The base of a right pyramid is an equilateral triangle with side 8 cm, and its height is 30 √3 cm. The volume (in cm3) of the pyramid is:

Directions: Read the pie chart carefully and answer the following questions.

Note: No new employees joined the given banks of left the given banks from January 2015 to December 2015.

In January 2015, the number of male Scale I Officers in Bank B was three times the number of female Scale I Officers in the same bank. If in Bank D, the number of female Scale I Officers was the same as that in bank B; what was the number of male Scale I Officers in Bank D?

In ∆ABC, ∠C=90⁰, Point P and Q are on the sides AC and BC, respectively, such that  AP:PC=BQ:QC=1:2.Then, $${AQ^2+BP^2}\over AB^2$$  is equal to:

A and B enter into a partnership with capital in the ratio 5: 6. After 4 months, A withdraws $$1\over 5$$of his capital, while B increases his capital by $$33{1\over 3}\%$$. What is the share (in ₹ lakhs) of B in the annual profit of ₹6.3 lakhs?

Given that √4096 = 64, the value of √4096 + √40.96 +√0.004096 is-

The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm², then find the length of each of the parallel sides (in cm).

The water in a river is flowing at the rate of 4 km/hr. If the width and depth of the river is 8m and 4m respectively, then how much water will enter the sea in 15 minutes.

If $${45\over53}={1\over{a+{1\over b+{1\over c-{2\over 5}}}}}$$  , where a, b and c are positive integers, then what is the value of (4a-b+3c)?