Quantitative Aptitude - Arithmetic Ability Questions

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

In the following question, select the missing number from the given series.34, 69, 140, 283, ?, 1145

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

What is the value of [tan (90 – A) + cot (90 – A)]2/[2 sec2(90 – 2A)]?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

Select the odd word/letters/number/number pair from the given alternatives.