SSC Apt Exam 04025

1. The average age of the three boys is 15 years. Their ages are in the ratio 3 : 5 : 7. Then the age of the oldest is

2 . The population of a town increased by 20% during the first year, by 25% during the next year and by 44% during the third year. Find the average rate of increase during 3 years.

3 . Due to an increase of 30% in the price of eggs, 3 eggs less are available for Rs. 9.10. The present rate per egg is :

4 . A company instead of raising the mark-up by 20% discounted the cost price by 20% while stiching the price tag on its product. Further the company offers a discount of 6.25% to its customer. In this process company incurs a loss of Rs. 37.5 on a single article. What is the selling price of that article ?

5 . In a 200 grams mixture of water, spirit and alcohol the quantity of water, spirit, alcohol are 20%, 30% and 50% respectively. If 20 gm alcohol is added to the mixture and the quantity of water be doubled in the mixture then find their respective ratio of their quantities in the mixture.

6 . In an election there were only three candidates. 10% of the total votes could not be cast and 10,000 votes were found invalid. The winning candidate got 52% of the valid votes and the candidate at third position got 12% votes. If the candidate at second position got 28800 votes, then find the total number of votes.

7 .In first type of 10 litre wine alcohol is 26% while in second type of 15 litre wine, alcohol is 45% If both types of wines are mixed together what will be the percentage of alcohol in the mixture?

8 .In a vessel the ratio of milk and water is 4 : 5 18 litre mixture was taken out and replaced with 16 litre water. In this way the ratio of milk and water becomes 4 : 7. Find the initial quantity of mixture.

9 . A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half of a day daily, then in how many days A and B together will complete the work ?

10 . A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be complete in:

11 . A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km per hour and 11 k.m. per hour respectively. What is the distance between them after 6 minutes?

12 . P and Q are 27 km away. Two trains with speeds of 24 km/ hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is:

13 .Due to the decrease in the interest rate from 11.5% to 10% the income of a man decreases by 55.50. Find the amount.

14. Anjali deposited some amount in UTI bank at 10% per annum and she hopes that the bank will give her some interest. Bank lends this amount to a company at 12% per annum but interest compounded half yearly. After one year bank pays interest to Anjali and makes a profit of ` 1888. Find the amount that Anjali deposited in the bank-

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

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

22 . 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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24 . The cost of 2 sarees and 4 shirts is Rs. 16000 while 1 saree and 6 shirts cost the same. The cost of 12 shirts is :

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