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

Home / Aptitude Tests / Mathematics / If p : q = \(\frac{2...

If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = \(\...

If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ and q : r = $\frac{3}{4}$ : $\frac{1}{2}$ , find p : q : r

A.

12 : 15 : 10

B.

12 : 15 : 16

C.

10 : 15 : 24

D.

9 : 10 : 15

View answer & explanation

Correct answer is A

If p : q = $\frac{2}{3}$ : $\frac{5}{6}$ , then the sum S1 of ratio = $\frac{2}{3}$ + $\frac{5}{6}$ = $\frac{9}{6}$

If q : r = $\frac{3}{4}$ : $\frac{1}{2}$ , then the sum S2 of ratio = $\frac{3}{4}$ + $\frac{1}{2}$ = $\frac{5}{4}$

Let p + q = T1, then

q = ( $\frac{5}{6} \div \frac{9}{6}$ )T1 = ( $\frac{5}{6} \times \frac{6}{9}$ )T1 = $\frac{5}{9}$ T1

Again, let q + r = T2, then

q = ( $\frac{3}{4} \div \frac{5}{4}$ )T2 = ( $\frac{3}{4} \times \frac{4}{5}$ )T2 = $\frac{3}{5}$ T2

Using q = q

$\frac{5}{9}$ T1 = $\frac{3}{5}$ T2

5 x 5T1 = 9 x 3T2

$\frac{T_1}{T_2}$ = $\frac{9 \times 3}{5 x 5}$ = $\frac{27}{25}$

Giving that, T1 = 27 and T2 = 25

P = ( $\frac{2}{3} \div S_1$ )T1 = ( $\frac{2}{3} \div \frac{9}{6}$ )T1

= ( $\frac{2}{3} \times \frac{6}{9}$ )27 = 12

q = ( $\frac{5}{6} \div S_1$ )T1 = ( $\frac{5}{6} \div \frac{9}{6}$ )T1

= ( $\frac{5}{6} \times \frac{6}{9}$ )27 = 15

and r = ( $\frac{1}{2} \div S_2$ )T2 = ( $\frac{1}{2} \div \frac{5}{4}$ )T2

= ( $\frac{1}{2} \times \frac{4}{5}$ )25 = 10

Hence p : q : r = 12: 15 : 10

See all Mathematics questions & answers

See more JAMB questions & answers

Similar Questions

Simplify 56x $^{-4}$ $\div$ 14x $^{-8}$ ...

Find the coordinates of point B ...

Determine the value of m in the diagram ...

In the diagram, KS is a tangent to the circle centre O at R and ∠ROQ = 80°. Find ∠QRS. ...

In the diagram above, O is the centre of the circle through points L, M and N, if ∠MLN = 74o and...

In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72o. ...

Two triangles have the same areas if ...

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2...

If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = {x: 1x $^{2}$ ...

Evaluate $\int \sin 2x dx$ ...

Aptitude Tests

Data Interpretation Questions and Answers

Microsoft Office Questions and Answers

Typing Speed and Accuracy Test

Quantitative Reasoning Questions and Answers

Situational Judgement Questions and Answers

Abstract Reasoning Questions and Answers

Numerical Reasoning Questions and Answers

Verbal Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Spatial Reasoning Questions and Answers

Personality Test

Logical Reasoning Questions and Answers

Puzzles Questions and Answers

View latest jobs in Nigeria today