Mindtree Assessment - 4 - Quiz & Trivia

1) If HARD is coded as 1357 and SOFT is coded as 2468, what will 21448 stand for?

SHAFT

SHORT

SHOOT

SHART

The given question follows a pattern where each letter in the word is assigned a number based on its position in the word. In the word "HARD", H is in the 1st position, A is in the 2nd position, R is in the 3rd position, and D is in the 4th position. Similarly, in the word "SOFT", S is in the 1st position, O is in the 2nd position, F is in the 3rd position, and T is in the 4th position. Applying the same pattern to the number 21448, we can determine that it corresponds to the word "SHOOT" where S is in the 1st position, H is in the 2nd position, O is in the 3rd position, and T is in the 4th position.

Explanation

The given question follows a pattern where each letter in the word is assigned a number based on its position in the word. In the word "HARD", H is in the 1st position, A is in the 2nd position, R is in the 3rd position, and D is in the 4th position. Similarly, in the word "SOFT", S is in the 1st position, O is in the 2nd position, F is in the 3rd position, and T is in the 4th position. Applying the same pattern to the number 21448, we can determine that it corresponds to the word "SHOOT" where S is in the 1st position, H is in the 2nd position, O is in the 3rd position, and T is in the 4th position.

2) Find the missing pattern - BOQD: ERTG:: ANPC : ?

DQSF

FSHU

SHFU

DSQF

The given question follows a pattern where each letter in the first set is replaced by the corresponding letter in the second set, but in reverse order. In the first set, B is replaced by E, O by R, Q by T, and D by G. Following the same pattern, A in the second set will be replaced by D, N by Q, P by S, and C by F. Therefore, the missing pattern is DQSF.

Explanation

The given question follows a pattern where each letter in the first set is replaced by the corresponding letter in the second set, but in reverse order. In the first set, B is replaced by E, O by R, Q by T, and D by G. Following the same pattern, A in the second set will be replaced by D, N by Q, P by S, and C by F. Therefore, the missing pattern is DQSF.

3) If a coin is tossed twice, what is the probability of getting at least one tail

0.75

0.70

0.85

0.95

The probability of getting at least one tail when a coin is tossed twice can be calculated by finding the probability of getting no tails and subtracting it from 1. The probability of getting no tails in two tosses is (1/2) * (1/2) = 1/4. Therefore, the probability of getting at least one tail is 1 - 1/4 = 3/4 = 0.75.

Explanation

The probability of getting at least one tail when a coin is tossed twice can be calculated by finding the probability of getting no tails and subtracting it from 1. The probability of getting no tails in two tosses is (1/2) * (1/2) = 1/4. Therefore, the probability of getting at least one tail is 1 - 1/4 = 3/4 = 0.75.

4) Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1. Find the middle number.

6

18

12

All of these

The correct answer is "All of these" because any of the three consecutive whole numbers could satisfy the given condition. Let's consider the numbers 6, 7, and 8 as an example. The square of the middle number (7^2 = 49) is greater than the product of the other two numbers (6 * 8 = 48) by 1. Similarly, if we consider the numbers 18, 19, and 20, the condition is still satisfied. Therefore, there is more than one middle number that satisfies the given condition, hence "All of these" is the correct answer.

Explanation

The correct answer is "All of these" because any of the three consecutive whole numbers could satisfy the given condition. Let's consider the numbers 6, 7, and 8 as an example. The square of the middle number (7^2 = 49) is greater than the product of the other two numbers (6 * 8 = 48) by 1. Similarly, if we consider the numbers 18, 19, and 20, the condition is still satisfied. Therefore, there is more than one middle number that satisfies the given condition, hence "All of these" is the correct answer.

5) Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking?

His Uncle

His Cousin

His Son

His Nephew

None of these

Harsh said, "His mother is the wife of my father's son." This means that the person in the portrait is the son of Harsh's father. Harsh also said, "Brothers and sisters I have none." This means that Harsh does not have any siblings. Therefore, the person in the portrait must be Harsh's son.

Explanation

Harsh said, "His mother is the wife of my father's son." This means that the person in the portrait is the son of Harsh's father. Harsh also said, "Brothers and sisters I have none." This means that Harsh does not have any siblings. Therefore, the person in the portrait must be Harsh's son.

6) Rahul is not wearing purple and Aman is not wearing black. Rahul and Sahel wear different colors. Avi alone wears green. What is Sahel's color, if all four of them are wearing different colors?

Green

Black

Purple

Can't Say

The information given in the question does not provide any direct information about Sahel's color. We know that Rahul is not wearing purple and Aman is not wearing black, but we do not have any information about Sahel's color. Therefore, it is not possible to determine Sahel's color based on the given information.

Explanation

The information given in the question does not provide any direct information about Sahel's color. We know that Rahul is not wearing purple and Aman is not wearing black, but we do not have any information about Sahel's color. Therefore, it is not possible to determine Sahel's color based on the given information.

7) Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is

2:3

2:1

4:3

3:2

The ratio of their speeds can be determined by the ratio of the time taken to reach their destinations. The train from P to Q takes 9 hours to reach its destination while the train from Q to P takes 16 hours. Therefore, the ratio of their speeds is 9:16. Simplifying this ratio gives us 4:7.

Explanation

The ratio of their speeds can be determined by the ratio of the time taken to reach their destinations. The train from P to Q takes 9 hours to reach its destination while the train from Q to P takes 16 hours. Therefore, the ratio of their speeds is 9:16. Simplifying this ratio gives us 4:7.

8) In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?

64

32

48

None of these

The word 'JUDGE' has 5 letters, out of which 2 are vowels (U and E). When the vowels are always together, we can consider them as a single unit. Therefore, we have 4 units to arrange (J, D, G, and UE). The number of ways to arrange these 4 units is 4! = 24. However, within the vowels (UE), there are 2 letters that can be arranged in 2! = 2 ways. Therefore, the total number of arrangements is 24 * 2 = 48.

Explanation

The word 'JUDGE' has 5 letters, out of which 2 are vowels (U and E). When the vowels are always together, we can consider them as a single unit. Therefore, we have 4 units to arrange (J, D, G, and UE). The number of ways to arrange these 4 units is 4! = 24. However, within the vowels (UE), there are 2 letters that can be arranged in 2! = 2 ways. Therefore, the total number of arrangements is 24 * 2 = 48.

9) Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

6 years

5 years

4 years

3 years

Sobha's father was 38 years old when she was born, and her mother was 36 years old when her brother, who is four years younger than Sobha, was born. This means that the age difference between Sobha's parents is 2 years (38 - 36). Since her brother is four years younger than her, the age difference between her parents and her brother is 6 years. Therefore, the correct answer is 6 years.

Explanation

Sobha's father was 38 years old when she was born, and her mother was 36 years old when her brother, who is four years younger than Sobha, was born. This means that the age difference between Sobha's parents is 2 years (38 - 36). Since her brother is four years younger than her, the age difference between her parents and her brother is 6 years. Therefore, the correct answer is 6 years.

10) Statement: Should India develop a national water grid including all rivers of the country ? Arguments: I. No, it is not feasible because we do not have technological knowledge. II. Yes, because where there is shortage of water ,it can be helped by channelized water flowing.

Only argument I is strong.

Only argument II is strong.

Either I or II is strong.

Neither I nor II is strong.

Both I and II are strong.

The correct answer is "Only argument II is strong." This is because argument II provides a valid reason for developing a national water grid in India. It states that a national water grid can help areas facing water shortage by channelizing water flow. However, argument I is not strong as it suggests that it is not feasible due to a lack of technological knowledge, which is not supported by any evidence or reasoning.

Explanation

The correct answer is "Only argument II is strong." This is because argument II provides a valid reason for developing a national water grid in India. It states that a national water grid can help areas facing water shortage by channelizing water flow. However, argument I is not strong as it suggests that it is not feasible due to a lack of technological knowledge, which is not supported by any evidence or reasoning.

11) If three numbers are in the ratio of 1 : 2 : 3 and half the sum is 18, then the ratio of squares of the numbers is

6:12:13

1:2:4

36:144:324

None of these

The given question states that three numbers are in the ratio of 1:2:3. Let's assume the numbers to be x, 2x, and 3x. It is given that half the sum of these numbers is 18. Therefore, (x + 2x + 3x)/2 = 18. Solving this equation, we get x = 6. Hence, the three numbers are 6, 12, and 18. The ratio of the squares of these numbers is 36:144:324, which matches the correct answer.

Explanation

The given question states that three numbers are in the ratio of 1:2:3. Let's assume the numbers to be x, 2x, and 3x. It is given that half the sum of these numbers is 18. Therefore, (x + 2x + 3x)/2 = 18. Solving this equation, we get x = 6. Hence, the three numbers are 6, 12, and 18. The ratio of the squares of these numbers is 36:144:324, which matches the correct answer.

12) Integer x = 40, y = 35, z = 20, w = 10 Comment about the output of the following two statements: print x * y / z - w print x * y / (z - w)

Differ by 80

Same

Differ by 50

Differ by 160

The output of the first statement, "print x * y / z - w", is calculated as (40 * 35 / 20) - 10 = 70 - 10 = 60. The output of the second statement, "print x * y / (z - w)", is calculated as 40 * 35 / (20 - 10) = 40 * 35 / 10 = 140. Therefore, the two outputs differ by 80.

Explanation

The output of the first statement, "print x * y / z - w", is calculated as (40 * 35 / 20) - 10 = 70 - 10 = 60. The output of the second statement, "print x * y / (z - w)", is calculated as 40 * 35 / (20 - 10) = 40 * 35 / 10 = 140. Therefore, the two outputs differ by 80.

13) Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?

30

45

60

80

Since bucket P has thrice the capacity of bucket Q, it means that for every turn of bucket Q, bucket P will fill 3 times as much. If it takes 80 turns for bucket P to fill the drum, it means that bucket Q will take 80 * 3 = 240 turns to fill the drum. Therefore, if both buckets P and Q turn together, they will take a total of 80 + 240 = 320 turns to fill the empty drum. However, since the question asks for how many turns it will take for both buckets P and Q, it means that we need to divide the total turns by 2, resulting in 320 / 2 = 160 turns. Therefore, the correct answer is 160.

Explanation

Since bucket P has thrice the capacity of bucket Q, it means that for every turn of bucket Q, bucket P will fill 3 times as much. If it takes 80 turns for bucket P to fill the drum, it means that bucket Q will take 80 * 3 = 240 turns to fill the drum. Therefore, if both buckets P and Q turn together, they will take a total of 80 + 240 = 320 turns to fill the empty drum. However, since the question asks for how many turns it will take for both buckets P and Q, it means that we need to divide the total turns by 2, resulting in 320 / 2 = 160 turns. Therefore, the correct answer is 160.

14) When 20342 and 20797 are divided by a divisor, the remainder obtained happens to be the same. Which of the following can be the divisor?

90

91

78

95

When two numbers have the same remainder when divided by a divisor, it means that the difference between the two numbers is divisible by that divisor. In this case, the difference between 20342 and 20797 is 455. Since 455 is divisible by 91, it means that both 20342 and 20797 will have the same remainder when divided by 91. Therefore, 91 can be the divisor in this scenario.

Explanation

When two numbers have the same remainder when divided by a divisor, it means that the difference between the two numbers is divisible by that divisor. In this case, the difference between 20342 and 20797 is 455. Since 455 is divisible by 91, it means that both 20342 and 20797 will have the same remainder when divided by 91. Therefore, 91 can be the divisor in this scenario.

15) Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is

50 sec

58 sec

24 sec

22 sec

The time taken by the slower train to pass the driver of the faster one can be calculated by considering the relative speed between the two trains. The relative speed is the sum of their individual speeds, which in this case is 45 km/hr + 30 km/hr = 75 km/hr.

To convert this speed to meters per second, we divide by 3.6: 75 km/hr ÷ 3.6 = 20.83 m/s.

The distance that the slower train needs to cover to pass the driver of the faster one is equal to the length of the faster train, which is 500 m.

Using the formula time = distance ÷ speed, we can calculate the time taken: 500 m ÷ 20.83 m/s = 24 seconds.

Explanation

The time taken by the slower train to pass the driver of the faster one can be calculated by considering the relative speed between the two trains. The relative speed is the sum of their individual speeds, which in this case is 45 km/hr + 30 km/hr = 75 km/hr.

To convert this speed to meters per second, we divide by 3.6: 75 km/hr ÷ 3.6 = 20.83 m/s.

The distance that the slower train needs to cover to pass the driver of the faster one is equal to the length of the faster train, which is 500 m.

Using the formula time = distance ÷ speed, we can calculate the time taken: 500 m ÷ 20.83 m/s = 24 seconds.

16) A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?

20 years

18 years

14 years

22 years

The father's age at the time of the son's birth was equal to the son's current age. If the father is currently 38 years old, then the son's current age is also 38. Therefore, five years ago, the son would have been 38 - 5 = 33 years old.

Explanation

The father's age at the time of the son's birth was equal to the son's current age. If the father is currently 38 years old, then the son's current age is also 38. Therefore, five years ago, the son would have been 38 - 5 = 33 years old.

17) A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?

64

128

32

None of these

To find the number of ways to draw 3 balls from the bag, we need to consider two cases: when exactly one black ball is drawn and when exactly two black balls are drawn.

Case 1: Exactly one black ball is drawn
There are 3 ways to choose which black ball to draw. After that, we need to choose 2 more balls from the remaining 8 balls (2 white, 2 black, and 4 red). This can be done in 8 choose 2 ways, which is 28. So, in this case, there are 3 x 28 = 84 ways.

Case 2: Exactly two black balls are drawn
There are 3 ways to choose which two black balls to draw. After that, we need to choose 1 more ball from the remaining 8 balls. This can be done in 8 choose 1 ways, which is 8. So, in this case, there are 3 x 8 = 24 ways.

Adding the number of ways from both cases, we get 84 + 24 = 108 ways. However, this count includes the case where all three balls are black, which is not allowed. So, we need to subtract 1 from the count.

Therefore, the total number of ways to draw 3 balls from the bag, with at least one black ball, is 108 - 1 = 107.

Explanation

To find the number of ways to draw 3 balls from the bag, we need to consider two cases: when exactly one black ball is drawn and when exactly two black balls are drawn.

Case 1: Exactly one black ball is drawn
There are 3 ways to choose which black ball to draw. After that, we need to choose 2 more balls from the remaining 8 balls (2 white, 2 black, and 4 red). This can be done in 8 choose 2 ways, which is 28. So, in this case, there are 3 x 28 = 84 ways.

Case 2: Exactly two black balls are drawn
There are 3 ways to choose which two black balls to draw. After that, we need to choose 1 more ball from the remaining 8 balls. This can be done in 8 choose 1 ways, which is 8. So, in this case, there are 3 x 8 = 24 ways.

Adding the number of ways from both cases, we get 84 + 24 = 108 ways. However, this count includes the case where all three balls are black, which is not allowed. So, we need to subtract 1 from the count.

Therefore, the total number of ways to draw 3 balls from the bag, with at least one black ball, is 108 - 1 = 107.

18) Statement: The chairman of the car company announced in the meeting that all trials of its first product, the new car model 'M', are over and company plans to launch its car in the marked after six months. Courses of action: I. The network of dealers is to be finalized and all legal, financial and other matters in this connection will have to be finalized shortly. II. The company will have to make plans for products other than the car. III. The Material, managerial and other resources will have to be in fine tune to maintain production schedule.

I and III only

Only I

Only II

All the three

None of these

The announcement of the chairman indicates that the company is planning to launch its new car model in the market after six months. Therefore, it is necessary for the company to finalize the network of dealers and handle all legal, financial, and other matters related to it (Course of action I). Additionally, to maintain the production schedule and successfully launch the car, the company needs to ensure that the material, managerial, and other resources are in fine tune (Course of action III). However, there is no indication in the statement that the company needs to make plans for products other than the car (Course of action II). Therefore, the correct answer is I and III only.

Explanation

The announcement of the chairman indicates that the company is planning to launch its new car model in the market after six months. Therefore, it is necessary for the company to finalize the network of dealers and handle all legal, financial, and other matters related to it (Course of action I). Additionally, to maintain the production schedule and successfully launch the car, the company needs to ensure that the material, managerial, and other resources are in fine tune (Course of action III). However, there is no indication in the statement that the company needs to make plans for products other than the car (Course of action II). Therefore, the correct answer is I and III only.

19) Find the odd man out. 30, -5, -45, -90, -145, -195, -255

-5

-145

-255

-195

In the given sequence, all the numbers are decreasing by a certain pattern. Starting from 30, each subsequent number is obtained by subtracting a specific value. However, -145 does not follow this pattern. It should have been -200 according to the pattern. Therefore, -145 is the odd man out in this sequence.

Explanation

In the given sequence, all the numbers are decreasing by a certain pattern. Starting from 30, each subsequent number is obtained by subtracting a specific value. However, -145 does not follow this pattern. It should have been -200 according to the pattern. Therefore, -145 is the odd man out in this sequence.

20) If A # B means A is father of B; A $ B means A is mother of B, A @ B means A is sister of B, then how is B related to X in X $ K # A @ B?

Grandson

Grand-daughter

Nephew

Data Inadequate

not-available-via-ai

Explanation

not-available-via-ai

21) Statement: The district administration has agreed to provide necessary infrastructural facilities to the proposed NRI-funded Trust's project of supply of clean water to city 'Z'. Courses of action: I. The district administration should provide necessary land to the trust by completing due formalities. II. The district administration should facilitate obtaining electricity and other permission to the trust.

Only course of action I follows.

Only course of action II follows.

Either course of action I or II follows.

Neither course of action I nor II follows.

Both courses of action follows.

Both courses of action follow because they both suggest actions that the district administration should take in order to provide the necessary infrastructural facilities to the proposed NRI-funded Trust's project. Course of action I suggests that the district administration should provide necessary land to the trust by completing due formalities, which is essential for the project. Course of action II suggests that the district administration should facilitate obtaining electricity and other permission to the trust, which is also necessary for the project to be successful. Therefore, both actions are required to fulfill the objective of providing the necessary infrastructural facilities.

Explanation

Both courses of action follow because they both suggest actions that the district administration should take in order to provide the necessary infrastructural facilities to the proposed NRI-funded Trust's project. Course of action I suggests that the district administration should provide necessary land to the trust by completing due formalities, which is essential for the project. Course of action II suggests that the district administration should facilitate obtaining electricity and other permission to the trust, which is also necessary for the project to be successful. Therefore, both actions are required to fulfill the objective of providing the necessary infrastructural facilities.

22) A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12, then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants?

485

605

725

845

None of these

The gardener plants 845 trees. This can be determined by finding the least common multiple (LCM) of the numbers 6, 8, 10, and 12, which is 120. Since five trees are left unplanted when using rows of 6, 8, 10, or 12, the number of trees must be a multiple of 120 plus 5. The only option that satisfies this condition is 845.

Explanation

The gardener plants 845 trees. This can be determined by finding the least common multiple (LCM) of the numbers 6, 8, 10, and 12, which is 120. Since five trees are left unplanted when using rows of 6, 8, 10, or 12, the number of trees must be a multiple of 120 plus 5. The only option that satisfies this condition is 845.

23) The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.(in rupess)

1100

200

2200

Data Inadequate

Let's assume the original amount of the bill is x rupees.

The first discount of 35% would be (35/100)*x = 0.35x rupees.

The two successive discounts of 20% and 20% would be (20/100)*x = 0.2x rupees each.

So, the total discount from the two successive discounts would be 0.2x + 0.2x = 0.4x rupees.

According to the question, the difference between the discount of 35% and the two successive discounts of 20% and 20% is 22 rupees.

Therefore, we can write the equation as 0.35x - 0.4x = 22.

Simplifying the equation, we get -0.05x = 22.

Dividing both sides by -0.05, we get x = 440.

Hence, the amount of the bill is 440 rupees.

Since 440 rupees is not one of the answer choices, the correct answer must be "Data Inadequate".

Explanation

Let's assume the original amount of the bill is x rupees.

The first discount of 35% would be (35/100)*x = 0.35x rupees.

The two successive discounts of 20% and 20% would be (20/100)*x = 0.2x rupees each.

So, the total discount from the two successive discounts would be 0.2x + 0.2x = 0.4x rupees.

According to the question, the difference between the discount of 35% and the two successive discounts of 20% and 20% is 22 rupees.

Therefore, we can write the equation as 0.35x - 0.4x = 22.

Simplifying the equation, we get -0.05x = 22.

Dividing both sides by -0.05, we get x = 440.

Hence, the amount of the bill is 440 rupees.

Since 440 rupees is not one of the answer choices, the correct answer must be "Data Inadequate".

24) Statement: One of the problems facing the food processing industry is the irregular supply of raw material. The producers of raw material are not getting a reasonable price. Courses of action: I. The Government should regulate the supply of raw material to other industries also. II. The Government should announce an attractive package to ensure regular supply of raw material for food processing industry.

Only course of action I follows.

Only course of action II follows.

Either course of action I or II follows.

Neither course of action I nor II follows.

Both courses of action follow.

The statement mentions that one of the problems facing the food processing industry is the irregular supply of raw material. Therefore, the course of action that suggests the government should announce an attractive package to ensure regular supply of raw material for the food processing industry directly addresses this problem. On the other hand, course of action I, which suggests that the government should regulate the supply of raw material to other industries, does not directly address the issue of irregular supply faced by the food processing industry. Hence, only course of action II follows.

Explanation

The statement mentions that one of the problems facing the food processing industry is the irregular supply of raw material. Therefore, the course of action that suggests the government should announce an attractive package to ensure regular supply of raw material for the food processing industry directly addresses this problem. On the other hand, course of action I, which suggests that the government should regulate the supply of raw material to other industries, does not directly address the issue of irregular supply faced by the food processing industry. Hence, only course of action II follows.

25) A person wanted to withdraw X rupees and Y paisa from the bank. But cashier made a mistake and gave him Y rupees and X paisa. Neither the person nor the cashier noticed that. After spending 20 paisa, the person counts the money. And to his surprise, he has double the amount he wanted to withdraw. Find X and Y. (1 Rupee = 100 Paisa)

27 , 53

26, 54

25, 54

26, 53

When the person wanted to withdraw X rupees and Y paisa, the cashier mistakenly gave him Y rupees and X paisa. After spending 20 paisa, the person counts the money and realizes that he has double the amount he wanted to withdraw. This means that the person has (2X + 40) rupees and (2Y - 20) paisa. Since 1 rupee is equal to 100 paisa, we can convert the amount to paisa and set up an equation: 2X + 40 = 100X + 2Y - 20. Simplifying the equation, we get 98X - 2Y = 60. The only option that satisfies this equation is X = 26 and Y = 53.

Explanation

When the person wanted to withdraw X rupees and Y paisa, the cashier mistakenly gave him Y rupees and X paisa. After spending 20 paisa, the person counts the money and realizes that he has double the amount he wanted to withdraw. This means that the person has (2X + 40) rupees and (2Y - 20) paisa. Since 1 rupee is equal to 100 paisa, we can convert the amount to paisa and set up an equation: 2X + 40 = 100X + 2Y - 20. Simplifying the equation, we get 98X - 2Y = 60. The only option that satisfies this equation is X = 26 and Y = 53.

26) A train overtakes two persons who are walking in the same direction to that of the train at 2 Kmph and 4 Kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?

62 m

54 m

50 m

55 m

The train overtakes the first person in 9 seconds and the second person in 10 seconds. This means that the train is faster than both people. Let's calculate the speed of the train first. The difference in speed between the train and the first person is 2 Kmph, and it takes 9 seconds to overtake him. So, the train's speed is (2 Kmph * 9 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.05 Kmps. Similarly, the difference in speed between the train and the second person is 4 Kmph, and it takes 10 seconds to overtake him. So, the train's speed is (4 Kmph * 10 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.11 Kmps. Taking the average of these two speeds, we get the speed of the train as (0.05 Kmps + 0.11 Kmps) / 2 = 0.08 Kmps. Now, we can calculate the length of the train using the formula: Length = Speed * Time. Plugging in the values, we get Length = 0.08 Kmps * 9 seconds = 0.72 Km = 720 m. Therefore, the length of the train is 720 m, which is not given as an option. Since none of the options match the calculated length, the correct answer is not available.

Explanation

The train overtakes the first person in 9 seconds and the second person in 10 seconds. This means that the train is faster than both people. Let's calculate the speed of the train first. The difference in speed between the train and the first person is 2 Kmph, and it takes 9 seconds to overtake him. So, the train's speed is (2 Kmph * 9 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.05 Kmps. Similarly, the difference in speed between the train and the second person is 4 Kmph, and it takes 10 seconds to overtake him. So, the train's speed is (4 Kmph * 10 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.11 Kmps. Taking the average of these two speeds, we get the speed of the train as (0.05 Kmps + 0.11 Kmps) / 2 = 0.08 Kmps. Now, we can calculate the length of the train using the formula: Length = Speed * Time. Plugging in the values, we get Length = 0.08 Kmps * 9 seconds = 0.72 Km = 720 m. Therefore, the length of the train is 720 m, which is not given as an option. Since none of the options match the calculated length, the correct answer is not available.

27) Statement: The price of crude oil in the international market has considerably risen due to the unanimous decision of OPEC members, to effect cut in crude oil production. Courses of action: I. Government of India should immediately increase the price of petroleum products. II. The government should increase the crude oil production of the domestic oil wells. III. The government should absorb by using resources in its oil pool.

Only I follows

Only I and II follow

Only II and III follow

Only II follows

None of these

The statement mentions that the price of crude oil in the international market has risen due to the unanimous decision of OPEC members to cut production. Based on this information, it can be inferred that the price of petroleum products in India would also increase. Therefore, Course of Action I, which suggests that the Government of India should immediately increase the price of petroleum products, is a valid response. Additionally, Course of Action II, which recommends increasing the crude oil production of domestic oil wells, is also a valid response as it would help to meet the demand for petroleum products domestically and potentially reduce reliance on imported oil.

Explanation

The statement mentions that the price of crude oil in the international market has risen due to the unanimous decision of OPEC members to cut production. Based on this information, it can be inferred that the price of petroleum products in India would also increase. Therefore, Course of Action I, which suggests that the Government of India should immediately increase the price of petroleum products, is a valid response. Additionally, Course of Action II, which recommends increasing the crude oil production of domestic oil wells, is also a valid response as it would help to meet the demand for petroleum products domestically and potentially reduce reliance on imported oil.

28) A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km.

36 kmph

48 kmph

50 kmph

62 kmph

The initial speed of the motorcyclist is 50 kmph. Since the total path covered by the motorcyclist is 50 km, and he rode the first half of his way at a constant speed, it means that he covered 25 km at that speed. Then, he was delayed for 5 minutes, and to make up for the lost time, he increased his speed by 10 km/h. Therefore, he covered the remaining 25 km at a speed of 60 km/h (50 km/h + 10 km/h). So, the initial speed of the motorcyclist is 50 kmph.

Explanation

The initial speed of the motorcyclist is 50 kmph. Since the total path covered by the motorcyclist is 50 km, and he rode the first half of his way at a constant speed, it means that he covered 25 km at that speed. Then, he was delayed for 5 minutes, and to make up for the lost time, he increased his speed by 10 km/h. Therefore, he covered the remaining 25 km at a speed of 60 km/h (50 km/h + 10 km/h). So, the initial speed of the motorcyclist is 50 kmph.

29) Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 40 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?

22 hr

16 hr

28 hr

32 hr

When tap A and tap B are open, they can fill the tank in 5 hours and 20 hours respectively. Let's assume that the tank has a capacity of 100 units. In one hour, tap A can fill 20 units (100/5) and tap B can fill 5 units (100/20). Therefore, in one hour, both taps together can fill 25 units (20+5). However, due to the leakage, it takes 40 minutes longer to fill the tank completely. This means that the effective filling rate is reduced by 40/60 = 2/3 units per hour. So, the effective filling rate is 25 - 2/3 = 73/3 units per hour. To find out how long it takes for the leakage alone to empty the tank, we divide the tank's capacity (100 units) by the leakage rate (73/3 units per hour), which gives us approximately 28 hours. Therefore, the correct answer is 28 hours.

Explanation

When tap A and tap B are open, they can fill the tank in 5 hours and 20 hours respectively. Let's assume that the tank has a capacity of 100 units. In one hour, tap A can fill 20 units (100/5) and tap B can fill 5 units (100/20). Therefore, in one hour, both taps together can fill 25 units (20+5). However, due to the leakage, it takes 40 minutes longer to fill the tank completely. This means that the effective filling rate is reduced by 40/60 = 2/3 units per hour. So, the effective filling rate is 25 - 2/3 = 73/3 units per hour. To find out how long it takes for the leakage alone to empty the tank, we divide the tank's capacity (100 units) by the leakage rate (73/3 units per hour), which gives us approximately 28 hours. Therefore, the correct answer is 28 hours.

30) 6:60 :: 120: ?

240

12

48

210

336

In this analogy, the numbers on the left side are multiplied by 10 to get the numbers on the right side. For example, 6 x 10 = 60 and 120 x 10 = 1200. Following this pattern, 240 x 10 = 2400, 12 x 10 = 120, 48 x 10 = 480, and 210 x 10 = 2100. The only option that follows this pattern is 336 x 10 = 3360, which matches the given answer of 336.

Explanation

In this analogy, the numbers on the left side are multiplied by 10 to get the numbers on the right side. For example, 6 x 10 = 60 and 120 x 10 = 1200. Following this pattern, 240 x 10 = 2400, 12 x 10 = 120, 48 x 10 = 480, and 210 x 10 = 2100. The only option that follows this pattern is 336 x 10 = 3360, which matches the given answer of 336.