SOLVE FOR GETTING 100% MARKS

SOLVE FOR GETTING 100% MARKS

Q1. A  Solid is hemispherical at the bottom and conical above if the surface areas of two parts are equal then find the ratio of the radius and the height of the conical part.

Q2. A cone is cut into two parts by a horizontal plane passing through the midpoint of its axis .Find the ratio of the volumes of the upper part and the cone.

Q3. The curved surface area of a cylinder is 264 m2 and its volume is 924m3 .find the ratio of its diameter to its height.

Q4. Find the volume of the greatest sphere that can be cut from a cylindrical log of wood of base radius 1cm and height 5cm.

Q5. Two tanks are of the same capacity the dimensions of the first tank are 12cm X8cmX4cm. The second tank has a square base with depth 6cm find the side of the square.

Q6. Areas of three adjacent faces of a cuboid  are 24cm² ,8cm² and 12cm² respectively .Find the volume of the cuboid .

Q7. A cone of height 10cm and radius 10cm is to be divided in into two parts by cutting through the midpoint of vertical axis .find the volume of the upper conical part.

Q8. The area of the base of a cone is 770cm² and the curved surface area is 814cm². Find the volume of the cone.

Q9. The ratio of the outer and inner perimeters of a circular path is 23:22.If the path is 5m wide then find the diameter of the inner circle.

Q10. Find the area of the largest triangle that can be inscribed in a semicircle of radius 7cm .

Q11. The area of a  circle is 220cm² .Find the area of a square inscribed in it .

Q12. A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm if bucket ascends in 1 min 28sec with a uniform speed of 1.1m/sec .then calculate the number of complete revolutions the wheel makes in raising the bucket.

Q13. Interior angles of a polygon are in AP. If the smallest angle is 120⁰ and the common difference is 5⁰, find the number of sides of the polygon.

Q14. 150 workers were is engaged to finish a piece of work in a certain number of days .Four workers dropped the second day , four more workers dropped the third day and so on .It takes 8 more days to finish the work now. Find the number of days in which the work was completed.

Q15.Find the sum of all three digit numbers which leaves the remainder 2 when divided by 3.

Q16. The ratio of the sum of n terms of 2 AP’s is (7n +1) :( 4n +27). F ind the ratio of 5^th term.

Q17. If x=√2 is a solution of the quadratic equation  x²+kx-4=0 then find the value of k.

Q18. One-fourth of herd of elephant was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 elephants were seen on the bank of river .Find the number of elephant.   

Q19. A polygon of n sides has n(n-3)/2 diagonals .How many sides has a polygon with 54 diagonals ?

Q20. By a reduction of Rs 1 /kg in the price of sugar zenith can buy one kg more sugar for Rs 56.F ind the original price of sugar per kg.