Quantitative Aptitude 8

                                     Quantitative Aptitude                             

                                                        

1. In a group of 30, 7 study Maths but not Physics, 12 study Maths and 6 study neither Maths nor Physics. How

many students study Physics but not Maths?

1) 12 2) 10 3) 15 4) 16 5) None of these

2. A shopkeeper purchased some rice for Rs. 450. One third of the rice was sold at a loss of 10% At what % gain

should the remainder be sold so as to gain 20% on the whole transaction?

1) 25 2) 30 3) 35 4) 40 5) 45

3. A can do a job in 12 days and B can do it in 15 days. A started the work and was joined by B 5 days before the

completion of the work. What is the share of B out of the total wages of Rs 120 ?

1) Rs. 40 2) Rs. 35 3) Rs. 45 4) Rs. 37 5) None of these

4. The daily sale of A who sells at 5% profit is Rs 2100. To find that by how much is daily income of A more than

that of B, which of the following statements is necessary ?

A. The daily sale of B is Rs 345

B. B sells at 15% profit.

C. A’s income is Rs. 105.

1) Only A alone is sufficient 2) Only B alone is sufficient 3) Only C alone is sufficient

4) All the three together are necessary 5) Only A and B together are sufficient

5. If the radius of the base and the height of a cylinder and a cone are each equal to r, and the radius of a

hemisphere is equal to 2r, then the volumes of the cone, the cylinder and the hemisphere are in the ratio

1) 3 : 1 : 16 2) 2 : 1 : 8 3) 1 : 3 : 9 4) 1:3:12 5) None of these

6. The train A is 280m long while B is 350 m long. Their speeds are 36km/hr and 27 km/hr respectively. They are

moving in opposite directions. They meet near a pole. In how much time will both of them clear the pole

1) 74 2/3sec 2) 46 2/3sec 3) 28 sec 4) Can’t say 5) None of these

7. A train crosses another train coming from the opposite direction in 18 sec. If the length of the train is 100 m.,

then to find out the speed of the train which of the following statements P,Q and R is sufficient/necessary ?

P. The speed of the other train is 60 km/h.

Q. The train passes a platform in 14 sec.

R. The other train passes a telegraph pole in 6 sec.

1) Only P and Q are sufficient. 2) Only Q and R are sufficient. 3) Only P and R are sufficient.

4) All P,Q and R together are necessary. 5) None of these

8. An oblong piece of ground measures 19.25m by 12.5 m. From the middle of each side a path 2m wide goes

across to the middle of the opposite side. What is the cost of paving the path at the rate of Rs. 1.32 per m2?

1) Rs. 78.54 2) Rs. 78.45 3) Rs. 74.85 4) Rs. 68.54 5) None of these

9. A water tank has been fitted with two taps. Tap A drains out at the rate of 6 litres per minute and tap B

at the rate of 8 litres per minute. If the tank is full, in how many hours will it be emptied if both the taps work

together ?

To find the solution which of the following statements is necessary ?

P. The tank can contain 20000 litres of water.

Q. The radius of each tap is 2 cm.

R. If they work independently, the ratio of time taken by A and B is 4 : 3.

1) Only P alone is sufficient 2) Only Q alone is sufficient 3) Only R alone is sufficient

4) P and R together are sufficient 5) All the three together are sufficient

10. The average marks of the first ten students in a class is 78 and the average marks of the last ten students in

a class is 58. If there are 25 students in the class and the average of all the students is 63, then find the marks

of the 13th students.

1) 60 2) 63 3) 65 4) 75 5) Can’t be determined

Answers

1. 1

2. 3

3. 1

4. 5

5. 1

6. 2

7. 5

8. 1

9. 1

10. 5