Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 6, 72)
(5, 7,105)
Option 1: (6, 8, 144)
Option 2: (2, 5, 40)
Option 3: (3, 6, 36)
Option 4: (6, 9, 108)
Correct Answer: (6, 8, 144)
Solution :
Given:
(4, 6, 72); (5, 7,105)
Add 2 to the first number, to get the second number and multiply the product of the first and second numbers by 3, to get the third number –
(4, 6, 72)→4 + 2 = 6; 4 × 6 × 3 = 72
(5, 7, 105)→5 + 2 = 7; 5 × 7 × 3 = 105
Let's check each option –
First option:
(6, 8, 144)→6 + 2 = 8; 6 × 8 × 3 = 144
Second option:
(2, 5, 40)→2 + 2 = 4 ≠ 5; 2 × 5 × 3 = 30 ≠ 40
Third option:
(3, 6, 36)→3 + 2 = 5 ≠ 6; 3 × 6 × 3 = 54 ≠ 36
Fourth option:
(6, 9, 108)→6 + 2 = 8 ≠ 9; 6 × 9 × 3 = 162 ≠ 108
So, only the first option follows the same pattern as the given number pair. Hence the first option is correct.
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