SSC Apt Exam 04006

1. The average weight of some students in a class is 43 kg. When 4 new students are included the average weight becomes 42.5 kg and the weight of those 4 students are 42, 36.5, 39 and 42.5 kg. Find the total no. of students in the class.

2. A batsman in his 16th innings makes a score of 60 and there by increase his average by 3. What is his average after 16th innings ?

3. The cost of production of a cordless phone set in 2011 is Rs.900 , divided between material, labour and overtheads in the ratio 3:4:2. If the cordless phone set is marked at a price that gives a 20% profit on the component of price accounted for by labour, what is the marked price of the set?

4. A wholeseller allows a discount of 20% on the list price to retailer. The retailer sells at 5% discount on the list price.If the customer paid Rs. 38 for an article, what profit is made by the retailer?

5. The ratio of amount distributed in all the male & female as salary is 6 : 5 while the ratio of salary of each male & each female is 2 : 3. Find the ratio of no. of male & female.

6. The ratio of last year income of A, B & C is 3 : 4 : 5. While the ratio of the last year income to current year income of A,B,C 4 : 5, 2 : 3 and 3 : 4. If their total current year income is ` 98,500. Find the present income of B+C.

`7. The population of a village is 1,00,000. The rate of increase is 10% per annum. Find the population at the start of the third year.

8. When 60% of number A is added to another number B, B becomes 175% of its previous value. Then which of the following is true regarding the values of A and B ?

9. The population of the Mukherjee Nagar is 10,000 at this moment. It increases by 10% in the first year. However, in the second year, due to immigration, the population drops by 5%. Find the population at the end of the third year if in the third year the population increases by 20%.

10. When 60% of number A is added to another number B, B becomes 175% of its previous value. Then which of the following is true regarding the values of A and B ?

11. A, B and C can complete a piece of work in 12, 15 and 20 days respectively. How many days they work together to complete the same work?

12. P, Q, R and S can complete a piece of work in 20, 30, 15, 45 hours respectively. How many hours they work together to complete the work?

13. P, Q, R and S can complete a piece of work in 20, 30, 15, 45 hours respectively. How many hours they work together to complete the work?

14 . ` 30,000 is paid back in three annual installments. If the interest on the rest of the money at 4% added to each installment, find all three installments.

15. The simple interest on a certain sum for two years is ` 600 while the compound interest is ` 900. Find the sum and rate of interest per annum

16 . A car travelling with 5/7 of its usual speed covers 42 km in 1 hour 40 min 48 sec. What is the usual speed of the car ?

17 . A and B started at the same time from the same place for a certain destination. B walking at 5/6 of A’s speed reached the destination 1 hour 15 minutes after A and B reached the destination in :

18 .

19 .

20 .

21.

22 . The perimeter of a rectangle is 160 meter and the difference of two sides is 48 meter. Find the side of a square whose area is equal to the area of this rectangle.

23 . The largest sphere is carved out of a cube of side 7 cm. The volume of the sphere (in cm3 ) will be

24 . Find the Remainder when 273 + 375 + 478 + 657 + 597 is divided by 25

25 . Find the Remainder when 77 × 85 × 73 is divided by 9