1 . what is a percent of b divided by b percent of a?
2 . The efficiency of the first machine tool is 20% less than that of the 2nd
one. The first machine tool operated for 5 hours, whereas, the second one
operated for 4 hours and together they machined 4000 work pieces. Find the
number of work-pieces machined by the first machine tool.
3 . A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?
4 . In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
5 . A car covers a distance PQ in 32 minutes. If the distance between P and Q is
54km., find the average speed of the car.
6 . A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.
7 . If a shopkeeper sells an item for Rs.141, he loses 6%. In order to gain 10%, to
what price he should sell?
8 . A merchant sells an item at a 20 percent discount. but still makes a gross profit of 20 percent of the cost. What percent of cost would be gross profit on the item have been if it had been sold without the discount?
9 . A person is standing on a railway bridge 70m. Long. He finds that a train
crosses the bridge in 6 secs. but himself in 4 secs. Find the length of the train
and its speed in km/hr.
162 m , 180 km/hr
172 m , 170 km/hr
178 m ,164 km/hr
180 m , 162 km/hr
10 . The lowest temperature in the night in a city A is 1/3 more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the low temp?
11 . The average of 6 numbers is 8. What is the 7th number, so that the average
12 . A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east.How far is A from his starting point?
13 . Two piped A & B can fill a tank in 36 hrs and 45 hrs respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
14 . If two pencils cost 8 cents, then how much do 5 pencils cost?
15 . Two clocks begin to strike 12 together. One strikes in 33 seconds and the
other in 22 secs. What is the interval between the 6th stroke of the first
and the 8th stroke of the second?
16 . If a man travels at a speed of 20 km/hr, then reaches his destination late by
15 minutes and if he travels at a speed of 50 km/hr. Then he reaches 15
minutes earlier. How far is his destination?
17 . A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black
begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
18 . A train travels 18 km/hr. How many metres will it travel in 12 minutes.
19 . There are 728 students in a school, 162 come to the school by bus, 384 on bicycles
and the rest by walk. What percentage of students comes to the school by walk?
20 . What is the max possible 3 digit prime number?