9th August 2017 - 1st Shift 

61.If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?
 A. k1 = 6, k2 = – 1
 B. k1 = 1, k2 = – 6
 C. k1 = 1, k2 = 6
 D. k1 = – 6, k2 = 1
 
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62.If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?
 A. 0
 B. 343
 C. 392
 D. 2863
 
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63.If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?
 A. 0
 B. 1
 C. 512√2
 D. 612√2
 
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64.If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?
 A. 1/5
 B. 5
 C. 25
 D. 60
 
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65.In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
 A. 1 : 1
 B. 2 : 1
 C. 3 : 1
 D. 4 : 1
 
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66.PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
 A. 12/5
 B. 36/5
 C. 5
 D. 2.5
 
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67.In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)?
 A. 60
 B. 100
 C. 105
 D. 115
 
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68.If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
 A. 0
 B. 5
 C. 4
 D. 7
 
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69.What is the simplified value of cosec 2A + cot 2A?
 A. sec A
 B. sec (A/2)
 C. cot A
 D. cot2 A
 
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70.If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?
 A. 0
 B. 1
 C. 8
 D. 9
 
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