Title 7. CUBE AND CUBE ROOTS.pdf ✅

7. CUBE AND CUBE ROOTS (MASTER QUESTION BANK – MCQS) 1. The one’s digit of the cube of the number 68 is: (1) 1 (2) 2 (3) 6 (4) 8 2. What is the one’s digit in the cube root of the cube number 1331? (1) 1 (2) 2 (3) 3 (4) 4 3. 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 smallest number by ehich the number 72 must be multiplied to obtain a perfect cube is 3. Reason (R): The cube root of a number is the factor that we multiply by itself three times to get that 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. 4. Which of the following numbers is a perfect cube? (1) 343 (2) 443 (3) 543 (4) 643 5. The smallest number that can be expressed the sum of two cubes in two different ways is: (1) 20683 (2) 13832 (3) 4104 (4) 1729 6. 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): 10000 is not a cube number Reasons (R): A cube number is a number multiplied by itself 3 times (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. 7. Which of the following numbers is not a perfect cube? (1) 1331 (2) 512 (3) 343 (4) 100 8. The cube of an odd natural number is: (1) Even. (2) Odd. (3) May be even, may be odd. (4) Prime number. 9. The cube of 23 is: (1) 2304 (2) 529 (3) 23 (4) 12167 10.The one’s digit of the cube of the number 325 is: (1) 2 (2) 5 (3) 3 (4) 6 11.Find the smallest number by which the number 250 must be divided to obtain a perfect cube. (1) 2 (2) 3 (3) 4 (4) 5 12.If the side of the cubical box is 9cm. What will be its volume? (1) 729cm 3 (2) 21cm 3 (3) 343cm 3 (4) 27cm 3 13.Cube of even natural number is _____ number. (1) even (2) odd (3) negative (4) prime
14.Mark (✓) against the correct answer: Which of the following numbers is a perfect cube? (1) 121 (2) 169 (3) 196 (4) 216 15.A perfect cube of a number having 0 at its unit place, ends with _____ zeros. (1) 2 (2) 1 (3) 4 (4) 3 16.When the square of a number is subtracted from the cube of the same number, it becomes 100. Find the number. (1) 2 (2) 4 (3) 1 (4) 5 17.The one’s digit of the cube of the number 242 is: (1) 8 (2) 6 (3) 4 (4) 2 18.Which of the following numbers is a perfect cube? (1) 125 (2) 36 (3) 75 (4) 100 19.Tick (✓) the correct answer: √512 3 = ? (1) 5 (2) 9 (3) 8 (4) 2 20.Which of the following is equal to its own cube? (1) 1 (2) 2 (3) 3 (4) 9 21.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 one's digit of the cube of the number 50 is 2. Reason (R): A perfect cube 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. 22.If the digit in one’s place of a number is 6, then the last digit of its cube will be: (1) 6 (2) 3 (3) 2 (4) 8 23.What is the one’s digit in the cube root of the cube number 8000? (1) 0 (2) 2 (3) 4 (4) 8 24.The cube of an odd natural number is: (1) Even (2) Odd (3) May be even, may be odd (4) Prime number 25.Tick (✓) the correct answer: √ 64 343 3 = ? (1) 4 9 (2) 4 7 (3) 4 9 (4) 4 9 26.Find the smallest number by which the number 88 must be divided to obtain a perfect cube. (1) 11 (2) 5 (3) 7 (4) 9 27.Which among is the smallest number by which we should multiply 6125 to get a perfect cube? (1) 3 (2) 2 (3) 7 (4) 5 28.If x is ones digit and y is tens digit of a two digit number, then the cube of the number
will be _________. (1) (10y+x) 3 (2) (10y+x) 2 (3) (10x+y) 3 (4) Non of these 29.Which of the following statement is true about cube number? (1) Cube of negative numbers is negative. (2) Cube of negative numbers is positive. (3) Cube of negative number is either negative positive. (4) Cube of positive.numbers negative. 30.Which of the following is a perfect cube? (1) 10000 (2) 243 (3) 343 (4) 270000 31.Which of these numbers is not a cube number? (1) 343 (2) 729 (3) 10000 (4) 64 32.Find the smallest number by which the number 200 must be multiplied to obtain a perfect cube. (1) 2 (2) 1 (3) 5 (4) 100 33.If the digit in one’s place of a number is 2, then the last digit of its cube will be: (1) 2 (2) 4 (3) 6 (4) 8 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): The one's digit of the cube of the number 325 is 0. Reason (R): A perfect cube 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. 35.Find the cube root of the following number by prime factorisation method: 64 (1) 2 (2) 4 (3) 8 (4) 10 36.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 smallest number by which the number 375 must be divided to obtain a perfect cube is 3. Reasons (R): The perfect cube is the result of multiplying the same integer three times. (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. 37.Which of the following is false? (1) Cube of any odd number is odd. (2) A perfect cube does not end with two zeroes. (3) The cube of a single digit number may be a single digit number. (4) There is no perfect cube which ends with 8. 38.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 zeroes at the end of the cube of 100 is 4. Reason (R): The cube root of a number is the factor that we multiply by itself three times to get that 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. 39.The cube root of 216000 is? (1) 600 (2) 60 (3) 6000 (4) None of these
40.If the digit in the unit's place of a number is 7. what will be the digit at the unit's place in its cube? (1) 7 (2) 9 (3) 1 (4) 3 41.Which of the following is a perfect cube ? (1) 125 (2) 135 (3) 145 (4) 115 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 smallest number by ehich the number 375 must be divided to obtain a perfect cube is 3. Reason (R): The cube root of a number is the factor that we multiply by itself three times to get that 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. 43.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): 27 is a cube number Reasons (R): A cube number is a number multiplied by itself 3 times (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. 44.The one’s digit of the cube of 53 is: (1) 9 (2) 3 (3) 7 (4) 1 45.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 zeroes at the end of the cube of the number 100 is 4 Reasons (R): A cube number is a number multiplied by itself 3 times (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. 46.Find the smallest number by which the number 108 must be multiplied to obtain a perfect cube. (1) 2 (2) 3 (3) 4 (4) 5 47.The cube of the given number is :1.3. (1) 2.197 (2) 2.187 (3) 3.477 (4) 8.447 48.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 smallest number by which the number 72 must be multiplied to obtain a perfect cube is 3. Reasons (R): The perfect cube is the result of multiplying the same integer three times. (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. 49.Tick (✓) the correct answer: (1 3 10 ) 3 = ? (1) 1 27 1000 (2) 2 27 1000 (3) 2 197 1000 (4) None of these. 50.The one’s digit of the cube of 53 is: (1) 9 (2) 3 (3) 7 (4) 1