Select the triad in which the numbers are related in the same way as are the…
2024
Select the triad in which the numbers are related in the same way as are the numbers of the given triads. (16, 33, 67), (19, 39, 79)
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /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)
- A.
(22, 45, 91)
- B.
(21, 45, 90)
- C.
(18, 36, 80)
- D.
(14, 27, 53)
Attempted by 31 students.
Show answer & explanation
Correct answer: A
To find the correct triad, we must first determine the mathematical relationship between the numbers in the given examples: (16, 33, 67) and (19, 39, 79).
Pattern Analysis
Let the triad be (a, b, c).
Examine (16, 33, 67):
16 * 2 + 1 = 33
33 * 2 + 1 = 67
The pattern here is: The second number is (first number * 2) + 1, and the third number is (second number * 2) + 1.
Verify with (19, 39, 79):
19 * 2 + 1 = 39
39 * 2 + 1 = 79
The pattern holds true.
The correct triad is (22, 45, 91) because it follows the constant rule of multiplying by 2 and adding 1 to progress from one number to the next in the sequence.