SSC Apt Exam 04023

1. A person divides his total route of journey into three equal parts and decides to travel the three parts with speeds of 20, 15 and 10 km/hr respectively. Find his average speed during the whole journey

2 . The average salary of the entire staff in a office is ` 130 per month. The average salary of officers is ` 540 and that of non-officers is ` 114. If the number of officers is 16, then find the number of non-officers in the office. (a) 140 (b) 410 (c) 510 (d) 150 111.

3 . A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage :

4 . Rajesh purchased the ar- ticles for Rs. 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14% ?

5 . The number of seat in a cinema hall is increased by 25%. the cost of a ticket is also increased by 10%. The overall percentage increase in the revenue is:

6 . In an examination A got marks 10% less than B, B got marks 25% more than C, C got marks 20% less than D. If A got 360 marks out of 500, then D got marks:

7.In a sample of 50 litre glycerine there was 20% impurity. How many litres pure glycerine should be added to the mixture so that the impurity may reduce to 5% ?

8.Two vessels of same capacity contains a mixture of water and milk. The ratio of water and milk in the two vessels is 3 : 4 and 5 : 3 respectively. If the mixture of two vessels is poured into a third vessel. Find the new ratio of water and milk in the new mixture?

9. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finished it in 13 days. In how many days C alone will do the work?

10. A and B can do a piece of work in 45 days and 40 days respectively. They began to the do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:

11 . A walks at a uniform rate of 4 km an hour; and 4 hours after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A ?

12 . A thief, who was chased by a policeman was 100 metres ahead of the policeman initially. If the ratio between speeds of the policeman and the thief is 5 : 4, then how long thief would have covered before he was caught by the policeman?

13 . 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 :

14 . A person deposits a certain amount in the bank in the beggining of the year at 11% per annum rate of simple interest. If after three years he received `30012, Find how much amount does he deposit each year?

15 . A certain amount was lent out at 10% compound interest per annum for 1 1/2 years. But if the interest is compounded half yearly, ` 36.75 more is gained. Find the amount.

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20 . Three circles of radius 3.5 cm each are placed in such a way that each touches the other two. The area of the portion enclosed by the circles is

21 . The height of a conical tank is 60 cm and the diameter of its base is 64cm. The cost of painting it from outside at the rate of Rs. 35 per sq. m. is :