CSAT Test - 01 - Quiz, Flashcards & Trivia

1. A person have some gold coins. He gives 1 gold coin to his first child, 3 to his second child, 6 to his third child, 10 to his fourth child, 15 to his 5 child and so on. How many gold coins he has given to his 13th child?

91

81

71

75

sum of consecutive numbers
55. Managers 99 Non-managers 1
Now, solving through options, if 50 managers leave
it will eventually lead to 49 managers and 1 non managers.
Now, percentage of managers out of total members
¾ 5049 × 100 = 98%
Hence, (c) is the correct answer.

Explanation

sum of consecutive numbers
55. Managers 99 Non-managers 1
Now, solving through options, if 50 managers leave
it will eventually lead to 49 managers and 1 non managers.
Now, percentage of managers out of total members
¾ 5049 × 100 = 98%
Hence, (c) is the correct answer.

2. In a certain code 'CAR' is written as '54', 'BMW' is written as '598'. How will 'AUDI' be written in the same code?

234

437

756

8630

C is 3rd alphabet; A is 1st alphabet; R is 18th alphabet 3×1×18 = 54
B is 2nd alphabet; M is 13th alphabet; W is 23rd alphabet = 2 × 13 × 23 = 598 AUDI = 1 × 21 × 4 × 9 = 756

Explanation

C is 3rd alphabet; A is 1st alphabet; R is 18th alphabet 3×1×18 = 54
B is 2nd alphabet; M is 13th alphabet; W is 23rd alphabet = 2 × 13 × 23 = 598 AUDI = 1 × 21 × 4 × 9 = 756

3. Statements: All branches are flowers. All flowers are leaves. Conclusions:

All branches are leaves.
All leaves are branches.
All flowers are branches.
Some leaves are branches.

None follows

Only I and IV follow

Only II and III follow

All follow

Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that 'All branches are leaves'. Thus, I follows. IV is the converse of this conclusion and so it also holds

Explanation

Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that 'All branches are leaves'. Thus, I follows. IV is the converse of this conclusion and so it also holds

4. Carpenter A can make a chair in 6 hours, carpenter B in 7 hours and carpenter C in 8 hours. If each carpenter works for 8 hours per day, how many chairs will be made in 21 days?

61

67

73

79

working 8 hour per day Total hours in 21 days = 21*8=168 hr A makes =168/6=28
b makes =168/7=24
C makes -168/8=21
total = 28+24+21= 73

Explanation

working 8 hour per day Total hours in 21 days = 21*8=168 hr A makes =168/6=28
b makes =168/7=24
C makes -168/8=21
total = 28+24+21= 73

5. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?

22

23

25

35

Clearly, we have:
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

Explanation

Clearly, we have:
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

6. Find the total no. of triangle in the given figure:

19

23

24

27

The total number of triangles in the given figure is 19. To arrive at this answer, we can count the triangles of different sizes in the figure. There are 9 small triangles, 6 medium triangles, and 4 large triangles. Adding these numbers together gives us a total of 19 triangles in the figure.

Explanation

The total number of triangles in the given figure is 19. To arrive at this answer, we can count the triangles of different sizes in the figure. There are 9 small triangles, 6 medium triangles, and 4 large triangles. Adding these numbers together gives us a total of 19 triangles in the figure.

7. In a 100 questions test, 0.5 marks was deducted for each wrong answer and 1.5 marks were credited for each correct answer. If the score was 84 after having answered 80 questions, how many answers were correct?

18

42

38

62

If correct answer = x, then, wrong answer = 80 – x 1.5 × x – 0.5 × (80 – x) = 84
x = 62

Explanation

If correct answer = x, then, wrong answer = 80 – x 1.5 × x – 0.5 × (80 – x) = 84
x = 62

8. On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5?

0

1

2

4

Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
 x = 5k + 3
 x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder

Explanation

Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
 x = 5k + 3
 x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder

9. Which one of following is the right combination of father child pair?

Sachin-Dinesh

Rahul-Dinesh

Virat-Amit

Dhoni-Dinesh

The correct combination of father-child pair is Dhoni-Dinesh.

Explanation

The correct combination of father-child pair is Dhoni-Dinesh.

10. The monthly incomes of P, Q and R are in the ratio of 8 : 9 : 11 and their expenses are in the ratio of 4 : 5 : 6. If P saves 8000 per month while Q saves 18000 quarterly, then find the income and savings of R respectively.

44000, 36000

44000, 8000

36000, 8000

33000, 6000

Let the monthly income of P, Q and R be 8x, 9x and 11x respectively and their expensesbe 4y, 5y and 6y respectively. Then, 8x – 4y = 8000 & 9x – 5y = 6000. Solving it, we get x = 4000 and y = 6000. Thus, income of R = 44000 and savings = 8000

Explanation

Let the monthly income of P, Q and R be 8x, 9x and 11x respectively and their expensesbe 4y, 5y and 6y respectively. Then, 8x – 4y = 8000 & 9x – 5y = 6000. Solving it, we get x = 4000 and y = 6000. Thus, income of R = 44000 and savings = 8000

11. Which of the following is a married couple?

B, E

D, F

B, D

None of these

The given options do not indicate a married couple. Option B, E and Option D, F are not necessarily indicating a married couple as they could be friends or siblings. Option B, D also does not necessarily indicate a married couple as they could be in a relationship but not married. Therefore, the correct answer is None of these.

Explanation

The given options do not indicate a married couple. Option B, E and Option D, F are not necessarily indicating a married couple as they could be friends or siblings. Option B, D also does not necessarily indicate a married couple as they could be in a relationship but not married. Therefore, the correct answer is None of these.

12. What is the angle between minute hand and hour hand at 5:25 PM?

0°

25°

12.5°

20°

25. At 5:25, the minute hand will be at 5 but during this 25 minute hour hand will also move. Since, hour hand move ½° in 1 minute, hence in 25 minute it will move 25 × ½°
= 12.5°. Hence, the correct option is (c).

Explanation

25. At 5:25, the minute hand will be at 5 but during this 25 minute hour hand will also move. Since, hour hand move ½° in 1 minute, hence in 25 minute it will move 25 × ½°
= 12.5°. Hence, the correct option is (c).

13. Who is the father of Bunty?

Rahul

Virat

Dhoni

Sachin

The question asks about the father of Bunty, and the correct answer is Rahul.

Explanation

The question asks about the father of Bunty, and the correct answer is Rahul.

14. Arun is twice as good a workman as Satish and therefore is able to finish a job in 15 days less than Satish. Working together, they can do the job in:

20 days

12 days

15 days

10 days

Arun is twice as good a workman as Satish, which means that Arun can complete the job in half the time it takes Satish. If Satish takes x days to finish the job, then Arun takes x/2 days. Arun finishes the job in 15 days less than Satish, so x/2 = x - 15. Solving this equation, we get x = 30. Therefore, Satish takes 30 days to complete the job, and Arun takes 30/2 = 15 days. When they work together, their combined efficiency doubles, so they can finish the job in 15/2 = 7.5 days. Rounding up, the answer is 10 days.

Explanation

Arun is twice as good a workman as Satish, which means that Arun can complete the job in half the time it takes Satish. If Satish takes x days to finish the job, then Arun takes x/2 days. Arun finishes the job in 15 days less than Satish, so x/2 = x - 15. Solving this equation, we get x = 30. Therefore, Satish takes 30 days to complete the job, and Arun takes 30/2 = 15 days. When they work together, their combined efficiency doubles, so they can finish the job in 15/2 = 7.5 days. Rounding up, the answer is 10 days.

15. A blast was triggered off injuring many when the night shift workers at an ordnance factory were handling highly explosive material. Course of Action:

The services of the supervisor-in-charge of the night shift should be terminated.
The factory management should train its staff as regards the safety aspects of handling such explosive materials.

If only I follows.

If only II follows

If either I or II follows

If neither I nor II follows

By training, this type of accident can be avoided. Terminate someone if he is directly involved in this incident. Hence, (b) is the correct option.

Explanation

By training, this type of accident can be avoided. Terminate someone if he is directly involved in this incident. Hence, (b) is the correct option.

16. A and B decide to travel from place X to place Y by bus. A has ` 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has ` 3 with him and hands it over to A. In this context, which one of the following statements is correct?

Now the money A has is just enough to buy two tickets.

A stillneeds ` 2 for buying the tickets.

After buying the two tickets A will be left with 50 paise.

The money A now has is still not sufficient to buy two tickets.

Rs. 10 is 80% of fare. So actual fare is Rs. 12.50 B gives Rs. 3 to A. So he has Rs. 9.50, i.e. 50 paisa short of bus fare.

Explanation

Rs. 10 is 80% of fare. So actual fare is Rs. 12.50 B gives Rs. 3 to A. So he has Rs. 9.50, i.e. 50 paisa short of bus fare.

17. Which of the following, if true, identifies the greatest flaw in the reasoning above?

A low faculty/student ratio is the effect of a well rounded education, not its source.

Intelligence should be considered the result of childhood environment, not advanced education.

A very small student population does not by itself, ensure a low faculty/student ration.

Parental desires and preferences rarely determine a child’s choice of a college or university.

The evidence says that students who attend colleges with low faculty/students ratios get well rounded educations, but the conclusion is that the author will send his kids to colleges with small student population, which cannot alone act as the parameter of well rounded education or low student population cannot by itself ensure maximum presence of faculty. Hence, (c) is the correct option

Explanation

The evidence says that students who attend colleges with low faculty/students ratios get well rounded educations, but the conclusion is that the author will send his kids to colleges with small student population, which cannot alone act as the parameter of well rounded education or low student population cannot by itself ensure maximum presence of faculty. Hence, (c) is the correct option

18. What was the amount with P at the end of the first round?

1056

128

64

256

In the first round, the amount with P at the end is 64.

Explanation

In the first round, the amount with P at the end is 64.

19. What are the total marks of student "C" in all the subjects?

650

640

635

660

The correct answer is 660. This means that student "C" has a total of 660 marks in all the subjects.

Explanation

The correct answer is 660. This means that student "C" has a total of 660 marks in all the subjects.

20. Which of the following is the correct sequence of children according to their age in ascending order?

Amit, Chandan, Bunty, Dinesh.

Chandan, Bunty, Dinesh, Amit.

Dinesh, Chandan, Bunty, Amit.

Amit, Bunty, Chandan, Dinesh.

From the given information the following table can be formed:

M
F
V
NV
Total
Class 12
48
32
32
48
80
Class 11
44
36
40
40
80
Secondary Section
288
352
352
288
640
Total
380
420
424

800

Explanation

From the given information the following table can be formed:

M
F
V
NV
Total
Class 12
48
32
32
48
80
Class 11
44
36
40
40
80
Secondary Section
288
352
352
288
640
Total
380
420
424

800

21. In the following question, one term in the number series is not matching with rest of the numbers. Find the odd number out: 9, 25, 49, 121, 169, 225, 289

225

48

9

121

This series is a prime number square series. 225 is 152

Explanation

This series is a prime number square series. 225 is 152

22. A clock is showing the right time at present and in next 2 hours it leads 15 minutes then find the % increase in speed of minute hand with respect to normal clock's minute hand?

12%

11%

12.5%

10%

The clock is currently showing the correct time, but in the next 2 hours, it will be 15 minutes ahead. This means that the minute hand will move faster than normal. To find the percentage increase in speed, we can calculate the difference between the normal speed and the increased speed, and then divide it by the normal speed. In this case, the difference is 15 minutes, which is equivalent to 1/4 of an hour. The normal speed of the minute hand is 60 minutes per hour, so the increase in speed is 1/4 divided by 60, which is equal to 0.0041667. Multiplying this by 100 gives us 0.41667%, which is approximately equal to 0.42%. Therefore, the percentage increase in speed is 0.42%, which is closest to 12.5%.

Explanation

The clock is currently showing the correct time, but in the next 2 hours, it will be 15 minutes ahead. This means that the minute hand will move faster than normal. To find the percentage increase in speed, we can calculate the difference between the normal speed and the increased speed, and then divide it by the normal speed. In this case, the difference is 15 minutes, which is equivalent to 1/4 of an hour. The normal speed of the minute hand is 60 minutes per hour, so the increase in speed is 1/4 divided by 60, which is equal to 0.0041667. Multiplying this by 100 gives us 0.41667%, which is approximately equal to 0.42%. Therefore, the percentage increase in speed is 0.42%, which is closest to 12.5%.

23. Examine the following statements:

Lady's finger is tastier than cabbage.
Cauliflower is tastier than lady's finger.
Cabbage is not tastier than peas.

The conclusion that can be drawn from these statements is that

Peas are as tasty as lady's finger.

Peas are as tasty as cauliflower and lady's finger.

Cabbage is the least tasty of the four vegetables.

Cauliflower is tastier than cabbage

Based on the given statements, it can be concluded that cabbage is the least tasty of the four vegetables. This can be inferred from the first statement that lady's finger is tastier than cabbage, and the second statement that cauliflower is tastier than lady's finger. Since there is no direct comparison between peas and cabbage, we cannot determine their relative tastiness. Therefore, the only conclusion that can be drawn is that cabbage is the least tasty among the four vegetables.

Explanation

Based on the given statements, it can be concluded that cabbage is the least tasty of the four vegetables. This can be inferred from the first statement that lady's finger is tastier than cabbage, and the second statement that cauliflower is tastier than lady's finger. Since there is no direct comparison between peas and cabbage, we cannot determine their relative tastiness. Therefore, the only conclusion that can be drawn is that cabbage is the least tasty among the four vegetables.

24. In a queue, Shama is 28th from the back while Twinkle is 25th from front and Sweety is just in the middle of the two. If there are 60 persons in the queue what position does Sweety occupy from the front?

30th

29th

28th

27th

Sweety is in the middle of Shama and Twinkle, which means there are 13 people in front of Sweety and 14 people behind Sweety. Since Twinkle is 25th from the front, Sweety would be 25 + 13 = 38th from the front. However, there are 60 people in the queue, so counting from the back, Sweety would be 60 - 38 + 1 = 23rd from the back. Since Shama is 28th from the back, Sweety would be 28 - 23 + 1 = 6th from the back. Therefore, Sweety occupies the 6th position from the back, which is the same as the 29th position from the front.

Explanation

Sweety is in the middle of Shama and Twinkle, which means there are 13 people in front of Sweety and 14 people behind Sweety. Since Twinkle is 25th from the front, Sweety would be 25 + 13 = 38th from the front. However, there are 60 people in the queue, so counting from the back, Sweety would be 60 - 38 + 1 = 23rd from the back. Since Shama is 28th from the back, Sweety would be 28 - 23 + 1 = 6th from the back. Therefore, Sweety occupies the 6th position from the back, which is the same as the 29th position from the front.

25. What is the key message conveyed by the above passage?

It is easier to create jobs for women than to reverse traditional gender stereotypes.

Women entrepreneurs would gain confidence through improved mobility

For women to successfully become entrepreneurs, a holistic training in entrepreneurial attitudes is needed.

Psychological counseling is a vital element in fostering the growth of the female gender.

All the given statements are correct. However, the key message should be the one that isthe most comprehensive.
Options (a), (b) and (d) address only individual elements of the issue in the passage. The key concern is the need for a comprehensive strategy to develop entrepreneurial attitudes. Hence, the answer is (c).

Explanation

All the given statements are correct. However, the key message should be the one that isthe most comprehensive.
Options (a), (b) and (d) address only individual elements of the issue in the passage. The key concern is the need for a comprehensive strategy to develop entrepreneurial attitudes. Hence, the answer is (c).

26. In order to qualify the examination, a minimum of 105 marks is must in each paper of GS-I, GS-II, GS-III and GS-IV. Based on the above criteria, who among the following has not qualified in the exam?

B

A

D

E

not-available-via-ai

Explanation

not-available-via-ai

27. Rohan has thrice as many sisters as he has brothers. Babita, Rohan's sister has as many sisters as she has brothers. If Rohan's and Babita are the children of Natwar, how many children Natwar has?

5

10

7

9

Babita has as many sisters as brothers. Conclusion 1 - This means if Babita has 1 brother, she has 1 sister. Rohan has thrice as many sisters as brothers. Conclusion 2 - the minimum number of sisters is 3 - From the above two conclusions, Rohan has 1 brother and 3 sisters. (5 siblings) Babita has two sisters and two brothers including Rohan. (5 siblings) Thus, Natwar has 5 children

Explanation

Babita has as many sisters as brothers. Conclusion 1 - This means if Babita has 1 brother, she has 1 sister. Rohan has thrice as many sisters as brothers. Conclusion 2 - the minimum number of sisters is 3 - From the above two conclusions, Rohan has 1 brother and 3 sisters. (5 siblings) Babita has two sisters and two brothers including Rohan. (5 siblings) Thus, Natwar has 5 children

28. When Abhishek was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Abhishek's brother is 6 years older than Abhishek and his mother is 3 years younger than his father, how old was Abhishek's sister when Abhishek was born?

10 years

14 years

9 years

7 years

LetAbhishek's age be x
Then, Abhishek's brother's age = x + 6,Abhishek's father's age = x + 6 + 32 = x + 38
Abhishek's Mother's age = x + 38 - 3 = x + 35
Abhishek's sister's age = x + 35 - 25 = x + 10Abhishek's sister's age at the time of birth of Abhishek = x + 10 – x years = 10 years

Explanation

LetAbhishek's age be x
Then, Abhishek's brother's age = x + 6,Abhishek's father's age = x + 6 + 32 = x + 38
Abhishek's Mother's age = x + 38 - 3 = x + 35
Abhishek's sister's age = x + 35 - 25 = x + 10Abhishek's sister's age at the time of birth of Abhishek = x + 10 – x years = 10 years

29. What was the amount with R at the end of the third round?

256

1152

576

512

From the given data we can infer:
After 4th round P Q R S have respectively 512 512 512 512 Before 4th round P Q R S have respectively 256 256 256 1280 Before 3rd round P Q R S have respectively 128 128 1152 640 Before 2nd round P Q R S have respectively 64 1088 576 320 Thus, before 1st round P Q R S have respectively 1056 544 288 160

Explanation

From the given data we can infer:
After 4th round P Q R S have respectively 512 512 512 512 Before 4th round P Q R S have respectively 256 256 256 1280 Before 3rd round P Q R S have respectively 128 128 1152 640 Before 2nd round P Q R S have respectively 64 1088 576 320 Thus, before 1st round P Q R S have respectively 1056 544 288 160

30. Which of the following is an apt summary for the above passage?

The passage explains that inertia can affect both the body and the mind. Physical inertia restricts bodily movements, while mental inertia prevents a meaningful mental response to events. This includes tragedies and exploitation, as inertia freezes energy and incapacitates the mind. Therefore, physical inertia stops the body from moving, and mental inertia freezes energy and stops the mind from responding meaningfully to events, even tragedies.

Explanation

The passage explains that inertia can affect both the body and the mind. Physical inertia restricts bodily movements, while mental inertia prevents a meaningful mental response to events. This includes tragedies and exploitation, as inertia freezes energy and incapacitates the mind. Therefore, physical inertia stops the body from moving, and mental inertia freezes energy and stops the mind from responding meaningfully to events, even tragedies.

31. Consider the following statements:

Universal schooling will significantly improve our manner of thinking.
We think we are more educated than we actually are.
An intellectual is less likely to be dogmatic in his views.

With reference to the passage, which of the statements is/are correct?

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Statement 1 is wrong since universal schooling can improve our manner of thinking only if it is provided in a well designed manner, not otherwise. Statement 2 follows from the very first sentence of the passage.
Dogmatic behaviour implies a rigid belief in a viewpoint, without any substance for the same-since an intellectual “believes only up to the evidence in hand and is always ready to concede that it may be wrong”, he is unlikely to be dogmatic-hence, statement 3 is correct.

Explanation

Statement 1 is wrong since universal schooling can improve our manner of thinking only if it is provided in a well designed manner, not otherwise. Statement 2 follows from the very first sentence of the passage.
Dogmatic behaviour implies a rigid belief in a viewpoint, without any substance for the same-since an intellectual “believes only up to the evidence in hand and is always ready to concede that it may be wrong”, he is unlikely to be dogmatic-hence, statement 3 is correct.

32. Who is just 2 year old?

Amit

Bunty

Chandan

Dinesh

The question is asking for the person who is just 2 years old. Out of the given options, only Bunty fits this criteria.

Explanation

The question is asking for the person who is just 2 years old. Out of the given options, only Bunty fits this criteria.

33. Based on the information provided in the above passage, it can be inferred that

The company is concerned about its reputation with its employees.

The company believes in fostering the spirit of dialogue without degenerating it into a position-based debate

The company has some inter-personnel problems in the past due to which it felt the need for these corporate satsangs.

All of the above

Is The Best As Inference As The Company Prefers To Interact With All Its Employees According To The Passage Keeping Aside The Designations According To The Lines "Designations Are Forgotten During These Meetings

Explanation

Is The Best As Inference As The Company Prefers To Interact With All Its Employees According To The Passage Keeping Aside The Designations According To The Lines "Designations Are Forgotten During These Meetings

34. 105, goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own condition for transportiong them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. So number of animals went in each trip are

42

28

35

15

Given 105 goats,140 donkeys,175 cows to find how many animals went in each trip ???
105 => 3*5*7
140=>4*5*7
175=> 5*5*7
by taking H.C.F => 7*5 =35
∴ 35 animals in single trip

Explanation

Given 105 goats,140 donkeys,175 cows to find how many animals went in each trip ???
105 => 3*5*7
140=>4*5*7
175=> 5*5*7
by taking H.C.F => 7*5 =35
∴ 35 animals in single trip

35. Three bus tickets from city P to Q and two tickets from city P to R cost Rs. 70 but two tickets from city P to Q and three tickets from city P to R cost Rs. 60. What are the fares for cities Q and R from P respectively?

Rs. 18, Rs. 8

Rs. 8, Rs. 18

Rs. 12, Rs. 10

Rs. 15, Rs. 5

LetRs. x be the fare of city Q from city P and Rs. y be the fare of city R from city P. Then, 3x + 2y = 70….(i) and
2x + 3y = 60….(ii)
Multiplying (i) by 2 and (ii) by 3 and subtracting we get, 5y = 40 or y = 8.
Putting y in (i) we get x = 18.
Therefore, fare from city Q to city P = Rs. 18 and fare from city R to P = Rs. 8

Explanation

LetRs. x be the fare of city Q from city P and Rs. y be the fare of city R from city P. Then, 3x + 2y = 70….(i) and
2x + 3y = 60….(ii)
Multiplying (i) by 2 and (ii) by 3 and subtracting we get, 5y = 40 or y = 8.
Putting y in (i) we get x = 18.
Therefore, fare from city Q to city P = Rs. 18 and fare from city R to P = Rs. 8

36. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

2.3 m

4.6

7.8 m

9.2 m

Angle = 60º and distance between wall and ladder= 4.6 m.
Length of ladder= 2 x distance between wall and ladder
= (2 x 4.6) m
= 9.2 m.

Explanation

Angle = 60º and distance between wall and ladder= 4.6 m.
Length of ladder= 2 x distance between wall and ladder
= (2 x 4.6) m
= 9.2 m.

37. The average of the squares of first 'n' natural numbers starting from 1 is 130. Then, what is average of the cubes of these first natural numbers?

780

520

1170

None of these

avg of square of first n natural nos is (n+1)(2n+1)/6=130
2n^2+3n+1=780
2n^2+3n-779=0
n=[-3+√(9+6232)]/2
n=38
sum of cube of first n natural nos. is ( n ( n +1)/2)2
put value of n
38*39*38*39/4
avg=sum/n
=(38*39*38*39)/4*38
=1900

Explanation

avg of square of first n natural nos is (n+1)(2n+1)/6=130
2n^2+3n+1=780
2n^2+3n-779=0
n=[-3+√(9+6232)]/2
n=38
sum of cube of first n natural nos. is ( n ( n +1)/2)2
put value of n
38*39*38*39/4
avg=sum/n
=(38*39*38*39)/4*38
=1900

38. What is the percentage of vegetarian students in class 12?

40

45

50

55

Percentage of vegetarian students in Class 12 = 32/80X100= 40%

Explanation

Percentage of vegetarian students in Class 12 = 32/80X100= 40%

39. The passage best supports the statement that

Important health concerns get overlooked when we focus exclusively on the low-fat versus low carb question.

Low-carbohydrate diets lead to significant and sustained weight loss.

Processed foods can lead to many adverse health problems including heart disease, cancer, diabetes, and obesity.

Both sentences in this passage support the idea that the emphasis on the low-carb/low-fat debate is misleading and might distract us from other important ideas. The other options are not supported by the passage.

Explanation

Both sentences in this passage support the idea that the emphasis on the low-carb/low-fat debate is misleading and might distract us from other important ideas. The other options are not supported by the passage.

40. A screw driver and a hammer currently have the same price. If the price of a screw driver rises by 5% and the price of hammer goes up by 3%, then how much more will it cost to buy 3 screw drivers and 3 hammers?

3%

4%

5%

8%

4%. No of screw driver and hammer don't matter
Soln for 32 to 35: Since Sachin had Amit just one year ago. Hence, Amit is child of Sachin and 1 year old. Dinesh is older than Chandan and Chandan is Older than child of Rahul. Hence,
1.Dinesh
2. Chandan
3.Rahul’s Child
4. Amit
⇒Bunty is the child of Rahul and Dinesh is the child of Dhoni because Dhoni’s child is the oldest. Hence Chandan will be the child of Virat.

Age
Child

Father

1 yr.
Amit

Sachin

2 yr.
Bunty

Rahul

3 yr.
Chanda

Virat

4 yr.
Dinesh

Dhoni

Explanation

4%. No of screw driver and hammer don't matter
Soln for 32 to 35: Since Sachin had Amit just one year ago. Hence, Amit is child of Sachin and 1 year old. Dinesh is older than Chandan and Chandan is Older than child of Rahul. Hence,
1.Dinesh
2. Chandan
3.Rahul’s Child
4. Amit
⇒Bunty is the child of Rahul and Dinesh is the child of Dhoni because Dhoni’s child is the oldest. Hence Chandan will be the child of Virat.

Age
Child

Father

1 yr.
Amit

Sachin

2 yr.
Bunty

Rahul

3 yr.
Chanda

Virat

4 yr.
Dinesh

Dhoni

41. Examine the statement given below. Statement : Many private sector banks have reduced interest rate on housing loans in comparison to public sector banks. The statement given above is followed by three courses of action numbered 1, 2 and 3. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically allow(s) for pursuing. Courses of action

A case should be raised by the public sector banks before the regulatory authority for investigation as they cannot allow such reduction.
Public sector banks must adopt such policy to remain in competition.
The public sector banks should advertise their special feature repeatedly so that they do not lose their future customers.

All follow

1 and 2 follow

1 and 3 follow

Either 2 or 3 follows

The statement suggests that private sector banks have reduced interest rates on housing loans compared to public sector banks. This indicates that public sector banks may need to take action to remain competitive. Course of action 2 suggests that public sector banks must adopt such a policy to remain in competition, which is a logical step to take. Course of action 3 suggests that public sector banks should advertise their special features repeatedly to prevent losing future customers, which is also a logical step to retain customers. Therefore, either course of action 2 or 3 follows.

Explanation

The statement suggests that private sector banks have reduced interest rates on housing loans compared to public sector banks. This indicates that public sector banks may need to take action to remain competitive. Course of action 2 suggests that public sector banks must adopt such a policy to remain in competition, which is a logical step to take. Course of action 3 suggests that public sector banks should advertise their special features repeatedly to prevent losing future customers, which is also a logical step to retain customers. Therefore, either course of action 2 or 3 follows.

42. One of the problems facing the food processing and agro-industry is the irregular supply of raw material. The producers of raw material are not getting a reasonable price. A course of Action:

The government should announce an attractive package to ensure a regular supply of raw material for the food processing industry.
The government should offer an attractive pricing mechanism to ensure regular supply of raw material for the food processing industry.

If only I follows.

If only II follows.

If either I or II follows

If neither I nor II follows

In order to sort out irregular supply of raw material due to low price, he best course of action is to offer attractive prices, so as to ensure regular supply. Hence, (b) is the correct option.

Explanation

In order to sort out irregular supply of raw material due to low price, he best course of action is to offer attractive prices, so as to ensure regular supply. Hence, (b) is the correct option.

43. Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is

18

22

42

43

According to Mr. X's definition, a number is considered 'not connected with 6' if it is not divisible by 6, if the sum of its digits is not 6, and if 6 is not one of the digits of the number. We need to find the number of integers from 1 to 60 (both inclusive) that satisfy this condition. We can observe that numbers like 6, 16, 26, 36, 46, and 56 are all connected with 6. Therefore, the numbers that are not connected with 6 are all the remaining numbers from 1 to 60, excluding these 6 numbers. Hence, the answer is 60 - 6 = 54. However, we need to exclude 6 from the count, as it is divisible by 6. Therefore, the final answer is 54 - 1 = 53.

Explanation

According to Mr. X's definition, a number is considered 'not connected with 6' if it is not divisible by 6, if the sum of its digits is not 6, and if 6 is not one of the digits of the number. We need to find the number of integers from 1 to 60 (both inclusive) that satisfy this condition. We can observe that numbers like 6, 16, 26, 36, 46, and 56 are all connected with 6. Therefore, the numbers that are not connected with 6 are all the remaining numbers from 1 to 60, excluding these 6 numbers. Hence, the answer is 60 - 6 = 54. However, we need to exclude 6 from the count, as it is divisible by 6. Therefore, the final answer is 54 - 1 = 53.

44. Which of the following is in accordance with the ideas contained in the passage? Choose the best option.

Therapists are equally concerned with money making and their patients well-being.

Reading published articles of reputed psychotherapists will hardly be beneficial.

Therapists can always treat mental illness without the use of prescription drugs.

not-available-via-ai

Explanation

not-available-via-ai

45. Which of the following statements would the author of this passage be most likely to believe?

The increased penalty alone is a significant motivation for most citizens to obey the law.

There are still too many inconsiderate citizens in the society.

Godmen should not be allowed to play with the emotions of the people.

Society should make an effort to teach citizens the reasons for its laws.

people are conscientious about the laws if they know the reason behind it one example evidence is provided

Explanation

people are conscientious about the laws if they know the reason behind it one example evidence is provided

46. If m = 51 m 52 m 53 m ........ m 100 and n = 101 m 102 m 103 m 104, then find the LCM of m and n.

10403mn

104!

10403 m

Mn

The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both numbers. In this case, we have two numbers, m and n.

To find the LCM of m and n, we need to find the prime factorization of both numbers.

For m, we have a product of consecutive numbers from 51 to 100. We can simplify this expression by canceling out common factors.

m = 51 × 52 × 53 × ........ × 100 = 2^49 × 3^33 × 5^19 × 7^13 × 11^9 × 13^7 × 17^5 × 19^4 × 23^3 × 29^2 × 31^2 × 37^2 × 41 × 43 × 47

For n, we have a product of consecutive numbers from 101 to 104. Again, we can simplify this expression.

n = 101 × 102 × 103 × 104 = 2^2 × 3 × 5 × 7 × 13 × 17 × 19 × 23 × 29 × 31 × 37 × 41 × 43 × 47 × 101

To find the LCM, we need to take the highest power of each prime factor that appears in either m or n.

Therefore, the LCM of m and n is 2^49 × 3^33 × 5^19 × 7^13 × 11^9 × 13^7 × 17^5 × 19^4 × 23^3 × 29^2 × 31^2 × 37^2 × 41 × 43 × 47 × 101, which can be simplified to 10403 m.

Explanation

The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both numbers. In this case, we have two numbers, m and n.

To find the LCM of m and n, we need to find the prime factorization of both numbers.

For m, we have a product of consecutive numbers from 51 to 100. We can simplify this expression by canceling out common factors.

m = 51 × 52 × 53 × ........ × 100 = 2^49 × 3^33 × 5^19 × 7^13 × 11^9 × 13^7 × 17^5 × 19^4 × 23^3 × 29^2 × 31^2 × 37^2 × 41 × 43 × 47

For n, we have a product of consecutive numbers from 101 to 104. Again, we can simplify this expression.

n = 101 × 102 × 103 × 104 = 2^2 × 3 × 5 × 7 × 13 × 17 × 19 × 23 × 29 × 31 × 37 × 41 × 43 × 47 × 101

To find the LCM, we need to take the highest power of each prime factor that appears in either m or n.

Therefore, the LCM of m and n is 2^49 × 3^33 × 5^19 × 7^13 × 11^9 × 13^7 × 17^5 × 19^4 × 23^3 × 29^2 × 31^2 × 37^2 × 41 × 43 × 47 × 101, which can be simplified to 10403 m.

47. A 4 letters word is to be formed from 10 alphabets. The probability that exactly 2 letters are repeated is

0.216

0.432

0.864

0.648

using combinations & total probability

Explanation

using combinations & total probability

48. Based on the information provided in the above passage, it can be inferred that

The company is concerned about its reputation with its employees.

The company believes in fostering the spirit of dialogue without degenerating it into a position-based debate

The company has some inter-personnel problems in the past due to which it felt the need for these corporate satsangs.

All of the above

Option b Is The Best As Inference As The Company Prefers To Interact With All Its Employees According To The Passage Keeping Aside The Designations According To The Lines "Designations Are Forgotten During These Meetings"

Explanation

Option b Is The Best As Inference As The Company Prefers To Interact With All Its Employees According To The Passage Keeping Aside The Designations According To The Lines "Designations Are Forgotten During These Meetings"

49. In any year, in January, 4 Wednesdays and 4 Sundays are there, then what will be the day on 1st January?

Monday

Thursday

Friday

Saturday

There are 31 days in January, hence from Sunday to
Wednesday in the first week dates will be from 4 to 7
because there are only 4 sundays and 4 wednesdays in
this month. Hence, 1st January will fall on Thursday.
Hence, correct otion is (b).

Explanation

There are 31 days in January, hence from Sunday to
Wednesday in the first week dates will be from 4 to 7
because there are only 4 sundays and 4 wednesdays in
this month. Hence, 1st January will fall on Thursday.
Hence, correct otion is (b).

50. Rampur having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m m 15 m m 6 m. The water of this tank will last for

2 days

3 days

4 days

5 days

Volume of cuboid=lenght× breadth ×height =20×15×6=1800m³
1m³=1000 litres
1800m³=1800000 litres
Water required by village =4000×150=600000 litres per day
No of days it will last=1800000÷600000 =3 days

Explanation

Volume of cuboid=lenght× breadth ×height =20×15×6=1800m³
1m³=1000 litres
1800m³=1800000 litres
Water required by village =4000×150=600000 litres per day
No of days it will last=1800000÷600000 =3 days

51. A candidate is required to answer 6 out of 10 questions which are divided into two groups each containing 5 questions. He is not permitted to attempt more than 4 from each group. In how many ways he can make up the choice?

300

200

150

55

Number of ways of choosing 6 from 10 = 10C6 = 210.Number of ways of attempting more than 4 from a group,= 2*5C5 *5C1=10.
⇒Required number of ways = 210 −10= 200

Explanation

Number of ways of choosing 6 from 10 = 10C6 = 210.Number of ways of attempting more than 4 from a group,= 2*5C5 *5C1=10.
⇒Required number of ways = 210 −10= 200

52. Why passage is suggesting that Indian media has been deviated from its primary role?

Not following its social duties.
Transnational media corporations ar overshadowing Indian media.
Not supervising the government functions anymore

Select the correct answer from the codes given below:

1 and 2 only

1 and 3 only

2 and 3 only

All 1, 2 and 3

In first paragraph it is written that democracy and democratic system can reach its true potiential when there is a wide participation of general mass. Thus, (a) is correct. Democratic system is not supposed to talk about media infactit’s vice-versa. Thus, (b) is incorrect, and option (c) is more idealistic. Hence, (a) is the correct option.

Explanation

In first paragraph it is written that democracy and democratic system can reach its true potiential when there is a wide participation of general mass. Thus, (a) is correct. Democratic system is not supposed to talk about media infactit’s vice-versa. Thus, (b) is incorrect, and option (c) is more idealistic. Hence, (a) is the correct option.

53. Which of the following is analogous to the argument above in terms of its logical features?

The correct answer is the advertisement analogy. Both arguments follow a similar logical structure of cause and effect. In the advertisement analogy, the premise is that if an advertisement has more than 25 words, it will not be read. The conclusion is that if an advertisement is not read, the product is not sold. Similarly, in the given argument, the premise is that if the city municipal corporation increases taxes on property by 1%, it will raise tax revenues. The conclusion is that the raised tax revenues can be used for garbage disposal management. Both arguments rely on a causal relationship between two events.

Explanation

The correct answer is the advertisement analogy. Both arguments follow a similar logical structure of cause and effect. In the advertisement analogy, the premise is that if an advertisement has more than 25 words, it will not be read. The conclusion is that if an advertisement is not read, the product is not sold. Similarly, in the given argument, the premise is that if the city municipal corporation increases taxes on property by 1%, it will raise tax revenues. The conclusion is that the raised tax revenues can be used for garbage disposal management. Both arguments rely on a causal relationship between two events.

54. There are 100 employees in the conference room in New Delhi. You note that 99% of them are managers.How many managers would need to leave the conference room in order to reduce the percentage of managers in the hall to 98%?

1

2

50

98

If 99% of the employees in the conference room are managers, then there are 99 managers out of 100 employees. To reduce the percentage of managers to 98%, the number of managers would need to be reduced to 98 out of 100 employees. Since there are currently 99 managers, only one manager would need to leave the conference room in order to achieve this. Therefore, the correct answer is 1.

Explanation

If 99% of the employees in the conference room are managers, then there are 99 managers out of 100 employees. To reduce the percentage of managers to 98%, the number of managers would need to be reduced to 98 out of 100 employees. Since there are currently 99 managers, only one manager would need to leave the conference room in order to achieve this. Therefore, the correct answer is 1.

55. Three statements are given below, followed by two conclusions. Assuming the statements to be true, identify the conclusion(s) that follow. Statements:

All machines are ire.
Some machines are wire.
No wire is current.

Conclusions:

Some machines are not current.
Some current can be machine

Select the correct answer using code:

1 only

2 only

Both 1 and 2

Neither 1 nor 2

Both conclusions 1 and 2 can be derived from the given statements. Conclusion 1 follows from the second statement, which states that "Some machines are wire." Since no wire is current according to the third statement, it can be concluded that some machines are not current. Conclusion 2 follows from the first and second statements, which state that "All machines are ire" and "Some machines are wire." This implies that there is a possibility that some current can be machine. Therefore, both conclusions are valid.

Explanation

Both conclusions 1 and 2 can be derived from the given statements. Conclusion 1 follows from the second statement, which states that "Some machines are wire." Since no wire is current according to the third statement, it can be concluded that some machines are not current. Conclusion 2 follows from the first and second statements, which state that "All machines are ire" and "Some machines are wire." This implies that there is a possibility that some current can be machine. Therefore, both conclusions are valid.

56. The last digit of the LCM of (32003 – 1)and (32003 + 1) is

8

9

4

6

The last digit of the LCM of (32003 - 1) and (32003 + 1) can be found by calculating the LCM of the two numbers. The number (32003 - 1) is equal to 32002 and the number (32003 + 1) is equal to 32004. The LCM of 32002 and 32004 is 32004. The last digit of 32004 is 4, therefore the answer is 4.

Explanation

The last digit of the LCM of (32003 - 1) and (32003 + 1) can be found by calculating the LCM of the two numbers. The number (32003 - 1) is equal to 32002 and the number (32003 + 1) is equal to 32004. The LCM of 32002 and 32004 is 32004. The last digit of 32004 is 4, therefore the answer is 4.

57. The above paragraph appears to be an attempt at

Defining Blue Ocean Strategy.

Developing the framework for Blue Ocean Strategy.

Reviewing an article or book on Blue Ocean Strategy.

Highlighting how Blue Ocean strategy leads to better returns.

From the first line we can infer that author is reviewing the article

Explanation

From the first line we can infer that author is reviewing the article

58. Which of the following if true, would seriously weaken the assertions of the airline officials?

Airline accidents tend to occur far more often during certain peak travel months

The publicity surrounding airline accidents is largely limited to the country in which the crash occurred

News organisations do not have any guidelines to help them decide how severe an accident is

Airplane accidents receive coverage by news sources only when the news sources find it advantageous to do so

Airline accidents tend to occur far more often during certain peak travel months. - This option suggests that accidents are more in during the peak months therefore weakens the argument

Explanation

Airline accidents tend to occur far more often during certain peak travel months. - This option suggests that accidents are more in during the peak months therefore weakens the argument

59. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then:

X = y + z

2x = y + z

X = 2y + 2z

None of these

Average of 6 numbers = x
=> Sum of 6 numbers = 6x
Average of the 3 numbers = y
=> Sum of these 3 numbers = 3y
Average of the remaining 3 numbers = z
=> Sum of the remaining 3 numbers = 3z
Now we know that 6x = 3y + 3z
=> 2x = y + z

Explanation

Average of 6 numbers = x
=> Sum of 6 numbers = 6x
Average of the 3 numbers = y
=> Sum of these 3 numbers = 3y
Average of the remaining 3 numbers = z
=> Sum of the remaining 3 numbers = 3z
Now we know that 6x = 3y + 3z
=> 2x = y + z

60. Who started with the lowest amount?

P

Q

R

S

not-available-via-ai

Explanation

not-available-via-ai

61. In class 12, twenty 25% of the vegetarian are male. What is the difference between number of female vegetarian and male non-vegetarian?

10

12

14

16

From the above table, Male vegetarians = 8 Female vegetarians = 24 So, their difference is 16.

Explanation

From the above table, Male vegetarians = 8 Female vegetarians = 24 So, their difference is 16.

62. What is the percentage of male students in Secondary Section?

40

45

50

55

From the above ,Percentage of male students in the secondary section = 288/640X100=45%

Explanation

From the above ,Percentage of male students in the secondary section = 288/640X100=45%

63. "Price is not the same thing as value. Suppose that on a day the price of everything viz., coal, bread, postage stamps, a day's labour, the rent of houses, etc. were to double. Prices then would certainly rise, but- values of all things except one would not."The writer wants to say that if prices of all things were doubled

The values of all things would remain constant.

The values of the things sold would be doubled.

The values of the things bought would be halved.

The value of money only would be halved.

Due to inflation the value of money only would be halved

Explanation

Due to inflation the value of money only would be halved

64. Kingfisher began a business with Rs. 65,000 and was joined later by Reliance with Rs. 32,500. After how many months did Reliance join, if the profits at the end of the year are divided in the ratio of 6:1?

4 months

5 months

6 months

8 months

6x = 12 months so 2x = 4 months; 12 months – 4 month = 8 months.

Explanation

6x = 12 months so 2x = 4 months; 12 months – 4 month = 8 months.

65. Which of the following can be concluded from the passage?

The Chinese government has seen its ageing and increasingly ill population as both a risk and an opportunity.

The Chinese pharmaceutical market is fragmented, with most companies selling generic drugs or therapeutic medicines.

Both (a) and (b)

Neither (a) nor (b)

The passage states that the pharmaceutical industry in China is a growing one as the population is ageing and increasingly ill, thereby making it the world's second largest pharmaceutical market. It also stresses on the fact that the Chinese government is aggressively trying to develop pharmaceutical companies. Thus, it is clear that the Chinese government has seen this factor as an opportunity. Also, the passage mentions that the growth of this sector is important for Chinese companies to be able to compete with companies from developed economies in China and abroad. Thus, it can be inferred that Chinese patients are dependent on foreign-based companies. The aggressive push given to Chinese companies by the government can also be seen as an acknowledgement of the fact that the Chinese government sees this as a risk and is helping its companies in order to mitigate it. Hence, conclusion (a) is valid.
\
The passage focuses on the overall Chinese pharmaceutical industry and not on specific parts such as generics or therapeutic drugs. Hence, conclusion b is invalid. Hence, the correct answer is option a.

Explanation

The passage states that the pharmaceutical industry in China is a growing one as the population is ageing and increasingly ill, thereby making it the world's second largest pharmaceutical market. It also stresses on the fact that the Chinese government is aggressively trying to develop pharmaceutical companies. Thus, it is clear that the Chinese government has seen this factor as an opportunity. Also, the passage mentions that the growth of this sector is important for Chinese companies to be able to compete with companies from developed economies in China and abroad. Thus, it can be inferred that Chinese patients are dependent on foreign-based companies. The aggressive push given to Chinese companies by the government can also be seen as an acknowledgement of the fact that the Chinese government sees this as a risk and is helping its companies in order to mitigate it. Hence, conclusion (a) is valid.
\
The passage focuses on the overall Chinese pharmaceutical industry and not on specific parts such as generics or therapeutic drugs. Hence, conclusion b is invalid. Hence, the correct answer is option a.

66. There are 100 employees in the conference room in New Delhi. You note that 99% of them are managers. How many managers would need to leave the conference room in order to reduce the percentage of managers in the hall to 98%?

1

2

50

98

There are 100 employees and 99% of them are managers implying there are 99 managers.Suppose we need to remove x managers to reduce the percentage to 98%. Now numbersof managers in the room are 99-x and total number of employees are 100-x. As the percentage of mangers is 98%, we get
(99-x)/(100-x) = 98/100
=> 9900 - 100x = 9800 - 98x
=> 2x = 100
=> x = 50.
Solving this simple equation gives x = 50

Explanation

There are 100 employees and 99% of them are managers implying there are 99 managers.Suppose we need to remove x managers to reduce the percentage to 98%. Now numbersof managers in the room are 99-x and total number of employees are 100-x. As the percentage of mangers is 98%, we get
(99-x)/(100-x) = 98/100
=> 9900 - 100x = 9800 - 98x
=> 2x = 100
=> x = 50.
Solving this simple equation gives x = 50

67. Somebody has asked Auranzeb about his age he said "My age is neither a perfect square nor a perfect cube". My age is either less then 700 years or more than 800 years. What is Aurangzeb age if it is known that Aurangzeb always lies?

656 years

784 years

729 years

Cannot be determined.

Since, he always speaks lies therefore his age is a perfect square and perfect cube as well and his age should be between 700 and 800. Now, 729 should be the right answer as 729 is perfect square (27×27) and perfect cube (9×9×9) as well. Hence, (c) is the correct option.

Explanation

Since, he always speaks lies therefore his age is a perfect square and perfect cube as well and his age should be between 700 and 800. Now, 729 should be the right answer as 729 is perfect square (27×27) and perfect cube (9×9×9) as well. Hence, (c) is the correct option.

68. On a certain sum of money the compound interest for 2 years is 1134 and the simple interest for the same period of time is Rs. 1080. What is the rate of interest per annum?

8%

9%

10%

12%

On same sum at same r% p.a. difference between CI & SI after two years CI – SI = I × R/ 100 (I is SI for 1 year)
1134 – 1080 = 540 × R/ 100 r = 10%

Explanation

On same sum at same r% p.a. difference between CI & SI after two years CI – SI = I × R/ 100 (I is SI for 1 year)
1134 – 1080 = 540 × R/ 100 r = 10%

69. Varanasi bound Vande Bharat Express has a capacity of 500 seats of which 10% are in the Executive class and the rest chair cars. During one journey, the train was booked to 85% of itscapacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?

78

73

72

None of these

Total seats = 500
seats in executive class E = 10% of 500 = 50
seats in chairs class C = 500-50 = 450
Total number of Booked seats in train = 85% = 85*500/100 = 425 = B
this includes some booked seats in both classes.
number of executive class seats booked = 96% = 96/100 * E = 96* 50/100 = 48
So number of chairs booked = B - 48 = 425 - 48 = 377
So number of chairs empty = C - 377 = 450 - 377 = 73
% of chairs empyt during journey = 73 * 100/450 = 16.22 %

Explanation

Total seats = 500
seats in executive class E = 10% of 500 = 50
seats in chairs class C = 500-50 = 450
Total number of Booked seats in train = 85% = 85*500/100 = 425 = B
this includes some booked seats in both classes.
number of executive class seats booked = 96% = 96/100 * E = 96* 50/100 = 48
So number of chairs booked = B - 48 = 425 - 48 = 377
So number of chairs empty = C - 377 = 450 - 377 = 73
% of chairs empyt during journey = 73 * 100/450 = 16.22 %

70. Based on the above statement, which one of the following inferences is correct?

Nuclear power will be used in the Third World War.

There will be no civilization left after the Third World War.

The growth of nuclear power will destroy civilization in the long run.

The Third World War will not take place.

The correct answer is "Nuclear power will be used in the Third World War." This inference can be made based on the statement given, as it implies that nuclear power will play a role in the future conflict.

Explanation

The correct answer is "Nuclear power will be used in the Third World War." This inference can be made based on the statement given, as it implies that nuclear power will play a role in the future conflict.

71. Which among the following is the most logical and rational inference that can be made from the passage?

Laying down railway lines is necessary to improve national connectivity.

Solar power is not cost effective

Airports can only be constructed after taking loans from a bank

The most important characteristic of an infrastructure project is that it should be Bankable.

Options (a) and (d) are incorrect as they have not been mentioned in the passage.
Option (b) can be inferred as "other than solar" all other power infrastructure projects are "bankable".
Option (c) cannot be inferred as nowhere in the passage do they define other characteristics of infrastructure projects.

Explanation

Options (a) and (d) are incorrect as they have not been mentioned in the passage.
Option (b) can be inferred as "other than solar" all other power infrastructure projects are "bankable".
Option (c) cannot be inferred as nowhere in the passage do they define other characteristics of infrastructure projects.

72. Which one of the following is the best justification of the above statement?

In the realisation that the government can be brought to book in a court of law

In identifying a man as a political unit in a way which distinguishes him from other citizens

In a decentralized society wherein the basic needs of men can find satisfaction

In the understanding that liberty and restraints are Complementary

The best justification for the above statement is that it highlights the importance of holding the government accountable through the legal system. This suggests that the government is not above the law and can be held responsible for its actions. This concept of government accountability is crucial in a democratic society where the rule of law prevails. By recognizing that the government can be brought to book in a court of law, it reinforces the idea that no one, including the government, is exempt from legal consequences.

Explanation

The best justification for the above statement is that it highlights the importance of holding the government accountable through the legal system. This suggests that the government is not above the law and can be held responsible for its actions. This concept of government accountability is crucial in a democratic society where the rule of law prevails. By recognizing that the government can be brought to book in a court of law, it reinforces the idea that no one, including the government, is exempt from legal consequences.

73. A woman sells to the first customer half her stock of apples and half an apple extra; to the second customer, she gives half her remaining stock and half an apple extra, and so also to a third and then to a fourth customer. She find that she has now 15 apples left. How many she had at first?

250

254

255

375

Number of apples left with woman = 15.
Fourth customer: (Double of quantity she currently has, plus half an apple) = 30.5
Third customer: (Half an apple and double of stock given to third customer) = 62
Second customer: (Half an apple, plus double of stock) = 124.5
First customer: (Half an apple, plus double of stock) = 250.
So, she initially had 250 apples

Explanation

Number of apples left with woman = 15.
Fourth customer: (Double of quantity she currently has, plus half an apple) = 30.5
Third customer: (Half an apple and double of stock given to third customer) = 62
Second customer: (Half an apple, plus double of stock) = 124.5
First customer: (Half an apple, plus double of stock) = 250.
So, she initially had 250 apples

74. "Made in China 2025" aims to:

Counter the reliance of China on foreign drug imports

Steadily increase size of the Chinese pharmaceutical market.

Both (a) and (b)

Neither (a) nor (b)

The passage states the Chinese pharmaceutical market is currently the second largest in the world (in terms of consumers). Also, the assertion of the passage that the goal of the “Made in China 2025” programme is to ensure that Chinese companies grow and beat foreign companies in terms of market share implies that the goal is to reduce reliance on imports. Hence, statement a is valid.
Though the Made in China 2025 mission aims to help Chinese pharmaceutical companies compete and beat foreign companies, this is to be done by taking away their market share rather than by developing the market. Hence, the aim of Made in China 2025 cannot be said to be increase in market size of the pharmaceutical market. Hence, statement b is invalid. Hence, the correct answer is option (a).

Explanation

The passage states the Chinese pharmaceutical market is currently the second largest in the world (in terms of consumers). Also, the assertion of the passage that the goal of the “Made in China 2025” programme is to ensure that Chinese companies grow and beat foreign companies in terms of market share implies that the goal is to reduce reliance on imports. Hence, statement a is valid.
Though the Made in China 2025 mission aims to help Chinese pharmaceutical companies compete and beat foreign companies, this is to be done by taking away their market share rather than by developing the market. Hence, the aim of Made in China 2025 cannot be said to be increase in market size of the pharmaceutical market. Hence, statement b is invalid. Hence, the correct answer is option (a).

75. What is the profession of A?

Professor

Engineer

Interior decorator

Cannot be determined

not-available-via-ai

Explanation

not-available-via-ai

76. Which among the following is the most logical corollary to the passage?

Virtues have not been seen as something accidental but rather something purposeful.

Possessing virtues ensures that one practices good and fine courses of action.

Certain organizations disseminate moral perfection in society.

Organizations propagating virtues are meant to cultivate hostility.

The passage talks about the importance of virtues in our lives and how there exist some organizations that promote virtues to improve the lives of people. Option (c) is in line withthis explanation. Option (a) with "accidental" is out of the context of the passage. Option (b) may be a fact but is not a corollary as it misses out the point about"organizations". Option (d) with "hostility" is contradictory to what the passage states. Hence, the correct answer is option c.

Explanation

The passage talks about the importance of virtues in our lives and how there exist some organizations that promote virtues to improve the lives of people. Option (c) is in line withthis explanation. Option (a) with "accidental" is out of the context of the passage. Option (b) may be a fact but is not a corollary as it misses out the point about"organizations". Option (d) with "hostility" is contradictory to what the passage states. Hence, the correct answer is option c.

77. Who is the wife of D?

E

F

A

B

The wife of D is B.

Explanation

The wife of D is B.

78. Pointing to a photograph, Mandeep said, "Her mother's brother is the only son of my mother's father." How is Mandeep related to the lady?

Herself

Sister

Brother

Either (a) or (c)

The girl is Ram’s sister or cousin:
Ram’s mother’s father is Ram’s (maternal) grandfather
The grandfather’s only son is Ram’s only maternal uncle
The uncle’s sister is Ram’s mother or aunt
The mother/aunt’s daughter is Ram’s sister or cousin

Explanation

The girl is Ram’s sister or cousin:
Ram’s mother’s father is Ram’s (maternal) grandfather
The grandfather’s only son is Ram’s only maternal uncle
The uncle’s sister is Ram’s mother or aunt
The mother/aunt’s daughter is Ram’s sister or cousin

79. How can media strengthen the roots of democracy

By participating directly in the daily chores of government

By making people aware about their democratic duties.

By making people educate about range of democratic issues.

By making people aware how government works and what are their rights.

As per second paragraph India media disregarded their obligation for social responsibility and post liberalisation transnational media corporations pose new challenges for India media. Thus, (1) and (2) are correct. (3) is incorrect as media is not supposed to supervise government functions. Hence, (a) is the correct option.

Explanation

As per second paragraph India media disregarded their obligation for social responsibility and post liberalisation transnational media corporations pose new challenges for India media. Thus, (1) and (2) are correct. (3) is incorrect as media is not supposed to supervise government functions. Hence, (a) is the correct option.

80. Hari said to Sanjay, "That boy playing with football is younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Hari?

Uncle

Elder brother

Younger brother

Cousin

Father's wife → mother. Hence, the daughter of the mother means sister and sister's younger brother means brother. Therefore, the boy is the brother of Hari.

Explanation

Father's wife → mother. Hence, the daughter of the mother means sister and sister's younger brother means brother. Therefore, the boy is the brother of Hari.