Question 50

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(30, 14, 8)
(84, 12, 36)

Solution

In each set third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

(30, 14, 8)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{30\ -\ 14}{2}$$

= $$\frac{16}{2}$$

= 8

(84, 12, 36)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{84\ -12}{2}$$

= $$\frac{72}{2}$$

= 36

Option (a) (108, 18, 45)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{108\ -\ 18}{2}$$

= $$\frac{90}{2}$$
= 45
The above given logic is applicable. So this is the correct answer.

Option (b)(68, 14, 49)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{68\ -14}{2}$$

= $$\frac{54}{2}$$
= 27

The above given logic is not applicable. So this is not the correct answer.

Option (c) (21, 28, 11)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{28-21}{2}$$

= $$\frac{7}{2}$$

The above given logic is not applicable. So this is not the correct answer.

Option (d) (24, 8, 10)

third number = $$\frac{Diference\ of\ first\ and\ \sec ond\ number}{2}$$

= $$\frac{24-8}{2}$$

= $$\frac{16}{2}$$
= 8

The above given logic is not applicable. So this is not the correct answer.


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