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This prompt showcases some great Number Property rules that you're likely to face (in some way or another) on the Official GMAT.

Regardless of the actual numbers involved, IF you're dealing with a positive fraction (meaning a value that is greater than 0 and less than 1), then there are some rules to remember...

1) Squaring that fraction will make the result SMALLER 2) Square-rooting that fraction will make the result BIGGER

Here are some additional Number Property rules for NEGATIVE fractions (meaning a value that is less than 0 and greater than -1)....

1) Squaring that fraction will make the result BIGGER (since squaring a negative creates a positive) AND the result will be CLOSER to 0. 2) Cubing that fraction will make the result BIGGER (since the result will be closer to 0).

If r = 0.345, s = (0.345)^2, and t = sqrt(0.345) , which of the following is the correct ordering of r, s, and t ?

A. r < s < t B. r < t < s C. s < t < r D. s < r < t E. t < r < s

CONCEPT:For solving any such question, One must know that

1) If 0<x<1, then the higher powers of x result in smaller numbers and lower powers of x result in a bigger number 2) If x>1, then the higher powers of x result in Bigger numbers and lower powers of x result in a Smaller number

Here since 0.345 is between 0 and 1 therefore

the number with the highest power i.e. s must be least and the number with the Lowest power i.e. t must be Biggest number

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If \(r=0.345\), \(s=0.345^2\), and \(t=\sqrt{0.345}\), which of the following is the correct ordering of \(r\), \(s\), and \(t\) ?

A. r < s < t B. r < t < s C. s < t < r D. s < r < t E. t < r < s

Since r is a positive decimal between 0 and 1, s = r^2 and t = √r. We see that when r is raised to a power > 1, its value decreases, and when it is raised to a power < 1, its value increases (recall that square root means ½ power). Thus, the correct ordering is s < r < t.

Answer: D
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Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

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