Loading [MathJax]/jax/output/HTML-CSS/jax.js

Home / Aptitude Tests / Mathematics / If pq + 1 = q2 and t...

If pq + 1 = q² and t = $\frac{1}{p}$ - \(\frac{...

If pq + 1 = q² and t = $\frac{1}{p}$ - $\frac{1}{pq}$ express t in terms of q

A.

$\frac{1}{p - q}$

B.

$\frac{1}{q - 1}$

C.

$\frac{1}{q + 1}$

D.

1 + 0

E.

$\frac{1}{1 - q}$

View answer & explanation

Correct answer is C

Pq + 1 = q²......(i)

t = $\frac{1}{p}$ - $\frac{1}{pq}$ .........(ii)

p = $\frac{q^2 - 1}{q}$

Sub for p in equation (ii)

t = $\frac{1}{q^2 - \frac{1}{q}}$ - $\frac{1}{\frac{q^2 - 1}{q} \times q}$

t = $\frac{q}{q^2 - 1}$ - $\frac{1}{q^2 - 1}$

t = $\frac{q - 1}{q^2 - 1}$

= $\frac{q - 1}{(q + 1)(q - 1)}$

= $\frac{1}{q + 1}$

See all Mathematics questions & answers

See more JAMB questions & answers

Similar Questions

Find the absolute mean deviation of the sample 10, 12, 14, 11, 13. ...

If PST is a straight line and PQ = QS = SR in the diagram, find y. ...

\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \...

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric receive...

The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first f...

The diagram is a polygon. Find the largest of its interior angles ...

The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms ...

A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ...

Find the area of the sector OPSQ ...

In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30o and ∠PQR = 80o. Find ∠SPQ....

Aptitude Tests

Typing Speed and Accuracy Test

Spatial Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Puzzles Questions and Answers

Situational Judgement Questions and Answers

Verbal Reasoning Questions and Answers

Logical Reasoning Questions and Answers

Microsoft Office Questions and Answers

Personality Test

Numerical Reasoning Questions and Answers

Quantitative Reasoning Questions and Answers

Data Interpretation Questions and Answers

Abstract Reasoning Questions and Answers

View latest jobs in Nigeria today