Small Quiz

3

QUESTION 1

A Jar contains a mixture of Milk and Water 18 and 12 Liters respectively. When ‘x’ liter of the mixture is taken out and replaced with the same quantity of Water, then the ratio of Milk and Water becomes 2:3. Then what is the quantity of Water in final Mixture?

12

34

18

8

QUESTION 2

Two pipes A and B can fill a cistern in 15 hours and 10 hours respectively. A tap C can empty the full cistern in 30 hours. All the three taps were open for 3 hours, when it was remembered that the emptying tap had been left open. It was then closed. How many hours more would it take for the cistern to be filled?

3 h 36 m

3 h 26m

2h 36

4

QUESTION 3

The average speed of a train is 20% less on the return journey than on the onward journey. The train halts for an hour at the destination station before starting on the return journey. If the total time taken for the to and fro journey is 46 hrs, covering a distance of 2000 km, the speed of the train on the return journey is

60

20

40

30

QUESTION 4

A sum of Rs.7650 is to be divided between nabo and Amal who are respectively 18 and 19 years old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21. The present share of Amal is

2400

2500

3900

6500

QUESTION 5

The average age of a group of persons going for tour to alipore zoo is 22 years. 25 new persons with an average age of 10 years join the group and their average age becomes 12 years. The number of persons initially going for tour is?

5

6

6.5

7

QUESTION 6

Inlet M can fill an empty water tank in 30 hours while N can fill it in 45 hours. Inlet M and N are opened and closed alternatively i.e., first Inlet M is opened, then N, again M and then N and so on for 1 hour each time without any time lapse. In how many hours the water tank will be filled if it was empty, initially?

45

34

36

24

QUESTION 7

A sum of money is invested in Fund A at 7.5% per annum for SI. After 4 years an amount is received and that amount is invested in Fund B at 20% per annum for CI. If the interest received at the end of 2 years is 1430, find the initial invested amount?

2500

3200

2340

2550

QUESTION 8

Two Vessels P and Q. Both contain 20% Lime. The quantity of Vessel P is 4 times than that of quantity of Vessel Q. Both Vessel mixtures are mixed and form new R and 15 litre of water is added. The final ratio of water to Lime is now 19 : 4. Find the initial quantity of Lime in Vessel Q ?

3

2

4

7

QUESTION 9

The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and hypotenuse of the triangle. 

10 and 12

12 and 15

10     10 √(2) 

20 and 10 √(2) 

QUESTION 10

A train running at 7/11 of its own speed reached a place in 33 hrs. How much time could be saved if the train runs at its own speed?

 

12

15

16

17