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.)
(14, 20, 26)
(22, 28, 34)
Option 1: (32, 38, 44)
Option 2: (4, 6, 11)
Option 3: (25, 30, 44)
Option 4: (10, 20, 24)
Correct Answer: (32, 38, 44)
Solution :
Given:
(14, 20, 26); (22, 28, 34)
Add 6 to the first number to get the second number, and to the second number to get the third number respectively.
⇒ (14, 20, 26)→14 + 6 = 20; 20 + 6 = 26
⇒ (22, 28, 34)→22 + 6 = 28; 28 + 6 = 34
Let's check each option –
First option:
(32, 38, 44)→32 + 6 = 38; 38 + 6 = 44
Second option:
(4, 6,11)→4 + 6 = 10 ≠ 6; 6 + 6 = 12 ≠ 11
Third option:
(25, 30, 44)→25 + 6 = 31 ≠ 30; 30 + 6 = 36 ≠ 44
Fourth option:
(10, 20, 24)→10 + 6 = 16 ≠ 20; 20 + 6 = 26 ≠ 24
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.