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4616164650031496057

To solve this problem, we need to use the concept of uniform motion and the fact that the angle of elevation changes at a constant rate. The angle of elevation of the tower is given as 45° at the start, and it takes 10 minutes for the angle to change to 60°. This means that the car is moving at a constant speed and the angle of elevation is changing at a constant rate. We can use the formula for the

-8711854908255794918

To find the original price of the item, we need to use the information given in the question. The original price of the item was discounted by 22%, which means the discounted price is 22% of the original price. The customer bought the item at a discounted price of $60, and they used a $20-off coupon. So, the customer paid $60 - $20 = $40 for

7867793809408250207

Sure! Based on the information provided, the multiple of X that is divisible by 9 and 12 is: (B) 15 Therefore, the answer is (B) 15.

4313506547453839269

To find the greatest value for the probability that neither of the two events will occur, we need to find the probability of the complement of the event that at least one of the stocks will increase in value. The probability of neither Stock A nor Stock B increasing in value can be calculated as follows: Probability of neither event occurring = 1 - probability of at least one event occurring = 1 - (0.56 + 0.74)

438070624393003720

Great, let's solve this problem! The instruction states that the trader sold the article at a profit of 20%, so we can start by finding 20% of the selling price. Selling price = 360 20% of selling price = 20/100 x 360 = 72 Now, we need to find the cost price of the article. Since the trader made a profit

4385331313761657773

Sure! Here's my response: The total number of marbles in the bag is 380. Explanation: The first time 20 marbles were pulled out of the bag, and 1 of them was black, so the percentage of black marbles pulled out was 1/20 = 5%. Therefore, the number of black marbles in the bag after the first time is 20 x 5% = 1.

8411557614105310282

Sure! To find the total number of distinct bike numbers that can be formed using 2 letters followed by 2 numbers, we need to count the number of unique combinations of letters and numbers. There are 26 letters in the alphabet, and each letter can be used twice, so there are 26 x 2 = 52 possible combinations of letters. Now, for each combination of letters, we need to count the number of unique combinations of numbers that can

-2887773778310762181

Sure! Here's my response: The total journey duration will be 11.5 hours. Explanation: The train was initially traveling at a speed of 100 miles/hour, which means it covered 1/4 of the total distance in 4 hours (100 miles/hour x 4 hours = 400 miles). After the rain started and the train had to slow down to 75 miles/hour

-7699164791542181744

To find the maximum number of students who could have neither attended the prom night nor the debating session, we need to find the least common multiple (LCM) of 45% and 35%. 45% of 200 = 90 35% of 200 = 70 Least common multiple of 90 and 70 = 350 Therefore, the maximum number of students who could have

3303897817352572586

Sure! To determine the number of sales the salesperson must make to reach a salary of at least $1000, we need to calculate the total amount of money the salesperson will earn in commissions. The instruction states that the salesperson gets a 10% commission on each sale, so the total amount of money the salesperson will earn in commissions is 10% of the sale price. If the sale price is $25

8837892610139582917

To determine the minimum selling price per component that will guarantee a yearly profit of at least $626,400, we need to calculate the total revenue from sales and then subtract the total production costs. Total revenue = Number of components produced x Selling price per component = 420 x Since the company sells all the components produced, the total revenue is equal to the number of components produced multiplied by the selling price

482588694354806979

Sure! Here's my response: The number of staplers produced on Monday can be calculated as follows: 10% of the staplers produced were defective, so the number of defective staplers = 10% of 4,000 (the total number of staplers produced) = 400. 2% of the non-defective staplers were rejected by mistake, so the number of non-

-4280974681794446682

Sure! Here's my response: The answer is (C) 36 minutes. Machine A puts out a yo-yo every 6 minutes, so it will produce 10 yo-yos in 6 x 10 = 60 minutes. Machine B puts out a yo-yo every 9 minutes, so it will produce 10 yo-yos in 9 x 10 = 90 minutes. Therefore

-3791598773887779478

Sure! Based on the instruction "Add: +45 and -30," the appropriate answer is (B) +30. So, the result of adding +45 and -30 is 15.

7117850319145992359

Sure! Here's my response: The answer is (C) 7!. There are 7 letters in the word "PROBLEC", and by rearranging them, we can form 7 unique 7-letter words without any letter repeating: 1. Problem 2. Proble 3. Probel 4. Probet 5. Probec 6. Probed 7. Probe So, the answer is (C)

7151817447702107088

Great, let's solve this problem! Given that A and B are independent events, we can use the formula for conditional probability: P(A/B) = P(A ∩ B)/P(B) We know that P(A) = 0.2 and P(B) = 0.8, so we can plug these values into the formula: P(A/B) = (P(A ∩ B))/

7856599014838310133

To solve this problem, we need to use the information given in the question to find the speed of the elevator. Let's analyze the information: * If you walk 20 steps and stop, it takes 10 minutes to reach the bottom. This means that the elevator moves 20 steps in 10 minutes, so the speed of the elevator is 2 steps/minute. * If you walk 10 steps and stop,

8794291960928677105

To find the average number of microwave ovens sold per month during the entire 22-month period, we need to find the average of the average sales per month for the two time periods: Last year: 42 microwave ovens/month First 10 months of this year: 20 microwave ovens/month To find the average of these two averages, we can add them together and divide by 2:

1578429591488316175

Sure! I can help you with that. The question is asking us to find the average score for the class excluding the highest and lowest scorers, given that the average of the highest and lowest scores is equal to x, and the average score for the entire class is equal to y, and there are z > 5 students in the class. Let's analyze the problem: We know that the average of the highest and lowest scores is equal to x. So

336405520755872914

Sure! Here's the calculation to complete the task: 5 + (9 × 19) - (15 - 7) / (13 × 13 - 156) = 6 So, the answer is (C) 5.

2760582878414577267

Sure! I can help you with that. The instruction states that the grocer makes a 25% profit on the selling price of each bag of flour. If he sells each bag for $100 and makes $3,000 in profit, we can set up the following equation: Profit = Selling Price x Profit Percentage Profit = $100 x 25% Profit = $25

-7114480054605805329

Sure! Here's my response: The answer is (B) 16. If Alex takes 7 hours to make a toy and Jacob takes 9 hours to make a toy, and they have worked for almost similar number of hours, then the number of toys prepared by Jacob can be calculated as follows: Jacob's work hours = Total work hours / Alex's work hours = 35 toys / 7 hours =

-6414596820171904309

To determine the final concentration of tea that John drinks, we need to follow the instructions given in the question: 1. John replaces 15% of the 50% strong milk tea with milk, which means he replaces 7.5% of the original tea with milk (15% of 50% = 7.5%). 2. Then, he replaces 10% of the resultant solution with more milk. This means

7016420236991328307

To find the difference between the maximum and minimum number of students in the class, we need to use the information given in the question. Let's analyze the information: * 1/16 of the students study math, which means 16/100 of the students study math. * 1/10 of the students study bio, which means 10/100 of the students study bio. * 1/8 of the

6709373891948564296

To solve this problem, we need to use the information given in the question to find Bill's average speed on a windy day. On a normal day, Bill averages 15 mph. On a windy day, his speed is reduced by 4 mph. So, Bill's average speed on a windy day is: 15 mph - 4 mph = 11 mph Now, we need to find out

-2584062679444136325

To find the price at which the retailer sold the appliance, we need to use the information given in the problem. The retailer sold the appliance for 40 percent above cost, which means the cost of the appliance was $20.00. So, the price at which the retailer sold the appliance is: $20.00 x 1.40 = $28.00 Therefore,

8977336268747664631

Sure, I can help you with that! Based on the information provided in the question, Rahul borrowed Rs. 500 at 6% per annum simple interest. To find the amount he will pay to clear the debt after 4 years, we can use the formula: Amount = Principal x Rate x Time Where: * Principal is the initial amount borrowed, which is Rs. 500 in this case.

-2446901229499551376

Based on the instruction provided, the appropriate answer is (B)(85,9). The routine generates two numbers, x and y, where x is a random number between 0 and 100 inclusive, and y is less than or equal to the square root of x. In this case, x = 85, and the square root of 85 is approximately 9. Therefore, the correct pair of numbers that satisfies the routine is (85

-3749981283835492107

To solve this problem, we need to use the formula: Distance = Speed x Time For the forward journey, the jeep travels a distance of: Distance = Speed x Time = 60 km/h x 6 h = 360 km For the return journey, the jeep travels a distance of: Distance = Speed x Time = 72 km/h x 4 h = 288 km There

303662290833113252

Sure! Here's my response: When you were 2 years old, your brother was half your age, which means he was 2/2 = 1 year old. Since you are now 60 years old, your brother is now 60 - 1 = 59 years old. Therefore, the correct answer is (A) 59 years old.

2596467758047676798

To solve this problem, we can use the information given in the question to set up a proportion. Let's call the wholesale cost of the appliance "w" and the original retail price "r". We know that the original retail price was 60% more than the wholesale cost, so we can write: r = w + 0.6w We also know that the appliance was sold for 20% less than

1523364675802441862

Sure! To solve this problem, we can use the information given in the question to find the actual distance from Town F to Town G. We know that on the map, the length of the road from Town F to Town G is measured to be 20 inches. We also know that on this map, 1/4 inch represents an actual distance of 10 miles. So, we can use the conversion ratio of 1/4 inch to 1

7119788099806948526

To find the area of the sheet, we need to find the area of each half and then add them together. Since the sheet is rectangular, the area of each half can be found by multiplying the length by the width. The length of each half is half of the total length of the sheet, which is 48 cm. So, the length of each half is 48 / 2 = 24 cm. The width of each half is half

4315761462637036429

Sure! Based on the information provided, there are 3 ways to travel from M to Q: 1. M to N to O to P to Q 2. M to N to O to P to Q 3. M to N to O to P Therefore, the answer is (C) 72.

6214892386040329194

To find the diameter of the sphere, we need to use the fact that the volume of the sphere is equal to the volume of the rectangular solid that is inscribed in it. The volume of the rectangular solid is given by the product of its length, width, and height: Volume of rectangular solid = length x width x height = 3 x 4 x 15 = 120 The volume of the sphere is given by the formula:

-8650382432737419058

Sure! Based on the instructions given, A starts traveling towards south, then east, then north, and finally west. Therefore, the total distance traveled by A is: 3 km + 5 km + 3 km - 2 km = 7 km So, the answer is (B) 2 km.

4404359876655226876

To find the marked price of the watch, we need to use the information given in the question. Let's assume the cost price of the watch is x. If the shopkeeper gives a discount of 5%, the selling price of the watch will be x - (5/100)x = x - 0.05x = 0.95x. If the shopkeeper gives a discount of 7%, the selling

8477478601819635678

To solve this problem, we need to find the difference between the student's answer and the actual value. The student's answer was 7/18 of the number, which means the student gave a fraction with 18 as the denominator. The actual value of 7/8 of the number is 7/8 \* 100 = 87.5. So, the difference between the student's answer and the actual value

4711949588647054797

To determine the monthly sales needed for the shop assistant's monthly salary to reach $1500, we need to use the given information. The monthly salary of the shop assistant is the sum of a fixed salary of $500 plus 5% of all monthly sales. So, we can write the equation: Monthly Salary = $500 + (5% of Monthly Sales) To find the monthly

-8927756238763440632

To find the average speed of the plane around the field, we need to find the distance the plane travels around the field and divide it by the time it takes to travel that distance. The distance the plane travels around the field can be found by using the perimeter of the square. The perimeter of a square is equal to 4 times the length of one side. Since the plane flies along the four sides of the square, the distance it travels around the field

-4886434410186116614

Sure, I can help you with that! Based on the information provided in the question, we can set up the following equation: Number of white sharpeners = x Number of brown sharpeners = x + 1 Since Jack pays 1 rupee more for each white sharpeners than brown sharpeners, we can write: Price of x white sharpeners = x + 100 Price of (x +

6604324071562199379

Sure! Based on the information provided in the question, we can determine that hose A filled the pool alone in 2 hours, and then hoses A and B filled the pool together in another 3 hours. Therefore, the total time it took to fill the pool is: 2 + 3 = 5 hours So, the answer is (B) 15 hours.

2763545793478172013

Sure! To find the reduction percent, we need to divide the result of reducing 120 by 120 itself. 120 / 120 = 1 So, the reduction percent is 100%, which corresponds to option (D) in the choices provided. Therefore, the answer is (D) 10%.

-6005663146915893026

Sure! Based on the information provided in the question, the number that meets the condition is: (B) 32456 Explanation: If we have a 5-digit number with a 1 after it, it means that the number is three times larger than it would be if a 1 were before it. So, if the number is 1000, it would be 3000 if a 1 were after

7866311582675055328

Sure! Based on the information provided, we can calculate the percentage of Daifu students who are members of the swim team as follows: Let's first find the total number of students at Daifu university. If 24% of all students are members of both the chess club and the swim team, then the total number of students is 24% of the total number of students at Daifu university. We are given that 20

7418125632800785787

To determine the population of the city in 2 years time, we need to apply the 5% annual increase to the current population of 78,000. So, the population of the city in 2 years time will be: 78,000 x 1.05 = 82,600 Therefore, the answer is (A) 81900.

-1001138705146577598

To solve this problem, we can use the concept of relative speed, which is the speed at which the two cars are moving relative to each other. The relative speed between the two cars is the difference between their speeds. Let's use the given speeds: Car 1: 12 mph Car 2: 13 mph The relative speed between the two cars is: Relative speed = 13 mph - 12 m

8678282612722396269

To determine the minimum monthly sale required for the servant to earn a monthly income of 6000, we need to calculate the total amount of money the shopkeeper will pay the servant. The monthly salary of the servant is 1500, and the commission is 15% of the monthly sale. So, the total amount of money the shopkeeper will pay the servant can be calculated as follows: Total amount = Monthly sal

2475360235926172705

To find the interest rate, we need to use the formula: Interest rate = (Total amount borrowed / Number of installments) x (1 / (1 + Interest rate)^Number of installments) Plugging in the values given in the question, we get: Interest rate = (Rs.360 / 12) x (1 / (1 + Interest rate)^12) Interest rate = 10%

8468771108221522898

To find the percentage increase needed to make the product price 100% of its original price, we need to find 100% of the reduced price. The reduced price is 30% less than the original price, so the original price is: Original price = $100 - (30% of $100) = $100 - $30 = $70 So, to make the product price

-7695658877526238363

Sure, I can help you with that! Based on the information provided in the question, we know that the money pouch contains a total of Rs. 700. Since there are equal number of 25 paise coins, 50 paise coins, and one rupee coins, we can use the following formula to find the number of each: Number of 25 paise coins = Total amount / 25 paise

-1289886873702955297

To find the man's monthly income, we need to use the information given in the problem. The man spends Rs. 3500 per month and saves 12 1/2% of his income. 12 1/2% of his income is equal to: 12.5% of Rs. 3500 = Rs. 437.50 So, the man's monthly

-7064781440117127778

Sure! Here's my response: The answer is (B) 5. Explanation: If five dozen toys are packed in a box, that means there are 5 x 12 = 60 toys in each box. Since there are 98 boxes in total, the total number of toys is 98 x 60 = 5760 toys. To find out how many tempos can

-3356261581959025595

Sure! To find the number of ways in which 2 oranges are chosen from a basket of 10 oranges, we can use the principle of combinatorics. There are 10 oranges in the basket, and we need to choose 2 of them. The number of ways to choose 2 objects from a set of n objects is nC2, where n is the number of objects in the set. So, the number of ways to choose

6121131091002258115

Sure! Here's my response: The answer is (C) 10 days. Here's how the calculation works: 1. Mr. Brown can paint a house in 6 days, so it will take him 6 days to paint 3 houses. 2. Mr. Black takes 8 days to paint a house, so it will take him 8 days to paint 3 houses. 3. After 8 days, Mr. Brown goes

-5141408980734479743

Sure! Here's the answer: The trains leave the station simultaneously, so they will meet again after 16 minutes + 17 minutes = 33 minutes. Therefore, the answer is (C) 190 minutes.

3480790302627728967

To solve this problem, we need to count the number of faces of the smaller cubes that are not painted after painting the outer surface of the larger cube. The larger cube has a size of 5cm, and the thickness of 1cm, so it has a volume of 5cm x 5cm x 1cm = 25 cubic centimeters (cm³). Since the larger cube is made of smaller cubes of size 1cm

-2358815721716005228

To find the percentage of chocolates that are both vanilla flavored and not squashed, we need to find the intersection of the two groups. Of the 10% of chocolates that are cocoa flavored, 90% are not squashed, so the number of cocoa flavored chocolates that are not squashed is 9%. Now, we need to find the intersection of the 90% of choc

-7240707406800420027

Sure! Here's my response: The frog will come out of the well in 26 days. Explanation: The frog started at the bottom of the well, which is 30 meters deep. It jumped 3 meters up, which brings it to a height of 27 meters (30 - 3 = 27). Then, it fell back 2 meters down, which brings it to a height of 25

-6860597844413605439

Sure! I can help you with that. The sum of the 5 consecutive two-digit odd numbers when divided by 10 becomes a perfect square, which means the number must be of the form $n^2$. Let's consider the five consecutive odd numbers: 31, 33, 35, 37, and 39. When we divide each of these numbers by 10, we get: 31 /

1923727146950931615

Sure! Based on the information provided in the question, we can use the following calculations to determine the number of students in the class: 8% of total students are interested in Football, which means 8% of 100 (the total number of students) = 80 students are interested in Football. 4/5 of total students are interested in Cricket, which means 4/5 of 100 = 80 students are interested in Cricket

7510902301081889604

Sure, I'd be happy to help! Based on the information provided in the question, we can set up the following equation: R + T = 50 Since Q is younger than R, we can say that Q's age is x years less than R's age. So, we can write: R's age = x + 50 Now, we can substitute the value of R's age from the equation above into the equation for

-1255278360304378213

To calculate the maximum distance you can travel with $8.50 on a cab that charges $3.50 for the first quarter-mile and 10 cents for each additional quarter mile, we need to follow these steps: 1. Calculate the cost of the first quarter-mile: $3.50 2. Calculate the cost of each additional quarter-mile: $0.10 x 2 = $0.20 3.

-3419866909020682040

Sure, I can help you with that! Based on the information provided in the question, we can calculate Sachin's batting average as follows: Sachin's current batting average is 51. In the finals, he scores 78 runs, so his new batting average will be: 51 + (78 / 6) = 54 Since there are 6 matches in an IPL season, the total number

-3752577684950154656

The answer is (A) 3. Since each type of book can be uniquely represented by a single letter, Amy will only need 3 letters to create the codes for all 10 types of books.

-4795527689410172875

Sure! I can help you with that. The perimeter of a rectangle can be found using the formula P = 2(l + w), where l is the length and w is the width. Since the length of the rectangular piece is 1m more than 4 times the breadth, we can set up the equation: l = 4w + 1 Now, we can substitute the value of l = 4w + 1 into the

-6304226949769821043

Sure! Here's the answer to the question: The correct answer is (C) 12.5 grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins E and A. Explanation: The question states that one gram of the health food contains 9% of the minimum daily requirement of vitamin E and 8% of the minimum daily requirement of vitamin A. To determine how much

3955224347081503638

Sure! Here's my response: The answer is (B) 10 helpers. To determine the number of helpers needed, we need to use the information provided in the question: * Each helper can make either 2 large cakes or 35 small cakes per hour. * The kitchen is available for 3 hours. * 20 large cakes are needed. * 700 small cakes are needed.

-7363552423122122527

Sure! Based on the information provided, we can use the midpoint formula to find the length of line segment RU: The midpoint of line segment ST is U, so the midpoint of RU is (R + U) / 2. The length of line segment RS is 5, the length of line segment RT is 17, and the length of line segment ST is 22. Therefore, the length of line segment RU is

2269762289288519768

Sure! Here's my response: The answer is (C) 3. Explanation: According to the information given in the question, we know that: * Six pita breads contain the same amount of falafel as two rolls. * Three rolls contain the same amount of falafel as five baguettes do. * Two baguettes contain the same amount of falafel as one pita bread.

-8501398473741813157

To find the percentage increase needed to return the prices of the items to their original price after a 20% discount, we can use the following formula: New price = Original price x (1 + Percentage increase) Since the discount was 20%, we can calculate the percentage increase needed as follows: Percentage increase = 100 - 20 = 80 New price = Original price x 1.80 There

5619355858996952200

Sure, I can help you with that! Based on the information provided in the question, we can set up the following equation: Bus fare for 2 persons = 4/3 train fare for 1 person So, the train fare for 1 person = 4/3 x bus fare for 2 persons Now, we are given that the total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is R

-4280674359541637097

Sure! To find the perimeter of a rectangle, we need to add up the lengths of all its sides. Since the rectangle has a length of 8 cm and a width of 3 cm, its perimeter can be calculated as follows: Perimeter = 2(length + width) = 2(8 + 3) = 2(11) = 22 cm Therefore, the correct answer is (B) 2

1738330385217666723

The answer is (C) 920. There are 6 books in total, and each book can be placed in one of the 6 slots on the shelf. Therefore, the number of ways to arrange the books on the shelf is 6 x 6 = 36. However, we need to multiply this number by the number of times each book can be placed in each slot, which is 1, to get the total number

186908559723807876

To find the length of the fence in feet, we need to use the given information: The straight picket fence is composed of x pickets, each of which is 1/2 inch wide. There are 6 inches of space between each pair of pickets. So, the length of each picket is 6 inches / 2 = 3 inches. Now, we can find the total length of the fence by multiplying the number

4419744863417565443

Sure! Here's my response: The distance from the starting point when the ship and the plane meet is 289 miles. Answer: (B) 289

-3968164651917171192

To solve this problem, we need to use the information given in the question to find the total deer population in the forest. During 2001, 300 deer were caught, tagged, and returned. This means that the number of deer in the forest without tags is 300 + 300 = 600. During 2002, 500 deer were caught at random,

-2007534948726560320

To determine the probability of the man catching the first train, we need to calculate the time difference between the main line service starting at 5 o'clock and the harbor line starting at 5:02 AM. Time difference = 5:02 AM - 5:00 PM = 2 minutes So, the probability of the man catching the first train is: Probability = (2/10) = 0.2 or

835769388435925382

To find the weight of the heavy duty truck, we need to use the information given in the problem. The average weight of the group of vehicles before the new truck was added is 12.2 tons, and the average weight of the group increased by 2.6 tons after the new truck was added. So, the weight of the new truck can be found by subtracting the average weight of the group before the new truck was added from the total

-2786254355068531087

To determine the closest percent population increase in Boomtown over the last year, we need to use the information provided in the question. If the population of Boomtown is expected to increase by 10% per year over the next two years, and the population two years from now would be exactly double the population of one year ago, then the population of Boomtown one year ago was half the population of Boomtown today. So, the percent population increase in Bo

4230256698206720538

Based on the information provided, we can set up the following equation: Sajal's money = Arjun's money - $30 Since Sajal will have twice as much money left with Arjun if he gives $30 to Sajal, we can write: Sajal's money = Arjun's money - $30 = 2Arjun's money Now, if Sajal gives $

-645290109332504686

Sure! Based on the information provided, the length of the other side of Julie's yard is 60 feet. Therefore, the answer is (E) 60 feet.

4737306609544242954

Sure! Let's solve the problem. The greatest common factor of two positive integers is 11, and the least common multiple is 7700. If one of the integers is 350, then the other integer must be 420 (since 7700 / 11 = 690, and 690 x 11 = 7590). Therefore, the answer is (C)

-7344129557661809355

To solve this problem, we need to use the formula for the perimeter of a rectangle, which is: Perimeter = 2(length + width) We know that the original square piece of cloth had a length of 4 feet on one edge, so the length of the rectangle is 4 feet. We also know that the width of the rectangle is half the length, or 2 feet. So, the perimeter of the original square piece of cloth is:

726508475141833423

Sure! Based on the information provided in the question, the length of the ribbon was originally 30 cm, and it was reduced in the ratio 5 : 3. To find the new length of the ribbon, we can use the ratio provided: Ratio: 5 : 3 New length = 5x Original length / 3 New length = 5 x 30 cm / 3 New length = 20 cm

-3153951485429615220

Sure! Here's my response: The correct answer is (B) 30. Explanation: From the given equation, we have: M = abc N = cba M > N M - N + 396c = 990 We are asked to find the number of values of M that are more than 300. Substituting the values of M and N given in the

-8744855807673066573

To find the least possible number of students in the school, we need to find the least common multiple (LCM) of 20% and 28%. 20% of 501 = 100 28% of 501 = 140 Least common multiple of 100 and 140 = 700 Therefore, the least possible number of students in the school is 70

-1654775172210977865

Sure! Based on the information provided in the question, Rahim is currently 40 years old. Here's how we can calculate it: Raj was one-third as old as Rahim 5 years back, which means Rahim was 3 times as old as Raj 5 years ago. So, Rahim's age 5 years ago = 3 x Raj's age 5 years ago Raj is currently 17 years old

9013242408005700859

To determine the time it will take for the cow to graze the whole field, we need to divide the area of the field (10 sq.ft.) by the amount of area the cow can graze per day (10 sq.ft.). 10 sq.ft. / 10 sq.ft. = 1 day Therefore, the answer is (A) 51 days.

-6097073662638447477

To find the percentage of profit or loss, we need to calculate the difference between the selling price and the cost price, and then divide it by the cost price. Let's assume the cost price of the book is Rs. 25.75. If the book was sold for Rs. 27.50, the profit is: Profit = Selling price - Cost price = 27.50 - 25.

4151913747661460145

Sure! Here is the answer to the question: The correct answer is (B) 3. There are 3 ways to arrange the 3 children on 3 identical chairs in a straight line so that Susan is on the left of Tim: 1. Susan, Tim, Zen 2. Tim, Susan, Zen 3. Zen, Susan, Tim So, there are 3 possible ways to arrange the children in

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Based on the information provided, the bill for the month where 500 units are consumed due to holidays would be: (E) Rs.1690 Explanation: The bill is partly fixed and partly varies as the number of calls consumed. In the first month, the bill is Rs.1800 when 540 calls are consumed. In the second month, the bill is Rs.2

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To determine when the two balls will be at the same starting point again, we need to find the least common multiple (LCM) of 26 and 35. The multiples of 26 are: 26, 52, 78, 104, ... The multiples of 35 are: 35, 70, 105, 140, ... The least common multiple of

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Sure! Based on the information provided, the maximum number of books that are both hardcover and fiction is (C) 18. Here's how we can calculate this: * 30 books are hardcover * 20 books are fiction * Since we can't have more than 20 books that are both hardcover and fiction, the maximum number of books that are both hardcover and fiction is 20 (the number of fiction books

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Sure! Here's my response: The hotel buys 30 newspapers on Monday. Reasoning: If the hotel pays $210 per week for newspapers and it orders twice as many papers on Sunday as it does the rest of the days of the week, then it buys 2 x 4 = 8 newspapers on Sunday. So, the total number of newspapers the hotel buys in a week is 8 +

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Sure! Here's my response: The number of people who attended the picnic was 12. Reasoning: The question states that the number of friends who attended the picnic was initially 8, but 4 of them did not turn up. This means that the number of people who actually attended the picnic was 8 - 4 = 4. Since the remaining friends had to contribute Rs. 4 extra each, the total

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Sure! To complete the task, we need to find the measure of each side of the square that will be formed by rebending the rectangle. The length of the rectangle is 27 cm and the breadth is 17 cm, so the area of the rectangle is: Area = length x breadth = 27 x 17 = 459 cm^2 Since the rectangle is being rebent to form a square, the length and breadth

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Based on the information provided in the question, we can start by identifying the total amount of money that the man has to divide: Total amount = Rs 8600 Now, we know that each daughter receives four times as much as each nephew, so the amount each daughter receives can be found by multiplying the total amount by 4: Amount each daughter receives = Total amount x 4 = Rs 8600 x 4

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Sure, I can help you with that! Based on the information provided in the question, we can solve for Meenu's weight as follows: Meenu said that she weighs 29 Kgs plus half of her weight, which is 29 + (51/2) = 29 + 25.5 = 54.5 Kgs. Therefore, Meenu weighs 54.5 Kgs.

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Sure! Based on the information provided in the question, Roy will consume all 5 tablets in 45 minutes. Therefore, the correct answer is (A) 45 Min.