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Question 1
In the following figure, there are two concentric circles having centre O and the radii are 5 cm and 3 cm respectively. Two tangents TA and TB are drawn from the point T outside the circles to both circles as shown in the figure. If TA = 12 cm then what will be the value of TB?
Question 2
If two circles touch each other internally. The greater circle has its radius as 6 cm and the distance between the centres of the circles is 2 cm. The radius of the other circle is
Question 3
In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is
Question 4
If a regular polygon has each of its angles equal to times of two right angles, then the number of sides is
Question 5
In a triangle PQR, PQ = PR and ∠Q is twice that of ∠P. Then ∠Q is equal to
Question 6
If 2 cones have volumes in the ratio 12:5 and their radii are in the ratio 6:11 then what is the ratio of their heights?
Question 7
A solid cylinder has the total surface area 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is
Question 8
If A be the surface area of cuboid of dimension x, y, z and V is its volume, then A/V will be equal to
Question 9
The diagonal of a square is 4√2 cm. The diagonal of another square whose area is double to that of the first?
Question 10
A rectangular floor of dimensions 18*12 is to be decorated in such a way that a circle of radius 5cm in the middle is to be painted blue then a square of side 10 cm inscribing the circle is to be painted pink. Find the cost if blue paint costs 5$/cm2 and pink paint costs 10$/cm2.
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Jun 10SSC & Railway