SSC Apt Exam 04020

1. In a account grove, (x + 2) trees yield 60 nuts per year per tree, x trees yield 120 nuts per year per tree and (x – 2) trees yield 180 nuts per year per tree. If the average yield per year per tree be 100. find x.

2. The average salary of 97 workers, 2 assistant managers and one senior manager is Rs. 1500. The salary of each assistant manager is Rs. 3000 and that of the senior manager is Rs. 4000. One assitant manager and the senior manager were replaced by two new people with salaries of Rs/ 3500 and Rs. 4500. Find the new average salary of all the employees:

3. A tradesman fixed his selling price of goods at 30 % above the cost price. He sells half the stock at this price, one-quarter of his stock at a discount of 15 % on the original selling price and rest at a discount of 30 % on the original selling price. Find the gain percent altogether :

4. Cost price of two motorcycles is same. One is sold at a profit of 15 % and the other for Rs. 4800 more than the first. If the net profit is 20 %. Find the cost price of each motorcycle :

5. The monthly income of a person was Rs. 13,500 and his monthly expenditure was Rs. 9,000. Next year his income increased by 14 % and his expenditure increased by 7%. The percent increase in his savings was :

6. In the half yearly exam only 70% of the students were passed. Out of these (passed in half yearly) only 60% student are passed in annual exam. Out of those who did not pass the half yearly exam, 80% passed in annual exam. What per cent of the students passed the annual exam?

7.The percentage of sugar in the first solution is 15% while in the second it is 5%. How many litres of the second solution should be mixed with 20 litre of first solution so that the new soulition so obtained contains 10% sugar.

8 .In some quantity of pure milk costs 3 Rs. per litre 4 litre water is mixed. The milkman sold the mixture at the cost price and earned 20% Profit. Find the quantity of pure milk in the mixture sold.

9 . X and Y can do piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did he work least?

10 . A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many day A alone can finish the job?

11. P and Q start running a race on the given track as shown in figure: Where AC and BC are mutually perpendicular and CD is the median of triangular paths ABC. BC is 100 km longer than that of AC, and CD is 250 km. The speeds of P and Q are 30 km/h and 40km/h, respectively and their respective paths of running are CADC and CBDC. After how much time they reverse their speeds so that they return C at the same time?

12. A candle of 6 cm long burns at the rate of 5 cm in 5 h and another candle of 8 cm long burns at the rate of 6 cm in 4 h. What is the time required by each candle to remain of equal lengths after burning for some hours, when they start to burn simultaneously with uniform rate of burning?

13 . X, Y and Z are three friends. X took loan from Y and Z of ` 1200 and 1600 at 5% per annum and at 4% per annum respectively for 3 years. After the completion of the time X returned the amount with interest to Y and Z. Being a friend Y and Z returned 1% of the interest they received from X. Find the actual interest X paid to Y and Z.

14 . The ratio of two amounts is 4 : 5. If they are lent out at compound interest for 2 years and 1 year respectively, then the equal amount is received. Find the rate of interest per annum.

15 . A candle of 6 cm long burns at the rate of 5 cm in 5 h and another candle of 8 cm long burns at the rate of 6 cm in 4 h. What is the time required by each candle to remain of equal lengths after burning for some hours, when they start to burn simultaneously with uniform rate of burning?

16 . Resting 9 hrs. a day Rajesh kuma travels a certain distance in 40 days. Resting double the time how many days will he take to travel double the distance at double the speed ?

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21. A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, the time required by A to go round the new path once travelling at the same speed as before is :

22 . A cuboidal shaped water tank, 2.1 m long and 1.5 m broad is half filled with water. If 630 litres more water is poured into tank, the water level will rise

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