## Importance question of real number for class 10

The real number is an extremely important chapter for the class 10 board. It is a simple and scoreable chapter, you can easily score good marks on board by practicing good problems for normal paper. So here are the few important questions of real number for class 10, read and try to solve it.

Q.1 The LCM of the two numbers is 1200. which of them cannot be their HCF?

a) 600 b) 500 c) 400 d) 200

Q.2 for a few integer q, every odd integer is of the shape

a) q b) q+1 c) 2q d) 2q+1

Q.3 n^2-1 is divisible by 8, if n is

a) an integer b) a number c) an odd integer d) a good integer

Q.4 If the HCF of 65 and 117 is expressible within the form 65m-117, then the worth of m is

a) 4 b)2 c) 1 d) 3

Q.5 What is a composite number?

Q.6 What is the HCF of the smallest composite number and the smallest prime number?

Q.7 Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237. Also, show that this combination is not unique.

Q.8 Find the best number which divides 285 and 1249 leaving remainders 9 and7 respectively.

Q.9 The length, breadth and height of a room are 8 m 25 cm , 6m 75cm and 4 m 50 cm , respectively. determine the longest rod which may measure the three dimensions of the space exactly.

Q.10 Express the HCF of 468 and 222 as 468x +222 y where x, y are integers in two different ways.

Q.11 Explain why 3*5*7+7 is a composite number.

Q.12 Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.

Q.13 Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468.

Q.14 A rectangular courtyard is 18m 72 cm long and 13 m 20 cm broad. it is to be paved with square tiles of the same size. Find the least possible number of such tiles.

Q.15 Find the best number of 6 digits exactly divisible by 24, 15, and 36.

These are a few important questions about the real number for class 10. you can prepare your chapter easily by practicing these problems and don’t forget to comment on your opinion.

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