BE and CF are two altitudes of a Δ ABC. If AB = 6 cm, AC = 5 cm and CF = 4 cm, then the length of BE is

• 4.8 cm

• 7.5 cm

• 3.33 cm

• 5.5 cm

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 p.m. will be

• π/4

• π/3

• 5π/12

• π/2

63.

The value of  is

• 2

• 2.27

• 2.33

• 2.6

The average of 100 observations was calculated as 35. It was found later, that one of the observations was misread as 83 instead of 53. The correct average is

• 32.7

• 34.7

• 35.7

• 36.7

If      then 

• 

• 72

• 32

• 24

If  then the value of  

In a Δ ABC, BC is extended upto D; ∠ACD = 120°, ∠B = ∠A/2 then ∠A is

• 60°

• 75°

• 80°

• 90°

O is a centre of a circle and AB is the tangent to it touch at B. If OB = 3 cm and OA = 5 cm, then the measure of AB (in cm) is

• √34

• 2

• 8

• 4

If ,   the value of  is

The volume of the largest sphere (in cm³) that can be drawn inside a cube of side 18 cm is