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.)
(2, 3, 5)
(5, 7, 11)
Option 1: (12, 15, 18)
Option 2: (11, 13, 17)
Option 3: (4, 6, 7)
Option 4: (5, 10, 11)
Correct Answer: (11, 13, 17)
Solution :
Given:
(2, 3, 5); (5, 7, 11)
Find the difference between the first and the second number, and then add the multiplication of the resultant number by 2 to the second number, to obtain the third number in the given set of numbers –
⇒ (2, 3, 5)→3 – 2 = 1 and 3 + (1 × 2) = 3 + 2 = 5
⇒ (5, 7, 11)→7 – 5 = 2 and 7 + (2 × 2) = 7 + 4 = 11
Let's check the options –
First option:
(12, 15, 18)→15 – 12 = 3 and 15 + (3 × 2) = 15 + 6 = 21 ≠ 18
Second option:
(11, 13, 17)→13 – 11 = 2 and 13 + (2 × 2) = 13 + 4 = 17
Third option:
(4, 6, 7)→6 – 4 = 2 and 6 + (2 × 2) = 6 + 4 = 10 ≠ 7
Fourth option:
(5, 10, 11)→10 – 5 = 5 and 10 + (5 × 2) = 10 + 10 = 20 ≠ 11
So, only the second option follows the same pattern as the given set of numbers. Hence, the second option is correct.
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