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