In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate, and α = Inclination of the gate with the normal to the side of the lock)

In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate and $$\alpha $$ = Inclination of the gate with the normal to the side of the lock)

A

$$\frac{{\text{P}}}{{\sin \alpha }}$$

B

$$\frac{{2{\text{P}}}}{{\sin \alpha }}$$

C

$$\frac{{\text{P}}}{{2\sin \alpha }}$$

D

$$\frac{{2{\text{P}}}}{{\sin \frac{\alpha }{2}}}$$

In each question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: The Amazon.com Inc. founder, Jeff Bezos’s net worth broke $150 billion in New York on Monday morning, according to the Bloomberg Billionaires Index. That’s about $55 billion more than Microsoft Corp. co-founder Bill Gates, the world’s second-richest person. Bezos, 54, has now topped Gates in inflation-adjusted terms. The $100 billion mark that Gates hit briefly in 1999 at the height of the dot-com boom would be worth about $149 billion in today’s dollars. Assumptions: I. Jeff Bezos is the richest person in modern history. II. That makes the Amazon founder richer than anyone else on earth since at least 2000 when Forbes published its inaugural wealth ranking. III. Gates would have had a net worth of more than $150 billion if he’d held onto assets that he’s given away, largely to the Bill & Melinda Gates Foundation.

A

Only I is implicit

B

All except II, I is implicit

C

Neither I, II nor III is implicit

D

Only II is implicit

E

Both I and II are implicit

By increasing the rise of lock-gates, (i) The length of the lock gate will increase (ii) Transverse stress due to water pressure on the gate will increase (iii) Compressive force on the gate will increase

A

(i) and (ii) are correct

B

(i) and (iii) are correct

C

Only (ii) is correct

D

Only (iii) is correct

By increasing the rise of lock-gates,
(i) The length of the lock gate will increase
(ii) Transverse stress due to water pressure on the gate will increase
(iii) Compressive force on the gate will increase

A

(i) and (ii) are correct

B

(i) and (iii) are correct

C

Only (ii) is correct

D

Only (iii) is correct

Consider a computer system with multiple shared resource types, with one instance per resource type. Each instance can be owned by only one process at a time. Owning and freeing of resources are done by holding a global lock (L). The following scheme is used to own a resource instance: function OWNRESOURCES(Resource R) Acquire lock L / / a global lock if R is available then Acquire R Release lock L else if R is owned by another process P then Terminate P, after releasing all resources owned by P Acquire R Restart P Release lock L end if end if end function Which of the following choice(s) about the above scheme is/are correct?

A

The scheme may lead to starvation.

B

The scheme may lead to live-lock.

C

The scheme ensures that deadlocks will not occur.

D

The scheme violates the mutual exclusion property.

Calculate the minimum number of AND gates, OR gates and NOT gates required to realize Exclusive-OR operation if only using AND, OR and NOT gates are allowed.

A

2 AND, 1 OR and 2 NOT gates or 1 AND, 2 OR and 2 NOT gates

B

2 AND, 2 NOT and 2 OR gates

C

3 AND, 1 NOT and 2 OR gates

D

2 AND and 2 OR gates

Below some statements are given. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of conclusions logically follows from the given statements. For each question, mark out an appropriate answer choice that you think is correct. Statements: All gates are libraries. Some gates are poles. No pole is room. Some rooms are halls. Conclusions: I) Some poles are library. II) Some gates are room. III) Some libraries are gates.

A

Conclusion I follows

B

Conclusion II follows

C

Both conclusions I and III follow

D

Conclusion III follows

A multithreaded program P executes with x number of threads used y number of locks for ensuring mutual exclusion while operating on shared memory locations. All locks in the program are non-re-entrant. i.e. if a thread holds a lock l, then it cannot re-acquire lock l without releasing it. If a thread is unable to acquire a lock, it blocks until the lock becomes available. The minimum value of x and the minimum value of y together for which execution of p can result in a deadlock are:

A

x = 1, y = 2

B

x = 2, y k = 1

C

x = 2, y = 2

D

x = 1, y = 1

One side of a triangle and a rectangle is the same. The third vertex of the triangle lies on the midpoint of the rectangle side opposite the common side. The rectangle sides are in the ratio 2 : 3 and the common side is the longer side of the rectangle. What is the sin value of the angle between the common side and the equal side of the triangle?

A

3/5

B

13/25

C

4/5

D

24/25

The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statement is true, even if it appears to be at variance with generally established fact, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All tables are TVs. All TVs are gates. Conclusion: I: Some Gates are tables. II: All tables are gates

A

Both conclusions follow

B

Only conclusion II follows

C

Only Conclusion I follows

D

Either conclusion I or conclusion II follows

In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate, and α = Inclination of the gate with the normal to the side of the lock)

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