1. Find the ratio of the volume of a sphere to that of a cube which will fit inside the cube ?

1) π : 6 2) 6 : π 3)12:3π 4) 3π : 12 5) None of these

2. A cone, a cylinder, a hemisphere stands on the same base, and has the same heights. Find the ratio of their curved surface area ?

3. Ramesh has two cone-shaped steel bowls, with heights of ratio 6 : 4 and diameter are in the ratio 3 : 5, what is the ratio of their volumes ?

1) 28 : 64 2) 27 : 50 3) 50 : 27 4) 64 : 28 5) None of these

4. A labour was employed for 40 days. He gets `10 for every working days and `2 was deducted from his wages on every leave. At the end he got total `220. Find the number of working days ?

1) 16 days 2) 25 days 3) 36 days 4) 26 days 5) None of these

5. Rajesh was asked to calculate average of ten, two digit number. By mistakes he replaced digits of a number therefore the obtained average will decrease by 3.6. Find difference of digits of this number ?

1) 8 2) 3 3) 10 4)4 5) None of these

Direction (Q. 6-8): Each of the equations below consists of a equations and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both statements and :

1) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone a r e not sufficient to answer the question.

2) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone a r e not sufficient to answer the question.

3) If the data in statement I alone or in statement II alone are sufficient to answer the question.

4) If the data in both the statement I and II are not sufficient to answer the question.

5) If the data in both the statement I and II together are necessary to answer the question.

6. What is the average speed of a car ?

I. The average speed of the car is 7 times the average speed of a truck where as the average speed of a bus is 49 km/hr.

II. The average speed of the truck is half of the average speed of a train where as the average speed of a Jeep is 60 km/hr.

7. What is the total cost of 5 kg. of Potato and 2 kg. of Mangoes together ?

I. The cost of 2 kg. of Potato is `360 and 1 kg. of Mango is `70.

II. The total cost of 5 kg. of Potato and 4 kg. of Mangoes is `440.

8. What is the simple interest accrued on a principal of `7600 in six years ?

I. The rate of the simple interest for the first 2 years is 5 pcpa.

II. The rate of the simple interest for the next 4 years is 8 pcpa.

9. Bowling rate a bowler was 15.4 per wicket. In the next match he took 5 wickets by giving 31 runs, therefore his bowling rate improved by 0.4 runs. Find number of wickets taken by him after this match ?

1) 110 wickets 2) 115 wickets 3) 105 wickets 4) 120 wickets 5) None of these

10. A solution of salt and water contains 15% salt by weight. Of it 30 kg. water evaporates and the solutions now contains 20% of salt. Find the original quantity of solution ?

1) 72 kg. 2) 80 kg. 3) 90 kg. 4) 120 kg. 5) None of these

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