Question : Directions: Select the number pair in which the two numbers are related in the same way as the two numbers of the following number pair.
7 : 198
Option 1: 9 : 162
Option 2: 5 : 240
Option 3: 6 : 72
Option 4: 8 : 228
Correct Answer: 8 : 228
Solution :
Given:
7 : 198
Find the square of the first number and then multiply by 2 then add 100 to the resultant number to obtain the second number in the given set of numbers –
7 : 198→((7)
2
× 2) + 100 = (49 × 2) + 100 = 98 + 100 = 198
Let's check the options –
First option:
9 : 162→((9)
2
× 2) + 100 = (81 × 2) + 100 = 162 + 100 = 262 ≠ 162
Second option:
5 : 240→((5)
2
× 2) + 100 = (25 × 2) + 100 = 50 + 100 = 150 ≠ 240
Third option:
6 : 72→((6)
2
× 2) + 100 = (36 × 2) + 100 = 72 + 100 = 172 ≠ 72
Fourth option:
8 : 228→((8)
2
× 2) + 100 = (64 × 2) + 100 = 128 + 100 = 228
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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