1. The bisector of interior ∠A of ∆ABC meets BC in D, and the bisector of exterior ∠A meets BC produced in E. Then BD/BE=?
(a) CE/CD
(b) CD/CE
(c) AD/AE
(d) AE/AD
2. A rectangular tank is 45 m long and 26 m broad. Water flows into it through a pipe whose cross-sections is 13 cm^2, at the rate of 9 km/hour. How much will the level of the water rise in the tank in 15 min?
(a) 0.0016 m
(b) 0.0020 m
(c) 0.0025 m
(d) 0.0018 m
3. The diameters of the outer and inner circumference of a cylindrical ring are 10.75 cm and 9.5 cm respectively. Find the surface area of the ring
(a) 52.52 cm^2
(b) 62.52 cm^2
(c) 62.62 cm^2
(d) 52.62 cm^2
4. A rectangular sheet of paper, 36 cm × 22 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.
(a) 2682 cm^3
(b) 6822 cm^3
(c) 2782 cm^3
(d) 1386 cm^3
5. A pyramid on a square base has four equilateral triangles on its four other faces, each edges being 10m. Find its volume.
(a) 235.7 m^3
(b) 253.7 m^3
(c) 532.7 m^3
(d) 352.7 m^3
6. Two circles of radii 5 cm and 3 cm intersect at the two points and the distance between their centres is 4 cm. Find the length of the common chord.
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) 7 cm
7. A vertical pole fixed to the ground is divided in the ratio 1 : 9 by a mark on it, the two parts subtend equal angles at a place on the ground, 15 m from the base of the pole. If the lower part be shorter than the upper one, find the height of the pole.
(a) 133 m
(b) 134 m
(c) 135 m
(d) 132 m
8. Two tangents drawn from an external point to a circle are at right angles and measure 3.5 cm each. The area of the circle is
(a) 38.5 cm^2
(b) 28 cm^2
(c) 31 cm^2
(d) Insufficient data
9. A right angled triangle of which the sides containing the right angles are 36 cm and 15 cm is made to turn round on its longer side. Find the curved surface area of the solid so generated.
(a) 2220 cm^2
(b) 2210 cm^2
(c) 1836.9 cm^2
(d) 2120 cm^2
10. A two digit number is 4 times the sum of its digits and twice the product of the digits. Find the number.
(a) 54
(b) 63
(c) 45
(d) 36
Note : Answers will be updated soon..........
Note : Answers will be updated soon..........
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