SSC CGL Tier-2 4th-September-2011 Maths

A motor boat,travelling at the same speed, can cover 25 km upstream and 39 km downstream in 8 hours . At the same speed it can travel 35 km upstream and 52 km downstream in 11 hours . The speed of the stream is

If a sum of money placed at compound interest, compound annually, doubles itself in 5 years, then the same amount of money will be 8 times of itself in

A person has left an amount of Rs. 1,20,000 to be divided between his two songs ages 14 years and 12 years such that they get equal amounts when each attains 18 years of age. If the amount gets a simple interest of 5% per annum, the younger son’s share at percent is

If $$a^{2} + b^{2}+ c^{2} = 2(a - b - c) - 3$$, then the value of (a - b + c) is

If $$x^2$$ + 3x + 1 = 0, then the value of$$ x^{3}+\frac{1}{x^{3}}$$

If $$x^{a}.x^{b}.x^{c}= 1$$ then the value of $$a^{3} + b^{3}+ c^{3}$$is

Base of a right pyramid is a square, length of diagonal of the base is 24$$\sqrt{2}$$ m. If the volume of the pyramid is 1728 cu.m. its height is

The height of a right circular cone and the radius of its circular base are respectively 9 cm and 3 cm. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum (i.e., the lover part) of the cone is 44 cubic cm. The radius of the upper circular surface of the frustum (taking π = 22/7 ) is

The ratio of radii of two right circular cylinders is 2 : 3 and their heights are in the ratio 5 : 4. The ratio of their curved surface area is

A solid cylinder has total surface area of 462 sq. cm. Curved surface area is 1/3 rd of it’s total surface area. What is the volume of the cylinder