SSC Apt Exam 04035

1. 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 ?

2 . The average of five consecutive natural number is m. If the next three natural numbers are also included, how much more than m will the average of these numbers be?

3 . The average of four positive integers is 72.5. The highest integer is 117 and the lowest integer is 15. The difference between the remaining two integers is 12. Which is the higher of these two remaining integer ?

4. A person bought a horse and a cart for 5000 rupees. He sold horse at 20% profit while the cart at 10% loss in all he was able to make a profit of 2%. Find the difference of cost price of the horse and cart.

5 . A man sold a watch at 20% profit. Had he bought at 10% less and sold it at 75 rupees less, he would have earned 1/6 of the new cost price. If the wants to make a profit of 40% at initial cost price then find the selling price of the watch.

6 . When Rajesh was asked to draw an angle of 45°on paper, he draws an angle of 45° 27’ . Find the percentage error made by Rajesh

7 . In a group of students, 70 % can speak English and 65 % can speak Hindi. if 27 % of the students can speak none of the two languages, then what per cent of the group can speak both the languages ?

8 . Ratio of income of A, B, C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5. If A saves 14 2/7 of his income. Find the ratio of their saving.

9 . A dog takes 7 jumps for every 10 jumps of the lion and a fox takes 12 jumps for every 10 jumps of the lion. And the distance covered by dog in 5 jumps, distance covered by lion in 15 jumps and the distance covered by fox in 20 jumps is equal. Find the ratio of their speeds.

10. If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in :

11 . 6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work. In how many days will 5 men finish the same work?

12 . A man goes from Mysore to Bangalore at a uniform speed of 40 km/hr and comes back to Mysore at a uniform speed of 60 km/hr. His average speed for the whole journey is

13 . A man completed a certain journey by a car. If he covered 30 % of the distance at the speed of 20 km/hr, 60 % of the distance at 40 km/hr and the remaining distance at 10 km/ hr his average speed for the whole journey was :

14. A man has to travel 200 km. In starting he travels 50 km at a speed of 40 km/h. After this every 50 km he travels 5 km/ h faster than the previous speed. At the time of returning first 50 km he travels at a speed of 10 km/hr. After this every 50 km he travels 10 km/ h faster than the previous speed. Then find the average speed of the man during the whole journey?

15. The side AB of a parallelogram ABCD is produced to E in such way that BE = AB, DE intersects BC at Q. The point Q divides BC in the ratio

16 . ABCD is a trapezium whose side AD is parallel to BC, Diagonals AC and BD intersect at O. If AO = 3, CO = x –3, BO = 3x –19 and DO = x – 5, then the value(s) of x will be :

17 .

18 .

19 . The radius of a circular wheel is 1.75m. The number of revolutions that it will make in travelling 11 km, is

20. The circum-radius of an equilateral triangle is 8 cm. The in- radius of the triangle is

21. Three solid metallic spheres of diameter 6 cm, 8 cm and 10 cm are melted and recast into a new soild sphere. The diameter of the new sphere is :

212. Three solid spheres of a metal whose radii are 1 cm, 6 cm and 8 cm are melted to form an other solid sphere. The radius of this new sphere is

23. Find the unit digit of 641 × 673 × 677 × 679 × 681

24. Find the unit digit (3694)1793 × (615)317 × (841)941

25 . Find the number of zeroes at the end of the product 47!