Class 10- Maths – Real Numbers Welcome to your Class 10- Maths - Real Numbers 1. The decimal representation of \(\frac{11}{2^{3}\times 5}\) will terminate after 1 decimal place not terminate terminate after 3 decimal places terminate after 2 decimal place None 2. If we apply Euclid’s division lemma for two numbers 15 and 4, then we get 15 = 4 × 2 + 7 15 = 4 × 1 + 11 15 = 4 × 3 + 3 15 = 4 × 4 + (–1) None 3. Which of the following is a terminating decimal? 4/7 2/3 3/7 1/2 None 4. The sum of LCM and HCF of two numbers is 1260. If their LCM is 900 more than their HCF, find the product of two numbers 198400 194400 203400 205400 None 5. The following sentences are the steps involved in finding the HCF of 29 and 24 by using Euclid’s division algorithm. Arrange them in sequential order from first to last.a)5 = 1 × 5 + 0 b)29 = 24 × 1 + 5 c)24 = 5 × 4 + 1 cab abc bac bca None 6. Find the remainder when the square of any number is divided by 4 1 Either (1) or (2) Neither (1) nor (2) 0 None 7. Find the remainder when the square of any prime number greater than 3 is divided by 6. 1 2 3 4 None 8. The LCM of two numbers is 1200. Which of the following cannot be their HCF? 400 600 500 200 None 9. The following are the steps involved in finding the LCM of 72 and 48 by prime factorization method. Arrange them in sequential order from first to last.a)$$72 = 2^{3}\times 3^{2} and 48 = 2^{4} \times 3^{1}$$b)$$2^{4} \times 3^{2}$$c)All the distinct factors with highest exponents are $$2^{4} and 3^{2}$$ acb abc cab bca None 10. . LCM of two co primes (say x and y) is x/y x + y xy x – y None 11. 225 can be expressed as 5³ x 3 5² x 3² 5² x 3 5 x 3² None 12. If n is an odd natural number, 3^2n + 2^2n is always divisible by 13 5 19 17 None 13. For What Values of x, 2^x, 5^x ends in 5? No Value of x 1 2 0 None 14. If ‘p’ is multiple of ‘q’, then HCF and LCM of ‘p’ and ‘q’ is: HCF = p x q = LCM HCF = p, LCM = q HCF = q, LCM = p None of these None 15. Which of the following is an irrational number? $$\frac{\sqrt{5}}{\sqrt{20}}$$ $$\frac{\sqrt{63}}{\sqrt{7}}$$ $$\frac{\sqrt{2}}{\sqrt{8}}$$ $$\frac{\sqrt{3}}{3\sqrt{5}}$$ None 16. HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, then the other number is 35 36 81 9 None 17. If the product of two irrational numbers is rational, then which of the following can be concluded? The ratio of the greater and the smaller numbers is an integer The excess of the greater irrational number over the smaller irrational number must be rational None of the above The sum of the numbers must be rational None 18. The decimal expansion of \(\frac{23}{2^{5}\times 5^{2}}\) will terminate after how many places of decimal? 2 1 5 4 None 19. The HCF and the LCM of 12, 21, 15 respectively are 420,3 3,420 12,420 3, 140 None 20. N is a natural number such that when N³ is divided by 9, it leaves remainder a. It can be concluded that neither (1) nor (2) both (1) and (2) a is a perfect square a is a perfect cube None 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.
