If straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the area of its cross-section, is

If the straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the perimeter of the canal is

A

R (θ + tan θ)

B

2R (θ + tan θ)

C

R (θ + cos θ)

D

2R (θ + cos θ)

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

Remain horizontal

B

Slant up towards direction of pull

C

Slant down towards direction of pull

D

None of the above

Choose the sentence (s) in which the word 'straight means 'honest or frank'. (1) Draw a straight line through the two points. (2) You are not being straight with me, even though you know that I like straight answers. (3) It was a straight choice between taking or leaving the offer of friendship.

A

(1)

B

(3)

C

(1) and (2)

D

1) and (3)

The most suitable section of a lined canal, is

A

Triangular section with circular bottom for small canals

B

Trapezoidal section with rounded corners for large canals

C

Both (A) and (B)

D

None of these

The[ triangular base of a prism is a right triangle of sides a and b = 2a . The height h of the prism is equal to 10 mm and its volume is equal to 40 mm3 , what will be the lengths of the sides a and b of the triangle ?

A

2 mm and 3 mm

B

1 mm and 4 mm

C

2 mm and 2 mm

D

2 mm and 4 mm

For a given stress, the ratio of moment of resistance of a beam of square cross-section when placed with its two sides horizontal to the moment of resistance with its diagonal horizontal, is

A

$$\frac{1}{2}$$

B

1

C

$$\frac{1}{{\sqrt 2 }}$$

D

$$\sqrt 2 $$

A head comprises of straight flange section, corner torus, section and central dished section. Crown radius and knuckle radius in a head is related respectively to the

A

Central dished section and corner torus section

B

Corner torus section and central dished section

C

Central dished section and straight flange section

D

Straight flange section and corner torus section

A beam of triangular section is placed with its base horizontal. The maximum shear stress occurs at

A

Apex of the triangle

B

Mid of the height

C

Center of gravity of the triangle

D

Base of the triangle

For a ternery mixture, in which equilateral triangular co-ordinate is used in leaching and extraction, a __________ of the equilateral triangular co-ordinates.

A

Binary mixture is represented by the apex

B

Binary mixture is represented by any point inside

C

Ternery mixture is represented by the sides

D

Pure component is represented by the apex

Mr. Ali decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

A

23 steps

B

16 steps

C

46 steps

D

26 steps

If straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the area of its cross-section, is

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