Which of the following numbers is a perfect square?

A perfect square is a squared number i.e a number which can be expressed as a product of two equal integers
$$i.e.4=>2\cdot2=2^2$$
So, 4 is a perfect square
Therefore, to find if a number is a perfect square we just have to find the square root and check if it gives a whole number without remainder
$$i.e.\sqrt{4}=2\ and\ 2^2=4$$
$$For\ 1266=>\sqrt{1266}=35.58\ \left(wrong\right)$$
$$For\ 1444=>\sqrt{1444}=38\ \left(correct\right)$$
$$For\ 2022=>\sqrt{2022}=44.97\ \left(wrong\right)$$
$$For\ 4034=>\sqrt{4034}=63.51\ \left(wrong\right)$$
$$For\ 8122=>\sqrt{8122}=90.12\ \left(wrong\right)$$

1444 is the only perfect square.
Answer = option B

Quote

swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Mon Sep 09, 2019 2:57 am

BTGmoderatorDC wrote:Which of the following numbers is a perfect square?

A. 1266
B. 1444
C. 2022
D. 4034
E. 8122

OA B

Source: Veritas Prep

Let's begin by eliminating answer choices C and E since a perfect square cannot end in 2,3,7 or 8.

Now between A, B and D. Well, we can see that all numbers are even for starters. This means that they also must be divisible by 4.

Only B fits the bill.

Therefore, __B__ is the correct answer.

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Thu Sep 12, 2019 10:20 am

BTGmoderatorDC wrote:Which of the following numbers is a perfect square?

A. 1266
B. 1444
C. 2022
D. 4034
E. 8122

OA B

Source: Veritas Prep

The units digit of a perfect square can be only 0, 1, 4, 5, 6, or 9. Therefore, we can eliminate choices C and E. Since 30^2 = 900 and 40^2 = 1,600, if 1266 and 1444 are perfect squares, they must be the square of a number between 30 and 40. Since 1266 is closer to 1600 than it is to 900 and if it's a perfect square, only one integer - 36 - could be its square root. However, since 36^2 = 1296, then 1266 is not a perfect square. Similarly, since 1444 is closer to 1600 than it is to 900 and if it's a perfect square, only one integer - 38 - could be its square root. Since 38^2 = 1444, we see that 1444 is a perfect square.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]