CUBE & CUBE ROOT
1.By which smallest number 1323 must be multiplied, so that
it becomes a perfect cube?
1) 2
2) 3
3)
5
4) 7
2. Which of the following is a perfect square as well as a
cube? 343, 125, 81 or 64
1) 81
2)
125
3)343
4) 64
3. The square of a natural number subtracted from its cube
is 48. The number is:
1) 8
2) 6
3)
5
4) 4
4. The least possible value of A for which 90 x A is a
perfect cube is
1) 200
2)
300
3)
500
4) 600
5. Sum of digits of the smallest number by which 1440 be
multiplied so that it becomes a perfect cube, is
1) 4
2)
6
3) 7
4) 8
6. The sum of the digit of the smallest number which, when
multiplied by 1800, gives a perfect cube, is:
1) 2
2)3
3)
6
4)8
7. The sum of the cubes of the numbers 22, -15 and -7 is
equal to
1) 6930
2)
9630
3) 3
4)0
8. Which smallest
number must be added to 710 so that the sum is a perfect cube?
1) 29
2) 19
3)11
4)
21
9. The least number, by which 1944 must be multiplied so as
to make the result a perfect cube, is
1) 2
2)
3
3) 6
4) 13
10. The sum of the
square of 2 numbers is 146 and the square root of one of them is 
. The cube of the other
number is
. The cube of the other
number is
1)1111
2)
1221
3) 1331
4) 1441
11. The smallest
natural number, by which 3000 must be divided to make the quotient a perfect
cube, is:
1) 3
2)
4
3) 5
4)6
12. The smallest positive integer n, for which 864n is a
perfect cube, is:
1) 1
2)
2
3) 3
4) 4
13. By what least
number should 675 be multiplied so as to obtain a perfect cube number?
1) 3
2)
5
3) 24
4) 40
14. The least number, that must be added to 1720 so as to
obtain a perfect cube, is
1) 7
2)
8
3) 11
4) 13
15. By what least
number should 4320 be multiplied so as to obtain a number which is a perfect
cube?
1) 40
2)
50
3) 60
4) 80
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