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What is the ratio of the area of a square to the area of a circle of the same perimeter?

5, A square of length l, a rhombus is out of this triangle making it have an angle of 600 on a single diagonal. What is the area of this rhombus?

6, Solve the inequality tan(x+ ∏/3) ≥ √3

7, Given a triangle with sides 7m, 8m and 3m. What is 50% the area of this triangle?

8, tan (22.5) can be expressed as

A.     (1+20.5)1/2

B.     (-1+20.5)

C.     (2+20.5)1/2

D.     None



In the carbonyl group, the oxygen atom has a high electronegativity which makes it

A.     Stable

B.     Non-polar

C.     Polarised

D.     Unstable


7, A ball A is thrown upward at the same time with a ball B. The initial speed of A is half that of B. What is the distance of A from the top of B?


5, A mass m suspended from a string of elastic constant K oscillates with Amplitude A. If the amplitude of the oscillations is doubled, which of the following statement is correct?

A.     The frequency of the oscillation doubles

B.     The space traveled by the mass in a period doubles

C.     The oscillation period doubles

D.     The frequency of the oscillations is halved


3, Which of the following relationship is correct?

A.     2kg*6cm2 = 8J

B.     0.2 Coulomb / 10-3Farad = 200V

C.     8Joule / 2m = 8kg * 2ms-2

D.     10kg * 3m/s = 30Newton


The equation 0.01x + 4= 14 has solution?



40, The polynomial x6 – 8 is divisible by?

A.     X-√2

B.     X2 + 2

C.     X3 -3

D.     None of the above


Which one of the following conditions shall occur because the line of equation y=mx+n does not pass through the fourth quadrant of the Cartesian plane?

A.     m>0, n<0

B.     m>0, n=0

C.     m<0, n<0

m>0, n>0


A right-angle triangle has an angle of 600 and the height on the hypotenuse to 1cm, then its perimeter is? 


, Let ABC be a right-angle triangle in B and of area S. Let a be the internal angle with vertex in A and we consider the point D on the side BC such that the segment AD can form an angle of width a/2 with AB then the area of triangle ABC is ?

A.     Greater than S/2

B.     Equal to S/2

C.     Less than S/2

None of the above


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