Multiple Choice QuestionsQ1: Cube root of the expression 1252
(a) 5
(b) 25
(c) 10
(d) 125
Q2: Which of the following is not a perfect square number?
(a) 1156
(b) 4657
(c) 4624
(d) 7056
Q3: Which of these is not a perfect cube but a perfect square of a number
(a) 729
(b) 2197
(c) -1331
(d) 169
Q4: Which of these is a perfect cube
(a) 216
(b) 392
(c) 8640
(d) 243
Q5: √0.09 is
(a) 0.3
(b) 0.03
(c) 0.9
(d) 0.33
Q6: The sum of first n odd natural numbers is
(a) n2
(b) 2n
(c) n2+1
(d) n2−1
Q7: The one’s digit of the cube of 53 is:
(a) 9
(b) 3
(c) 7
(d) 1
Q8: The volume of the cube is 5832m3 , the side is
(a) 18m
(b) 16 m
(c) 28 m
(d) 19m
Q9:A perfect square can never have the following digit in its ones place
(a) 8
(b) 4
(c) 0
(d) 1
Q10: Which of the following expressions is not a perfect cube
(a) 27 x 125 x 64
(b) 1331 x 125 x 8
(c) 15 x 8 x 25 x 9
(d) None of these
True and FalseQ1: 648 is not a perfect cube.
Q2: 999 is a perfect cube.
Q3: The square of a number is positive, so the cube of that number will also be positive.
Q4: 125×8×27 is a perfect cube.
Q5: For an integer p, p3 is always greater than p2.
Q6: 83 = 5.12
Fill in the blanks
Q1: The square of an even number is _____
Q2: The least number by which 72 be multiplied to make it a perfect cube is __________.
Q3: √4096 is ____
Q4: If 8x3=216, then x ix ____
Q5: The cube of .5 is _____
Q6: There are _________ perfect cubes between 1 and 1000.
Q7: The digit at the ones place of 233 is ____
Q8: The cube of the even natural number is ____
Find the cube roots by prime factorization method
Q1: 15625
Q2: 2744
Q3: 125/2197
Q4: 5832
Q5: 64000
Find the square roots by prime factorization method
Q1: 144
Q2: 3600
Q3: 2025
Q4: 81/256
Q5: 1024
Q6: 3844
Answer the following questions
Q1: Is 256 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
Q2: What could be the possible ‘one’s’ digits of the square root of each of the following numbers?
(i) 1801
(ii) 856
(iii) 1008001
(iv) 6577525
Q3: Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.
Q4: Find the smallest number by which following number must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.
(i)600
(ii)2904
Q5: Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.
(i) 1008
(ii) 1280
(iii) 1875
You can access the solutions to this Unit Test here.