If A : B = 6 : 7 and B : C =8 : 9. Find the value of C : A ?

\frac{9}{6}

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\frac{16}{21}

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\frac{21}{16}

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\frac{6}{9}

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Solution

The correct option is C $\frac{21}{16}$
$A : B = 6 : 7$
$B : C = 8 : 9$
$∴ A : C = \frac{6 \times 8}{7 \times 8} : \frac{7 \times 9}{9 \times 7} = \frac{48}{56} : \frac{56}{63} = \frac{48}{63}$

Thus, $C : A = \frac{63}{48} = \frac{21}{16}$

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Similar questions

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}

C = {2, 4, 6, 8, 10, 12, 14, 16}; D = {5, 10, 15, 20}

; find
(i)

A - B

(ii)

B - A

(iii)

C - A

(iv)

D - A

(v)

B - C

(vi)

B - D

(vii)

C - B

(viii)

D - B

Q. (a) If A:B=3:4andB:C=7:6 find out A:B:C
(b) If A:B=2:5 andB:C=7:9 find out A:B:C
(c) If A:B=19:21 and B:C=21:7 find outA:B:C

The lowest form of: $\frac{64 a^{3} b^{7} c^{9}}{16 a^{2} b^{6} c^{8}}$

Q. What is the cumulative frequency of the modal class of the following distribution?

Class	3−6	6−9	9−12	12−15	15−18	18−21	21−24
Frequency	7	13	10	23	4	21	16

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If A : B = 6 : 7 and B : C =8 : 9. Find the value of C : A ?

The correct option is C 2116A:B=6:7 B:C=8:9 ∴A:C=6×87×8:7×99×7=4856:5663=4863 Thus, C:A=6348=2116

The correct option is C $\frac{21}{16}$
$A : B = 6 : 7$
$B : C = 8 : 9$
$∴ A : C = \frac{6 \times 8}{7 \times 8} : \frac{7 \times 9}{9 \times 7} = \frac{48}{56} : \frac{56}{63} = \frac{48}{63}$

Thus, $C : A = \frac{63}{48} = \frac{21}{16}$