SSC Apt Exam 04033

1. There are 3 natural no. if average of any 2 no. is added to the third no. 24, 20 and 18 will be obtained. Find all the natural no. 15. There are 3 natural no. if average of any 2 no. is added to the third no. 24, 20 and 18 will be obtained. Find all the natural no.

2. The average age of boys of a school is 12 years and of girls is 11 years. If the total no. of boys is 480. Then find the no. of girls if the average age of school 11 years 9 months.

3. If the bowling average of a bowler is 12.4 run per wicket. He takes 10 wickets in his next innings by giving 52 runs, due to this his bowling average is improved by 0.4 run per wicket. Find the total no. of wickets taken by him at present.

4. A shopkeeper bought 25 metres cloth for RS .20 and he sold 20 metres cloth for RS .25. Find the profit or less percentage.

5 . A machine when was sold at 1230 the seller incurred a loss of 18%. If he wants to make a profit of 6 1 % 4 at what rate he must sell the machine ?

6. In a bag there are 600 coins of 25 paisa and 1200 coins of 50 paisa. If 12% coins of 25 paisa and 24% coins of 50 paisa are taken out the bag. Then find how much percentage of the total amount has been taken out from the bag?

7. In an exam 70% of the students passed from school A. In school B, number of students appeared was 20% more than that of A and the number of passed student was 50% more than that of A. Find the percentage of students passed from school B.

8. A shopkeeper sold his cooler at 10% discount on the marked price. If he had given 12% discount on the marked price, the profit of the shopkeeper would have been Rs. 35 less. Find the marked price of the cooler.

9. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

10 . Three vessels each of 10 litres capacity contain a mixture of milk & water in the ratio 2 : 1, 3 : 1 and 3 : 2. If all the three vessels are emptied into a large vessel, find the ratio of milk and water in the new mixture.

11 . A 2 kg metal of which 1/3 is zinc and rest is copper mixed with 3 kg of metal of which 1/4 is zinc and rest is copper. What is the ratio of zinc to copper in new mixture ?

12. A and B can do a piece of work in 20 days working together. They work for 5 days and after it C assists them and the work is completed 5 days before. If 3 days work of B is equal to 2 days work of C. Find in how many hours they can do it separately.

13 . A, B, C and D can do a piece of work in 12, 16, 24 and 36 days. A starts the work and after each day B, C and D join the work respectively. Find the time to complete the task.

14 . A, B, C and D can do a piece of work in 24, 16, 32 and 12 days respectively. If A started the work and after one day B and C also joined him. After two days of that A left the job and mean while D joined the work. If B and C left the work 2 days and 4 days respectively before the completion of work. Find how many days D had done the work?

15 . Two ants start simultaneously from two ant holes towards each other. The first ant covers 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant travelled 800 feet to the meeting point :

16 . Karim, a tourist leaves Delhi on a bicycle.Having travelled for 1.5 h at 16 km/h, he makes a stop for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and local guide Rahim leaves Delhi on a motorcycle and rides with a speed of 28 km/h in the same direction as Karim had gone. What distance will they cover before Rahim overtakes Karim:

17. A cyclist left point A for point B and travelled at the constant speed of 25 km/h. When he covered the distance of 8.33 km, he was overtaken by a car that left point A, 12 minutes after the cyclist and travelled at a constant speed too. When the cyclist travelled another 30 km, he encountered the car returning from B. Assume that the car did not stop at point B. Find the distance between A and B :

18 . A man lent out ` 8400 in two parts first at 11% per annum and second at 15% per annum. If the simple interest received after two years is ` 2232. Find each part.

19 .The difference between CI and SI for a certain sum of money at 10% per annum for 3 years is ` 620. Find the principal if it is known that the interest is compounded annually.

20 .In what time will ` 800 become ` 926.10 at 10% per annum interest compounded half yearly.

21. What will be the present value of payable ` 14580 after two years at 8% per annum compound interest ?

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24 . If the area of a triangle with base 12 cm is equal to the area of square with side 12 cm. the altitude of the triangle will be

25 . 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?