1. In the given figure, find the length of QS.
(A) √31
(B) √43
(C) √43
(D) √73
2. For the given figure, which of the following best describes the value of y?
∠POQ=70° and x >15
(A) y<35
(B) y>35
(C) y<55
(D) y>55
3. In given figure, if L∥K, then find the value of y.
(A) 55
(B) 60
(C) 70
(D) 75
4. In the given figure, both triangles are right triangles. Find the area of the shaded region.
(A) 3/5
(B) 7/8
(C) 7/9
(D) 3/7
5. In the given figure, the radius of the larger circle is twice that of the smaller circle. If the circles are concentric, find the ratio of the shaded region’s area to the area of the smaller circle?
(A) 3 : 1
(B) 3 : 5
(C) 7 : 5
(D) 5 : 7
6. In the given figure, ∆PST is an isosceles right triangle, and PS=2. Find the area of the shaded region URST.
(A) 2/3
(B) 5/7
(C) 1/2
(D) 7/9
7. In the given figure, the area of ∆PQR is 40. Find the area of ∆QRS.
(A) 25
(B) 28
(C) 32
(D) 36
8. In the given figure, PQRS is a square and M and N are midpoints of their respective sides. Find the area of the quadrilateral PMRN.
(A) 26
(B) 24
(C) 16
(D) 8
9. In the given figure, what is the greatest number of regions into which two straight lines with divide the shaded region?
(A) 6
(B) 5
(C) 4
(D) 3
10. In the given figure, O is the centre of the circle. If the area of the circle is 9π, then find the perimeter of the sector PRQO.
(A) 1/2 π+6
(B) 1/2 π-6
(C) 2/3 π+6
(D) 2/3 π-6
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