Question
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?
- 4
- 12
- 15
- None of these
Hint:
1. We will find the squares of numbers in the given options and check whether the digit at the unit's place of the resultant number is 8 or not.
2. Any number ending in 8 can never be a perfect square. Hence, the answer is none of these.
The correct answer is: None of these
GIVEN-
Unit's digit of the square of a 2 digit number = 8
TO FIND-
Number from the given options that satisfy the given condition.
SOLUTION-
a. 12
(12)2 = 144
Since the unit's digit of the square of 12 is not 8, option a is not the correct answer.
b. 15
(15)2 = 225
Since the unit's digit of the square of 15 is not 8, option b is not the correct answer.
c. 4
(4)2 = 16
Since the unit's digit of the square of 4 is not 8, option c is not the correct answer.
d. None of these
Since none of the given options satisfy the given condition, option d i.e. 'none of these' is the correct answer.
FINAL ANSWER-
Option 'd' i.e. 'None of these' is the correct answer to the given question.
Related Questions to study
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.
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.
The cube root of .000216 is
The cube root of .000216 is
What is the smallest number by which 3600 be divided to make it a perfect cube?
What is the smallest number by which 3600 be divided to make it a perfect cube?
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.
. Round your answer to the nearest whole number.
is between which two integers?
