Question

find the missing term 5 : 120 :: 8 : _______
a. 520
b. 448
c. 504
d. 512

Answer 1

Answer:

504

Step-by-step explanation:

5²-1       :      8²-1

24         :      63

5x24     :      8x63

120        :      504

Answer 2

Question:- find the missing term 5 : 120 :: 8 : _______

Answer: C . 504

Step-by-step explanation:

   ⇒ 5 : 120 :: 8 : ?

This type of question is called relational question both sides comparing to each other

  Like we can see   $5^{3}$ - 5

                             = 125 - 5

                              = 120

Similarly,

                              $8^{3}$- 8

                              = 512 - 8

                             = 504

So the missing term is 504

Answer 3

c.504 is the missing term

The missing term 5: 120:: 8: 504

Step-by-step explanation:

Given:

find the missing term 5 : 120 :: 8 : _______

To find:

The missing term

Solution:

• This series is a numerical analogy in which the numbers are arranged orderly and make a sequence.
• The pattern is (x₁,x₂,x₃,x₄) are the numbers in the series thus x₁, (x₁³-x₂)⇒x₂, x₃, (x₃³-x₃)⇒x₄.
• The pattern of this series is the cubic numbers (5³-5,8³-8)
• The analogy is that we need to find the relation between the two numbers.
• In this number analogy we have to find it for 5:120 and 8:?

        x₁=5

The first number 5 is multiplied by (5×5×5) and subtracted from 5. Thus we get 120, the second number.

5⇒120

        ⇒(5³-5)

        ⇒125-5

     x₂ ⇒120

The third number is 8 .

       x₃=8

8⇒?

       ⇒(8³-8)

       ⇒512-8

    x₄⇒504

The third number 8 is multiplied by (8×8×8) then subtracts from 8. Thus we get 504, the fourth number.

Hence,

The next number is 504.  

The missing term 5: 120:: 8: 504