A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is  that of the pool, then the radius (in m) of the pool is

• 20

• 30

• 16

• 16

O is the centre of  and , then the measure of  is

• 125°

• 100°

• 130°

• 115°

A train leaves station A at 5:00 am and reaches station B at 9:00 am on the same day. Another train leaves station B at 7:00 am and reaches station A at 10:30 am on the same day. The time at which the two trains cross one another is

• 8:00 am

• 8:26 am

• 7:56 am

• 7:56 am

Ram deposited a certain sum of money in a compound at 12% per annum simple interest for 4 yr and deposited equal amount in fixed deposit in a bank for 5 yr at 15% per annum simple interest. If the difference in the interest from two sources is ₹ 1350,  then the sum deposited in each case is

• ₹ 4000

• ₹ 5000

• ₹ 6500

• ₹ 6500

The speed of a boat in still water is 6km/hr and the speed of the stream is 1.5 km/h. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is

• 10 h

• 4 h 10 min

• 6h 10 min

• 8 h

If  then find the integral value of  is 

• 1

• 2

• 0

• 0

The value of following is

• 2

• 5

• 3

• 3

A dealer sold a bicycle at a profit of 10%. Had he brought the bicycle at 10% less and sold it at a price ₹60 more, he would have gained 25%. The cost price of the bicycle was

• ₹ 2200

• ₹ 2000

• ₹ 2400

• ₹ 2400

If  then the value of  is 

120.

A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is

• 3.5 

• 

• 35

• 35