# Scholastic Aptitude Test (SAT) Paper – Maharashtra 2016 − 17 Part – 10

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Q: 96 In the following figure, . Diagonals AC and BD intersect at point O. If AO: OC = 1: 3, then

(1)

(2)

(3) 16

(4) 116

Q: 97 In ∆ ABC points P and Q trisect side AB, points T and U trisect side AC and points R and S trisect side BC. Then perimeter of hexagon PQRSTU is how many times of the perimeter of ∆ ABC?

(1)

(2)

(3)

(4)

Q; 98

(1) 1 –

(2)

(3)

(4)

Q: 99. The radius of a cylindrical vessel is 7 cm and height is 12 cm. of the vessel is filled with water. A sphere having radius 6 cm is dropped into the water. Find the volume of the water that will come out of the vessel.

(1) 196 π

(2)

(3) 288

(4) 588 π

Q: 100. Radius of a circle with centre ‘O’ is AB is the diameter of the circle AE|| BC = 8cm. Line EC is tangent to the circle at point D. Find the length of DE.

(1)

(2)

(3)

(4) 10 cm