The value of  is

• 3

• 4

• 1

• 2

102.

The tangents drawn at the points A and B of a circle centred at O meet at P. If  then  is

• 3 : 2

• 4 : 1

• 2 : 1

• 2 : 5

The distance between the points (0, 0) and the intersecting point of the graph of x = 3 and y = 4 is

• 3 units

• 2 units

• 5 units

• 4 units

The value of 
(1 + sec 20° + cot 70°) (1 - cosec 20° + tan 70°) is

• -1

• 2

• 1

• 0

The value of x when 5% of  is 0.01 will be

• 0.02

• 0.01

• 0.05

• 0.03

If  then the value of x is

• 

• 1

• 

• 

The rate of simple interest at which a sum of money becomes three times in 25 yr is

• 8%

• 5%

• 4%

• 6%

A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. The work as finished in next 4 days. The number of days in which C alone could do the work is

• 30 days

• 45 days

• 40 days

• 35 days

The odd element in the sequence
3, 7, 13, 21, 33, 43, 57, ............ is

• 33

• 43

• 7

• 21

A container has 80 L of milk. From this container, 8 L of milk was taken out and replaced by water. The process was further repeated twice. The volume of the milk in the container after that is

• 58.23 L

• 85.23 L

• 58.32 L

• 85.32 L