Question

When a square no. ___ in \[6,\] the number whose square it is, will either have \[4\] or \[6\] in ___ place.
A) ends, units
B) starts, units
C) ends, tens
D) starts, tens

Answer 1

Hint: To solve this question, we will take a few examples and check where the number has \[4\] or \[6\]in units or tens place, and the square number of that number will have \[6\] in ending or in starting. Then after checking we will get our required answer out of four options.

Complete step-by-step answer:
We have been given that when a square no. ___ in \[6,\] the number whose square it is, will either have \[4\] or \[6\] in a ___ place. We need to fill in the blanks with a suitable answer.
So, we will start with assuming the numbers.
Let the square number be \[36,\] in it the square number ends with \[6,\] and it is a square of \[6,\] so it has \[\;6\] in units place.
i.e., \[6 \times 6 = 36\]
Let us take an example of another number, let the square number be \[576,\] here the square number with \[6,\] and it is a square of \[24,\] so it has \[4\] in units’ place. ​
i.e.,\[24 \times 24 = 576\]
So, the products are ending with \[6\] and the no. has \[6\] and \[4\] in its units’ place.
Thus, option (A), (ends, units), is correct.
So, the correct answer is “Option A”.

Note: In the solutions, we have mentioned units, tens, etc. These are called the place value of a digit. Let us consider a number \[1234,\] to know the place value of digits, we always start from the right side, so, here \[4\] is at units’ place, \[3\] is at tens place, \[2\] is at hundreds place and \[1\] is at thousands place.