Question

19: 98 :: 218
(A) 1180
(B) 1100
(C) 988
(D) 1356​

Answer 1

The correct answer is Option(B).

Concept:

When two similar amounts are compared, the ratio is employed. For two numbers, this is the ratio formula. A ratio is said to be in proportion when two or more ratios are equal. Fractions underpin the idea of ratio and proportion.

Given:

19: 98:: 218:

Find:

The number which gives the same ratio.

Solution:

Let, the missing number be x.

$\frac{19}{98}=\frac{218}{x}\\\\ 19x = 98*218 \\19x = 21364\\ x = 1124.42$

Hence, the nearest number is 1100. Option(B) is correct.

The option(A) is incorrect.

The nearest number to 1124.42 is 1100. So, the option (A) is incorrect.

The option(C) is incorrect.

The nearest number to 1124.42 is 1100. So, the option (C) is incorrect.

The option(D) is incorrect.

The nearest number to 1124.42 is 1100. So, the option (D) is incorrect.

Answer 2

Ratios compare two numbers, usually by dividing them. If we are comparing one data point (P) to another data point (Q),

The formula would be P/Q.

That means we are dividing information P by information Q.

Let consider the missing number = x

⇒19: 98 :: 218 : x

⇒ $\frac{19}{98}$ = $\frac{218}{x}$

⇒ 98 × 218 = 19x

⇒ x = (98 × 218) ÷ 19

⇒ x = (21364) ÷ 19

⇒ x= $\frac{21364}{19}$

⇒ x = 1124. 42

As   (1124. 42) is nearer to (1100).

∴ the answer will be :-

option (B)1100

Ans :- (B) 1100