Processing math: 100%

Home / Aptitude Tests / Mathematics / T varies inversely a...

T varies inversely as the cube of R. When R = 3, T = \(\frac...

T varies inversely as the cube of R. When R = 3, T = $\frac{2}{81}$ , find T when R = 2

A.

$\frac{1}{18}$

B.

$\frac{1}{12}$

C.

$\frac{1}{24}$

D.

$\frac{1}{6}$

View answer & explanation

Correct answer is B

T $\alpha \frac{1}{R^3}$

T = $\frac{k}{R^3}$

k = TR³

= $\frac{2}{81}$ x 3³

= $\frac{2}{81}$ x 27

dividing 81 by 27

k = $\frac{2}{2}$

therefore, T = $\frac{2}{3}$ x $\frac{1}{R^3}$

When R = 2

T = $\frac{2}{3}$ x $\frac{1}{2^3}$ = $\frac{2}{3}$ x $\frac{1}{8}$

= $\frac{1}{12}$

See all Mathematics questions & answers

See more JAMB questions & answers

Similar Questions

Given that $a*b = ab + a + b$ and that $a ♦ b = a + b = 1$ . Find an expression (not involv...

Factorize the expression 2s $^2$ - 3st - 2t $^2$ ....

Convert 77 to a number in base two ...

The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by ...

Find the value of x such that $\frac{1}{x}$ + $\frac{4}{3x}$ - $\frac{5}{6x}$ + 1 = 0...

Ada draws the graph of y = x2 - x - 2 and y = 2x - 1 on the same axes. Which of these equations is s...

In the diagram, < WOX = 60o, < YOE = 50o and < OXY = 30o. What is the bearing of x from y?...

From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing ...

What value of x will make the function x(4 - x) a maximum?...

Find the minimum value of the function y = x(1+x) ...

Aptitude Tests

Spatial Reasoning Questions and Answers

Data Interpretation Questions and Answers

Quantitative Reasoning Questions and Answers

Verbal Reasoning Questions and Answers

Microsoft Office Questions and Answers

Numerical Reasoning Questions and Answers

Personality Test

Nigeria General Knowledge Questions and Answers

Puzzles Questions and Answers

Situational Judgement Questions and Answers

Abstract Reasoning Questions and Answers

Logical Reasoning Questions and Answers

Typing Speed and Accuracy Test

View latest jobs in Nigeria today