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# Quant Quiz “Advance” for SSC CGL 2016

Q2. The altitude of an equilateral triangle is √3 cm. What is its perimeter?
(a) 3 cm
(b) 3√3 cm
(c) 6 cm
(d) 6√3 cm

Q3. The area of a right angled triangle is 24 cm^2 and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is
(a) 3.6 cm
(b) 4.8 cm
(c) 5.2 cm
(d) 12 cm

Q4.The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 18√5 sq units, the third side is
(a) 8√2 units
(b) 12 units
(c) 16 units
(d) 5√10 units

Q7. A tree and a 60 m high tower are situating on the same ground. The angle of elevation of top of the tree from the foot of the tower is 30° and the angle of depression of the foot of the tree from the top of the tower is 60°. What will be the height of the tree?
(a) 20 m
(b) 22 m
(c) 25 m
(d) 30 m

Q8. The ratio of number of sides of two regular polygon is 5 : 4 and the difference between each interior angle is 9°. Then find the number of sides?

(a) 15, 12
(b) 5, 4
(c) 10, 8
(d) 20, 16

Q9. The radius of the circumcircle of the triangle formed by x-axis, y-axis and 4x + 3y = 12 is
(a) 2 units
(b) 2.5 units
(c) 3 units
(d) 4 units

Q10. The areas of two similar triangles are 96 cm^2 and 150 cm^2. If the largest side of the larger triangle is 25 cm the largest side of all smaller triangle is
(a) 15 cm
(b) 16 cm
(c) 18 cm
(d) 20 cm