Question 51. Following bearings are observed while traversing with a compass.Line    Fore Bearing    Back BearingAB           126°45´          308°00´BC             49°15´          227°30´CD           340°30´         161°45´DE           258°30´           78°30´EA           212°30´           31°45´After applying the correction due to local attraction, the corrected fore bearing of line BC will be:

Question 52. The annual precipitation data of a city is normally distributed with mean and standard deviation as 1000 mm and 200 mm, respectively. The probability that the annual precipitation will be more than 1200 mm is

Question 53. The following statements are related to bending of beams: I The slope of the bending moment diagram is equal to the shear force. II The slope of the shear force diagram is equal to the load intensity. III The slope of the curvature is equal to the flexural rotation. IV The second derivative of the deflection is equal to the curvature. The only FALSE statement is

Question 54. The Poisson's ratio is defined as

Question 55. The infinite series 1 + x + x2/2! + x3/3! + x4/4! + ... corresponds to

Question 56. The drainage area of a watershed is 50 km2. The φ index is 0.5 cm/hour and the base flow at the outlet is 10 m3/s. One hour unit hydrograph (unit depth = 1 cm) of the watershed is triangular in shape with a time base of 15 hours. The peak ordinate occurs at 5 hours. For a storm of depth of 5.5 cm and duration of 1 hour, the peak ordinate (in m3/s) of the hydrograph is

Question 57. Choose the grammatically INCORRECT sentence:

Question 58. Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several “““““““““ the mission succeeded in its attempt to resolve the conflict.

Question 59. Which one of the following options is the closest in meaning to the word given below? Mitigate

Question 60. The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs. 50 per unit. The number of units to be produced by the firm such that the profit is maximized is