Test 8 The sum of a number and its reciprocal is one-eight of 34. What is the product of the number and its square root? 1. 8 27 32 None of these Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are: 2. 4, 8, 12 5, 10, 15 10, 20, 30 12, 24, 36 How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554? 3. 5 6 7 9 The sum of two numbers is 25 and their difference is 13. Find their product 4. 104 114 315 325 2993 3029 On simplification, 3034 – (1002÷20.04) is equal to: 5. 2543 2984 A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four 6. walls, the volume of the hall is: 720 900 1200 1800 The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average 7. for the last four matches. 33.25 33.5 34.25 35 The ratio between the present ages of A and B is 5 : 3 respectively. The ratio between A’s age 4 years ago and B’s age 4 years 8. hence is 1 : 1. What is the ratio between A’s age 4 years hence and B’s age 4 years ago? 1:3 2:1 3:1 4:1 Gauri went to the stationers and bought things worth Rs.25, out of which 30 paise wet on sales tax on taxable purchases. If the 9. tax rate was 6%, then what was the cost of the tax free items? Rs.15 10. Rs.15.70 Rs.19.70 Rs.20 A man bought some oranges at Rs.10 per dozen and bought the same number of oranges at Rs.8 per dozen. He sold these oranges at Rs.11 per dozen and gained Rs.120. The total number of oranges bought by him was: 30 dozens 40 dozens 50 dozens 60 dozens A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for 11. grazing. If the rent of the pasture is Rs.175, how much must C pay as his share of rent? Rs.45 Rs.50 Rs.55 Rs.60 A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and 12. C together can do the work in: 13 1/3 days 15 days 20 days 30 days A farmer traveled a distance of 61 km in 9 hours. He traveled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The 13. distance traveled on foot is: 14 km 15 km 16 km 17 km A train 110 metres long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? 14. 5 sec 6 sec 7 sec 10 sec 15. A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man’s speed against the current is: 8.5 km/hr 9 km/hr 10 km/hr 12.5 km/hr A sum of money at simple interest amounts to Rs.825 in 3 years and to Rs.854 in 4 years. The sum is: 16. Rs.650 Rs.690 Rs.698 Rs.700 The compound interest on Rs.30, 000 at 7% per annum is Rs.4347. The period in years is: 17. 2 5 3 4 The area of a square field is 69696 centi meter square. Its diagonal will be equal to: 18. 313.296 m 353.296 m 373.296 m 393.296 m What is the volume of a cube (in cubic cm) whose diagonal measures 4 Root 3 cm? 19. 8 16 27 64 A man buys Rs.50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he 20. buy the shares? Rs.37.50 Rs.40 State Population AP ASSAM BIHAR GUJARAT HARYANA DELHI 43, 502, 708 14, 957, 542 56, 353, 369 26, 697, 608 10, 036, 808 4, 065, 698 Rs.48 Birth rate per 1000 31.6 33.3 32.0 35.4 39.4 29.5 Rs.52 Death rate per 1000 15.5 16.6 16.4 14.1 15.8 7.6 Population density per sq.km. 157 150 321 136 227 2738 (Directions for questions 21 – 25): The following table shows the population, death and birth rates and population density of some of the states in 1971. Answer for Analytical Trial Test-8 Maximum growth rate in population was notice in? 21. Delhi Bihar Haryana Gujarat Estimated area of Delhi is about (in km). 22. 1400 23. 1500 1600 1700 The ratio of the ages of a son and his father is 1 : 5. The ratio of the ages of the father and the mother is 7 : 6 : 5 years ago, the ratio of the ages of the son and the father was 1 : 15. Find the present age of the mother. 35 years 30 years 28 years None of these Which of the following is the best offer for the customer? Rs.680 with discounts of 20%, 15% and 10% successively. 24. Rs.680 with discounts of 15%, 20% and 10% successively. Rs.680 with discounts of 45%. Rs.680 with discounts f 10%, 15% and 20% successively. 150% of 480 + 250% of 640 = ?% of 232. 25. 800 100 500 1000