1.
What is the speed of the train whose length is 210 metres?I. The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds. II. The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.
Correct Answer
C. Both I and II are necessary to answer
Explanation
Both statements I and II are necessary to answer the question.
Statement I provides information about the train crossing another train of known length in a given time. This allows us to calculate the relative speed between the two trains.
Statement II provides information about the train crossing another train in a given time, but this time the direction is the same. This allows us to calculate the speed of the train itself.
Combining both statements, we can calculate the speed of the train by considering both the relative speed and the speed of the other train.
2.
What is the length of a running train crossing another 180 metre long train running in the opposite direction?I. The relative speed of the two trains was 150 kmph. II. The trains took 9 seconds to cross each other.
Correct Answer
A. Both I and II are necessary to answer
Explanation
Both I and II are necessary to answer.
To determine the length of the running train, we need both the relative speed of the two trains (given in statement I) and the time taken for the trains to cross each other (given in statement II). The relative speed gives us the rate at which the two trains are approaching each other, and the time taken gives us the duration of the crossing. By multiplying the relative speed by the time taken, we can calculate the total distance covered during the crossing, which includes the length of the running train. Therefore, both statements I and II are necessary to determine the length of the running train.
3.
SCD, TEF, UGH, ____, WKL
Correct Answer
C. VIJ
Explanation
The pattern in the given sequence is that each letter in the sequence is shifted three positions forward in the alphabet. Starting with S, T, U, the next letter should be three positions forward from U, which is X. However, X is not an option, so we can eliminate that. The next option is VIJ, which is the correct answer as it follows the pattern of shifting each letter three positions forward from the previous letter.
4.
Yard is to inch as quart is to
Correct Answer
B. OUNCE
Explanation
The relationship between yard and inch is that yard is a larger unit of measurement compared to inch. Similarly, quart is a larger unit of measurement compared to ounce. Therefore, the correct answer is ounce.
5.
Every one of the following question consists of a related pair of words, followed by five pairs of words. Choose the pair that best represents a similar relationship to the one expressed in the original pair of words.BINDING : BOOK
Correct Answer
A. Frame : picture
Explanation
The relationship between the words "binding" and "book" is that binding is a part of a book. Similarly, the relationship between the words "frame" and "picture" is that a frame is a part of a picture. Therefore, the pair "frame : picture" best represents a similar relationship to the one expressed in the original pair of words.
6.
Statement: "You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation." - A line in an appointment letter.Assumptions:- The performance of an individual generally is not known at the time of appointment offer.
- Generally an individual tries to prove his worth in the probation period.
Correct Answer
C. Both I and II are implicit
Explanation
The first assumption is implicit because it is generally true that the performance of an individual is not known at the time of appointment offer. This is why a probation period is included in the appointment letter to assess the individual's performance before confirming their appointment. The second assumption is also implicit because it is generally true that an individual will try to prove their worth during the probation period in order to secure a permanent position.
7.
Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 years of age.Assumptions:- There are unemployed youth in India who needs monetary support.
- The government has sufficient funds to provide allowance to all unemployed youth.
Correct Answer
A. Only assumption I is implicit
Explanation
The correct answer is "Only assumption I is implicit." This means that it is assumed that there are unemployed youth in India who need monetary support. The statement suggests that unemployment allowance should be given to all unemployed Indian youth above 18 years of age, indicating that there is a belief that there are unemployed youth in need of financial assistance. However, there is no mention or implication in the statement about the government having sufficient funds to provide the allowance, so assumption II is not implicit.
8.
Statements: No women teacher can play. Some women teachers are athletes.Conclusions:- Male athletes can play.
- Some athletes can play.
Correct Answer
A. Neither I nor II follows
Explanation
The given statements state that no women teacher can play and that some women teachers are athletes. However, the conclusions state that male athletes can play and that some athletes can play. None of these conclusions can be directly inferred from the given statements, as there is no information provided about male athletes or athletes in general. Therefore, neither conclusion I nor conclusion II follows from the given statements.
9.
Read the definition and all four choices carefully, and find the answer that provides the best example of the given definition.Applying for Seasonal Employment occurs when a person requests to be considered for a job that is dependent on a particular season or time of year. Which situation below is the best example of Applying for Seasonal Employment?
Correct Answer
B. Lucinda makes an appointment with the beach resort restaurant manager to interview for the summer waitressing position that was advertised in the newspaper.
Explanation
Lucinda making an appointment with the beach resort restaurant manager to interview for the summer waitressing position that was advertised in the newspaper is the best example of Applying for Seasonal Employment because the job is dependent on a particular season (summer) and Lucinda is actively seeking to be considered for the job. The other options either mention a specific time period but do not involve actively applying for a seasonal job or simply mention a preference for working outdoors without any mention of applying for a seasonal job.
10.
Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Correct Answer
A. We discussed about the problem so thoroughly
11.
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Correct Answer
B. 14
Explanation
The given series alternates between two sets of numbers: 53 and 40, and 40 and 27. In each set, the number decreases by 13. Therefore, the next set should be 27 and 14. Hence, the next number in the series should be 14.
12.
Each question has an underlined word followed by four answer choices. You will choose the word that is a necessary part of the underlined word.school
Correct Answer
A. Student
Explanation
The word "student" is a necessary part of the word "school" because a school is a place where students go to learn. Without students, there would be no need for a school to exist. The other answer choices, such as "report card," "test," and "learning," are not necessary parts of the word "school" as they are related to the activities or assessments within a school, but not essential to the concept of a school itself.
13.
Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners.Conclusions:- 80% of the team consists of spinners.
- The opening batsmen were spinners.
Correct Answer
A. Neither I nor II follows
Explanation
The given statements state that out of the total 200 runs made by the team, 160 runs were made by spinners. However, this does not provide any information about the percentage of spinners in the team or whether the opening batsmen were spinners. Therefore, neither conclusion I nor conclusion II can be derived from the given statements.
14.
In the question below a sentence broken into five or six parts. Join these parts to make a meaningful sentence. The correct order of parts is the answer. 1. I2. immediately3. salary4. my5. want
Correct Answer
A. 15432
Explanation
I want my salary immediately.
15.
In question given below out of four alternatives, choose the one which can be substituted for the given word/sentence.Extreme old age when a man behaves like a fool
Correct Answer
A. Dotage
Explanation
Dotage is the correct answer because it refers to extreme old age when a person's mental faculties deteriorate, causing them to behave foolishly. Senility also refers to the mental decline associated with old age, but it does not specifically imply foolish behavior. Imbecility refers to a state of extreme stupidity or foolishness, but it does not necessarily imply old age. Superannuation refers to the act of retiring from work due to reaching a certain age or completing a certain number of years of service, and it does not specifically imply foolish behavior.
16.
The last day of a century cannot beThe last day of a century cannot be
Correct Answer
A. TUESDAY
Explanation
The last day of a century cannot be Tuesday because a century consists of 100 years, and each year has 365 days. Therefore, the last day of a century would be the 365th day, which would fall on a Monday, Saturday, or Sunday, but not on a Tuesday.
17.
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
Correct Answer
C. 16 KM
Explanation
Let's assume the distance travelled on foot is x km. The time taken to travel this distance at a speed of 4 km/hr is x/4 hours. The remaining distance travelled on a bicycle is (61 - x) km. The time taken to travel this distance at a speed of 9 km/hr is (61 - x)/9 hours. According to the given information, the total time taken is 9 hours. So, we can form the equation x/4 + (61 - x)/9 = 9. Solving this equation, we find x = 16 km. Therefore, the correct answer is 16 KM.
18.
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Correct Answer
D. 12
Explanation
If 3 pumps working 8 hours a day can empty a tank in 2 days, it means that each pump can empty 1/16th of the tank in 1 hour (since 3 pumps working for 2 days is equivalent to 6 pumps working for 1 day). Therefore, to empty the tank in 1 day, 4 pumps would need to work for 12 hours each (since 4 pumps can empty 1/4th of the tank in 1 hour, and 1/4th multiplied by 4 is equal to the entire tank).
19.
The question given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the speed of the train?I. The train crosses a signal pole in 18 seconds.II. The train crosses a platform of equal length in 36 seconds. III. Length of the train is 330 metres.
Correct Answer
D. III and either I or II only
Explanation
To determine the speed of the train, we need to know the length of the train and the time it takes to cross a certain distance. Statement I tells us that the train crosses a signal pole in 18 seconds, which gives us the time. Statement II tells us that the train crosses a platform of equal length in 36 seconds, which gives us the distance. Finally, statement III tells us the length of the train, which is necessary to calculate the speed. Therefore, both statement III and either statement I or II are necessary to answer the question.
20.
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
Correct Answer
D. 54
Explanation
If one-third of one-fourth of a number is 15, it means that one-fourth of the number is 15 multiplied by 3, which is 45. Therefore, the number itself is 45 multiplied by 4, which is 180. Finally, three-tenths of that number is 180 multiplied by 3/10, which is 54.
21.
From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
Correct Answer
A. 173 m
Explanation
The angle of elevation of the top of the tower is 30°. This means that if we draw a right triangle with the tower as the vertical side and the distance from point P to the foot of the tower as the horizontal side, the angle between these two sides is 30°. The height of the tower is given as 100 m. We can use trigonometry to find the distance from point P to the foot of the tower. Using the tangent function, we have tan(30°) = opposite/adjacent, where the opposite side is 100 m (height of the tower) and we need to find the adjacent side (distance from point P to the foot of the tower). Rearranging the equation, we have adjacent = opposite/tan(30°) = 100 m / tan(30°) ≈ 173 m. Therefore, the distance of point P from the foot of the tower is approximately 173 m.
22.
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
Correct Answer
C. 15 hours
Explanation
Let's assume that the first pipe fills the tank in x hours. Since the second pipe fills the tank 5 hours faster than the first pipe, it takes x-5 hours to fill the tank. Similarly, the third pipe fills the tank 4 hours faster than the second pipe, so it takes (x-5)+4 = x-1 hours to fill the tank.
According to the given information, the first two pipes together fill the tank in the same time as the third pipe alone. Therefore, the combined rate of the first two pipes must be equal to the rate of the third pipe.
The rate of the first pipe is 1/x, the rate of the second pipe is 1/(x-5), and the rate of the third pipe is 1/(x-1).
Setting up the equation: 1/x + 1/(x-5) = 1/(x-1)
Multiplying through by x(x-5)(x-1) to clear the denominators: (x-5)(x-1) + x(x-1) = x(x-5)
Expanding and simplifying the equation: x^2 - 6x + 5 + x^2 - x = x^2 - 5x
Simplifying further: 2x^2 - 12x + 5 = x^2 - 5x
Moving all terms to one side: x^2 - 7x + 5 = 0
Factoring the quadratic equation: (x-5)(x-1) = 0
Solving for x: x = 5 or x = 1
Since the time required cannot be 1 hour (as it is stated that the second pipe fills the tank 5 hours faster than the first pipe), the only possible solution is x = 5+5 = 10 hours.
Therefore, the time required by the first pipe is 10 hours.
23.
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Correct Answer
A. 4.14 kmph
Explanation
To find the speed of B, we need to calculate the time taken by A and B to complete the race.
A gives B a start of 8 m, which means A has to cover 100 m - 8 m = 92 m.
A beats B by 8 seconds, so the time taken by A is 8 seconds less than B.
We can use the formula: Time = Distance / Speed
The time taken by A is 92 m / (5 kmph) = 18.4 seconds.
The time taken by B is 100 m / Speed of B.
Since A beats B by 8 seconds, the time taken by B is 18.4 seconds + 8 seconds = 26.4 seconds.
Therefore, the speed of B is 100 m / 26.4 seconds = 3.79 m/s = 3.79 * 3600 / 1000 kmph = 13.644 kmph.
Rounding it to two decimal places, the speed of B is approximately 4.14 kmph.
24.
In each question, an incomplete statement (Stem) followed by fillers is given. Pick out the best one which can complete incomplete stem correctly and meaningfully.Despite his best efforts to conceal his anger ......
Correct Answer
A. People came to know that he was annoyed
Explanation
The correct answer suggests that despite the person's efforts to conceal his anger, people were still able to perceive that he was annoyed. This implies that his attempts to hide his emotions were unsuccessful, as others were able to pick up on his true feelings.
25.
Correct Answer
B