SSC Apt Exam 04024

1. A car runs for t1 hours at v1 km/ hr, t2 hours at v2 km/hr. What is the average speed of the car for the entire journey?

2. The average of Suresh’s marks in English and History is 55. His average marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?

3. Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :

4 . What should be the minimum markup percentage such that after giving a discount of 66 2 % 3 , there will not be a loss ?

5 . If the price of sugar is decreased by 20%, a person can buy 2 kg more sugar for 360 rupees. Find the original and present price of sugar/kg.

6. In an exam 900 girls 1100 boys appeared. In which 40% of girls and 50% of the boys passed the exam. Find the percentage of failed students.

7 .Four vessels contains the mixture of milk and water the ratio of milk and water in the vessels is 5 : 3, 2 : 1, 3 : 2, and 7 : 4 respectively. In which vessel, milk is the least in comparison with water.

8 .In three alloys A, B and C the percentage of copper is 80%, 75% and 70% respectively and the percentage of tin is 15%, 15% and 25% respectively and the remaining is nickel. If 10 kg, 15 kg and 50 kg of the three alloys be mixed together, find the ratio of copper, tin and nickel in the mixture thus obtained.

9. A, B and C complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?

10 . A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is:

11. A jeep is chasing a car which is 5 km ahead. Their respective speeds are 90 km/ hr and 75 km/hr. After how many minutes will the jeep catch the car?

12. A train starts from A at 7 a.m. towards B with speed 50 km/h. Another train from B starts at 8 a.m. with speed 60 km/h towards A. Both of them meet at 10 a.m. at C. The ratio of the distance AC to BC is :

13. a, b, c and d are such that a is the interest of b, b is the interest of c and c is the interest of d. If in all three conditions the rate of interest and time be the same which term will show the ratio of a to d ?

14 . Sita invested some amount for 3 years and bought a share of a company. Company promised her to give a return of simple interest at 1 6/4 per annum. Her sister Geeta invested the same amount in another company but her company gives her the compound interest at same rate. If after 3 year Sita's sister got ` 717.77343 more than Sita, find the amount invested by each and also find the interest recieved by Sita.

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19. The perimeter of a triangle is 30 cm and its area is 30 cm². If the largest side measures 13 cm, What is the length of the smallest side of the triangle?

20 . A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

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25 . The equations 2x + y = 5 and x + 2y = 4 are