FCI Assistant Grade III 2012

Areas of three adjacent faces of a rectangular parallelepiped are 12 sq.m., 15 sq.m. and 20 sq.m. The volume (in cu.m.) of the parallelepiped is

If the volumes of two conesare in the ratio 1 : 4 and the diameters of their bases are in the ratio 4 : 5, then the ratio of their heights is

The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98 m sq. cm.If the outer diameter is 8 cm, then the inner diameter in cm is

An open box is made of wood 3 cm thick. Its external dimensions are 1.36 m, 1.06 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm (in ₹)is

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical bails. The diameter of two of these are 1.5 cm and 2 cm respectively. the diameter of the third ball is

If$$x= 2+\sqrt{3}$$ then the value of $$x^{2} - 4x +2$$ is

The circumradius ofthe triangle formed by the straight line 3x + 4y = 12 and the coordinate axes is

If $$x \left(3 - \frac{2}{x}\right) = \left(\frac{3}{x}\right)$$ then value of $$x^{2} + \frac{1}{x^{2}}$$ is

If $$a^{2} + b^{2} - c^{2}$$= 0, then the value of $$\frac{a^{6}+b^{6}-c^{6}}{a^{2} b^{2} c^{2}}$$ is

If a, b, c, d are four non-negative real numbers and a+b+c+d= 1, then the maximum value of ab + be + cd is