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RRB NTPC Mock Test - 7 (English)


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RRB NTPC Mock Test - 7 (English) for Railways 2022 is part of RRB NTPC Mock Tests Series preparation. The RRB NTPC Mock Test - 7 (English) questions and answers have been prepared according to the Railways exam syllabus.The RRB NTPC Mock Test - 7 (English) MCQs are made for Railways 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB NTPC Mock Test - 7 (English) below.
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RRB NTPC Mock Test - 7 (English) - Question 1

1 kilowatt hour = ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 1

The unit of electric power 1 Watt is a very small unit, hence 1000 Watt or 1 kW is used as a unit to measure electric power in practice.

1kWh =1 kilowatt hour = 1000 W × 3600 s
= 3.6 × 106 Ws

= 3.6 x 106 J

RRB NTPC Mock Test - 7 (English) - Question 2

What is general formula for members of Olefin compounds?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 2

The alkene is also called as Olefin. They are compounds of an unsaturated aliphatic hydrocarbon. Example: Ethylene (C2H4)

RRB NTPC Mock Test - 7 (English) - Question 3

Natural gas is mainly made of ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 3

RRB NTPC Mock Test - 7 (English) - Question 4

Choose the odd one out from the given alternatives.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 4

All except Milky way are stars in the sky, whereas Milky way is a Galaxy in the Solar system.

Thus, Milky way is the answer

RRB NTPC Mock Test - 7 (English) - Question 5

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 5

14 × 2 = 28

16 × 2 = 32

18 × 2 = 36

12 × 2 = 24 ≠ 34

Hence “12 – 34” is odd one from the given options.

RRB NTPC Mock Test - 7 (English) - Question 6

In the following question, select the related number from the given alternatives.
AKP : 1121256 :: LNO : ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 6


AKP : 1121256

A = 12 = 1

K = 112 = 121

P = 162 = 256

So, AKP = 1121256

Similarly,

L = 122 = 144

N = 142 = 196

O = 152 = 225

So, LNO = 144196225

Hence, “144196225” is correct answer.

RRB NTPC Mock Test - 7 (English) - Question 7

In the following question, select the related word pair from the given alternatives.
Pen : Write :: Knife : ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 7

Pen is used to Write. Similarly, Knife is used to Cut.

Thus Knife is related to Cut.

RRB NTPC Mock Test - 7 (English) - Question 8

In the following question choose the appropriate option from the given alternatives.
Zulus : South Africa ∷ Aborigins : ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 8

As Zulus is one of the famous tribes in South Africa, similarly Aborigins is one of the tribes in Australia.

Hence, Australia is the answer.

Tribes from other countries:

India – Gonds, Garo

Alaska – Aleuts

Japan – Ainus

RRB NTPC Mock Test - 7 (English) - Question 9

In the given question, select the related figure from the given figures.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 9

From first figure to second figure, the alphabets are inverted vertically and numbers are inverted horizontally.

Hence option (1) is correct.

RRB NTPC Mock Test - 7 (English) - Question 10

Directions: In each of the following questions a number series is given. Find the missing number to complete the series. Then answer the question that follows.

68, 130, 222, ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 10

4+ 4 = 68

53 + 5 = 130

63 + 6 = 222

73 + 7 = 350

Hence the final term is 350.

RRB NTPC Mock Test - 7 (English) - Question 11

Find the wrong term in the following series.

ZB, SH, LL, EQ, XV

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 11


Thus, instead of ‘SH’ it should be ‘SG’.

RRB NTPC Mock Test - 7 (English) - Question 12

If in a certain code language, ‘FORCE’ is written as ‘FCROE’ then which word would be written as ‘DRAIY’?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 12

The pattern for this code is as follows,

Similarly,

Hence, the word DIARY is coded as DRAIY.

RRB NTPC Mock Test - 7 (English) - Question 13

If CAT = 12, then MAN = ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 13

According to the coding language;

CAT → 3 + 1 + 20 = 24 → 24 / 2 = 12

Similarly;

MAN → 13 + 1 + 14 = 28 → 28 / 2 = 14

Hence, '14' is the correct answer

RRB NTPC Mock Test - 7 (English) - Question 14

Pointing out to a female, “Vinay said, “She is the daughter of the woman who is the mother of the husband of my mother.” How is the female related to Vinay?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 14

From the given information,

Based on given data, we can draw family tree-

The female and Vinay’s father are siblings.

So, in that case Vinay’s father and the female’s mother are same.

Thus, the female is the paternal aunt of Vinay.

Hence, Paternal aunt is the correct answer

RRB NTPC Mock Test - 7 (English) - Question 15

A is B’s brother. C is D’s mother and A’s aunt. How is D related to B?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 15

From the given information,


Clearly, D is B’s cousin.

RRB NTPC Mock Test - 7 (English) - Question 16

Saba remembers her examinations starts after 29th March, while her father remembers that her examinations starts before 31st March. On which date of March does her examination start?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 16

Saba recalls her exams starts After 29th March.

Father recalls her exams starts Before 31st March.

So, after 29th March and before 31st March only 30th March comes.

Thus, Saba’s examination starts on 30th March.

RRB NTPC Mock Test - 7 (English) - Question 17

A, B, C, D, E, F and G are seven points. A is 4 km west of B. C is 4 km east of B. D is 4 km north of C while E is 4 km south of C. F is 2 km west of D. G is 8 km south of F.

In which direction is G with respect to B?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 17

We have drawn figure according to the information given:


Hence, G is in South-East direction with respect to B.

RRB NTPC Mock Test - 7 (English) - Question 18

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.
Responsibility

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 18

1) Ability → Responsibility : this word cannot be formed as there is no A in Responsibility.

2) Pen → Responsibility

3) Nose → Responsibility

4) Possible → Responsibility

Hence, “Ability” word cannot be formed from the given word.

RRB NTPC Mock Test - 7 (English) - Question 19

Direction: Study the following figure and answer the questions based on it.
In the following diagram rectangle represents engineers, square represents doctors, circle represents girls.

Q. The ratio of girls who are engineers but not doctors to the engineers who are doctors but not girls?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 19

Circle represents girls

Rectangle represents engineers

Square represents doctors

The girls who are engineers but not doctors: intersection of circle and rectangle - 11

The engineers who are doctors but not girls: intersection of rectangle and square – 1

Therefore, the ratio of girls who are engineers but not doctors to the engineers who are doctors

but not girls is 11 : 1

RRB NTPC Mock Test - 7 (English) - Question 20

Direction: Study the following figure and answer the questions based on it.
In the following diagram rectangle represents engineers, square represents doctors, circle represents girls.

Q. The number of engineers who are neither girls nor doctors?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 20

Circle represents girls.

Rectangle represents engineers.

Square represents doctors.

The number of engineers who are neither girls nor doctors is 15.

RRB NTPC Mock Test - 7 (English) - Question 21

Direction: Study the following figure and answer the questions based on it.
In the following diagram rectangle represents engineers, square represents doctors, circle represents girls.

Q. The numbers of girls who are doctors as well as engineers?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 21

Circle represents girls.

Rectangle represents engineers.

Square represents doctors.

The numbers of girls who are doctors as well as engineers: intersection of circle, square and rectangle.

The numbers of girls who are doctors as well as engineers is 2.

RRB NTPC Mock Test - 7 (English) - Question 22

In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 22

The logic followed is:

1st column → 2 + 2 + 8 = 12

2nd column → 1 + 6 + 4 = 11

3rd column → 4 + 7 + 3 = 14

Hence, the correct answer is 14.

RRB NTPC Mock Test - 7 (English) - Question 23

If ‘+’ denotes ‘-’, ‘÷’ denotes ‘+’, ‘×’ denotes ‘÷ ‘,’- ‘denotes ‘× ‘, then find the value of
238 × 7 - 12 ÷ 7 + 30?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 23

Changing operators as given format.


Givene × pression: 238 × 7 - 12 ÷ 7 + 30

After interchanging symbols: 238 ÷ 7 × 12 + 7 - 30 = 385

Hence, the correct answer is 385.

RRB NTPC Mock Test - 7 (English) - Question 24

Select the correct combination of mathematical signs to replace ∗ signs and to balance the given equation.
20 ∗ 3 ∗ 4 ∗ 8

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 24

Let us check out,

1) 20 = 3 + 4 × 8, False

2) 20 + 3 × 4 = 8, False

3) 20 = 3 × 4 + 8, True

4) 20 × 3 = 4 + 8, False

Hence, ‘=, ×, +’ is the correct sequence.

RRB NTPC Mock Test - 7 (English) - Question 25

Directions: Five people P, Q, R, S and T visit an office on first five days of a week. They work as a plumber, carpenter, cook, electrician and doctor in random order. A person pursues only one profession and visits the office only one day in the week. Consider the following information and answer questions based on it.

I. The plumber visits office every Monday.
II. P is an electrician who comes neither on Tuesday nor Thursday.
III. T is a carpenter and R is not plumber.
IV. The person who visits the office on Thursday is not a doctor.
V. S works on a Tuesday and T works on the following day.

Q. Which is the right combination?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 25

People: P, Q, R, S, and T

Professions: plumber, carpenter, cook, electrician and doctor

Days: Monday, Tuesday, Wednesday, Thursday, and Friday

 

I. The plumber visits office every Monday.

II. P is an electrician who comes neither on Tuesday nor Thursday.

 

III. T is a carpenter and R is not plumber.

IV. The person who visits the office on Thursday is not a doctor.

V. S works on a Tuesday and T works on the following day.

Hence, Thursday - Cook is the correct pair.

RRB NTPC Mock Test - 7 (English) - Question 26

Directions: Five people P, Q, R, S and T visit an office on first five days of a week. They work as a plumber, carpenter, cook, electrician and doctor in random order. A person pursues only one profession and visits the office only one day in the week. Consider the following information and answer questions based on it.

I. The plumber visits office every Monday.
II. P is an electrician who comes neither on Tuesday nor Thursday.
III. T is a carpenter and R is not plumber.
IV. The person who visits the office on Thursday is not a doctor.
V. S works on a Tuesday and T works on the following day.

Q. The doctor visits the office on every

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 26

People: P, Q, R, S, and T

Professions: plumber, carpenter, cook, electrician and doctor

Days: Monday, Tuesday, Wednesday, Thursday, and Friday

 

I. The plumber visits office every Monday.

II. P is an electrician who comes neither on Tuesday nor Thursday.

 

III. T is a carpenter and R is not plumber.

IV. The person who visits the office on Thursday is not a doctor.

V. S works on a Tuesday and T works on the following day.

Hence, the doctor visits the office on every Tuesday.

RRB NTPC Mock Test - 7 (English) - Question 27

Recently India signed a deal with Russia for S-400 missile system.It is Long Range ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 27

RRB NTPC Mock Test - 7 (English) - Question 28

"The Great Derangement: Climate Change and the Unthinkable” is written by which of the following author?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 28

RRB NTPC Mock Test - 7 (English) - Question 29

The Oscar Award, 2019 for Best Original Screenplay won by which of the following movie?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 29

RRB NTPC Mock Test - 7 (English) - Question 30

The Mahamastakabhisheka, the anointment of Gomateshwara statue at Shravanabelagola was held in 2018. Gommateshwara statue is dedicated to ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 30

RRB NTPC Mock Test - 7 (English) - Question 31

Recently Ministry of Railway launched SFOORTI Application for Freight Managers. What does 'T' Stand for in SFOORTI?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 31

RRB NTPC Mock Test - 7 (English) - Question 32

The Indian Science Congress, 2019 recently held in Jalandhar, Punjab. This was the ________ edition of Indian Science Congress.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 32

RRB NTPC Mock Test - 7 (English) - Question 33

The Keibul Lamjao National Park is a national park located in which of the following state?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 33

RRB NTPC Mock Test - 7 (English) - Question 34

Where is the capital of Croatia?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 34

RRB NTPC Mock Test - 7 (English) - Question 35

Identify the extremist leader of the Indian National Congress.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 35
  • Bipin Chandra Pal was an extremist leader along with Lala Lajpat Rai, Bal Gangadhar Tilak, and Aurobindo Ghosh.
  • Moderate leaders comprised of Pherozshah Mehta, Dadabhai Naoroji, WC Bannerjee, and Dinshaw Wacha.
RRB NTPC Mock Test - 7 (English) - Question 36

Find out the correct answer for the unsolved equation based on a certain system.
11 + 11 = 121, 14 + 14 = 196, 31 + 31 = ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 36

The logic followed is:

11 + 11 means 11 × 11 = 121.

14 + 14 means 14 × 14 = 196.

Similarly,

31 + 31 means 31 × 31 = 961.

So, the missing term will be 961.

RRB NTPC Mock Test - 7 (English) - Question 37

If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 37


Thus, image at option 4 is the mirror image of the given image.

RRB NTPC Mock Test - 7 (English) - Question 38

Which answer figure will complete the pattern in the question figure?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 38


Hence, option 3 will complete the given question figure.

RRB NTPC Mock Test - 7 (English) - Question 39

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 39

When the unfolded cube is folded,  is  opposite to , but in option 3) these two signs are adjacent to each other which is not possible.

Hence, the correct answer is option 3).

RRB NTPC Mock Test - 7 (English) - Question 40

The question below consists of a statement followed by two conclusions, 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 conclusions be definitely drawn from the given statement.

Statement: Cyclones bring heavy rainfall and strong winds. People are advised to stay indoors for their safety.
Conclusion:
I. Cyclones bring devastation to the places it passes through.
II. Officials are concerned about the well-being of the people.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 40

From the given statement we can conclude that heavy rainfall and strong wind currents are caused via cyclones. Warnings are also given to the public about the effects of cyclones and the need to stay indoors. Hence public safety is the first priority of the government. This shows that conclusion II follows. Cyclones bring devastation to the people. Thus both conclusions follow.

RRB NTPC Mock Test - 7 (English) - Question 41

Direction:- In the question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically followed beyond a reasonable doubt from the information given in the statement.

Statement:  The new court ruling requiring all the Members of Parliament to disclose their sources of income has been strongly resisted by them.
Conclusions:
I. 
The Members of Parliament have additional undisclosed income.
II. The Members of Parliament do not respect the court.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 41

The only information given in the statement is that the Members of the Parliament have opposed a new rule regarding disclosing their sources of income.

From this, we cannot strongly conclude that all of them have additional disclosed income and that is the reason for them opposing the rule. Thus, this conclusion does not follow.

Their protest against one rule cannot be safely concluded as their disrespect for the court. Thus, this conclusion does not follow either.

Hence, ​neither I nor II follows.

RRB NTPC Mock Test - 7 (English) - Question 42

Direction:- Statement is given followed by two inferences 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: Gujarat has the highest employment rate in the country, while other states lack an employment exchange and related infrastructure.
Inferences:
I. Gujarat has a good employment exchange and also good infrastructure to provide opportunities for employment.
II. Literacy rate of Gujarat, is the lowest in India.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 42

The reason for Gujarat having the highest employment rate in the country should be what the other states are lacking. Thus, inference I follows as it states the same.

There is no mention about the literacy rate of Gujarat in the statement and no mention of any relation between employment and literacy. Thus inference II does not follow.

RRB NTPC Mock Test - 7 (English) - Question 43

The profit earned after selling a mobile phone for Rs. 7090 is the same as loss incurred after selling the same mobile phone for Rs. 6570. What should be the selling price of that mobile phone to get a profit of 10%?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 43

According to the given information,

Let’s assume the cost price of mobile phone is Rs. x

Selling Price when profit earned = Cost Price + Profit = Rs. 7090

Selling Price when loss incurred = Cost Price – Loss = Rs. 6570

We know that,

Profit earned and loss incurred are numerically equal.

Adding both the selling prices, we get,

Cost Price + Cost Price = 7090 + 6570

Cost Price = 13660/2

Cost Price of mobile phone = Rs. 6830

To gain 10%, selling price = 6830 + (10% of 6830) = 1.1 × 6830 = Rs. 7513

RRB NTPC Mock Test - 7 (English) - Question 44

A merchant allows 5% discount on all his goods to all his customers. He offers a further discount of 2% on the reduced price to those customers who pay cash. What will a customer actually has to pay for an article in cash if its Marked Price is Rs 4800?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 44

Given that,

Marked price of the article = Rs 4800

First discount = 5% of marked price

= 5 × 4800/100 = Rs 240.

Net price after discount = Rs (4800 - 240)

= Rs 4560

Second discount = 2% of Rs 4560

= 2 × 4560/100 = Rs 91.20

∴ Net price after discount = Rs 4560 – Rs 91.20

= Rs 4468.80

Short Trick Method:-

Required price = 

= Rs 4468.80

Hence, the required answer is Rs 4468.80,

RRB NTPC Mock Test - 7 (English) - Question 45

Srishti bought two hens for Rs. 1300. She sold one at a loss of 5% and the other at a gain of 8%. What will be the cost price of each hen respectively if she faced neither loss nor gain in this transaction?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 45

Let’s assume the cost price of first hen to be Rs. x

And, the cost price of second hen to be Rs. y

According to the given information,

x + y = 1300

⇒ y = 1300 – x                     ------- Equation (1)

∵ first hen was sold at 5% loss,

Selling Price of first hen = x – (5% of x) = 0.95x

∵ the second hen was sold at 8% profit,

Selling Price of second hen = y + (8% of y) = 1.08y

∵ Neither profit nor loss was incurred in the entire transaction, overall selling price must be equal to overall cost price.

⇒ 0.95x + 1.08y = 1300               ------- Equation (2)

Substituting the value of y from Equation (1) into Equation (2), we get,

0.95x + 1.08(1300 – x) = 1300

⇒ 1.08x – 0.95x= 1404 – 1300

⇒ 0.13x = 104

⇒ x = 800

∴ y = 1300 – 800 = 500

RRB NTPC Mock Test - 7 (English) - Question 46

A, B and C undertook a work for Rs. 80000. Together A and B complete 3/4th part of the work. What is the share (in Rs.) of C?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 46

A, B and C undertook a work for Rs. 80000.

A and B complete (3/4th) part of the work.

Remaining work = 1- (3/4) = 1/4

The share of  C = 1/4 × 80000 = Rs.20000

RRB NTPC Mock Test - 7 (English) - Question 47

Rohit can distribute all morning newspaper in 32/9 hours but with the assistance of his brother, the newspaper were distributed in 32/15 hours. In how many hours, his brother alone can distribute all morning newspaper?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 47

Let his brother can distribute all newspaper in x hours, in one hour he can distribute 1/x of all newspaper

∵ in one hour Rohit can distribute 9/32 of all newspapers

∴ in one hour Rohit and his brother together can distribute 9/32 + 1/x of all newspaper.

15/32 = 9/32 + 1/x

x = 32/6 = 16/3 hours

RRB NTPC Mock Test - 7 (English) - Question 48

Speed of a boat along the current and against the current are 16 km/hr and 10 km/hr respectively. What is the speed of the current?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 48

Let, Speed of the boat in still current = x km/h and Speed of the current = y km/h

Speed of boat along the current is 16 km/h

∴ x + y = 16      -----(1)

Speed of boat against the current is 10 km/h

∴ x - y = 10      -----(2)

(1) - (2)

x + y - x + y = 16 - 10

⇒ 2y = 6

⇒ y = 3 km/h

RRB NTPC Mock Test - 7 (English) - Question 49

A bus runs at an average speed of 45 km/hr. If it completes 405 km long-journey with a break of 1 hour, what is the total time taken during the journey?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 49

Average speed = distance/time

Given,

Average speed = 45 km/hr

Distance = 405 km

⇒ Time = 405/45

⇒ Time = 9 hr

But he takes 1 hour break during journey, so total time is also increased by 1 hour.

∴ Total time taken in the journey is 10 hour.

RRB NTPC Mock Test - 7 (English) - Question 50

A man walks at a certain speed and reaches his destination which is 6 km in 1 hr 40 minutes. If he runs the same distance in 1 hour 20 minutes what is the difference in speed?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 50

Distance = 6 km

Let t1 = 1 hr 40 minutes =

Let the speeds be s1 and s2.

RRB NTPC Mock Test - 7 (English) - Question 51

The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 51

We know the formula for length of direct common tangent,

L2 = D2 - (r1 - r2)2

Here L = Length of direct common tangent, D = Distance between the centre of the circles, r1 and r2 are radius of circles,

⇒ L2 = 602 - (35 - 24)2

⇒ L2 = 3600 - 121

⇒ L = (√3479)(3479) cm

∴ Length of direct common tangent = √(3479)

RRB NTPC Mock Test - 7 (English) - Question 52

If cot A = 12/5, then (sin A + cos A) × cosec A is:

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 52

⇒ (sin A + cosA) × cosecA = (sinA + cosA) × (1/sinA) = 1 + (cosA/sinA) = 1 + cotA = 1 + (12/5) = 17/5

RRB NTPC Mock Test - 7 (English) - Question 53

The bar chart represents percentage scored by four students U, V, W and X in History and Geography. Consider the bar chart and answer questions based on it. Given that the maximum marks for History and Geography are same.

Q. Who scored the highest percentage in both the subjects combined?

 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 53

Sum of marks obtained in both the subjects,

 U = 75 + 80 = 155

 V = 63 + 87 = 150

 W = 80 + 70 = 150

 X = 72 + 75 = 147

As the maximum marks are same i.e. 200

So the person having highest marks will also have highest percentage

So the answer is U

RRB NTPC Mock Test - 7 (English) - Question 54

The bar chart represents percentage scored by four students U, V, W and X in History and Geography. Consider the bar chart and answer questions based on it. Given that the maximum marks for History and Geography are same.

Q. Total marks in History is what percent of total marks in History and Geography combined?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 54

Total marks in history (75 + 63 + 80 + 72) = 290

Total marks in geography = (80 + 87 + 70 + 75) = 312

Total marks in geography + history = 602

Required percentage = 290/602 × 100 = 48.17%

RRB NTPC Mock Test - 7 (English) - Question 55

The bar chart represents percentage scored by four students U, V, W and X in History and Geography. Consider the bar chart and answer questions based on it. Given that the maximum marks for History and Geography are same.

Q. What is the average marks obtained in History by all students?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 55

Total percentage marks in history = (75 + 63 + 80 + 72) = 290

Average = 290 ÷ 4 = 72.5

RRB NTPC Mock Test - 7 (English) - Question 56

Who among the following was the founder of Prarthana Samaj?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 56
  • Dr.Atmaram Pandurang founded the Prarthana Samaj in Bombay in 1867.
  • R.G Bhandarkar was another leader of Prarthana Samaj.
  • Its 2 main planks were social reforms and worship.​
RRB NTPC Mock Test - 7 (English) - Question 57

Who among the following defeated Mughals in the Battle of Karnal?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 57
  • In 1739, Nadir Shah defeated the Mughals in the Battle of Karnal and later imprisoned Muhammad Shah and annexed areas west of the Indus into the Persian empire.​
  • Nadir Shah was the founder of the Afsharid dynasty of Persia.
  • Muhammad Shah was the Mughal ruler during 1719-48.
RRB NTPC Mock Test - 7 (English) - Question 58

Which of the following is an example of direct tax in India?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 58

RRB NTPC Mock Test - 7 (English) - Question 59

Personal Disposable Income (PDI ) = ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 59
  • Personal income (PI) is equal to NI (net interest) – Undistributed profits – Net interest payments made by households – Corporate tax + Transfer payments to the households from the government and firms.
  • Personal Disposable Income (PDI) =Personal income (PI) – Personal tax payments – Non-tax payments.
RRB NTPC Mock Test - 7 (English) - Question 60

Which of the following language is not included in 8th Schedule of the Indian constitution? 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 60
  • 8th Schedule of Indian constitution had 14 languages originally but presently there are 22 languages, which include Gujarati,  Bodo, Assamese, Bengali, Dogri (Dongri), Hindi, Konkani,Kannada, Kashmiri, Mathili (Maithili), Marathi, Malayalam, Manipuri, Sanskrit, Nepali, Odia, Punjabi,Santhali, Sindhi, Tamil, Telugu and Urdu.
  • Sindhi language was added by the 21st Amendment Act of 1967.
  • Nepali, Manipuri, and Konkani were added by the 71st Amendment Act of 1992.
  • Santhali, Maithili, Dogri, and Bodo were added by the 92nd Amendment Act of 2003.
RRB NTPC Mock Test - 7 (English) - Question 61

Provision of single citizenship in the Indian constitution is borrowed from which Constitution?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 61

RRB NTPC Mock Test - 7 (English) - Question 62

Office of Attorney-General for India is mentioned in which of the following articles of Indian constitution?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 62

RRB NTPC Mock Test - 7 (English) - Question 63

Which of the following lakes is located at the southernmost latitude of India?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 63

Vembanad Lake is located in Kerala state in South India.

RRB NTPC Mock Test - 7 (English) - Question 64

Which of the following is not a part of the forebrain?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 64

The brain is divided into three major parts: (i) forebrain, (ii) midbrain and (iii) hindbrain

RRB NTPC Mock Test - 7 (English) - Question 65

Which of the following countries is known as the land of White Elephants?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 65

Thailand is the country which is known as the land of White Elephants.

RRB NTPC Mock Test - 7 (English) - Question 66

Which of the following is an example of the dicotyledonous plant? 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 66

RRB NTPC Mock Test - 7 (English) - Question 67

Find the odd one out:
Sea Butterfly, Sea Mice, Sea Hare, Sea Squid.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 67

RRB NTPC Mock Test - 7 (English) - Question 68

Diplopia disease is related to which of the following organs?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 68

RRB NTPC Mock Test - 7 (English) - Question 69

Blood pressure of a healthy person is about ________ of Hg.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 69

RRB NTPC Mock Test - 7 (English) - Question 70

What is the SI unit of Compressibility?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 70

RRB NTPC Mock Test - 7 (English) - Question 71

Calculate the work done to take an object of mass 10 kg to a height of 20 m. (g = 9.8 m/s2).

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 71

Given data: m = 10 kg; s = 20 m; g = 9.8 m/s2
F = m.g = 10 × (-9.8) (The negative sign is taken because the displacement is opposite to the direction of the force.)
F = -98 N
W = F × s = -98 × 20
W = -1960 J  (The negative sign appears because the direction of the force is opposite to the direction of displacement so that the work done is negative.)

RRB NTPC Mock Test - 7 (English) - Question 72

A sum borrowed at 6% p.a earns an interest which is 1/3 of its principal in x years. Find x.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 72

Let the principal be Rs. P

Interest = P/3

RRB NTPC Mock Test - 7 (English) - Question 73

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum is

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 73

Let the sum be x.

We know, Amount = Principal (1 + Rate/100)n

Compound interest = Amount - Principal

CI = x (1 + 4/100)2 - x

CI = 51x/625

We know, Simple interest = (P × R × T)/100

SI = (x × 4 × 2)/100 = 2x/25

It is given that CI - SI = 1

⇒ 51x/625 - 2x/25 = 1

⇒ (51x - 50x)/625 = 1

⇒ x = Rs. 625

∴ The sum is Rs. 625

RRB NTPC Mock Test - 7 (English) - Question 74

Find the interest on Rs.25000 at 12% p.a compounded annually for 3 years.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 74


= 25000 × 1.12 × 1.12 × 1.12 – 25000 = Rs. 10123.20

RRB NTPC Mock Test - 7 (English) - Question 75

Find the fourth proportional to: 1/3, 2/5 and 8.4

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 75

As we know that, Fourth proportional = (b × c)/a 

Where a,b and c are the 1st, 2nd and 3rd elements of proportion respectively

a = 1/3, b = 2/5 and c = 8.4

3.36 / 1/3 = 10.08

RRB NTPC Mock Test - 7 (English) - Question 76

A tiger takes 4 leaps for every 5 leaps of dog. If 1 leap of tiger is equal to 4 leaps of dog. Find the ratio of speeds of tiger and dog.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 76

As per given data-

Tiger takes 4 leaps for every 5 leaps of dog.

∴ Ratio of leaps of tiger to dog = 4 ∶ 5

As stated in data 1 leap of tiger is equal to 4 dog leaps.

∴ Converting tiger leaps into dog leaps-

∴ Speed of tiger ∶ speed of dog

4 × 4 ∶ 5

⇒ 16 ∶ 5

RRB NTPC Mock Test - 7 (English) - Question 77

Two numbers are in the ratio 3 ∶ 5. If each number is increased by 10, the ratio becomes 5 ∶ 7. The smaller number is∶

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 77

Two numbers are in the ratio 3 ∶ 5,

Let the numbers be 3x and 5x,

Each number is increased by 10, and the ratio becomes 5 ∶ 7,

⇒ (3x + 10)/(5x + 10) = 5/7

⇒ x = 5

∴ Smallest number, 3x = 15

RRB NTPC Mock Test - 7 (English) - Question 78

What percent of 1 hour is 1 minute and 12 seconds?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 78

Let it be x%

⇒ x% of 1 hour = 1 minute 12 second

⇒ x% of (60 × 60) second = (60 + 12) second

⇒ 3600x/100 = 72

⇒ x = 72/36

⇒ x = 2%

RRB NTPC Mock Test - 7 (English) - Question 79

In a company 10 employees get a salary of Rs. 36,200 each and 15 employees get a salary of Rs. 33,550 each. What is the average salary per employee?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 79

⇒ Total salary of 10 employees = 10 × 36200 = Rs. 362000

⇒ Total salary of 15 employees = 15 × 33550 = Rs. 503250

⇒ Average = (362000 + 503250)/(10 + 15) = 865250/25 = 34610

RRB NTPC Mock Test - 7 (English) - Question 80

A New Year party was organised for which 150 people were invited, such that the average cost of food per person was Rs. 1840. But, due to the absence of some people at the party, the average cost of food per person increased by Rs. 160. How many of the invited people did not attend the party?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 80

No. of people invited = 150

Average cost of food per person = Rs. 1840

⇒ Total cost of food = 150 × 1840 = Rs. 276000

Let ‘x’ people attended the party

∵ The average cost of food increased by Rs. 160,

⇒ Average cost of food per person became = 1840 + 160 = Rs. 2000

⇒ 2000x = 276000

⇒ x = 276000/2000 = 138

∴ No. of invited people that did not attend the party = 150 – 138 = 12

RRB NTPC Mock Test - 7 (English) - Question 81

If  then find the value of  

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 81

Given, x + 1/x = -2

If we put x = -1

So, x531 + 1/x532 = (-1)531 + 1/(1532) = -1 + 1 = 0

RRB NTPC Mock Test - 7 (English) - Question 82

If Polynomials 2x3 + ax2 + 3x - 5 and x3 + x2 - 2x + a are divided by (x - 2), the same remainder are obtained. Find the value of a ________

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 82

f(x) = 2x3 + ax2 + 3x - 5

g(x) = x3 + x2 - 2x + a

By remainder theorem,

f(2) = 2(2)3 + a(2)2 + 3 × 2 - 5

= 17 + 4a

g(2) = (2)3 + (2)2 - 2 × 2 + a

= 8 + a

17 + 4a = 8 + a

3a = -9

a = -3

RRB NTPC Mock Test - 7 (English) - Question 83

The average of two numbers is 10 and the product of two numbers is 96. Find the two numbers 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 83

Let the two numbers be ‘x’ and ‘y’

Average = (x + y)/2 = 10

⇒ x + y = 20

⇒ x = 20 – y        ----(1)

Product = xy = 96

Substituting from (1),

⇒ y(20 – y) = 96

⇒ y2 – 20y + 96 = 0

⇒ y2 – 12y – 8y + 96 = 0

⇒ y(y – 12) – 8(y – 12) = 0

⇒ (y – 12)(y – 8) = 0

⇒ y = 8, 12

⇒ x = 12, 8

∴ The numbers are 12, 8

RRB NTPC Mock Test - 7 (English) - Question 84

78 books, 114 crayons and 141 notebooks were distributed to school children equally. It was found that 6 were left undistributed in each. What was the total number of children?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 84

No. of books distributed = 78 – 6 = 72

No. of crayons distributed = 114 – 6 = 108

No. of notebooks distributed = 141 – 6 = 135

As the things were distributed equally,

Total no. of children = H.C.F of 72,108,135 = 9

RRB NTPC Mock Test - 7 (English) - Question 85

Find the greatest number which on dividing 3050 and 5200 leaves remainders 7 and 9 respectively.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 85

On dividing 3050 and 5200 leaves remainders 7 and 9 respectively,

⇒ Number exactly divides 3050 – 7 = 3043 and 5200 – 9 = 5191

So the number which divides 3043 and 5191 exactly,

Factors of 3043 = 1 × 17 × 179

Factors of 5191 = 1 × 29 × 179

∴ 179 is the greatest number.

RRB NTPC Mock Test - 7 (English) - Question 86

Solve:
9.7 + 4.5 – 3.5 ÷ 0.7– 1.2 + 6.7 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 86

9.7 + 4.5 – 3.5 ÷ 0.7 – 1.2 + 6.7

⇒ 9.7 + 4.5 - 5 - 1.2 + 6.7

⇒ 14.2 - 6.2 + 6.7

⇒ 14.2 - 6.2 + 6.7

⇒ 8 + 6.7 = 14.7

RRB NTPC Mock Test - 7 (English) - Question 87

What will come in the place of question mark (?) in the following question?
435 ÷ 7.5 – 40% of 130 = ?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 87

Follow the BODMAS rule to solve the question,

435 ÷ 7.5 – 40% of 130 = ?

Any mathematical 'Of' or 'Exponent' must be solved first,

⇒ 435 ÷7.5 – [(40/100) × 130] = ?

The parts of the equation that contain 'Division' and 'Multiplication' are calculated,

⇒ (435 ÷ 7.5) – 52 = ?

The parts of the equation that contain 'Addition' and 'Subtraction' should be calculated,

⇒ 58 – 52 = ?

∴ ? = 6

RRB NTPC Mock Test - 7 (English) - Question 88

Find the value of x in the following equation:
53.5 × 54.8 × 52.4 ÷ 5x = 55.1

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 88

53.5 × 54.8 × 52.4 ÷ 5x = 55.1

Using the laws of indices,

⇒ 5(3.5 + 4.8 + 2.4)÷ 5x = 55.1

⇒ 510.7 ÷ 5x = 55.1

⇒ 5(10.7 - x) = 55.1

On comparing both sides

⇒ 10.7 - x = 5.1

⇒ x = 10.7 - 5.1

⇒ x = 5.6

RRB NTPC Mock Test - 7 (English) - Question 89

Which of the following state has the second highest population density (per sq.Km) as per 2011 census?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 89

RRB NTPC Mock Test - 7 (English) - Question 90

Who among the following has held office of vice president twice?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 90

Mohammed Hamid Ansari has hold office of vice president two times i.e. from 2007-2012 and 2012-2017.

RRB NTPC Mock Test - 7 (English) - Question 91

Indian Air force recently conducted airstrike at Balakot town of Pakistan, which is located in ________ province.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 91
  • Indian Air force recently (February 2019) conducted airstrike at Balakot town of Pakistan. It is located in Khyber-Pakhtunkhwa province.
  • The administrative units of Pakistan consist of four provinces Balochistan, Khyber Pakhtunkhwa, Punjab, and Sindh.
RRB NTPC Mock Test - 7 (English) - Question 92

Who among the following scholars is not related to the Rig Vedic period?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 92
  • Apala, Ghosa and Lopamudra are scholars of Rig Vedic period.
  • The Rigveda consists of hymns in praise of a variety of deities, especially Agni, Indra and Soma.
  • Many of these hymns were chanted when sacrifices were performed, where people prayed for cattle, sons, good health, long life, etc.
RRB NTPC Mock Test - 7 (English) - Question 93

Which of the following stones was used to make the seals in Indus Civilization?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 93
  • The Harappan seal is possibly the most distinctive artifact of the Harappan or Indus Valley Civilisation.
  • They are made of a stone called steatite, seals often contain animal motifs and signs from a script that remains undeciphered.
RRB NTPC Mock Test - 7 (English) - Question 94

If the height of the satellite’s orbit above the earth’s surface is greater than or equal to ________, the orbit is called High-Earth Orbit.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 94

RRB NTPC Mock Test - 7 (English) - Question 95

India's Satellite Launch Center Chandipur is located in which of the following states?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 95

Satellite Launch Centres:

1. Thumba, Thiruvananthapuram

2. Sriharikota

3. Chandipur, Odisha

Space Research Organizations:

1. Vikram Sarabhai Space Center, Thiruvananthapuram

2. Satish Dhawan Space Research Center, Sriharikota

3. Space Application Center, Ahmedabad

RRB NTPC Mock Test - 7 (English) - Question 96

A species whose addition or loss from an ecosystem leads to major changes in the occurrence of at least one other species is called  ________.

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 96

RRB NTPC Mock Test - 7 (English) - Question 97

Which of the following is man-made greenhouse gas? 

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 97

RRB NTPC Mock Test - 7 (English) - Question 98

Which of the following awards is not won by Mary Kom?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 98

RRB NTPC Mock Test - 7 (English) - Question 99

How many teams participated in the FIFA 2018 World cup?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 99

The 2018 FIFA World Cup qualification process was a series of tournaments organised by the six FIFA confederations to decide 31 of the 32 teams which would play in the 2018 FIFA World Cup, with Russia qualifying automatically as hosts.

RRB NTPC Mock Test - 7 (English) - Question 100

Who among the following Union Ministers launched the Emergency Response Support System (ERSS) for Himachal Pradesh?

Detailed Solution for RRB NTPC Mock Test - 7 (English) - Question 100
  • The Union Home Minister Rajnath Singh launched Emergency Response Support System (ERSS) at Mandi in November 2018.
  • Himachal Pradesh became the first state to launch pan-India single emergency number ‘112’ under Emergency Response Support System (ERSS).
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