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TEST – 9 The unit’s digit in the product 274 × 318 × 577 × 313 is: 1. 2 3 4 5 The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: 2. 1 2 3 4 When 0.232323……… is converted into a fraction, then the result is: 3. 1/5 2/9 23/99 23/100 The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is: 4. 20 23 169 180 Which of the following is a pair of co-primes? 5. (16, 62) (18, 25) (21, 35) (23, 92) 34.95 + 240.016 + 23.98 = ? 6. 298.0946 298.111 298.946 299.09 Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the numbers 7. is 7/72. The numbers are: 16, 8, 4 20, 10, 5 24, 12, 6 36, 18, 9 A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old 8. is the mother at present? 32 years 36 years 40 years 48 years In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number 9. of students of 8 years age which is 48. What is the total number of students in the school? 72 10. 80 120 None of these A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs.225 for it, the cost price of the bicycle for A is: Rs.110 Rs.120 Rs.125 Rs.150 A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 11. of his capital. The gain at the end of 10 months was Rs.760. A’s share in this profit is: Rs.330 Rs.360 Rs.380 Rs.430 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 day. They all 12. work together for 10 days when B and C leave. How many days more will A take to finish the work? 18 days 24 days 30 days 36 days A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the 13. tour is: 35.55 km/hr 36 km/hr 71.11 km/hr 71 km/hr A 270 meters long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 14. km/hr in 9 seconds. What is the length of the other train? 230 m 15. 240 m 260 m 320 m The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is: 1.2 km 1.8 km 2.4 km 3.6 km A sum of money trebles itself in 15 years 6 months. In how many years would it double itself? 16. 6 years 3 months 7 years 9 months 8 years 3 months 9 years 6 months In how many years will a sum of Rs.800 at 10% annum compounded semi-annually become Rs.926.10? 17. 1 1/3 1 1/2 2 1/3 2 1/2 A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m is: 18. Rs.456 Rs.458 Rs.558 Rs.568 Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a single cube whose diagonal is 12 Root 3 cm. The sides of the 19. cubes are: 3cm, 4cm, 5cm 6cm, 8cm, 10cm 9cm, 12cm, 15cm None of these In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together? 20. 4320 120 720 2160 (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. 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 Birth rate per 1000 31.6 33.3 32.0 35.4 39.4 29.5 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 Answer for Analytical Trial Test-9 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