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