Select the option in which the numbers are related in the same way as the numbers of the following sets.
(60, 12, 17), (28, 4, 11)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (72, 8, 17)
In each set the first number is a multiple of the second, so divide the first number by the second and compare the result with the third number.
(60, 12, 17): \(60\div12=5\), and \(12+5=17\)
(28, 4, 11): \(28\div4=7\), and \(4+7=11\)
So the rule is: third number = second number + (first number ÷ second number)
(54, 9, 16): \(54\div9=6\), and \(9+6=15\), not 16
(96, 12, 21): \(96\div12=8\), and \(12+8=20\), not 21
(72, 8, 17): \(72\div8=9\), and \(8+9=17\), which fits
(45, 15, 19): \(45\div15=3\), and \(15+3=18\), not 19
So the set related in the same way is (72, 8, 17).