Question : Directions: Find out the set of numbers amongst the four sets of numbers given in the alternatives which is most like the set given in the question.
(12, 24, 144)
Option 1: (10, 25, 100)
Option 2: (15, 45, 90)
Option 3: (14, 28, 112)
Option 4: (13, 26, 169)
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Correct Answer: (10, 25, 100)
Solution :
Given:
(12, 24, 144)
Like, 12 = 12 × 1, 24 = 12 × 2, 144 = 12 × 12
Let's check the options –
First option:
(10, 25, 100); 10 = 10 × 1, 25 = 5 × 5, 100 = 10 × 10; Here, all the numbers are not the multiples of the first number, i.e. 10.
Second option:
(15, 45, 90); 15 = 15 × 1, 45 = 15 × 3, 90 = 15 × 6
Third option:
(14, 28, 112); 14 = 14 × 1, 28 = 14 × 2, 112 = 14 × 8
Fourth option:
(13, 26, 169); 13 = 13 × 1, 26 = 13 × 2, 169 = 13 × 13
Hence, the first option is correct.
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