Class 10 – maths -Real Numbers 2 marks Welcome to your Class 10 - maths -Real Numbers 2 marks 1. If HCF of 144 and 180 is expressed in the form 13m - 16 . Find the value of m. 2. A number when divided by 61 gives 27 as quotient and 32 as remainder.Find the number 3. By what number should 1365 be divided to get 31 as quotient and 32 as remainder? 4. Using Euclid’s division algorithm, fi nd the HCF of(i) 405 and 2520 (ii) 504 and 1188 (iii) 960 and 1575. 5. To prove that √5 is irrational by contradiction, it is assumed that √5 is rational, such that √5 = r/s, where r and s are non-zero integers. Write the right sequence of steps for the proof to conclude that √5 is irrational?(i) Taking r = 5q , for some integer q, we get s² = 5q², so that r and s have atleast one common factor.ii) Assuming that r and s are co-primes.iii) r² is divisible by 5 and thus, r is also divisible by 5 iv) Squaring both sides we get 5s² =r²The correct sequence is %BLANK% (iii) , (iv), (ii) ,(i) (iii) , (iv), ,(i), (ii) (iii) ,(i), (ii), (iv) (ii), (iv), (iii) ,(i) None 6. Rohit Singh is a worker in a petrol pump. He along with the other coworkers, use to transfer petrol from tanker to storage. On Monday, there were two tankers containing 850 litres and 680 litres of petrol respectively.What is the maximum capacity of a container which can measure thepetrol of either tanker in exact number of time? litres 7. A, B and C starts cycling around a circular path in the same direction at the same time.Circumference of the path is 1980 m. If speed of A is 330 m/min, speed of B is 198 m/min and that of C is 220 m/min and they start from the same point, then after what time will they be together at the starting point?They will meet after min 8. The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.The length of the longest tape should be 9. In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm and 90cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?Minimum distance each should walk so that all can cover the samedistance in complete steps. 10. There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.Number of sections = 11. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then what is the sum of the digits in N ? 12. A merchant has 120 liters and 180 liters of two kinds of oil. He wants to sell the oil by filling the two kinds in tins of equal volumes. Find the greatest volume of such a tin.The greatest capacity of the tin is litres. 13. Find the least number of soldiers in a regiment such that they stand in rows of 15, 20, 25 and form a perfect square.The least number of soldiers required is 14. If A, B and C are three rational numbers such that 28C - 340A = 40, 312A +28B = 44, then the sum of A, B and C is divisible by which prime number? A + B + C is divisible by 15. The HCF of two given number is 116 and their LCM is 1740. If one number is580. Find the other one Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
