Q1. Find the number of lead balls of diameter 1 cm each, that can be made from a sphere of diameter 16 cm
(a) 4096
(b) 512
(c) 1028
(d) 2048

Q2. The area of the base of rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 cubic metres. The depth of the water in tank is:  
(a) 4 m 
(b) 6 m 
(c) 8 m 
(d) 10 m 

Q3. A right cylindrical vessel is full with water. How many right cones having the same diameter and height as that of the right cylinder will be needed to store that water? (Take 𝜋 = 22/7)   
(a) 4
(b) 2
(c) 3
(d) 5 

Q4. The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2 : 3 : 1, then the ratio of their volumes is 
(a) 2 : 9 : 2
(b) 4 : 9 : 1
(c) 4 : 27 : 2 
(d) 2 : 3 : 1 

Q5. A tire has three punctures. The first puncture alone would have made the tire flat in 20 minutes, the second alone would have done it in 24 minutes, and the third alone would have done it in 30 minutes. If air leaks out at a constant rate, how long does it take for all the three punctures together to make it flat?
(a) 10 minutes
(b) 12 minutes
(c) 8 minutes
(d) 11 minutes

Q6. A man, a woman or a boy can do a job in 20 days, 40 days and 80 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?
(a) 15 boys
(b) 18 boys
(c) 16 boys
(d) None of these

Q7. A can do 150% more work as B can do in the same time. B alone can do a piece of work in 35 hours. A, with help of B, can finish the same work in how many hours?
(a) 12
(b) 8
(c) 40/3 
(d) 10

Q8. A alone would take 9 days more to complete the job than both A and B would work together. If B worked alone, he took 4 days more to complete the job than A and B worked together. What time would they take, if both A and B worked together?
(a) 7 days
(b) 5 days
(c) 4 days
(d) 6 days

Q9. A contractor undertook to do a piece of work in 9 days. He employed certain number of laborers but 6 of them were absent from the very first day and the rest could finish the work in 18 days. Find the number of men originally employed.
(a) 15
(b) 6
(c) 12
(d) 9

Q10. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?   
(a) 0
(b) 1
(c) 10
(d) 19

Q11. If the mean of a, b, c is M and ab + bc + ca = 0, then the means of a^2+b^2+ c^2 is:  
(a) M^2
(b)  3M^2
(c) 6M^2
(d) 9M^2

Q12. The average of 7 consecutive numbers is 20. The largest of these numbers is:
(a) 20
(b) 22
(c) 23
(d) 24

Q13. The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is: 
(a) 15 years 
(b) 15.5 years 
(c) 16 years 
(d) Cannot be computed with the given information 

Q14. The average annual income (in Rs.) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then the average monthly income (in Rs.) of all the workers is: 
(a) (S+T)/2
(b) (S+11T)/2
(c) 1/11S+T
(d)  (11S+T)/12

Q15. In a class, 20% of the boys are same as 1/2 of the number of girls and there are 20 girls. Total number of students in the class is:  
(a) 70
(b) 120
(c) 220
(d) None of these