GATE XE branch:xe PYQs & Answers — Page 143

Questions 1421–1430 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 143 of 178

A tsunami is a long gravity wave, i.e. its wavelength is much larger than the depth of the ocean. A tsunami moves from point A to point B (see figure below); water depth at A is 2000 m, and water depth at B is 500 m. Assume no frictional losses. By energy conservation,

is constant, where

is group speed and

is the total (potential plus kinetic) energy density of the wave field. If the amplitude of the tsunami at point A is 1 m, its amplitude at B is ________ m. (Round off to two decimal places.)

Diagram for Engineering Sciences question 21

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

At mid-latitudes, long Rossby waves obey the dispersion relation

, where

is frequency,

is zonal wavenumber,

is rate of change of Coriolis parameter with northward distance (units m

), and

is Rossby radius. If

= 100 km, the speed of the long Rossby wave at 45°N is ________ m s

. (Round off to two decimal places.) Take radius of the earth as 6400 km.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

“Going by the ______ that many hands make light work, the school ______ involved all the students in task.” The words that best fill the blanks in the above sentence are

Your answerChoose one option.

principle, principal

principal, principle

principle, principle

principal, principal

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

“Her ______ should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is

Your answerChoose one option.

cleanliness

punctuality

frugality

greatness

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

Your answerChoose one option.

100

700

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the original rectangle in square meters?

Your answerChoose one option.

1125

250

294

450

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For integers

and

, what would be the minimum and maximum values respectively of

Your answerChoose one option.

-3 and 3

-1 and 1

-1 and 3

1 and 3

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given that

and

are integers and

is odd, which one of the following statements is correct?

Your answerChoose one option.

and

are both odd

and

are both even

is even and

is odd

is odd and

is even

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while traveling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

Your answerChoose one option.

210 and 140

162.5 and 187.5

245 and 130

75 and 200

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE XE branch:xe PYQs

Question 21

Question 22

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8