Select the set in which the numbers are related in the same way as are the…
2024
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(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.)
(19, 456, 6)
(16, 320, 5)
- A.
(18, 378, 7)
- B.
(14, 210, 5)
- C.
(21, 504, 8)
- D.
(18, 648, 9)
Attempted by 8 students.
Show answer & explanation
Correct answer: D
To find the set that follows the same relationship as the given numbers, we must first determine the pattern connecting the three numbers in each set (x, y, z).
Analysis of the Pattern
Let's examine the relationship for the given sets:
Set 1: (19, 456, 6)
First, multiply the first and third numbers: 19 × 6 = 114.
Now, compare this product to the middle number: 456 / 114 = 4.
Relationship: y = (x × z) × 4
Set 2: (16, 320, 5)
Multiply the first and third numbers: 16 × 5 = 80.
Compare to the middle number: 320 / 80 = 4.
Relationship: y = (x × z) × 4
The pattern is to multiply the first and third numbers and then multiply that product by 4 to get the middle number.