Question

3:14::21:?
A.28
B.32
C.36
D.42

Answer 1

B) 32........................

Answer 2

Answer:

3:14::21:98

Step-by-step explanation:

• The Ratio is the comparison of two quantities of the same kind . Ratio shows many times one quantity is equal to the other quantity. So the ratio can be defined as the number that can be used to express one quantity as a fraction of the other ones. The two numbers  can be in a ratio if and only if they have the same unit. The sign that is used to denote a ratio is ‘:’

• Two ratios are said to be in proportion when these two ratios are equal. Proportion can be defined as an equation that defines that the two given ratios are equivalent to each other.

• To
• calculate any unknown quantities
• in a proportion relation, we can apply following steps:

                 we know, if a:b :: c:d

         then   a:b = c:d

                  ⇒ $\frac{a}{b}$ = $\frac{c}{d}$

• Write an equation using equivalent ratios.

• Now , we have to plug in known values and use a variable to represent that unknown quantity.

       3:14::21:y

       $\frac{3}{14}$  =  $\frac{21}{y}$

       3y - 294 = 0...........................................(i)

• If the numeric part of one ratio is a multiple of the corresponding part of the other ratio then we can calculate the unknown quantity by multiplying the other part of the given ratio by the same number. For Example 21 is the multiple of 3 (7 × 3 = 21), so we can calculate the unknown quantity y by multiplying 14 with 7.

       y = 14 × 7 = 98

• If the relationship between the two ratios is not obvious, then we have to solve the generated equation for the unknown quantity by isolating the variable representing it.

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