If longitudinally spanning stairs are casted along with their landings, the maximum bending moment per metre width, is taken as

For stairs spanning $$l$$ meters longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is

A

$$\frac{{{\text{w}}{l^2}}}{4}$$

B

$$\frac{{{\text{w}}{l^2}}}{8}$$

C

$$\frac{{{\text{w}}{l^2}}}{{10}}$$

D

$$\frac{{{\text{w}}{l^2}}}{{12}}$$

E

$$\frac{{{\text{w}}{l^2}}}{{16}}$$

A total of 3720 votes were casted to A, B and C. B has received total votes of 1080. If 390 people who had casted their votes to A withdrew and cast their votes to B, then the number of votes casted to A and C becomes equal. Find the number of votes casted to C.

A

1080

B

1600

C

1140

D

1125

In an election, only 75% of the voters casted their votes. Out of these casted votes, 5% were declared invalid. If one of the candidates got 4275 votes which is 30% of the total valid votes then find the number of casted votes.

A

25000

B

20000

C

18000

D

15000

E

16000

A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.

A

B

D

C

B

D

C

A reinforced concrete beam is subjected to 5 kNm bending moment due to dead load and 25 kNm bending moment due to live load. What should be the design bending moment for limit state of collapse?

A

30.0 kN.m

B

34.5 kN.m

C

45.0 kN.m

D

50.0 kN.m

A' has invited 'B' for dinner. When 'B' is stepping up the stairs leading to 'A's residence he slips and gets injured because the stairs are slippery and there is not light illuminating the stairs:

A

A' is liable because 'B' has suffered injury while going to 'A's residence

B

A' is liable because his premises were unsafe and he did not do anything to make it safe

C

A' is not liable because it was not his duty to provide illumination on the stairs

D

A' is not liable because 'B' himself was to blame for the injury

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total cost of gardening the park? I. In a rectangular plot of length 120 metre and breadth 80 metre a circular park is made in it's centre surrounded by a pavement of thickness 3 metre. II. The diameter of the park including the pavement is 20 metre and the cost of gardening the park is Rs.85 per m2.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data even in both the statements I and II together are not sufficient to answer the question.

E

If the data in both statements I and II together are needed to answer the question.

Two boats of length 17.5 metre and 22.5 metre are separated by a distance of 800 metre started moving towards each other. If the boats can cross each other’s distance in 4 sec, then find the time from starting when they will 1000 metre apart.

A

2 minutes

B

2.5 minutes

C

4 minutes

D

3.5 minutes

E

3 minutes

A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to

A

$$\frac{{\text{T}}}{2}$$

B

T

C

2T

D

4T

If W is total load per unit area on a panel, D is the diameter of the column head, L is the span in two directions, then the sum of the maximum positive bending moment and average of the negative bending moment for the design of the span of a square flat slab, should not be less than

A

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

B

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} + \frac{{2{\text{D}}}}{3}} \right)^2}$$

C

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

D

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{\text{D}}}{3}} \right)^2}$$

If longitudinally spanning stairs are casted along with their landings, the maximum bending moment per metre width, is taken as

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