Question: The square root of 24336 is exactly

(A) 152
(B) 153
(C) 155
(D) 156
(E) 158

Correct Answer: (D)
Solution and Explanation:
Approach Solution 1:

The problem statement asks to find out the square root of 24336.

To solve the question we need to find the prime factors of the number 24336
24336 = 4 ∗ 6084 = 4^2 ∗1521= 4^2 ∗9∗ 169= 2^4∗ 3^2 ∗13^2
√24336= 2^2 ∗3∗ 13= 156

Approach Solution 2:

The problem statement asks to find out the square root of 24336.

This question can be solved by this easiest and quickest method:
By analyzing all the options, we can infer that the square of only 156 has the unit digit 6 which the number 24336 itself has. Therefore, it can be deduced that 156 is the square root of 24336.

Approach Solution 3:

The problem statement asks to find out the square root of 24336.

As we know, 100^2 = 10 000 and 200^2 = 40 000
Hence, the square root of 24336 will stand between 100 and 200, thus holding three digits.

Since we know that the result is an integer, we can find the square root of the number in such a way:
150^2 = 22 500
160^2 = 25 600

Therefore, the last digit will be either 4 or 6.
Thus, the possible answers are 154 or 156.
However, since 24 000 is nearer to 25 000 than to 22 000, it is suitable to choose 156 as the answer.
Therefore, the square root of 24336 = 156.

“The square root of 24336 is exactly''- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. GMAT Problem Solving questions test the candidates’ aptitude and efficiency in solving mathematical problems. GMAT Quant practice papers consist of several sorts of questions that will help the candidates to improve their numerical learning and mathematical understanding.

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