SSC Apt Exam 04004 Welcome to your SSC Apt Exam 04004 Name Email 1. Rajesh bought some oranges from Nagpur for Rs. 32. He has to sell it in Delhi. He is able to sell off all the oranges in Delhi and on reflection finds that he has made a profit equal to the cost price of 40 oranges. how many oranges did Rajesh buy ? (a) 32 (b) 16 (c) 64 (d) Data Inadequate None 2. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture? (a) 1:2 (b) 1:1 (c) 2:1 (d) 4:5 None 3. Three vessels each of 10 litres capacity contain a mixture of milk & water in the ratio 2 : 1, 3 : 1 and 3 : 2. If all the three vessels are emptied into a large vessel, find the ratio of milk and water in the new mixture. (a) 101 : 111 (b) 121 : 59 (c) 53 : 37 (d) 31 : 13 None 4. 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. (a) 77% (b) 75% (c) 88% (d) 98% None 5. 50% of a% of b is equal to 75% of b% of c. Which of the following is c? (a) 1.5a (b) 0.667a (c) 0.5a (d) 1.25a None 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 ? (a) +60% (b) –10% (c) +33.33% (d) 50% None 7. A can do the work in 50 days, B in 30 days. How many days they work together to finish the whole work? (a) 6 (b) 18 3/4 (c) 12 (d) 25 None 8. X can do a work in 18 days and Y in 36 days. How many days they work together to complete the Two-Third work? (a) 4 (b) 12 (c) 8 (d) 9 None 9. Shiv lent out a certain sum at 5% per annum and 6 months later he lent out the same sum at 6% per annum. After a certain time shiv got Rs. 4600 total amount from each. How much money did he lend each time? (a) rs 4200 (b) rs 4000 (c) rs 3600 (d) rs 3800 None 10. An amount of `18600 is divided into three parts and these parts are lent out for 2 years, 4 years and 5 years respectively. If the rate of simple interest is 10% p.a., then the amount of all 3 parts become same. Find the three parts : (a) rs5, 600, rs6,000, rs7,000 (b) rs4500, rs6400, rs7700 (c) rs7,000, rs 6,000, rs5600 (d) rs7700, rs 6400, rs 4500 None 11. Sita invested some amount for 3 years and bought a share of a company. Company promised her to give a return of simple interest at 1 6/4 per annum. Her sister Geeta invested the same amount in another company but her company gives her the compound interest at same rate. If after 3 year Sita's sister got ` 717.77343 more than Sita, find the amount invested by each and also find the interest recieved by Sita. (a) ` 50,000, ` 10275 (b) ` 60,000, ` 11968 (c) ` 48,000, ` 9600 (d) None of these None 12. A car can cover a certain distance in 4 1/2 hours. If the speed is increased by 5 km/hour, it would take 1/2 hour less to cover the same distance. Find the slower speed of the car: (a) 50 km/hour (b) 40 km/hour (c) 45 km/hour (d) 60 km/hour None 13. The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reachs the destination? (a) 1 1/3hours (b) 2 hours (c) 2 2/3 hours (d) 1 2/3 hours None 14 . (a) a = 125°, b = 55° (b) a = 110°, b = 70° (c) a = 130°, b = 50° (d) a = 75°, b = 105° None 15. If one angle of a linear pair is acute, then its other angle will be : (a) acute (b) obtuse (c) right angle (d) None of these None 16. (a) (b) (c) (d) None 17. (a) (b) (c) (d) None 18. The perimeter of a square and a circular field are the same. If the area of the circular field is 3850 sq meter. What is the area (in m2 ) of the square? (a) 4225 (b) 3025 (c) 2500 (d) 2025 None 19. A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into exact number of equal cube. The least posible number of cubes will be (a) 6 (b) 9 (c) 24 (d) 30 None 20. Find the number of zeroes at the end of the product 125! (a) 25 (b) 30 (c) 31 (d) 28 None 21. By selling 5 articles for Rs. 15, a man makes a Profit of 20%. Find his gain or loss percentage if he sells 8 articles for Rs. 18.4 ? (a) 8% loss (b) 10% profit (c) 8% profit (d) None of these None 22. There are 4 natural no. if average of any 3 no. is added with 4th no. 29, 23, 21 and 17 will be obtain find all 4 natural no.? (a) 18, 21, 6, 3 (b) 21, 15, 12, 6 (c) 18, 15, 12, 9 (d) 21, 12, 9, 3 None 9.There were 42 students in a Hostel due to admission of 13 new students expense of mess is increased by Rs. 30 per day while per day expenditure per student is reduced by Rs. 3. What was the original expenditure of mess per day. (a) 600 (b) 610 (c) 630 (d) 620 None 24. There are 3 natural no. if average of any 2 no. is added to the third no. 24, 20 and 18 will be obtained. Find all the natural no. 15. There are 3 natural no. if average of any 2 no. is added to the third no. 24, 20 and 18 will be obtained. Find all the natural no. (a) 6, 8, 17 (b) 9, 6, 16 (c) 9, 5, 17 (d) 12, 6, 13 None 25. The divisor is 321, the quotient 11 and the remainder 260. Find the dividend. (a)3719 (b)3971 (c)3791 (d)3179 None