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