SSC Apt Exam 04051

1. A watch dealer pays 10% custom duty on a watch that cost Rs. 250 abroad. For how much should he mark it, if he desires to make a profit of 20% after giving a discount of 25% to the buyer?

2. A dishonest dealer professes to sell at cost price but uses a 900 gram weight instead of a 1 kilogram weight. Find the percent profit to the dealer.

3. In the land of the famous milkman Bhuvnesh a milkman sells his buffalo for Rs. 720 at some profit. Had he sold his buffalo at Rs. 510,the quantum of the loss incurred would have been double that of the profit earned what is the cost price?

4. 50% of a% of b is equal to 75% of b% of c. Which of the following is c?

5. The length, breadth and height of a room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.

6. The price of sugar is reduced by 25% but inspite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar ?

7 . The ratio of age of Meena to her mother is 3 : 8. Find the ratio of their age after 4 years, if after 10 years their age difference will be 35 years

8. 3 Vessels whose capacities are 3 : 2 : 1 are completlely filled with milk. Mixed water in the mixture of Vessels are 5 : 2, 4 : 1 and 4 : 1 respectively. Taking 1/3 of first, 1/2 of 2nd and 1/7 of 3rd mixtures, kept in a new vessel is prepared. The % of water in new mixture is?

9. The ratio of income of A and B is 3 : 2 and the ratio of their expenditure is 4 : 3 and their savings are respectively ` 2,000 and Rs. 1000. Find the income of A and B respectively.

10. A car travelled first 36 km at 6 km/h faster than the usual speed, but it returned the same distance at 6 km/h slower than the usual speed. If the total time taken by car is 8 hours, for how many hours does it travelled at the faster speed?

11. Walking at four- fifths of his usual speed Rajesh kumar reached his office 15 minutes late on a particular day. The next day, he walked at 5/4 of his usual speed. How early would he be to the office when compared with the previous day ?

12. Soniya and Priyanka started from A and B for B and A, which are 645 km apart. They meet after 15 hours. After their meeting, Sonia increased her speed by 3 km/h and Priyanka reduced her speed by 3 km/h, they arrived at B and A respectively at the same time. What is their initial speeds ?

13. 8 taps are fitted in a tank some are inlet taps and rests are outlet tap. Each inlet tap can fill the tank in 12 hours and each outlet tap can empty it in 36 hours. Then calculate the number of inlet water taps if the whole tank filled in 3 hours.

14. 9 taps are fitted in a tank some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 9 hours and each outlet tap can empty the tank in 9 hours. If all the taps are open then tank will be full in 9 hours, then find the number of outlet taps.

15. 12 taps are fitted in a tank some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 6 hours and each outlet tap can empty the tank in 12 hours. If all the taps are open together then the tank will be full in 4 hours. Then find the number of inlet taps.

16. Radha lent out some money at 8.37%. Per annum rate of simple interest for 2 1/2 years. She calculated that had she given it at 1.37% less, she would have received ` 6850 less. What amount he lent out?

17. X lent out a part of ` 22000 to Y and the rest to Z. The ratio of rates at which he lent to X and Y was 4 : 5 and the ratio of time was 2 1 2 : 3 1 2 If both paid the same interest, find the amount taken on loan by each of them.

18 . ` 2250 was divided into two parts and first was lent out at 4 1/2 % per annum for 3 years while the other at 6% per annum for 1 4/5 years. It same interest is received in both the investments. Find the difference between two parts lent out.

19. A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is

20 .Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference 352 cm. Then the circumference of each circular plate is

21.The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true ?

22.The volume of a solid hemisphere is 19404 cm3 . Its total surface area is

23 .A solid hemisphere is of radius 11 cm. the curved surface area in sq. cm is

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