Question
If the digit in one’s place of a number is 3, then the last digit of its cube will be
- 3
- 6
- 7
- 9
Hint:
Last digit of cube of a number = (last digit of the number)3
The correct answer is: 7
GIVEN-
digit at one's place of a number = 3
TO FIND-
Last digit of the cube of the given number.
SOLUTION-
Let the last digit of the cube of the given number be 'x'.
Now, we know that when we find the cube of any number,
∴ Last digit of cube of a number = (last digit of the number)3
∴ x = (last digit of the number)3
∴ x = (3)3
∴ x = 3 * 3 * 3
∴ x = 27
Hence last digit will be 7.
FINAL ANSWER-
Option 'c' i.e. '7' is the correct answer to the given question.
Related Questions to study
Which of the following is correct?
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The square root of
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Guess the irrational numbers that lies between 
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How many two-digit numbers satisfy the following property given below:
The last digit (unit's digit) of the square of the two-digit number is 8?
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The last digit (unit's digit) of the square of the two-digit number is 8?
Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?
Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?
Students of a class collected as many paise from each student of class as is the number of students in that class. If the total collection is Rs. 59.29, then find the total number of students in the class.
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The cube root of .000216 is
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What is the smallest number by which 3600 be divided to make it a perfect cube?
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The largest four-digit number, which is a perfect cube, is:
The largest four-digit number, which is a perfect cube, is:
The least number that should be multiplied with 1008 to make it a perfect square is
Alternatively, the question can be solved by multiply numbers in each of the options given and then check whether the resultant number is a perfect square or not-
a. 5
1008 * 5 = 5040
We know that 5040 is not a perfect square because √5040 = 12√35.
b. 2
1008 * 2 = 2016
We know that 2016 is not a perfect square because √2016 = 12√14.
c. 7
1008 * 7 = 7056
We know that 7056 is a perfect square because √7056 = 84.
d. 8
1008 * 8 = 8064
We know that 8064 is not a perfect square because √8064 = 24√14.
FINAL ANSWER REMAINS THE SAME.
The least number that should be multiplied with 1008 to make it a perfect square is
Alternatively, the question can be solved by multiply numbers in each of the options given and then check whether the resultant number is a perfect square or not-
a. 5
1008 * 5 = 5040
We know that 5040 is not a perfect square because √5040 = 12√35.
b. 2
1008 * 2 = 2016
We know that 2016 is not a perfect square because √2016 = 12√14.
c. 7
1008 * 7 = 7056
We know that 7056 is a perfect square because √7056 = 84.
d. 8
1008 * 8 = 8064
We know that 8064 is not a perfect square because √8064 = 24√14.
FINAL ANSWER REMAINS THE SAME.
