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Standard VI

Mathematics

Common Multiples

If A:B = 3:5 ...

Question

If A:B = 3:5 and B:C = 4: 3, find A : B : C

8 : 12 : 15

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10 : 12 : 15

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12 : 20 : 15

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8 : 12 : 20

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Solution

The correct option is B $12 : 20 : 15$
$A : B = 3 : 5$
So,

$\frac{A}{B} = \frac{3}{5}$

$A = \frac{3 B}{5}$ ......(1)

$B : C = 4 : 3$
So,

$\frac{B}{C} = \frac{4}{3}$

$C = \frac{3 B}{4}$ ......(2)

From (1) and (2),

$A : B : C = \frac{3 B}{5} : B : \frac{3 B}{4}$

$= \frac{3}{5} : 1 : \frac{3}{4}$

$= 12 : 20 : 15$

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If A = {3, 6, 9, 12, 15, 18, 21}
B = {2, 4, 6, 8, 10, 12, 14, 16}
C = {5, 10, 15, 20}

$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Q. If

A = {3, 6, 9, 12, 15, 18, 21}; B = {4, 8, 12, 16, 20}

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Q. Mark the correct alternative in the following question:

If \frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 5, then a : b : c = (a) 5 : 4 : 3 (b) 20 : 15 : 12 (c) 9 : 12 : 15 (d) 12 : 15 : 20

Q. If

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(iii)

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(iv)

B - A

(v)

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(vi)

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(vii)

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If A:B = 3:5 and B:C = 4: 3, find A : B : C

The correct option is B 12:20:15A:B=3:5So,AB=35A=3B5 ......(1)B:C=4:3So,BC=43C=3B4 ......(2)From (1) and (2),A:B:C=3B5:B:3B4=35:1:34=12:20:15