Determine the unknown value X that completes each of the following numerical analogies, an… — State PSC Exam

Determine the unknown value $X$ that completes each of the following numerical analogies, and arrange the four items in ascending order based on their value of $X$ :

1 $7 : 14 :: 9 : X$
2 $3 : 30 :: 6 : X$
3 $5 : 25 :: 8 : X$
4 $4 : 64 :: 5 : X$

Answer

The correct order from smallest to largest value of

X

is the third item (

X = 18

), followed by the second item (

X = 60

), the first item (

X = 64

), and the fourth item (

X = 125

Solving each analogy gives

X = 18

for the third item (

9 \times 2

X = 60

for the second item (

6 \times 10

X = 64

for the first item (

8^2

), and

X = 125

for the fourth item (

5^3

). Ordering these solved values from lowest to highest produces the sequence: Item 3, Item 2, Item 1, Item 4.

Step-by-Step Solution

Calculate the unknown value

X

for each individual numerical analogy.

For Item 1,

X = 8^2 = 64

. For Item 2,

X = 6 \times 10 = 60

. For Item 3,

X = 9 \times 2 = 18

. For Item 4,

X = 5^3 = 125

Identify the relationship established by the first pair in each item and apply it to find

X

Arrange the resulting

X

values in increasing (ascending) order.

Comparing the values:

18 < 60 < 64 < 125

Sorting the values yields the sequence: Item 3 (

18

), Item 2 (

60

), Item 1 (

64

), Item 4 (

125

Key Concept

Numerical Analogy and Order Comparison

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic