Please tell the answers I will MARK brainlist.
Answers
1. The smallest perfect cube is :-
Answer:- a) 1
[Reason: 1³ = 1]
2. The smallest perfect cube of 2-digit is :-
Answer:- c) 27
[Reason: 2³ = 8, which is 1-digit
3³ = 27, which is 2- digit
Thus, 27 is the required answer]
3. The one's digit of the cube of 122 is :-
Answer:- b) 8
[Reason: 122³ = 1815848
or
The one's digit of 122 is 2, hence the cube of 2 will be the one's digit of the cube of 122
i.e. 2³ = 8]
4. The number of perfect cubes from 1 to 1000 is :-
Answer:- c) 10
[Reason: There are 10 perfect cubes from 1 to 1000. i.e.
1 × 1 × 1 = 1
2 × 2 × 2 = 8
3 × 3 × 3 = 27
4 × 4 × 4 = 64
5 × 5 × 5 = 125
6 × 6 × 6 = 216
7 × 7 × 7 = 343
8 × 8 × 8 = 512
9 × 9 × 9 = 729
10 × 10 × 10 = 1000]
5. Which of the following is a perfect cube :-
Answer:- b) 216
[Reason: 216 = 6³]
6. The greatest cube of three digit number is :-
Answer:- c) 729
[Reason: 10³ = 1000 which is 4 digit
But, 9³ = 729
Thus, the greatest cube of three digit number is 729]
7. The smallest Hardy-Ramanujan number is :-
Answer:- b) 1729
8. The one's digit in the cube root of 19683 is :-
Answer:- a) 7
[Reason: 19683 ⇒ 3³ = 27 ⇒ 7]
9. The one's digit of the cube of the number 10708 is :-
Answer:- c) 2
[Reason: 10708 ⇒ 8³ = 512 ⇒ 2]
10. The cube root of 343 is :-
Answer:- c) 7
[Reason: 3√343 = 7]