Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(9, 1, 19)
(5, 2, 14)
Option 1: (3, 5, 56)
Option 2: (3, 2, 10)
Option 3: (2, 5, 12)
Option 4: (4, 7, 37)
Correct Answer: (3, 2, 10)
Solution :
Given:
(9, 1, 19); (5, 2, 14)
Multiply the first number by 2 and add the resultant to the square of the second number to get the third number –
⇒(9, 1, 19)→(9 × 2) + 1
2
= 18 + 1 = 19
⇒(5, 2, 14)→(5 × 2) + 2
2
= 10 + 4 = 14
Let's check each option –
First option:
(3, 5, 56)→(3 × 2) + 5
2
= 6 + 25 = 31 ≠ 56
Second option:
(3, 2, 10)→(3 × 2) + 2
2
= 6 + 4 = 10
Third option:
(2, 5, 12)→(2 × 2) + 5
2
= 4 + 25 = 29 ≠ 12
Fourth option:
(4, 7, 37)→(4 × 2) + 7
2
= 8 + 49 = 57 ≠ 37
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
