SSC Apt Exam 04040

1. A man sold an article at 10% loss. Had he bought it at 20% less and sold it for Rs. 55 more, he would have earned 40% profit find the cost price of the article.

2. The marked price of a shirt and a pant are in the ratio of 1:2. A shopkeeper allows 40% discount on shirt and 30% discount on the both pant shirt together. Find the discount percentage given on the pant.

3. A shopkeeper marks his goods 20% above the cost price. If he allows a discount of Rs. 31.20 over a bill of Rs. 312. Find his profit percentage.

4. If population of a village is 2000, if population increases by 10% in Ist two years and by 5% in last 3 years, then determine the population of village after 5 years (approx):

5 . The price of a ticket of a circus is 12. When the price of the ticket is reduced, then the no. of visitors increases by 80%, and hence total earnings of circus increases by 20%. Find the current price of a ticket ?

6 .In the mixture of 48 litre the ratio of milk to water is 5 : 3. How many litres water should be added to the mixture so that the ratio of milk and water may reverse ?

7 .In 700 ml solution of 18% alcohal, how much quantity of pure alcohol is to be added so that the new solution contains 30% alcohol.

8 .A milkman says that he sells milk at cost price but he makes 16 2/3 profit by mixing water to milk. If he sells 14 litre (mixture) milk, find the quantity of water in the mixture.

9. A group of workers can complete a job in 9 days. But it so happens that every alternate day starting from the second day, 2 workers are withdrawn from the job and every alternate day starting from the third day one worker added to the group. In such a way that the job is finished by the time and there is no worker left. If it takes double the time to finish the job now, find the number of workers who started the job?

10 . A man has three sons. The man can do twice the work of his three sons. The first and the second son can do the work in 24 days and 36 days respectively. If the man completes the work in 3 3/11 days. Then find out the time taken by the third person to finish the work ?

11 . A completes half as much work as B in equal time and C completes half as much work as (A+B) in equal time. If C alone can complete the work in 40 days then in how many days they complete the work together?

12 . A tourist covered a journey partly by foot and partly by tonga. He walked for 90 km and rode the tonga for 10 km. He spent 4 h less on the tonga than on walking. If the tourist had reversed the time he travelled by foot and on tonga, the distances travelled on each part of the journey would be equal. How long did he ride the tonga ?

13 . An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive, then the difference between the path it would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds)

14 . A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km:

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20 . If the perimeter of a right angled triangle is 56 cm and area of the triangle is 84 sq. cm, then the length of the hypotenuse is (in cm)

21 . A gear 12 cm in diameter is turning a gear 18 cm in diameter. When the smaller gear has 42 revolutions. how many has the larger one made?

22.The radius of a cylinder is 10 cm and height is 4 cm. The number of centimetres that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is

23 .The circumference of the base of a 16 cm high solid cone is 33 cm What is the volume of the cone in cm3 ?

24 .A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

25 .A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm find the the volume of wooden toy (nearly).