SSC Apt Exam 04074

1. There are two shirts and price of one is 100 more than that of other. If the dearer shirt is sold at 10% profit and the cheaper one at 10% loss then find the loss or profit on whole the transaction.

2. A man had two options of getting successive discount of 10%, 10% and 30% and the second of 40%, 5% and 5% respectively on the item of cost Rs. 5000. How much he can save by choosing the better option ?

3. A shopkeeper bought 150 calculaters for Rs. 250 each He spent Rs. 2500 on transportation and packaging. If he marks Rs. 320 for each calculater and also allows a discount of 5% find his profit percentage.

4. Four students A, B, C & D, sit in an exam. A gets 50% more marks than B, B gets 16 2/3 % more than C, and C gets 33 1/3 % more than D. If A gets 350 marks, and the maximum marks of the exam are 600. Find percentage marks of D

5. In an exam, Bhuvnesh scores 25% of the total marks and failed by 60 marks. Another student Saurabh in the same exam scores 50% of total marks and thus gets 40 marks more than passing marks. Then by how much % the passing marks should be increased to get full marks in the exam ?

6. 49 % of the sodiers of a cantonment speak Hindi and 36% speak English and 15% speak both Hindi and English. If 900 soldiers do not speak any of the languages, then find how many soldiers speak only English :

7. If (a +b) : (b+c) : (c+a) = 6 :7 : 8 and (a+b+c) =14, then the value of c is

8 . The ratio of the volume of water and glycerine in 240cc of mixture is 1 : 3. The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volumes of water and glycerine becomes 2 : 3 is

9 . The are two vessels of equal capacity, one full of milk, and the second one-third full of water. The second vessel is then filled up put of the first, the contents of the second are then poured back into the first till it is full and then again the contents of the first are poured back into the second till it is full. What is the proportion of milk in the second vessel?

10 . A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days after B and C leave. How many days more will A take to finish the work?

11 . A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 p.m. while machine P is closed at 11 pm and the remaining two ma-chine complete the work. Ap- proximately at what time will thework be finished?

12. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but they forced to leave after 3 days. The remaining work was done by A in?

13. 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 ?

14. 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?

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. ` 6000 was lent out at 10% per annum for 1 1/2 years. Find the amount of interest if the interest being payable compounded half yearly ?

17 . I bought a piece of land and in its value there was an increment of 20% per annum for 2 years but a decrement of 25% in the third year. And now I have to sell it for ` 1,08,000. At what amount did I buy it ?

18 . The population of a city increased by 10% in 1996 but due to some natural disaster, in 1997 it decreased by 5%. Again in 1998 it increased by 12%. If in the end of the year 1998 the population of the city was 46816, find the population of the city in the beginning of 1996.

19. The difference of the areas of two squares drawn on two line segments of different lengths is 32sq. cm, Find the length of the greater line segment if one is longer than the other by 2 cm.

20 . The perimeter of two squares are 24 cm and 32 cm. The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is :

21 . The perimeter of a rectangle is 160 meter and the difference of two sides is 48 meter. Find the side of a square whose area is equal to the area of this rectangle.

22 .A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of used wood is :

23 .If both the radius and height of a right circular cone are increased by 20%, its volume will be increased by

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