Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (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.)
(15, 25, 35)
(45, 55, 65)
Option 1: (55, 65, 75)
Option 2: (45, 55, 70)
Option 3: (55, 75, 85)
Option 4: (55, 60, 70)
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Correct Answer: (55, 65, 75)
Solution :
Given:
(15, 25, 35); (45, 55, 65)
Add 10 to the first and second numbers, to get the second and third numbers respectively –
⇒ (15, 25, 35)→15 + 10 = 25, 25 + 10 = 35
⇒ (45, 55, 65)→45 + 10 = 55, 55 + 10 = 65
Let's check each option –
First option:
(55, 65, 75)→55 + 10 = 65, 65 + 10 = 75
Second option:
(45, 55, 70)→45 + 10 = 55, 55 + 10 = 65 ≠ 70
Third option:
(55, 75, 85)→55 + 10 = 65 ≠ 75, 75 + 10 = 85
Fourth option:
(55, 60, 70)→55 + 10 = 65 ≠ 60, 60 + 10 = 70
So, only the first option follows the same pattern as the given number pair. Hence, the first option is correct.
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