The length, breadth and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm respectively. find the length of the longest rod that can measure the dimensions of the room exactly.

Given : Length = 850 cm Breadth = 625 cm Height = 475 cm Concept Used: The length of the longest rod that can measure the dimensions of the room exactly will be the HCF of length, breadth, and height of a room. Calculations: 850 = 2× 5× 5 × 17 625 = 5× 5× 5× 5 475 = 5× 5× 19 HCF = 5× 5 = 25 Hence the required length of the rod is 25 cm.

Water level in a well was 20m below ground level. During the rainy season, rainwater collected indifferent water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is

Length of room = 8m 25cm = 825 cm Breadth of room = 6m 75m = 675 cm Height of room = 4m 50m = 450 cm ∴ The required longest rod = HCF of 825, 675 and 450 First consider 675 and 450 By applying Euclid’s division lemma 675 = 450 × 1 + 225 450 = 225 × 2 + 0 ∴ HCF of 675 and 450 = 825 Now consider 625 and 825 By applying Euclid’s division lemma 825 = 225 × 3 + 150 225 = 150 × 1 + 75 150 = 75 × 2 + 0 HCF of 825, 675 and 450 = 75

Views: 6,031 2 + 2 2 ​ (B) 3 + 2 2 ​ (C) 3 − 2 ​ 9-24 A circle of radius 1 cm rolls around the inside of a regular hexagon with all sides of length 4 cm, so that the circle is always touching at least one of the hexagon walls. (See the diagram.) The distance measured in centimetres that the centre of the circle travels before the circle returns to where it began is : Figure 9.61 (A) 12 3 ​ (B) 18 (C) 42 − 12 3 ​ (D) 24 − 4 3 ​ 9-25 Three congruent circles are tangent to one another as shown in figure-9.62. Circle A is tangent to both the x-axis and the y-axis. Circle B is tangent to the x-axis. The centre of circle A has coordinates ( 2 , 2 ). What are the coordinates of the centres of circles B ​ and C ? 7. The length, breadth and height of a room are 8 m 50 cm , 6 m 25 cm and 4 m 75 cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly. A [Board Term-1, 2016] Updated On Nov 8, 2022 Topic All topics Subject Mathematics Class Class 10 Answer Type Video solution: 1 Upvotes 85 Avg. Video Duration 6 min

student the question given year is the Length breadth and height of a room are 8m 25cm 675 and 450 CM determine the longest word which can measure the three dimension of the room exactly length equal to 8 matter and 25 35 cm is equal to 825 cm is equal to 825 CM length 25 CM breadth equal to 6 metre and 75 cm that is equal to 600 metre 600 CM last 75 X 75 cm equal to four matter and 50 CM k400 plus 236 part 24 find the largest law which can measure the dimension of the known exactly who have to find the HCF of these three numbers that is the Length breadth and height which is equal to write 25 and 450 have to find HCF of 25 675 and 450 fast version 2 the prime factors of 25 675 and 450 the prime factors of a 25 equal to x square x 11 / 38 become something the factor of 5 divided by 5 ok factor of 511 and other number is 675 the prime factors of 675 part 3 to the power 3 x 5 to the power to find out the prime factors of 415 equal to 2 x 3 to the power 2 x 5 to the power to accept of these three number is the lowest power power of a common prime factor that is your common factors are three countries lost power is 3 and 55 slowest power is 2.25 x 3 is equal to 75 the length of the rod which can measure the three-dimensional of exactly 75

Free PDF Download of CBSE Class 10 Maths Chapter 12 Areas Related to Circles Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Areas Related to Circles MCQs with Answers to know their preparation level. Important Questions for Class 10 Maths Chapter 1 Real Numbers Question 1. The decimal expansion of the rational number will terminate after how many places of decimals? (2013) Solution: Question 2. Write the decimal form of Solution: Non-terminating non-repeating. Question 3. Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11, and 15 respectively. Solution: Algorithm 398 - 7 = 391, 436 - 11 = 425, 542 - 15 = 527 HCF of 391, 425, 527 = 17 Question 4. Express 98 as a product of its primes. Solution: 2 × 7 2 Question 5. If the HCF of 408 and 1032 is expressible in the form 1032 × 2 + 408 × p, then find the value of p. Solution: HCF of 408 and 1032 is 24. 1032 × 2 + 408 × (p) = 24 408p = 24 - 2064 p = -5 Real Numbers Class 10 Important Questions Short Answer-I (2 Marks) Question 6. HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27, find the other number. (2012) Solution: We know, 1st number × 2nd number = HCF × LCM ⇒ 27 × 2nd number = 9 × 459 ⇒ 2nd number = = 153 Question 7. Find HCF and LCM of 13 and 17 by prime factorisation method. (2013) Solution: 13 = 1 × 13; 17 = 1 × 17 HCF = 1...

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