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What is the lowest number with one digit after the decimal point?

  The lowest number with one digit after the decimal point is 0.1, which is read as "zero point one" or "point one."

A box contains 5 red balls and 3 green balls. If 2 balls are drawn at random from the box, what is the probability that both balls are red?

  The probability of drawing a red ball on the first draw is 5/8, since there are 5 red balls out of a total of 8 balls in the box. After the first ball is drawn, there are only 4 red balls left out of a total of 7 balls remaining. Therefore, the probability of drawing a second red ball is 4/7. The probability of both events occurring together (drawing a red ball on the first draw and a red ball on the second draw) is the product of the probabilities of the individual events. Therefore, the probability of drawing two red balls is: (5/8) * (4/7) = 20/56 This can be simplified to 5/14. Therefore, the probability of drawing two red balls from the box is 5/14.

40% of the employees of a company are men, 75% of men earn more than Rs. 25,000/year. If 45% of the company’s employees earn more than Rs. 25,000/ year, what fraction of the women employed by the company earn less than or equal to Rs. 25,000/year?

  Let's assume that there are 100 employees in the company. Then, 40% of them are men, which is equal to 40 men. Out of these 40 men, 75% earn more than Rs. 25,000/year, which is equal to 30 men. Now, we know that 45% of the total employees earn more than Rs. 25,000/year. This is equal to 45 employees. So, the number of women who earn more than Rs. 25,000/year is equal to 45 - 30 = 15. Therefore, the total number of women employed by the company is 100 - 40 = 60. Let's assume that the fraction of women who earn less than or equal to Rs. 25,000/year is x. Then, the number of women who earn less than or equal to Rs. 25,000/year is equal to x times 60. We can set up an equation based on the information given: 0.45(100) = 30 + x(60) Simplifying this equation, we get: 45 = 30 + 60x Subtracting 30 from both sides, we get: 15 = 60x Dividing both sides by 60, we get: x = 1/4 Therefore, the fraction of women employed by the company who earn less than or equal to Rs. 25,000/year is 1/4 o...

If 30 men working 7 hours per day can do a work in 18 days, in how many days will 21 men working 8 hours a day do the same work?

  Let's assume that the amount of work to be done is 1 unit (it could be anything, as long as we use the same unit throughout the problem). We can use the formula: (work) = (rate) x (time) Let's first find the rate of work for one man working for one hour. For 30 men working 7 hours per day to complete 1 unit of work in 18 days: (rate of work) = (30 men) x (7 hours/day) / (18 days) = 35/3 units per day This means that one man working for one hour can complete 35/3 x 1/30 = 7/18 units of work. Now, let's find how long it would take 21 men working 8 hours a day to complete the same 1 unit of work: (work) = (rate) x (time) 1 unit = (21 men) x (8 hours/day) x (time) x (7/18 units per hour) Simplifying this equation, we get: time = 36 days Therefore, 21 men working 8 hours a day can complete the same work in 36 days

Three men A, B and C working together can do a job in 6 hours less time than A alone, in 1 hour less time than B alone and in one half the time needed by C when working alone. Within how much time can A and B together do the job?

  Let's denote the time it takes for A to complete the job alone as "a", the time it takes for B to complete the job alone as "b", and the time it takes for C to complete the job alone as "c". From the problem, we can write the following equations: 3(a-6) = a 3(b-1) = b 3(c/2) = c Simplifying these equations, we get: 2a - 18 = 3a => a = 18 2b - 3 = b => b = 3 3c/2 = c => c = 2 This means that A can complete the job alone in 18 hours, B can complete the job alone in 3 hours, and C can complete the job alone in 2 hours. Now, let's find the time it takes for A, B, and C to complete the job together. We can use the formula: 1/Time taken by A,B and C together = 1/A + 1/B + 1/C Substituting the values we obtained above, we get: 1/Time taken by A and B together = 1/18 + 1/3 Simplifying this equation, we get: 1/Time taken by A and B together = 5/18 Therefore, the time taken by A and B together to complete the job is: Time taken by A and B together...

भारत में नागरिकता का सिद्धांत कहाँ से लिया गया था?

  भारत में नागरिकता का सिद्धांत संविधान के माध्यम से लिया गया है। भारत का संविधान भारतीय संविधान सभा द्वारा तैयार किया गया था और 26 जनवरी 1950 को भारत की संवैधानिक रूप से अस्तित्व में आया था। संविधान नागरिकता के अधिकारों, नागरिकता की परिभाषा और नागरिकता के हास्यों के बारे में स्पष्टता प्रदान करता है। इसलिए, भारत में नागरिकता का सिद्धांत संविधान से लिया गया है।

6 men can do a piece of work in 2 hours, which 3 women could do in 3 hours, or 5 children in 4 hours. How long 1 man, 1 women and 1 child together take to do the work?

  Let's assume that the total work to be done is 1 unit. From the given information, we can derive the following: 6 men can do the work in 2 hours, so their combined work rate is 6/2 = 3 units per hour. 3 women can do the work in 3 hours, so their combined work rate is 1/3 units per hour. 5 children can do the work in 4 hours, so their combined work rate is 1/4 units per hour. Let's assume that 1 man, 1 woman, and 1 child working together can complete the work in x hours. Their combined work rate would be: 1/x = (1 man's work rate) + (1 woman's work rate) + (1 child's work rate) We know the work rates for each of these individuals, so we can substitute them in: 1/x = (1/6 + 1/x) + (1/3 + 1/x) + (1/5 + 1/x) Simplifying this equation, we get: 1/x = (1/2) + (1/3) + (1/4) 1/x = 13/12 x = 12/13 hours Therefore, 1 man, 1 woman, and 1 child working together can complete the work in 12/13 hours or approximately 55 minutes.

Akash can do a certain work in 20 days and Mohan can complete the same work in 30 days. If they work together, then in how many days will the work get done?

  Let's assume the total work to be done is 1 unit. Akash can complete the work in 20 days, so his work rate is 1/20 units per day. Mohan can complete the same work in 30 days, so his work rate is 1/30 units per day. When they work together, their work rates will add up. So their combined work rate is: 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12 units per day. This means they can complete 1/12 units of work in a single day, so the total number of days required to complete the work will be: 1/(1/12) = 12 days. Therefore, Akash and Mohan working together can complete the work in 12 days.

32. Wolfgang and Heinrich worked as electricians at $14 and $12 per hour respectively. One month Wolfgang worked 10 hours more than Heinrich. If their total income for the month was $3520, how many hours did each work during the month?

  Let's assume that Heinrich worked for x hours in the month. Then, Wolfgang worked for (x + 10) hours. We can use the following equation to solve the problem: 14(x + 10) + 12x = 3520 Expanding the equation, we get: 14x + 140 + 12x = 3520 Combining like terms, we get: 26x + 140 = 3520 Subtracting 140 from both sides, we get: 26x = 3380 Dividing by 26, we get: x = 130 Therefore, Heinrich worked for 130 hours in the month. To find out how many hours Wolfgang worked, we can use the equation: x + 10 = 130 + 10 = 140 Therefore, Wolfgang worked for 140 hours in the month. So, Heinrich worked for 130 hours and Wolfgang worked for 140 hours during the month.