passenger satellites comprise 101 nano-satellites, one each from Israel, Kazakhstan, the Netherlands, Switzerland, United Arab Emirates (UAE), and 96 from the United States of America (USA), as well as two from India.
• The two Indian nano-satellites are ISRO's INS-1A and INS-1B.

Additional Information

• Initially, the planned mission was to launch 83 satellites in one go in the last week of January, which would have been a record.
• ISRO scientists then added 20 more satellites to the launch, rescheduling the launch date to the first week of February.
• ISRO was formed in 1969 with a vision to develop and harness space technology in national development while pursuing planetary exploration and space science research.
  • ISRO is the space agency under the Department of Space of Government of India, headquartered in the city of Bengaluru, Karnataka.
  • Its vision is to harness space technology for national development while pursuing space science research and planetary exploration.
  • Antrix Corporation Limited (ACL) is a Marketing arm of ISRO for the promotion and commercial exploitation of space products, technical consultancy services, and transfer of technologies developed by ISRO.
• ISRO replaced its predecessor, INCOSPAR (Indian National Committee for Space Research), established in 1962 by India's first Prime Minister.
• PSLV full Form - Polar Satellite Launch Vehicle

Given:

Radius of circle = 10 cm

Length of XY = 12 cm

Length of PQ = 16 cm

Formula used:

AC² = AB² + BC²

where, AB, BC - Sides of right - angled triangle, AC - Hypotenuse of right - angled triangle

Calculation:

Let O be the centre of circle

In ΔOAP,

OP² = OA² + AP²

⇒ (10)² = OA² + (8)²

⇒ 100 = OA² + 64

⇒ OA² = 36

⇒ OA = 6 cm

Similarly, in ΔOBX,

OX² = OB² + XB²

⇒ (10)² = OB² + (6)²

⇒ 100 = OB² + 36

⇒ OB² = 64

⇒ OB = 8 cm

Now,

Distance between both chords = OA + OB = (8 + 6) = 14 cm

∴ The distance between the chords is 14 cm

Given:

No of matches won by the player = 5

No of matches lost by the player = 12

No of matches become draw (neither won nor lost) = 3

∴ Total no of matches played = 5 + 12 + 3 = 20

Formula used:

Fraction = Required part ÷ Whole part

Calculation:

∴ Fraction of the matches lost by the player = 12/20 = 3/5

Given:

Mixture of acid and alcohol in the ratio = 3 : 2

Alcohol adding in the mixture = 10 litres

After adding water the ratio of mixture = 3 : 5

Calculation:

Let acid and alcohol in the mixture be 3x and 2x respectively

According to question

⇒ 3x/(2x + 10) = 3/5

⇒ 15x = 6x + 30

⇒ 9x = 30

⇒ x = 10/3

The quantity of acid in the mixture = 10/3 × 3

⇒ 10

∴ The quantity of acid in the original solution is 10.

The least possible Venn diagram is:

Conclusions:
I. Some Cats are Animals. → True (As, All Lions are Cats)
II. All Lions are Animals. → False (As, there is no definite relation between Lions and Animals. Hence, false)
Hence, only conclusion I follows.

The least possible Venn diagram is:

Conclusions:
1. Some plumbers are cooks. → False (As, there is no definite relation between plumbers and cooks. Hence, false)
2. Some plumbers are not cooks. → False (As, there is no definite relation between plumbers and cooks. Hence, false)
3. Some men are not cooks. → True (As, Some men are electricians and No electrician is a cook → Some men who are electricians are not cooks)
Hence, only conclusion 3 follows.
Confusion Points
1. When There is no relation given between the two elements, in that case, we cannot define their relation so here between a plumber and cook we cannot define relation so it will not follow here.

Given:

Principal = Rs. 25000

Amount = Rs. 36000

Time = 2 years

Formula used:

(1 + R/100)^t

Calculation:

Let the compound interest rate be R%

⇒ 36000 = 25000(1 + R/100)²

⇒ 36000/25000 = (1 + R/100)²

⇒ 36/25 = (1 + R/100)²

taking square both sides

⇒ √36/25 = (1 + R/100)

⇒ 6/5 = 1 + R/100

⇒ 6/5 – 1 = R/100

⇒ 1/5 = R/100

⇒ R = 20

∴ Rate of interest is 20%

The correct answer is Colombia.

Key Points

• Colombia will host World Environment Day 2020 and focuses on the theme of biodiversity.
  • It will be done in partnership with Germany.
  • The theme of World Environment Day 2020 is Biodiversity.
• World Environment Day is the United Nations’ principal vehicle for encouraging worldwide awareness and action for the environment.
• World Environment Day is a powerful platform to accelerate, amplify and engage people, communities, and governments around the world to take action on critical environmental challenges facing the planet
• Major corporations, non-governmental organizations, communities, governments, and celebrities from across the world adopt the World Environment Day brand to champion environmental causes.
• World Environment Day takes place every year on 5 June.
• It is the United Nations’ flagship day for promoting worldwide awareness and action for the environment.

Additional Information

• ​UNEP is the leading global voice on the environment.
• It provides leadership and encourages partnership in caring for the environment by inspiring, informing, and enabling nations and peoples to improve their quality of life without compromising that of future generations.
• United Nations Environment Programme (UNEP) at the helm, over 150 countries participate each year.
• World Environment Day was celebrated for the first time in 1974 under the “Only One Earth” slogan.
• Pakistan will host the World Environment Day 2021 event.
  • The theme of World Environment Day 2021 is " Ecosystem Restoration".
• UN Environment Day was celebrated at the headquarters in Nairobi, Kenya, by presenting the first of its Global 500 awards to environmental champions including Wangari Maathai in 1987.
• Through 2003, the awards become the backbone of World Environment Day celebrations.

Given:

Principal = Rs. 5000

Rate = 10%

Interest = Rs. 1500

Formula used:

SI = (P × R × T)/100

where, p is principal

R is rate

T is time

Calculation:

SI = (P × R × T)/100

⇒ 1500 = (5000 × 10 × T)/100

⇒ 1500 = 500T

⇒ T = 3 years

∴ Required time is 3

Given:

PO and OQ are the radii of the circumference of ΔAPQ

∠PAQ = 38°

Concept used:

The angle made at the center is twice the angle made at the circumference on the same arc of a circle

The angle opposite to the equal side is equal

The sum of all the three angles of a triangle is 180°

Calculation:

∠POQ = 2 × ∠PAQ

⇒ 2 × 38°

⇒ 76°

Now,

PO and OQ are the radii of the ΔPOQ

PO = OQ therefore, ∠PQO = ∠QPO

In ΔPOQ

∠POQ + ∠PQO + ∠PQO = 180°

⇒ 76° + 2∠PQO = 180°

⇒ 2∠PQO = 104°

⇒ ∠PQO = 52°

∴ The value of ∠PQO is 52°

Given:

a + b = 8 and a² + b² = 12

Calculation:

(a + b)² = a² + b² + 2ab

⇒ (8)² = 12 + 2ab

⇒ 2ab = 64 – 12

⇒ ab = 26

Now,

a³ + b³ = (a + b) (a² + b² – ab)

⇒ a³ + b³ = 8 × (12 – 26)

⇒ a³ + b³ = 8 × (-14)

⇒ a³ + b³ = -112

∴ The value of a³ + b³ is -112

The correct answer is Dr.Ramesh Pokhriyal C‘Nishank’.
Key Points

• The Ministry of Education was created on September 26, 1985, through the 174th amendment to the Government of India Rules, 1961.
  • The Ministry of Education (MoE), formerly the Ministry of Human Resource Development (1985–2020) is a Ministry of Government of India responsible for the implementation of the National Policy on Education.
  • Currently, the MoE works through two departments:
    • Department of School Education & Literacy
    • Department of Higher Education
• Ramesh Pokhriyal :
  • The BJP candidate was appointed as the minister of education in Narendra Modi’s ministry serving his term from May 2019 to July 2021.
  • He resigned in July 2021 reportedly having given health reasons.
  • He was the 5th Chief Minister of Uttarakhand from 2009 to 2011.
    • He was a member of the 16th Lok Sabha and chairperson, Committee on Government Assurances.
  • His literary contributions won him the Vatayan Lifetime Achievement Award.

Additional Information

• ​Mahendra Nath Pandey :
  • Shri Mahendra Nath Pandey is an Indian politician and currently serving as Union Minister of Heavy Industries.
  • Dr. Pandey was earlier the Union Minister for Skill Development and Entrepreneurship.
  • He has also served as the Minister of State in the Human Resource Development Ministry from 5 July 2016 to 2nd September 2017.
  • He is a member of the Bharatiya Janata Party and is the president of the party's Uttar Pradesh unit.
• Smriti Irani :
  • Smriti Zubin Irani is an Indian politician and a former television actress and producer.
  • She is the Minister of Women and Child Development in the Union Cabinet of India since May 2019.
  • She is a Member of Parliament in the Lok Sabha, representing Amethi.
  • Some of her contributions to the education sector during her ministerial term include The Global Initiative of Academic Networks (GIAN), the inception of the National Institute Ranking Framework (NIRF), and the Udaan Yojna and Pragati Scheme addressing low enrolment of girls in engineering colleges.
• Prakash Javadekar :
  • Prakash Keshav Javadekar is an Indian politician and served as the minister of HRD under Narendra Modi’s ministry.
  • He is a member of the Bharatiya Janata Party (BJP) who previously served as the Minister of Environment, Forest and Climate Change, Minister of Information and Broadcasting, and Minister of Heavy Industries and Public Enterprises between 2014 to 2021.
  • Javadekar was elected to the upper house Rajya Sabha as a Member of Parliament from Maharashtra in 2008 and re-elected from Madhya Pradesh in 2014.

Important Points
The current education minister is Dharmendra Pradhan, a member of the Council of Ministers.

The correct answer is The President of Brazil.

Key Points

• Brazil President Jair Bolsonaro was the chief guest at the Republic Day celebrations of India in 2020.
• PM Modi invited him to be the chief guest at the Republic Day in 2020 During his meeting with Bolsonaro on the sidelines of the 11th BRICS Summit held in Brasilia.
• Bolsonaro arrived in India on a four-day visit beginning on Friday with an aim to “re-energize” the bilateral strategic partnership by boosting trade and investment, and deepening cooperation in key sectors such as agriculture, defense, and energy.
  • He was the chief guest at the 71st Republic Day celebrations.
  • He watched the parade at Rajpath along with President Ram Nath Kovind, Prime Minister Narendra Modi, and other leaders.

Additional Information

• India celebrated its 72nd Republic Day on January 26, 2021.
• The Prime Minister wore a special 'Paghdi' from Jamnagar on the occasion of Republic Day.
  • The first such 'Paghdi' was gifted to the PM by the royal family of Jamnagar, Gujarat.
• 21 Gun Salute presented by Ceremonial Battery of 223 Field Regiment following the unfurling of the national flag.
• Flt Lt Bhawna Kanth, one of the first three female fighter pilots of the country, is part of the Indian Air Force tableau at the Republic Day parade.
• The 122-member contingent of the Bangladesh Armed Forces also took part in India's Republic Day Parade.
  • The contingent comprised soldiers of the Bangladesh Army, sailors of the Bangladesh Navy, and Air Warriors of the Bangladesh Air Force.

The logic is:

1³ + 3 = 1 + 3 = 4

2³ + 3 = 8 + 3 = 11

3³ + 3 = 27 + 3 = 30

4³ + 3 = 64 + 3 = 67

5³ + 3 = 125 + 3 = 128

6³ + 3 = 216 + 3 = 219

Hence, ‘219’ is the correct answer.

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

Clearly, the woman in the photograph is aunt of the person.

Hence, ‘aunt’ is the correct answer.

1. P is taller than T

P > T

2. Q is taller than S

Q > S

3. U is taller than R

U > R

4. S is taller than P

S > P

5. T is taller than U.

T > U

From all the statements, we get:

Q > S > P > T > U > R

Clearly, R is the shortest among them.

Hence, ‘R’ is the correct answer.

In a class of 50 students, Aryan ranks 17^th from the top.

Aryan's rank from the bottom = 50 - 17 + 1 = 51 - 17 = 34

Hence, ‘34^th’ is the correct answer.