GATE CS 2011

Question 51

Which of the following options is the closest in the meaning to the word below: Inexplicable

• incomprehensible
• indelible
• inextricable
• infallible

Question 52

If Log(P) = (1/2)Log(Q) = (1/3)Log(R), then which of the following options is TRUE?

• P² = Q³R²
• Q² = PR
• Q² = R³P²
• R = P²Q²

Question 53

Choose the most appropriate word (s) from the options given below to complete the following sentence. I Contemplated ____________ Singapore for my vacation but decided against it.

• to visit
• having to visit
• visiting
• for a visit

Question 54

Choose the word from the options given below that is most nearly opposite in meaning to the given word: Amalgamate

• merge
• split
• collect
• separate

Question 55

Few school curricula include a unit on how to deal with bereavement and grief, and yet all students at some point in their lives suffer from losses through death and parting. Based on the above passage which topic would not be included in a unit on bereavement?

• how to write a letter of condolence
• what emotional stages are passed through in the healing process
• what the leading causes of death are
• Show to give support to a grieving friend

Question 56

P, Q, R and S are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within 24 hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency and growth attributed to a microbe shown in the figure below: A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt?

• P
• Q
• R
• S

Question 57

The variable cost (V) of manufacturing a product varies according to the equation V = 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q.How many units should be produced to minimize the total cost (V+F)?

• 5
• 4
• 7
• 6

Question 58

A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?

• 4
• 5
• 6
• 7

Question 59

A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of\'water and this process is repeated one more time. How much spirit is now left in the container?

• 7.58 litres
• 7.84 litres
• 7 litres
• 7.29 litres

Question 60

Consider a network with five nodes, N1 to N5, as shown below. The network uses a Distance Vector Routing protocol. Once the routes have stabilized, the distance vectors at different nodes are as following. N1: (0, 1, 7, 8, 4) N2: (1, 0, 6, 7, 3) N3: (7, 6, 0, 2, 6) N4: (8, 7, 2, 0, 4) N5: (4, 3, 6, 4, 0) Each distance vector is the distance of the best known path at the instance to nodes, N1 to N5, where the distance to itself is 0. Also, all links are symmetric and the cost is identical in both directions. In each round, all nodes exchange their distance vectors with their respective neighbors. Then all nodes update their distance vectors. In between two rounds, any change in cost of a link will cause the two incident nodes to change only that entry in their distance vectors. 52. The cost of link N2-N3 reduces to 2(in both directions). After the next round of updates, what will be the new distance vector at node, N3.

• (3, 2, 0, 2, 5)
• (3, 2, 0, 2, 6)
• (7, 2, 0, 2, 5)
• (7, 2, 0, 2, 6)