Tiêu đề 6. SQUARES AND SQUARE ROOTS.pdf ✅

(2)961 (3)1764 (4)2809 16. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): 9 2 = 40 + 41. Reason (R): The sum of any two consecutive numbers is always odd. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true 17. The number of digits in the square root of 441 is: (1)1 (2)2 (3)3 (4)4 18. 169 is the square of: (1)11 (2)12 (3)13 (4)16 19. If 252 = 625, then the square root of 625 is: (1)5 (2)25 (3)125 (4)625 20. The unit digit in the square of the number 125 is: (1)1 (2)2 (3)5 (4)6 21. Which of the following Pythagorean triplet has the smallest member ‘8’ (1)8, 11, 14 (2)8, 10, 12 (3)8, 9, 10 (4)8, 15, 17 22. What is the square root of 79.21? (1)8.9 (2)9.8 (3)8.4 (4)8.7 23. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): The unit digit in the square of the number 125 is 5 Reasons (R): Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true. 24. Which of the following number would have digit 1 at units place? (1)81 2 (2)18 2 (3)54 2 (4)95 2 25. Tick (✓) the correct answer of the following: Which of the following numbers is not a perfect square? Hint: The number 2222 ends in 2. (1)1444 (2)3136 (3)961 (4)2222 26. The Pythagorean triples whose smallest number is 8: (1)8, 17, 18 (2)8, 16 17 (3)8, 15, 16 (4)8, 15, 17 27. The sum of first ‘n’ odd natural numbers is given by: (1)2n (2)n 2 (3)(n + 1) (4)n 2 + 1 28. If the xy = √x 2 + y 2 value of [(1)(2√2)][(1)(−2√2)] is: (1)9 (2)0 (3)-7 (4)2 29. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): The unit digit number 2644 is in the square of the 4. Reason (R): Units digit of a number is the digit in the one's place of the number. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true
30. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): A perfect square number between 30 and 40 is 36. Reasons (R): A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true. 31. What will be the number of zeros in the square of the number 100? (1)2 (2)4 (3)6 (4)8 32. Which of the following is the number of non-perfect square number between 17 2 and 18 2 ? (1)613 (2)35 (3)34 (4)70 33. The value of 1 + √ 0.01 1 − √0.01 is close to: (1)0.6 (2)1.7 (3)1.1 (4)1.6 34. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): If 102 = 100, then the square root of 100 is 10. Reason (R): The square root is the number that we need to multiply by itself to get the original number. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true. 35. If 102 = 100, then the square root of 100 is: (1)1 (2)10 (3)100 (4)1000 36. Which one of the following can be a perfect square? (1)1832 (2)2116 (3)1368 (4)2357 37. Which of 1322, 872, 722 and 2092 would end with digit 1? (1)1322 (2)872 (3)722 (4)2092 38. Express 9 2 as the sum of two consecutive integers. (1)40 + 41 (2)50 + 31 (3)36 + 45 (4)72 + 9 39. Which of the following will have 4 at the units place? (1)14 2 (2)62 2 (3)27 2 (4)35 2 40. If m is the cube root of n, then n is: (1)m3 (2)√m (3) m 3 (4) √m 3 41. The value of (501) 2 - (500) 2 is: (1)1001 (2)1 (3)101 (4)None of these. 42. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): The number of zeros in the square of the number 100 is 4. Reasons (R): The number of zeros at the end of the number obtained, by multiplying the number from 1 to 100 will be. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true. 43. The number of digits in the square root of 100 is: (1)1 (2)2 (3)3 (4)4
44. The unit digit in the square of the number 1111 is: (1)1 (2)2 (3)3 (4)4 45. Which of the following square number is divisible by each of the numbers 6, 9, 15? (1)400 (2)500 (3)600 (4)900 46. Square root of 0.081 0.0064 X 0.484 6.25 X 2.5 21.1 is: (1)0.95 (2)0.45 (3)0.75 (4)0.65 47. Tick (✓) the correct answer of the following: Which of the following numbers is not a perfect square? (1)7056 (2)3969 (3)5478 (4)4624 48. The value of 1 + 3 + 5 + 7 + 9 + ..... + 25 is: (1)196 (2)625 (3)169 (4)225 49. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): The unit digit number 209 is in the square of the 1. Reason (R): Units digit of a number is the digit in the one's place of the number. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true 50. The square of which of the following numbers will be odd? (1)42 (2)54 (3)66 (4)81 51. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): Non square numbers lie between the pair of 80 2 and 81 2 are 160. Reason (R): The Natural numbers are the positive which start from 1 and at infinity. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true 52. Which of the following numbers is not a perfect square? (1)62500 (2)57600 (3)90000 (4)63147 53. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): 7 2 = 23 + 24 Reasons (R): The sum of any two consecutive numbers is always odd (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true. 54. What will be the number of zeros in square of 400? (1)4 (2)2 (3)6 (4)3 55. Given that √4096 = 64, the value of √4096 + √40.96 is: (1)74 (2)60.4 (3)64.4 (4)70.4 56. Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A): The square of the following numbers will be odd 10, 100 ,1000, 99 Reason (R): Any odd integer when divided by two , either leaves a remainder or result is a fraction. (1)Both A and R are true and R is the correct explanation of A. (2)Both A and R are true but R is not the correct explanation of A. (3)A is true but R is false. (4)A is false but R is true.