If a-b-112-214 and b-c-2-312 then what is a-b-c equal to -

The correct option is C 8:12:21 a:b = 112:214 = 32:94 = 8:12 b:c = 2:312 = 2:7/2 = 4:7:12:21 ⇒a:b:c = 8:12:21 ...

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Byju's Answer

Standard VII

Mathematics

Comparison of Rational Numbers

If a:b=112:...

Question

If $a : b = 1 \frac{1}{2} : 2 \frac{1}{4}$ and $b : c = 2 : 3 \frac{1}{2}$ then what is $a : b : c$ equal to ?

12 : 8 : 21

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8 : 21 : 12

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8 : 12 : 21

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21 : 8 : 12

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Solution

The correct option is C $8 : 12 : 21$
$a : b = 1 \frac{1}{2} : 2 \frac{1}{4} = \frac{3}{2} : \frac{9}{4} = 8 : 12$
$b : c = 2 : 3 \frac{1}{2} = 2 : 7 / 2 = 4 : 7 : 12 : 21$
$\Rightarrow a : b : c = 8 : 12 : 21$

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and

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Question 12
To get the product 1, we should multiply $\frac{8}{21}$ by

(a) $\frac{8}{21}$

(b) $\frac{- 8}{21}$

(c) $\frac{21}{8}$

(d) $\frac{- 21}{8}$

Q. If the sum of the series

^{12} C_{5} + 7 .^{12} C_{6} + 21 .^{12} C_{7} + 35 .^{12} C_{8} + 35 .^{12} C_{9} + 21 .^{12} C_{10} + {7.}^{12} C_{11} +^{12} C_{12}

is equal to

^{2 n + 1} C_{12}

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n

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If a:b=112:214 and b:c=2:312 then what is a:b:c equal to ?

The correct option is C 8:12:21a:b=112:214=32:94=8:12b:c=2:312=2:7/2=4:7:12:21⇒a:b:c=8:12:21

If $a : b = 1 \frac{1}{2} : 2 \frac{1}{4}$ and $b : c = 2 : 3 \frac{1}{2}$ then what is $a : b : c$ equal to ?

The correct option is C $8 : 12 : 21$
$a : b = 1 \frac{1}{2} : 2 \frac{1}{4} = \frac{3}{2} : \frac{9}{4} = 8 : 12$
$b : c = 2 : 3 \frac{1}{2} = 2 : 7 / 2 = 4 : 7 : 12 : 21$
$\Rightarrow a : b : c = 8 : 12 : 21$