8th August 2017 - 3rd Shift 

61.
 A. 1
 B. 13/11
 C. 13/5
 D. 4
 
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62.If 2x + (9/x) = 9, then what is the minimum value of x2 + (1/x2)?
 A. 95/36
 B. 97/36
 C. 86/25
 D. 623/27
 
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63. If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy)?
 A. 0
 B. 3/7
 C. 18/49
 D. 1/6
 
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64.If (x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?
 A. 0
 B. 1
 C. -1
 D. 2
 
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65.In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in digress) of ∠SOR?

 A. 45
 B. 55
 C. 60
 D. 75
 
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66.ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?
 A. 14
 B. 14√2
 C. 7
 D. 7√2
 
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67. How many diagonals are there in octagon?
 A. 12
 B. 14
 C. 20
 D. 24
 
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68. A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?
 A. 2
 B. 2.5
 C. 5
 D. 10
 
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69. If sec2 θ + tan2 θ = 5/3, then what is the value of tan 2θ?
 A. 2√3
 B. √3
 C. 1/√3
 D. Cannot be determined
 
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70.A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite side of Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?
 A. 90
 B. 45√3
 C. 45(√3 + 1)
 D. 45(√3 + 2)
 
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