1 . A pipe can fill a tank in 15hrs. Due to leak in the bottom, it is filled in 20 hrs. If the tank is full, how much time will the leak take to empty it?
2 . In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.
3 . A and B can do a piece of work in 12 days. B and C can do it in 20 days. If
A is twice as good a workman as C, then in what time will B alone do it?
4 . In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.How many of these studied both Latin and Greek
5 . If a pipe A fills a tank in 10 hrs and pipe B empties it in 15 15 hrs, then in how much time will the tank be filled up if A & B are both opened?
6 . Out of three numbers, the first is twice the second and thrice the third. If their
average is 88, find the smallest number.
7 . What is the number whose 30% is 150
8 . There are two thousand families living in a country. 900 families possess cars
only, 607 possess both cars and two wheelers and 100 families possess none.
How many possess only two wheelers?
9 . The population of the lost continent Atlantis is 18,000. Atlantis has three cities A, B and C. Every
year the entire population of each city moves to the other two cities, half going to one of them and
the remaining half going to the other. The current population of A, B and C is 2000, 6000 and 10000
respectively. Then the population of A four years from now will be
10 . Two taps A & B can fill a water reservoir in 12 and 15 hrs respectively. How long would the two taps take to fill this reservoir if both are opened together?
6 1/4 hrs
6 1/2 hrs
11 . A cistern is normally filled in 6 hours, but takes 2 hours more to fill it
because of a leak at its bottom. If the cistern is full, how long will it take for
the leak to empty the cistern?
12 . A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine EXCEPT
13 . With a 4/5 full tank a vehicle can travel 12 miles, how far can it travel with a 1/3 full tank
14 . The average age of 30 kids is 9 years. If the teacher?s age is included, the
average age becomes 10 years. What is the teacher?s age?
15 . If 12 man can do a piece of work in 36 days. In how many days 18 men can do
the same work?
16 . A fruit seller sells mangoes at the rate of Rs.50 for 10 mangoes. For getting a profit
of 60%, how many mangoes he would have purchased for Rs.50?
17 . Find the number whose square is equal to the difference between the squares of
75.12 and 60.12
18 . Five years ago, the average of Raja and Rani?s ages was 20 yrs. Now the average
age of Raja, Rani and Rama is 30 yrs. What will be Rama?s age 10 yrs hence?
19 . A decorator bought a bolt of d m number of red chips in any one stack?
20 . A, B and C earn Rs.120 per day while A and C earn Rs.80 per day and B and
C earn Rs.66 per day. Find C?s earning only.