Class 10- Maths – Real Numbers Welcome to your Class 10- Maths - Real Numbers 1. 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 205400 203400 None 2. 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 sum of the numbers must be rational None of the above The excess of the greater irrational number over the smaller irrational number must be rational None 3. The HCF and the LCM of 12, 21, 15 respectively are 3, 140 12,420 420,3 3,420 None 4. 225 can be expressed as 5 x 3² 5² x 3 5³ x 3 5² x 3² None 5. Find the remainder when the square of any number is divided by 4 Either (1) or (2) 0 1 Neither (1) nor (2) None 6. Find the remainder when the square of any prime number greater than 3 is divided by 6. 1 3 2 4 None 7. The decimal expansion of \(\frac{23}{2^{5}\times 5^{2}}\) will terminate after how many places of decimal? 4 1 5 2 None 8. Which of the following is an irrational number? $$\frac{\sqrt{3}}{3\sqrt{5}}$$ $$\frac{\sqrt{63}}{\sqrt{7}}$$ $$\frac{\sqrt{2}}{\sqrt{8}}$$ $$\frac{\sqrt{5}}{\sqrt{20}}$$ None 9. The LCM of two numbers is 1200. Which of the following cannot be their HCF? 600 500 400 200 None 10. . LCM of two co primes (say x and y) is xy x – y x/y x + y None 11. 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 9 81 None 12. Which of the following is a terminating decimal? 2/3 1/2 4/7 3/7 None 13. If n is an odd natural number, 3^2n + 2^2n is always divisible by 5 13 19 17 None 14. If ‘p’ is multiple of ‘q’, then HCF and LCM of ‘p’ and ‘q’ is: HCF = p x q = LCM None of these HCF = q, LCM = p HCF = p, LCM = q None 15. N is a natural number such that when N³ is divided by 9, it leaves remainder a. It can be concluded that both (1) and (2) a is a perfect cube neither (1) nor (2) a is a perfect square None 16. 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 $$2^{4} and 3^{2}$$ abc acb cab bca None 17. For What Values of x, 2^x, 5^x ends in 5? 1 2 No Value of x 0 None 18. The decimal representation of \(\frac{11}{2^{3}\times 5}\) will terminate after 3 decimal places terminate after 1 decimal place terminate after 2 decimal place not terminate None 19. 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 × 4 + (–1) 15 = 4 × 3 + 3 None 20. 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 bac bca cab abc 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.
