Question with Answer SSC Mathematics

1. The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is
(a) 3
(b) 4
(c) 5
(d) 6
Ans. (a)
 
2. The smallest positive integer n, by which 864 is multiplied, so as to make the result a perfect cube, is
(a) 1
(b) 2 
(c) 3   
(d) 4 
Ans. (b)
 
3. Which smallest number must be added to 710, so that the sum is a perfect cube?
(a) 29
(b) 19
(c) 11
(d) 21
Ans. (b)
 
4. The sum of the digits of the smallest number which, when multiplied by 1800, gives a perfect cube, is
(a) 2
(b) 3 
(c) 6
(d) 8  
Ans. (c) 

5. The sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube, is 
(a) 4
(b) 6 
(c) 7
(d) 8 
Ans. (b)
 
6. The least possible value of A for which 90 × A is a perfect cube, is
(a) 200
(b) 300 
(c) 500
(d) 600
Ans. (b)
 
7. Which of the following is a perfect square as well as a cube?
343,  125,  81   or   64
(a) 81
(b) 125
(c) 343
(d) 64
Ans. (d) 
 
8. The square of a natural number subtracted from its cube is 48. The number is
(a) 8
(b) 6
(c) 5
(d) 4
Ans. (d)

9. The least number, that must be added to 1720, so as to obtain a perfect cube, is a
(a) 7
(b) 8
(c) 11
(d) 13
Ans. (b) 
 
10. By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube?
(a) 40
(b) 50 
(c) 60
(d) 80 
Ans. (b)
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