RRB NTPC CBT 1 Question Paper (Held On: 4 Jan 2021 Shift 2) - RRB NTPC/ASM/CA/TA MCQ

Calculations :

Solve as per the above-given steps

⇒ 25 ÷ 10 - (7/12) × (6/5) + ( 14/3) × (9/10) - 5

⇒ (5/2) - (7/10) + (21/5) - 5

⇒ 67/10 - 7/10 - 5

⇒ 67/10 - 57/10

⇒ 10/10

⇒ 1

∴ The correct choice is option D.

Given:

Ram Kumar bought two LED TV sets for Rs. 41,000, selling one at a profit of 20% and the other at a loss of 15%

Calculations:

Let the cost price of items be Rs. ‘x’ and Rs '41000-x’

He got 20% profit on Rs x & 15% loss on Rs ‘41000 - x’

Selling price (at profit) = x + 20% of x = 120% of x

Selling price (at loss) = 41000 - x - 15% of 41000 - x = 85% (41000 - x)

According to the question

120% of x = 85% (41000 - x) (selling price are the same)

⇒ 120x = 85 × (41000 - x)

⇒ 24x = 17 × (41000 - x)

⇒ 41x = 17 × 41000

⇒ x = 17000 and 41000 - x = 24000

Total selling price = 120% of x + 85%(41000 - x)

⇒ 120% of 17000 + 85% of 24000

⇒ 20400 + 20400

⇒ 40800

So,

Loss = Cost Price - Selling Price

⇒ 41000 - 40800

⇒ 200 Rupees

∴ The correct choice is option A.

Given:

24 mango trees, 56 apple trees and 72 orange trees have to be planted in rows such that each row contains the same number of trees of one variety only.

Calculations:

There are 24 mangoes trees, 56 apple trees & 72 Orange trees.

To get the minimum number of rows, we need maximum trees in each row.

In each row, we need the same number of trees

So we need to calculate HCF

HCF of 24, 56 & 72

⇒ 24 = 2³ × 3

⇒ 56 = 2³ × 7

⇒ 72 = 2³ × 3²

HCF = 2³ = 8

Number of minimum rows = (24 + 56 + 72)/8 = 152/8

⇒ 19

∴ The correct choice will be option C.

The pattern followed here is:

According to the alphabetical positions of the letters,

Hence, ‘PI6O15N14M13’ is the correct answer.

Given:

The captain of a cricket team of 11 members is 35 years old and the wicket-keeper is 5 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is three years less than the average age of the whole team.

Concept used:

Average = Sum of all observation/No.of observations

Calculations:

Age of captain = 35

Age of wicketkeeper = 35 + 5 = 40

Let the average age of all players be x

When captain & wicketkeeper excluded average age is 'x – 3’ years

Age of whole team = 11 × x = 11x

Age of team when captain and wicket keeper excluded = 9(x- 3)

So,

⇒ 11x - (35 + 40) = 9(x - 3)

⇒ 11x = 9x - 27 + 75

⇒ 2x = 75 - 27

⇒ 2x = 48

⇒ x = 24

∴ The average age of whole team is 24 years.

Alternate MethodLet the average age be x

let the average age be 'x - 3' when captain and wicket keeper are exclude

Total age of team = 11 × x = 11x

According to the question

[11x - (35 + 40)]/9 = x - 3

⇒ 11x - 75 = 9x - 27

⇒ 2x = 48

⇒ x = 24

The correct answer is Indira point.

Key Points

• The Southernmost tip of Indian territory is Indira point.
• It comes under the Nicobar district and Great Nicobar Tehsil in Andaman and Nicobar Islands.
• The point was earlier known as Pygmalion Point and Parsons Point.
• This was renamed after Indira Gandhi visited the point in 1984.
• It was officially renamed in October 1985.
• There is a lighthouse situated there which was commissioned in 1972.
• In the 2004 Indian Ocean earthquake, this tip subsided 4.25 metres after the earthquake.
• Many of the inhabitants went missing in the tsunami that followed.

The correct answer is Indore.

Key Points

• Swachh Survekshan is an annual survey of cleanliness, hygiene, and sanitation in cities and towns across India. It was launched as part of the Swachh Bharat Abhiyan of India.
• It is conducted by the Ministry of Housing & Urban Affairs.
• The surveys are carried out by the Quality Council of India. The criteria and weightage for different components of sanitation-related aspects used for the survey were:
  • Municipal documentation (solid waste management including door-to-door collection, processing, and disposal, and open defecation free status
  • Citizen feedback
  • Independent observation
• Indore was the cleanest city of India (in category Cities >10 Lakh).
• Chhattisgarh won the title of the Cleanest State of India in the > 100 ULB category while Jharkhand was adjudged the Cleanest State of India in the <100 ULB category.

The correct answer is Sanskrit.

Key Points

• Pandita Ramabai Sarasvati
  • She was a Sanskrit scholar.
  • At the age of 12, she had memorized thousands of sacred verses from the Hindu sacred scriptures and gained exceptional knowledge of the Hindu language.
  • She was at the age of 16 during the Great Famine (1876–78).
  • She and her brother travelled across India reciting Sanskrit scriptures.
  • At the age of twenty, she became the first woman in India to earn the title of Pandita after an examination conducted by the faculty of the University of Calcutta.
  • She later founded the Arya Mahila Samaj, a society of high-caste Hindu women working for the education of girls and against child marriage.
  • She also testified before the Hunter Commission and suggested that teachers be trained, women school inspectors are appointed, and that Indian women should be admitted to medical colleges.

Given:

By selling a car for Rs. 1,20,000, David makes a profit of 20%.

Calculations:

Let the cost of car be x

Selling price = cost price + 20% of cost price

By selling a car for Rs. 1,20,000, David makes a profit of 20%

⇒ 120% of x = 120000

⇒ x = 100000

Selling price (at 30% profit) = 100000 + 30% of 100000

⇒ 130000

∴ The correct choice is option B

Alternate Method
Let the selling price at 30% profit be x rupees,

At 20% profit value becomes 120%, Similarly at 30% it becomes 130%

So,

120% : 130% = 120000 : x

⇒ x = 130000 rupees

Selling price at 30% profit will be Rs. 130000.

The correct answer is John Bardeen.

Key Points

• John Bardeen is the only person to be awarded the Nobel Prize in Physics twice.
• John Bardeen received the Nobel prize for physics in 1956 for amplifying electric signals proved decisive for telephony and radio.
• He received the Nobel prize for physics in 1972 for formulating a theory based on quantum mechanics.
• Please note that the 1956 nobel prize in physics was awarded jointly to William Bradford Shockley, John Bardeen and Walter Houser Brattain "for their researches on semiconductors and their discovery of the transistor effect."
• The 1972 nobel prize in physics was awarded jointly to John Bardeen, Leon Neil Cooper and John Robert Schrieffer "for their jointly developed theory of superconductivity, usually called the BCS-theory."

Given:

a + b + c = 14, ab + bc + ca = 47 and abc = 15

Concept used:

a³ + b³ + c³ - 3abc = (a + b + c) × [(a + b + c)² - 3(ab + bc + ca)]

Calculations:

a³ + b³ + c³ - 3abc = 14 × [(14)² - 3 × 47]

⇒ a³ + b³ + c³ – 3 × 15 = 14(196 – 141)

⇒ a³ + b³ + c³ = 14(55) + 45

⇒ 770 + 45

⇒ 815

∴ The correct choice is option A.

Given:

Anil lent Rs. 7,200 to Dubey for 3 years and Rs. 8,400 to Raghav for 4 years on simple interest at the same rate of interest and received Rs. 4,968 in total from them as interest

Formula used:

Interest = Principle × Rate × Time/100

Calculations:

Interest (on Rs. 7200) = (7200 × 3 × R)/100 = 216 R

Interest (on Rs. 8400) = (8400 × 4 × R)/100 = 336R

According to the question

⇒ 216 R + 336 R = 4968

⇒ 552 R = 4968

⇒ R = 9%

∴ The correct choice is option A.

Given:

20 men and 15 boys can do a piece of work in 10 days and 25 men and 10 boys can do it in 9 days.

Concept used

Work = Working capacity × total time

Calculations:

Let the working capacity of men be ‘m’

Let the working capacity of boys be ‘b’

According to the question

⇒ (20 m + 15 b) × 10 = (25 m + 10 b) × 9

⇒ 200 m + 150 b = 225 m + 90 b

⇒ 60 b = 25 m

⇒ 12 b = 5 m

⇒ b/m = 5/12

So,

⇒ m : b = 12 : 5

∴ The correct choice is option C.

Given:

x + x^-1 = 7

Formula used:

x³ + x^-3 = (x + x^-1)³ - 3(x + x^-1)

Calculations:

X³ + x^-3 = (7)³ - 3 × 7

⇒ 343 - 21

⇒ 322

∴ The correct choice is option D.

Given:

The radius of the sphere is 3 cm

Radius & height of cylinder are 4.5 cm & 32cm

Formula used:

The volume of sphere = 4/3πr³

The volume of cylinder = πr²h

Calculations:

The volume of sphere inserted = volume of water risen

Radius of sphere = 6/2= 3 cm

Radius of cylinder = 9/2 = 4.5

So,

(4/3)π × (3)³ × Number of sphere = π (4.5) × (4.5) × 32

⇒ Number of sphere = 18

∴ The correct choice is option B.

The correct answer is Socrates is a rationalist.

• Socrates was a Greek philosopher from Athens who is credited as a founder of Western philosophy and the first moral philosopher of the ethical tradition of thought.
• Socrates is not a rationalist. → False (As, all philosophers are rationalists and Socrates is a philosopher → Socrates is a rationalist)
• Socrates is a rationalist. → True (As, all philosophers are rationalists and Socrates is a philosopher → Socrates is a rationalist)
• All rationalists are philosophers. → False (As, all philosophers are rationalists → Some rationalists are philosophers)
• No philosophers are rationalists. → False (As, all philosophers are rationalists)
• Hence, ‘option B’ is the correct answer.

Given:

When the integer n is divided by 9, the remainder is 4

Calculations:

n = 9k + 4 (remainder is 4)

Now,

12n = 12(9k + 4)

⇒ 12n = 108k + 48

⇒ 12n = 108k + 45 + 3

⇒ 12n = 9(12k + 5) + 3

So, Remainder is 3

∴ The correct choice is option D.

The correct answer is Syed Ahmed Khan.

Key Points

• Syed Ahmed Khan founded the Muhammdan Anglo-Oriental college in 1875 which later became Aligarh Muslim University.
• He considered competence in English and "Western sciences" necessary skills for maintaining Muslims' political influence, especially in Northern India.
• Mahendra Pratap Singh gave land for the university.
• On 9th September 1920 the Mohammedan Anglo-Oriental College became the Aligarh Muslim University.
• Sultan Shah Jahan Begum was the first Chancellor of the University.
• The work of Syed Ahmed Khan gave rise to a new generation of Muslim intellectuals and politicians who composed the Aligarh movement to secure the political future of Muslims in India.
• He also was a jurist for the British East India Company.

The logic is:

Hence, ‘240’ is the correct answer.

Given:

All 5 subjects have equal number of students

Calculations:

Number of students in each subject = Total students/ Total subjects

Number of students in each subject = 120/5 = 24

Number of students in each language = Students of English + Students of Hindi = 24 + 24

⇒ 48

∴ The correct choice is option D.

Alternate Method

Each subject has 20% students (given)

Language subject are english and hindi

Students in hindi and english = 20% + 20% = 40%

Students in languages = 40% of 120

⇒ 48

The correct answer is Gujarat.

Key Points

• Buland Darwaza- "Door of victory" .
• The Buland Darwaza at Fatehpur Sikri was erected by Akbar to celebrate his conquest of Gujarat.
• It was built in 1575 A.D.
• It is the main entrance to the Jama Masjid at Fatehpur Sikri.
• It is made of red and buff sandstone and decorated by carving and inlaying of white and black marble.
• An inscription on the central face of the Buland Darwaza throws light on Akbar's religious tolerance and broadmindedness.
• It is semi-octagonal in plan and is topped by pillars and chhatris, echoing early Mughal design with simple ornamentation, carved verses from the Quran and towering arches.
• A Persian inscription on the eastern archway of the Buland Darwaza records Akbar's conquest over Deccan in 1601 A.D.

Given:

Driving his car at the speed of 30 km/h Vinod reaches his office 5 min late and at speed of 40 km/h, he reaches the office 3 min early.

Concept used:

Time = Distance/Speed

Calculations:

Let the time be ‘t’ minutes to reach office

Let the distance be D.

Time for 30km/h

⇒ (t + 5)/60 = D/30 ----(1) (1 minute = 1/60 hours)

Time for 40 km/h

⇒ (t – 3)/60 = D/40 ----(2)

Subtract equation (2) from (1)

⇒ [t + 5 - (t - 3)]/60 = D/30 - D/40

⇒ (D/30) - (D/40) = 8/60

⇒ (4D - 3D)/120 = 8/60

⇒ D/120 = 8/60

⇒ D = 16 km

∴ The correct choice is option A.

Shortcut Trick

Difference in time = Distance/Speed

⇒ [5 + (-3)]/60 = D/30 – D/40 (8 minutes = 8/60 in hours)

⇒ 8/60 = D/30 – D/40

⇒ D/120 = 8/60

∴ D = 16 km

The logic is:

Hospital : Health → We go to Hospital to get cure for Health related issue.

Similarly,

School : ? → We go to School to get Educated.

Hence, ‘Education’ is the correct answer.

Given:

Secθ = 5x & tanθ = 5/x

Concept used:

Sec²θ - tan²θ = 1

Calculations:

Secθ = 5x

Sec²θ = 25x²

Tanθ = 5/x

Tan²θ = 25/x²

Now,

10[x² - (1/x²)] = 10[(sec²θ/25) - (tan²θ/25)]

⇒ (10/25) [sec²θ - tan²θ]

⇒ 10/25

⇒ 2/5

∴ The correct choice will be option A.

Persons: A, B, C, D, and E.

I. A is taller than E but shorter than D.

D > A > E

II. B is shorter than C but taller than E.

C > B > E

III. D is taller than C and A is taller than B.

D > C and A > B

Option A: combining statements I and III:

D > A > E and D > C and A > B

D > _ > _ > _ > _

We will not get any result by combining the two statements.

Option B: combining statements I and II:

D > A > E and C > B > E

_ > _ > _ > _ > E

E is the shortest among all the five. So this is sufficient to answer.

Option C: combining statements I, II, and III:

D > C/A > A/C > B > E

Now, we can say that E is the shortest among A, B, C, D and E. Statements I, II, and III are sufficient.

Note: There is a discrepancy in the original question and marked options.

When statements 1 and 2 combinedly give the answer then obviously with the help of statement 3 we can also give the answer, but we need to choose the minimum statement required to give the answer.

Hence, Statements I and II together are sufficient is the correct answer.

The pattern followed here is:

In first figure, there is one straight line and one circle and a partition between them.

In second figure, one more circle is added in the figure and the partition between two circles and one straight line now shifts its position by rotating 45º clockwise.

In third figure, one straight line is added as compared to second figure, and the number of circles is same and the and the partition between them shifts its position by rotating 45º clockwise.

So, in the fourth figure, one more circle will be there and two lines and the partition will be a horizontal line, as shown in option 4.

The pattern that will one next in the given series, is shown below:

Hence, 'option D' is the correct answer.

The logic follows here is:

Square → Square is a quadrilateral.

Rhombus → Rhombus is a quadrilateral.

Rectangle → Rectangle is a quadrilateral.

Parallelogram → Parallelogram is a quadrilateral.

Quadrilateral is closest to the given shapes.

Hence, ‘Quadrilateral’ is the correct answer.

The least possible Venn diagram is:

1. No millionaires are celebrities. → False (As, all celebrities are millionaires given so some millionaires can be celebrities, it is definite)

2. All artists are millionaires. → False (As, some artists are celebrities and all celebrities are millionaires → some artists are millionaires)

3. No celebrities are millionaires. → False (As, all celebrities are millionaires so some celebrities are also millionaires)

4. Some artists are millionaires. → True (As, some artists are celebrities and all celebrities are millionaires so which part of the artists is celebrities will be also millionaires, hence, true)

Hence, ‘option D’ is the correct answer.

The number of triangles in the following figure is shown below:

Hence, ‘12’ is the correct answer.

The description is as follows:

Hence, ‘Steel’ is the odd one out.