Question & Answer
QUESTION

222222 is not a perfect square. Give reason.
A. Because the last two digits are 22.
B. Numbers end with 2.
C. Because the sum of digits are 12.
D. Data insufficient.

ANSWER Verified Verified
Hint:In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not. Using this information we need to find the desired answer.

Complete step-by-step answer:
Squares of all integers are known as perfect squares.A perfect square never ends in 2,3,7 or 8 .This is the first observation you will make to check for perfect square.The given number 222222 ends with 2, so the number is not perfect square.
Thus 222222 is not the complete square because the last digit end with 2..
Option B is the correct answer.

Note-In such a particular question, we should understand the basic concepts about perfect squares. When a polynomial or a whole number is multiplied by itself, then it is a perfect square.
Properties of perfect squares:
(i) Numbers ending in 2, 3, 7 or 8 are never a perfect square but on the other hand, all the numbers ending in 1, 4, 5, 6, 9, 0 are not square numbers.
(ii) A number ending in an odd number of zeros is never a perfect square.
(iii) The square of an even number is always even.
(iv) The square of an odd number is always odd.