Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.(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.)
(19, 37, 72)
(15, 29, 56)
Option 1: (11, 21, 40)
Option 2: (16, 30, 62)
Option 3: (18, 35, 69)
Option 4: (12, 25, 50)
Correct Answer: (11, 21, 40)
Solution :
Given:
(19, 37, 72); (15, 29, 56)
The first number is multiplied by 2 and from the resultant subtract 1, to get the second number and the second number is multiplied by 2 and from the resultant subtract 2, to get the third number –
(19, 37, 72)→19 × 2 – 1 = 37; 37 × 2 – 2 = 72
(15, 29, 56)→15 × 2 – 1 = 29; 29 × 2 – 2 = 56
Let's check each option –
First option:
(11, 21, 40)→11 × 2 – 1 = 21; 21 × 2 – 2 = 40
Second option:
(16, 30, 62)→16 × 2 – 1 = 31 ≠ 30; 30 × 2 – 2 = 58 ≠ 62
Third option:
(18, 35, 69)→18 × 2 – 1 = 35; 35 × 2 – 2 = 68 ≠ 69
Fourth option:
(12, 25, 50)→12 × 2 – 1 = 23 ≠ 25; 25 × 2 – 2 = 48 ≠ 50
So, only the first option follows the same pattern. Hence, the first option is correct.
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