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Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
The ratio of the driving tensions for V-belts is __________ times that of flat belts.(Where β = Semi-angle of the groove)
The ratio of driving tensions for flat belts, neglecting centrifugal tension, is (where T1 and T2 = Tensions on the tight and slack sides of belt respectively, $$\mu $$ = Coefficient of friction, between the belt and pulley and $$\theta $$ = Angle of contact)
Six flats A, B, C, D, E and F are located in two rows of three flats each. The flats in both the rows face each other. Flat D is diagonally opposite to flat C. Flat E is opposite to flat F, which is north facing. Flat C is 2nd to the left of A and both of flats are south facing. Which of the following flats is facing flat B?
Consider the following statements regarding V-belt drive : 1. The groove angle of the sleeve is less than the belt section angle 2. The efficiency of a V-belt drive is higher than that of a flat belt drive 3. The groove angle is so made that the belt gets wedged in the groove  Which of the above statements are correct ? 
The ratio of the driving tensions for V-belts is _____________ times that of flat belts.
The ratio of driving tensions in V-belt drives is __________ flat belt drives.
$$\eqalign{ & {\text{The}}\,{\text{value}}\,{\text{of}} \cr & \frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}\,\text{is}: \cr} $$
The value of $$\left( {\frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}} \right)$$       is :