## Important questions of Maths class 10 chapter 1 Real number

**CLASS – X**

**CHAPTER â€“ 1 REAL NUMBERS**

**SESSION: 2022-23**

__OBJECTIVE TYPE QUESTIONS__

- The LCM and HCF of two rational numbers are equal, then the number must be ___
- What is the sum of exponents of prime factors in the prime factorisation of 196?
- What is the product of H.C.F and L.C.M of the smallest prime number and the smallest composite number?
- What is the remainder when the square of any prime number greater than 3 is divided by 6. ?
- If n is any natural number, then 6
^{n}– 5^{n}always ends with which digits? - How many number of decimal places after which the decimal expansion of the rational number will terminate?
- If two positive integers a and b are expressible in the form a = pq
^{2}and b = p^{3}q ; p, q being prime numbers then what is L.C. M (a,b) ? - What is the product of H.C.F and L.C.M of the smallest prime number and the smallest composite number?
- After how many places will decimal expansion 21/24 terminates?
- If the HCF of 85 and 153 is expressible in the form 85n â€“ 153, then find the value of n.
- If a and b are prime numbers, then what is their L.C.M?
- What is the product of LCM and HCF of 50 and 20?

Important questions of Maths class 10 chapter 1 Real number

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__SUBJECTIVE TYPE QUESTIONS__

- Explain why 11 X 13 X 15 X 17 + 17 is a composite number ?
- If three pieces of planks 63m, 42m and 49 m long have to be divided into planks of same length, then what will be the least possible number of planks?
- Three bells toll at intervals of 9, 12, 15 mins respectively. If they start tolling together, after what time will they next toll together?
- Show that any positive integer is of the form 3q or, 3q + 1 or, 3q + 2 foe some integer q.
- Show that n
^{2}â€“ 1 is divisible by 8, if n is an odd positive integer. - Show that one and only one out of n, n+2 or, n+4 is divisible by 3, where n is any positive integer.
- Check whether 4
^{n}can end with the digit 0 for any natural number n. - The L.C.M of two numbers is 14 times their H.C.F. The sum of L.C.M and H.C.F is 600. If one number is 280, then find the other number.
- Find HCF of 96 and 404 by prime factorization method. Hence find their L.C.M
- Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.
- Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.
- Prove that âˆš8 is irrational.
- Prove that is irrational
- The length, breadth and height of a room are 8m 25cm, 6m 75cm, and 4m 50cm. respectively. Determine the longest rod which can measure the three dimensions exactly.
- Find the H.C.F and L.C.M of 144, 180 and 192 by prime factorization method.

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Important questions of Maths class 10 chapter 1 Real number

Important questions of Maths class 10 chapter 1 Real number

Important questions of Maths class 10 chapter 1 Real number