9th August 2017 - 2nd Shift 

61.If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 – 3xyz?
 A. 81
 B. 361
 C. 729
 D. 6561
 
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62.If x4 + (1/x4) = 34, then what is the value of x3 – (1/x3)?
 A. 0
 B. 6
 C. 8
 D. 14
 
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63.If x = 1 – y and x2 = 2 – y2, then what is the value of xy?
 A. 1
 B. 2
 C. –1/2
 D. –1
 
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64.If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?
 A. 3√5
 B. 3√5 – 7
 C. 3√5 + 7
 D. 8
 
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65.In the given figure, DE||BC and AD : DB = 5 : 3, then what is the value of (DE||BC)?

 A. 5/8
 B. 2/3
 C. 3/4
 D. 5/3
 
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66.PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?
 A. 52
 B. 77
 C. 128
 D. 142
 
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67. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
 A. 18√3
 B. 27√3
 C. 32√3
 D. 36√3
 
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68.In the given figure, PR and ST are perpendicular to tangent QR. PQ passes through centre O of the circle whose diameter is 10 cm. If PR = 9 cm, then what is the length (in cm) of ST?

 A. 1
 B. 1.25
 C. 1.5
 D. 2
 
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69.What is the simplified value of (sec A + cos A)(sec A – cos A)?
 A. 2 tan2 A
 B. 2 sin2 A
 C. sin2 A tan2 A
 D. sin2 A + tan2 A
 
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70.
 A. 2cos2A
 B. 1 – sin2A
 C. sec2A
 D. secA tanA
 
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